49
Jerrelle spent $0.60 on five stickers. Each sticker costs the same amount. How much
did each sticker cost?
A
$0.06
B
$0.12
с
$1.20
D $5

Answer:

2(2x + 1) = 2(2x + 1)

Hope this helps

Answer:

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Step-by-step explanation:

The six measurements are:

202, 164, 157, 177, 113, 213

Sample mean:

Sum of all values divided by the number of values which is 6. So

\(S_m = \frac{202+164+157+177+113+213}{6} = 171\)

Sample standard deviation:

Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So

\(s = \sqrt{\frac{(202-171)^2+(164-171)^2+(157-171)^2+(177-171)^2+(113-171)^2+(213-171)^2}{5}} = 35.69\)

Confidence interval

We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.98}{2} = 0.99\). So we have T = 3.365

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm

The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm

The 98% confidence interval for the mean magnesium ion concentration is between 122 ppm and 220 ppm. As the lower bound of the interval is below 195, it is not reasonable to conclude that the mean magnesium ion concentration may be greater than 195

Answer:

C

Step-by-step explanation:

The highest number here is 2.01, so we start by looking for an answer that begins with 2.01. Then we compare 1.48, 1.237,1.234, and 1.2. Look into the tenths place to find that 1.48 has a larger tenths place than any other number. continue this cycle to have the full correct order.

Answer:

Yes

Step-by-step explanation:

The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.

Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.

Therefore we can see that they can be proved congruent by the HL Theorem.

The height of the shooter is 1.4 feet off the ground.

We need to apply trigonometry. Our best choice will be to use the tangent function, which relates the opposite side (height of the shooter) to the adjacent side (distance from the shooter to the car), using the angle of elevation (2 degrees).

Let h = height of the shooter. Then, we can write:

tangent(2°) = h / 40

We can solve for "h" by multiplying both sides by 40 feet:

h = 40 * tangent(2°)

Using a calculator, we find that:

tangent(2°) = 0.0349

So, we have:

h = 40 * 0.0349

h = 1.396 feet

Therefore, the height of the shooter was approximately 1.4 feet (or 16.8 inches) off the ground.

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Answer: 20

Step-by-step explanation:

numbers belonging to the figure on the left are 2.5 times less than on the right so to find x multiply 8 by 2.5 and that is 20

Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

<3

Answer:

y = x - 3

Step-by-step explanation:

ok so r has the cornets of (4,1) and (6,3)

x - 3 = y

4 - 3 = 1

6 - 3 = 3

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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The number of 2 digit whole numbers can be formed using {2,3,5,9} if repetition is allowed is 16 .

Permutation is used in arrangement of n objects in x ways in a definite order , it is denoted by ⁿPₓ= n!/(n-x)! .

In the question ,

4 digits {2,3,5,9} is given , to find 2 digit whole number we use permutation ,

given n = 4 , and x =2 (as we have to select 2 digits number )

So , the number of 2 digit whole numbers that can be formed using 2,3,5,9 with repetition is is given by

⁴P₂ = 4!/(4-2)!

= 4! / 2!

= (4*3*2!)/2!

= 12

and , the numbers formed by repetition are {22,33,55,99} = 4

So , the number of two digit whole numbers are = 12+4 = 16

Therefore , the number of 2 digit whole numbers can be formed using {2,3,5,9} if repetition is allowed is 16 .

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Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

The equivalent expression of -14 - 6 is -14 - (+6)

Equivalent expressions are expressions that have the same value when evaluated

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

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The expression can be used to represent a French sharing one six of a gallon of lemons equally is 1/6g.

It should be noted that expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them

The expression can be used to represent a French sharing one six of a gallon of lemons equally will be:

= 1/6 × g

= 1/6g

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Complete question

Which expression can be used to represent a French sharing one six of a gallon of lemons equally?

1/6g

2/3g

6g

1/3g

Answer:   y=1/8*x+2

Step-by-step explanation:

The equation of any tangent line is y=a*x+b  (1)

To the equation of the tangent line we have to find the coefficients a and b   and the to substitute them to equation (1).

As we know  a=y'(x0) ( where x0=16)

So y'(x)= (√ (x) )' = 1/(2*√x)

a=y'(x0)= 1/(2*√16)=1/(2*4)=1/8

So lets substitute a in equation (1):

y=1/8 *x+b

Now we have to find b

We know that the point (16, 4) belongs to the tangent line.

That means

4=1/8*16+b => 4=2+b => b=2

SO the equation of the tangent line is y=1/8*x+2

1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year

Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year

Gross Yearly Income = $31,200

2)Gross Monthly Income = Gross Yearly Income / Months in a Year

Gross Monthly Income = $31,200 / 12 months

Gross Monthly Income ≈ $2,600

Answer:

325m = c

Step-by-step explanation:

Each meeting room has 325 chairs.

Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.

An equation is a problem with an equals sign so you need to put what it would equal.

Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

π and -0.314314 are irrational numbers, ¾ and -0.3 are rational numbers but not an integer, and -15 is an integer.

