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3 years ago

1. g(x) = x2-1 Parent function

Mathematics

2 answers:

Finger [1]3 years ago

8 0

m=2 thats the answer i think i hope it is but if not i'm sorry

GREYUIT [131]3 years ago

4 0

Answer:

your mom

Step-by-step explanation:

free points;)))))))))))))))))(())(()) use google

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The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batterie

Fittoniya [83]

Answer:

The confidence interval is $25.16 < \mu < 26.85$

Step-by-step explanation:

From the question we are given a data set

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is

$\= x = \frac{\sum x_i}{n}$

where is the sample size with values n = 10

$\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}$

$\= x = 26$

The standard deviation is evaluated as

$\sigma = \sqrt{\frac{\sum (x-\= x)}{n} }$

substituting values

$= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }$

$\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }$

$\sigma = 1.625$

The confidence level is given as 90% hence the level of significance is calculated as

$\alpha = 100 -90$

$\alpha =10$ %

$\alpha = 0.10$

Now the critical values of $\frac{\alpha }{2}$ is obtained from the normal distribution table as

$Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining the critical values of $\frac{\alpha }{2}$ instead of $\alpha$ is because we are considering two tails of the area under the normal curve

The margin of error is evaluated as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 1.645 * \frac{1.625 }{\sqrt{10} }$

$MOE = 0.845$

The 90%, two sided confidence interval is mathematically evaluated as

$\= x - MOE < \mu < \= x + MOE$

$26 - 0.845 < \mu < 26 + 0.845$

$25.16 < \mu < 26.85$

Given that the lower and the upper limit is greater than 25 then we can assure the manufactures that the battery life exceeds 25 hours

5 0

3 years ago

There are 4 pizzas which each have 12 slices. These pizzas will be divided between 15 people. How many slices does each person g

jasenka [17]

<h2><u>Anѕwєr :</u></h2>

48/15 or 3 whole 3/15

<h2><u>Explαnαtion :</u></h2>

There are 4 pizzas and each have 12 slices. So,

→ Number of slices each pizza have = 12 slices

→ Number of slices 12 pizzas have = (12 × 4) slices

→ Number of slices 12 pizzas have = 48 slices

Now, we have to find the number of slices each person get if they are split evenly.

→ Number of people = 15

Let the the number of slices each person get if they are split evenly be x. So,

→ Total number of slices = Number of people × Number of slices each gets

→ 48 = 15x

→ <u>48/15 or 3 whole 3/15 = Number of slices each gets</u>

Therefore, the number of slices each person get if they are split evenly is 48/15.

5 0

2 years ago

Circle the correct words in each of the following statements.Given that x(t) is a real function with the Fourier transform X(f):

Kryger [21]

Answer:

(a) even function

(b) odd function

Step-by-step explanation:

From the given information;

Any function x(t) can be said to be the sum of even and odd functions.

i.e.

$x(t) = x_e(t) + x_o(t)$

where;

x(t) is a real function.

For a real and even function, the Fourier transform is also real and even.

$x_e(t) \iff x_e(f) \\ \\$

Also, the Fourier Transform of a real and odd function is imaginary and odd.

$x_o(t) \iff x_o(f)$

The behavior of X(f) largely depends on the behavior of x(t).

If x(t) is real and even, then x(f) is real and even valued function

Thus, the real part of X(f) is an even function.

If x(t) is real and odd, then x(f) is imaginary and odd valued function

Thus, the imaginary part of X(f) is an odd function.

8 0

2 years ago

Your bank account has a balance of −$12. You deposit $60. What is your new balance?

koban [17]

$\tt{Hey~there!$

$\tt{To~find~out~how~much~money~is~in~the~bank,~add~-12~and~60.$

$\tt{-12+60=48$

$\tt{There~are~\$48~in~the~bank.$

$\boxed{\tt{\$48}}$

$\tt{Hope~this~helps!$

$\boxed{\tt{-TestedHyperr}}$

5 0

2 years ago

Can someone help me? I’ll reward brianalist + points

gregori [183]

Answer:

A , 3

Step-by-step explanation:

25K = 75

k = 75/25, k = 3

6 0

3 years ago