Answer:
2 (w + 4) (w^2 - 4w + 16)
Step-by-step explanation:
Use the formulas you already know for sum of cubes, and plug in the numbers you have in the equation
Hopefully this helps - let me know if you have any questions!
Anthony currently earns $11.75 per hour.
• He will get a $0.25 raise after 6 months.
• He will get a 2.5% raise after an additional 6 months.
After Anthony gets both raises, what will his pay be for 38 hours of work?
Answer:
$467.40
Step-by-step explanation:
well if you take his original pay (11.75) and add 0.25, you get 12.00 per hour.
12.00 + 2.5% raise would be:
12.00 + 0.3 or 30 cents, so the pay per hour is 12.30.
then take 12.30 x 38 and you should get $467.40
so after both raises, and 38 hours of work, he will earn $467.40
hope this helps
8 (6-4x) = 12
equation with parentheses
Answer:
x=9/8
Step-by-step explanation:
Complete the table.
Given: GHIJ is rhombus
Prove: ∠1≅∠3
Answer:
Step-by-step explanation
What is the place value of the digit 5 in the number 1,029.756
Answer:2
Step-by-step explanation:
Answer: Its the tens place, do you not pay attention in school?
How is a ratio table used to graph equivalent ratios?
Answer:
Ratio tables show equivalent ratios between two quantities. They can help you find equivalent ratios in order to solve problems.
hope this helps:) emoji slammm
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle =2×3.14×2.8 mi
circumference of circle =17.584 mi
please with the mathematics
1.)1/6
2.)1 5/10
3.)2 6/7
4.)2
5.)1 7/12
6.)2 4/5
7.)1/12
with like denominators you can just add or subtract freely just the top numerators
Answer:
1.)1/6
2.)1 5/10
3.)2 6/7
4.)2
5.)1 7/12
6.)2 4/5
7.)1/12
Step-by-step explanation:
In a scale drawing of a painting, 1 centimeter represents 7 inches
Scale
1 cm : 7 in
Answer the following.
(a) The height of the real painting is 28 inches. What is the
height of the painting in the scale drawing?
(b) In the scale drawing, the length of the painting is 9
centimeters. What is the length of the real painting?
A) divide actual inches by scale:
28/7 =4 cm
B) multiply actual cm by scale:
9 x 7 = 63 inches
4,843 divided by 44?
Answer:
110.068181818
Step-by-step explanation:
Will mark brainliest for area.
Answer:
c
Step-by-step explanation:
first, find the area of the rectangle thing,
A = lw
14 x 8
112
but, there is a semicircle in it so you need to subtract that from it:
A = πr^2/2
A = π(4)^2/2
A = π16/2
A = 8π
A ≈ 25.132741228718346
then subtract that area from the area of the rectangle:
112 - 25.132741228718346
86.867258771281654
or about 89.9
Which equation defines the graph of y=x^2 if it is shifted vertically 3 units up, and horizontally 2 units right
In training, Kayden does
reps
where
he bench presses 65 kilograms. How
many reps does he have to do to
bench press a total of 1 metric ton?
Answer:
0.065 metric tons
Step-by-step explanation:
Given
65 kg
To find
Convert 65 kg to metric tons
Then, the answer is 0.065 metric tons
Help plz I don’t understand
Answer:
600 m²
Step-by-step explanation:
Area = 3.14 × 14 × 14 = 615.44
rounding off :
600 m²
Solve the inequality. 4/5v < 7/15
Answer:
v < 7/12
Step-by-step explanation:
Oliver wants to run at least 30 miles this week she has already run 14 miles by Tuesday how many miles does she need to run each day if she wants to reach her goal in 4 more days
Answer:
If she wants to run 16 more miles in four days (30 miles minus already done 14 miles) she can run 4 miles a day for the next four days. 4 miles a day.
