Answer:
b.
Step-by-step explanation:
Here we will show you step-by-step with detailed explanation how to calculate 48 divided by 32 using long division.
Before you continue, note that in the problem 48 divided by 32, the numbers are defined as follows:
48 = dividend
32 = divisor
Step 1:
Start by setting it up with the divisor 32 on the left side and the dividend 48 on the right side like this:
3 2 ⟌ 4 8
Step 2:
The divisor (32) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
3 2 ⟌ 4 8
Step 3:
Multiply the divisor by the result in the previous step (32 x 0 = 0) and write that answer below the dividend.
0
3 2 ⟌ 4 8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
3 2 ⟌ 4 8
- 0
4
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
3 2 ⟌ 4 8
- 0
4 8
Step 6:
The divisor (32) goes into the bottom number (48), 1 time(s). Therefore, put 1 on top:
0 1
3 2 ⟌ 4 8
- 0
4 8
Step 7:
Multiply the divisor by the result in the previous step (32 x 1 = 32) and write that answer at the bottom:
0 1
3 2 ⟌ 4 8
- 0
4 8
3 2
Step 8:
Subtract the result in the previous step from the number written above it. (48 - 32 = 16) and write the answer at the bottom.
0 1
3 2 ⟌ 4 8
- 0
4 8
- 3 2
1 6
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 48 divided by 32 calculated using Long Division is:
1
16 Remainder
Answer:
angle M = 60
angle Q = 70
Step-by-step explanation:
M 180/3 = 60
Q 180-40 = 140/2 = 70
Explanation
The idea is to replace h(x) with 3. Then we isolate x. Follow PEMDAS in reverse to get x by itself.
Here are the steps:
h(x) = -5x+3
3 = -5x+3
-5x+3 = 3
-5x = 3-3
-5x = 0
x = 0/(-5)
x = 0
As a check,
h(x) = -5x+3
h(0) = -5*0 + 3
h(0) = 0 + 3
h(0) = 3
Therefore, the input x = 0 in the domain leads to the output h(x) = 3 in the range. We have confirmed the answer x = 0
Another way to confirm the answer is to use a graphing tool like GeoGebra or Desmos.
Answer:
79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds
We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
What is the probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds?
This is the pvalue of Z when X = 52 subtracted by the pvalue of Z when X = 48. So
X = 52
By the Central Limit Theorem
has a pvalue of 0.8962
X = 48
has a pvalue of 0.1038
0.8962 - 0.1038 = 0.7924
79.24% probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds
What sampling distribution should we use to compute this probability?
We use the sampling distribution of the sample means of size 10 to solve this question, by the Central Limit Theorem. They are normally distributed with mean 50 and standard deviation 1.58.
Using the provided information, it is determined that $6000 was Joyce's total weekly sales.
Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages.
Given:
An insurance agent named Joyce Flynn made a commission of $1,800 in her first week on the job. She receives a 30% commission.
We need to find the total sales for the week.
Let, x = total commission
Since, 30% of total commission is 1800. So, total sales will be:
x = 1800/0.30 = 6000
Therefore, Joyce's total sales for the week is found to be $6000 by using the given data.
Learn more about percentage here:
#SPJ2
centimeter?
Answer:
The radius of a sphere with a volume of 572 cm^3 is 5.15 cm
Step-by-step explanation:
We need to find the radius of a sphere whose volume is: 572 cm^3
The formula used will be:
Putting value of Volume =572 and π=3.14 we can find radius (r) of a sphere.
So, the radius of a sphere with a volume of 572 cm^3 is 5.15 cm
Answer:
its 5.1
Step-by-step explanation: