Which of the following is an even function?

Which equation is represented by the graph below? y=ex y=ex-1 y=In x y=in x-1

Vinil7 [7]

Answer: ex-1

Step-by-step explanation:

The -1 is used to show the parabola

4 0

4 years ago

Boxes of raisins are labeled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is r

ZanzabumX [31]

Answer:

A 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

Step-by-step explanation:

We are given the weights, in the ounces, of a sample of 12 boxes below;

Weights (X): 21.88, 21.76, 22.14, 21.63, 21.81, 22.12, 21.97, 21.57, 21.75, 21.96, 22.20, 21.80.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = $\frac{\sum X}{n}$ = 21.88 ounces

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 0.201 ounces

n = sample of boxes = 12

$\mu$ = population mean weight

Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.796 < $t_1_1$ < 1.796) = 0.90 {As the critical value of t at 11 degrees of

freedom are -1.796 & 1.796 with P = 5%}

P(-1.796 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.796) = 0.90

P( $-1.796 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

90% confidence interval for $\mu$ = [ $\bar X-1.796 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.796 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $21.88-1.796 \times {\frac{0.201}{\sqrt{12} } }$ , $21.88+1.796 \times {\frac{0.201}{\sqrt{12} } }$ ]

= [21.78, 21.98]

Therefore, a 90% confidence interval for the mean weight is [21.78 ounces, 21.98 ounces].

8 0

3 years ago

Jake and amber worm at McDonald's they each earn $8 per hour jake works three more hours then amber if jake and amber made a tot

Nadya [2.5K]

Answer:

9 hours

Step-by-step explanation:

Set up the equations: x is the amount of hours Amber worked and y is the hours Jake worked

8x + 8y = 120

y = 3 + x

Substitute the second equation into the first

8x + 8(3+x) = 120

Distribute

8x + 24 + 8x = 120

Combine like-terms

16x + 24 = 120

Subtract 24 on both sides

16x = 96

Divide 16 on both sides

x = 6 (hours Amber worked)

Plug in this x-value into on of the two equations. I will use the second

y = 3 + 6

y = 9

7 0

4 years ago

Solve for x to the nearest tenth

kumpel [21]

Answer: are there choices?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The 30 min minute lunch period for Grae 2 starts at quarter past twelve. At what time does it end?

NISA [10]

A quarter past 12 is 12:15 and if it’s a 30 minute lunch period then the lunch period would end at 12:45.

4 0

4 years ago