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2(x – 9) = 10x + 11
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Answer 1

Answer:

Answer:

exact form: -28/8

decimal form: -3.625

mixed number form: -3 5/8

Answer 2

Answer:

Answer:

x = -3.625

Step-by-step explanation:

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A family buys 8 tickets to a show. They also pay a $5parking fee. They spend $61 to see the show.
What is the solution to the story?

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8.25

Answers

Answer:

C. $7.00

Step-by-step explanation:

8 times 7 is 56 + 5 = 61

The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 35 of her dogs, they ran, on the average, 18.7 m/s. Assuming a population standard deviation of 1.5 m/s and a .05 significance level. Required:
Does this sample data provide evidence that the breeder's claim is correct?

Answers

Answer:

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Step-by-step explanation:

Step(i):-

Given the average speed of greyhound dogs is about 18.4 meters per second.

Size of the sample 'n' = 35

mean of the sample x⁻ = 18.7

Population standard deviation = 1.5m/s

level of significance (∝) = 0.05

Step(ii):-

Null hypothesis : H₀ : μ = 18.4

Alternative hypothesis H₁ : μ ≠ 18.4

Test statistic

$Z = (x^(-) - mean)/((S.D)/(√(n) ) )$

$Z = (18.7-18.4)/((1.5)/(√(35) ) )$

Z = 1.183

Conclusion:-

The calculated value Z = 1.183 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

A particular greyhound breeder claims that her dogs are faster than the average greyhound

Final answer:

Evaluate the breeder's claim by using a one-sample z-test. The null hypothesis states that the breeder's dogs aren't faster than average, while the alternative hypothesis states that they're faster. If the calculated Z is greater than Zcritical, it supports the breeder's claim.

Explanation:

In this scenario, you would carry out a one-sample z-test to evaluate the breeder's claim. Given an average speed of greyhounds as 18.4 m/s, the breeder's dogs with an average of 18.7 m/s could be faster or this could just be due to statistical fluctuation. Hence, we need to statistically test it to see if this evidence is strong enough (with a significance level of .05) to support the breeder's claim.

Our null hypothesis (H0) is that the breeder's dogs are not faster than the average greyhound (µ = 18.4 m/s), and our alternative hypothesis (Ha) is that they are faster (µ > 18.4 m/s). Using the Z-test formula:

Z = (Xbar - µ) / (σ/√n)

where Xbar is sample mean, µ is population mean, σ is standard deviation, and 'n' is sample size. Applying the provided figures, we get:

Z= (18.7-18.4)/(1.5/√35)

Give the calculated Z value and compare it to the Z critical value for 0.05 significance level (1.645 for one-tail). If the calculated Z is greater than Zcritical, we reject the null hypothesis, providing evidence that the population mean is greater than 18.4 m/s, supporting the breeder's claim.

Learn more about One-sample z-test here:

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Pls help me with this and show any work

Answers

Answer: 9.5 (D.)

Step-by-step explanation:

SOCAHTOA

the sin of an angle is equal to the opposite side over the hypotenuse.

angle: 32

opposite side: x

hypotenuse: 18 m

1. sin32 = x/18

2. 18(sin32) = x

3. 9.5 = x

if you are confused with how it went from 18(sin32) to 9.5, you can plug 18(sin32) into your calculator.

Which is equivalent to the following expression (3m^2+2mn-n^2)+(m^2+4mn-n^2)

Answers

Based on the available information, the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

How the equivalent expression is determined?

To simplify the expression (3m² + 2mn - n²) + (m² + 4mn - n²), we can combine like terms.

Like terms have the same variables and the same exponents.

Let's group the like terms together:

(3m² + m²) + (2mn + 4mn) + (-n²- n²)

Combining like terms within each group, we get:

4m² + 6mn - 2n²

Therefore, in this case, it is concluded that the expression (3m² + 2mn - n²) + (m² + 4mn - n²) is equivalent to 4m² + 6mn - 2n².

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Answer:

4m² + 6mn - 2n²

Step-by-step explanation:

$(3m^2+2mn-n^2)+(m^2+4mn-n^2)\n\n=3m^2+2mn-n^2+m^2+4mn-n^2\qquad\text{combine like terms}\n\n=(3m^2+m^2)+(2mn+4mn)+(-n^2-n^2)\n\n=\boxed{4m^2+6mn-2n^2}$

Question 3Which is the approximate measure of this angle?

30°

90°

180°

120°

Answers

120° is the correct answer

Here, we can see the angle is larger than the perpendicular (i.e. >90) so, among all the options 120 degree would be Best!

In short, Your Answer would be Option D

Hope this helps!

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