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What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP

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Answer 1

Answer:

-5

Step-by-step explanation:

-4x +10 =5(x +11)

-4x +10 =5x +55

-4x - 5x =55 - 10

-9x =45

x=-45 :9

x=-5

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Caitlin earns money as a lifeguard and as a pet sitter. In one week, she earned $25 pet sitting. The total amount of money she earned that week was less than $75. The inequality g + 25 less-than 75 represents g, the possible amount of money she made as a lifeguard.

Answers

Answer:

I actually needed help with the answer but now I think about it the answer is answer C. $50

Step-by-step explanation:

Answer:

I think that it is B. 49.99

Step-by-step explanation:

A random sample of size 100 was taken from a population. A 94% confidence interval to estimate the mean of the population was computed based on the sample data. The confidence interval for the mean is: (107.62,129.75). What is the z-value that was used in the computation. Round your z-value to 2 decimal places.

Answers

Answer: 1.88

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\mu\ \pm z_(\alpha/2)(\sigma)/(√(n))$

Given : Significance level : $1-0.94=0.06$

Critical value : $z_(\alpha/2)=z_(0.06/2)=z_(0.03)$

By using the standard normal distribution table for z, we find the critical value of $z_(0.03)$ corresponds to the p-value 0.03.

$z_(0.03)=1.8807936\approx1.88$

Hence, the z-value that was used in the computation must be 1.88 .

Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time it takes to produce the product using the new machine is significantly less than the production time using the old machine. To test the claim, independent random samples were taken from both machines. You are given the following results.New Machine Old Machine
Sample Mean 25 23
Sample Variance 27 7.56
Sample Size 45 36
As the statistical advisor to Ajax, would you recommend purchasing Allied's machine? Explain.

Answers

Answer:

z(s) is in the acceptance region. We accept H₀ we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

Step-by-step explanation:

We must evaluate the differences of the means of the two machines, to do so, we will assume a CI of 95%, and as the interest is to find out if the new machine has better performance ( machine has a bigger efficiency or the new machine produces more units per unit of time than the old one) the test will be a one tail-test (to the left).

New machine

Sample mean x₁ = 25

Sample variance s₁ = 27

Sample size n₁ = 45

Old machine

Sample mean x₂ = 23

Sample variance s₂ = 7,56

Sample size n₂ = 36

Test Hypothesis:

Null hypothesis H₀ x₂ - x₁ = d = 0

Alternative hypothesis Hₐ x₂ - x₁ < 0

CI = 90 % ⇒ α = 10 % α = 0,1 z(c) = - 1,28

To calculate z(s)

z(s) = ( x₂ - x₁ ) / √s₁² / n₁ + s₂² / n₂

s₁ = 27 ⇒ s₁² = 729

n₁ = 45 ⇒ s₁² / n₁ = 16,2

s₂ = 7,56 ⇒ s₂² = 57,15

n₂ = 36 ⇒ s₂² / n₂ = 1,5876

√s₁² / n₁ + s₂² / n₂ = √ 16,2 + 1.5876 = 4,2175

z(s) = (23 - 25 )/4,2175

z(s) = - 0,4742

Comparing z(s) and z(c)

|z(s)| < | z(c)|

z(s) is in the acceptance region. We accept H₀ we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

The very hight dispersion of values s₁ = 27 is evidence of frecuent values quite far from the mean

The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document Interpreting Your GRE Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE are (approximately) normally distributed with mean 462 points and standard deviation 119 points. (6 p.) (a) Obtain and interpret the quartiles for these scores. (b) Find and interpret the 99th percentile for these scores

Answers

Answer:

(a) The first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

The second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

The third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

(b) The 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

Step-by-step explanation:

The first, second the third quartile are the values that let a probability of 0.25, 0.5 and 0.75 on the left tail respectively.

So, to find the first quartile, we need to find the z-score for which:

P(Z<z) = 0.25

using the normal table, z is equal to: -0.67

So, the value x equal to the first quartile is:

$z=(x-m)/(s)\n x=z*s +m\nx =-0.67*119 + 462\nx=382.27$

Then, the first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

At the same way, the z-score for the second quartile is 0, so:

$x=0*119+462\nx=462$

So, the second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

Finally, the z-score for the third quartile is 0.67, so:

$x=z*s +m\nx =0.67*119 + 462\nx=541.73$

So, the third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

Additionally, the z-score for the 99th percentile is the z-score for which:

P(Z<z) = 0.99

z = 2.33

So, the 99th percentile is calculated as:

$x=z*s +m\nx =2.33*119 + 462\nx=739.27$

So, the 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

X^2-10x+y^2-20y=-125 what is x+y=?

Answers

The value of x + y from the equation $x^2-10x+y^2-20y=-125$ is 15

The equation is given as:

$x^2-10x+y^2-20y=-125$

Add 125 to both sides of the equation

$x^2-10x+y^2-20y+125 = 0$

Express 125 as 100 + 25

$x^2-10x+y^2-20y+100 +25 = 0$

Rewrite the equation as:

$x^2-10x +25+y^2-20y+100 = 0$

Group the expressions

$[x^2-10x +25]+[y^2-20y+100 ]= 0$

Express the expressions in both groups as perfect squares

$(x - 5)^2+(y - 10)^2= 0$

Possible equations from the above equation is:

$(x - 5)^2= 0$ and $(y - 10)^2= 0$

Take the square roots of both sides

$x - 5= 0$ and $y - 10= 0$

Solve for x and y in the above equations

$x = 5$ and $y =10$

So, we have:

$x + y = 5 + 10$

$x + y = 15$

Hence, the value of x + y is 15

Read more about quadratic functions at:

brainly.com/question/1214333

8x + 4y= 12
2x+ y= 3

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are you suppose to find x or y? or both?

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What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP​

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What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP