Which phrase is a description of 2m + 7?

The probability it will snow in the next two weeks is 1/12 for this week and 1/4 for next week.

Vilka [71]

Answer:

1/48

Step-by-step explanation:

The probability of both happening is equal to the product of each probability.

P(A and B) = P(A) × P(B)

P = 1/12 × 1/4

P = 1/48

3 0

2 years ago

Which type of transformation or sequence of transformations will map the preimage ∆ABC onto image ∆A'B'C'?

ollegr [7]

The transformation is a reflection with x-axis as the axis of reflection. Reflection is a type of transformation in which the transformed image is simply a mirror image of the original shape over a line or axis of reflection.

3 0

2 years ago

From Statistics and Data Analysis from Elementary to Intermediate by Tamhane and Dunlop, pg 265. A thermostat used in an electri

Leviafan [203]

Answer:

$t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =2*P(t_{(9)}>2.32)=0.0455$

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

Step-by-step explanation:

Information given

data: 202.2 203.4 200.5 202.5 206.3 198.0 203.7 200.8 201.3 199.0

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=201.77$ represent the sample mean

$s=2.41$ represent the sample standard deviation

$n=10$ sample size

$\mu_o =200$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to determine if the true mean is equal to 200, the system of hypothesis are :

Null hypothesis: $\mu = 200$

Alternative hypothesis: $\mu = 200$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic is given by:

$t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =2*P(t_{(9)}>2.32)=0.0455$

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

4 0

2 years ago

Given: Line A R bisects ∠BAC; AB = AC Triangle A B C is shown. Point R is at the middle of the triangle. Lines are drawn from po

Dahasolnce [82]

Answer:

It is SAS

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

How close are a meter and a yard? Convert, 1 meter into yards by using the fact that there are 100 centimeters in a meter, 2.54

Sveta_85 [38]