Plsssss IXL plsss help meeee plsss

Plsssss IXL Plsss Help Meeee Plsss

Answers

Answer 1

Answer:

12 square root 6

Step-by-step explanation:

45=X and 90=x square root 2

so if X = 12 square root 3 then you add the square root 2 from the 90 and that will end up giving you 12 square root 6


Related Questions

a) Estimate the value of 98.5 x 13
b) Estimate the value of 102.3 + 4.7

Answers

Answer:

A.)98.5 x 13=100 x 13 = 1300.

B.)The estimate result of 102.3 divided by 4.7 is 20.

Step-by-step explanation:

when divide 100 by 5 , we get 20.

Answer:

es el inciso b)

Step-by-step explanation:

de nada espero te sirva

You are on a fishing trip with your friends. The diagram shows the location of the river, fishing hole, campsite, and bait store. The campsite is located 200 feet from the fishing hole. The bait store is located 110 feet from the fishing hole. How wide is the river?.

Answers

the width of the river is approximately 64.03 feet.

To determine the width of the river, we can use the concept of triangle similarity.

Let's assume that the river width is represented by the variable "x".

From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 200^2 = (200 + 110)^2

Simplifying the equation:

x^2 + 40000 = 44100

x^2 = 44100 - 40000

x^2 = 4100

Taking the square root of both sides:

x = sqrt(4100)

x ≈ 64.03 feet

Therefore, the width of the river is approximately 64.03 feet.

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Hi , please help and explain fully ! ( I don't understand how to work this one out)

Hi , please help and explain fully ! ( I don't understand how to work this one out)

Answers

Answer:

to 1dp = -2.6

to 2 dp= -2.64

as fraction = 29/-11

Step-by-step explanation:

x+1 = 6(2x+5) - you multiply each side by 2x + 5

x+1 =12x+30 - expanding the brackets

x-12x+1=30 - subtract 12x from both sides

x -12x = 30-1 - subtract one from both sides

-11x = 29 - you just work each side out to get these answers

29/-11 =x - divide -11 from both sides

-2.63636363636 =x - using a calculator ( if finding whole number ) you do 29/-11

to 1dp = -2.6

to 2 dp= -2.64

Everyone who lives in the Oak Vista apartment complex is required to pay $60 per month for cable television. For the residents of Oak Vista, cable television is a:

Answers

Cable television is a form of television programming that is delivered to subscribers through a coaxial or fiber-optic cable network. It typically offers a wide range of channels and programming options, including news, sports, movies, and TV shows.

For the residents of Oak Vista, cable television is a mandatory service that is included in their monthly rent or housing fees. This means that all residents are required to pay $60 per month for the cable TV service, regardless of whether they use it or not. This is known as a bundled service, where a single fee is charged for multiple services or products.

The reason for the mandatory cable TV service is likely due to the fact that the apartment complex has a contract with a cable TV provider, and the cost of the service is spread across all residents. Additionally, offering a bundled service can be a way for the complex to offer a lower overall price for cable TV, since the cost is spread across a larger group of people.

While some residents may not want or need cable TV, the mandatory fee means that they must pay for the service regardless. However, some complexes may offer alternative options or allow residents to opt-out of the service for a reduced fee.

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what could be the maximum number of deaths if only 27% of the people in a population of eighteen million is susceptible?

Answers

The maximum number of deaths could be 5840000.

What is susceptible?Being prone to something indicates you are more likely to get sick from it, such as an infection or an earache.Has something ever been given to you that you didn't want? Well, that is probably going to be the case since the word "susceptible" means "likely to be influenced or affected by." If you're easily swayed by flattery, all someone needs to do to get what they want from you is to pay you one or two compliments. Crack-prone materials won't last very long in good condition.

acc to our question-

total popuation= 8000000susceptinlr percentage= 278000000 * 27/10021600008000000 - 21600005840000.

hence,The maximum number of deaths could be 5840000.

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Times for the three parts of a journey are 20 minutes 40 minutes 1 hour and 30 minutes work out the total time for the journey give your answer in hours

Answers

Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.

What is a fraction?

The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.

Main Body:

total time = 20 minutes + 40 minutes + 1 hour 30 minutes

                = 2.5 hours or 5/2 hours.

Hence total time for journey is 2.5 hours.

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Hi! Please help me!

