The scores on a test are normally distributed with a mean of 80 and a standard deviation of 16. What is the score that is 2 1/2 standard deviations above the mean? A score of _ is 2 1/2 standard deviations above the mean.

Answer:

21

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

1.) up

2.) (-2,-5)

3.) x = -2

4.) (-2,-5)

5.) y = -5

6.) -∞ < x < ∞

7.) -5 < y < ∞

8.) (0,0)

9.) (0,0) and (-4,0)

10.) two solutions

Step-by-step explanation:

1.) because the parabola opens upward and the vertex is down

2.) the lowest point of the parabola is (-2,-5)

3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).

4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.

5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.

6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.

7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.

8.) The parabola first crosses the y-axis at the point (0,0)

9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)

10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.

Does this help you?

Answer:

mean

Step-by-step explanation:

1. The mean is always one of the data values. 3. The mode is always one of the data values.

Answer: The mode.

Step-by-step explanation: The answer to this question is the mode, the answer is mode because there might be some numbers that show up the same amount of times like a different number. So there might be TWO modes :’).

Here are the definitions for mean, median, mode, and range:

Mean (the “average”) —> the sum of the numbers in the data set divided by the amount of numbers in the data set.

Median (the “middle”) —> the number in the middle of the data set, when the numbers are placed in numerical order.

Mode (the “most”) —> the number in the data set that shows up the most often.

Range —> the difference between the data set’s largest number and the data set’s smallest number.

——————————————————————

Hope this helps!!

Answer:

y=6x-2.5

Step-by-step explanation:

It goes up by $6and if it is zero miles it is -2.5.

Answer:

A. $7.00

Step-by-step explanation:

$82-$75=$7.00

Answer:

5 > x

Step-by-step explanation:

3x+2>5x-8 rewrite the inequality by exporting like terms to the same side

2+8 > 5x - 3x now add/subtract like terms

10 > 2x divide both sides by 2

5 > x

Answer:

The triangle is an isosceles triangle

Step-by-step explanation:

Let's get some definitions out of the way:

A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures.

An  isosceles triangle is a triangle in which two  sides are equal lengths, and angles opposite to equal sides are equal

An equilateral triangle is a triangle in which all three sides are equal and all three angles are equal

Let's determine the lengths of each of the three sides in ΔXYZ

The distance formula for the distance between any two points (x1, y1) and (x2, y2) is given by

d² = (x2 - x1)² + (y2 - y1)²
So the distance = the square root of the above expression - d

To find length of XY, take points X(4, 2) and Y(2, -2)
Length XY

\(\sqrt{4-2)^2 + (2 - (-2)^2}\\\\= \sqrt {{4} + {16}}\\\\= \sqrt{20}\)

Length YZ with Y(2, -2) and Z(-2, 0):

\(= \sqrt {(-2 - 2)^2 + (0 - (-2))^2}\\\\ = \sqrt {(-4)^2 + (2)^2}\\\\ = \sqrt {{16} + {4}}\\\\= \sqrt{20}\)

length XZ with X(4, 2) and Z(-2, 0):
\(= \sqrt {(-2 - 4)^2 + (0 - 2)^2}\\\\= \sqrt {(-6)^2 + (-2)^2}\\\\= \sqrt {{36} + {4}}\\\\= \sqrt {40}\)

So in triangle XYZ we have two sides equal.
These are XY and YZ
The third side is different

So the triangle is an isosceles triangle

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:

x=45

Step-by-step explanation:

this should be right

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

it is 385$ because if you divide 70 by 2 you get 35 which is your constant rate so then you divide 77 by 7 to get the number of weeks(11) so then you multiply 11x35 to get the answer of 385

Step-by-step explanation:

70 divided by 2 = 35

77 divided by 7 = 11

35 times 7 = 385

Answer:

C. 385

Step-by-step explanation:

2/70 first you find out the rate by dividing both top and bottom by 2 and you get

1/35 that means every week he is saving $35

77 days = 11 weeks

so you do 11 * 1 = 11 and

11*35 which gets you

385

hope this helps, please make brainliest

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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The exponential expression which is equivalent to \(8 \sqrt{y}\)  is  \(y^\frac{1}{8}\).

