Shawn buys a new bike for $75.50 and a new helmet for $12.50. If the sales tax rate is 11%, what will be the amount of sales tax on Shawn’s purchase?

Answer:

can we see the picture?

The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

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

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

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Answer:

Bases

Step-by-step explanation:

Answer:

1 and a half inches long

Because that 3 divided by 2 is 1.5.

Answer:

636 million miles.

Step-by-step explanation:

672 minus 36 is 636. (Because they're both in the millions, you can just subtract their face values).

Since they have the same term (million) we simply subtract 672 and 36, then add million to the answer. 636 million miles is the difference in distance.

Answer:

13.5

Step-by-step explanation:

Put the numbers in order from smallest to largest

6,12,15,32

Find the middle

6,12   ,15,32

The middle is between 12 and 15 so average them

(12+15)/2 = 27/2 = 13.5

Answer:

13.5

Step-by-step explanation:

The "Median" is the middle number in a data set

To do this...

Step 1. Order the numbers from smallest to largest

Answer: 6, 12, 15 & 32

Step 2. Find the median (middle number)

Answer: Since the median is between 12 and 15,

we'll need to add both numbers and divided the sum

in half

12 + 15 = 27/2 = 13.5

therefore. the median of the data set is 13.5

Answer:

The answer is option B.

Step-by-step explanation:

f(x) = √x

g(x) = x - 7

To find f o g(x) replace every x in f (x) by

g(x)

That's

\(f \: o \: g \: (x) = \sqrt{x - 7} \)

Hope this helps you

Answer:

C. and D.

Step-by-step explanation:

Solution:

Note that:

Simplify the equation and solve for x.

Since there are five zeros, the term that completes the equation is 10⁵.

Let the unknown number be x

solve for x

1,200 ÷ x = 0.012

\(↦ 1,200 \times \frac{1}{x} =\frac{12}{1000}\)

\(↦ \frac{1200}{x} = \frac{12}{1000}\)

\(↦ 1,200,000 = 12x\)

\(↦ \bold\red{ x = 100,000 }\)

Answer :- \( \bold\red{10^5 }\)

Answer:

I would probably choose warlock if my computer could handle it ;w;

Half Angle Formula

Answer:

Checking:

Also,

The answer is none of the choices

Answer:

8.3 is to 1d.p so to find the error interval, you divide 0.1 by 2 = 0.05

8.3 + 0.05 = 8.35

8.3 - 0.05 = 8.25

8.25<y<8.35

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 20 hours, standard deviation of 6:

This means that \(\mu = 20, \sigma = 6\)

Sample of 150:

This means that \(n = 150, s = \frac{6}{\sqrt{150}}\)

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}\)

\(Z = 2.04\)

\(Z = 2.04\) has a p-value of 0.9793

X = 19.5

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}\)

\(Z = -1.02\)

\(Z = -1.02\) has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D

Answer:

its A

Step-by-step explanation:

Answer:

10,800 kilograms

Step-by-step explanation:

(24 x 30) x 15 = 10,800

or (24 x 15) x 30

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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The result of the division in ordinary decimal notation is 300.

Scientific notation, also known as standard form or exponential notation, is a method of expressing very large or very small numbers in a compact and standardized way.

To perform the indicated operation, we need to divide 0.00036 by 0.0000012.

First, let's express both numbers in scientific notation

0.00036 = 3.6 x 10^(-4)

0.0000012 = 1.2 x 10^(-6)

Now we can divide the two numbers and simplify

3.6 x 10^(-4) / 1.2 x 10^(-6) = (3.6 / 1.2) x 10^(-4-(-6)) = 3 x 10^(2)

Finally, we can convert this result back to ordinary decimal notation

3 x 10^(2) = 300

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The given question is incomplete, the complete question is:

Convert each number to scientific notation and perform the indicated operations. Express the result in ordinary decimal notation. 0.00036/0.0000012

Answer:

.004

Step-by-step explanation

8 tosses results in 2^8 = 256 possible combinations

    only ONE is  all heads  

    1/256 = ~.004

Answer:

0.004

Step-by-step explanation:

the probability of landing on heads for each time does not depend on what you landed on the first time, therefore the equation is just 0.5^8, which is equal to 0.0039...

