based on historical data, your manager believes that 31% of the company's orders come from first-time customers. a random sample of 179 orders will be used to estimate the proportion of first-time-customers. what is the probability that the sample proportion is greater than than 0.24?

Answer:

24 Inch

Step-by-step explanation:

When the square piece of metal is cut along the diagonal, it forms two right triangles where each of the right triangle has legs of 17 inches.

To determine the length of the hypotenuse, we use the Pythagorean Theorem.

\(\text{Pythagoras Theorem}: Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=17^2+17^2\\Hypotenuse^2=289+289\\Hypotenuse^2=578\\Hypotenuse=\sqrt{578} \\=24.04\\\approx 24$ inch ( to the nearest tenth of an inch)\)

Answer:

24 square inches

Step-by-step explanation:

The location of the x value of R' after using the translation rule is 28

The translation rule is given as:

(x + 4, y - 7)

The pre-image of R is located at (24, -13)

Rewrite as

R = (24, -13)

When the translation rule is applied, we have:

R' = (24 + 4, -13 - 7)

Evaluate

R' = (28, -20)

Remove the y coordinate

R'x = 28

Hence, the location of the x value of R' after using the translation rule is 28

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Answer:

Part A: \(l = 60\), Part B: \(b = \frac{9\sqrt{2}}{2}\)

Step-by-step explanation:

The Pythagorean Theorem determines the length of the hypotenuse of right triangle (\(r\)) by means of following formula:

\(r^{2} = x^{2}+y^{2}\) (1)

Where \(x\), \(y\) are respective lengths of each leg.

Now we proceed to solve on each triangle:

Part A: (\(r = l\), \(x = y = 30\sqrt{2}\))

\(l^{2} = (30\sqrt{2})^{2}+(30\sqrt{2})^{2}\)

\(l^{2} = 3600\)

\(l = 60\)

Part B: (\(r = 9\), \(x = b\), \(y = \frac{9\sqrt{2}}{2}\))

\(9^{2} = b^{2}+\left(\frac{9\sqrt{2}}{2} \right)^{2}\)

\(81 = b^{2}+\frac{81}{2}\)

\(b^{2} = \frac{81}{2}\)

\(b = \frac{9\sqrt{2}}{2}\)

The 95% confidence interval for average amount its credit card customers spent is $39.424, $61.576.

How to calculate the confidence interval?

Confidence interval is the mean or average of the estimate value minus or plus the variation in the same estimate value.

n = 15

μ = $50.50

σ = \(\sqrt{400}\) = 20

α = 1 - 95% = 0.05

df = n - 1 = 15 - 1 = 14

Since, there are only 15 samples in the question. we will use t-distribution,

Confidence interval = CI = μ ± \(t_{df,\alpha }\)\(\frac{\sigma}{\sqrt{n}}\)

= 50.50 ± \(t_{14,0.05}\)\(\frac{20}{\sqrt{15}}\)

= 50.50 ± (2.145)(5.164)

= 50.50 ± 11.076

= (39.424, 61.576)

Thus, the 95% confidence interval for average amount its credit card customers spent is $39.424, $61.576.

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Answer:

-15

Step-by-step explanation:

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

Answer:

180

Step-by-step explanation:

36, 72, 108, 144, 180

90, 180

Have a great day!

Stay safe!

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Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

Answer:

\( \boxed{f(10) \: is \: 70}\)

Step-by-step explanation:

\(f(x) = { - x}^{2} - 3x\)

Find f(10) ?

\(f(x) = { - x}^{2} - 3x\)

Substitute x = 10

\(f(10) = { (- 10})^{2} - 3(10)\)

\(f(10) = 100 - 30\)

\(f(10) = 70\)

__________________________

Answer:

She will need to save $300 every month for the next six years to cover first year cost

Step-by-step explanation:

24600-3000 = $21600

6*12=72 months

21600/72= $300

Answer:

300÷71=4.22

Step-by-step explanation:

divide 300 by 71

Answer:

Option A ( 86 Degrees)

Step-by-step explanation:

To convert Celsius to Fahrenheit formula is:

\(F = \frac{9}{5} C + 32\)

\(F = \frac{9}{5} 30 + 32\)

\(F = 54 + 32\)

\(F = 86 Degree\)

Answer:

Equilateral

Step-by-step explanation:

It is Equilateral because all sides have the same number of lines(1) telling us that all sides are the same :)

Have a wonderful day!!

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The type of sampling plan used in tests of controls to estimate an occurrence rate is attributes sampling.

Attributes sampling is a statistical sampling technique used in auditing and quality control to evaluate the occurrence rate of specific attributes or characteristics within a population. It is commonly employed when testing internal controls to determine whether they are operating effectively.

In tests of controls, the objective is to estimate the occurrence rate of a specific attribute or condition, such as the percentage of transactions with errors or the proportion of items that meet a particular quality standard. Attributes sampling involves selecting a sample from the population and then evaluating the selected items for the presence or absence of the attribute of interest. The results from the sample are then extrapolated to estimate the occurrence rate for the entire population.

The complete question is:

The type of sampling plan used in tests of controls to estimate an occurrence rate include ______ sampling.

