Every day of the week Sam's

1) In the national park, the ratio of black bears to grizzly bears is 3:1.

Vika [28.1K]

A)
3 : 1
24 : ?
Add the ratio together (3+1=4), Divide the one you know (24 Black bears) by the ratio (24/4=8), the answer equals the amount of the missing value. (?=8)

B)
3 : 1
? : 12
12*3=36 ?=36
The black bear is just 3* bigger than the grizzly bear.

C)
Total =20
Add the ratio together (3+1=4), divide by the total (20/4=5), and then just multiple the ratios by 5.
3 : 1
15 : 5

I hope this helps :)

8 0

3 years ago

Assume a recent sociological report states that university students drink 5.10 alcoholic drinks per week on average, with a stan

Lerok [7]

Answer:

Mean of sampling distribution = 5.10 alcoholic drinks per week

Standard deviation of the sampling distribution = 0.11

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 5.10 alcoholic drinks per week

Standard Deviation, σ = 1.3401

Sample size, n = 150

a) Mean of sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

$\mu_{\bar{x}} = \mu = 5.10$

b) Standard deviation of the sampling distribution

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3401}{\sqrt{150}} = 0.11$

3 0

3 years ago

Find all solutions of the equation. 5 sin x − 82√ = 3 sin x − 72√

Andrei [34K]

Answer:

x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer

Step-by-step explanation:

Add √(82) -3sin(x) to both sides to get ...

2sin(x) = √82 -√72

Now, divide by 2 and find the arcsine:

sin(x) = (√82 -√72)/2

x = arcsin((√82 -√72)/2)

Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.

___

In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.

6 0

3 years ago

Find the unit rate 6 and 2/5 revolutions in 2 and 2/3 in seconds

Makovka662 [10]

Step 1

Convert mixed fractions into fractions

6 2/5 = (6*5)+2) / 5 = 32/5

2 2/3 = (2*3)+2) / 3 = 8/3

Step 2

32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction

Step 2 (A)

Get the reciprocal of the 2nd fraction:

From 8/3 to 3/8

Step 2 (B)

Multiply 1st fraction to the reciprocal of the 2nd fraction

32/5 * 3/8 = (32*3) / (5*8) = 96/40

Step 2 (C)

Simplify the fraction

96/40 divide by 4 will become 24/10

24/10 divide 2 will become 12/5. The simplest fraction of 96/40

The unit rate is 12/5 = 2 2/5 revolutions per second

3 0

3 years ago

In the cookie jar there are 20 cookies. 1/4

stepan [7]

Answer:

15 chocolate chip

Step-by-step explanation:

1/4 of 20 is 5

this means there are 5 peanut butter cookies.

so 20-5= 15

this means there are 15 chocolate chip cookies

hope this helps!

4 0

3 years ago