The graph shows the proportional relationship between time spent filling a pool, x, and the amount of water in the pool, y.

What does the point (5, 100) represent? At ____ minutes, there are _____ gallons of water in the pool.

Answer: 467 inches and 1185 centimeters

Step-by-step explanation:

1. Divide by 10 to find centimeters

2. Divide by 25.4 and round to find inches

0.957 < p < 0983 is a 90% confidence interval for the proportion of mp3 players from the population that pass all tests

.Given :

a random sample of 500 mp3 players, 15 failed one or more tests.

no of passed mp3 players = 500-15 =485

p  = 485/500 =0.97

q = 1-p = 1-0.97 =0.03

90% confidence interval.

1- [tex]\alpha[/tex] = 90%

[tex]\alpha = 0.1[/tex]

[tex]Z_{\alpha/2}[/tex] = [tex]z_{.05} =1.645[/tex]

[tex]\hat{p} -[/tex] [tex]Z_{\alpha/2}[/tex][tex]\sqrt{\frac{\hat p \hat q}{n} }[/tex]< p< [tex]\hat{p} +[/tex] [tex]Z_{\alpha/2}[/tex][tex]\sqrt{\frac{\hat p \hat q}{n} }[/tex]

0.957 < p < 0983

To learn more about confidence interval.  refer,

https://brainly.com/question/15712887

#SPJ4

A 90% confidence interval for the percentage of mp3 players in the population that pass all tests is 0.957 < p <0983.

To obtain this confidence interval, add and subtract the margin of error from the sample mean. This result represents the upper and lower bounds of the confidence interval.

If the level of confidence is 90%, we can be 90% confident that the interval contains the population mean. The corresponding z-score is 1.645.

The sample mean (X) and, if relevant, the population standard deviation must be known in order to compute a confidence interval. The sample standard deviation, s, can be used in place of the population standard deviation when the sample size is greater than 30.

According to the given information

15 out of 500 mp3 players in a random sample failed one or more tests.

MP3 players that have been passed: 500-15 = 485

p = 485/500 =0.97

q = 1-p = 1-0.97 =0.03

Confidence interval of 90%.

[tex]1-\alpha[/tex] = 90%

[tex]\alpha[/tex] = 0.1

[tex]Z_{\frac{\alpha }{2} } = Z_{.05} = 1.645[/tex]

[tex]p-Z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }[/tex]<p<[tex]p+Z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }[/tex]

0.957 < p < 0983

A 90% confidence interval for the percentage of mp3 players in the population that pass all tests is 0.957 < p <0983.

To know more about Confidence Interval

https://brainly.com/question/24131141

#SPJ4

time was the population increasing most rapidly. At rate is the number of fruit flies increasing after days A. 600 B. 600 C. t=0 D. 0.09

The equation 600/(1+Me-0.3t) is a model for the population of Drosophila fruit flies, with time representing the number of days the experiment has gone on for. A. The population of fruit flies in the beginning is given by the equation as 600. B. The limiting number of fruit flies is also given by the equation as 600. C. The population is increasing most rapidly when t=0. D. After days, the number of fruit flies is increasing at a rate of 0.09, which can be calculated by taking the derivative of the equation with respect to t.

Learn more about time here

https://brainly.com/question/28050940

#SPJ4

Answer:

To find out how many tiles Ellis will need, we first need to find the total area of the extension that she plans to build. To do this, we can find the area of each of the three sides of the extension separately and then add them together.The extension will have a length of 6.25 m and a width of 1.5 m, so its area will be 6.25 m * 1.5 m = 9.375 m^2.There will be three sides of the extension, so the total area of the extension will be 3 * 9.375 m^2 = 28.125 m^2.Each tile has an area of 0.25 m * 0.25 m = 0.0625 m^2.Therefore, Ellis will need a total of 28.125 m^2 / 0.0625 m^2 = 448 tiles. Since each package contains 25 tiles, she will need to buy 448 tiles / 25 tiles/package = 18 packages of tiles.

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

The cost of 12 tulips in the first shop (£29.40) is cheaper than the second shop (£33.60).

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

2 bloom shops sell tulips at various costs as displayed underneath.

£9.80 for 4 tulips and £4.20 every now 1/3 off.

The cost of the 12 tulips in the first shop, then we have

⇒ (£9.80 / 4) x 12

⇒ £2.45 x 12

⇒ £29.40

The cost of the 12 tulips in the second shop, then we have

⇒ £4.20 x 12 x (1 - 1/3)

⇒ £50.40 x 2/3

⇒ £33.60

The cost of 12 tulips in the first shop (£29.40) is cheaper than the second shop (£33.60).

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:sorry i just need some poinpoint

Step-by-step explanation:

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

x ≤ -12

Step-by-step explanation:

We solve for x by dividing both sides by 1/4:

[tex]1/4x\leq -3\\x\leq -12[/tex]

Thus, the two sentences you need to have two words from your work bank are (1) "divide" both sides by 1/4 and (2) x is "less than or equal to" -12

The value of m in the diagram is 18°

What is a right-angle?

