the radius of the placement is 7.5 inches. What is the area of the placemat? use 3.14 for pi

​

Answer:

x=18

Step-by-step explanation:

Hey There!

So if you did not know all of the angles in a triangle will add up to equal 180

So we use the equation

180=2x+3x+5x

and solve for x

step 1 combine like terms

2x+3x=5x

5x+5x=10x

so now we have

180=10x

step 2 divide each side by 10

180/10=18

therefore x = 18

hope this helps and if you have any more questions feel free to ask :)

Answer:

B

Step-by-step explanation:

Integers cannot contain any decimals. Since 4/3 equals 1.33333, it is not an integer. The other fractions like 12/4 can be simplified to 3 which is an integer.

A recursive formula for the sequence is:  f(n+1) = f(n)-99.4, n ≥ 1

Consider the given sequence.

99.4, 0, -99.4, -198.8, . . .

We can observe that each next term of the sequence is decreased by -99.4

i.e., f(0) = 99.4

f(1) = f(0) - 99.4

f(1) = 99.4 - 99.4

f(1) = 0

f(2) = f(1) - 99.4

f(2) = 0 - 99.4

f(2) = -99.4

From these calculations we can say that the n-th term would be,

f(n) = f(n - 1) - 99.4

Therefore, recursive formula:  f(n+1) = f(n) - 99.4

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Based on the given information, the hypotheses to test whether the mean GPA differs for Duke students based on major can be stated as follows:

Null hypothesis (H0): The mean GPA is the same for students in all majors.

Alternative hypothesis (Ha): The mean GPA differs among students in different majors.

The test was conducted at a significance level of 0.05. The test statistic obtained was 0.358, and the p-value associated with this test statistic was 0.6996.

Since the p-value (0.6996) is greater than the significance level (0.05), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the mean GPA differs significantly among students in different majors at Duke University.

In other words, based on the data collected from the random sample of 200 students, we do not have sufficient evidence to support the claim that there is a significant difference in the mean GPA based on the students' majors. The differences observed in the sample GPA means could be due to random sampling variation rather than a true difference in the population means.

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The ratio of orange kittens to black kittens can be expressed as 5:2.

In this design, 60% is orange and the rest is black.

The colour black and orange mixed together is called tangelo. A tangelo is a fruit that is a hybrid of a grapefruit and an orange.

In a RGB color space (made from three colored lights for red, green, and blue), hex #FFA500 is made of 100% red, 64.7% green and 0% blue.

To find the ratio of orange kittens to black kittens, we can compare the number of orange kittens (5) to the number of black kittens (2).

Therefore, the ratio of orange kittens to black kittens can be expressed as 5:2.

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Answer:

the graph... it's slope is |2| and the chart is |1|

the absolute values are there because the questions only says "how steep"

not the direction

Step-by-step explanation:

The circumference of the circle will be 27.34 cm.

Given Diameter of the glass lens is 8.7 cm.

Given Diameter of the glass lens  D = 8.7 cm

The circumference of circle is given by  = πD

where ,   π = constant

              D= Diameter

putting the value of D in the above formula of circumference

The circumference of circle is given by  = πD

The circumference of circle is given by  = π \(\times 8.7\)

The circumference of circle is given by  = 27.37 cm  (π=3.14)

Hence the circumference of the circle will be 27.34 cm.

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Step-by-step explanation:

2×2×2×2

3 3 3 3

2×2×2×2

3×3×3×3

16

3×3×3×3 (divide)

= 16/81

hope it helpsss!!

can you mark me as the brainliest

Answer:

1) 4 × 4× 4 = 64

2) 6⁴ = 1296

3) 25 = 25

4) 5² = 2

3) 3⁴= 81

The distribution of the given function is a uniform distribution.

