y = 4/5x + 8
2x+y = -6
Plot two lines by clicking the graph.

The length of the diagonal side is 82, or answer (d) in its simplest radical form.

The Pythagorean Theorem must be utilized in order to determine the length of the diagonal side of a square with a length of 8 feet. You can use the formula a2 + b2 = c2, where a and b are the sides of the triangle and c is the hypotenuse, since the diagonal side of the square is. Because a and b are both 8 feet, you can use those numbers to solve for c:

82 + 82 = c2 64 + 64 = c2 128 = c2 The length of the diagonal side is 82, or answer d in its simplest radical form.

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Chance that a student passes the test out of 400 students is 5%.

Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.

Probability that a student will pass the test = 10% = 0.1

Probability that a student fails = 1 - 0.1 = 0.9

We have to find P(X≥50), where X  is binomial distribution where n=400 and p=0.1

We can find P(A ≥ 49.5) using the normal approximation where Y is normal and by continuity correction, we can say that,

Mean = 40

Variance = 36

This is equal to,

P(Z > 49.5−40 / √36) = P( Z > 1.6)

where Z

is the standard normal distribution.

This probability is approximately 5%.

Hence the probability is 5%.

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Answer: 28/45

Step-by-step explanation:

tan is \(\frac{opposite}{adjacent}\).

In this case, tanA = \(\frac{28}{45}\)

Answer:

x² = \(\frac{256}{9}\)

Step-by-step explanation:

\(\frac{3x}{4}\) - 13 = - 9 ( add 13 to both sides )

\(\frac{3x}{4}\) = 4 ( multiply both sides by 4 to clear the fraction )

3x = 16 ( divide both sides by 3 )

x = \(\frac{16}{3}\)

Then

x² = ( \(\frac{16}{3}\) )² = \(\frac{16^2}{3^2}\) = \(\frac{256}{9}\)

Answer:

see explanation

Step-by-step explanation:

(a)

constant of proportion = \(\frac{d}{t}\) ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant = \(\frac{225}{5}\) = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

(a)

constant of proportion =  ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant =  = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

46 minutes.

Step-by-step explanation:

2 km in 13 minutes would equal to 6 minutes and 30 seconds per km.

minutes: 6 x 7 = 42

seconds: 30 x 7 = 210

seconds pt 2: 210/60 = 3 minutes 30 seconds

adding altogether: 42 minutes + 3 minutes 30 seconds + 45 minutes 30 seconds, rounded would equal to 46 minutes

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

a. There is a 0.6827 percent chance that the random variable will take on a value between 45 and 55. b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

a. To find the probability that the random variable will assume a value between 45 and 55, we need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 45 is:

\(z = (45 - 50) / 5 = -1\)

The z-score for 55 is:

\(z = (55 - 50) / 5 = 1\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 45 and 55 is:

P(-1 < Z < 1) = 0.6827 (to 4 decimals)

As a result, there is a 0.6827 percent chance that the random variable will take a value between 45 and 55.

b. To find the probability that the random variable will assume a value between 40 and 60, we again need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 40 is:

\(z = (40 - 50) / 5 = -2\)

The z-score for 60 is:

\(z = (60 - 50) / 5 = 2\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 40 and 60 is:

P(-2 < Z < 2) = 0.9545 (to 4 decimals)

Hence, there is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

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The statement that  "probability is only used in gambling situations, not in business decision-making." is not true regarding probability. Because Probability theory is not limited to gambling situations, but is widely used in business decision-making to assess risks, make predictions, and inform strategic planning.

Probability is a fundamental concept that provides a framework for understanding uncertainty and making informed decisions.

This statement is false because probability theory is widely used in various fields, including business decision-making, finance, engineering, and many others, to assess risks, make predictions, and inform decision-making. Probability is not limited to gambling situations only.

