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Likurg_2 [28]
3 years ago
7

If a line perpendicular to 2y=x+5 that passes through (2,1) using the slope- intercept form

Mathematics
1 answer:
arlik [135]3 years ago
4 0
Slope of  2y = x + 5:-
This is y = 0.5 x + 2.5  in slope intercept form so its slope = 0.5

Slope of the line perpendicular to it = -1 / 0.5 = -2

it passes through (2 , 1) so we have

y- 1 = -2(x - 2)
y = -2x + 4 + 1

The answer is y = -2x + 5

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A sample of 50 impossible whoppersandwiches have a mean fat content of 37.6g and standard deviation of 4.9g . A sample of 58 reg
cluponka [151]

Answer:

Step-by-step explanation:

H0: μ1____ μ2For Q17(circle one: equal to, <u>less than or equal to</u>, greater than or equal to, not equal to )

H1 : μ1____ μ2For Q18(circle one: equal to, less than, <u>greater than</u>, not equal to )

Formula for calculating the the test:

t = [ (x₁ - x₂) - d ] / sqrt[(s₁²/n₁) + (s₂²/n₂)]

where x₁ = 37.6, x₂ = 39.3, d = 0 assuming equality = 37.6 - 39.3 = -1.7

s₁² = 4.92 = 24.01, s₂² = 2.72 = 7.29, n₁ = 50, n₂ = 58.

thus, t = [ (-1.7) - (0)] / √(24.01/50) + (7.29/58)

    t = (-1.7) / (0.4802 + 0.1257)

   t = -1.7 / 0.6059

   t = -2.8057. = -2.81

P value:

Lets find the degree of freedom:

DF = (s₁²/n₁ + s₂²/n₂)² / { [ (s₁² / n₁)² / (n₁ - 1) ] + [ (s₂² / n₂)² / (n₂ - 1) ] }

DF = (24.01/50 + 7.29/58)² / {[(24.01 / 50)² / 50-1)] + (7.29/58)² / 58-1)]}

DF = (0.4802 + 0.1257)² /{[ (0.4802)²/49] + (0.1257)²/57)]}

DF = (0.6059)²/ (0.00471 + 0.00028)

DF = 0.3671 / 0.00499 = 75.37

Thus, P value = 0.9968 using a t distribution calculator.

Decision/Conclusion: Since the P value 0.9968 is greater than α (.05), Fail to Reject H0, There is not sufficient evidence to warrant the rejection of the claim.

4 0
3 years ago
PLEASE HELP????!!!!?!!!!!!1
anzhelika [568]

Answer:

Solve the resulting equation for x

3 0
2 years ago
How do you divide 22.62/0.058 properly?
Artyom0805 [142]

Answer:

I would use a calculator to solve this.

Step-by-step explanation:

22.62/0.058 = 390

I would recommend using a calculator to save you the time of using long division to solve this problem.

If this answer is correct, please make me Brainliest!

6 0
3 years ago
Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms. The actual measured
White raven [17]

Answer: a) 0.9544996

b) 0.9999366

Step-by-step explanation:

Given : The actual measured resistances of wires produced by company A have a normal probability distribution with mean \mu=0.13 ohm and standard deviation s=0.005 ohm.

Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms.

Let x be the random variable that represents the value of resistance in wires.

Using formula for z-score , z=\dfrac{x-\mu}{s}

The z-value at x= 0.12 will be

z=\dfrac{0.12-0.13}{0.005}=-2

The z-value at x= 0.14 will be

z=\dfrac{0.14-0.13}{0.005}=2

The p-value : P(-2

=0.9772498-(1-P(z

Hence, the probability that a randomly selected wire from company A’s production will meet the specifications = 0.9544996

b) Sample size : n= 4

Using formula for z-score , z=\dfrac{x-\mu}{\dfrac{s}{\sqrt{n}}}

The z-value at x= 0.12 will be

z=\dfrac{0.12-0.13}{\dfrac{.005}{\sqrt{4}}}=-4

The z-value at x= 0.14 will be

z=\dfrac{0.14-0.13}{\dfrac{.005}{\sqrt{4}}}=4

The p-value : P(-4

=0.9999683-(1-P(z

The probability that all four in a randomly selected system will meet the specifications = 0.9999366

3 0
3 years ago
What is the answer to 7(n+4)=21
ICE Princess25 [194]

Answer:

n=-1

Step-by-step explanation:

distribute the 7 to n+4 to get 7n + 28 = 21. subtract 28 from both sides to get 7n = -7. divide both sides by 7 to get n=-1

you could also divide everything by 7 at the beginning to get n+4=3, then subtract 4 from both sides to get n=-1

6 0
2 years ago
Read 2 more answers
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