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spayn [35]
3 years ago
9

14a²b 7a²b = Simplify

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Step-by-step explanation:

if14a^2b/7a^2b answer is 2

and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b

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Sixty percent of the runners who ran the marathon finished the race. If fifteen runners finished, then how many runners ran in t
ZanzabumX [31]

Let they be x

\\ \rm\Rrightarrow 60\%\: of\:x=15

\\ \rm\Rrightarrow \dfrac{3}{5}x=15

\\ \rm\Rrightarrow x=15\times \dfrac{5}{3}

\\ \rm\Rrightarrow x=5(5)

\\ \rm\Rrightarrow x=25

4 0
2 years ago
Which of the following lines has a negative slope?
Furkat [3]

Answer:

The second option, or the one attached.

Step-by-step explanation:

       This line has a negative slope because the line is going "down the stairs" from the top-left to the bottom-right.

6 0
2 years ago
Read 2 more answers
What does nine + ten equal?
stellarik [79]

Answer:

9 + 10 = 19

Step-by-step explanation:

im guessing your bored too LOL

6 0
2 years ago
Read 2 more answers
-x - y when x = -12 and y =2
kap26 [50]

Answer:

10

Step-by-step explanation:

Negative times a negative is a positive.

so 12-2=10

5 0
3 years ago
Read 2 more answers
Either use technology to find the P-value or use
Akimi4 [234]

Answer:

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

df=n-1=21-1=20  

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

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation  

\bar X represent the mean

s represent the sample standard deviation

n=21 sample size  

\mu_o =140 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t=-0.024 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 for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:  

Null hypothesis:\mu \geq 140  

Alternative hypothesis:\mu < 140  

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

The statistic is given by: t = -0.024

P-value

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

df=n-1=21-1=20  

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

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected \alpah=0.01,0.05,0.1

7 0
3 years ago
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