Find the measure of the missing angles.

Answer: 5= 4x + 8

             -8           -8

-3= 4x

the answer is x = 0.75

i don't know if I'm right if I am not I am sorry

With a 95% confidence interval, the average is between 13.4667 and 26.5333.

Confidence interval is the measure of the degree of uncertainty or certainty in a sampling method. It is equal to the sample mean, plus or minus the margin of error (z value multiplied by standard deviation divide by the square root of the sample size).

CI = x ± z(σ/√n)

where CI = confidence interval

x = mean

σ = standard deviation

n = sample mean

z = z value at the confidence interval

The corresponding z value at 95% confidence interval is 1.96.

Substitute the given into the formula and solve for CI.

CI = x ± z(σ/√n)

CI = 20 ± (1.96)(10/√9)

CI = 20 ± (1.96)(10/3)

CI = 20 ± 6.5333

CI = (13.4667, 26.5333)

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a) The expected value is calculated to be 2.273 and b) the standard deviation is 1.499 if a random sample of 200 children is selected.

According to the report 1 in 88 American children has been diagnosed with ASD, therefore the probability can be given as;

p = 1 / 88

a) the expected value can be calculated as follows;

E (X) = n × p

here n = sample size = 200

p = probability = 1 / 88

E (X) = 200 × 1 / 88

E (X) = 2.273

b) To find the standard deviation, first, we have to determine the variance of the random variable;

V (X) = n × q × p

V (X) = 200 × 87/88 × 1/88

V (X) = 2.2468 = 2.247

Now we can calculate the standard deviation as follows;

standard deviation = √V(X)

standard deviation = √2.247

standard deviation = 1.499

Therefore, the expected value and standard deviation are calculated to be 2.273 and 1.499 respectively.

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The true statement is the range of Mrs Plum's class is 14 greater than the range of Mr Scarlet's class.

A box plot is a graph that is used to describe a dataset. A box plot is made up of two lines and a box. The two lines are known as whiskers.

The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number. The difference between the whiskers is the range.

Range is used to measure the variation of a dataset. It is the difference between the maximum number and the minimum number.

Range = maximum number - minimum number

Range of Miss Scarlet's class = 98 - 65 = 33

Range of Miss Plum's class = 98 - 51 = 47

Difference in range = 47 - 33 = 14

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The inequality shows that the number of visits that Janelys needs at least 165 points for a free movie ticket is 12.

From the information, Janelys has a points card for a movie theater and she receives 20 rewards points just for signing up and earns 12.5 points for each visit to the movie theater.

The number of visits that are needed to earn at least 165 points will be illustrated as x. This will be:

20 + 12.5x >= 165

Collect like terms

12.5x >= 165 - 20

12.5x >= 145

Divide

x >= 145 / 12.5

x >= 11.6

Therefore, she needs at least 12 visits.

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Janelys has a points card for a movie theater. She receives 20 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs at least 165 points for a free movie ticket. How may visits are needed?

Answer: x = 70

Step-by-step explanation: the sum of the angle 2x-5  and 45 deg should equal 180 deg, so 2x-5 should be equal to 135 because 180 - 45 = 135

So 2x -5 = 135. Add 5 to both sides to cancel it out. 2x = 140. divide both sides by 2 to cancel 2 on x. Answer is X=70

I think this is how you do it lol but I don't know for sure.

Answer:

3

Step-by-step explanation:

Football scores of Ali and Mohammad are 213 and 207 respectively.

Given,

Sum of Ali and Mohammad's football score is 420.

Difference between Ali's football score and Mohammad's football score is 6.

Then,

A - B = 6  ⇒Equation1

Where A = Ali's football score, and B= Mohammad's football score

Let's assume,

Ali's football score =

Mohammad's football score =

Sum of Ali's football score and Mohammad's football score:

A + B = 420 ⇒Equation2

After subtracting Equation2 from Equation 1

(A+B) - (A-B) = 420 - 6

A + B - A + B = 414

Since first A is positive and second A is negative, they will cancel out each other.

2B = 414

B = 207

After putting value of B in Equation2,

A + 207 = 420

A = 420- 207

A = 213

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Answer:

72[tex]units^{2}[/tex]

Step-by-step explanation:

See pictures

Answer: y = -4.4

              y = -3.8

              y = -3.2

Step-by-step explanation:

Answer:

(x + 2)² - 11, so a = 2 and b = 11

A computer base unit of mass 4.5 kg is dragged along smooth desk, if tension in each arm of the person dragging it is 16 N and acts at 22° above the horizontal, then what is the normal reaction force is 32.12N.

A force is effect that can alter an object's motion according to physics. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from the rest. An obvious way to describe force is as push or a pull. A force is vector quantity since it has both magnitude and direction. It is calculated by using newton SI unit (N). Force is denoted by letter F. (formerly P).

The net force acting on object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original formulation. This law suggests that object's acceleration is directly proportional to the net force acting on it, is in the direction of the net force, and is inversely proportional to mass of the object if the object's mass is constant.

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The diagram for the angle of depression is constructed.

