In NOP, the measure of ZP=90°, the measure of ZN=7°, and NO = 3.4 feet.
Find the length of OP to the nearest tenth of a foot.

Answer:

Step-by-step explanation:

Answer:

There are 4 scores in the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}[/tex]

We want to find n. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}[/tex]

[tex]-4\sqrt{n} = -8[/tex]

[tex]4\sqrt{n} = 8[/tex]

Simplifying by 4

[tex]\sqrt{n} = 2[/tex]

[tex](\sqrt{n})^2 = 2^2[/tex]

[tex]n = 4[/tex]

There are 4 scores in the sample.

So if Joel raced 3 laps , and the total distance is less then 3 miles then it has to be Track C.

Answer:

4896 sq units

Step-by-step explanation:

A = lw

multiply 48 to 102

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the plots and graphs.

Since, the x axis varies from -infinite to +infinite,

here, the y totally varies from -5 to +5,

hence, the option B.) is correct.

===>

[tex] - 5 \leqslant y \leqslant 5[/tex]

Answer:

I understand your pain

Step-by-step explanation: sadge

Answer:

P(A) = 0.1620 , P(A|B) = 0.0707

Step-by-step explanation:

Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20

P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620  

P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576

P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)

(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707

17.5 = x

Step-by-step explanation:

1st you add 85 and 55 since those to angles are congruent (means similar) to 8x

2nd you get 140 after adding then

3rd since the angles are congruent you just divide the 140 by 8 to get the value of x

Answer:

268

Step-by-step explanation:

2×(10×8 + 10×3 + 8×3) = 268 yards

Answer:

[tex]268yd^2[/tex]

Step-by-step explanation:

The Surface Area formula for a rectangular prism is:

[tex]2(wl+hl+hw)[/tex]

where w is the width, h is the height, and l is the length.

Plug each value into the formula and solve:

[tex]2(8*10+3*10+3*8)=268yd^2[/tex]

If this helped, a brainliest answer would be greatly appreciated!

Answer:

B

Step-by-step explanation:

how many 1/2's in 4? thats how many bows so 4 ÷ 1/2

Answer:

it's b.

debbie can make 8 bowls

Answer:

(3x+1)(x+9)

Step-by-step explanation:

Answer:

(3x+1)(x+9) is the answer

Answer:

Rock layers only (I think this is correct from the searches I've made)

Answer:

What is the range of f(x) = (three-fourths) Superscript x – 4?

* {y | y > –4}

** Left-brace y vertical line y greater-than three-fourths right-brace

*** {y | y < –4} <<<correct

**** Left-brace y vertical line y less-than three-fourths right-brace

Step-by-step explanation:

Edge 2021

Answer:

A circle of radius = 12 or diameter = 24 or circumference = 75.4 cm has an area of: 4.524 × 10-8 square kilometers (km²)

The area of the circular region will be 113 square centimeters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The formula to calculate the area of the circle is given by:-

A = πr²

Given that the diameter of the circular region is 12 centimeters. The radius will be half of the diameter.

r = d / 2

r = 12 / 2 = 6

The area of the region will be calculated as below:-

A = πr²

A = π x ( 6 ) x ( 6 )

A = 113.09 square centimeters

Therefore, the area of the circular region will be 113 square centimeters.

To know more about an area follow

https://brainly.com/question/24375372

#SPJ2

Answer:

∠A is equal to 73°

Step-by-step explanation:

Because the two lines that move roughly bottom/left to top/right are marked as being parallel, we can say that ∠A + ∠B = 180°

With that we can take the two equations at the top, and add them together for a sum of 180°:

6x - 35° + 3x + 53° = 180°

9x + 18° = 180°

x + 2° = 20°

x = 18°

Now that we have x, we can solve for ∠A:

∠A = 6x - 35°

∠A = 6(18°) - 35°

∠A = 108° - 35°

∠A = 73°

We can test our answer by solving for ∠B.  We know that ∠A and ∠B add up to 180°, so ∠B = 180° - ∠A = (180 - 73)° = 107°.  Now let's solve for be given x and the original equation, and see if we have the right numbers:

∠B = 3x + 53°

∠B = 3(18°) + 53°

∠B = 54° + 53°

∠B = 107°

Which matches up, showing us that we have the correct answer.

Answer:

-3

Step-by-step explanation:

-11(-3)+7=40

33+7=40

Answer: 1.25 minutes per lap

Step-by-step explanation:

Her total time divided by total laps is 15 divided by 12, which is 1.25

Answer:

Kenith runs 0.8 laps a minute

Step-by-step explanation:

Answer:

all of them

Step-by-step explanation:

I'm pretty surep

Answer:

1 and -0.6

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

3/5 = 6/10 = 9/10 = 9/10

I'm not 100% sure of this answer someone please correct me if I'm incorrect.

Answer:

[tex]16\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle shown is a 45-45-90. We can use this picture attached to figure out BC.

n in this case is 16ft

Based on the picture, we can get BC's length, which is n[tex]\sqrt{2}[/tex]

BC = [tex]16\sqrt{2}[/tex]

Answer:

B

Step-by-step explanation:

1/5x +20 = 25

1/5x = 5

x = 25

Answer:

B

Step-by-step explanation:

A) 2(x-25)=25  x=25  2(25-25)=25 2(0)=25 No

B 1/5x+20=25  x=25  1/5*25=5  5+20=25 Yes

B is the answer! I hope this helped ^^

The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

Suppose we want to choose 5 objects, without replacement, from 9 distinct objects.

Then the number of ways that this can be done, if the order of the choices is not taken into consideration will be given as,

⁹C₅ = 9! / [(9 - 5)! x 5!]

⁹C₅ = (9 x 8 x 7 x 6 x 5!) / (4 x 3 x 2 x 1 x 5!)

⁹C₅ = 126

Then the number of ways this can be done, if the order of the choices is taken into consideration will be given as,

⁹P₅ = 9! / [(9 - 5)!

⁹P₅ = (9 x 8 x 7 x 6 x 5 x 4!) / 4!

⁹P₅ = 15,120

The number of ways if the order of the choices is not taken into consideration and taken into consideration will be 126 and 15,120, respectively.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

Answer:

.

Step-by-step explanation:

Answer:

I don't understand the question

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c

Answer:

1/3

Step-by-step explanation:

Answer: 1245 :)

Step-by-step explanation:

Answer:

la respuesta es 1245

567+678=1245

Answer:

x=35 y=72.5

Step-by-step explanation:

x is equal to 35 because they are vertical angles. y is equal to 72.5 because if you use the equation y + y + 35 = 180 and subtract 35 then divide 145 by 2, you would get 72.5