Answer:

Step-by-step explanation:

Let |x-a|=b

then x-a=±b

so x-a=b

or x=a+b

so a+b=18   ...(1)

and x-a=-b

or x=a-b

or a-b=8   ...(2)

adding (1) and (2)

2a=26

a=26/2=13

subtract (2) from (1)

2b=10

b=10/2=5

|x-13|=5

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Answer:

no answer cuz it says 35 points instead of 70

Step-by-step explanation:

Answer:

I believe its 120 hours

Step-by-step explanation:

3 weeks = 15 hours

4 weeks = 15 x 2 = 30

4 + 4 = 8

8 x 15 = 120

Hope that helped

The value of c in the triangle is (b) 5 units

From the question, we have the following parameters that can be used in our computation:

The right triangle

The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem

c² = sum of squares of the legs

Using the above as a guide, we have the following:

c² = 3² + 4²

Evaluate

c² = 25

Take the square roots

c = 5

Hence, the hypotenuse of the right triangle is 5

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Answer: Without a perpendicular cut, we cannot determine the height of the triangle directly. However, we can use the Pythagorean Theorem to find it indirectly.

Let's assume that Francine has cut the paper into a right triangle ABC, where AB and BC are the legs of the triangle, and AC is the hypotenuse. Let x be the length of AB and y be the length of BC. We can then use the Pythagorean Theorem to find the length of AC:

AC^2 = AB^2 + BC^2

We don't know the exact values of AB and BC, but we do know that the area of the triangle is given by:

Area = (1/2) * AB * BC

We can use this formula to find the area in terms of x and y:

Area = (1/2) * x * y

Now we need to eliminate one of the variables (either x or y) so that we can express the area in terms of the other variable and AC. We can do this by rearranging the Pythagorean Theorem to solve for one of the variables:

x^2 = AC^2 - y^2

y^2 = AC^2 - x^2

Let's solve for y:

y^2 = AC^2 - x^2

y = sqrt(AC^2 - x^2)

Now we can substitute this expression for y into the formula for the area:

Area = (1/2) * x * sqrt(AC^2 - x^2)

To find the maximum possible area, we need to maximize this expression. We can do this using calculus, by taking the derivative of the expression with respect to x, setting it equal to zero, and solving for x. However, since we only need an approximate answer to the nearest tenth of a square centimeter, we can use trial and error to find the value of x that gives the maximum area. We can start by trying different values of x, and using a calculator to evaluate the expression and find the corresponding area.

Let's try a few values of x:

If x = 0, then the area is 0.

If x = AC/2 (i.e., if the triangle is isosceles), then the area is (1/8) * AC^2 * sqrt(3), which is approximately 0.433 * AC^2.

If x = AC/sqrt(3) (i.e., if the triangle is equilateral), then the area is (1/4) * AC^2 * sqrt(3), which is approximately 0.433 * AC^2.

Since the area is maximized when the triangle is equilateral, we can assume that the piece of paper is an equilateral triangle, and use the formula for the area of an equilateral triangle:

Area = (sqrt(3)/4) * side^2

where side is the length of one of the sides of the triangle. To find the side length, we need to know the length of AC. We don't know the exact value of AC, but we can estimate it by measuring the length of the longest side of the piece of paper (assuming that it is the hypotenuse of the triangle). Let's say that the longest side is 30 cm. Then, by the Pythagorean Theorem, we can find the length of the other two sides:

x^2 + y^2 = 30^2

x^2 + (sqrt(AC^2 - x^2))^2 = 30^2

2x^2 + AC^2 - x^2 = 900

x^2 = (900 - AC^2)/

Step-by-step explanation:

Answer:

.........,..........,.

Step-by-step explanation:

.................. .....

Answer: (6, 0)

Step-by-step explanation:

Plug each coordinate in and see if the equation holds true.

At (6,0), \(4(6)-5(0)=24\).

So (6, 0) is a solution of the equation.