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2 years ago

BRAINEST TO THE CORRECT ANSWER (50 points)

Mathematics

2 answers:

dmitriy555 [2]2 years ago

3 0

Answer:

(-4, -7)

Step-by-step explanation:

Equation 1: 5g - 2h = -6

Equation 2: 9 = h - 4g

Rewrite equation 2 to make h the subject:

9 = h - 4g

⇒ h = 9 + 4g

Substitute h = 9 + 4g into equation 1 and solve for g:

5g - 2(9 + 4g) = -6

⇒ 5g - 18 - 8g = -6

⇒ -3g = 12

⇒ g = -4

Substitute found value for g into either equation and solve for h:

9 = h - 4(-4)

⇒ 9 = h + 16

⇒ h = -7

Therefore, the correct solution is (-4, -7)

Tim has got the values for g and h mixed up.

Alex2 years ago

3 0

I guess question is incorrect itself.Assumed solution is provided

59=2h-6k--(1)
9k=h-49=>49=h-9k--(2)

Multiply 2 with eq(2)

98=2h-18k--(3)

Subtract eq(3) from (1)

$\\ \tt\hookrightarrow -39=12k$

$\\ \tt\hookrightarrow k=-39/12=-3.2$

Put in eq(2)

$\\ \tt\hookrightarrow 49=h+28.8\implies h=20.2$

(h,k)=(20,2,-3.2)

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Jon and Andy had a total of 560 trading cards. After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trad

Romashka [77]

Answer:

70 cards

Step-by-step explanation:

Let A = the number of Andys cards

J = the number of Jons cards

Jon and Andy had a total of 560 trading cards

A+J = 560

After Jon gave 1/9 of his trading cards to Andy, they has an equal number of trading cards

J - 1/9 J = 1/9 J +A

Combine like terms

8/9 J = 1/9 J +A

Subtract 1/9J from each side

7/9J = A

Substitute this into A +J = 560

7/9J +J = 560

Combine like terms

7/9J +9/9J = 560

16/9 J = 560

Multiply each side by 9/16

9/16 *16/9 J = 560 *9/16

J =315

Jon originally had 315 cards

Now we need to find Andys cards

7/9J = A

7/9 (315) =A

245=A

How many more trading cards did Jon have that Andy in the beginning?

We need to take Jons cards and subtract Andys cards

J-A

315-245

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4 years ago

Which equation represents:

sveticcg [70]

Answer:

Step-by-step explanation:

The first unknown integer will be x. The second one will be y.

x^2 - xy = 100

This is the same one as

x^2 - xy - 100 = 0

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4 years ago

Name three solutions to the inequality. x<7

Gnom [1K]

Answer:

x=anything less than 7

x=5

x=-2

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Step-by-step explanation:

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3 years ago

Which is the best estimate for the quotient of 198.32 ÷ 9.001?

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3 years ago

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From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean leng

alexandr402 [8]

Complete Question

From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean length of bass caught in a small lake. A normal distribution was assumed. Using the 90% confidence interval obtain:

a. A point estimate of $\mu$ and its 90% margin of error.

b. A 95% confidence interval for $\mu$ .

Answer:

$\= x = 13.4$ . $E = 2.3$

$10.7 < \mu < 16.1$

Step-by-step explanation:

From the question we are told that

The sample size is n = 18

The 90% confidence interval is (11.1, 15.7)

Generally the point estimate of $\mu$ is mathematically evaluated as

$\= x = \frac{11.1 + 15.7 }{2}$

=> $\= x = 13.4$

Generally the margin of error is mathematically evaluated as

$E = \frac{15.7 - 11.1}{2 }$

=> $E = 2.3$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the equation for the lower limit of the confidence interval is

$\= x - Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{18} } = 11.1$

=> $13.4 - 0.3877 s = 11.1$

=> $s = 5.932$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * \frac{5.932}{\sqrt{18} }$

=> $E = 2.7$

Generally 95% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $13.4 - 2.7 < \mu < 13.4 + 2.7$

=> $10.7 < \mu < 16.1$

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3 years ago