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Oksanka [162]
3 years ago
14

A rectangle has the width of r+3 and a length of 2r+9. What is the perimeter of the rectangle

Mathematics
2 answers:
VikaD [51]3 years ago
5 0
There are 4 sides to a rectangle and there are 2 sets of parallel sides equal in length. To calculate the perimeter you need to do 2(r+3) + 2(2r+9) which equals 6r+24. Hope this helps.
Alina [70]3 years ago
4 0

Answer:

6r+24

Step-by-step explanation:

2(r+3)=2r+6

2(2r+9)=4r+18

(2r+6)+(4r+18)=6r+24

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An object is traveling at a steady speed of 9 9/10 km/per hour about how long will it take the object to travel 5/1/10 km/per ho
Delicious77 [7]

Answer:

0.52 km

Step-by-step explanation:

We are given that

Speed of object, v=9\frac{9}{10}km/h

Speed of object, v=9+0.9=9.9km/h

Distance travel by object, s=5\frac{1}{10}km

Distance travel by object, s=5+0.1=5.1km

We have to find the time taken by object to travel 5 1/10 km.

We know that

Time=\frac{Distance}{speed}

Using the formula

Time taken by object to travel 5.1 km =\frac{5.1}{9.9} hr

Time taken by object to travel 5.1 km=0.52 hr

8 0
3 years ago
An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and
Maslowich

Answer:

Null hypothesis:\mu_{Visa}=\mu_{Mastercard}

Alternative hypothesis:\mu_{Visa} \neq \mu_{Mastercard}

t=\frac{66970-59060}{\sqrt{\frac{9500^2}{11}+\frac{10000^2}{17}}}}=2.108  

p_v =2*P(t_{26}>2.108)=0.0448

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we can reject the null hypothesis, and a would be a significant difference between the  in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold at 10% of significance .

Step-by-step explanation:

Data given and notation

\bar X_{Visa}=66970 represent the mean for Visa

\bar X_{Mastercard}=59060 represent the mean for the sample Mastercard

s_{Visa}=9500 represent the population standard deviation for Visa

s_{Mastercard}=10000 represent the population standard deviation for Mastercard

n_{Visa}=11 sample size for the group Visa

n_{Mastercard}=17 sample size for the group Mastercard

t would represent the statistic (variable of interest)

\alpha=0.1 significance level provided

Develop the null and alternative hypotheses for this study?

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

Null hypothesis:\mu_{Visa}=\mu_{Mastercard}

Alternative hypothesis:\mu_{Visa} \neq \mu_{Mastercard}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

z=\frac{\bar X_{Visa}-\bar X_{Masterdcard}}{\sqrt{\frac{s^2_{Visa}}{n_{Visa}}+\frac{s^2_{Mastercard}}{n_{Mastercard}}}} (1)

t-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 value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{66970-59060}{\sqrt{\frac{9500^2}{11}+\frac{10000^2}{17}}}}=2.108  

What is the p-value for this hypothesis test?

First we need to calculate the degrees of freedom given by:

df= n_{Visa}+n_{Mastercard}-2 = 11+17-2= 26

Since is a bilateral test the p value would be:

p_v =2*P(t_{26}>2.108)=0.0448

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we can reject the null hypothesis, and a would be a significant difference between the  in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold at 10% of significance .

4 0
3 years ago
Find x <br> Picture Below
Mumz [18]

m∠BEC=(1/2)(mBC + mAD)

110 = (1/2)(x+97)

220 = x+97

x=220 - 97

x= 123⁰

7 0
2 years ago
4 cups servers 12 people how many cups server 4 people
zloy xaker [14]
Your answer should be 3/4 a cup
7 0
2 years ago
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to co
lutik1710 [3]

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

3 0
2 years ago
Read 2 more answers
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