The finance charge payed by Jamal is $28.43.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Amount borrowed by Jamal for nine months = $316
His monthly payment = $38.27
Total amount payed by Jamal for nine months = [tex]9(38.27)[/tex]
⇒ [tex]\$344.43[/tex]
Thus his finance charge = [tex]344.43-316[/tex]
⇒ [tex]\$28.43[/tex]
Hence we can conclude that the finance charge payed by Jamal is $28.43.
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solve the inequality 3/5x +30>150
Answer:
Step-by-step explanation:
3/5x+30=150
We move all terms to the left:
3/5x+30-(150)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
We add all the numbers together, and all the variables
3/5x-120=0
We multiply all the terms by the denominator
-120*5x+3=0
Wy multiply elements
-600x+3=0
We move all terms containing x to the left, all other terms to the right
-600x=-3
x=-3/-600
x=1/200
Select the correct answer from each drop down menu. The square root of 15 look at image
Answer:
a=15
b=7
c=4
Step-by-step explanation:
[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]
The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reams
The 5 cases will last weeks
(Round to the nearest whole number as needed.
Answer:
53 weeks
Step-by-step explanation:
Given :
Reams of paper used :
3 reams = 4 Week
A case of 5 paper = 8 reams
Hence,
5 cases of paper = (8 * 5) = 40 reams
If :
3 reams = 4 weeks
40 reams = x
Cross multiply :
3x = 40 * 4
3x = 160
x = 160 / 3
x = 53. 333
Approximately 53 weeks (nearest whole number)
According to data from the United States Elections Project, only 38 percent of eligible voters voted in the 2014 elections. For random samples of size 40, which of the following best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections?
A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076.
B. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.006.
C. The sampling distribution is skewed to the right, with mean 0.64 and standard deviation 0.006.
D. The sampling distribution is approximately normal, with mean 0.64 and standard deviation 0.076.
E. The sampling distribution is skewed to the left, with mean 0.36 and standard deviation 0.076.
Answer:
I think it's either A or E sorry if I'm wrong
Using Central Limit Theorem, it is found that the option which best describes the sampling distribution of p, the sample proportion of people who voted in the 2014 elections is:
A. The sampling distribution is approximately normal, with mean 0.36 and standard deviation 0.076.The Central Limit Theorem states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]In this problem:
The proportion is [tex]p = 0.38[/tex].Samples of size 40, hence [tex]n = 40[/tex].Hence, the mean and standard error are given by:
[tex]\mu = p = 0.38[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.38(0.62)}{40}} = 0.076[/tex]
Also approximately normal, hence, option A is correct.
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HELP I WILL MARK BRAINLIEST
Answer:
308
Step-by-step explanation:
22 x 15.4 = 338.8
338.8 / 1.1 = 308
Expand (x-2)^2 in polynomial form
Answer:
x^2 -4x +4
Step-by-step explanation:
(x-2)(x-2)
x^2 -2x -2x +4
x^2 -4x +4
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
The bulder needs to cut
? Inches off the block of wood.
Answer:
1.25 inches
Step-by-step explanation:
5 - 5% is 4.75
4.75 - 3.5 is 1.25
Fitness can be measured by the rate of oxygen consumption during exercises with more fit people having higher rates. Unfortunately, this measurement is quite costly to obtain, and so an experiment was done to see if this measurement could be predicted from the time it takes (in minutes) to run 1500 m. The following computer output was obtained. Which of the following is NOT CORRECT?
a. For every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
b. The fitted regression line is approximately Y = 82.42(runtime)
c. A person who runs 1500 m in 10 minutes would have an estimated oxygen consumption rate of about 50.
d. There is good evidence that there is a relationship between oxygen consumption and the run time.
e. The slope is 82.42.
Answer:
b. The fitted regression line is approximately Y = 82.42(runtime)
Step-by-step explanation:
The regression line is Y= aX + b
here b= 82.42 a = -3.31
Hence the regression equation is
Y= 82.42- 3.31 X
where x is the runtime and the slope is given by b.
Option a is correct because from the above equation we see that for every additional minute it takes to run the 1500 m the estimated oxygen consumption rate decreases by 3.31.
Option b is incorrect because the runtime is not given by Y it is given by X.
Option C is correct as
Y= 82.42-3.31*10
Y= 82.42-33.1
Y= 49.32 almost 50
Option d is also correct that the equation line shows a relationship between oxygen consumption and the run time.