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Thus, for the number 32, it may be expressed as 2 2 2 2 25 where 2 is the "base" and 5 is the "exponent". "Two to the fifth power" is how we translate this statement.

The power of a power rule  stress that in a case whereby power is being raised to another power then the exponents can undergo multiplication where the base is been left alone.

Given that \(8\sqrt{y}\)

= \(y^\frac{1}{8}\)

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Answer:

71 %

Step-by-step explanation:

250/350 = 0.714285    

71.4285   move decimal 2 places to the right

71 %  rounded to whole percent

The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we calculate the sample proportion:

Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324

Next, we need to calculate the margin of error.

Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:

Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)

Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.

Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015

Finally, we can construct the confidence interval:

Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)

Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

Now, let's interpret the results.

The correct answer is:

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.

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Answer: 24 hours

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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Answer:

whut

Step-by-step explanation:

Answer:

5/9 = 25/45

Step-by-step explanation

multiply 5/9 by 5/5 this will turn it into 25/45

5x5=25

5x9=45

Answer:

[see below]

Step-by-step explanation:

\(3*2^t\)

When 't' is 1:

\(3*2^1\\\\3*2\\\\\boxed{6}\)

When 't' is 4:

\(3*2^4\\\\3*16\\\\\boxed{48}\)

Hope this helps.

Answer:

Step-by-step explanation:

3 time 2 with the power of t

You see the given values, 1 and 4?

All you need to do is replace those values with 1 and 4.

3 x 2 with the power of 1.

2 times the power of one is just 2 because you aren't multiplying it with another 2.

So, 3 times 2 is 6.

3 x 2 with the power of 4

2 x 2 x 2 x 2 = 16

It's not 2 times 4; it's 2 times the power of 4-- which means we multiply the number by itself depending on the given value we're given.

I hope this helps!

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

SA = 2(lw + lh + hw), where:

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

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To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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If a,b,c are positive real numbers, the inequality \(\frac{(a+b)^{2} }{c} +\frac{c^{2} }a\) \(\geq 4b\) is not correct because it gives the value a³+2a²b+ab²≥4abc

How to find the solution set of an inequality?

Inequality is a mathematical statement showing that two quantities are not equal.

The given inequality is \(\frac{(a+b)^{2} }{c}\) +\(\frac{c^{2} }{a}\)\(\geq\)4abc

Simplifying the inequality we have \(\frac{(a+b)(a+b)}{c}\) +\(\frac{c^{2} }{a }\) \(\geq\)4b

This implies that: \(\frac{a^{2}+ab+ab+b^{2} }{c}\) +\(\frac{c^{2} }{a}\) \(\geq\) 4b

Taking the LCM,

\(\frac{a^{2}+2ab+b^{2} }{c}\) +\(\frac{c^{2} }{a}\) \(\geq\)4b

Simplifying further

\(\frac{a^{3}+2a^{2}b+ab^{2}+c^{3} }{ac}\) \(\geq\)4b

The expression gives that: a³+2a²b+ab²≥4abc

Comparing the values of a,b,c on both sides of the inequality,  the inequality is wrong.

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Answer:

6 & 4

8 & 3

12 & 2

1 & 24

Step-by-step explanation:

Any pair of numbers whose product is 24

The number 24 multiplied by 10 results in 240

Hope this helps

Answer:

0.29

Step-by-step explanation:

Answer:

it's 0.29 because we move the decimal point 2 spaces to the left

Answer:

A

Step-by-step explanation:

B - 11,015 = 2t ( add 11,015 to both sides )

B = 2t + 11,015 , that is

B(t) = 2t + 11,015

Answer:

A.    B(t) = 2t + 11015

Step-by-step explanation:

Original equation:

B - 11015 = 2t

Add 11015 to both sides:

⇒ B = 2t + 11015

Write as function of t:

⇒ B(t) = 2t + 11015