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GrogVix [38]
2 years ago
14

3. Multiply: (x + 8)(x - 12) Please show work

Mathematics
2 answers:
alexira [117]2 years ago
5 0

Answer:

{x}^{2}  + 20x + 96

Step-by-step explanation:

(x + 8) \times (x - 12)

➡️ x \times (x + 12) + 8(x - 12)

➡️ {x}^{2}  + 12x + 8x + 96

➡️ {x}^{2}  + 20x + 96

Sedaia [141]2 years ago
4 0

Answer:

x^2-4x-96

Step-by-step explanation:

x^2-12x+8x-96

=x^2-4x-96

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The researchers are concerned that the dollars spent per shopper examined in the study is too different from what has been found
Katarina [22]

Answer:

Step-by-step explanation:

Hello!

To study if the average dollars spend per shopper is different than the expected population average of $84.5 there was a sample of 120 shoppers taken and their spending habit registered.

Then the study variable is:

X: Amount of money spent by a shopper ($)

This population standard deviation is σ= $16

Using the data information I've run a normality test, with p-value: 0.3056 against the test significance level α: 0.05, the decision is to not reject the null hypothesis so there is enough statistical evidence to conclude that the study variable has a normal distribution.

X~N(μ;σ²)

I've also calculated the sample mean and standard deviation:

X[bar]= $81.01

S= $19.62

a.

If the objective is to test that the true mean spending for the population is significantly different than the expected average of 84.5, the parameter of interest is the population mean μ and the hypothesis test will be two-tailed.

H₀: μ = 84.5

H₁: μ ≠ 84.5

α:0.05

The statistic is a standard normal for one sample:

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~N(0;1)

Z_{H_0}= \frac{81.01-84.5}{\frac{16}{\sqrt{120} } } = -2.389

p-value two tailed  0.016894

b.

The decision rule using the p-value method is:

If p-value ≤ α ⇒ Reject the null hypothesis.

If p-value > α ⇒ Do not reject the null hypothesis.

Since the p-value is less than the significance level, the decision is to reject the null hypothesis.

c.

Using a level of significance of 5% the null hypothesis was rejected. So there is enough statistical evidence to support the researcher's claim that the true mean spending for the population is significantly different than the expected average of $84.5.

I hope it helps!

3 0
3 years ago
Geometry, dont need explanation. Just those 3 questions.
Aloiza [94]

Answer:

1. B

2. A

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Step-by-step explanation:

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2 years ago
What is the general form of the equation of the line shown?<br> Ox+y=0<br> Ox-y=0<br> Ox-y=0
mixer [17]

Answer:

x-y=0

Step-by-step explanation:

7 0
3 years ago
Is the simplified form of 2square root of 3 + 3square root of 3 rational?<br> Yes No
mariarad [96]
2 sqrt3 + 3 sqrt3

= 5 sqrt3

Since this contains  the irrational sqrt3  it is irrational
4 0
3 years ago
Read 2 more answers
Bajo del Gualicho has an elevation of - 72 meters. Lago Enriquillo has an elevation of - 46 meters. Note
Harman [31]

Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.

Step-by-step explanation:

Since in this case the "elevations" are negative because are under sea level, we can call it depth.

In this sense, we are given the "elevations" or depths of two places:

Bajo del Gualicho: -72 m

Lago Enriquillo: -46 m

Keeping in mind we are actually talking about the depth of this places, we can  say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

G>E

Where G represents Bajo del Gualicho and E represents Lago Enriquillo.

4 0
3 years ago
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