Lightbulbs act as resistors. Janine is building a circuit that contains two lightbulbs in parallel. One of the lightbulbs has a
resistance of 120 ohms, but the resistance of the second lightbulb is unknown. She models the total
resistance in the
circuit, t, with this equation, in which r represents the resistance of the second lightbulb.
t =
1207
+ 120
Find the inverse of Janine's equation.

Look at photo below

Thank you have a nice day:)

Hi! Please help me! Lightbulbs act as resistors. Janine is building a circuit that contains two lightbulbs

Answers

Answer:

The answer is t^-1 (r)=120r/120-r

i hope this is right sry if im wrong have a good day :)

The inverse of Janine's equation is \(r = \frac{120t}{120-t}\) .

What is resistance?

Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).

According to the question

Janine is building a circuit that contains two lightbulbs in parallel.

One of the lightbulbs has a resistance of 120 ohms.

R = 120ohms

r = resistance of the second lightbulb

t = total resistance in the circuit  

\(t = \frac{120r}{r+120}\)

Now,

The inverse of Janine's equation in which we will make r independent

\(t = \frac{120r}{r+120}\)

\(t(r+120) = 120r\)

\(tr + 120t = 120r\)

\(120t = 120r - tr\)

\(120t = r(120-t)\)

\(r = \frac{120t}{120-t}\)

Hence, the inverse of Janine's equation is \(r = \frac{120t}{120-t}\) .

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Type the expression that results from the following series of steps:
Start with t, subtract 6, multiply by 2, then add 5.

Answers

Answer:

t = 7

Step-by-step explanation:

\(t - 6 \times 2 + 5 = 0 \\ t - 12 + 5 = 0 \\ t - 7 = 0 \\ t = 7\)

I saw the other answer didn’t work I tried a different method not sure if it’s correct but you can try it

t - 6 x 2 + 5
t - 6 x 7
t = 42

Construct a spreadsheet simulation model to simulate 1,000 rolls of a die with the six sides numbered 1, 2, 3, 4, 5 and 6.
a. Construct a histogram of the 1,000 observed dice rolls.
b. For each roll of two dice, record the sum of the dice. Construct a histogram of the 1,000 observations of the sum of two dice.
c. For each roll of three dice, record the sum of the dice. Construct a histogram of the 1,000 observations of the sum of three dice.
d. For each roll of four dice, record the sum of the dice. Construct a histogram of the 1,000 observations of the sum of four dice.
e. Compare the histograms in parts (a), (b), (c), and (d). What statistical phenomenon does this sequence of charts illustrate?

Answers

To construct a spreadsheet simulation model that simulates 1,000 rolls of a die with the six sides numbered 1, 2, 3, 4, 5 and 6, the following steps should be followed.

Step 1: Open Microsoft Excel and create a new spreadsheet.Step 2: In cell A1, write the word "Roll". In cell B1, write the word "Outcome".Step 3: In cell A2, type the number "1". In cell B2, enter the formula "=INT(RAND()*6)+1".Step 4: Select cells A2:B2, and drag them down 999 rows.

This will create 1,000 dice rolls.Step 5: Select the data in cells A1:B1000 and click the "Insert" tab at the top of the screen. Click on the "Column" chart icon and select the type of histogram that you want to use.

Step 6: To label the x-axis and y-axis, right-click on the chart and select "Chart Elements". Choose "Axis Titles" and enter "Outcome" for the y-axis and "Roll" for the x-axis.

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You have completed 1000 simulation trials, and determined that the average profit per unit was $6.48 with a sample standard deviation of $1.91. What is the upper limit for a 89% confidence interval for the average profit per unit

Answers

The upper limit for the 89% confidence interval of the average profit per unit, based on the 1000 simulation trials, is estimated to be $6.98.

Find the upper limit of the 89% confidence interval ?

To find the upper limit for an 89% confidence interval for the average profit per unit, we can use the following formula:

Upper limit = sample mean + margin of error

The margin of error can be calculated using the following formula:

Margin of error = z* (standard deviation/ sqrt(n))

where z* is the z-score associated with the level of confidence we are interested in, n is the sample size, and the standard deviation is the sample standard deviation.

To find the z-score associated with an 89% confidence interval, we can use a standard normal distribution table or a calculator. The z-score for an 89% confidence interval is approximately 1.645.

Substituting the given values in the formula, we get:

Margin of error = 1.645 * (1.91 / sqrt(1000)) = 0.099

Now, we can calculate the upper limit as:

Upper limit = sample mean + margin of error = 6.48 + 0.099 = 6.579

Therefore, the upper limit for an 89% confidence interval for the average profit per unit is $6.579.

