Find the Volume of a cylinder with a diameter of 5 in and the height of 10 in. Use π = 3.14

Answer:

B, No solution

Step-by-step explanation:

If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect

In the first and second equation, the slopes are both 3 so they will never intersect.

Answer: 18.84

Step-by-step explanation : To find the circumference you use the formula:

2πr

Since we have the diameter (6), divide by 2 to find the radius, or r.

So (2)(3.14)(3)

Due to the fact that two angles, ABC and BCD, are supplementary, ACB is 75 degrees.

In Trigonometry, an angle is a shape that is composed of two rays, referred to as the angle's sides, that converge at even a center point regarded as the angle's vertex. Two rays can make an angle in the region where they are arranged. Moreover, when plane collide, an angle is created. Wing angles are what they are called. An angle is a possible shape for two rays or lines with only a common endpoint in planar geometry. The English term "angle" is derived from the Latin word "angulus," which meaning "horn." The vertex is the common endpoint of the two rays, also defined as the sides of both the angle.

given

Angle ABC=4

BCD=6x+50

∠FAE =∠CAB (vertically opposite angles)

∠FAE =∠CAB=45°

In ΔABC

∠ABC+∠CAB = ∠ACD(exterior angle property)

∠ABC = 105°-45°

∠ABC = 60°

In ΔABC

∠ABC+∠CAB+∠ACB=180°(Angle sum property of triangle)

60°+45°+∠ACB=180°

105°+∠ACB=180°

∠ACB=180°-105°

∠ACB=75°

Due to the fact that two angles, ABC and BCD, are supplementary, ACB is 75 degrees.

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Answer:

C

Step-by-step explanation:

73.89 x .05 = 3.6945

but to round it will become 3.69

Answer:

C. $3.69

Step-by-step explanation:

I hope this helps!

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

7

Step-by-step explanation:

14-|-10+3|

First find what is in the absolute value

14-|-7|

Take the absolute value

14 - 7

7

Answer:

\(35 - 3 \times 9 \\ = > 35 \: - 27 \\ = > 08\)

hope helpful <3

Answer:

8

Step-by-step explanation:

the most important thing to remember here is the priority, multiplication  before substraction

35 - 3 * 9 = 35 - 27 = 8

Answer:

5/7=W/28

Step-by-step explanation

They won 5 out of 7 played games so that's their win rate. If the same team continued to do this for 28 games then they would win 20 times.

Answer:

I think it's C, because the figures are similar by THAT statement

Answer:

9

Step-by-step explanation:

9

Answer:

\(3x^2y\)

Step-by-step explanation:

The cube root of 27 is 3.

With indices, cube rooting them is the equivalent of multiplying by 1/3 so:

\(x^2y\).

Put these 2 things together and you get:

\(3x^2y\)

Answer:

6 2/5

Step-by-step explanation:

6×5= 30 + 2= 32

I hope this helps in any way.

The mixed form of the factor 32/5 will be 6²/₅.

To convert the fraction 32/5 to a mixed number, we need to find the whole number part and the fractional part.

Divide the numerator (32) by the denominator (5) to find the whole number part. In this case, 32 divided by 5 equals 6 with a remainder of 2.

The quotient, 6, represents the whole number part of the mixed number.

The remainder, 2, represents the numerator of the fractional part.

The denominator remains the same.

Putting it all together, the mixed number representation of 32/5 is 6 and 2/5.

So, 32/5 is equal to 6 and 2/5.

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The line m is not parallel to line n. Hence, proved.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, line m is not parallel to line n.

Prove that, ∠1 is not congruent to ∠5 by contradiction.

A by contradiction proof starts by assuming the negative of the to prove is true, then from there logically arriving at a contradiction.

So, assume ∠1 ≅ ∠5.

Those angles are corresponding angles (definition of corresponding angles when two lines are cut by a transversal)

Therefore, line m║n (when two lines are cut by a transversal such that corresponding angles are congruent, then those lines are parallel).

This contradicts the given information that line m is not parallel to line n, so the original assumption cannot be true.

Hence, it is proved.

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Answer:

Step-by-step explanation:

The problem specifies that you may use a calculator. The formula, as reference, is:

You can use a regular calculator or an online spreadsheet to solve. In sheets, arrange your data and use the =PERCENTILE( ) function. In the parentheses, write the range of your data and the requested percentile as a decimal. So if I type the data (the ages of the signers for this example) in cells A:4 through A:23, I'd write =percentile(A7:A23,0.25).

So the answers:

25th percentile is 34.

80th percentile is 48.4.

The area of the rhombus, obtained from the dimensions, of the diagonals, found from the trigonometric of sines of the angle can be presented as follows;

Area = 8·√3

The area of a plane figure is the two dimensional space occupied by the figure on a plane.

