The quiz grade of a math class are given. 81,75,68,97,69,81,89,74,75,82,91,90 the grades are normally distributed with a mean of 81 and a standard deviation of 9.2. What is the z score of the lowest grade in the quiz ? Round the answer to the nearest hundredth.

answer: -28x^5

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Answer:

Answer

Step-by-step explanation:

0.75x -5 = 0.583333333333...

Answer:

x = 7.4444

Step-by-step explanation:

3/4 x - 5 = 7/12

3x/4  - 5 = 7/12

3x/4 = 7/12 + 5

3x/4 = 7/12 + 60/12

3x/4 = 67/12

3x = 4*67/12

3x = 268/12

3x = 22.3333

x = 22.3333/3

x = 7.4444

Check:

3*7.4444/4 - 5 = 7/12

5.58333 - 5 = 0.58333

Answer:

35.4 ft

Step-by-step explanation:

To solve this problem, we need to represent the statement in the question in a diagram.

Please see attached photo.

In the attached photo, x is the height of the building.

Thus, we can calculate the value of x as shown below:

Angle θ = 73°

Opposite = x

Hypothenus = 37 ft

Using the Sine ratio, the value of x can be obtained as follow:

Sine θ = Opposite /Hypothenus

Sine 73 = x /37

Cross multiply

x = 37 × Sine 73

x = 35.4 ft

Therefore, the ladder reached up to 35.4 ft of building.

Answer:

m = -1

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

-13 = 5(1 + 4m) - 2m

Step 2: Parenthesis (distribute)

-13 = 5 + 20m - 2m

Step 3: Combine like terms (m)

-13 = 5 + 18m

Step 4: Subtract 5 on both sides

-18 = 18m

Step 5: Divide both sides by 18

-1 = m

Step 6: Rewrite

m = -1

Answer:

m = -1

Step-by-step explanation:

-13 = 5(1 + 4m) - 2m

Step 1 : Distributive Property

-13 = 5 + 20m - 2m

Add like terms

-13 = 5 + 18m

Subtract 5 on both sides

-18 = 18m

Divide

[tex]\frac{-18}{18}[/tex] = [tex]\frac{18m}{18}[/tex]

m = -1

We need to find an equation that's in the form of: y = kx

k = constant of proportionality

Since it has to equal 9, this will be the value of k (y = 9x).

The correct answer is B.

Best of Luck!

Answer:    49°, 49°, 82°

Step-by-step explanation:

Let x represent the base angles

then 2x - 16 is the vertex angle.

Triangle Sum Theorem states that the sum of the angles is 180°

(x) + (x) + (2x - 16) = 180

                 4x - 16 = 180

                       4x = 196

                         x = 49

Base angles: x = 49

Vertex angle: 2(49) - 16 = 82

Answer:

The price would be $29.7072

Step-by-step explanation:

Since the original price in euros is 24, you need to multiply $ 1.2378 by 24.

1.2378 × 24 = $29.7072

The new price would be $29.7072.

Hope this helps!

Answer:

a.) $29,750.00   simple interest

b.) $75,266.35  Compounded annually

c.) $79,358.65 compunded  quarterly

d.) $80,332.11 compounded monthly

Step-by-step explanation:

a.) Formula: I = p x r x t

Where:

P is the principal amount, $17000.00.

r is the interest rate, 7% per year, or in decimal form, 7/100=0.07.

t is the time involved, 25....year(s) time periods.

So, t is 25....year time periods.

To find the simple interest, we multiply 17000 × 0.07 × 25 to get that:

The interest is: $29750.00

______________________________

b.) $75,266.35

c.) $79,358.65

d.) $80,332.11

Answer:

the answer is 15/4 divided by (-5/8)

Step-by-step explanation:

just did the assignment hope this helps. <3

The division problem using improper fractions can be written as (15 / 4) ÷ (- 5 / 8).

The division is the basic arithmetic operation, in which you are separating the number into some parts. In division, we distribute the total numbers.

Given:

3 and three-fourths divided by negative five-eighths Negative Start Fraction 5 over 8 End Fraction divided by Start Fraction 15 over 4 End Fraction,

The above statement can be written as

3 3/4 ÷ (- 5 / 8)

Solve the mixed fraction = 3 3/4 = 4 × 3 + 3 /4

3 3/4 = 15 / 4

Therefore, the division problem using improper fractions can be written as (15 / 4) ÷ (- 5 / 8).

