Somebody help ME pls ty

The difference between two numbers is 5. three times the larger number is equal to four times the smaller number plus 6. what ar

UkoKoshka [18]

Let x and y represent the smaller and larger numbers, respectively.
y - x = 5 . . . . . the difference is 5
3y = 4x + 6 . . 3 times the larger is 4 times the smaller plus 6

Add x to the first equation to get an expression for y.
y = x + 5
Use that in the second equation.
3(x + 5) = 4x + 6
3x + 15 = 4x + 6 . . . . . eliminate parentheses
9 = x . . . . . . . . . . . . . . add -3x-6
y = x+5 = 14

smaller number: 9
larger number: 14

8 0

3 years ago

Easy pls help<br> ..............

Juliette [100K]

C is correct because absolute value cant be negative.

5 0

4 years ago

Read 2 more answers

Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function o

allsm [11]

Answer:

I think it's 40 . I'm not sure

8 0

3 years ago

Which rate can you set 7 miles/1 hour equal to in order to find the distance traveled in 49 hours at 7 miles per hour?

Sergeu [11.5K]

Answer:

you will have traveled 363 miles

Step-by-step explanation:

7 times 49

49

7

____

363

7 0

4 years ago

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A new sales training program has been instituted at a rent-to-own company. Prior to the training, 10 employees were tested on th

Lunna [17]

Answer:

C. H0: µD = 0, HA: µD <0

Step-by-step explanation:

We assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. So for this case is better apply a paired t test.

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation

x=test value for pretest , y = test value for posttest

x: 66, 94, 87, 84, 76, 88

y: 75, 100, 93, 85, 75, 90

The system of hypothesis for this case are:

Null hypothesis: $\mu_D \geq 0$

Alternative hypothesis: $\mu_D < 0$

Because the difference D is defined as Pretest-Postest. And we want to see if the postets score is higher than the pretest with th training.

The first step is calculate the difference $d_i=x_i-y_i$ and we obtain this:

d: -9, -6, -6, -1, 1, -2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{-23}{6}=-3.833$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =3.763$

The 4 step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-3.833 -0}{\frac{3.763}{\sqrt{6}}}=-2.494$

The next step is calculate the degrees of freedom given by:

$df=n-1=6-1=5$

Now we can calculate the p value, since we have a left tailed test the p value is given by:

$p_v =P(t_{(5)}$

The p value is lower than the significance level assumed $\alpha=0.05$ , so then we can conclude that we can reject the null hypothesis. So we can say that the differences between Pretest and Posttest $\mu_{pretest}-\mu_{postest}$ are less than 0.

3 0

3 years ago