The measure of the angle ABC, m∠ABC = 60°

The length of the segment AE = 2 units

The diagonals of a rhombus bisect each other at right angles, and the right angles through which they pass, therefore;

BE = ED, m∠AEB = 90°

m∠ABE = 30°

sin(30°) = AE/AB

sin(30°) = 2/AB

AB = 2/(sin(30°)) = 4

AB = 4

BE = √(4² - 2²) = √(12) = 2·√3

Therefore; AC = 2 + 2 = 4

BD = 2·√3 + 2·√3 = 4·√3

The area of a rhombus = (1/2) × The product of the length of the diagonals

Therefore;

Area of the rhombus = (1/2) × (4·√3) × 4 = 8·√3

The area of the rhombus = 8·√3

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Answer:

12 ( or 24, depending on what the question is asking)

Step-by-step explanation:

The lowest common multiple of 12 and 2 is 12.

If Charlotte doesn't write anymore pages after writing the original twelve, and Barry writes 2 pages six times, they both write the same number of pages. So, the smallest number of pages is 12

However, if the question is asking for the smallest total number of pages, then the answer is 24 since they both write 12 pages each.

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Answer:

5.5 feet

Step-by-step explanation

The Point estimate ± Margin of error =39 ± 3.3

Given, that in a survey, 29 people were asked how much they spent on their child's last birthday gift

n = 29 (sample size)

m = 39 (sample mean)

s = 18 (sample standard deviation)

C = 0.95 = 95% (confidence level)

Now, d = degrees of freedom = n-1 = 29-1 = 28

confidence level = 95%

Alpha value = 1 - (95/100) = 1 - (0.95) = 0.05

Then, the critical value is roughly

t = 1 - (Alpha value / 2)

t = 1 - (0.05/2)

t = 0.975

Then, the point estimate is the sample mean i.e. 39 which estimates the population mean.

And the margin of error (MoE) is

MoE = (t×s)/√n

MoE = (0.975×18)/√29

MoE = (0.975×18)/5.385

MoE = 17.55/5.385

MoE = 3.26

MoE = 3.3

Hence, Point estimate ± Margin of error =39 ± 3.3

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Answer:

c

Step-by-step explanation:

its not a or b

Answer:

16x2 − 81

Step-by-step explanation:

To find if the data from the sample are consistent with the distributors claims, we first express the number of each type of egg purchased as a percentage of the total number of eggs purchased:

Thus, for the white eggs:

For brown eggs:

For organic eggs:

For free-range eggs:

Now, we can see that these percentage values correspond closely with that reported by the distributor: 51.7% compared to 50% for white egg purchases. 27.5% compared to 30% for brown egg purchases, 14.2% compared to 15% for organic egg purchases, and 6.7% compared with 5% for free-range eggs.

Now that we have Observed and Expected percentage values for each type of egg purchase, we can apply the Chi-Square Goodness of fit test to determine whether or not to reject the claims made by the distributor.

We now state the hypotheses as follows.

H0: Distributor's claims are correct.

H1: Distributor's claims are wrong

Now, we have to find the critical value.

Since the degrees of freedom are 4-1 =3, and alpha (significance level) is 0.05 (equivalent of 5%)

Hence, the critical value from Chi-Square tables is 7.815.

Now we compute the test value by subtracting the expected value from the

corresponding observed value, squaring the result and dividing by the

expected value, and then finding the sum.

Answer:

B

9/12 carton

Step-by-step explanation:

Get both fractions to have the same denominator.

So make 3 into 12 by multiplying numerator and denominator by 4.

1×4/ 3×4 = 4/12

Now you can add the fractions.

5/12 + 4/12

= 9/12 Carton

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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6. The numeric value of f(x) at x = -2 is given as follows: f(-2) = -4.

7. The vertex of the absolute value function is given as follows: (-3, -3.1).

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

A piecewise function is a function with different definitions based on the input of the function, hence we must also identify the correct definition.

-2 is less than -1/2, hence the definition is given as follows:

f(x) = -x².

Then the numeric value at x = -2 is given as follows:

f(-2) = -(-2)²

f(-2) = -4.

The definition of an absolute value function of vertex (h,k) and leading coefficient a is given as follows:

y = a|x - h| + k.

Hence the vertex of the function in item 7 is given as follows:

(-3, -3.1).

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Answer:

104 blue pens

Step-by-step explanation:

Number of blue pens

= (100%-14%-34%) × 200

= 52% × 200

= 104

Answer:

1.5 miles

Step-by-step explanation:

.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour

It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.

The center of the sampling distribution of the sample mean for a random sample of 75 adults is the same as the population mean of 98.6°F, while the variability is reduced compared to the individual body temperatures due to the larger sample size.

The center of the sampling distribution of the sample mean for a random sample of 75 adults can be described as the same as the population mean, which is 98.6°F.

This means that, on average, the sample means of different samples of size 75 will be centered around 98.6°F.

The variability of the sampling distribution of the sample mean can be described by the standard error, which is the standard deviation of the sample mean.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size.

In this case, the standard error would be 0.60°F divided by the square root of 75.

Since the sample size is relatively large (75), the standard error will be relatively small, indicating less variability in the sample means.

A smaller standard error suggests that the sample means will be closer to the population mean of 98.6°F, indicating a higher precision in estimating the true population mean.

Overall, the center of the sampling distribution is the same as the population mean (98.6°F), while the variability is reduced due to the larger sample size, resulting in a smaller standard error.

This means that the sample means of different samples of size 75 are more likely to cluster around the population mean, providing a more accurate estimation of the true mean body temperature of adults.

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