A strictly increasing function is the one which increases continuously in a given interval. If f-1(u) is a strictly increasing function of u, then the distribution of f-1(u) is the same as that of u. This is because a strictly increasing function preserves the rank ordering of its input, so if u-1 and u-2 are two random variables with a uniform distribution on the interval (0,1), then the rank order of f-1(u-1) and f-1(u-2) will be the same as the rank order of u-1 and u-2. Since the uniform distribution is defined by the rank order of its values, this means that the distribution of f-1(u) is also uniform on the interval (0,1).

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Answer:

\(\frac{7}{10}=\frac{14}{20}\)

\(\frac{3}{4}=\frac{15}{20}\)

so, \(\frac{7}{10}<\frac{3}{4}\)

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

exterior angle property of triangle

64+33 equals 97

in other ways

By Angle sum property of triangle, the measure of 3rd angle is 83 and

angle 1 and 3rd angle are supplementary

so,

180 - 83 = 97

Answer:

Question 1: 71 and 72

Question 2: Child 1: 60 lbs, Child 2: 15 lbs

Step-by-step explanation:

Question 1:

Consecutive numbers are 2 numbers right next to each other.

You know the numbers will have to be double digits number.

71 and 72 are consecutive numbers. The sum of them is 143.

71+72=143

Question 2:

For this problem, we can use system of equations to find the mass of the 2 children. Let's say x is the first child and y is the second child.

Equation 1

x+y=75

This equation comes from the combined mass of the 2 children.

Equation 2

x=4y

This equation comes from the first child being 4 times the mass of the second child.

Since we know the value of x, we can use substitution to find y.

4y+y=75

5y=75

y=15

Now that we know the second child is 15 lbs, we can plug this into any of the 2 equations to find the mass of the first child.

x=4(15)

x=60

The 95% confidence interval for p is 0.26 ± 2.63 * sqrt((0.26 * (1 - 0.26)) / 300). The correct answer is option b.

For the first problem:

The question asks whether a sample size of n = 108 is large enough to use an inferential procedure. The correct answer is: O Yes, since both n and np (where p is the proportion of interest) are greater than or equal to 15.

To determine if a sample size is large enough to use an inferential procedure for proportions, both the sample size (n) and the product of the sample size and the proportion of interest (np) should be greater than or equal to 15. In this case, n = 108, and since the proportion is not provided, we cannot verify whether np is greater than or equal to 15. Therefore, we cannot determine if the sample size is large enough based on the information given.

For the second problem:

To find the 95% confidence interval for p (proportion), we can use the formula:

p ± z * sqrt((p * (1 - p)) / n)

p = 0.26 (probability of success)

n = 300 (sample size)

z = 1.96 (z-value for a 95% confidence level)

Using the formula, the 95% confidence interval for p is:

0.26 ± 1.96 * sqrt((0.26 * (1 - 0.26)) / 300)

Therefore, the correct answer is option b.

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Answer:

15/17

Step-by-step explanation:

SOH-CAH-TOA

Sine is the ratio of the length of the side opposite to the angle to the hypotenuse of the right triangle.

The correct answers are:

a. less a discount to yield 6.20%

d. plus a premium to yield 6.36%

Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.

To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.

a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.

b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.

c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.

d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.

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Answer:

C. 720

Step-by-step explanation:

10 - 3 is 8 so you multiply all the numbers from 10 through 8

10 * 9 * 8 = 720

That is the answer. Hope it helped!

Answer:

C: 720

Step-by-step explanation:

i got 100% on the quiz

Answer:

whats the question i can't really see it

Step-by-step explanation:

Answer: 86.34813

Step-by-step explanation:

l= (square root)r^2 + h^2 = (square root)20^2 + 84^2

b) h = \(tan \theta\)  x 17 is the required equation.

c) The height of the streetlight is 20.4 ft.

The height of the person is 6 ft.

The distance at which the person is standing from the streetlight = 12 ft.

The distance at which the person's shadow appears = 5ft.

a) Hence, we can make the following diagram.

