Sarah is taking a test. The test is designed to produce an overall mean score of 85 with a standard deviation of 5 for all test takers.

Suppose Sarah scored a 90 on the test. Given that the data is approximately normal, standardize the test score and find the area

under the normal curve below the standardized test score

A.

The area below the standardized test score is 0.504

B.

The area below the standardized test score is 0.1587

C.

The area below the standardized test score is 1

D.

The area below the standardized test score is 0.8413

Answer:

the counting numbers and zero are whole numbers.

the counting numbers and their opposites, along with zero, are integers.

integers and decimal equivalents of fractions are rational numbers.

Answer:

Answer:

the counting numbers and zero are whole numbers.

the counting numbers and their opposites, along with zero, are integers.

integers and decimal equivalents of fractions are rational numbers. hoped this helped  

Answer

F=1+1/2

Step-by-step explanation:

(10)=-2F+13

We move all terms to the left:

(10)-(-2F+13)=0

We get rid of parentheses

2F-13+10=0

We add all the numbers together, and all the variables

2F-3=0

We move all terms containing F to the left, all other terms to the right

2F=3

F=3/2

Answer:

-6

Step-by-step explanation:

f(x)=-2x+13

f(10)=-2(10)+14

f(10)=-20+14

f(10)=-6

Answer:

The correct answer is 2 pi d

Step-by-step explanation:

Answer:

28 years

Step-by-step explanation:

To find the number of years that the investment will reach $3500, we can use the formula of compound interest:

P = Po * (1+r)^t

where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.

In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:

3500 = 1800 * (1+0.0246)^t

1.0246^t = 3500/1800

1.0246^t = 1.9444

Using logarithm in both sides:

log(1.0246^t) = log(1.9444)

t*log(1.0246) = 0.2888

t * 0.0106 = 0.2888

t = 0.2888 / 0.0106 = 27.2453 years

So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)

Answer:

d 125

Step-by-step explanation:

Supplementary angles add to 180 degrees

Let x be the supplement to the 55 degree angle

55+ x =180

Subtract 55 from each side

55+x-55 =180-55

x = 125

Without an actual box plot to reference, it's impossible to accurately determine which set of donation amounts correctly corresponds to the box plot in question.

The question seeks to identify the set of donation amounts that matches a given box plot. When analyzing sets of donation amounts to determine which one aligns with a box plot, we look for key features such as the minimum, the maximum, the median, and the quartiles. These features divide the data set into four parts of equal importance, helping us understand the distribution of the data.

Given that there isn't an actual box plot provided, we would typically compare the given options against the features one would expect to find in a box plot:

However, without the specific details of the box plot, such as the exact median or quartile values, we cannot accurately determine which set of donations matches the box plot. Typically, an analysis would involve calculating or identifying these characteristic numbers from each option and then seeing which one fits the description given by the box plot.

If you double the radius of a circle, the circumference also doubles; however, the number of radii that can fit around the circumference remains unchanged.

If you double the radius of a circle, the circumference of the circle also doubles because the formula for the circumference of a circle is 2πr (`r` being the radius). Thus if `r` becomes 2r, the circumference becomes 2(2πr) or 4πr, which is twice the original circumference.

Similarly, if you try to fit radii around the circle, you would find that exactly the same number of radii will fit around the circle as before. This is because the radius is the distance from the center of the circle to the circumference, and no matter how long the radius is, you can always fit exactly 2π radii around the circumference. Doubling the radius length therefore does not alter the number of radii that can fit around the circle.

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Answer:-204.8

Step-by-step explanation:

Answer:

-204.8

Step-by-step explanation:

Answer: Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

Answer:

73.8 cubic mm.

Step-by-step explanation:

The volume of a square V is given by the formula:

[tex]V= \frac{4}{3}\pi r^{2}[/tex] where r is the radius of the sphere.

We also know that the diameter is two times the radius, so in this case if the diameter is 8.4 mm, then the radius is 4.2 mm.

Now we substitute the information in the formula, taking into account that we are going to use the value of 3.14 for [tex]\pi[/tex].

