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2 years ago

Subtract 7x + 4y − 2z from 4x + 2y.

Mathematics

1 answer:

sukhopar [10]2 years ago

7 0

Answer:

-3x-6y-2z

Step-by-step explanation:

(4x - 2y)-(7x+4y-2z) = 4x-2y-7x-4y-2z = -3x-6y-2z

I hope that's the answer.

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A car travels 17 miles on one gallon of gas.

ehidna [41]

Answer:

$y$ ranges from 2890 miles to 5780 miles.

Step-by-step explanation:

Let us call $y$ the number of miles the car travels, and $x$ the number of gallons of gas that are used, then we have the relationship

$y=17x$ <em>(this says the car travels 17 miles for each gallon of gas).</em>

Now, when $x=170$ , we have

$y=17(170)$

$y=2890\: miles$

and when $x=340$ , we have

$y=17(340)$

$y=5780\:miles$

So, when $x$ goes from 170 to 340, $y$ goes from $2890$ to $5780$ .

Therefore, when $x$ ranges from 170 to 340 gallons, the distance traveled ranges from 2890 to 5780 miles.

5 0

2 years ago

Put the following numbers in order from least to greatest: -3.15, 3.3, -3 1/5, -3.3

Bas_tet [7]

-3.15, -3.3,-3 1/5,3.3,

6 0

2 years ago

We're testing the hypothesis that the average boy walks at 18 months of age (H0: p = 18). We assume that the ages at which boys

marusya05 [52]

Answer:

II. This finding is significant for a two-tailed test at .01.

III. This finding is significant for a one-tailed test at .01.

d. II and III only

Step-by-step explanation:

1) Data given and notation

$\bar X=19.2$ represent the battery life sample mean

$\sigma=2.5$ represent the population standard deviation

$n=25$ sample size

$\mu_o =18$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean battery life is equal to 18 or not for parta I and II:

Null hypothesis: $\mu = 18$

Alternative hypothesis: $\mu \neq 18$

And for part III we have a one tailed test with the following hypothesis:

Null hypothesis: $\mu \leq 18$

Alternative hypothesis: $\mu > 18$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{19.2-18}{\frac{2.5}{\sqrt{25}}}=2.4$

4) P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=25-1=24$

Since is a two tailed test for parts I and II, the p value would be:

$p_v =2*P(t_{(24)}>2.4)=0.0245$

And for part III since we have a one right tailed test the p value is:

$p_v =P(t_{(24)}>2.4)=0.0122$

5) Conclusion

I. This finding is significant for a two-tailed test at .05.

Since the $p_v$ . We reject the null hypothesis so we don't have a significant result. FALSE

II. This finding is significant for a two-tailed test at .01.

Since the $p_v >\alpha$ . We FAIL to reject the null hypothesis so we have a significant result. TRUE.

III. This finding is significant for a one-tailed test at .01.

Since the $p_v >\alpha$ . We FAIL to reject the null hypothesis so we have a significant result. TRUE.

So then the correct options is:

d. II and III only

6 0

2 years ago

Select the locations on the number line to plot the points 10/2 and −9/2 .

tresset_1 [31]

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5 -4.5 -4 -3 -2 -1 0 1 2 3 4 5

4 0

2 years ago

Read 2 more answers

A machine at a bakery poured out flour for 4 minutes. At the end of that time, the machine was empty. The graph shows the amount

kykrilka [37]

Answer:

Domain: 0<x<4

Range:0<y<400

The signs should be less than or equal too

Step-by-step explanation:

The signs are less than or equal to

5 0

2 years ago