To know more about division:

https://brainly.com/question/27566440

#SPJ6

Answer:

For City A, the expression for temperature change is 9 + (-8)

The amount the temperature changes for City A = 1°F

For City B, the expression for temperature change is -1 + (-3) = -4°F

The amount the temperature changes for City B = -4°F

Step-by-step explanation:

The given information are;

In City A, the temperature rise from 8 am to  9 am = 9°F

In City A, the temperature drop from 9 am to  10 am = 8°F

In City B, the temperature drop from 8 am to  9 am = 1°F

In City B, the temperature drop from 9 am to  10 am = 3°F

The expression for that represents the temperature change from 8 am to 10 am is therefore;

For City A

Temperature change from 8 am to 10 am are

8 am to  9 am = +9°F

9 am to  10 am = -8°F

Sum, change from 8 am to 10 am = 9 + (-8) = 1°F

For City B

Temperature change from 8 am to 10 am are

8 am to  9 am = -1°F

9 am to  10 am = -3°F

Sum, change from 8 am to 10 am = -1 + (-3) = -4°F

Answer:

[tex]f(\theta)=\cos(\theta)[/tex] is an even function.

Step-by-step explanation:

Recall when it means when a function is even or odd. An even function has the following property:

[tex]f(-x)=f(x)[/tex]

And an odd function has the following property:

[tex]f(-x)=-f(x)[/tex]

So, let's test some values for cos(x).

Let's use π/3:

[tex]f(\pi/3)=\cos(\pi/3)[/tex]

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).

Now, let's find -π/3. This is the same as 5π/3. Thus:

[tex]f(-\pi/3)=\cos(-\pi/3)[/tex]

And again from the unit circle, we can see that this is 1/2.

Therefore, despite the negative, the function outputs the same value.

Cosine is an even function.

Notes:

Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!

Answer:

[tex] \frac{15}{7} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

B. 78 meters

Step-by-step explanation:

2574 divided by 33 equal 78

hope this helps you :)

Answer:

3a-21b+8a+6b+23a-23b.

3a+8a+23a-21b+6b-23b.

34a-38b.

Answer:

34a-38b

Step-by-step explanation:

3a-21b+8a+6b+23a-23b

=34a-38b

Answer:

40x - 30 x²

Step-by-step explanation:

When x is multiplied by x it become x².

10x(4 - 3x)

10x times 4 = 40x

10x times -3x = -30x

40x - 30 x²

Answer:

Descends

Step-by-step explanation:

The word descend is what indicates that a negative integer should be used.

When we talk about height we should be regarding it in increments which makes its integers positive, that is something that increases. But the question says descends, descends means a reduction in height. which is a way of describing height in an opposite or negative direction.

decendsStep-by-step explanation:

Answer:

8 (3/4)

Step-by-step explanation:

convert everything into improper frantions

-3 1/2 = -7/2

-12 1/4 = -49/4

common denominators

-7/2 = -14/4

solve

-(14/4)-(-49/9)

two negative cancel out to make a positive

-(14/4)+(49/9)

35/4

35 divided by 4 = 8.75 = 8 3/4

Subtract to find the weight she gained since birth.

32 - 8 = 24

Divide to see how many years passed.

24 / 4 = 6

Therefore, Darrel's baby sister is 6 years old.

Best of Luck!

Answer:

-7

Step-by-step explanation:

2b+a

2(-5)+3

-10+3

-7

Answer:-7

Step-by-step explanation:

2b+a

2×-5=-10

-10+3=-7

Answer:

a and b

Step-by-step explanation:

Answer:

13.36

Step-by-step explanation:

18.60 - 5.24

=>13.36

Answer:

The number bigger is 0.31.

Step-by-step explanation:

Answer:

0.31 is greater than 0.03

Step-by-step explanation:

0.31 - 0.03 = 0.28

So, 0.31 is 0.28 greater than 0.03

Hope it helps :)

Answer:

28%

Step-by-step explanation:

do 28/28+72=28/100

then multiply 28/100 by 100 which equals 28%

Answer:

-256

Step-by-step explanation:

Given:

Find:

Formula:

Solve:

Answer: The value of h is -1.

Step-by-step explanation:

The function F(x) = ║x║ has been shifted 1 unit to the right. H in this case represents if the function has been shifted to the right or to the left. If the function is being shifted to the right then H is negative and if the function is shifted to the left, x is positive. In this case the value of h  is -1.

Answer:

The correct option is;

C) When f(g(x)) and g(f(x)) are equal for all values of x

Step-by-step explanation:

To have commutative property is to have the property to move around or change position, as such the commutative property is the property concerns the changing of the positioning of items

The commutative property for addition is a + b = b + a while the commutative property for multiplication is a×b = b×a

For functions , the commutative property can therefore, be expressed as follows;

Commutative property of f(x) and g(x) gives f(g(x)) = g(f(x)) for all values of x.

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 8a = -2

  a = -2/8 =-1/4

2. -11b = -6

    b = 6/11

3. -2c = 16

    c = -8

Answer:

13.2

Step-by-step explanation:

11/5=x/6

66/5=×

13.2