Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle’s score to z-score

Answer:

D

Step-by-step explanation:

like it said, he used 5 instead of the actual height which is 4

Answer:

D

Step-by-step explanation:

The area of a parallelogram is denoted by: [tex]A=bh[/tex] , where b is the base and h is the height that is perpendicular to the base. Depending on what kind of parallelogram it is (square, rectangle, rhombus, regular parallelogram), that height could be the side length, but usually it is not; it is only the side length in special cases, like a square.

Here, we are given that the base is 11 and that the height is 4. Since the problem gives us two different values for the height versus the side length, we know that for this parallelogram, the height is not the same as the side length. Thus, we must use 4 for the height and 11 for the base in the area formula.

Therefore, the only answer that correctly points out this mistake is D.

Hope this helps!

Answer:

[tex]34.5^2[/tex]

Step-by-step explanation:

First figure out the rectangular part 3 x 8 = 24

Next find out the triangular part. Since we know that one half of the triangular part is 3 by 4, and a triangle is half a rectangle, we can figure out that 3 x 4 = 12 and 12/2 = 6, and do the same for the 3 x 3 triangle 3 x 3 =9 and 9/2 = 4.5

Now just add it all together: 24 + 6 + 4.5 = 34.5

Answer:

Step-by-step explanation:

hello :  

geometric sequence whel the common ratio is : 32/80=80/200 = 0.4

200 ,80,32,12.8 , 5.12 , 2.048 , 0.8192

the 7th term is : 0.8192

Answer:

147 mins

Step-by-step explanation:

7938/54

Answer:

147 minutes (2 hours, 27 minutes)

Step-by-step explanation:

7938/54

Answer:

5.75

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Let the number be x

x² + 2x = 3

x² + 2x - 3 = 0

Product  = -3

Sum =2

Factors = 3 * (-1)

x² + 3x - x - 3 = 0

x*(x+3) - (x + 3) = 0

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

Ignore x + 3 because the number is a positive number

x - 1 = 0

x = 1

The number is 1

Answer:

Answer 3

Step-by-step explanation:

smog is fog or haze combined with smoke and other air pollutants

smog is formed when sunlight hits these air pollutants

Answer:

40 chairs

there are 6 red chairs

18 yellow chairs

and 16 blue chairs

added together that is 40

Step-by-step explanation:

Answer:

$1.16

Step-by-step explanation:

Given:

The base of the triangle = 6 ft

The height of the triangle = 5 ft

The other two side of the triangle = 5.5 ft and 5.5 ft

The height of the prism = 9 ft

To find the measurement of the fabric to make the tent.

We need to find the surface area of the triangular prism.

Formula

The surface area of the triangular prism is

[tex]SA = bh+(a+b+c)H[/tex]

where, b be the base of the triangle

h be the height of the triangle

a and c be other two sides of the triangle

H be the height of the prism

Now,

Putting,

b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,

[tex]SA = (5)(6)+(6+5.5+5.5)(9)[/tex] sq ft

or, [tex]SA = 30+153[/tex] sq ft

or, [tex]SA = 183[/tex] sq ft

Hence,

Based on the given dimension 183 sq ft fabric is needed to make the tent.

Answer:

Step-by-step explanation:

Semicircle:

diameter  = length of the rectangle = 25 cm

Half circumference = πd/2

= 3.14 * 25/2 = 39.25 cm

Perimeter of the figure = 39.25 + 20 + 25 + 20

= 104.25 cm

Answer:

104.25 cm

Step-by-step explanation:

Perimeter = three sides + arc

Arc length: ½ × pi × diameter

½ × 3.14 × 25

39.25

Perimeter

39.25 + 20 + 25 + 20

104.25

Answer:

11

Step-by-step explanation:

7x + 2 + 4x = 90

11x + 2 = 90

11x = 88

x = 11

Answer:

9m/12m = 3/4

Step-by-step explanation:

The fraction obtained after the simplification will be 3/4.

Simplifying is making something easier to do or comprehend, as well as making something less difficult.

[tex]=\rm \frac{9m}{12m} \\\\ = \frac{3}{4}[/tex]

The fraction obtained after the simplification will be 3/4.

To learn more about the simplification, refer:

https://brainly.com/question/23509407

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Answer:

125.6 cm²

Step-by-step explanation:

Area of circle = πr²

Area of shaded region = Area of outer circle - area of the inner circle

= 3.14*7*7 - [3.14*3*3]

= 153.86 - 28.26

= 125.6 cm²

OR

= 3.14 * 7 * 7 - [3.14*3.*3]

= 3.14* [7² - 3²]

= 3.14* (7+3)(7-3)  

= 3.14* 10 * 4

= 125.6 cm²

Answer:

- 515

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 15 and d = - 35 - (- 15) = - 35 + 15 = - 20, thus

[tex]a_{26}[/tex] = - 15 + (25 × - 20) = - 15 - 500 = - 515

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.After substituting these values to above formula, we obtain: All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

Answer:

(A) [tex]sin C =\frac{4}{5}[/tex]

Step-by-step explanation:

Opposite,AB = 4,

Hypotenuse,BC = 5

Adjacent, AC = 3.

[tex]sin \theta =\frac{opposite}{Hypotenuse}\\ sin C =\frac{4}{5}[/tex]

The value of sin C, sin B, cos C, and tan B will be 4/5, 3/5, 3/5, and 3/4.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Right triangle ABC is shown. Side AB has a length of 4, side BC has a length of 5, and side AC has a length of 3.

