Use an area model to solve 41.8 divided by 22 grade 5

Triangle QRS is transformed as shown on the graph. Which rule describes the transformation?

hjlf

Answer: Ro, 270 degrees

Step-by-step explanation:

When doing rotational transformation, you always rotate counter-clockwise. In this case, the triangle on the top right is the original figure, and the triangle on the bottom left is the image. You can pick any point on the original triangle and compare it to its corresponding point on the image to figure out how it has been transformed.

6 0

3 years ago

Read 2 more answers

PLease help i know its simple i just suck at math 5(3^5+20^2)

gulaghasi [49]

Hey! The answer's 3215.

6 0

3 years ago

A shopper bought a 12 pound bag of orange for $18.72. How much did it cost per pound

creativ13 [48]

Answer:

$1.56 per pound

Step-by-step explanation:

18.72/12 = 1.56

7 0

3 years ago

A bank is trying to determine which model of safe to install. The bank manager believes that each model is equally resistant to

alexandr402 [8]

Answer:

So on this case the 95% confidence interval would be given by (-1.152;5.152).

$-1.152 < \mu_{safe1}-\mu_{safe2}$

Should we conclude that the average time it takes experts to crack the safes does not differ by model at the 5% significance level?

A) Yes, the 95% confidence interval for ?D contains 0.

Step-by-step explanation:

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".

Solution

Let put some notation

x=value for Safe 1 , y = value for Safe 2

x: 103, 90, 64, 120, 104, 92, 145, 106, 76

y: 101, 94, 58, 112, 103, 90, 140, 110, 74

The first step is calculate the difference $d_i=x_i-y_i$ and we obtain this:

d: 2, -4, 6, 8, 1, 2, 5, -4, 2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{18}{9}=2$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =4.093$

The next step is calculate the degrees of freedom given by:

$df=n-1=9-1=8$

Now we need to calculate the critical value on the t distribution with 8 degrees of freedom. The value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , so we need a quantile that accumulates on each tail of the t distribution 0.025 of the area.