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3 years ago

1. Multiply: (3x - 6)(2x + 7)

Mathematics

2 answers:

kati45 [8]3 years ago

5 0

A. the answer is 6x^2+9x-42

Soloha48 [4]3 years ago

3 0

(3x-6)(2x+7)6x^2 +21x -12x - 42
"6x^2 +9x -42" is your final answer for 1. (so pick A)
2. is a duplicate, so also pick A

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What is the sin inverse of (sine 9pi/7)?

Sveta_85 [38]

For the answer to the question above, I've used my calculator to inverse your given equation because my brain can't do that.
The answer to your question is
In radians, arcsin(sin(9π) / 7) = 0.
i hope my answer helped you.

7 0

3 years ago

Find the midpoint of the line segment with end coordinates of:

Arisa [49]

Answer:

The midpoint of this line segment is (-1.5, -4.5).

Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

-2 -1

x-coordinate of midpoint = --------- = -3/2 = -1.5

-4 -5

y-coordinate of midpoint = ---------- = -4.5

The midpoint of this line segment is (-1.5, -4.5).

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2 years ago

Nathaly lost 29 cups of sugar by accidentally spilling it all over the floor after she cleaned it up,she asked her neighbor she

Taya2010 [7]

She needs 3 3/4 cups more

Step-by-step explanation:

(I think you accidently put the 18 3/4 part twice) but anyways if you add 3/4 and 1/2 you get 1 and 1/4 that will be important later then you do 18 + 6 = 24 and then add your 1 and 1/4 to get a total of 25 1/4 then you just minus that from 29 and get 3 and 3/4

Hope this Helps!

7 0

2 years ago

Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon

leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

= -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

= 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0

3 years ago

Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number

lapo4ka [179]

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

8 0

2 years ago