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Answer:

105 degerees

Step-by-step explanation:

Answer:

D) 60°

Step-by-step explanation:

360-40-105-155=60°

Answer:

y = (7/4)x + 3

Step-by-step explanation:

(isolate the y variable by moving 7x) 4y = 7x + 12

(divide by 4 to get y by itself) y = (7/4)x + 3

Answer: 1728

Step-by-step explanation:

multiples of 8 = 1,2,4,8

multiples of 12= 1,2,3,4,6,12

Answer:

108r4

Step-by-step explanation:

91+16 yea go install senebratic

Answer:

It has been answered and I need some point so I hope you don't mind lol

Step-by-step explanation:

Step-by-step explanation:

molar mass of NaOH = 23 g/mol (for Na) + 16 g/mol (for O) + 1 g/mol (for H) = 40 g/mol

moles of NaOH = 30 g / 40 g/mol = 0.75 mol

500 mL = 0.5 L

molarity = moles of solute / liters of solution

molarity = 0.75 mol / 0.5 L = 1.5 M

Therefore, the molarity of the solution is 1.5 M to the nearest tenth.

Answer:  The last option appears correct.

Step-by-step explanation:

-7*(-6 - 1/8)

-7*(-6) + 7*(1/8)

7(6) + 7*(1/8)

27/2 or 13.5 pieces.

To find the quotient, we need to divide the length of the sub sandwich by the length of each piece she wants to cut it into:

9 ÷ (2/3)

We can simplify this by multiplying the numerator by the reciprocal of the denominator:

9 ÷ (2/3) = 9 × (3/2)

Multiplying straight across:

9 × (3/2) = 27/2

So Jenny will be able to cut the sub sandwich into 27/2 or 13.5 pieces.

Step-by-step explanation:

Cutting a 9 inch sub into 2/3 inch pieces ?

9 inch / 2/3 inch / piece = 9 * 3/2= 27/2 = 13.5 pieces ~ 13 with a bit left over

Answer:

C: x=9

Step-by-step explanation:

DE is half of AC.

2x6=12

3x-15=12

3x=27

x=9

The Sam receives $0.96 back from the clerk.Sam receives $0.96 back from the clerk.

To calculate how much money Sam receives back from the clerk, we need to determine the total cost of the items purchased by the four friends and subtract it from the $20.00 that Sam gave to the clerk.

Each friend bought 1 bottle of juice and 3 bags of pretzels. The cost of a bottle of juice is $1.49, and the cost of a bag of pretzels is $0.85.

The total cost for each friend is:

1 bottle of juice = $1.49

3 bags of pretzels = 3 * $0.85 = $2.55

The total cost for all four friends is:

4 friends * ($1.49 + $2.55) = $4.76 * 4 = $19.04

Now, we subtract the total cost from the $20.00 Sam gave to the clerk:

$20.00 - $19.04 = $0.96.

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Answer:

24 chickens

Step-by-step explanation:

5x8=40, meaning that 3x8 will equal the amount of chickens there are.

there are 24 chickens.

In terms of t (the number of hours since midnight), the temperature, d, can be expressed as follows:

d = 8 * sin((π / 12) * t - (π / 3)) + 55

Explanation:

To model the temperature as a sinusoidal function, we can use the form:

d = A * sin(B * t + C) + D

Where:

- A represents the amplitude, which is half the difference between the high and low temperatures.

- B represents the period of the sinusoidal function. Since we want a full day cycle, B would be 2π divided by 24 (the number of hours in a day).

- C represents the phase shift. Since the low temperature occurs at 4 am, which is 4 hours after midnight, C would be -B * 4.

- D represents the vertical shift. It is the average of the high and low temperatures, which is (high + low) / 2.

Given the information provided:

- High temperature = 63 degrees

- Low temperature = 47 degrees at 4 am

We can calculate the values of A, B, C, and D:

Amplitude (A):

A = (High - Low) / 2

A = (63 - 47) / 2

A = 8

Period (B):

B = 2π / 24

B = π / 12

Phase shift (C):

C = -B * 4

C = -π / 12 * 4

C = -π / 3

Vertical shift (D):

D = (High + Low) / 2

D = (63 + 47) / 2

D = 55

Now we can substitute these values into the equation:

d = 8 * sin((π / 12) * t - (π / 3)) + 55

Therefore, the equation for the temperature, d, in terms of t (the number of hours since midnight), is:

d = 8 * sin((π / 12) * t - (π / 3)) + 55

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Answer:

Step-by-step explanation:

Take 17 away from 1:00 = 12:43

Take 17 away from 1:43 = 1:26

Take 17 away from 2:26 = 2:09

Take 17 away from 3:09 = 2:52

There we are: at the time which the watch says now.