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life.

From the diagram, the two angles sum up to 90°

∠WZX + ∠XZY = ∠WZY

3m + 3 + 33 = 90

3m + 36 = 90

3m = 90 - 36

3m = 54

m = 54/3

m = 18°

In conclusion the value of m is 18°

Learn more about right-angles: https://brainly.com/question/24323420

#SPJ1

Answer:  Those both would be 21 with work ....

Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

To know more about hypothesis here

https://brainly.com/question/14517618

#SPJ4

F distribution is used with the global test of the regression model to reject the null hypothesis.

The hypothesis test will be conducted using a novel distribution. After the English statistician Sir Ronald Fisher, it is known as the F distribution. A ratio, the F statistic is (a fraction). One set of degrees of freedom is for the denominator, and the other set is for the numerator.

According to the null hypothesis, all group population means are equal. Because it is assumed that the populations are normal and that they have similar variances, the equal means hypothesis indicates that the populations have the same normal distribution. All groups are samples from populations with the same normal distribution, according to the null hypothesis. According to the alternative theory, at least two of the sample groups are drawn from populations with various normal distributions.

To learn more about the null hypothesis, visit:

https://brainly.com/question/29588905

#SPJ4

The probability of getting two odd numbers is 1/2*1/2 = 1/4.

Making the standard assumptions (unbiased die, faces numbered 1-6), there are three odd numbers per die (1, 3 and 5), so the probability of getting an odd number on a die is 3/6 = 1/2, and the probability of getting two odd numbers is 1/2*1/2 = 1/4.

To learn more about binomial probability   refer,

https://brainly.com/question/9325204

#SPJ4

1/2*1/2 = 1/4 is the likelihood of receiving two odd numbers.

When an experiment has just two possible results, binomial probability can be used to calculate the likelihood of each outcome (success and failure).

In a binomial circumstance, there are only two outcomes that can occur on each try. Depending on what you want, you may declare one of the possibilities a failure and the other a success. Anything less than a 6 is a failure, whereas a 6 is a triumph.

A binomial experiment is a statistical test that has the following features: The experiment consists of n repeated repetitions. Each experiment has only two possible outcomes. One of these outcomes is known as a success, while the other is known as a failure.

According to the given information

The probability of receiving an odd number on a die is 3/6 = 1/2 and the likelihood of getting two odd numbers is 1/2*1/2 = 1/4 under the usual assumptions (unbiased die, faces numbered 1-6). There are three odd numbers per die (1, 3 and 5).

To know more about Binomial Probability

https://brainly.com/question/29350029

#SPJ4

Apply the Binomial Probability Distribution, The Answer is 0.044.

The discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome is known as the binomial distribution with parameters n and p in probability theory and statistics.

The required formula is:

[tex]P(x)= C(n,x) p^{x}q^{n-x}[/tex]

n=10

x=8

p(8)= [tex]C(10,8) * 0.5 ^ {8} *0.5 ^{2}[/tex]

=0.044

To learn more about Binomial Probability Distribution visit:

https://brainly.com/question/29664850

#SPJ4

Answer:

147+64=c

Step-by-step explanation:

you would add the two numbers together to get the original.

Answer:

A. [tex] {5}^{7} [/tex]

B. [tex] ( { - 7})^{5} [/tex]

C. [tex] {3}^{9} [/tex]

D. [tex] {27}^{2} [/tex]

E. [tex] ({ - 2})^{9} [/tex]

F. [tex] {3}^{14} [/tex]

G. [tex] {( - 4)}^{14} [/tex]

H. [tex] {2}^{8} [/tex]

I. [tex] {(0.25)}^{5} [/tex]

J. [tex] {7}^{6} [/tex]

Step-by-step explanation:

A.

[tex] {5}^{3} \times {5}^{4} \\ = {5}^{3 + 4} \\ = {5}^{7} [/tex]

B.

[tex]( { - 7})^{2} \times ( { - 7})^{3} \\ = ( { - 7})^{2 + 3} \\ = ( { - 7})^{5} [/tex]

C.

[tex] {3}^{6} \times {3}^{3} \\ = {3}^{6 + 3} \\ = {3}^{9} [/tex]

D.

[tex] {27}^{0} \times {27}^{2} \\ = {27}^{0 + 2} \\ = {27}^{2} [/tex]

E.

[tex]( { - 2})^{2} \times ( { - 2})^{3} \times ( { - 2})^{4} \\ = ( { - 2})^{2 + 3 + 4} \\ = ({ - 2})^{9} [/tex]

F.

[tex] {3}^{4} \times {9}^{2} \times ( { - 3})^{6} \\ = {3}^{4} \times {3}^{2 \times 2} \times {3}^{6} \\ = {3}^{4} \times {3}^{4} \times {3}^{6} \\ = {3}^{4 + 4 + 6} \\ = {3}^{14} [/tex]

G.

