All categories

3 years ago

Can someone help asap please

Mathematics

1 answer:

Zanzabum3 years ago

7 0

Part A
If 2 inches is 25 miles, then you can set up a ratio to find how many inches 60 miles is.
2 inches equaling 25 miles would be 2:25 in a ratio form of inches:miles.
If miles equals 60, then the ratio would be x:60 in inches:miles.
Since both sides must have the same thing done to them, divide 60 by 25 to see how much miles was multiplied by to get to 60, then multiply inches by that to get x.
60 / 25 = 2.4
2 • 2.4 = 4.8
So the answer to part A is 4.8 inches represent 60 miles.

Part B
You can do the same concept for Part B.
1/4 = 0.25
In a ratio of inches:miles, this would be 0.25:x
Since the original ratio is 2:25, you must figure out how many times 1/4 goes into 2.
2 = 2/1 = 4/2 = 8/4
So 1/4 goes into 2, which can be represented by 8/4, 8 times.
This means 2 was divided by 8 to get 0.25.
Now divide 25 by 8 to get x.
25 / 8 = 3.125
So the answer to part B is 3.125 miles are represented by 1/4 inch.

You might be interested in

In a certain animal species, the probability that a female will have 0, 1, 2, 3, or 4 offspring in a given year is 0.31, 0.21, 0

blsea [12.9K]

Answer:

Step-by-step explanation:

8 0

2 years ago

A triangle with 7,?, and form a right triangle.

Vlad1618 [11]

9514 1404 393

Answer:

C 24

D 25

Step-by-step explanation:

Consider the choices offered:

5 and 7 will not form a triangle* with any of the other lengths

7 and 12 will not form a triangle with any of the other (longer) lengths

7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)

7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.

Further consideration

7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem

The side measures 7, 24, 25 will form a right triangle.

_____

* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.

6 0

3 years ago

Find the dimensions of a rectangle with perimeter 116 m whose area is as large as possible. (if both values are the same number,

creativ13 [48]

The dimensions would be 29 by 29.

To maximize area and minimize perimeter, we make the dimensions as close to equilateral as possible.

Dividing the perimeter by the number of sides, we have

116/4 = 29

This means that both length and width can be 29.

5 0

3 years ago

2, 6, 18, 54. 162,...

grigory [225]

9514 1404 393

Answer:

$\text{c. }f(n)=3f(n-1);f(1)=2$

Step-by-step explanation:

The first term is 2, so part of the recursive definition is ...

f(1) = 2

The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...

f(n) = 3·f(n -1)

These two parts of the definition match choice C.

3 0

3 years ago

According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating

Natali [406]

Answer:

a) Null and alternative hypothesis

$H_0: \mu=32.48\\\\H_a:\mu< 32.48$

b) Test statistic t=-1.565

P-value = 0.0612

NOTE: the sample size is n=65.

c) Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

d) Null and alternative hypothesis

$H_0: \mu=32.48\\\\H_a:\mu< 32.48$

Test statistic t=-1.565

Critical value tc=-1.669

t>tc --> Do not reject H0

Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Then, the null and alternative hypothesis are:

$H_0: \mu=32.48\\\\H_a:\mu< 32.48$

The significance level is 0.05.

The sample has a size n=65.

The sample mean is M=30.15.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{65}}=1.4884$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{30.15-32.48}{1.4884}=\dfrac{-2.33}{1.4884}=-1.565$

The degrees of freedom for this sample size are:

$df=n-1=65-1=64$

This test is a left-tailed test, with 64 degrees of freedom and t=-1.565, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.0612) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Critical value approach

At a significance level of 0.05, for a left-tailed test, with 64 degrees of freedom, the critical value is t=-1.669.

As the test statistic is greater than the critical value, it falls in the acceptance region.

The null hypothesis failed to be rejected.

6 0

2 years ago