Now let's see what the correct time should be:

at 12:43 it is really 1:00

at 1:26 it is really 2:00

at 2:09 it is really 3:00

at 2:52 it is really 4:00

However, it says the watch stopped 6 hours ago meaning that the time should be 10:00 as 4 + 6 = 10.

Answer:

C) 80

Step-by-step explanation:

triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees

Answer:

a) 50yd2

b) 7ft2

Step-by-step explanation:

a) 1/2 x b x b

1/2 x 4 x 25 = 50

b) 1/2 x b x h

1/2 x 4 x 3.5 = 7

Answer:

Yes, Tori had enough money to buy the DVD.

Step-by-step explanation:

The total cost of the DVD with tax included would be $18.13. Yes, Tori had enough money to buy the DVD.

The result of this division is x + 7, and the remainder is 3x - 4. Therefore, we can write: x² + 6x - 4

How to divide given polynomials?

To divide the given polynomials, we will use long division. The first step is to divide the highest degree term of the numerator, which is x², by the highest degree term of the denominator, which is x:

      x

--------------

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

The result of this division is x, and we write it above the long division bar. Then, we multiply the divisor x-1 by x, which gives us x² - x. We write this below the numerator, and subtract it from the numerator:

      x

--------------

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

          ---------

               7x - 4

Now we bring down the next term of the numerator, which is -4, and repeat the process:

      x + 7

--------------

x - 1 | x² + 6x - 4

     | x² - 1x

     | -------

          7x - 4

          ---------

               3x - 4

The result of this division is x + 7, and the remainder is 3x - 4. Therefore, we can write:

x² + 6x - 4

x - 1 = x + 7 + (3x - 4)/(x - 1)

So, the answer is p(x) = x + 7 and k = 3. Therefore:

x² + 6x - 4

x - 1 = x + 7 + 3/(x - 1)

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From a group of two girls and five boys, all of the various ages, two pupils are randomly selected. The likelihood that the two selected students will be boys is 10/21.

In probability theory and other branches of mathematics, the term "combination" designates a series of results in which the order of the results is irrelevant.

Here given the total number of girls is 2 and boys is 5. Then, the total number of students is 7. The number of ways of selecting 2 students from 7 students is,

\(\begin{aligned}n(S)&=\frac{7C2}{2}\\&= \frac{7\times6}{2}\\&=\text{21 ways}\end{aligned}\)

The number of ways of selecting 2 boys from 5 boys is,

\(\begin{aligned}n(E)&=\frac{5C2}{2}\\&=\frac{5\times4}{2}\\&=\text{10 ways}\end{aligned}\)

Then, the required probability is calculated as,

\(\begin{aligned}P(E)&=\frac{n(E)}{n(S)}\\&=\frac{10}{21}\end{aligned}\)

Therefore, the required answer is 10/21.

The complete question is -

Two students are chosen at random from a group of two girls and five boys, all of the different ages. Find the probability that the two students chosen will be: two boys

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The statistical measures are:

Min: 2

Q1: 4

Med: 8

Q3: 13

Max: 15

The box and whiskers plot is attached.

Box and whiskers plot is a simple way of representing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, usually with a vertical line inside to indicate the median value.

The lower and upper quartiles are shown as horizontal lines on either side of the rectangle.

The statistical measures are as follows:

The minimum value is the lowest number in the data set. Thus:

Min = 2

The lower quartile (Q1) is the value under which 25% of data points are found when they are arranged in increasing order. That is:

2, 2, 3, 4, 5, 5, 8

Q1 = 4

The median is the value in the middle of an ordered set of

numbers.

2, 2, 3, 4, 5, 5, 8, 8, 10, 10, 11, 13, 15, 15, 15

Med = 8

The upper quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.

10, 10, 11, 13, 15, 15, 15

Q3 = 13

The maximum value is the highest number in the data set. Thus:

Max = 15

Check the attached for image of the plot.

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Answer:

21=1/2n+5

There were 32 volunteers on the first day

Step-by-step explanation:

number of volunteers on the first day=n

21=number of volunteers on the second day

21=1/2n+5