A parallelogram has an area of 37.72 m² and a height of 4.6 m. How long is the base of the parallelogram?

Dave rented a limousine for his wife's birthday. The hourly rate is $80. They used the limousine for 4 hours, plus Dave gave the

soldier1979 [14.2K]

He would spend $, he spent $320 for just renting the limousine then spent an extra $32 for the 10% tip

3 0

3 years ago

Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti

olga2289 [7]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

Given the information

4 containers of 4 different colors
1/3 of each color left over
She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However, 8/3 = $2\frac{2}{3}$ > 2 $\frac{1}{2}$

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is: $2\frac{2}{3}$

Hope it will find you well

7 0

2 years ago

Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

2 years ago

Thissss please‍♀️ AND THANK YOUUU

3241004551 [841]

Answer:

5*5*5*5 = 625

3*3*3*3*3*3 = 729

5 0

2 years ago

Which one is greater <br> 0.09 or 0.091

dedylja [7]

Answer:

0.091

Step-by-step explanation:

fill in and make them both thousandths.0.090 and 0.091The second one is larger. 0.091

6 0

2 years ago