is (1,3) a solution to this system of equations?
4x + 5y = 19
x + 5y = 16

Answer:

2 isnt the domain

Step-by-step explanation:

Answer:

I think its 6

Step-by-step explanation:

half of 6 is 3

Answer:

Explained below.

Step-by-step explanation:

In this case we need to select a sample of 6 students from the entire statistics class.

(a)

A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.

Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.

So, we can assign unique numbers to each student in the class and use a random number generator to select any six.

(b)

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.  

For instance, consider a study where the researcher first selects a name randomly from the alphabetized order and then follow a fixed pattern of selecting every 10th person from the population.

Suppose there are n students in the class.

And the first student selected is the kth student. Then the remaining five can be selected in a equal interval of k students.

That is, the second student selected will be the 2kth student, the 3rd will be the 3kth, the 4th will be the 4kth, the 5th will be the 5kth and the 6th will be the 6kth.

The sample selected will be a systematic random sample.

(c)

Stratified sampling is a kind of sampling in which whole population is distributed into homogeneous subgroups before one takes a sample. These subgroups are called strata which is mutually exclusive or related.

In this process the population members cannot be excluded.

To select six students we first divide the entire class into 6 subgroups or 6 strata.

Then select one student from each group.

The sample selected will be a stratified random sample.

(d)

Cluster Sampling is a method to randomly select samples from a population that is too enormous for simple random sampling.  

Using cluster sampling, the experimenter distributes the entire population into distinct groups, called clusters.  

Then, a simple random sample of clusters is chosen from the population. Then the experimenter performs the analysis on data from the sampled clusters.

To select a cluster sample, first divided the entire class into various small groups consisting of 2 or 3 students each.

Then select a simple random sample of these groups to select 6 students.

The sample selected will be a cluster sample.

Answer:

The other endpoint of the​ segment is [tex](-18,-7)[/tex].

Step-by-step explanation:

The midpoint of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the following formula:

                                          [tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

where [tex](x_m,y_m)[/tex] = coordinates of the midpoint.

We know that the midpoint is (-15, 2) and an endpoint is (-12, 11). Substituting the information we have gives:

                                         [tex](-15,2)=(\frac{x_1-12}{2}, \frac{y_1+11}{2} )[/tex]

To find [tex]x_1[/tex] we need to solve this equation:

[tex]-15=\frac{x_1-12}{2} \\\\\frac{x_1-12}{2}=-15\\\\\frac{2\left(x_1-12\right)}{2}=2\left(-15\right)\\\\x_1-12=-30\\\\x_1-12+12=-30+12\\\\x_1=-18[/tex]

and to find [tex]y_1[/tex] we need to solve this equation:

[tex]2= \frac{y_1+11}{2} \\\\\frac{y_1+11}{2}=2\\\\\frac{2\left(y_1+11\right)}{2}=2\cdot \:2\\\\y_1+11=4\\\\y_1=-7[/tex]

The other endpoint of the​ segment is [tex](x_1,y_1)=(-18,-7)[/tex].

Answer:

96 feet

Step-by-step explanation:

12 feet × 8 feet = 97 feet

Answer:

72 in³

Step-by-step explanation:

THe volume = area of the base × height

area of the base (trapezoid) = [(8×(12+6)]÷2 = 72

height = 1

then

the volume = ((8×(12+6))÷2)×1 = 72

Answer:

z=-120

Step-by-step explanation:

z\10 = -12

z=-12 x 10

z=-120

Answer:

120

Step-by-step explanation:

z divided by 10 is -12

z is equal to -12 times 10

z equals -120

Answer:

5 yards.

Step-by-step explanation:

5 yards = 180 inches

Answer:

(5/4), (1.3), (1 8/25)

Step-by-step explanation:

5/4 as a decimal is 1.25

1.3 comes next

1 and 8/25 as a decimal is 1.32

1.25 < 1.3 < 1.32

Answer:

5/4 (1.25) , 1.3, 1 8/25 (0.32)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

For a triangle to be rights angled.

It should follow Pythagoras theorem.

Pythagoras theorem states that if sides containing right angle is  a and b

then  is given by

hypotenuse =  [tex]\sqrt{a^2+b^2}[/tex]

As hypotenuse is always the greatest side

Out of the given sides 144m,165m,219m

219 can only be hypotenuse

Thus side containing right angle will be 144m and 165m .

Lets plug these value in formula of Pythagoras theorem

[tex]hypotenuse = \sqrt{144^2 + 165^2} \\hypotenuse = \sqrt{20,736 + 27,225} \\hypotenuse = \sqrt{47961} \\hypotenuse = 219\\[/tex]

As we can see that hypotenuse calculated by us is same as given in problem.

Thus the given triangle is right angled.