Step-by-step explanation:
A government agency reports that 22% of baby boys 6-8 months old in the United States weigh less than 25 pounds. A sample of 147 babies is studied. Use the TI-84 Plus calculator as needed. Round the answer to at least four decimal places. (a) Approximate the probability that more than 40 babies weigh less than 25 pounds. (b) Approximate the probability that 34 or more babies weigh less than 25 pounds. (c) Approximate the probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive. Part 1 of 3 The probability that more than 40 babies weigh less than 25 pounds is .
Answer:
a) 0.0526 = 5.26% probability that more than 40 babies weigh less than 25 pounds.
b) 0.409 = 40.9% probability that 34 or more babies weigh less than 25 pounds.
c) 0.6249 = 62.49% probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
Step-by-step explanation:
The binomial approximation to the normal is used to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
A government agency reports that 22% of baby boys 6-8 months old in the United States weigh less than 25 pounds.
This means that [tex]p = 0.22[/tex]
A sample of 147 babies is studied.
This means that [tex]n = 147[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 147*0.22 = 32.34[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{147*0.22*0.78} = 5.02[/tex]
(a) Approximate the probability that more than 40 babies weigh less than 25 pounds.
Using continuity correction, this is P(X > 40 + 0.5) = P(X > 40.5), which is 1 subtracted by the pvalue of Z when X = 40.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40.5 - 32.34}{5.02}[/tex]
[tex]Z = 1.62[/tex]
[tex]Z = 1.62[/tex] has a pvalue of 0.9474
1 - 0.9474 = 0.0526
0.0526 = 5.26% probability that more than 40 babies weigh less than 25 pounds.
(b) Approximate the probability that 34 or more babies weigh less than 25 pounds.
Using continuity correction, this is [tex]P(X \geq 34 - 0.5) = P(X \geq 33.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 33.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 32.34}{5.02}[/tex]
[tex]Z = 0.23[/tex]
[tex]Z = 0.23[/tex] has a pvalue of 0.591
1 - 0.591 = 0.409
0.409 = 40.9% probability that 34 or more babies weigh less than 25 pounds.
(c) Approximate the probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
Exclusive means that we dont count 28 and 38, so, using continuity correction, this is [tex]P(28 + 0.5 \leq X \leq 38 - 0.5) = P(28.5 \leq X \leq 37.5)[/tex], which is the pvalue of Z when X = 37.5 subtracted by the pvalue of Z when X = 28.5. So
X = 37.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37.5 - 32.34}{5.02}[/tex]
[tex]Z = 1.03[/tex]
[tex]Z = 1.03[/tex] has a pvalue of 0.8485
X = 28.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.5 - 32.34}{5.02}[/tex]
[tex]Z = -0.76[/tex]
[tex]Z = -0.76[/tex] has a pvalue of 0.2236
0.8485 - 0.2236 = 0.6249
0.6249 = 62.49% probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
HELP ASAP! I REALLY NEED IT!
Answer:
[tex]46 \frac{7}{8} \: cubic \: feet[/tex]
Step-by-step explanation:
[tex]\boxed{volume \: of \: prism = base \: area \: \times height}[/tex]
Base area= length ×width
Let's convert all the mixed numbers into improper fraction for easier calculation.
Width
= 7½
[tex] = \frac{7(2)}{2} + \frac{1}{2} [/tex]
[tex] = \frac{14}{2} + \frac{1}{2} [/tex]
[tex] = \frac{15}{2} ft[/tex]
Height
= 1¼
[tex] = \frac{4}{4} + \frac{1}{4} [/tex]
[tex] = \frac{5}{4} ft[/tex]
Volume of prism
[tex] = 5 \times \frac{15}{2} \times \frac{5}{4} [/tex]
[tex] = \frac{375}{8} [/tex]
[tex] = 46 \frac{7}{8} \: ft {}^{3} [/tex]
13) When reading a nutrition label for a box of chocolates, you see that there are 296 calories in 8 pieces. Use scaling to find the number of pieces that contain 666 calories.