[tex] {( - 4)}^{6} \times {( - 4)}^{5} \times {( - 4)}^{3} \\ = {( - 4)}^{6 + 5 + 3} \\ = {( - 4)}^{14} [/tex]

H.

[tex] ( - 8) \times ( - 8) \times {2}^{2} \\ = 8 \times 8 \times {2}^{2} \\ = {2}^{3} \times {2}^{3} \times {2}^{2} \\ = {2}^{3 + 3 + 2} \\ = {2}^{8} [/tex]

I.

[tex] 0.25 \times {(0.25)}^{4} \times {(0.25)}^{0} \\ = {(0.25)}^{1} \times {(0.25)}^{4} \times {(0.25)}^{0} \\ = \times {(0.25)}^{1+4+0} \\ = \times {(0.25)}^{5} [/tex]

J.

[tex] {7}^{3} \times {7}^{2} \times 7 \\ = {7}^{3} \times {7}^{2} \times {7}^{1} \\ = {7}^{3+2+1} \\ = {7}^{6} [/tex]

Prior to performing the clustering analysis, we choose the value for k. In a cluster analysis, the distance between the clusters should be minimized.

K-means clustering is an unsupervised machine learning technique used to identify clusters of data points. Before performing the clustering analysis, we must first choose the value of k (the number of clusters we wish to identify). The cluster analysis will then attempt to find the k clusters by minimizing the distances between the data points in each cluster. Once the clusters have been identified, the distance between them should be minimized to ensure that the clusters are as distinct as possible.

Learn more about analysis here

https://brainly.com/question/11954701

#SPJ4

Answer:

i have done this mano time ago, but problaply the answer is x=3

On solving the provided question, from the information we can say that this is a example of Research and development (R&D).

Research and development (R&D) refers to the knowledge a business accumulates to create new items or discover innovative ways to enhance current goods and services. Before using their products or processes for commercial purposes, large corporations may have their own R&D teams that test and improve them.

Research and development (R&D) refers to the processes businesses use to innovate and launch new goods and services. It is frequently the initial stage of the development process. Typically, the objective is to expand the company's revenue while introducing a new good or service to the market.

This is an example of  Research and development (R&D)

To know more about Research and development visit:

https://brainly.com/question/2933518

#SPJ4

Answer:

5 cms

Step-by-step explanation:

This is assuming that it is equilateral and that n is the length of one side

This is an example of Systematic sampling.

Here we are drawing out every fifth invoice from the file available. Hence here we create an order where every fifth item is selected.

Hence this is called systematic sampling.

This is a type of probability sampling. In this method, samples are selected by the researcher at regular intervals.

This type of sampling is most suitable when we want to conduct a sampling method similar to simple random sampling but the list of population is unknown to us. However, this can also be used when the list of the same is available to us.

Another important condition is the order os the population, i.e ow it is spread must be random and not in some particular order or sample. Else the reult obtained will lose its credibility.

To know more about sampling visit

https://brainly.com/question/28807640

#SPJ4

Answer: D

Step-by-step explanation:

Drawing a straight line between the two x's would give the line bisecting MN.

The angle of x in the triangle is 30 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

In other words, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

Therefore, the value of x can be found using the exterior angle theorem as follows:

x + 45 = 2x + 15

x - 2x = 15 - 45

- x  = - 30

divide both sides by - 1

Therefore,

x = 30

learn more on angles here: https://brainly.com/question/28835566

#SPJ1

A Increment value in a loop can be either a positive or a negative number.

Positive Increment: A positive increment is when the value of the loop increases on each iteration.

Negative Increment: A negative increment is when the value of the loop decreases on each iteration.

In a step value, the counter variable is either an increment or a decrement every time the loop is executed. If the counter variable is decreased, it can go as low as a negative number, whereas with an increment, the counter variable can be either negative or positive with each loop executed increased.

To learn more about loops, visit:

brainly.com/question/14390367

#SPJ4

The required value of the coefficient of x is given as 12.

A simplified value of the coefficient of x is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,

In order to simplify the given expression add the like terms first,
8x-3+4x + 3 = 180
x + 4x - 3 + 3 = 180
12x = 180

Thus, the needed coefficient of x value is provided as 12.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

The number of cups that will be in 3 gallons is 48 cups.

It is important to note that ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Based on the information, the number of cups won a gallons will be:

= 64 / 4

= 16 cups.

Therefore, the cups that will be in 3 gallons will be:

= 3 × 16. cups

= 48 cups.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

Answer:

a. t = 0.35c + 2

b. 44

Step-by-step explanation:

since it is $0.35 per copy, we would put 0.35c (c represents copies)

and t is the total cost, or what we're adding to

0.35c = t

since there is an addition of a service fee (which is $2), we add that

Final Result : 0.35c + 2 = t