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babymother [125]
2 years ago
10

superman can fly at a rate of 60 miles per 4 minutes. At this rate, how long will it take superman to go from metropolis to goth

am city which is a total of 340 miles
Mathematics
1 answer:
Jlenok [28]2 years ago
3 0
This is a proportion problem involving cross multiplication.
\frac{60}{4}  =  \frac{340}{x}

Now first multiply 340 x 4 which equals 1,360
Now divide that number by 60 to get your X value
Answer is 22.67 minutes or 23 if it needs to be rounded (that depends on your teacher).

You might be interested in
X+8 = 17 - 8 -8 X 1 x=2<br>​
aleksandr82 [10.1K]

Answer: The equation doesn't look right, it's either there's too many symbols or you need to switch some things around.

Step-by-step explanation:

3 0
3 years ago
Please help me answer this, I don't get what I'm supposed to do TvT
kompoz [17]

Answer:

You save 86 cents per pound.

Step-by-step explanation:

According to the given problem, grocery store B charges chicken 5 pounds of chicken for $38.20. Consider finding the unit price:

To find the unit price of any item, do the following calculation:

Total Price / Total amount = $$$ per amount.

The unit price of store b is \frac{38.20}{5}=7.64 . In other words, every pound of chicken costs $7.64 at store b.

For store a, we are provided with a table. Given how the question is being asked, we should <u>expect a higher unit price</u>. We can take any charge to find the unit price since the price should be consistent no matter how many pounds you buy. I will calculate the first row:

\frac{12.75}{1.5}=8.5

In other words, every pound of chicken costs $8.50 at store a. <u>This price is higher</u>. You can verify this is the correct unit price by multiplying the unit price with any amount of pounds provided at the table. You should get the total cost.

So, now that we have both unit prices, we can calculate the difference to find out how much we save per pound when choosing store b:

8.50-7.64=0.86.

6 0
2 years ago
Help me pls, BRAINEST AWARD
Natali [406]

Answer:

x = 3.7

Step-by-step explanation:

By applying sine ratio for the given angle B,

sin(39°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(39°) = \frac{AD}{AB}

0.6293 = \frac{AD}{7}

AD = 4.41

By applying tangent ratio for the given angle C,

tan(50°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

1.19 = \frac{AD}{x}

1.19 = \frac{4.41}{x}

x = 3.7

4 0
3 years ago
Suppose that
natka813 [3]

Answer:

I don’t know

Step-by-step explanation:

6 0
3 years ago
Sarah claims that the thickness of the spearmint gum she produces is 7.5 one-hundredths of an inch. A quality control specialist
satela [25.4K]

Answer:

t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539    

p_v =2*P(t_{(9)}>1.539)=0.158  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis.  

Step-by-step explanation:

Data given and notation  

Data: 7.65, 7.60, 7.65, 7.7, 7.55, 7.55, 7.4, 7.4, 7.5, 7.5

We can begin calculating the sample mean given by:

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

And the sample deviation given by:

s=\sart{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And we got:

\bar X=7.55 represent the sample mean

s=0.103 represent the sample standard deviation

n=10 sample size  

\mu_o =7.5 represent the value that we want to test

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

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 7.5 or no, the system of hypothesis would be:  

Null hypothesis:\mu = 7.5  

Alternative hypothesis:\mu \neq 7.5  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=10-1=9  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(9)}>1.539)=0.158  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis.  

3 0
3 years ago
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