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Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1.

Answers

Answer:

y = 0.47x + 25

y1 = 41.45 and not 55.55

Step-by-step explanation:

Given that:

x = number of brochures

y = total. Cost

Total cost of 35 brochures = $41.45

Total cost of 65 brochures = $55.55

The ordered pairs :

(x1, y1) ; (x2, y2)

x1 = 35 ; y1 = 41.45 ; x2 = 65 ; y2 = 55.55

(35, 41.45), (65, 55.55)

The slope :

Slope (m) = change in y / change in x

m = (y2 - y1) / (x2 - x1)

m = (55.55 - 41.45) / (65 - 35)

m = 14.1 / 30

m = 0.47

The y intercept :

y - y1 = m(x - x1)

y - 41.45 = 0.47(x - 35)

y - 41.45 = 0.47x - 16.45

y = 0.47x - 16.45 + 41.45

y = 0.47x + 25

Lila incorrectly chose 41. 45 as y1

Answer:

C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Step-by-step explanation:

Took the quiz on Edge && Made an 100%

What is the first step to evaluate 55 - 15 + 29?
A: 55-15
B: 15+29
C: 55-29

Answers

Answer:

B

Step-by-step explanation:

You use PEDMAS to evaluate the perfect number so in the PEDMAS it says addition then to subtraction so, the addition goes first. And when you have both addition you go left to right :)

Answer: B
Explanation: Use pemdas

E O
What is the common ratio between successive terms in the sequence?
2, 4, 8, -16, 32, 64, ...
O-2
06
O 6
O2

Answers

Answer:

-2

Step-by-step explanation:

-16/2= 8

8/-16=-2

not sure though

The common ratio of the geometric progression is r = 2

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A = 2, 4, 8, 16, 32, 64, ...

Now , the common ratio r = second term / first term

On simplifying , we get

r = 4 / 2

r = 2

Hence , the common term of GP is r = 2

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line q has an eqaution of y= -10/9x +2. line r includes the point (9, -3) and is parallel to line q. What is the eqaution of line r.​

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of line Q

\(y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{10}{9}}x+2\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line whose slope is -10/9 and it passes through (9 , -3) for line R

\((\stackrel{x_1}{9}~,~\stackrel{y_1}{-3})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{10}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{- \cfrac{10}{9}}(x-\stackrel{x_1}{9}) \implies y +3= -\cfrac{10}{9} (x -9) \\\\\\ y+3=-\cfrac{10}{9}x+10\implies {\Large \begin{array}{llll} y=-\cfrac{10}{9}x+7 \end{array}}\)

Evaluate 24 + c when c = 9

Answers

Answer:

24 + c , c=9 so 24+9 = 33

Step-by-step explanation:

A speed skater goes around a turn with a 25 m radius. The skater has a velocity of 15 m/s and experiences a centripetal force of 720 N. What is the mass of the skater?

Answers

Answer:

80 kg

Step-by-step explanation:

To find the mass of the skater, you can use the formula for centripetal force:

F_centripetal = m * v^2 / r

Where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.

Plugging in the values you know, you get:

720 N = m * (15 m/s)^2 / 25 m

Solving for m, you find that the mass of the skater is:

m = 720 N * 25 m / (15 m/s)^2

= 720 N * 25 m / 225 m^2/s^2

= 80 kg

So the mass of the skater is approximately 80 kilograms.

You are designing a rectangular poster to contain 48 in^2 of printing with a 3​-in margin at the top and bottom and a 1​-in margin at each side. What overall dimensions will minimize the amount of paper​ used?

Answers

To minimize the amount of paper used to create a rectangular poster with a given amount of printing and specific margins, you can use the formula for the area of a rectangle to determine the dimensions that will minimize the area of the poster.

In this case, the area of the poster must be at least 48 square inches to contain the printing, and the margins at the top and bottom must be 3 inches each, for a total of 6 inches. The margins at the sides must be 1 inch each, for a total of 2 inches. Therefore, the minimum area of the poster is 48 + 6 + 2 = 56 square inches.

To minimize the amount of paper used, we want to find the dimensions of the poster that will have the smallest possible area while still satisfying the constraints on the margins and the amount of printing. We can do this by using the formula for the area of a rectangle:

A = lw

where A is the area of the rectangle, l is the length, and w is the width.