Then the value of the sin C, sin B, cos C, and tan B will be

sin C = 4/5

sin B = 3/5

cos C = 3/5

tan B = 3/4

The diagram is given below.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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An algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +, +, +, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9.

In order to determine a solution for the given polynomial, we would factor it by using this quadratic form:

a² - b² = (a + b)(a - b)

4x² - 9 = 2x² - 3²

2x² - 3² = (2x + 3)(2x - 3)

Based on the calculations above, an algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +x, +x, +x, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9 as shown in the image attached below.

Read more on polynomials here: https://brainly.com/question/19571593

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Answer:

B=119

Step-by-step explanation:

C=180-112=68

68+51=119

A=180-119=61

180-61=119

B=119

Answer:

∠ B = 119°

Step-by-step explanation:

∠ C and 112° are adjacent angles and supplementary, thus

∠ C = 180° - 112° = 68°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ B is an exterior angle of the triangle, thus

∠ B = 51° + ∠ C = 51° + 68° = 119°

Answer:

You could write -5.16 as -5 4/25

Answer:

-5.16 = -129 /25  OR -5 and  4 /25

Step-by-step explanation:

Step 1: Write down the decimal divided by 1, like this: decimal 1. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) Step 3: Simplify (or reduce) the fraction.

Answer:

20 quarts

Step-by-step explanation:

there is 4 quarts in one gallon therefore there is 5 times one gallon.

5*4=20  

Answer:

20 quarts

because there are 4 quarts in one gallon

hope this helps :)

Answer:

Angle 1 = 115

Angle 2 = 15

Angle 3 = 50

Answer:

yes

Step-by-step explanation:

-8x -2y < 6

Substitute the point in for x and y

-8(3) - 2(2) <6

-24 - 4 <6

-28 <6

This is true  so the point is a solution

Answer:

Madeline: y=1x+9

Issac: y=2x+1

x=8, y=17

Step-by-step explanation:

Solving for X:

Multiply Issac's by -1:

y= 1x+ 9

-y=-2x-1

Combine:

0=-x+8

Add x to both sides:

x=8

Solving for Y:

Since we already have x, we only need to input the x value into one of the formulas:

y=1(8)+9

Simplify parenthesis with multiplication:

y=8+9

Add:

y=17

If you feel unsure, check your work with both equations:

(17)=2(8)+1

17=16+1

17=17=Good

(17)=1(8)+9

17=8+9

17=17=Good

Please give a brainliest and a thx ;)

I hope this helps u :)

Square Pyramid

Hence , the surface area of the square pyramid is 340 square feet

Step-by-step explanation:

The square pyramid has a square base

Given that the base side is 10 ft and the slant height of the pyramid is 12 ft.

The surface area of a square pyramid is SA, then

SA = Area of the base + [tex]\frac{1}{2}[/tex] × P × Sh

where P is the perimeter of the base and Sh is the slant height of the pyramid

P = 4 × 10

SA = [tex]10^{2} + \frac{1}{2}[/tex]× 40 × 12

SA = 100 + 240

SA= 340 square feet

Hence , the surface area of the square pyramid is 340 square feet

Answer:

$0.05

Step-by-step explanation:

Final answer:

The correct statement is B, which describes the weight loss range for the middle 50 percent of the members, indicating an interquartile range scenario.

Explanation:

The question you've asked seems to pertain to data interpretation and understanding statistical statements regarding weight loss in a specific group of members. This seems to be a statistical analysis question which falls under the subject of Mathematics. Specifically, this question is likely related to the topics of median, quartiles, and potentially, data distribution covered in high school level mathematics.

Based on the provided statements, the correct assertion appears to be B. The middle 50 percent of the members lost from two to 8.5 lbs. This statement indicates that the middle 50 percent is referring to the interquartile range in statistical terminology, which is a measure of statistical dispersion being the difference between the 75th and 25th percentiles. Choices A and C don't provide enough information to confirm their accuracy without additional context, and choice D cannot be correct without both A and C being correct.

Answer:

5) 27/70

6) 90

Step-by-step explanation:

5) The first step in this problem is to figure out the amount of total spins. To do so, add up all of the numbers in the column "Frequency".

18 + 15 + 27 + 10 = 70.

Now, look at the amount of times the spinner landed on green. This is 27 times. So, the ratio of green spins to total spins is 27:70, or 27 out of 70 spins. Converting this to a fraction, we get the final answer, 27/70.

6) To solve this problem, we have to first do the same steps as the previous problem, but with the color red. There are 70 total spins, and 18 red spins. Therefore, the ratio is 18:70. However, this problem wants the total number of spins to be 350. In other words, 70 needs to become 350. To do this, multiply each side of the ratio by 5. The ratio becomes 90:350. Using this ratio, we can determine that a solid prediction is 90 red spins out of 350 total spins.

Answer:

5) 27/70

6) 90

Step-by-step explanation:

5)

What is the probability of spinning green?

Here are all of the values in the table:

Red = 18

Yellow = 15

Green = 27

Purple = 10

Add them together

= 70

Write green / total as a fraction

27/70

6)

Red = 18

Yellow = 15

Green = 27

Purple = 10

Write red / total (70) as a fraction

18/70

Multiply both the numerator and denominator by 5 to get a denominator of 350

18 * 5 / 70 * 5

90/350

Remove the denominator to find how many times he chose red out of 350 trials

90

Hope this helps :)

Answer:

yes.

Step-by-step explanation:

because -8 absolute value is 8

Answer:

yes beacuse -8 have a greater absolute value than 6