Option e is also correct because the slope is given by b and b= 82.42
Toys r Us sells Pokémon cards in packs of 12 for $16.87. Walmart sells them in packs of
6 for $8.36. Justify the better deal.
How many swimmers are there represented on this dot plot?
Answer:
424
Step-by-step explanation:
just add as many numbers on the bottom of the line on that specific dot plus the amount on it to get your answer for each then add them all together to get your answer
Find the length of RS.
Answer:
If ET is 20 then DS should be 30 which makes RS 90
Step-by-step explanation:
Hope this helps. :)
The volume of a cylinder is 1800cm. if the height of the cylinder is 40cm then the diameter of cylinder is?
Answer:
Step-by-step explanation:
help will give max points and branlisest plls HELP ASAP BY 1230pt thanks ;]
Answer:
120cm^3
Step-by-step explanation:
Select the correct answer.
Energized and Powercell are companies that manufacture alkaline batteries. Both companies claim that their batteries last longer than the average alkaline battery.
Anju decided to conduct a test to see whether their claims were true. He purchased 30 Energized batteries, 30 Powercell batteries, and batteries of other brands to conduct the test. The purchase selection was random, and the test was unbiased. The batteries that lasted longer than the average of all the batteries were stated to have passed the test. The batteries that did not last as long as the average of all the batteries were stated to have failed the test. The results for Energized and Powercell are displayed in this table.
Answer:
both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.
Step-by-step explanation:
PLATO USERS
Answer:
Both companies claim that their batteries last longer than the average alkaline battery is true .
Step-by-step explanation:
Both companies claim that their batteries last longer than the average alkaline battery is true because most of the batteries of these companies did passed the test to last longer.
As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell batteries passed the test.
hence we can also inferred from here that Energized batteries are more consistent.
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Simplify: −(−(−78))
Write answer in numerical value
Answer:
-78
Step-by-step explanation:
We need to find the value of -(-(-78))
We know that, -(-x) = +x
And -(-(-x)) = -x
We have,
x = 78
When two minus gets multiplied, we get a positive number and when a minus and a plus gets multiplied, we get a negative number. So,
-(-78) = +78
And
-(-(-78)) = -78
So, the numerical value is -78.
WILL
GIVE BRAINLIST ANSWER
...
.
..
.
..
.
.
.
.
Answer:
-10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Answer:
YOU POST THIS TWICE
IT'S -10, -|-8|, -(-2), |-11|, 5²
Step-by-step explanation:
Evaluate F(x)=4x+5 when x=4
f(4)=
Answer:
F(4) = 21
Step-by-step explanation:
[tex]F(4)=4(4)+5\\F(4)=16+5\\F(4)=21[/tex]
Answer:
21
Step-by-step explanation:
F(X) = 4x + 5
One is asked to find (F(4)), substitute (4) in place of (x) and solve,
F(4) = 4(4) + 5
= 16 + 5
= 21
Calculator
What is the value of n?
Enter your answer in the box.
Answer:
168
Step-by-step explanation:
168+8+4=180
what is 1 + 1 - 10 -50 -40 x 9877 -7000 + 500 - 600 X 564847584 -38339
Answer:
-338908990377
Step-by-step explanation:
that is the answer
Discount
Walmart offers a shirt initially at $100. Then one week later, Walmart offers the shirt at 15% off. The
shirt still doesn't sell, so after another week, Walmart reduces its new price by 20%. How much does the
shirt cost now?
Choose one. 5 points
$68.00
$65.00
$69.00
$60.00
Answer:
$65.00
Step-by-step explanation:
Cost price of shirt after giving discounts is equals to [tex]\$68[/tex].
What is Cost price?" Cost price is defined as the price to be paid at the time of purchase any product."
According to the question,
Initial cost price of shirt [tex]= \$100[/tex]
First discount [tex]= 15\%[/tex]
Discount amount [tex]= 15\%[/tex] of [tex]100[/tex]
[tex]= \frac{15}{100} \times 100\\\\= \$15[/tex]
Cost price after first discount [tex]= 100 - 15[/tex]
[tex]= \$85[/tex]
Second discount [tex]= 20\%[/tex]
Discount amount [tex]= 20\%[/tex] of [tex]85[/tex]
[tex]= \frac{20}{100} \times 85\\\\= \$17[/tex]
Cost price after first discount [tex]= 85 - 17[/tex]
[tex]= \$68[/tex]
Hence, cost price of shirt after giving discounts is equals to [tex]\$68[/tex].
