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x = 95°

The angles are vertically opposite so they are equal.

Answer:

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

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 z-score 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 p-value, 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.

Normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters.

This means that [tex]\mu = 118, \sigma = 8[/tex]

Sample of 16 shells

This means that [tex]n = 16, s = \frac{8}{\sqrt{16}} = 2[/tex]

What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?"

This is the pvalue of Z when X = 120 subtracted by the pvalue of Z when X = 116.

X = 120

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

By the Central Limit Theorem

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

[tex]Z = \frac{120 - 118}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.841

X = 116

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

[tex]Z = \frac{116 - 118}{2}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.159

0.841 - 0.159 = 0.682

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

Answer:

X = 90° , Y = 45°,  Z = 45°

Step-by-step explanation:

Divide total eggs by number of eggs per box:

594 / 6 = 99

They has 99 boxes of eggs.

Answer:

594÷6=99

Step-by-step explanation:

YOU DIVIDE THE SUM OF EGGS AND THE NUMBER OF BOX HOLDING

Answer:

The conclusion regarding the publisher's claim is that the 49% of their readers  own a personal computer.

Step-by-step explanation:

The null hypothesis is always opposite of the claim . If the null hypothesis is rejected it means the claim is accepted.

The alternate hypothesis ( claim) is

Ha: u = 0.49

The null hypothesis  is

H0 : u ≠ 0.49

The null hypothesis is rejected. The claim is accepted.

The claim ( alternate hypothesis ) was the newsletter publisher believe which is accepted.

The conclusion is drawn that the newsletter publisher was accurate that 49% of their readers  own a personal computer.

Answer:

(17-5)x

Step-by-step explanation:

the x next to the parenthesis means multiplication

Answer:

17 - 5s

Step-by-step explanation:

difference = minus sign

5 times = 5s

Answer:

Step-by-step explanation:

x% of 40 = 22

(x/100)×40 = 22

x = 22×100/40 = 55

22 is 55% of 40

:::::

35% of 60 = 0.35×60 = 21

Answer:

[tex]\huge\boxed{55\%}\\\boxed{21}[/tex]

Step-by-step explanation:

22 is what percent of 40?

[tex]\dfrac{22}{40\!\!\!\!\diagup}\cdot100\!\!\!\!\diagup\%=\dfrac{22\cdot10}{4}\%=\dfrac{11\cdot5}{1}\%=55\%[/tex]

[tex]p\%=\dfrac{p}{100}\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 60\to \dfrac{35}{100\!\!\!\!\diagup}\cdot60\!\!\!\!\diagup=\dfrac{35\cdot6}{10}=\dfrac{210}{10}=21[/tex]

Answer:

5

Step-by-step explanation:

2/6=x/15

cross multiply

6x=30

x=5

Answer:

4 sq. un

Step-by-step explanation:

Answer:

it's a yes

Step-by-step explanation:

X/6 ≤ 30

to find the value of X we have to move the numerical to the other side

in this case the number is 1/6

X * 1/6 ≤ 30

so to balance the both side and get rid of the number on the left side we multiple with 6.

1/6*6 = 1 on the left side

30*6 = 180 on the right side

so the full equation will be

X * 1/6 * 6 ≤ 30 * 6

X * 1 ≤ 180

X ≤ 180

Answer:

7/15

Step-by-step explanation:

Multiples of 3 = 3, 6, 9, 12, 15

Multiples of 5 = 5, 10, 15

3, 5, 6, 9, 10, 12, 15 = 7 numbers

Probability = 7/15

Hope that helps!

Answer:

7/15

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:

8 hours and 45 minutes

Step-by-step explanation:

-2100 divided by -240 = 8.75 or 8 hours and 45 minutes

Answer:

Leg CB = 11.59 unit (Approx.)

Step-by-step explanation:

Given:

ABC is a right triangle

Hypotenuse AB = 12

Acute angle A = 75°

Find:

Leg CB

Computation:

Using trigonometry function;

Sin θ = Perpendicular / Hypotenuse

Sin 75 = Perpendicular / 12

0.9659 = CB / 12

Leg CB = 11.59 unit (Approx.)

Answer:

Hello~

Llamalover here!

Skew lines are never parallel.

