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4 years ago

(x-3)(x2+2x+7) Simplified

Mathematics

1 answer:

ololo11 [35]4 years ago

6 0

Answer:

x3-x2+x-21

Step-by-step explanation:

x3+2x2+7x-3x2-6x-21

combine like terms

x3-x2+x-21

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How do you write 50679 in expanded form?

evablogger [386]

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

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3 years ago

Read 2 more answers

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katen-ka-za [31]

Answer:

it x=-2(y-7)

Step-by-step explanation:

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3 years ago

Which of the following is true for the interval from 3-5 seconds

kondaur [170]

Answer:

Option C

Step-by-step explanation:

The given function is: $h(t)=-16t^2+80t+108$ .

$h(5)=-16(5)^2+80(5)+108=108$ .

$h(3)=-16(3)^2+80(3)+108=204$ .

The average rate of change of this function on the interval t=3 to t=5 is given by:

$\frac{h(5)-h(3)}{5-3}$

$\frac{204-108}{2}=-48$

Since the average rate of change is negative on the interval 3-5 seconds, it means the ball is moving downwards at an average rate of 48 feet per second.

The correct choice is C.

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3 years ago

What is the percent error made, if Josh measured a turtle's shell to be 5.5 cm long and the real measurement was 6 cm long?

antiseptic1488 [7]

Answer:

Step-by-step explanation:

subtract 6-5.5 to get .5

and then divide .5/6 to get 0.0833

then multiply that quotient by 100 to get percentage

8.33% or 8.3% if you go to the nearest tenth

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3 years ago

Many companies use well-known celebrities as spokespersons in their TV advertisements. A study was conducted to determine whethe

s2008m [1.1K]

Answer:

There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (P-value = 0.01537).

Step-by-step explanation:

<em>The question is incomplete: the picture attached gives the missing sample data.</em>

This is a hypothesis test for the difference between proportions.

The claim that is going to be stated in the alternative hypothesis is that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent. This means that the proportions differ significantly.

Then, the null and alternative hypothesis can be written as:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

The significance level is 0.05.

The sample 1 (Male celebrity), of size n1=150 has a proportion of p1=0.273.

$p_1=X_1/n_1=41/150=0.273$

The sample 2 (Female celebrity), of size n2=150 has a proportion of p2=0.407.

$p_2=X_2/n_2=61/150=0.407$

The difference between proportions is (p1-p2)=-0.133.

$p_d=p_1-p_2=0.273-0.407=-0.133$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{41+61.05}{150+150}=\dfrac{102}{300}=0.34$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.34*0.66}{150}+\dfrac{0.34*0.66}{150}}\\\\\\s_{p1-p2}=\sqrt{0.001496+0.001496}=\sqrt{0.002992}=0.055$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.133-0}{0.055}=\dfrac{-0.133}{0.055}=-2.44$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=2\cdot P(z$

As the P-value (0.01537) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of brand awareness of female TV viewers and the gender of the spokesperson are not independent (the proportions differ).

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3 years ago