Answer:

$20 after the applied coupon

Step-by-step explanation:

The required sale price of the shirt after getting  1/3 off is $20.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
A $30 shirt is marked, "Get 1/3 off.
The sale price of the shirt,
= 30 - 1 / 3×30
= 30 - 10
= $ 20

Thus, the required sale price of the shirt after getting  1/3 off is $20.

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Answer:D

Step-by-step explanation:

It’s a permutation

Answer:

Limit does not exist.

Step-by-step explanation:

From the graph, notice that the limit does not exist, when you move to the right the limit tend to -3 and when you approach from the left your limit approaches 4, therefore since the right and left limit are not equal the limit does not exist.

Answer:

not sure

Step-by-step explanation:

can someone explain?  

Answer:

9

Step-by-step explanation:

For one throw the probability of a miss is 1/2 since there are just two outcomes

Similarly for one throw the probability of a score is 1/2 since there are two outcomes.

Therefore for 8 trials we expect at least for different trials starting from 1

8 miss 0 score

7 miss 1 score

6 miss 2 score

5 miss 3 score

4 miss 4 score

3 miss 5 score

2 miss 6 score

1 miss 7 score

0 miss 8 score

So the number of possible outcomes is 9

And this define by what we call the binomial probability and is defined as

Answer:

C -- It is the difference between limited resources and wants and needs.

Step-by-step explanation:

I've done a lesson on scarcity before.

Plz click the Thanks button!

<Jayla>

It is the difference between limited resources and wants and needs. Reset N.

A government is the system or group of people governing an organized community, generally a state.

Scarcity "refers to the basic fact of life that there exists only a finite amount of human and nonhuman resources which the best technical knowledge is capable of using to produce only limited maximum amounts of each economic good.

In the given  statements.

A. It is a situation in which people cannot pay for goods and services.

B. It is an economic situation where the government has to import items. C. It is the difference between limited resources and wants and needs. Reset N

C describes scarcity.

Hence, It is the difference between limited resources and wants and needs. Reset N.

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Answer:

1+2+2+20=25 yellow pencils

Answer:

26

Step-by-step explanation:

The quotient of 16 and 8 = 16/8 = 2

24 + 2 = 26

Answer:

  16/8 +24

Step-by-step explanation:

The quotient of 16 and 8 is written as ...

  16/8

If we start with this as the first element of the sum then the sum that represents 24 added to this is ...

  16/8 +24

Answer:

1) As the P-value (0.097) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the women's claim that female employees were passed over for management training in favor of their male colleagues.

2) The 95% confidence interval for the population proportion is (0.173, 0.427).

The populations proportion (π=0.4) is included in this confidence interval, so the claim has no enough evidence to be supported.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that female employees were passed over for management training in favor of their male colleagues.

We use the women's part for sample and population proportions.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.4\\\\H_a:\pi<0.4[/tex]

The significance level is 0.05.

The sample has a size n=50 persons.

The sample proportion is p=0.3.

[tex]p=X/n=15/50=0.3[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.4*0.6}{50}}\\\\\\ \sigma_p=\sqrt{0.0048}=0.069[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.3-0.4+0.5/50}{0.069}=\dfrac{-0.09}{0.069}=-1.299[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-1.299)=0.097[/tex]

As the P-value (0.097) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that female employees were passed over for management training in favor of their male colleagues.

b) We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.3.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.3*0.7}{50}}\\\\\\ \sigma_p=\sqrt{0.0042}=0.0648[/tex]

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.96 \cdot 0.0648=0.127[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.3-0.127=0.173\\\\UL=p+z \cdot \sigma_p = 0.3+0.127=0.427[/tex]

The 95% confidence interval for the population proportion is (0.173, 0.427).

The populations proportion (π=0.4) is included in this confidence interval, so the claim has no enough evidence to be supported.

Answer:

  see below

Step-by-step explanation:

A percentage change is computed as follows:

  percent change = ((new value) -(original value))/(original value) × 100%

For your first one, this looks like ...

  percent change = ($25 -$75)/$75 × 100% = (-50/75) × 100% = -0.667×100%

  percent change = -66.7%

__

When there are a lot of similar calculations to do, I like to use a spreadsheet. See below for the other percentage changes (rightmost column).

Answer:

GUI

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Client Server

Answer:

Option (3)

Step-by-step explanation:

From the given figure,

Two triangles ΔABC and ΔDEF are similar.

ΔABC ~ ΔDEF

By the definition of similarity of two triangles, corresponding sides of the similar triangles are in the same ratio.

[tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}[/tex]

Now from this relation,

[tex]\frac{BC}{EF}=\frac{AC}{DF}[/tex]

[tex]\frac{DF}{EF}=\frac{AC}{BC}[/tex]

Therefore, Option (3) will be the correct proportionality statement.

