A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
(answer with 3 decimal places)

Answers

Answer 1
The square =9+7/5 or
Answer 2

Answer:

It is -0.465 when you add it to the nearest thousandth

Step-by-step explanation:


Related Questions

95 - 3/4 what is the value of the expression

Answers

Answer:377 /4  = 94 and 1 / 4  =94.25

Step-by-step explanation:

Subtract

95 − 3 /4

 = 377 / 4

Convert integer to fraction

95 = 95 / 1

Find common denominator

95 over 1

 

− 3 over 4

= ( 95 × 4 ) over ( 1 × 4 )

 − ( 3 × 1 ) over ( 4 × 1 )

= 380 over 4

 − 3 over 4

4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.

Subtract

380 over 4

− 3 / 4

 

= ( 380 − 3 ) / 4

= 377 /4

Simplify

377 / 4

= 94 and 1 /494

Reduce fraction to lowest terms

1 is the greatest common divisor of 377 and 4. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

377 /4

= 94 1 /4

377 ÷ 4 = 94 remainder 1

By writing the whole number as a fraction, we will see that the solution is 377/4

How to solve the expression?

Here we want to take the difference between a whole number and a fraction:

95 - 3/4

To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:

95 = (4/4)*95 = 380/4

Now we rewrite our expression as:

95 - 3/4 = 380/4 - 3/4 = 377/4

This is the solution of the expression.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Is 1/4 squared a rational?

Answers

Answer:

It is a rational.

Step-by-step explanation:

0.25² = 0.0625

It is a rational.

Work out
(8×10^-2)−(4×10^-4)
Give your answer in standard form.

Answers

Answer:

7.96 x 10^2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].

[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].

[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].

[tex]= \frac{80 - 4}{10000}[/tex].

[tex]= \frac{76}{10000}[/tex].

[tex]= \frac{38}{5000}[/tex].

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Answers

Answer:

x=48

Step-by-step explanation:

Exam
The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.

Answers

Answer:

4212 square feet.

Step-by-step explanation:

If the blueprint's scale is 1 inch : 9 feet.

Square both sides

(1in)² = (9ft)²

1in² = 81ft²

Given the  gym's  area as 52 square inches, hence;

52in² = x

Divide both expressions

1/52 = 81/x

x = 52 * 81

x = 4212ft²

Hence the area of the actual gym  is 4212 square feet.

Please a correct answer gets brain thing that I forgot it name please help

Answers

Answer:

;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN

Step-by-step explanation:

Please help me with this. And my teacher said to show your work so what do I have to do and she said on paper please help thank you!

Answers

Answer:

Step-by-step explanation:

V=H x W x  L  so 11.25= H (1.5) (2);  3H=11.25 so the height of one box is 3.75’

To find the volume of 5 stacked boxes multiply the volume of one box by 5.

5(3.75 x 1.5 x 2) which is 20.25 cubic feet.

hello please help i’ll give brainliest

Answers

Answer:

Option B) His teachings became government philosophy.

The option is (B). His teaching became gov

A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?

Answers

$9.86

explanation:
100-32=68
14.5(.68)

What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%

Answers

This gives no information, how many of each were sold

Answer:

im going to say c 55%

Step-by-step explanation: please let me know if its wrong so i can fix it thanks

Question 5 (1 point)
Calculate the area of this composite shape. Use the ti key on the calculator. Round answer
to tenths.
10 yd
12 yd
13 yd
13 yd
Area =
yd2

Answers

i think its 1,560 because you have to multiple the top which is 10 to the bottom but the bottom one is not the same shape as the top and for the middle you multiple 12 because their the same shape and for the bottom their the same shape as well.

X+2y=0
12y= -6x

Plzzz this is due 11:59

Answers

Answer:1. X+2y=0 answer:−2y     2. 12y= -6x answer:x=−2y

Step-by-step explanation:

Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3

Answers

Answer:

no

Step-by-step explanation:

n ≥ - 1

The inequality states that n is greater than or equal to - 1

To show the equal part on the number line the point at - 1 must be a solid circle, not an open one

No, the given number line does not represent the number line shown by Charles.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

The inequality is given by Charles,
n ≥ -1

But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.

