1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-Dominant- [34]
3 years ago
5

Divide 32 in the ratio 3:1

Mathematics
1 answer:
Igoryamba3 years ago
3 0
------------------------------------------------
Ratio
------------------------------------------------
3 : 1

------------------------------------------------
Find total parts
------------------------------------------------
3 + 1 = 4

------------------------------------------------
Split the 32 according to the parts
------------------------------------------------
4  parts = 32
1 part = 32 ÷ 4
1 part = 8
 3 part = 8 x 3 = 24

------------------------------------------------
Split the 32 into the ratio
------------------------------------------------
24 : 8

------------------------------------------------
Answer: 24 : 8 
------------------------------------------------
You might be interested in
Tamara needs to buy motor oil to fill the 7 empty cylindrical barrels at her oil service center. Each barrel is 4.5 ft deep and
Lerok [7]

Answer:

addition and multiplication

Step-by-step explanation:

add 4.5 + 1.5 to get 6 ft and then multiply that by 7

6 0
3 years ago
Rewrite 0.169 in expanded form using powers of ten. A) (1×103) + (6×102) + (9×101) B) (1×101) + (6×102) + (9×103) C) (1×10-1) +
lubasha [3.4K]
That would be C....(1 x 10^-1) + (6 x 10^-2) + (9 x 10^-3)
5 0
3 years ago
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are
lidiya [134]

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

H_0: \mu_1 - \mu_2 = 0

H_a: \mu_1 - \mu_2 > 0

In which \mu_1 is the mean pine trees height while \mu_2 is the mean spruce trees height.

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

X = 35 - 30 = 5

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2

s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{5 - 0}{2.4495}

z = 2.04

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

8 0
3 years ago
Find the area. The figure is not drawn to scale. Please show work
Irina-Kira [14]

Answer:

13.8 square feet

Step-by-step explanation:

To find the area of a triangle you use the formula a = 1/2 bh

a = 1/2 (6.9) (4) = 13.8

(simplier to understand) a = 1/2 (6.9) (4) = 27.6 divided by 1/2 = 13.8

6 0
3 years ago
Read 2 more answers
I need help,please.this is an interior angle problem.
natali 33 [55]

Answer:yes

Step-by-step explanation:

<BAC=<BDE

<BCA=BED

4 0
3 years ago
Other questions:
  • When 100 engines are shipped, all of them are free of defects.
    8·1 answer
  • How many solutions does the system of equations below have?<br> y= 3x + 4<br> y+ 6 = 3x
    8·2 answers
  • Question 7 of 12. Step 1 of 1
    6·1 answer
  • Find the slope of the line represented by the data on the picture
    13·1 answer
  • A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years a
    12·2 answers
  • Rewrite the fraction as a decimal. round to 4 decimal places if necessary ​31/9
    15·1 answer
  • Helppp meeee plsssss
    11·1 answer
  • 3x=3x+4 is it no solution
    14·1 answer
  • a box contains 2 red pens 4 yellow pens and 6 blue pens. what is the probability of selecting a yellow pen then without replacin
    12·1 answer
  • Please help me!!!!!!!!!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!