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bazaltina [42]
3 years ago
9

4b - a if a=2 b=4 find its answer

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

14

Step-by-step explanation:

if b=4 and a=2, then you substitute both those values into the equation, turning (4b - a) into (4*4 - 2), then you use order of operations, meaning you multiply the 4 times the 4, which turns it into 16-2, and then subtract 2 to finally reach your answer of 14.

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Am I correct? Just check please
creativ13 [48]

Answer:

Yes..You are

Step-by-step explanation:

|Wow! Nice Job! Even though Absolute value is EXTREMELy EASY you probably aced the test!

6 0
3 years ago
What is the solution for the system of equations? Use the substitution method to solve.
Paraphin [41]
Y = 5 - 3x....so sub in 5 - 3x for y in the other equation

5x - 4y = -3
5x - 4(5 - 3x) = -3.....distribute the -4 thru the parenthesis
5x - 20 + 12x = -3...add 20 to both sides
5x + 12x = -3 + 20...combine like terms
17x = 17...divide both sides by 17
x = 17/17
x = 1

now sub 1 in for x into either of the original equations to find y
y = 5 - 3x
y = 5 - 3(1)
y = 5 - 3
y = 2

check...
5x - 4y = -3
5(1) - 4(2) = -3
5 - 8 = -3
-3 = -3 (correct)

so ur solution is (1,2)
3 0
3 years ago
8. Noah rides his motorcycle 90 miles in 2 hours 30 minutes. What is his average speed in
Nookie1986 [14]

Hey there! I'm happy to help!

We see that Noah rides his motorcycle 90 miles is 2 hours and 30 minutes, which is 150 minutes. We want to find his mph. To find this his mph, we want to find how far he has gone in one hour.

How much bigger is 150 than 60?

150/60=2.5

150 is 2.5 times bigger than 60. This means that we need to divide 90 by 2.5 to figure out how far Noah rode in 1 hour.

90/2.5=36

Therefore, Noah's average speed is 36 mph.

Have a wonderful day! :D

6 0
3 years ago
Center ( 9,-8 ), passes through ( 19,22 )
katovenus [111]
Center at (h,k) and radius r is
(x-h)²+(y-k)²=r²

so given
center at (9,-8)

(x-9)²+(y-(-8))²=r²
(x-9)²+(y+8)²=r²

input the point (19,22) to find r²
x=19 and y=22
(19-9)²+(22+8)²=r²
10²+30²=r²
100+900=r²
1000=r²
10√10=r

well, the equation is
(x-9)²+(y+8)²=1000
6 0
4 years ago
An NBA fan named Mark claims that there are more fouls called on his team 1 point
inn [45]

Answer:

t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551    

df = n-1=34-1=33

p_v =P(t_{(33)}>2.551)=0.008  

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

Step-by-step explanation:

Information provided

\bar X=12.2 represent the sample mean fould against

s=1.6 represent the sample standard deviation

n=34 sample size  

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)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is higher than 11.5 fouls per game:  

Null hypothesis:\mu \leq 11.5  

Alternative hypothesis:\mu > 11.5  

The statistic is given by:

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

The statistic is given by:

t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551    

P value

The degreed of freedom are given by:

df = n-1=34-1=33

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

p_v =P(t_{(33)}>2.551)=0.008  

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

7 0
3 years ago
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