The angle of depression is defined as "an angle made between the horizontal line as well as the line of sight whenever a watcher looks directly down at an object." The term "angle of depression" refers to the following:

For the given question;

The height of the cliff is 300 m.

The distance of the table from the cliff is 600 m.

The angle of depression is 30 degrees.

Thus, the diagram for the angle of depression is made.

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Answer:

Step-by-step explanation:

A=25xB
B=18xC
A=3600cm

B=A/25
B=3600/25
B=144
C=B/18
C=144/18
C=8

The linear equation in the form p = mn + b that gives the price p they can change charge for n- shirts is; p = (9/1000)n - 9.

As per the given question;

number of shirts = n

The charge per shirt = p.

The equation describing the relation is;

p = mn + b

The price of 6000 shirts = $81.

Put the value is equation;

81 = 6,000m + b  .....eq 1

The price of 10,000 shirts = $45.

45 = 10,000m + b .....eq 2

Solving eq 1 and eq 2 by elimination method.

m = 9/1000

Put the value of m in eq 2 and find b.

b = -9

Now, put the value of b and m in the equation.

p = (9/1000)n - 9

Thus, the equation in the form p = mn + b that gives the price p they can change charge for n shirts is; p = (9/1000)n - 9.

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An operation in mathematics is a function that converts 0–n parameters or operands into a definite output value. The complexity of the operation depends on how many operands there are. The expression is equal to -5.97.

An operation in mathematics is a function that converts 0–n parameters or operands into a definite output value. The complexity of the operation depends on how many operands there are.

The operations that are most frequently studied are binary operations (i.e., operations of arity 2), which include addition and multiplication, and unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse. A zero-arity operation, also known as the nullary operation, is a constant. An illustration of a ternary operation, also known as an operation of arity 3, is the mixed product.

Usually, it is considered that the arity is constrained. Even so, infinitary operations are occasionally considered, in which case the "normal" finite dimensionality operations are referred to as finiteary operations.

A partial operation is described as being similar to an operation but using a partial function in place of a function.

[tex](a-b)^{2} = a^{2}+b^{2}-2ab[/tex]

[tex](\sqrt{10} - \sqrt{9})^{2}[/tex])= [tex](\sqrt{10}) ^{2} + (\sqrt{9) } ^{2} - 2* \sqrt{10} * \sqrt{9}[/tex]

                    = 10+ 9- 18.97

                    =-5.97

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Step-by-step explanation:

y = kx

3 = k × 12

.: k = 12/3 = 4

Inputting that to when y = 96 Ibs.

We have:

96 = 4 × x

96 = 4x

.: x = 96/4

x = 24 realms.

By using the fact that the two angles are vertical angles, we will write and solve a linear equation to fine that the value of x is 20.

Here we assume that both of the horizontal lines are parallel. Then the two marked angles (the ones that depend of x) are vertical angles.

This means that the measure of these angles is the same one, then we can write:

(5x - 8)° = (3x + 32)°

So we can solve that linear equation to find the value of x, we will get:

5x - 8 = 3x  + 32

Grouping like terms we get:

5x - 3x = 32+ 8

2x = 40

x = 40/2

x = 20

The value of x is 20.

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The equation of the new function g(x) is g(x) = 2 - |x+2|

Transformation is. way of changing the position of an object on an xy-plane.

Given the parent function  f(x) = |x+3|.

If the function is translated 2 units down and 1 unit right, then the resulting function will be |x+3 - 1| - 2 which is equivalent to  |x+2| - 2

The reflection of the resulting function across the x-axis is given as:

g(x) = -(|x+2|-2)

g(x) = 2 - |x+2|

Hence the new function g(x) if the parent function undergo the transformation is g(x) = 2 - |x+2|

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There is a 70.6% chance that none of the 4 randomly picked people share your zodiac sign.

Probability is a branch of mathematics in which we determine how likely an event is to happen. It is used when we are not sure about the result or outcome of an event so we consider the probabilities of certain outcomes.

In this case, there are 12 zodiac signs, out of which one is yours. So the probability or chance that the 4 randomly picked people do not share your zodiac sign can be determined as follows;

Probability of one person not having your zodiac sign: 11/12

Probability of 4 people not having your zodiac sign;

11/12 × 11/12 × 11/12 × 11/12 = 0.706

Converting it into percentage:

0.706 × 100 = 70.6%

Hence, the probability that none of the 4 people share your zodiac sign is calculated to be 70.6%.

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This questions is testing the knowledge on place value and total value.

The two to the left of the 2 in the tens place is 100 times larger than the 2 in the 100ths place in the value.

The total value of the 2 in the tens position is 20.

The total value of the 2 in the tenth position is 0.2.

To obtain the difference, divide the 20 in the tens position to the 2 in the tenths position.

20/0.2 = 100

the 2 in the tens place represents 100 times what the 2 to its left represents.

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The complete statement is: 'When the denominator of a fraction is equal to -1, and the numerator is nonzero, the value of the fraction is equal to the opposite of the numerator of the fraction.'

