what are they equal too

Answer: The answer would be h=14in

Step-by-step explanation:

Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.

Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.

Iris should use an income value of approximately $3,137.50 when making her budget.

When making her budget as a freelancer, Iris should use an income value that reflects her average earnings over the past four months. By calculating the average income, Iris can have a more stable and reliable estimate for her budget planning.

To determine the average income, Iris needs to add up the total income earned over the four months and divide it by the number of months. Summing up the income values, we get:

$2700 + $4600 + $3550 + $1700 = $12,550

Next, dividing the total income by four (the number of months), we find:

$12,550 / 4 = $3,137.50

Therefore, Iris should use an income value of approximately $3,137.50 when making her budget. This average value allows her to account for fluctuations in her monthly income and provides a more accurate representation of her earning potential.

It is important for Iris to consider her expenses and financial goals when budgeting. By using the average income, she can create a budget that balances her income and expenses, allowing her to allocate funds appropriately for various needs such as bills, savings, investments, and personal expenses.

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The probable question may be:

Iris is a working freelancer and has been tracking her monthly income for the last four months, which are $2700, $4600, $3550, and $1700. What income value should she use when making her budget?

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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The length of the real life plane is 8000 centimetres.

The scale model as a ratio is  1:2000.

A model of a plane has a length of  4 cm. The real life plane has a model of 80 m.

The length of the real life plane in centimetres is as follows:

1 metre = 100 centimetres

80 metres = ?

cross multiply

length of the real life plane in cm = 80 × 100

length of the real life plane in cm = 8000 centimetres

The scale model can be calculated as follows;

scale model = 4 / 8000

scale model = 1 / 2000 = 1:2000

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Answer:

Simple

Step-by-step explanation:

Just remember this :

x / total into 100

What ever is there just multiply by hundred to make it percent but sometimes they will ask u tricky q so u need to rearrange this formula

I hope this is   wht u expected

For a fraction, make the fraction out of 100 or change it to a decimal

example: 1/20 = 5/100 = 5%

For a decimal, just multiply by 100 or change it to a fraction

example: 0.31 = 31%

Answer:

Step-by-step explanation:

Add 53 and 35 because 53 and x are alt exterior angles. That means that they are equal/ congruent. You can translate the angle where the 35 is down to x because they are equal.

So:

53+35= 88 degrees

x=88

The interest that have been earned after two years is $25.

A type of interest known as compound interest is computed using both the original sum and any accrued interest from earlier periods. The interest that is earned on interest is, in other terms, interest.

We know that by the compound interest formula;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

n = Number of times compounded

t = time

Thus;

A = 1100(1 + 0.0114/365)^365* 2

A = $ 1125

Thus the interest after two years is;

$ 1125 - $1100

= $25

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Answer: C. Circle

Step-by-step explanation: i got it right good luck

When the circle is rotated then it forms the sphere. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Whenever the 2D shape is rotated we get 3D solid.

A.  Triangle - when the triangle is rotated then it forms the cone.

B.  Square - when the square is rotated then it forms the cylinder.

C.  Circle - when the circle is rotated then it forms the sphere.

D.  Ellipse - when the ellipse is rotated then it forms the flat sphere.

Thus, the correct option is C.

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The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

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One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

Digital Construction is known to be a term that connote  the act of using digital technologies to be able to make construction to be more better and  with higher quality.

Note that  a lot of the new technologies have been seen to have proven themselves and gives  a lot of opportunities for the construction,

In the use of the digital tools, one can Construct a line or a line segment and then uses the move tool to drag some points around, and then watch to see what happens.

Therefore,  One can be able to  test to see if a diagram made using digital tools is a construction or just a drawing based on estimation by:

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Answer:

The probability that the sum of her two rolls has an odd number of factors will be;

Explanation:

We want to find the probability that the sum of her two rolls has an odd number of factors.

For the two rolls the total number of possible outcomes is;

Let us list out the possible outcomes of the two rolls;

From the listed possible outcomes, the number of oucomes with odd number of factors of the sum is;

Total number of possibles outcomes is;

The probability that the sum of her two rolls has an odd number of factors will be;

Answer:

d= 4

Step-by-step explanation:

2 * A/ B= 2 * 12.16  / 3.6 = 6.76

Answer:

28.8

Step-by-step explanation:

1 1/4 = 125%

Set up a ratio

36/x = 125/100

Cross multiply

3600 = 125x

28.8 = x

Therefore , width of rectangle is 9 cm and length is 13cm

What does a rectangle's area equal?

The territory a rectangle occupies inside its four sides or limits is referred to as its area.

The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Thus, we can say that the area of a rectangle equals the space enclosed by its perimeter. The area of a square will, however, be equal to the square of side-length in the case of a square because all of its sides are equal.

Length x Breadth = Area of rectangle

Let’s start by defining the width of the rectangle as w.

