Find the missing length for the right triangle by using the Pythagorean Theorem. Round your answer to the nearest hundredth, if necessary.

20% of 66=13.20

66-13.2=52.80

10% of 66=6.60

52.80+6.60=59.40

Answer:

$59.40

Step-by-step explanation:

You find out the discount by finding how much 20% is of 66 the you minus 66 by the discount of 13.20 which equals 52.80 . After you need to find 10% of 66 which is 6.60. then once you get past that you add 52.80+6.60=59.40

Hope this helps

Answer:

Yes

Step-by-step explanation:

All sides and angles look equal and appears to be a regular hexagon

Hope this helped and have a good day

Answer:

Yes.

Step-by-step explanation:

Hello!

A regular polygon is a closed shape with sides of equal length, and angles of equal degree. A regular polygon also forms around a general center.

This seems to be a regular polygon as all side lengths and angles seem to be equivalent, and there is a center point to the .

This shape is a hexagon, so the measure of the angles are 120°.

Answer:

32

Step-by-step explanation:

Use the given functions to set up and simplify  f (− 2 ) .

First,

Write the problem as a mathematical expression

Then,

Replace the variable  x  with  − 2  in the expression.

Answer:

The answer is 24

Step-by-step explanation:

You would get this by plugging in -2 for X

2(-2)3(-2)

Then with PEMDA do parenthesis first

So (-4)(-6)

Then multiply the final together and you would get..

24

This is because two negatives equal a positive when multiplying.

The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

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The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.

To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.

Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.

Note: Here is the question in English:

What is the meaning of the moon fishes in the puddle?

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Answer:

Step-by-step explanation: You start by subtracting the original price from the new price.

Which is $42 from $33.60

$42-$33.60=$8.40

So $8.40 is your discount rate.

Answer:

20/3 ≈ 6.66

Step-by-step explanation:

20÷3= 20/3 ≈6.66

The confidence interval is displayed as a horizontal line segment with a dot representing the sample portion in the middle of the interval is (0.387, 0.613).

Let the sample be p = 0.5

N = 75

The critical value for α = 0.05 is Zc = Z(1-α/2) = 1.96 . The corresponding confidence interval is computed as shown:

\(CI = (p - Zc \sqrt{\frac{p(1-p)}{n} } , p+Zc \sqrt{\frac{p(1-p)}{n})\)

CI = (0.387, 0.613)

Therefore, based on the data provided , the 95% confidence interval for the population proportion is 0.387<p<0.613, which indicated that we are 95% confident that the true population proportion p is contained by the interval (0.387, 0.613).

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Complete question:

Use the Confidence Intervals for Proportions applet. Set the population proportion to 0.5, the confidence level to 95% and the sample size to 75. 2. Click "Sample” to choose an SRS and display the resulting confidence interval. The confidence interval is displayed as a horizontal line segment with a dot representing the sample proportion in the middle of the interval. The true proportion (p) is the green vertical line.

9514 1404 393

Answer:

  28.81 m

Step-by-step explanation:

The tangent relation can help find the height of the building above the observer's eye.

  Tan = Opposite/Adjacent

  Opposite = Adjacent·Tan

  above eye height = (47 m)(tan 30°) ≈ 27.14 m

Adding this to the eye height gives the height of the building above the ground where the observer is standing.

  27.14 m + 1.67 m = 28.81 m

The height of the building to the nearest centimeter is 28.81 meters.

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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Answer:

which one equals 12? option C

Step-by-step explanation:

Answer:

BOYS = 30.

GIRLS = 12.

Step-by-step explanation:

Boys: B

Girls: G

B = (2/5)G

B + G = 42.

(2/5)G + G = 42

2G + 5G = 210

7G = 210

G = 210/7

G = 30.

B = (2/5)G

B = (2/5)(30)

B = 60/5

B = 12.

Answer:

\(\Huge \boxed{\bold{\text{12 Boys}}}\)

\(\Huge \boxed{\bold{\text{30 Girls}}}\)

Step-by-step explanation:

Let the number of girls be \(g\) and the number of boys be \(b\).