In this case, we want to find the length and width that will minimize the area of the rectangle while still satisfying the constraints on the margins and the amount of printing. We can do this by setting the area of the rectangle equal to the minimum area we calculated above (56 square inches) and then solving for the length and width:

A = lw = 56

lw = 56

We can then use the constraints

I will give this a try, and if anything, maybe my strategy will suggest this problem could use some clarification. I think the ambiguity of the problem is a challenge. Anyway, 48 sq in of printing space can be achieved via 1x48, 2x24, 3x16, 4x12, or 6x8 (using strictly whole number factors). The 3+3=6 inches of added height and 1+1=2 inches of added width can be added in turn to each of these possible length and width pairs.

There are technically ten configurations of poster measurements since the problem didn’t state if it was landscape or portrait in orientation. For example, l x w, using 6x8, changes to 8x14=112 sq in. since you added 2 in of length and 6 in of height; 8x6 changes to 10x12=120 sq in. The 4x12 and 12x4 variants yield 6x18 (108 sq in) and 14x10 (140 sq in). The 3x16 and 16x3 variants yield 5x22 (110) and 18x9 (162). Most likely the 2x24 and 1x48 print areas are not optimal, but yield 4x30=120, 26x8=208, 3x54=162, and 50x7=350, and make me wonder—what exactly is getting printed?! Context matters! At the end of all this, the 1x48 uses only 162 sq in of paper while maintaining the 48 sq in of printing space. That’s my answer. Go with the 1x48–>3x54=162 sq in. Good luck!

when sampling from a population with , which of the following sample means is more surprising? why? sample a: a random sample of 9 pell grant recipients with a mean award amount of $2750. sample b: a random sample of 36 pell grant recipients with a mean award amount of $2750.

Answers

Sample mean in sample b to be less variable and more representative of  population mean than sample mean in sample a.

Standard error measures the variability of sample means around the population mean.

It decreases as sample size increases.

Using the formula for the standard error of the mean,

Calculate the standard errors for each sample,

Standard error of sample a

= s/√(n)

= 850/√(9)

= 283.33

Standard error of sample b

= s/√(n)

= 850/√(36)

= 141.67

Where s is the sample standard deviation

And n is the sample size.

The standard error of sample b is smaller than the standard error of sample a.

Sample mean in sample b is more likely to be closer to true population mean than sample mean in sample a.

Therefore, sample mean b is more surprising as larger sample size makes it more likely and accurately represents population mean.

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The U.S. Senate consists of 100 senators, with 2 from each of the 50 states. There are 50 Democrats in the Senate. A committee of size 10 is formed, by picking a random set of senators such that all sets of size 10 are equally likely. a) Find the expected number of Democrats on the committee. b) Find the expected number of states represented on the committee (by at least one senator) c) Find the expected number of states such that both of the state's senators are on the committee.

Answers

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

 How is this so ?

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Show ABC≈ABD
....,......
.......​

Show ABCABD....,.............

Answers

Answer:

Step-by-step explanation:

From the triangles given in the figure,

Given:

AC ≅ AD

m∠ABC = m∠ABD = 90°

To prove:

ΔABC ≅ ΔABD

Solution:

          Statements                           Reasons

1). AC ≅ AD                        1). Given

2). AB ≅ AB                       2). Reflexive property

3). ΔABC ≅ ΔABD             3). By HL theorem for congruence of the triangles

Circuitville has been selling an average of 22 Intelliphones per day. On August 31 they have an inventory of 110 Intelliphones. Write a linear function modeling the daily inventory. Then use the model to predict the date the store will have to restock if they want to have at least 25 phones in stock at all times.

Answers

The linear function modelling the daily inventory in t days after August 31 is given by:

I(t) = 110 - 22t.

Using the given function, they must restock the store on September 3.

What is a linear function in slope-intercept format?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).

In the context of this problem, we have that:

The intercept is of b = 110, as on the reference day, which is of August 31, they have 110 Intelliphones.The slope is of m = -22, as on each day they sell 22 phones, meaning that the amount decays by 22.

Thus the model is given as follows:

I(t) = 110 - 22t.

They must have at least 25 phones in stock at all times, hence:

I(t) >= 25

110 - 22t >= 25

22t <= 85

t <= 85/22

t <= 3.86.

Rounding down, as after 4 days they would have less than 25 phones, they must restock the store on September 3, which is 3 days after August 31.

