Why is the diameter the longest chord

Answer:

-1,5

Step-by-step explanation:

Answer:

c(x) = 40 (x) + $6,900

Step-by-step explanation:

According to the scenario, given data are as follows,

Total cost of 100 bicycles (x1) = $10,900

Total cost of 120 bicycles (x2) = $11,700

Let Number of bicycles = X

Than cost of X bicycles = c(X)

let, fixed cost be F and variables cost be V, than

c(X) = V(X) + F

So, we can calculate variable cost by using following method,

V = c(x2) - c(x1) ÷ ( x2 - x1)

= ( $11,700 - $10,900) ÷ ( 120 - 100)

= $800 ÷ 20

= $40

So, calculate fixed cast by putting value to equation,

$10,900 = ($40 ×100) + F

F = $10,900 - $4,000 = $6,900

So, For x number of bicycles, cost equation will be,

c(x) = 40 (x) + $6,900

Answer:

The answer is 0

Step-by-step explanation:

input into slope formula

The slope of the line is 0.

The correct option is (B).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Points from the graph (1, 2) and (5, 2).

So, the slope of line

= ( 2- 2) / (5 -1)

= 0 / 4

= 0

Hence, the slope of line is 0.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

When x=10 f(x) is equal to 15

Step-by-step explanation:

Just substitute the two equations, 15=2x-5 -> 20=2x -> x=10.

Answer:

x ≥ 7

Step-by-step explanation:

First, put the same terms on the same side. So subtract 5 from both sides. You will get:

-3x ≤ -21

Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.

You will get:

x ≥ 7

Therefore, x will be a number that is greater than or equal to 7.

Answer:

Step-by-step explanation:

y = mx + b

Here, m is the slope.

b is the y-intercept

x-intercept = -b/m

y = 3x -4

a) slope = 3

b) y-intercept = (-4)

c)  x -intercept = -(-4)/3 = 4/3

[tex]y = \frac{1}{5}x-3[/tex]

a) slope =  [tex]\frac{1}{5}[/tex]

b) y-intercept = (-3)

c)  x -intercept = [tex]-\frac{1}{5}[/tex]÷(-3)

                      [tex]= \frac{-1}{5}*\frac{-1}{3}\\\\=\frac{1}{15}[/tex]

Answer:

0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.

We can consider 8 am = 0, and 8:30 am  = 30, so [tex]a = 0, b = 30[/tex]

Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

Between 15 and 25, so:

[tex]P(15 \leq X \leq 25) = \frac{25 - 15}{30 - 0} = 0.3333[/tex]

0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

Answer:

a) The standard deviation of this sampling distribution is 2.07.

b) The missing number is 4.14.

c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

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.

In this question:

[tex]\mu = 272, n = 840, \sigma = 60[/tex]

(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?

Using the Central Limit Theorem:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07[/tex]

The standard deviation of this sampling distribution is 2.07.

(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?

Within 2 standard deviations of the mean.

So, 2*2.07 = 4.14

The missing number is 4.14.

(c) What is the 95% confidence interval for the population mean score μ based on this one sample?

Within 4.14 of the mean

272 - 4.14 = 267.86

272 + 4.14 = 276.14

The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Answer:

60 degrees

Step-by-step explanation:

Hello! The side lengths of this triangle are all the same, so this is an equilateral triangle. These types of triangles have equal angles. A triangle equals 180 degrees so divide that by three. Each angle in this triangle is 60 degrees. Hope this helps :)

This question is incomplete, the complete question is;

Data on oxide thickness of semiconductors are as follows: 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416

(a) Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.)

(b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population. (Round your answer to 2 decimal places.)

(c) Calculate the standard error of the point estimate from part (a). (Round your answer to 2 decimal places.)

Answer:

a) point estimate of the mean oxide thickness for all wafers in the population is 423.333

b) point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23

c) the standard error of the point estimate from part (a) is 1.88

Step-by-step explanation:

Given the data in the question;

x = 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416.  

a)

To determine the mean;

we sum the total value divided by the sample size.

mean x" =  (425 + 430 + 414 + 419 + ............... + 414 + 416) / 24

mean x'' =   10160/ 24    

mean x" = 423.3333 ≈ 423.333

Therefore; point estimate of the mean oxide thickness for all wafers in the population is 423.333

b)  standard deviation

we can determine the population standard deviation us the formula;

S.D(X) = √[ (ⁿ∑_[tex]_{i=1}[/tex] ([tex]X_{i}[/tex] - X")²) / n ]

= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / 24 ]

= √[ 1957.333 / 24 )

S.D(X) = 9.03  

Note, the point of estimate of the variance population is biased estimate.

