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2 years ago

Is (2,-1) a solution of y≥2x+5?

Mathematics

1 answer:

Hatshy [7]2 years ago

6 0

Answer:

Not a solution

Step-by-step explanation:

y ≥ 2x + 5

=> Substituting x = 2 and y = -1 in Equation,

=> -1 ≥ 2(2) + 5

=> -1 ≥ 4 + 5

=> -1 ≥ 9 [Not possible]

Therefore, (2,-1) is not a solution of y ≥ 2x + 5

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If 5% of an item is $0.50, what is the original price?

Blababa [14]

Answer:

$10

Step-by-step explanation:

0.05x=0.50

x=10

7 0

3 years ago

A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei

Arte-miy333 [17]

Answer:

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

The null hypothesis is accepted .

Assume the population variances are approximately the same

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

The first sample size 'n₁'= 20

mean of the first sample 'x₁⁻'= 17.53 pounds

standard deviation of first sample S₁ = 3.2 pounds

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

The second sample size n₂ = 24

mean of the second sample "x₂⁻"= 14.89 pounds

standard deviation of second sample S₂ = 2.7 pounds

Null hypothesis:-H₀: The Population Variance are approximately same

Alternatively hypothesis: H₁:The Population Variance are approximately same

Level of significance ∝ =0.05

Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42

Test statistic :-

$t = \frac{x^{-} _{1} - x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }$

where $S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2} }{n_{1} +n_{2} -2}$

$S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}$

substitute values and we get S² = 40.988

$t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24} )}$

t = 1.3622

Calculated value t = 1.3622

Tabulated value 't' = 2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

Conclusion:-

The null hypothesis is accepted

Assume the population variances are approximately the same.

6 0

2 years ago

If kendal payed $2,500 down and $150 each month for dealer one and at another dealer paid $3,000 down and $125 each month after

maxonik [38]

After 20 months. after 20 months the first dealer will cost 5500 and the second dealer will cost 5500
dealer one pays 3000 in monthly fines and 2500 down and dealer 2 pays 2500 in fines and 300 down

6 0

2 years ago

Order from least to greatest 0.5, 1/5, 0.35, 12/25, 4/5

sdas [7]

First change them all into either fractions or decimals. Decimals are probably easier though. 1/5 = 0.2; 12/25 = 0.48; 4/5 = 0.8
Order: 0.2, 0.35, 0.48, 0.5, 0.8
Then you change the decimals that you converted back into the fraction form
Answer: 1/5, 0.35, 12/25, 0.5, 4/5

5 0

2 years ago

Solve in quadratic formula

krek1111 [17]

Answer:

I'm sorry I don't know what that means so I just put the meaing for quadratic formula

Step-by-step explanation:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others

I'm sry that this is not the answer you were probaly looking for but all you said was "Solve in quadratic formula" and theres nothing else so pls if you need to fix that pls do so you can get your answer- Lily~Senpai :P

4 0

2 years ago