What is the probability that a data value in a normal distribution is between a
z-score of -1.98 and a z-score of 1.11? Round your answer to the nearest
tenth of a percent.
A. 65.0%
B. 55.3%
C. 46.2%
D. 84.3%

Answer:

Step-by-step explanation:

sin Ф equal the opposite leg of the triangle dividend by the hypotenuse

sin Ф = opp / hyp

the problem gave you the Ф (the angle 7°)

and the length of the hypotenuse (the walking surface 60 inches)  

You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface

sin 7 = opp / 60          solve for opp

60 × sin(7) = opp             use your calculator,   I don't have one handy

Answer:

the answer should be false..

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I will solve using the following assumptions.

Job A:

[tex]y = 2x + 5[/tex]

Job B

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]

The first step is to calculate the rate of Job B using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,10)[/tex]

So, we have:

[tex]m = \frac{10 - 6}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m = 4[/tex]

So, the hourly rate of job B is $4/hr

For Job A:

[tex]y = 2x + 5[/tex]

A linear equation has the form:

[tex]y = mx + b[/tex]

Where m is the rate

By comparison:

[tex]m = 2[/tex]

So, the hourly rate of Job A is $2/hr

Comparing both rates, we can draw the following conclusions;

Answer:

Yes

Step-by-step explanation:

Answer:

Sum: 0.78619≈0.786

Step-by-step explanation:

n=4

r=1, 2, 3, 4

r=1,2,3,4

"At least" counts up.

p=32\%=0.32

p=32%=0.32

q=1-0.32=0.68

q=1−0.32=0.68

The chance a success does NOT occur.

_{n}C_{r}p^rq^{n-r}

The probability that at most one of their six children will have that trait is 0.68

From the question, the given parameters are

Number of children, n = 6

Probability of a child with the trait, p = 37%

The required probability that at most one will have that trait is represented as P(x ≤ 1)

This probability is calculated ;

P(x ≤ 1) = P(0) + P(1)

Where

P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ

So, we have

P(x ≤ 1) = ⁷C₀ (37%)⁰  (1 - 37%)⁷⁻⁰ + ⁷C₁  (37%)¹  (1 - 37%)⁷⁻¹

Evaluate;

P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶

So, we have;

P(x ≤ 1) = 1-0.32= 0.68

Hence, the probability is 0.68

Read more about probability at

brainly.com/question/251701

#SPJ2

Answer:

D and e

Step-by-step explanation:

Answer:

C would be your answer

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Let x be the percentage for sports club members.

x% of 20 = 15

x/100 x 20 = 15

x/5 = 15

x = 75

Answer:

8(3j-2) and 4(6j−4)

there you go!!

Answer:

The answer is ( X , - 2x + 5)

if you click the image it will show you how to solve the equation. I hope this helps you :)

Answer:

The multiplication of 5(6) and 5(3) will each be done before you add.

5(6) + 5(3) = 30 + 15 = 45. Note that the answer is the same as before.

Step-by-step explanation:

hope this helps...

have a nice weekend ヽ(ヅ)ノ

oh and if i was supposed to follow something sorry cuz i can't see the pic...

Answer:

Step-by-step explanation:

90

Based on the information, the value of the piano after 16 years is $140.74.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Using this formula to find the value of the piano, v, after t years.

CP = Principal(1-rate)[tex]^t[/tex]

Where:

Principal=$5,000

Rate=20%

Number of year = 16 years

Let plug in the formula;

=5,000(1-0.20)^16

=5,000(.80)^16

=$140.737

= $140.74 (Approximately)

Hence, the value of the piano after 16 years is; $140.74.

Learn more about interest here;

https://brainly.com/question/1548909

#SPJ2

Answer:

5, 8, 11

Step-by-step explanation:

3(2) - 1 = 5

3(3) - 1 = 8

3(4) - 1 = 11

Answer:

27,81

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

6³ because 2³ and 3³ can be multiplied because they are to the same power, and keep the same power. Also, 6³ is 216.

Hope this helps!

Answer:

7/8 step by step

Step-by-step explanation:

9/26 +5/16 = 14/16

simplify

7/8

Answer:

y = 1500(1.079)^t

Step-by-step explanation:

Here, we want to write an exponential function

Mathematically, we have this generally as;

FV = IV( 1 + r)^t

where FV is future value which is y in this case

IV is the initial value which is 1,500 kn^2 in this case

r is the rate of change which is 7.9%

7.9/100 = 0.079

t is the time difference

so we have the equation as;

y = 1500(1 + 0.079)^t

y = 1500(1.079)^t

Answer:

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Since it's a right angle, it's automadically 90 degrees. Add 29 + 13 which gives you 42. 90 - 42 gives you 48. Rounded to the nearest 10th is 50. Here's what I explained in numerical form:

29 + 13 = 42

90 - 42 = 48

Five or more raise the score. For or less turn to zero:

48

8 is larger than 5 so you add "plus 1" to the next number:

50

Answer:

Y: 145

X: 35

Hope I was able to help you, have a wonderful day!

Answer:

[tex]30^{\circ}\text{C}[/tex]

Step-by-step explanation:

The temperature that Aaron saw was [tex]86^{\circ}\text{F}[/tex]

The formula to convert Fahrenheit to Celsius is

[tex]C=\dfrac{5]{9}(F-32)[/tex]

[tex]\Rightarrow C=\dfrac{5}{9}\times (86-32)[/tex]

[tex]\Rightarrow C=30^{\circ}\text{C}[/tex]

The given temperature in Celsius that Aaron found would be [tex]30^{\circ}\text{C}[/tex].

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

I think the inequality is less than or equal to (here what the sign looks like ≤ )

Answer:

11

Step-by-step explanation:

The height is 11 inches.

Answer:

5/6= 10/12

12/100<10/12

Answer:

530.66

Step-by-step explanation:

The computation of the area of the cross section is shown below

Given that

Volume = 9208 m^3

Now let us assume the radius be r

So volume = 4 ÷ 3 πr^3

9202.8 × 3 ÷ 4π = r^3

27,608.4 ÷ 4 × 3.14 = r^3

27,608.4 ÷ 12.56 = r^3

2,198.12 = r^3

r = 13

Now the area of the cross section is

= πr^2

= 3.14 × (13)^2

= 530.66

Answer:

i think x=8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(-1)^2 = 1

(-1)^3 = -1

(-1)^5 = -1

(1) (-1) (-1) = 1