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3 years ago

If f(x)=-x^2– 7x – 22, find f(-5). A. -82 B. -32 C. -12 D. 12 E. 38

Mathematics

1 answer:

DaniilM [7]3 years ago

3 0

Answer:

E. 38

Step-by-step explanation:

f(-5) means to plug in -5 for x in the given equation

$f(-5)=(-5)^2-7(-5)-22=25+35-22=38$

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A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall

Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : $\mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7$

Standard deviation : $\sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}$

$=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}$

$=\dfrac{30.265}{10}=3.0265$

The confidence interval for the population mean (for sample size <30) is given by :-

$\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=t_{9,0.025}=2.262$

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

$4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)$

Hence, 95% confidence interval for the true mean= (2.54,6.86)

7 0

4 years ago

Simplify the expression (3 1/4)^2 to demonstrate the power of a power property. Show any intermittent steps that demonstrate how

vichka [17]

Answer:

By property of power of a power:

$(3^{\frac{1}{4}} )^{2}$ = $3^{(\frac{1}{2})}$

Step-by-step explanation:

Given that $(3^{\frac{1}{4}} )^{2}$

The property of power of a power is given by,

= $(a^{b} )^{2}$

= $(a^{b} )\times (a^{b} )$

= $(a^{(b+b)} )$

Using the property of power of a power:

= $(3^{\frac{1}{4}} )^{2}$

= $(3^{\frac{1}{4}} )\times (3^{\frac{1}{4}} )$

= $3^{(\frac{1}{4}+\frac{1}{4})}$

= $3^{(\frac{1}{2})}$

3 0

3 years ago

Please help me with this I will give lots of points

Aneli [31]

Answer:

sorry i cant help i need points sorry

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Work out (4 x 3)² ÷ 6

blondinia [14]

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of (4 x 3)² ÷ 6 is 24.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution of the expression (4 x 3)² ÷ 6 is,

(4 x 3)² ÷ 6

= (12)² ÷ 6

= 144 ÷ 6

= 24

Hence, the solution of (4 x 3)² ÷ 6 is 24.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

6 0

2 years ago

Please help me please

Nadusha1986 [10]

I think A is 2 and B is 3 and C 2

5 0

3 years ago