[tex]V= \frac{4}{3}\pi r^{2}\\ V= \frac{4}{3}(3.14)(4.2)^{2} \\V=\frac{(4)(3.14)(17.64)}{3} \\V=\frac{221.55}{3}=73.8528[/tex]

Which rounded to the nearest tenth is 73.8. Thus, the sphere's volume is 73.8 cubic mm.

Answer:

V = 310.2 mm³

Step-by-step explanation:

The formula for volume of a sphere is given as:

V = 4/3 * π * r³

where r is the radius of the sphere.

We are given the diameter in the question. Diameter is twice the radius. So, radius = diameter/2

     radius = 8.4/2

     radius = 4.2 mm

V = 4/3 * π * r³

  = 4/3 * 3.14 * (4.2)³

V = 310.181

V = 310.2 mm³

Answer:

likely; think of it like you picking 87 red marbles out of a box of 100 different colored marbles. probability of 87/100 you picking a red marble

Answer:

50 1/6% (50 and one sixth) or $22.92

Step-by-step explanation:

Answer:

$25.92

Step-by-step explanation:

48÷2=24 (price after 50% off)

24×4.5=108

108÷100=1.08(% of tax per dollar)

1.08×24=25.92 (final price)

Answer:

[tex]-4p^3-3p^2-17p[/tex]

Step-by-step explanation:

Combine like terms:

[tex]-3p^3+ 5p^2- 2p -p^3 - 8p^2-15p=-4p^3-3p^2-17p[/tex]

The (-3p³ + 5p² - 2p) +(-p³ - 8p² – 15p) can be simplified as -4p³ - 3p² - 17p

Polynomials are expression that can have constant, variables and exponents.

Therefore,

(-3p³ + 5p² - 2p) + (-p³ - 8p² – 15p)

we have to use the positive value outside to open the bracket.

-3p³ + 5p² - 2p - p³ - 8p² - 15p

-3p³ - p³ + 5p² - 8p² - 2p - 15p

Hence,

-3p³ - p³ + 5p² - 8p² - 2p - 15p = -4p³ - 3p² - 17p

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Answer:5

Step-by-step explanation:because,yes!

Answer:

5

Step-by-step explanation:

i did the quiz

Answer:    should be

X=6,1

6:13 =83

6+13=19

1 part=83÷19

=4.37

6×4.4=26.4

13×4.4=57.2

26.4:57.2

p.s I got how much money only...

sorry

Answer:

39cm to the 2nd aka 39cm^2

Step-by-step explanation:

The area of the irregular shape is 38 cm^3.

The area of the triangle is half times of base and height.

[tex]\rm Area \ of \triangle=\dfrac{1}{2} \times Base \times height[/tex]

A tile installer plots an irregular shape on grid paper.

Each square on the grid represents 1 square centimeter.

The area of the triangle is;

[tex]\rm Area \ of \triangle=\dfrac{1}{2} \times Base \times height\\\\Area \ of \triangle=\dfrac{1}{2} \times4 \times 4\\\\Area \ of \triangle=8[/tex]

The area of the rectangle is;

[tex]\rm Area \ of \ recatngle =length \times width\\\\ Area \ of \ recatngle =3 \times 5\\\\ Area \ of \ recatngle =15[/tex]

The area of the parallelogram is;

[tex]\rm Area \ of \ a \ parallelogram = base \times height\\\\ Area \ of \ a \ parallelogram =5\times 3\\\\ Area \ of \ a \ parallelogram =15[/tex]

The area of the irregular shape is;

= 8 + 15 + 15=38

Hence, the area of the irregular shape is  38 cm^3.

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Answer:

its 24

Step-by-step explanation:

i got it right on ed 2020

Answer:

The correct answer is C.) 24 square units

Step-by-step explanation:

(base x height)/2 → (6 x 4)/2 = 12

12 x 2 = 24

Step-by-step explanation:

1.   To find the mean absolute deviation of the data, start by finding the mean of the data set.

2.    Find the sum of the data values, and divide the sum by the number of data values.

3.   Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4.   Find the sum of the absolute values of the differences.

5.   Divide the sum of the absolute values of the differences by the number of data values.

Answer:

Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.

Which did you include in your explanation? Check all that apply.

Find the mean of the set of data.

Find the absolute deviations for each point.

