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4 years ago

Its in the picture below a: 1% decay b: 10% decay c: 9% growth d: 90% growth

Mathematics

1 answer:

Trava [24]4 years ago

6 0

Answer:

b: 10% decay

Step-by-step explanation:

Expressed as a percentage change, the growth is usually the value of the base of the exponential function after 1 has been subtracted. That result is expressed as a percent:

0.9 - 1 = -0.10 = -10% . . . . . 10% decay

_____

The "t/12" exponent means this is the decay that is experienced over 12 units of time. This might be the annual decay, where t is expressed in months, for example.

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Prove the following theorem indirectly. We will give you a start.Prove that a triangle cannot have two right angles. A triangle

nordsb [41]

A triangle can't have two right angles because there is 180° in a triangle. Each right angle is 90° so it would be impossible

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3 years ago

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her liste

Paraphin [41]

Complete Question:

The manager at a sports radio station will be covering several football games over the weekend. She knows that most of her listeners are at least 22 years old and wants to know what age group she should gear her advertisements to for the games. She takes a random sample of 46 listeners from age 22-39 and 57 listeners who are 40 and older and asks them if they are likely to tune in to football games. The "yes" responses are recorded in the file attached below.

1. At the 0.05 level of significance, is there a significant difference in the proportion of listeners based on age?

2. Is there evidence to suggest that there is a significant difference in the proportion of listeners based on age?

Answer:

1) There is no significant difference in the proportion of listeners based on age

2) No, there is no evidence

Step-by-step explanation:

Sample size of group 1, $n_1 = 46$

Sample size of group 2, $n_2 = 57$

Number of Yes in group 1, $X_1 = 32$

Number of Yes in group 2, $X_2 = 47$

Proportion of Yes in group 1:

$\hat{p_1} = \frac{X_1}{n_1} \\\hat{p_1} = \frac{32}{46}\\\hat{p_1} = 0.6957$

Proportion of Yes in group 2:

$\hat{p_2} = \frac{X_2}{n_2} \\\hat{p_2} = \frac{47}{57}\\\hat{p_2} = 0.8246$

Null Hypothesis, $H_0: p_1 = p_2$

Alternate Hypothesis, $H_a: p_1 \neq p_2$

$\hat{p} = \frac{X_1 + X_2}{n_1 + n_2} \\\\\hat{p} = \frac{ 32+47}{46+57} \\\\\hat{p}= 0.767$

Significance level,

Calculate the test statistic

$z = (\hat{p_1} - \hat{p_2})/\sqrt{(\hat{p} * (1-\hat{p}) * (\frac{1}{N_1} + \frac{1}{N_2})}\\\\z = (0.6957-0.8246)/ \sqrt{(0.767*(1-0.767)*(1/46 + 1/57))}\\\\z = -1.54$

Get the P-value from the probability distribution table:

At z = -1.54, P-value = 0.1236

Since (P-value = 0.1236) > (α = 0.05), we will accept the null hypothesis. This means that there is no evidence to suggest that there is difference in the proportion of listeners based on age.

7 0

3 years ago

The coach of a baseball team separates the players into groups for drills.Each group has the same number of players. Is the tota

scZoUnD [109]

Answer:it is composite

Step-by-step explanation:

it is composite because if there is say 60 people on the team and he divided the groups amongst three people in each group then it would be 20 groups now that isn't prime see so it would be the same thing if the basketball coach separates the team into 10 groups and there's 60 people on that team that's not a prime number that would be a composite number so the answer is composite A prime number would be there's eight people in each group and he separates them into a group so that means that They would be 64 people on that team Now the book that I'm looking at right now doesn't tell you the people on that team and how much people there are on that team but it says there is a different amount from The number of teams to the number of people in the team see there's like eight people in the team and there is for groups so that means two people in each group so That means that the answer would have to be composite and not prime hope this helped somebody.

7 0

3 years ago

428 × (-23 ) + (-428 )× (-223)=<br> can you answer it with steps it would be a great help for me

hoa [83]

Answer:

-935160312

Step-by-step explanation:

3 0

3 years ago

Question in attachment

Damm [24]

Answer:

a) scale factor = 1.5

b) d length is 7.5

c) Area scale factor is 2.25

Step-by-step explanation:

Given QR =6

And ST =9

Length Scalar factor = enlarged length /previous length

=9/6

=1.5

Length Scalar factor =1.5

b)we know PS enlarged length of PQ

Length scale factor = PS/PQ

1.5 =PS/5

PS =5×1.5

PS =d =7.5

d length is 7.5

c)Formula :

Area scale factor = (length scale factor)2

=(1.5)2

=2.25

Area scale factor is 2.25

5 0

2 years ago