Answer:13

Step-by-step explanation:

g=25-3(4)

25-12

g=13

Hope this helps

Answer: g = 13

Step-by-step explanation:

g = 25 - 3r

g = 25 - 3(4)

g = 25 - 12

g = 13

Answer:

  4/5π

Step-by-step explanation:

30 minutes corresponds to π radians, so 24 minutes is ...

  (24/30)π = 4/5π radians

Answer:

Step-by-step explanation:

Given data;

n = 17

[tex]\sum x =7692[/tex]

[tex]\sum x^2=3685124[/tex]

[tex]\sum y =7656\\\\ \sum xy=3662682[/tex]

Slope:

[tex]\hat B_1=\frac{n \sum xy - \sum x \sum y}{n \sum x^2 - ( \sum x)^2} \\\\=0.96994[/tex]

≅ 0.970

y - intercept :

[tex]\hat B_0 = \frac{\sum y}{n} - \hat B\frac{\sum x}{n} \\\\=11.48178[/tex]

≅ 11.482

a)

Equation :

[tex]\hat y = 11.482+0.970x[/tex]

b)

Predicted wright meter reading

[tex]\hat y = 11.48178+0.96994(563)\\\\=557.558[/tex]

c)Predicted wright meter reading

[tex]\hat y = 11.48178+0.96994(342)\\\\= 343.201[/tex]

Answer:

[tex] (17-14) -1.64 \sqrt{\frac{4.2^2}{30} +\frac{4.2^2}{30}}=1.222[/tex]

[tex] (17-14) +1.64 \sqrt{\frac{4.2^2}{30} +\frac{4.2^2}{30}}=4.778[/tex]

So then we can conclude at 90% of confidence that the difference in the two means is between 1.222 and 4.778 beats per minute

Step-by-step explanation:

For this case we have the following info given:

[tex] \bar X_1 = 17[/tex] sample mean for the first sample

[tex] \bar X_2 = 14[/tex] sample mean for the second sample

[tex]\sigma =4.2[/tex] represent the population deviation

[tex] n_1= n_2 =30[/tex] represent the sample size ofr each case

We can construct the confidence interval for the difference of means with the following formula:

[tex] (\bar X_1 -\bar X_2) \pm z_{\alpha/2} \sqrt{\frac{\sigma^2_1}{n_1} +\frac{\sigma^2_2}{n_2}}[/tex]

And the confidence for this case is 90% or 0.9 so then the significance level is [tex]\alpha=1-0.9=0.1[/tex] and [tex]\alpha/2 =0.05[/tex] the critical value for this case is:

[tex] z_{\alpha/2}=1.64[/tex]

And replacing we got:

[tex] (17-14) -1.64 \sqrt{\frac{4.2^2}{30} +\frac{4.2^2}{30}}=1.222[/tex]

[tex] (17-14) +1.64 \sqrt{\frac{4.2^2}{30} +\frac{4.2^2}{30}}=4.778[/tex]

So then we can conclude at 90% of confidence that the difference in the two means is between 1.222 and 4.778 beats per minute

Answer:

c) A matched-pairs t-interval for a population mean difference

Step-by-step explanation:

Matched-Pairs t-Test. A matched-pairs t-test is used to test whether there is a significant mean difference between two sets of paired data.

A matched pair t test is used for comparison between means of two sets of paired data.

Thus, Option C: A matched-pairs t-interval for a population mean difference. is correct choice.

The selected sample of people will have to give pretest and then training and then post-test and the difference in the scores is recorded.

The researches want to identify the resultant difference so as to identify the effectiveness of the program.

For such type of cases, we use matched pair t test.

A matched pair t test is used to see if there is significant difference between means of two sets of paired data.

By paired data, we mean the data in both set which is paired.

Since the person is same who gives pre and post  test after training, thus the data is paired.

Also since the difference is to be analyzed to check the significance of the reading program, thus matched pair t test is perfect fit here.

Thus, option C: A matched pairs t-interval for a population mean difference is correct option.

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Answer:

64.40$

Step-by-step explanation:

Answer:

3kg = $34.20

34kg= ?

x= (34 x $34.20)/3

x= 1162,80/3

x= $387,60

Answer:

549.8 cm (cubed)

Step-by-step explanation:

D3lt4 m4th 4n$wer

Answer:

y = -3/4x + 7/4

Step-by-step explanation:

For it to be parallel it needs the same slope. We can find this by putting the equation 3x + 4y = 2 into y = mx + b form and using the m.

3x+4y=2 can be written as y= -3/4x + 1/2

so the m for our new equation is -3/4

now to find b we just plug in the given point

y = -3/4x + b

4 = -3/4(3) + b

b = 4 + (-9/4)

b = 7/4 or b = 1.75