The right triangle below gives a visual representation of the problem. It shows the known quantities and a variable 'h' to indicate the height of the streetlight.

b) Let's now find an equation trigonometric function involving the unknown quantity 'h'.

from the below diagram, we can say that,

\(tan \theta\) = h/base

base= 12+5=17

hence we have, \(tan \theta\) = h/17

h = \(tan \theta\)  x 17 is the required equation.

c) Now we have to find the height of the streetlight.

firstly let's find the value of \(\theta\),

\(\theta\) = tan 6/5.

\(tan^{-1}\)(6/5) = 50.2°

hence, tan 50.2 = h/17

                   1.20 = h/17

                         h= 1.20 x 17

                         h= 20.4 ft.

Hence, the height of the streetlight is 20.4 ft.

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Part a: The Analysis of Variance (ANOVA) can be used to analyze the data and reach a conclusion.The ANOVA table is presented below.

Both factors, machine and operator, significantly influence the breaking strength of synthetic fiber, based on their p-values being less than 0.05.

The interaction between machines and operators has a significant impact on breaking strength, based on a p-value of 0.046.

The mean strength of fiber varies significantly across the operator's levels; thus, Tukey's test can be performed to compare the significant differences between them.

Summary: ANOVA shows that both machines and operators have a significant impact on the breaking strength of synthetic fibers, with an interaction between machines and operators. Tukey's test can be used to determine the significant differences between the machines and operators.

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Answer:

6 3/250

Step-by-step explanation:

Follow me

Peace out!

Answer:

160

Step-by-step explanation:

Answer:

Triangle ABC is congruent to triangle DFE.

The proof intersection of two min cut is also min cut is explained in detailed way and the steps are given below.

In graph theory, a cut in a graph G is a partition of the vertices of G into two non-empty sets. The weight of a cut is the sum of the weights of the edges that cross the partition. A min cut is a cut of minimum weight.

Suppose we have two min cuts in a graph G, C1 and C2. We need to show that the intersection of C1 and C2 is also a min cut.

Let C = C1 ∩ C2, and let w(C) be the weight of C. Since C is a subset of both C1 and C2, we have w(C) ≤ w(C1) and w(C) ≤ w(C2).

Now, suppose for contradiction that there exists a cut C' in G such that w(C') < w(C). Since C1 and C2 are min cuts, we have w(C1) = w(C') and w(C2) = w(C').

Therefore, w(C') < w(C1) and w(C') < w(C2), which implies that C' is a cut of weight less than the weight of both C1 and C2, which contradicts the assumption that C1 and C2 are min cuts.

Therefore, we conclude that the intersection of two min cuts is also a min cut.

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The polar form of the complex number is 28√3 ∠70.53∘.

The polar form of a complex number represents the number in terms of its magnitude and angle. To find the polar form of the given complex number, we first need to simplify the expression inside the parentheses.

Using the trigonometric identity cos(θ) + i sin(θ) = ∠θ, we can simplify 3∠60∘ to (3/2 + j(3√3)/2) and 2j to 2∠90∘.

Then, we can distribute the 14∠30∘ to each term and simplify the result.

(14∠30∘)(6 - j(8/3 + (3√3)/3 j)) + (14∠30∘)(2∠90∘)

= (84∠60∘ - j(112/3∠150∘ + (42√3)/3∠210∘)) + 28∠120∘

= 28(√3 + j)

The magnitude of the complex number is 28√3, and the angle is 60∘ + tan⁻¹(1/√3) ≈ 70.53∘.

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Answer:

\(f(5)=9\)

Step-by-step explanation:

\(f(5)=2(5+3)-7=2(8)-7=16-7=9\)

Answer:

Deberás beber 1.75 litros de agua en un día.

Step-by-step explanation:

De acuerdo a la información dada, puedes utilizar una regla de tres para encontrar la cantidad de agua que deberás beber en un día si pesas 50 kg dado que debes tomar 0.035 litros por cada kg:

 1kg     →     0.035 litros

50 kg  →              x

x=(50*0.035)/1=1.75 litros

De acuerdo a esto, la respuesta es que deberás beber 1.75 litros de agua en un día.