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what is the standard form 2x-3x2=5??​

Answers

35 because 2x-3.45.there is the answer 35

write the ratio
14:56
in it's simplest form

Some one please help me !!!

Answers

Answer:

= 1 : 4

Step-by-step explanation:

14 : 56 in it's simplest form

= 14 / 56

= 1/4

= 1 : 4

14 : 56 = 1 : 4

Therefore, 14 : 56 in it's simplest form is 1 : 4

8c + 20 = -180

c =

can some one help me please

Answers

Answer:

c = -25

Step-by-step explanation:

8c + 120 = -180

Subtract 20 from both sides.

8c = -200

Divide both sides by 8.

c = -25

Answer:

C = -25

Step-by-step explanation:

Start by getting C alone, subtract 20 from the left side of the equal sign and subtract 20 from the right. (what you do on one side you MUST do to the other) this gives you 8c= -200. Divide 8 from 8c on the right side and divide 8 from -200 on the left side. This will give you c= -25

jeanine baker makes floral arrangements. she has 16 different cut flowers and plans to use 7 of them. how many different selections of the 7 flowers are possible?

Answers

There are 2,808 different selections of 7 flowers from a set of 16.

What is Combinations and Permutations?

Combinations and permutations are mathematical concepts used to count and calculate the number of possible arrangements or selections from a given set of objects.

The number of different selections of 7 flowers from a set of 16 can be calculated using the combination formula. The formula for combinations, denoted as \($\binom{n}{k}$\)is given by:

\(\[\binom{n}{k} = \frac{n!}{k! \cdot (n-k)!}\]\)

where n is the total number of items in the set, and k is the number of items to be selected.

In this case, we have n = 16 (total number of flowers) and k = 7 (number of flowers to be selected). Plugging these values into the formula, we get:

\(\[\binom{16}{7} = \frac{16!}{7! \cdot (16-7)!}\]\)

Simplifying the expression, we have:

\(\[\binom{16}{7} = \frac{16 \cdot 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10}{7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1}\]\)

Calculating the numerator and denominator separately, we get:

\(\[\text{Numerator} = 16 \cdot 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 = 14,158,080\]\[\text{Denominator} = 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 5,040\]\)

Finally, dividing the numerator by the denominator, we find:

\(\[\binom{16}{7} = \frac{14,158,080}{5,040} = 2,808\]\)

Therefore, there are 2,808 different selections of 7 flowers from a set of 16.

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Corinne made apple jam and strawberry jam. She made enough apple jam to
fill 1 jars. If she made 3 times as much strawberry jam as apple jam, how
many jars will the strawberry jam fill?

Answers

Answer:

3

Step-by-step explanation:

   1                 ×3              =3

apple jam      times          strawberry

Each if the 24 students in Mr. Macons class flipped 3 coins. How many students would you expect to get 3 heads.

Answers

Solution

\(n=24\)

The probability of getting 3 heads from 3 coins is

\(p=\frac{1}{8}\)

The expected value will be

\(\begin{gathered} E(X)=24\times\frac{1}{8} \\ \\ E(X)=3 \end{gathered}\)

The answer is 3 students

what are the three pairs of corresponding angles?

what are the three pairs of corresponding angles?

Answers

Answer:

318is / 786 the line for Abby at Asia Ray and the angel is the B

Step-by-step explanation:

i hope it work

2. What is the rule for the function table?

2. What is the rule for the function table?

Answers

Answer:

Subtract 2 from the term number

Step-by-step explanation:

Answer:

Add 2 to the term number

Step-by-step explanation:

Hope this helps :)

Show solutions 1. Convert the base ten numeral 65 to a base seven numeral 2. Reduce 63/90 to lowest terms

Answers

The base seven numeral equivalent of 65 in base ten is 122.

The fraction 63/90 reduces to 7/10 in lowest terms.

To convert the base ten numeral 65 to a base seven numeral, we divide 65 by 7 repeatedly and record the remainders. The process is as follows:

65 ÷ 7 = 9 remainder 2

9 ÷ 7 = 1 remainder 2

1 ÷ 7 = 0 remainder 1

Reading the remainders from bottom to top, the base seven numeral equivalent of 65 is 122.

To reduce 63/90 to lowest terms (simplify), we find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD. The process is as follows:

GCD(63, 90) = 9

Dividing both the numerator and denominator by 9, we get:

63 ÷ 9 = 7

90 ÷ 9 = 10

Therefore, 63/90 reduces to 7/10 in lowest terms.

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