From the problem statement, we know that the length of the rectangle is 5 inches less than twice its width. So, we can represent the length as

2w - 5.

The area of a rectangle is given by the formula A = l * w, where l is the length and w is the width.

Substituting l = 2w - 5, we get:

A = (2w - 5) * w

A = 2w² - 5w

Now, we can use this equation to find the width of the rectangle when its area is 117 square inches.

A = 117

2w² - 5w = 117

2w² - 5w - 117 = 0

We can solve this quadratic equation using the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

where a = 2, b = -5, and c = -117.

w = (-(-5) ± √((-5)² - 4(2)(-117))) / (2 * 2)

w = (5 ± √(25 + 936)) / 4

w = (5 ± √(961)) / 4

We can ignore the negative root since we are looking for a positive value for the width.

w = (5 + 31) / 4

w = 9

so, length  l=2w-5

put value of w

2×9-5

=18-5=13

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Answer:

\(\displaystyle\text{Slope: } -\frac{4}{3}\)

Point (4,1)

Step-by-step explanation:

The Equation of the Line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

The given line is:

\(\displaystyle y-1=-\frac{4}{3}(x-4)\)

If we compare the equation of this line, both the slope and the point through which is passes are clearly identifiable:

Slope:

\(\mathbf{\displaystyle -\frac{4}{3}}\)

Point (4,1)

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

The reasonable domain for the function f(x) = -2/3x + 4 in this situation is B. 0 ≤ x ≤ 6

In this question, we have:

Function, f(x) = -2/3x + 4

Where

x is the bottles of hand sanitizer per month

The function f(x) cannot be less than 0

So, we have

-2/3x + 4 = 0

This gives

-2/3x = -4

Solve for x

x = 6

This means that x cannot exceed 6

Hence, the domain is (b) . 0 ≤ x ≤ 6

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Using the Central Limit Theorem, it is found that these conditions are required to avoid the high variability associated with small samples.

\(s=\sqrt{p(1-p)/n}\)

\(p v=2*p(z < -0.531)=0.595\)

1) Data given and notation

n=500 represent the random sample taken

X=380 represent the number of people with some characteristic

estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

represent the p value (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.7 .:  

Null hypothesis:  

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

(1)  The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

3) Calculate the statistic  

\(z=\frac{0.76 - 0.77}{\sqrt{\frac{0.77(1-77)}{500} } =0.531}\)

Since we have all the info requires we can replace in formula (1) like this:  

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \(\alpha =0.05\)The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

\(pv=2*p(z < -0.0531)=0.595\)

If we compare the p value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.  

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Answer:

78 inches

Step-by-step explanation:

5 hours = 390 inches

1 hour = 390 / 5

1 hour = 78 inches

Therefore the snail travels 78 inches in 1 hour.

Hope this helps!

Answer:

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American.

This means that \(p = 0.18, n = 100\)

So, by the Central Limit Theorem:

\(\mu = 0.18, s = \sqrt{\frac{0.18*0.82}{100}} = 0.0384\)

How likely is the resulting sample proportion to be between 0.066 and 0.294?

This is the pvalue of Z when X = 0.294 subtracted by the pvalue of Z when X = 0.066. So

X = 0.294

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.294 - 0.18}{0.0384}\)

\(Z = 2.97\)

\(Z = 2.97\) has a pvalue of 0.9985

X = 0.066

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.066 - 0.18}{0.0384}\)

\(Z = -2.97\)

\(Z = -2.97\) has a pvalue of 0.0015

0.9985 - 0.0015 = 0.997

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

Answer:

p(0)= -7

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.1 x + 40 = 76.5

0.1x = 36.5

x = 36.5 ÷ 0.1 = 365

The number of horse is 1, goat is 2 and sheep is 3 a man has.

The problem we are dealing with is related to the linear equation which is referred to as the algebraic condition where each term has an exponent of 1 and when this condition is graphed, it continuously comes about in a straight line.

Now w consider x to be the number of sheep, y to be the  number of  goats, and z to be the number of horses the man owns.

the actual equation for the total number of animals he owns  is :

x+ y+ z

according to the first condition:

that all sheep bar three, means

y+ z=3

similarly, for the other condition, it will be

x+ z=4   and x+ y=5

Now we adding the three  equations:

y + z +x +z +x +y=5+4 +3

2(x+y+z)=12

x+y+z=6........equation(1)

As x + y = 5

Put this in equation in (1), we get

x+y+z = 6

5 + z = 6

z = 1

x + z = 4

x + y + z = 6

y + 4 = 6

y = 2

Now we know

x + y + z = 6

x + 1 + 1 = 6

x = 4

So simplifying the other equation  we get, that the number of horse is 1, goat is 2, and sheep is 4.

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Simplify the expression.

149x

hope this is what your looking for

Answer: B EFD≅ △STR

Hope this helps!

Answer: Its △EFD≅ △STR

Step-by-step explanation:

Just took the test<3

The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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