What are five different fractions that simplify to two-fifths

Gregory plans to make a kite like the one shown. He has 1,700 square inches of plastic sheeting. Does Gregory have enough plasti

goblinko [34]

I’m sorry i don’t know

3 0

3 years ago

Sketch the graph y=−|x−1|+3 and answer the questions:<br> Does it open upward?<br> Yes or No?

Marina CMI [18]

Answer:

1) Please see the required graph created with Microsoft Excel

2) No

Step-by-step explanation:

The given parameters are;

$y= -\left | x - 1 \right | + 3$

From the given equation, we have;

When x > 4, or x -2 <, y < 0, which gives;

y > 0 for -2 < x < 4

Therefore, the graph is opened in the downward direction with the peak at the point with coordinate (1, 3)

The legs of the graphs are straight lines with slopes = -1, and 1 respectively, before and after the maximum point of the graph

The table of values used to sketch the graph with Microsoft Excel is given as follows;

x ${}$ y

-3 -1

-2 0

-1 1

0 2

1 3

2 2

3 1

4 0

5 -1

4 0

3 years ago

Location is known to affect the number, of a particular item, sold by HEB Pantry. Two different locations, A and B, are selected

12345 [234]

Answer:

d) [-16.03,-3.97]

$-16.03 \leq \mu_A -\mu_B \leq -3.97$ .

Step-by-step explanation:

Notation and previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$n_A=18$ represent the sample of A

$n_B =13$ represent the sample of B

$\bar x_A =39$ represent the mean sample for A

$\bar x_B =49$ represent the mean sample for B

$s_A =8$ represent the sample deviation for A

$s_B =4$ represent the sample deviation for B

$\alpha=0.01$ represent the significance level

Confidence =99% or 0.99

The confidence interval for the difference of means is given by the following formula:

$(\bar X_A -\bar X_B) \pm t_{\alpha/2}\sqrt{(\frac{s^2_A}{n_A}+\frac{s^2_B}{n_B})}$ (1)

The point of estimate for $\mu_A -\mu_B$ is just given by:

$\bar X_A -\bar X_B =39-49=-10$

The appropiate degrees of freedom are $df=n_1+ n_2 -2=18+13-2=29$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,29)".And we see that $t_{\alpha/2}=2.756$