According to the problem: \(b = \frac{2}{5} \times g\)

We also know that the total number of students is 42, so \(b + g = 42\).

Now, we have two equations with two variables:

We can solve these equations to find the values of \(b\) and \(g\).

Step 1: Solve for \(\bold{b}\) in terms of \(\bold{g}\)

From the first equation, we have\(b = \frac{2}{5} \times g\)

Step 2: Substitute the expression for \(\bold{b}\) into the second equation

Replace \(b\) in the second equation with the expression we found in step 1.

\(\frac{2}{5} \times g + g = 42\)

Step 3: Solve for \(\bold{g}\)

Now, we have an equation with only one variable, \(g\):

\(\frac{2}{5} \times g + g = 42\)

To solve for \(g\), first find a common denominator for the fractions:

\(\frac{2}{5} \times g + \frac{5}{5} \times g = 42\)

Combine the fractions:

\(\frac{7}{5} \times g = 42\)

Now, multiply both sides of the equation by \(\frac{5}{7}\) to isolate \(g\):

Step 4: Find the value of \(\bold{b}\)

Now that we have the value of \(g\), we can find the value of \(b\) using the first equation:

So, there are 12 boys and 30 girls in the class.

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Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Answer:

3x³+3x²+3x+8+\(\frac{4}{x-1}\)

Step-by-step explanation:

You can use synthetic division for this problem since the divisor is in (x-a) form. The fraction is the remainder over the divisor.

Answer:

Fraction form: it snowed 2 1/10 inches in total, decimal form: in other words it snowed 2.1 inches.

Step-by-step explanation:

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

\(f(t)=\left \{ {{0 ,\-t<0 }\atop {\frac{e^{-t/\mu}}{\mu}},t\geq0} \right. \\\)

Consider the second function:

\(f(t)=\frac{e^{-t/\mu}}{\mu}\\\)

Where Average waiting time = μ = 2.5

The function f(t) becomes

\(f(t)=0.4e^{-0.4t}\)

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

\(\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt\)

which is equal to 0.01

Solve the equation for x

\(\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01\)

Take natural log on both sides

\(ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53\)

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

Answer:

91

Step-by-step explanation:

We just have to put in the value of x into the equation.

  8 - 4[x - (2x² + 5)] + 3

= 8 - 4[3 - (2×3² + 5)] + 3

= 8 - 4[3 - (2×9 + 5)] + 3

= 8 - 4[3 - (18 + 5)] + 3

= 8 - 4(3 -23) + 3

= 8 - 4(-20) + 3

= 8 - (-80) + 3

= 8 + 80 + 3

= 91

Answer:

I think. its below

Step-by-step explanation:

1 x 8 = 8

4 x 8 = 32

If Ann broke up a large array into two smaller arrays. The two smaller arrays show 1 X 8 and 4 X 8 then 40 is Anna started array.

Multiplication is a method of finding the product of two or more numbers

Given,

Ann broke up a large array into two smaller arrays.

Th first smaller array show  1 X 8

The second smaller array show  4 X 8.

First smaller array show  1 X 8

=8

Second smaller array show  4 X 8.

32

Now let us add both the arrays

32+8=40

Hence, 40 is the  large array that Ann started.

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To find the domain of the expression 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)), we need to consider the values of x for which the expression is defined.

First, we need to consider the square root term, sqrt(5x^2-8x). The square root of a number is only defined for nonnegative values, so we need to find the values of x for which 5x^2-8x is nonnegative. We can do this by setting 5x^2-8x equal to 0 and solving for x:

5x^2-8x=0

5x(x-8)=0

We can see that x=0 and x=8 are the solutions to this equation. Since the square root of a negative number is not defined, the expression 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)) is only defined for x values that are greater than or equal to 0 and less than or equal to 8. This means that the domain of the expression is x ∈ [0, 8].