Skew lines are non-coplanar lines that do not intersect,

and parallel lines are coplanar lines that do intersect.

Step-by-step explanation:

I hope this helps!

Brainly?

In 3D geometry, diagonal lines are two lines that do not intersect and are not parallel. A simple example of a pair of diagonal lines is a pair of lines that pass through the opposite edge of a regular tetrahedron.

Some pairs of diagonal lines are also parallel. This is incorrect. By definition, diagonal lines are on different planes and parallel lines are on the same plane. The two lines can be diagonal or parallel (or both), but not both.

The position of the twist is two lines that do not intersect and are not parallel to each other. Diagonal lines can only exist in dimensions higher than 2D space. They do not have to be coplanar. That is, such lines are in different planes. In a two-dimensional space, two straight lines can intersect or run parallel to each other.

Learn more about skew lines here: https://brainly.com/question/2099645

#SPJ2

Answer:

The answer is (-1, 1)

Answer:

54

Step-by-step explanation:

66+60=126

180-126=54

Answer:

The vertex is at [tex](0, -9)[/tex]

The axis of symmetry [tex]x = 0[/tex]

Step-by-step explanation:

Note: You can answer all the questions looking at the graph

We have the function [tex]f: \mathbb{R} \rightarrow\mathbb{R}[/tex](I am assuming this) such that [tex]f(x) = y = (x-3)(x+3)[/tex]

We note that

[tex](x-3)(x+3) = x^2-9[/tex] once we have a difference of squares

Therefore, we have a quadratic function.

So

[tex]y = x^2-9[/tex]

The vertex [tex](h, k)[/tex] is

[tex]h = \dfrac{-b}{2a} = \dfrac{-0}{2 \cdot 1} = 0[/tex]

[tex]k= h^2 - 9 = 0^2 - 9 =-9[/tex]

Therefore, the vertex is at [tex](0, -9)[/tex]

As we know the vertex, we conclude that the axis of symmetry [tex]x = 0[/tex]

The x-intercepts occur at [tex]y = 0[/tex]

[tex]y = (x-3)(x+3) \implies x = -3, x=3[/tex]

So, the left x-intercept is [tex](-3, 0)[/tex] and the right x-intercept is [tex](3, 0)[/tex]

As I stated in the beginning, the domain is the set of all real numbers. Precisely,

[tex]Dom(f) = \mathbb{R} = (-\infty, \infty)[/tex]  

Once, we know the vertex, we also conclude that the Range is

[tex]Ran(f)= [-9,\infty)[/tex]

Greater than or equal to -9

Answer:

your answer will be -1.2

Step-by-step explanation:

hope it helps you

have a great day

Answer:

F=(-1, -2)

G=(-3, -5)

H=(-3, -2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's in the same order, from broker 1 down to broker 5. Straight up

Answer:
Broker E
|
V
Broker C
|
V
Broker D
|
V
Broker B
|
V
Broker A

Answer:

72%

Step-by-step explanation:

72%+28=100%

Answer:

The minimum height is: 44.24 ft and the maximum is 50.74ft

Step-by-step explanation:

Given

[tex]L = 54[/tex] --- Length of ladder

[tex]55 \le \theta \le 70[/tex]

Required

The minimum and maximum height

The question is illustrated with the attached image:

The height h is calculated using:

[tex]\sin(\theta) = \frac{h}{54}[/tex] --- sine equation

When [tex]\theta = 55[/tex], we have:

[tex]\sin(55) = \frac{h}{54}[/tex]

Make h the subject

[tex]h = 54 * \sin(55)[/tex]

[tex]h = 54 * 0.8192[/tex]

[tex]h = 44.24ft[/tex]

When [tex]\theta = 70[/tex], we have

This gives:

[tex]\sin(70) = \frac{h}{54}[/tex]

Make h the subject

[tex]h = 54 * \sin(70)[/tex]

[tex]h = 54 * 0.9397[/tex]

[tex]h = 50.74ft[/tex]

The minimum height is: 44.24 ft and the maximum is 50.74ft

Answer:i got 1 2 3 4 5 6 7 8 shooters ready to gun you down

Step-by-step explanation:

Answer:

86

Step-by-step explanation: