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3 years ago

Describe the transformation?????

Mathematics

1 answer:

azamat3 years ago

4 0

Answer:

That is a counterclockwise rotation of 90 degrees about the origin.

Step-by-step explanation:

Take a point on the figure near to the origin and you can imagine the rotation and how it gets to the image.

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How many outfits can be made from 5 shirts, 3 pairs of pants, and 2 pairs of shoes?

kow [346]

Answer:

Step-by-step explanation:

You probably need shoes for an outfit.

7 0

3 years ago

In Major League Baseball, the American League (AL) allows a designated hitter (DH) to bat in place of the pitcher, but in the Na

IRINA_888 [86]

Answer:

Step-by-step explanation:

The objective is to compute that more runs are scored in games for which DH is used

Let $\mu_1$ denote the population mean number of runs scored for DH group

Let $\mu_2$ denote the population mean number of runs scored for DH group

Let $n_1$ and $n_2$ denote the sample sizes for DH and no DH

From the available information

$n_1=n_2=20$

The population standard deviation of runs score is 2.54 for both the groups.

That is $\sigma _1^2=\sigma_2^2=2.54$

The null hypothesis is $H_0:\mu_1\leq \mu_2$

The alternative hypothesis is $H_1:\mu_1>\mu_2$

Let the level of significance $\alpha =0.10$

Since, the population standard deviation for both the group is known , even though the sample size is less than 30 , use z test

The test statistic is

$z=\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\mu_1^2}{n_1} +\frac{\mu_2^2}{n_2} } }$

The sample mean for the DH group is computed as

$\bar x_1=\frac{1}{n_1} \sum_{i=1}^{n_1}\\\\=\frac{1}{20} (0+6+8+2+2+4+7+7+6+5+1+1+5+4+4+5+7+11+10+0)\\\\=\frac{92}{20}\\\\=4.6$

The sample mean of no DH is computed as

$\bar x_2=\frac{1}{n_2} \sum_{i=1}^{n_1}\\\\=\frac{1}{20} (3+6+2+4+0+5+7+6+1+8+12+4+6+3+4+0+5+2+1+4)\\\\=\frac{83}{20}\\\\=4.15$

The test statistic is

$z=\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\mu_1^2}{n_1} +\frac{\mu_2^2}{n_2} } }$

$=\frac{4.60-4.15}{\sqrt{\frac{2.54^2}{20} +\frac{2.54^2}{20} } } \\\\=\frac{0.45}{\sqrt{0.32258+0.32258} } \\\\=\frac{0.45}{0.803219}\\\\=0.5602$

P-Value

From the alternative hypothesis, it is clear that the test is one tailed test

P-value = P(Z > z)

$1-P(Z\leq z)\\\\1-P(Z\leq 0.5602)$

1 - normsdist (0.5602)

(using excel function "normsdist(z)")

= 1 - 0.7123

= 0.2877

Therefore, the P-Value is 0.2877

Decision Rule

Reject the null hypothesis , if the p-value is less than the level of significance . that is p-value is < 0.10

Here, the p-value is 0.2877 which is greater than the level of significance 0.10

so , fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that more runs scored in games for which DH is used.

6 0

3 years ago

I really need help on these questions, please tell me how to work out speed and velocity and/or answer the question. Thanks!

Anna [14]

Speed is distance divided by time....
xx

6 0

4 years ago

A florist sells bouquets that use Rose's and carnations in a ratio of 2 to 7. she receives a shipment of 343 carnations. how man

REY [17]

Answer: 98 roses

Step-by-step explanation: 2:7 is like x:343

343 divided by 7 is 49, so that is what you multiply 2 by to get the roses. 49 x 2 = 98

4 0

4 years ago

Read 2 more answers

Select the postulate of equality or inequality that is illustrated.

DaniilM [7]

Answer: Transitive Postulate of Inequality (last option)

Explanation:

Let's say we have a vacation where we go from City A, to City B, then to City C. We can use the notation $A \to B \to C$ . If all we cared about was the first and last cities, then we basically say $A \to C$ taking a shortcut so to speak.

This analogy is useful to describe the transitive property.

The equality version is where if we had a = b and b = c, then a = c.

The inequality version is where if we had a < b and b < c, then a < c. In this case, c = 2.

In a sense, its like linking together metal chains. A leads to B which leads to C. So we can just jump from A to C.

It might help to draw out a number line and pick values for a and b like a = 0 and b = 1. That way you can see how a < b, b < c and a < c all tie together.

4 0

4 years ago