1. discovery sampling

2. attributes sampling

3. None of above

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Answer:

x = -47/6

y=-47

Step-by-step explanation:

Answer:

they are all equivilent

Step-by-step explanation:

Answer:

B. 0.8, 0.80, 0.800

Step-by-step explanation:

9514 1404 393

Answer:

  6.  A

  7.  C

  8.  E

Step-by-step explanation:

6. If s is the number of programs sold for $0.45 each, then the contribution to Devon's pay (p) from selling programs is 0.45s. The per-game pay is added to that to give Devon's total pay:

  p = 0.45s + 40 . . . . . matches choice A

__

7. If Robert earns $25 per hour for x hours in tips, his tip pay is 25x. The flat rate is added to that to give the amount Robert makes:

  y = 25x + 40 . . . . . matches choice C

__

8. The graph of a proportional relationship is a straight line through the origin. This description matches B and C only, choice E.

Answer:

yah for some reason i cant find it

Answer:

sssssssssssssss

Step-by-step explanation:

Answer:

The new volume is 81.2% of the prior, this is true for any for any values of radius and height, as long as they are changed as stated.

Step-by-step explanation:

The volume of a cylinder is given by:

\(V = \pi*r^2*h\)

If we increase the diameter by 15%, then the radius is increased by 7.5% and the new radius is:

\(r_{new} = 1.075*r\)

If we decrease the height by 30%, then the new height is 70% of the prior and is given by:

\(h_{new} = 0.7*h\)

Applying to the volume formula we have:

\(V_{new} = pi*(r_{new})^2*h_{new}\)

\(V_{new} = \pi*(1.075*r)^2*0.7*h\\V_{new} = 1.16*0.7*\pi*r^2*h\\V_{new} = 0.812*\pi*r^2*h\\V_{new} = 0.812*V\)

The new volume is 81.2% of the prior, this is true for any for any values of radius and height, as long as they are changed as stated.

The probability of getting at least 2 defective chips out of 8 is 0.0061, or about 0.61%

To solve this problem, we need to use the binomial distribution formula, which is:

P(X = k) = nCk * p^k * (1-p)^(n-k)

Where:
- P(X = k) is the probability of getting k successes
- n is the total number of trials (in this case, n = 8)
- k is the number of successes we're interested in (at least 2, so we need to calculate P(X = 2) + P(X = 3) + ... + P(X = 8))
- p is the probability of getting success on one trial (in this case, p = 0.01)

So let's calculate each term:

P(X = 2) = 8C2 * 0.01^2 * (1-0.01)^(8-2) = 0.0059
P(X = 3) = 8C3 * 0.01^3 * (1-0.01)^(8-3) = 0.0002
P(X = 4) = 8C4 * 0.01^4 * (1-0.01)^(8-4) = 0.0000
P(X = 5) = 8C5 * 0.01^5 * (1-0.01)^(8-5) = 0.0000
P(X = 6) = 8C6 * 0.01^6 * (1-0.01)^(8-6) = 0.0000
P(X = 7) = 8C7 * 0.01^7 * (1-0.01)^(8-7) = 0.0000
P(X = 8) = 8C8 * 0.01^8 * (1-0.01)^(8-8) = 0.0000

Now we can add up all the probabilities:

P(at least 2 defective chips) = P(X = 2) + P(X = 3) + ... + P(X = 8) = 0.0061

So the probability of getting at least 2 defective chips out of 8 is 0.0061, or about 0.61%. This is a relatively small probability, but it's not impossible, so the manufacturer should still take measures to minimize the number of defective chips produced.

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Answer:

1) given

2) reflexive

3) converse isosceles triangle thm

4) isosceles triangle thereom

5)CPCT

Step-by-step explanation:

Answer:

I filled it in for you. Hope it helps xx

there is a 5% probability of rejecting a false null hypothesis and hence c is correct option

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.

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The property used is Division property of equality to get the resulting equation since we divided both sides by 3

Given the inequality expression

3 (−13 x − 23) ≥ 3(7x + 3)

We are to know which of the property is used to arrive at  − 13 x − 23 ≥ 7x + 3

We can see that both sides of the expression were divided by 3 as shown:

\(\frac{3(-13x-23)}{3} \geq \frac{3(7x+3)}{3}\\-13x-23 \geq 7x+3\\\)

From the division, we will see that the property used is Division property of equality to get the resulting equation since we divided both sides by 3

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The following statements are true:

Segment DEF is parallel to ABC

The line segment  AB is parallel to DE

Line FC is parallel to AD

the line that is skewed to DE is BC

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)

Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;

DEF is parallel to ABC

CADF is parallel to CBEF

For the lines, the lines that are parallel to each other are:

AD is parallel to BE

AB is parallel to DE

FC is parallel to AD

Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC

The missing image is attached with the answer below.

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Answer:

The answer is 75

Step-by-step explanation:

3/8*200=75.

Step-by-step explanation:

7 dollars + .0825 tax = 7 .58

  leaving $1.92 max tip ( out of 9.50 to spend)

                           ( this is a 27% tip on your purchase....more than adequate)

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Answer:B

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

Given:

The rental fee for a bike is $4 plus $1.50 per hour.

To Find:

What is the total cost to rent a bike for 4 hours?

Solve:

Since it given that $4 plus $1.50 per hour

then

$1.50 × $4 = $6

$4 + $6 = $10

Check Answer:

First we have to set up a equation.

We can use:

Format: y=mx+b

Which,

y is total cost

m is per hour

b is starting cost

Equation: y=1.5x+4

10=1.5x+4

Subtract 4 both sides

1.5x = 6

Divide 6 by 1.5

x = 4

Hence, the total cost to rent a bike for 4 hours is $10.

Kavinsky