π and -0.314314 are irrational numbers, which means that they cannot be expressed as a ratio of two integers. π is approximately equal to 3.14159265358979323846… and its decimal expansion goes on forever without repeating. ¾ and -0.3 are rational numbers because they can be expressed as a ratio of two integers. ¾ is not an integer because it has a fractional part between 0 and 1. -0.3 is not an integer because it has a fractional part between -1 and 0. -15 is an integer, which means that it is a whole number (positive, negative, or zero) without any fractional or decimal parts.

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The complete question is:

Match each number on the left with the correct description of the number on the right.

Answer options on the right may be used more than once.

Column A:

a. π

b. -15

c. -0.314314...

d. ¾

e. -0.3

Column B:

a. This is an integer.

b. This is a rational number, but not an integer.

c. This is an irrational number.

Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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Answer:

x=−2

Step-by-step explanation:

−2x+5−5=9−5

−2x=4

-2x/-2 = 4/-2

x=−2

The result is the same, $2.7048. This result is not surprising because as the number of compounding periods increases, the difference between the amount after each compounding period becomes smaller and smaller. Eventually, the amount after compounding reaches a limit, which is $2.7048 in this case.

a. To calculate the value of the investment compounded monthly, the formula to use is:

A = P * (1 + r/m)^(mt)

where P is the principal, r is the annual interest rate (100% in this case), t is the time in years (1 in this case), m is the number of times compounded in a year (12 in this case), and A is the amount after compounding.

A = $1.00 * (1 + 100% / 12)^(12 * 1)

A = $1.00 * (1 + 100% / 12)^12

A = $1.00 * (1.0083)^12

A = $1.0083^12

A = $2.682

b. To calculate the value of the investment compounded weekly, the formula to use is:

A = P * (1 + r/m)^(mt)

where P is the principal, r is the annual interest rate (100% in this case), t is the time in years (1 in this case), m is the number of times compounded in a year (52 in this case), and A is the amount after compounding.

A = $1.00 * (1 + 100% / 52)^(52 * 1)

A = $1.00 * (1 + 100% / 52)^52

A = $1.00 * (1.00192)^52

A = $1.00192^52

A = $2.7005

c. To calculate the value of the investment compounded daily, the formula to use is:

A = P * (1 + r/m)^(mt)

where P is the principal, r is the annual interest rate (100% in this case), t is the time in years (1 in this case), m is the number of times compounded in a year (365 in this case), and A is the amount after compounding.

A = $1.00 * (1 + 100% / 365)^(365 * 1)

A = $1.00 * (1 + 100% / 365)^365

A = $1.00 * (1.00027)^365

A = $1.00027^365

A = $2.7048

d. To calculate the value of the investment compounded 1000 times in a year, the formula to use is:

A = P * (1 + r/m)^(mt)

where P is the principal, r is the annual interest rate (100% in this case), t is the time in years (1 in this case), m is the number of times compounded in a year (1000 in this case), and A is the amount after compounding.

A = $1.00 * (1 + 100% / 1000)^(1000 * 1)

A = $1.00 * (1 + 100% / 1000)^1000

A = $1.00 * (1.001)^1000

A = $1.001^1000

A = $2.7048

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Examining the graph, it can be deduced that the graph is not a function.

Domain and range are mathematical notation utilized to define the spectrum of possible accepted input values (domain) as well as the corresponding output values (range) in a given function or relation.

A definitive domain correspondingly denotes the compilations of all plausible inputs that generate a valid result when put essentially into the relation or operation.

Conversely, the range defines the plethora of conceivable outputs that this very same function or relation can devise, considering its specified domain.

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Answer:

some particle traveled through empty spaces between atoms and some particles were deflected by electrons

Step-by-step explanation:

The motion of particles will be

some particle traveled through empty spaces between atoms and some particles were deflected by electrons.

So, the observation made the stamement

Then, motion of particles will be

some particle traveled through empty spaces between atoms and some particles were deflected by electrons.

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Answer:

Step-by-step explanation:

Answer:

Expanding the expression 2(d+9) gives:

2(d+9) = 2*d + 2*9

Simplifying the expression gives:

2(d+9) =2d + 18

Therefore, 2(d+9) is equivalent to 2d +18.

The simplified expression is:

Work:

To simplify this expression, I distribute 2 through the parenthesis:

\(\sf{2(d+9)}\)

\(\sf{2\cdot d + 2 \cdot9}\)

\(\sf{2d+18}\)

So what's they?

X intercept is the co-ordinate where the line crosses x axis ,

Y intercept is the co-ordinate where the line crosses y axis

So

The equation that represents line perpendicular to y = 2x - 4 is: D. y = -(1/2)x + 5

The equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Now, let us write each of the given equations in slope intercept form to get:

A. y = 2x - 3

B. y = -(1/2)x + 3/2

C. y = 2x + 5/2

D. y = -(1/2)x + 5

E. y = (1/2)x - 7

Now, the given equation is:

y = 2x - 4

Thus, the slope that is perpendicular to it will be the negative reciprocal which is: -1/2.

Thus, option D is correct

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