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erma4kov [3.2K]
3 years ago
10

1/4 miles to a shoe store. Then you walk another 2/5 miles to a music store. How many miles have you walked in all?

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

Answer:

\frac{13}{20}

Step-by-step explanation:

\frac{1}{4}  +  \frac{2}{5}

First, we need to make the demoninators the same so we times 4 by 5 and whatever we do to the bottom, we do to the top, and 5 by 4.

\frac{ 1 \times 5}{4 \times 5}  +  \frac{2 \times 4}{5 \times 4}

\frac{5}{20}  +  \frac{8}{20}

=  \frac{13}{20}

demoninator now doesn't change unless you're multiplying or dividing.

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Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P.
Harman [31]

Answer:

Square

Step-by-step explanation:

It has four coordinates which means four vertices which is four sides. Can also be a rectangle or parallelogram.

.

3 0
3 years ago
Read 2 more answers
What us the slope of this line
KIM [24]

Answer:

slope = \frac{1}{2}

Step-by-step explanation:

Calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-(-2)}{4-0} = \frac{0+2}{4} = \frac{2}{4} = \frac{1}{2}

6 0
3 years ago
A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi
Luden [163]

Answer:

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

Step-by-step explanation:

Data given and notation

\bar X=3.4 represent the sample mean  

\sigma=0.4 represent the population deviation for the sample

n=50 sample size  

\mu_o =3.3 represent the value that we want to test  

\alpha 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 to be tested  

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

Compute the test statistic  

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-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".  

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

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

6 0
3 years ago
Suppose $886.20 is listed for $5 less. A third catalog has $886.20 marked down 20% ,which is the better deal?
Ipatiy [6.2K]

Answer:

20% of $886.20 is 177.24 so the better deal would be 20% off

Step-by-step explanation:

4 0
3 years ago
Solve 7n + 4 < 9n – 3.
soldier1979 [14.2K]
I hope this helps you

6 0
3 years ago
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