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zepelin [54]
3 years ago
15

Can I get the answer please. If you get it right, the reward is a BRAINLIEST

Mathematics
1 answer:
liraira [26]3 years ago
7 0

Answer:

66.75m

Step-by-step explanation:

Area of Triangle: 4.5m

\frac{bh}{2}

height is 4.5m

base is 2m

overall height is 10m so 10-3.5-5= height of triangle

overall base is 10.75m so 10.75-3.25-2.5-3= base of triangle

Area of the smallest rectangle: 13.5m

base is 3m (provided)

height is 4.5m (same as triangle)

Area of the medium sized rectangle: 16.25m

base is 2.5m (provided)

height is 6.5

overall height is 10m so 10-3.5= the height of this rectangle

Area of largest rectangle: 32.5

base is 3.25m (provided)

heigh is 10m (provided)

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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
HELP ASAP!!!!<br> Given (x, y ) = (5, 15). Find tan θ.
Darina [25.2K]
<span>tan θ is defined as the opposite/adjacent side to the angle in a triangle

in this case you have a triangle which forms from (0,0) to (5,0) and (5,15), with </span><span>θ at (0,0)

-> your x coordinate is the adjacent side, and y the opposite
</span>
<span>tan θ=opposite/adjacent=y/x=15/5=3</span>
8 0
3 years ago
Explain why molecules do not have electric charges
Tomtit [17]
Because, the total number of electrons is equal to the number of protons.
6 0
3 years ago
Suppose n(U) = 150, n(A) = 35, and n(B) = 89.<br> (a) If n(A U B) = 90, find n(A n B).
avanturin [10]

Answer:

34

first of all use formula:

n(AUB)=n(A)+n(B)-n(AnB)

4 0
3 years ago
PL has endpoints P(4, −6) and L(−2, 1).
masya89 [10]
I believe it'd be the one with the smiley emoji
6 0
3 years ago
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