Absolute deviation is a data point’s distance from the data set’s mean.

Find the mean of the absolute deviations.

Answer:

The center of the circle is at: C=(−5,4).

The radius of the circle is r=3.

Step-by-step explanation:

The equation of the circle is (x + 5)² + (y − 4)² = 3². Then the center of the circle is at (−5, 4) and the radius of the circle is 3 units.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as (x + 5)² + (y − 4)² = 9.

The equation can be written as

(x + 5)² + (y − 4)² = 3²

Then the center of the circle is at (−5, 4) and the radius of the circle is 3 units.

More about the circle link is given below.

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Answer:

12/25 of the entire container.

Step-by-step explanation:

To solve this, multiply 3/4 by 4/5. 3/4 * 4/5 = 12/25. Therefore, her brother drank 12/25 of the whole container.

Answer:

83€  is the constant.

Answer:

x=250

Step-by-step explanation:

150= 3/5 x

50 = 1/5 x

x=50×5

x=250

Final answer:

To solve the equation 150 = 3/5 x for x, divide both sides by 3/5, which is equivalent to multiplying by its reciprocal (5/3), resulting in x being equal to 250.

Explanation:

To find the value of x in the equation 150 = 3/5 x, you first divide both sides of the equation by 3/5 to isolate x. This can be done by flipping the fraction and multiplying, as the division by a fraction is the same as multiplication by its reciprocal.

The process is as follows:

150 = (3/5) x

150 * (5/3) = x

50 * 5 = x

250 = x

Therefore, the value of x is 250.

Answer:

b

Step-by-step explanation:

i had this on usa test prep

Answer:

225

Step-by-step explanation:

bc 15 times 15 is 225 and thats how you find out how many combos ya square it

Final answer:

The number of ways 15 students can arrange themselves in 15 seats is calculated using permutations and is equal to 15 factorial (15!).

Explanation:

The question involves finding the number of different ways to arrange 15 students in 15 seats, which is a combinatorial problem in mathematics. This problem can be solved by using the concept of permutations. Indeed, if we have 15 distinct objects (students) and we want to arrange them in 15 distinct positions (seats), we need to calculate the number of permutations of 15 items taken 15 at a time.

The formula for the number of permutations of n objects taken r at a time is P(n, r) = n! / (n-r)!, where ! denotes the factorial of a number. For this case, since we are permuting all 15 students (n = 15), the number of ways they can arrange themselves in 15 seats is simply 15! (15 factorial).

Answer:

Segment DE is parallel to segment BC.

Step-by-step explanation:

Use the side splitter theorem.

Answer: Segment DE is parallel to segment BC.

Answer:

-3 and 3

Step-by-step explanation:

when -3 and and 3 are added it sums up to 0. For example, any number that's positive (ex. 5) and the same number with the opposite sign (ex. -5) are added it will always be 0.

Answer:

$25

Step-by-step explanation:

Since it was originally $100, 80% off would mean he would only have to pay $20 for it. But sales tax, you would have to add 10% back of the sale price which was $20. so, 10% of 20 is $5. The sale price, $20, plus the $5 is 25 dollars he had to pay.

After waiting for a 80% off discount, Sam purchased the dresser for $20. Including a 10% sales tax, he paid a total of $22.

In this problem, we first need to figure out what 80% off of the original $100 price is. This can be done by converting the 80% discount to a decimal (0.8) and then multiplying it by the original cost ($100). This gives us $80.

However, since this is the amount discounted, we subtract it from the original price to get the sale price of the chest of drawers, so $100 - $80 = $20. This is how much Sam paid before sales tax.

Next, we need to calculate the sales tax amount. We first convert the 10% sales tax to a decimal (0.10), and then we multiply it by the sale price ($20). This gives us $2 in sales tax.

Finally, we add the sales tax to the sale price to get the total amount Sam paid for the chest of drawers: $20 + $2 = $22. So, Sam paid a total of $22 for the chest of drawers.

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Answer:

3 × 3 × 1.5

Step-by-step explanation:

Volume = base area × height

13.5 = s² × ½s

½s³ = 13.5

s³ = 27

s = 3

½s = 1.5

Dimensions:

3 × 3 × 1.5