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3 years ago

If q(x)=7x^2-1 find q(-9)

Mathematics

1 answer:

liq [111]3 years ago

3 0

For this, we are just going to plug in -9 for every x and then solve the equation:

$q(x)=7x^{2} -1$

$q(-9)=7(-9)^{2} -1$

$q(-9)=7(81)-1$

$q(-9)=566$

Now we know that q(-9) is equal to 566.

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Hat is the percent of decrease on an item that went from $25 to $20?

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Your answer is 20% :)

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A random sample of 25 glass sheets is obtained and their thicknesses are measured. The sample mean is x= 3.54 mm and sample stan

lisabon 2012 [21]

Answer: (3.46, 3.62)

Step-by-step explanation:

The formula to find the confidence interval for population mean is given :-

$\overline{x}\ \pm\ t_{\alpha/2}\dfrac{s}{\sqrt{n}}$

, where n = sample size.

$t_{\alpha/2}$ = Two-tailed t-value for significance level of $(\alpha)$ and degree of freedom df= n-1.

$s$ = sample standard deviation.

As per given , we have

$\overline{x}= 3.54$ mm

s= 0.20 mm

n= 25

Significance level $=\alpha=1-0.95=0.05$

Since population standard deviation is not given , it means the given problem has t- distribution.

Two-tailed t-value for significance level of $(0.05)$ and degree of freedom df= 24:

$t_{\alpha/2\ ,df}=t_{0.025,\ 24}=2.0639$

95% Confidence interval for population mean:

$3.54\ \pm\ (2.0639)\dfrac{0.20}{\sqrt{25}}$

$=3.54\ \pm\ (2.0639)\dfrac{0.20}{5}$

$=3.54\ \pm\ (2.0639)(0.04)$

$=3.54\ \pm\ 0.082556$

$=(3.54- 0.082556,\ 3.54+ 0.082556 )=(3.457444,\ 3.622556)\approx(3.46,\ 3.62)$

Hence, the 95% two-sided confidence interval for the mean glass thickness = (3.46, 3.62)

7 0

3 years ago

Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8. 0 divided

adoni [48]

Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100 and it can be determined by using fraction or percentage.

<h2>Given that,</h2>

Alejandro uses the steps below to convert 5/8 to a percent.

8 divided by 5 = 1.6.,

1.6 = 160 percent

<h3>We have to determine,</h3>

Which best explains Alejandro's error?

<h3>According to the question,</h3>

Alejandro uses the steps below to convert 5/8 to a percent.

8 divided by 5 = 1.6.,

1.6 = 160 percent

The division was computed incorrectly.

The division was completed in the incorrect order. The decimal was moved to the right too many times.

The decimal was moved to the right instead of the left.

Alejandro uses the steps below to convert 5/8 to a percent.

To convert 5/8 into percentages following all the steps given below.

Step1; Firstly 5 is divided by 8,

$= \dfrac{5}{8} \\\\ = 0.625$

Step2; To convert 0.625 into percentage multiplied by 100,

$\rm = 0.625 \times 100\\\\= 62.5 \ percent$

Hence, Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100.

For more details about the Equation refer to the link given below.

brainly.com/question/18187260

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2 years ago

A number x is less than 8 or at least 4.

balandron [24]

Answer:

8>x≥4

Step-by-step explanation:

x cannot be greater than 8 but is greater than or equal to 4

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3 years ago