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compute the value of the discriminant and give the number of real solutions of the quadratic equation
mag aral ng mabuti para may alm
Step-by-step explanation:
yan ang answer
A landscaper records the heights, in feet, of 15 newly planted trees in a community garden, as shown.
3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9
Complete the histogram by selecting the frequencies for the heights of the newly planted trees in the community garden.
Answer:
Step-by-step explanation:
The histogram shows the distribution of the newly planted trees
How to plot the histogram?The dataset is given as:
3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9
Sort the data elements
3.1, 3.2, 3.5, 3.7, 4.3, 4.8, 4.9, 5.3, 5.4, 5.5, 5.9, 6.2, 6.5, 6.8, 7.1
Calculate the range
Range = Highest - Least
This gives
Range = 7.1 - 3.1
Range = 4
Divide by 4 to calculate the class width
Width = 4/4
Width = 1
So, the classes and the frequencies are:
Class Frequency
3.1 - 4.0 4
4.1 - 5.0 3
5.1 - 6.0 4
6.1 - 7.0 3
7.1 - 8.0 1
See attachment for the histogram
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All the songs all the figures except a _____ have to bases
Answer:
Square pyramid
Step-by-step explanation:
20 POINTS HELP FAST
Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?
Mascot Survey
Sample 1
Sample 2
Ducks
12
Ducks
8
Grizzlies
24
Grizzlies
30
Lions
20
Lions
22
Silverbacks
16
Silverbacks
12
StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction
Answer:
its D.
Step-by-step explanation:
Almost there! I can smell the victory
Answer:
165
Step-by-step explanation:
18 x 6 = 108
19 x 3 = 57
108 + 57 = 165
:)
I need help plz I don’t know how to do this
Answer:
(2,4)
Step-by-step explanation:
3x-2(-2)=x
3x-4=x
-4= -2x
x=2
y=3(2)-2
y=6-2
y=4
(2,4)
A study was conducted and two types of engines, A and B, were compared. Fifty experiments were performed using engine A and 75 using B. The average gas mileage for A was 36 mpg, and 42 mpg for B. Assume population standard deviations for A and B are respectively 6 and 8. A. Find the point estimate. (2 pts) B. Find the margin of error. (3 pts) C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)
Answer:
a) -6 mpg.
b) 2.77 mpg
c) The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).
Step-by-step explanation:
To solve this question, we need to understand the central limit theorem, and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Gas mileage A: Mean 36, standard deviation 6, sample of 50:
So
[tex]\mu_A = 36, s_A = \frac{6}{\sqrt{50}} = 0.8485[/tex]
Gas mileage B: Mean 42, standard deviation 8, sample of 50:
So
[tex]\mu_B = 42, s_B = \frac{8}{\sqrt{50}} = 1.1314[/tex]
Distribution of the difference:
Mean:
[tex]\mu = \mu_A - \mu_B = 36 - 42 = -6[/tex]
Standard error:
[tex]s = \sqrt{s_A^2+s_B^2} = \sqrt{0.8485^2+1.1314^2} = 1.4142[/tex]
A. Find the point estimate.
This is the difference of means, that is, -6 mpg.
B. Find the margin of error
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs = 1.96*1.4142 = 2.77[/tex]
The margin of error is of 2.77 mpg
C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)
The lower end of the interval is the sample mean subtracted by M. So it is -6 - 2.77 = -8.77 mpg
The upper end of the interval is the sample mean added to M. So it is -6 + 2.77 = -3.23 mpg
The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).
i nedd help im almost done
If yall give me the right answer I called the branly worker to give 1,000 points to right answers so try ya best!!!
From What I understood, I need to find the area and perimeter of those shapes
Bolded words are answers
1. Triangle
Area
9*15=135
135/2=67.5
Perimeter
15+15=30
30+9=39
2. Pentagon
Area: 15.48
Perimeter: 15
Hope this Helps!
simplify 0.6 kg : 3/4 kg : 400 g
Answer:
0.6 kg x .4 kg /.75 = 0.32 kg
Mary has 37 sheep in her flock. If she makes one group of 7 sheep, how many equal groups of 3 sheep can be made with the remaining sheep?
Answer: 10 groups
Step-by-step explanation:
Since we know she is making a group of 7 sheep, we can do 37-7 to get 30 sheep left
If she wants to find how many groups she can make we have to do 30/3 which gets us to 10 which is the number of groups she can do
I hope this helps