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sergejj [24]
3 years ago
9

The ratio of fishing boats to sailboats in a bay is 8:3. There are a total of 24 sailboats in the bay. How many fishing boats ar

e there in the bay?
Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

The number of fishing boats in the bay = 64.

Step-by-step explanation:

The total number of sailboats  = 24

Let us assume the number if fishing boats in the bay = m

⇒ Ratio of fishing boats to sailboats in a bay =  m  :  24.

Now, the ratio of fishing boats to sailboats in a bay is 8  :  3.

So, by the RATIO OF PROPORTION:

\frac{m}{24}  = \frac{8}{3}  \implies m = \frac{8}{3} \times 24 = 64

⇒  m = 64

Hence the number of fishing boats in the bay = 64.

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A student working on a summer internship in the economic research department of a large corporation studied the relation between
OverLord2011 [107]

Answer:

Step-by-step explanation:

Hello!

Y: sales of a product in a marketing district (million dollars)

X: population in a marketing district (million persons)

The objective is to test if there is a linear association between the sales of a product and the population of a marketing district.

Parameter; Estimated Value; 95 Percent Confidence limits

Intercept          7.43119                -1.18518        16.0476

Slope             0.755048            0.452886       1.05721

a.

To test if there is or not an association between these two variables, you have to do a hypothesis test for the slope. If the slope is equal to zero, there is no linear association between the two variables, if the slope is different from zero, then there is a linear association between the variables.

So the student's hypotheses are:

H₀: β = 0

H₁: β ≠ 0

The data the student used to conclude is the 95%CI for the slope [0.452886;1.05721]

To be able to decide over an hypothesis test using a confidence interval there are several conditions to be met, one of them is that the confidence level and the significance level should be complementary, this means that if the interval was constructed using 1 - α= 0.95, then the hypothesis test should be conducted with a significance level of α= 0.05.

Considering that the value of the slope stated in the null hypothesis is not included in the given interval, i.e. zero is not included in the CI, then the decision is to reject the null hypothesis.

Then it can be concluded that there is a linear association between the sales of a product and the population in a marketing district.

b.

Although in the context of the variables of study it makes no sense that the estimate of the intercept takes negative numbers, keep in mind that mathematically if possible and correct. This means that obtaining a negative estimate of the intercept does not represent a calculation error or problem for the regression model. In general, when this occurs, a footnote is made indicating has no biological meaning or sense in context.

After all, what you have done with the estimate is a mathematical assertion of the social variables.

I hope it helps!

3 0
3 years ago
Cindy is selling circus tickets. On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. On the s
Ivahew [28]

Answer: Children tickets cost 7.50

Adult tickets cost 12.50

Step-by-step explanation:

Let a represent adult tickets

Let c represent child tickets

On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:

6a + 5c = 112.50 ...... equation i

On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:

8a + 4c = 130 ....... equation ii

6a + 5c = 112.50 ...... equation i

8a + 4c = 130 ....... equation ii

Multiply equation i by 4

Multiply equation ii by 5

24a + 20c = 450 ........ equation iii

40a + 20c = 650 ......... equation iv

Subtract iii from iv

16a = 200

a = 200/16

a = 12.50

Adult tickets cost 12.50

From equation ii,

8a + 4c = 130

8(12.50) + 4c = 130

100 + 4c = 130

4c = 130 - 100

4c = 30

c = 30/4

c = 7.50

Children tickets cost 7.50

7 0
3 years ago
PLEASE HELP! BRAINLIEST
nika2105 [10]

Answer:

the answer is 30

Step-by-step explanation:

the mid-segment of a triangle is half of the side that is parallel to it

mid-segment MJ is parallel to line LK

LK is 60, half of 60 is 30

MJ is 30

8 0
3 years ago
Help asap
LenKa [72]
Hello! The answer is 13.5 seconds! I hope this helps :3
5 0
3 years ago
Which polygons have no right angles?
asambeis [7]

Answer:

Rhombus,and pentagon

Step-by-step explanation:

a rhombus has only obtuse or acute angles same with the pentagon.

4 0
3 years ago
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