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Aloiza [94]
3 years ago
12

Is it a function? explain

Mathematics
1 answer:
algol133 years ago
5 0

Answer:

no

Step-by-step explanation:

I say that because one input is supposed to have only one output but (1,4)

(1,2) they have one input but two different outputs so it is not a function

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-a(n)=-5+6(n-1) find the 12th term
mamaluj [8]

Answer:

  61

Step-by-step explanation:

Put 12 where n is, then do the arithmetic.

  a(12) = -5 +6(12-1) = 61

_____

We assume you didn't really mean to show an equation for -a(n). If you did, then the term you want is -61.

8 0
3 years ago
What is the answer to this problem -2x – 4 < 3x + 21
horsena [70]

Start with

-2x-4 < 3x+21

Add 2x to both sides:

-4 < 5x+21

Subtract 21 from both sides:

-25 < 5x

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

-5 < x

So, the answer is x > -5


6 0
3 years ago
Given <br><br> A. 88<br> B. 64<br> C. 92<br> D. 52
victus00 [196]
Maybe 88 not sure that is the givin
5 0
3 years ago
The mean throwing distance of a football for a Marco, a high school freshman quarterback, is 40 yards, with a standard deviation
Phoenix [80]

Answer:

a) One-tailed t-test about a mean.

b) The null hypothesis would be that there is no significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

While the alternative hypothesis is that there is significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

Mathematically,

The null hypothesis is represented as

H₀: μ ≤ 40 yards

The alternative hypothesis is given as

Hₐ: μ > 40 yards

c) p-value = 0.00621

d) The graph is presented in the attached image. The p-value obtained is less than the significance level at which the test was performed, hence, we accept the alternative hypothesis and say that there is significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

Step-by-step explanation:

a) This test checks if the adjusted grip leads to more distance than before on the ball throws.

So, it is a one tailed test (testing only in one direction), a t-test about a mean.

b) For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

Since this question aims to test if adjusting the grip leads to more distance on the ball thrown.

The null hypothesis would be that there is no significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball. That is, The adjusted grip leads to a distance lesser than or equal to the previous distance on the thrown ball.

While the alternative hypothesis is that there is significant evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

Mathematically,

The null hypothesis is represented as

H₀: μ ≤ 40 yards

The alternative hypothesis is given as

Hₐ: μ > 40 yards

c) To do this test, we will use the z-distribution because there is information on the population standard deviation.

So, we compute the test statistic

z = (x - μ₀)/σ

x = 45 yards

μ₀ = 40 yards

σ = standard deviation = 2 yards

z = (45 - 40)/2 = 2.50

The p-value for a one-tailed test for z-test statistic of 2.50 is 0.00621

d) The sketch of the graph is presented in the attached image.

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.00621

0.00621 < 0.05

Hence,

p-value < significance level

This means that we reject the null hypothesis & accept the alternative hypothesis and say that there is enough evidence to conclude that the adjusted grip leads to more distance on the thrown ball.

Hope this Helps!!!

5 0
3 years ago
Leader is a stockbroker 14% commission each week last week she said $7200 worth of stocks how much did she make last week interm
Feliz [49]

Answer:

$1,008 weekly,  $52,416 annually

Step-by-step explanation:

14% of $7200 is 7200 multiplied by .14 (% is decimal multiplied by 100)

.14 of 7200 = 1008

Since you specified the year, I'm going to assume that you need the annual salary based on the weekly salary that she gets from commissions.

$1008 per week, 52 weeks in a year

52 * 1008 = $52416, her commission in 2011

4 0
3 years ago
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