Gabrielle is 5 years older than Mikhail. The sum of their ages is 53 . What is Mikhail's age?

Answers

Answer 1

Answer: Let, the Age of Mikhail = x
Age of Gabrielle = x + 5

It is given that, x + x+ 5 = 53
2x = 53 - 5
x = 48/2
x = 24

In short, Mikhail is 24 years old.

Hope this helps!

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Solve this answer PLEASE ASAP!!
MATH i will reward brainliest! :)

Answers

The answer you’re looking for is -1/2. Good luck! :)

(2/3)/(-4/3) = -0.5 and/or -1/2

Explain why sketching y=sin(x) can help graph y=csc(x)

Answers

The graph of csc x is a parabola with its vertex at the node of the graph of sin x.

y = csc (x) = 1/sin (x)

When you realize that sin (x) is an even function, you can conclude that csc(x) is also even.

Whenyou draw y = sin(x), you will see the zeroes of the function, which are values for which the funcion csc(x) is not defined, but goes to + or - infinity, i.e. you obtain the asymptotes.

You can also realize that the maximums of sin(x) will result in minimums of csc(x).

P (-5, -6), Q (-1, 2), R (4, 4)Scale factor = 2

P' =

Q' =

R' =

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P’(-10,-12) Q’(-2,4) R’(8,8)

How do I do this equation

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This question requires the manipulation of the Ideal Gas formula. By moving the variables around, you'll get :

V = nRT/P

n = PV/RT

g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm )of President 191 180 180 182 197 180 Height (cm )of Main Opponent 166 179 168 183 194 186 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, mu Subscript d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test?

Answers

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the president's height minus their main opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.

Final answer:

The null hypothesis in this case would be that there is no average height advantage for presidents over their main opponents (µd ≤ 0), while the alternative hypothesis is that presidents are taller on average (µd > 0). A paired t-test with a significance level of 0.05 is usually employed in testing these hypotheses using the p-value and t-score.

Explanation:

In hypothesis testing, the goal is to determine the validity of a claim made. In this case, the claim is that the mean difference in height, where the difference is calculated as the president's height minus their main opponent's height, is greater than 0 cm. This represents the theory that taller presidential candidates have an advantage.

For setting up a null hypothesis and an alternative hypothesis, we consider the following parameters:

Null Hypothesis (H₀): There is no height advantage for presidents (µd ≤ 0)
Alternative Hypothesis (Ha): Presidents are taller on average (µd > 0)

To test these hypotheses, we would typically use a one-sample t-test for paired differences with a significance level (alpha) of 0.05. A p-value less than this would allow us to reject the null hypothesis in favor of the alternative hypothesis that presidents are on average taller than their main opponents. Use of p-value and t-score is essential in conducting such a test.

Learn more about Hypothesis Testing here:

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(10x² +34
+ 34x+ 30) = (2x+4)

Answers

Answer:

2 = 0

This equation has no solution.

Step-by-step explanation:

A a non-zero constant never equals zero

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