The unbiased point estimate of oxide thickness for all wafers in the population will be;

S.D(X) = √[ (ⁿ∑_[tex]_{i=1}[/tex] ([tex]X_{i}[/tex] - X")²) / (n-1) ]

= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / (24-1) ]

= √[ 1957.333 / 23 )

S.D(X) = 9.225 ≈ 9.23

Therefore, point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23

c) the standard error  

SE (X") = S.D / √n

since the standard deviation is the unbiased estimate for the population, so;

SE (X") = 9.23 / √24

SE (X") = 1.884 ≈ 1.88

Therefore, the standard error of the point estimate from part (a) is 1.88

Answer:

the answer is 9.4

Step-by-step explanation:

We get that formula is:

d=[tex]\sqrt{(9-4)^{2} +(7--1)^{2} }=\sqrt{89}=9.4339[/tex]

Answer:

B

Step-by-step explanation:

because B is 8/20 and it's not equivalent to 40/100

Answer:

Step-by-step explanation:

f(30) = 0.40×30 = $12

Running the computer for 30 days will cost $12 in electricity.

Answer:

1 2/3

Step-by-step explanation:

convert to improper fraction:

13/3 - 8/3

then solve:

13/3 - 8/3 = 5/3

convert back to a mixed number (unless your not supposed to, if that is the case then "5/3" is your answer):

"1 2/3" is "5/3" as a mixed number.

so your answer (as a mixed number) is:

"1 2/3"

Answer:

Step-by-step explanation:

A. She can cut 4 pieces that are 8.25 feet each.   This uses all 33 feet of ribbon with no waste.

B. She can cut 5 pieces that are 6.6 feet each.   This uses all 33 feet of ribbon with no waste.

C. She can cut 4 pieces that are 8 feet each.   This adds up to 32 feet, and so 1 ft is wasted

D. She can cut 5 pieces that are 6.75 feet each.  Not possible, as this adds up to 33.75 ft, which is more ribbon than Betty has.

Answer:

3/4 is greater

Step-by-step explanation:

3/4 > 6/10

Answer:

3/4 is more

Step-by-step explanation:

divide 6/10 by 2 to get a simpler fraction. that will be 3/5. to make 3/5 and 3/4 have a common denominator you need to multiply 3/5 by 4 which is 12/20, then 3/4 by 5 which is 15/20.

Answer:

40.50

Step-by-step explanation:

you take 600.00 and multiply it by 2.25 you will get 1,350 divide 1,350 by 100 you will get 13.50 multiply 13.50 times 3 you get 40.50 that is interest for 3 years

Answer:

6 im pretty sure

Step-by-step explanation:

...

Answer:

A) At α = 0.05, reject the null hypothesis.

Step-by-step explanation:

Given a p-test value of 0.0436 ;

P-value = 0.0436

Recall :

Decision region :

Reject Null if p value < α

Testing the options :

A) At α = 0.05,

0.0436 < 0.05 (true)

Since p value < α ; Reject the null hypothesis.

B) At α = 0.10,

0.0436 < 0.1

True conclusion is to reject the Null Hypothesis

Hence, option B is incorrect.

C) At α = 0.025, reject the null hypothesis.

0.0436 > 0.025

True conclusion is ; Fail to reject the Null ;

Hence, option C is incorrect

D) At α = 0.05, accept the null hypothesis.

0.0436 < 0.05

True conclusion is ; reject the Null

Hence, option D is incorrect

Answer:

x=-2 y=4

the line hits both -2 on the x asis and 4 on the y

2 L + 2 W = 580

W = L - 30

2( L - 30) + 2 L =580

2L - 60 + 2 L =580

4 L = 640

L = 160

W = 160-30= 130

160 × 2 + 130 × 2 = 580