To solve the equation 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)), we can start by isolating one of the exponential terms on one side of the equation. Let's isolate the term 2^(sqrt(5x^2-8x)):

24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x))

22^(2sqrt(5x^2-8x)+1)=332^(sqrt(5x^2-8x))

2^(2sqrt(5x^2-8x)+1)=16.52^(sqrt(5x^2-8x))

2sqrt(5x^2-8x)+1=4.5+sqrt(5x^2-8x)

sqrt(5x^2-8x)=3.5

5x^2-8x=12.25

5x^2-8x-12.25=0

We can use the quadratic formula to solve this equation for x:

x = (-(-8) ± sqrt((-8)^2 - 45(-12.25))) / (2*5)

x = (8 ± sqrt(64 + 97)) / 10

x = (8 ± sqrt(161)) / 10

x = (8 ± sqrt(289)) / 10

x = (8 ± 17) / 10

x = -9/10 or 25/10

Since x must be greater than or equal to 0 and less than or equal to 8, the only solution that is within the domain of the expression is x=25/10, or x=2.5.

Therefore, the solution to the equation 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)) is x=2.5.

what do you mean by domain of a function?

The domain of a function is the set of all input values for which the function is defined. In other words, it is the set of all values that can be plugged into the function as an argument, or input, and produce a valid output

For example, consider the function f(x) = x^2. The domain of this function is all real numbers, since the function is defined for any value of x. However, some functions may not be defined for certain values of x. For example, the function g(x) = 1/x is not defined for x=0 because division by zero is not allowed. In this case, the domain of the function g(x) would be all real numbers except for x=0.

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Answer:

A is 4/7

Step-by-step explanation:

Take the absolute value of -4/7 and find the answer.

|-4/7|=

4/7

Hope this helps! :)

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

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

Hence the correct option is (b).

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Answer:

A:10B:  \(\frac{A}{2}\)

Step-by-step explanation:

[] Let A be Amy, B be Bill, and C is Cara.

-> Amy's score was ten times Bill's score

A * 10 = B or 10A = B

-> Cara's score was half of Amy's score

C = A * \(\frac{1}{2}\)  or C = \(\frac{A}{2}\)

[] The ratio is A to B to C because it asks for Amy to Bill to Cara. We can use our numbers from above to solve. This problem seems to revolve around Amy, so she can be set to A.

-> A = A

-> B = 10A

-> C =  \(\frac{A}{2}\)

A:10B:  \(\frac{A}{2}\)

Have a nice day! - hopefully this is correct, different math classes look for different things.

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

The margin of error for a 96% confidence interval is of 0.0114 = 1.14%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is given by:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

For this problem, we have that:

\(n = 400, p = \frac{395}{400} = 0.9875\)

96% confidence level

So \(\alpha = 0.04\), z is the value of Z that has a pvalue of \(1 - \frac{0.04}{2} = 0.98\), so \(Z = 2.056\).

Calculate the margin of error for a 96% confidence interval.

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 2.056\sqrt{\frac{0.9875(0.0125)}{400}}\)

\(M = 0.0114\)

The margin of error for a 96% confidence interval is of 0.0114 = 1.14%.

Answer:

Some 224 people were in favor of the expansion.

Step-by-step explanation:

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.

The error in computing the area of triangle is 10.75 and the percentage error in computing the area of triangle is 1.194%.

Given that, base of the triangle is 36 cm (a)

Altitude of the triangle is 50 cm (b)

Error in each measurement is 0.25 cm

We know that, area of the triangle (s) = 1/2 * base * altitude

Let us consider base as ' a ' and altitude as ' b '

So, the maximum error of ' s ' can be calculated as

⇒ ds/da * da + ds/db * db

⇒ 1/2* b * da + 1/2 *a * db

⇒ 1/2* 36 * 0.25 + 1/2* 50* 0.25

⇒ 4.5 + 6.25 = 10.75

Now, let us calculate the percentage error in computing the area of the triangle.

dA/A * 100 = [(1/2* b* da + 1/2* a * db)/ 1/2* b *h] * 100

⇒ [(1/2* 36 * 0.25 + 1/2* 50 * 0.25)/ 1/2* 36 * 50] * 100

⇒ [ 21.5/ 1800 ] * 100

⇒ 1.194%

Thus, the error in computing the area of the triangle is 10.75 and the percentage error in computing the area of the triangle is 1.194%.

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Answer: $49.18

Step-by-step explanation:

$98.35 divided by 2 equals 49.175 if rounded it is $49.18