In this question, we need to fill in the blanks for the statement 'When the _______  of a fraction is equal to -1, and the numerator is nonzero, the value of the fraction is equal to ______'

We know that, a fraction is represented as:

x/y

Where, x represents the numerator,

y represents the denominator

Assume that y = -1

Then the fraction becomes x/(-1) = -x

This means, if the numerator is nonzero, and the denominator is -1, then the fraction has a value opposite of the numerator

Therefore, the complete statement is: 'When the denominator of a fraction is equal to -1, and the numerator is nonzero, the value of the fraction is equal to the opposite of the numerator of the fraction.'

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Answer:

D 5

Step-by-step explanation:

Solve the inequality

5-2x ≥-3

Subtract 5 from each side

5-2x-5 ≥-3-5

-2x ≥-8

Divide by -2, remembering to flip the inequality

-2x/-2 ≤-8/-2

x ≤4

The only number not less than or equal to 4 in the choices is 5.

5 is not a solution

Answer:

Answer D is correct

Step-by-step explanation:

First, let us solve for x.

[tex]5 - 2x \geqslant - 3[/tex]

First, subtract 5 by both sides.

[tex] - 2x \geqslant - 3 - 5 \\ - 2x \geqslant - 8[/tex]

Divide both sides by -2.

[tex]x \leqslant 4[/tex]

Now, let us identify the equality sign and write the solutions of it.

[tex] \sf \leqslant \: \: \rightarrow \: \: x \: is \: less \: than \: or \: equals \: to \: 4[/tex]

Solutions

x = { 4, 3, 2, 1, 0...}

Accordingly, as 5 is greater than 4, 5 is not a solution for this given inequality.

Answer:

-3x+y = -3

Step-by-step explanation:

First, I would write this in the point slop form of a line and the translate it into the standard form of a line.

[tex]y_{1}[/tex] - y = m([tex]x_{1}[/tex] -x)  If the slope from of a line.  Put in the x, y and the slope.  You call the gradient, what I would call the slope.

y - 3 = 3(x -2)    Distribute the 3

y - 3 = 3x -6  Subtract 3 from both sides

-3x + y - 3 = -6  Add 3 to both sides

-3x + y = -6

the expected value of the largest value in the sample is:

np​.​random​.​uniform​(​0,​1,​100)

this question is about random samples from the uniform(0,1) distribution.

recall that for a sample of size mm from a uniform(0,1) distribution

the expected value of the largest value in the sample is:

np​.​random​.​uniform​(​0,​1,​100)

import numpy as np

pass the random uniform generated array into x

x = np random uniform(low, high, size)

here low = 0, high = 1, size = 100

x = no. random uniform(0,1,100)

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The statement "The sum of the slopes of line b and c is 0" is not always true.

Given:

Lines a and b are parallel.

Line c is perpendicular to both line a and line b.

The reason is that a perpendicular line has a slope of -1 /m when one line has a slope of m. Alternatively put, the slopes are negative reciprocals of one another.

This is because two lines that are parallel have the same slope.

This is because even if the two lines are perpendicular on adding their slopes together the outcome would not be 0. For instance, if b has a slope of 2, then c will have a slope of -1/2, and their sum will be 3/2.

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Answer:

B) Observational

Explanation:

Observational studies are studies where the researchers only observe the variables and don't make changes. When the political pollster reports the percentage, it only observes the decision of the people but they can't change what makes a person select one candidate or the other.

The surface area of the cuboid with the, height of the cuboid being 5m, the width being 2m, and the length being 10m is 160[tex]m^{2}[/tex]

Add the areas of each of the cuboid's six faces to determine its surface area. Additionally, we can label the prism's length (l), width (w), and height (h), and then calculate its surface area using the formula SA=2lw+2lh+2hw.

As we know:

Height =5m

Width= 2m

Length= 10m

T.S.A=2(LXW) + 2(LXH) + 2(WXH)

=2(10mx2m) + 2(10mx5m) + 2(2mx5m)

=(2x20m²) + (2x50m²) + (2x10m²)

=40m² + 100m² + 20m²

=160m²

Cuboid's surface area, which was determined using the formula 2lw+2lh+2hw, is 160 square meters.

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The capacity of 9 cm cylinder is 435 mililiters.

The capacity of 3 cm cylinder is 145 mililiters.

For the given question;

The capacity of larger cylinder; 15 cm height is 725 millilitres.

Volume of 15 cm height cylinder = 725 cu. cm.

Thus,

πr²h = 725

Put h = 15 cm

πr²15 = 725

r² = 725/ 15π

r² = 145/3π

The volume of 9 cm cylinder =   πr²9

Put the value of r² = 145/3π

V(h = 9 cm) =  π×145×9/3π

V(h = 9 cm) = 435 cu. cm.

The volume of 3 cm cylinder =   πr²3

Put the value of r² = 145/3π

V(h = 3 cm) =  π×145×3/3π

V(h = 3 cm) =  145 cu. cm.

The capacity of 9 cm cylinder is 435 mililiters.

The capacity of 3 cm cylinder is 145 mililiters.

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