Thus, the given number line does not represent the number line shown by Charles.

Learn more about number line here:

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Which one is an example of an expression?

Answers

Answer:

Step-by-step explanation:

5x+5

Answer:

the first option will the correct answer

This recipe makes 20 cupcakes. Deepak only wants to make 15 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 10 ounces butter 12 ounces sugar 8 ounces flour 4 eggs

Answers

Answer:

9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs

Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.

12 * 4/5 = 9.6 ounces

10 * 4/5 = 8 ounces

15 * 4/5 =  12 ounces

5 * 4/5 = 4 eggs

х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20

Answers

Answer:C 3/5

Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math

The radius of a circle is 7 inches. What is the circle's area?
r=7 in
Use 3.14 for .
square inches

Answers

Answer:

153.86

Step-by-step explanation:

3.14 x (7x7) = 153.86

An investment of $100 is now valued at $149.18 the interest rate is 8% compounded continuously about how long has the money been invested

Answers

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove

Answers

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

May I have help to figure out how to do this? It is confusing! :(

Answers

Answer:

it should be 80%

Step-by-step explanation:

I hope this helps

The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit

Answers

Answer:

452.16 ft²

Step-by-step explanation:

Area = πr² = π(12)² = 144π = 452.16 ft²

Solve for the value of a in the triangle below. Round your answer to the nearest tenth

Answers

Answer:

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

Please help it’s geometry will mark brainliest!

Answers

Answer:

its 216

Step-by-step explanation:

when it's one the edge the arc is double the angle

Please help me with full calculations

Answers

Answer:

use formula,

P(x,y)=P'(-y,x)

so.

R(-2,-2)=R'=(2,-2)

S(1,1)=S'(-1,1)

T(-1,-3)=T'(3,-1)

Step-by-step explanation:

plot R,S,T and R',S',T' in the graph

What is the total area of the figure below?​

Answers

so: to calculate the area of a triangle is equal to (bxh)/2 and for the trapezoid is ((a+b)/2)xh
so for the triangle part we need to substitute each part for the formula (6x8)/2 which is equal to= 24inch^2. While for the trapezoid substituted would end up like this: ((16+10)/2)(9) which equals to 117 inch^2
yo get the total area we need to add both of them and it would end up being 117inch^2 + 24inch^= 141 inch^2

The dollar value of a car is a function, f, of the number of years, t, since the car was purchased. The function is defined by the equation f(t)=12,000(3/4)^t.
A. How much was the car worth when it was purchased? Explain how you know.
B. What is f(2)? What does this tell you about the car?
C. About when was the car worth $6,000? Explain how you know.

Answers

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years

Please answer this math question for me

Answers

Answer:

Hello!! answer: a = 45

Step-by-step explanation:

This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!

Answer:

a = 45

Step-by-step explanation:

The total angle of the shape is 90°

That means you should subtract 90° from 45°

90 - 45 = 45

That's your answer!

Hope this helped :)

A cooking school is teaching students how to make pasta noodles. The line plot displays how much flour each student used. How many total cups of flour did the students use to make the pasta?

Answers

Answer:

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

Total number of cups used

The number of dot on each dataset represent the number of student

So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item

So, we have:

[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]

[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]

Solve

[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]

[tex]Total = \frac{89}{8}[/tex]

[tex]Total = 11\frac{1}{8}\ cups[/tex]

help me plzz please please please​

Answers

Answer:

Q1: 18 degrees

Q2: 60 sides

Step-by-step explanation:

The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.

360/20  --> 18 degrees.

Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.

(n-2) * 180 degrees) / n = Angle Given

(n-2) * 180 degrees) / n = 174

180n -360 / n = 174

180n -360 / 174n

360 = 6n

n = 60

It would be 60 sides.

The answer is 18. 360 divided by 20 will give you 18 hence the 360 is the sum of all exterior angles

i need help plz :( i don’t understand

Answers

The period stretches from 0 to pi so the answer should be pi
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