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3 years ago

Find the slope of a line through (-1,1) and (0,4)

Mathematics

1 answer:

Akimi4 [234]3 years ago

5 0

Use the slope formula.

m = slope = (y2 - y1)/(x2 - x1)

m = (4 - 1)/(0 - (-1)) = 3/1 = 3

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Create a verbal expression with the equation 7(2j + 3 + 2j).

mr_godi [17]

Answer:

28j+21

Step-by-step explanation:

remember to isolate the variable. in this case it would be j. after you do that it should be pretty simple

8 0

2 years ago

Bowl A contains 6 apples and 3 mangoes this can be written as, Bowl B contain 8 apples and 2 mangoes this can be written as. Wha

AlexFokin [52]

Answer:

2 apples and 1 mango

Step-by-step explanation:

Bowl A can be written as 6a + 3m

Bowl B can be written as 8a + 2m

The difference between the bown is 2 apples and 1 mango

6 0

3 years ago

Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circl

torisob [31]

Please note that pi has just one value. The only difference stems from round-off error when you don't use all of the digits following "3.14159 ... " to represent the value of pi. The formula for circumference is C = 2 pi r, or C = pi d,
where r=radius and d=diameter.

Circle A: Diameter 9 inches and Circumference of 28.26 inches

If the diameter is 9 inches, then C = 28.26 inches = pi (9 inches). Divide 28.26 inches by 9 inches. Note that you MUST round off the ratio (pi) that you obtain, since 28.26 has 4 significant figures and 9 has just one.

28.26
------- = 3.14, but because 9 has just one significant figure, you must round
9 this 3.14 to just 3.

6 0

3 years ago

Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours. Write an equation to represent the rela

hichkok12 [17]

I’m not sure but this seems right

Y=6.25X

4 0

3 years ago

A recent broadcast of a television show had a 10 share, meaning that among 6000 monitored households with TV sets in use, 10%

Kisachek [45]

Answer:

Null and alternative hypothesis

$H_0: \pi \geq0.25\\\\H_1: \pi$

Test statistic $z=-26.82$

P-value $P=0$

The null hypothesis is rejected.

It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

$H_0: \pi \geq0.25\\\\H_1: \pi$

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

$\sigma_p=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.25(1-25)}{6000} } =0.0056$

The test statistic is calculated as:

$z=\frac{p-\pi+0.5/N}{\sigma_p} =\frac{0.1-0.25+0.5/6000}{0.0056}=\frac{-0.1499}{0.0056} =-26.82$

As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.

Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

3 0

3 years ago