A 50 foot ladder is set against the side of a house so that it reaches up 40 feet. If Aisha grabs the ladder at its base and pulls it 9 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 31 ft.) Round to the nearest tenth of a foot.
Answer: ~31.3
first use the pythagorean theorem. a^2+(40)^2=50^2.
simply. a+1600=2500. subtract 1600 from both sides. a^2=900.
square root both sides to get a= 30
then find how far the top of the ladder is from the ground once in its new position.
a^2+(39)^2=50^2.
simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.
square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3
Answer:
Step-by-step explanation: iT'S 31.3
Below, the two-way table is given for a class of students. Freshmon Sophomora fontores Seniors Male 4 6 2 2 Female 3 4 6 б 3 Total If a student is selected at random, find the probability the student is a junior. Round to the nearest whole percent.
Answer:
22% probability the student is a junior.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
The table says that:
There are 4 + 6 + 2 + 2 + 3 + 4 + 6 + 6 + 3 = 36 total students.
2 + 6 = 8 are juniors.
If a student is selected at random, find the probability the student is a junior.
8/36 = 0.2222 = 22.22%
Rounding to the nearest whole percent, 22% probability the student is a junior.
Answer:
27%
Step-by-step explanation:
the area of a circle is 60 π sq.cm. find the radius of the radius of the circle to the nearest tenth step-by-step
Answer:
r = 7.7
Step-by-step explanation:
A = πr²
60π = πr²
r² = 60π/π
r² = 60
[tex]\sqrt{r^2} =\sqrt{60}[/tex]
r = 7.746
Rounded to tenths:
7.7
A car can travel 374 kilometers on 34 liters of gasoline. How far can it travel on 35 liters?
Answer:
385 kilometers
Step-by-step explanation:
Divide 374 by 34 to get the unit price
Then multiply the unit price by 35
A man took out a $44,000 construction loan to remodel a house. The loan rate is 8.5% simple interest per year to be repaid in three months. How much is paid back?
9514 1404 393
Answer:
$44,935
Step-by-step explanation:
The amount due will be ...
A = P(1 +rt) . . . . principal P at annual rate r for t years
__
3 months is 3/12 = 1/4 years, so the amount is ...
A = $44,000(1 +0.085×1/4) = $44,935 . . . amount paid back
Kevin
makes $78.37 per day. How much does he
make in 7 days?
Answer:
$78.37 ÷7
Step-by-step explanation
im not smart
Calculate for y given that mean of 20,2y,25,y,30 is 27
Answer:
y = 218
Step-by-step explanation:
Mean = (Sum of all numbers)/(How many numbers present)
27 = (20 + 2y + 25 + y + 30)/27
27 = (3y + 75)/27
3y + 75 = 729
3y = 729 - 75
3y = 654
y = 218
One hundred volunteers who have agoraphobia (fear of open and crowded space) are available for a study. Fifty are selected at random and are given the drug imipramine, which is believed to be effective in treating agoraphobia. The other 50 are given a placebo. A psychiatrist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of their symptoms.
What type of study is this?
A. Matched pair design
B. Observational study
C. Completely randomized block design
D. Completely randomized design
Answer:
D. Completely randomized design
Step-by-step explanation:
Based on the description given about the experiment above and the manner in which the subjects were assigned to each of the treatment groups available, we can deduce that the study was conducted using a completely randomized design. The subjects weren't matched or blocked for any variable such as sex, height, age or any other variable. They were just evenly split randomly into the two available treatment levels ( those who receive the treatment and the placebo) group. With this design, all subjects have an equal chance of being in any of the two groups and the selection bias is almost totally eliminated using this sort of design as errors are being considered as arising from experimental faults.
Solve the system of equations
Select ALL the correct answers.
Which of the following statements are true about the equation below? x^2-6x+2=0
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution
Answer:
Disagree
Step-by-step explanation:
[tex]3.67 = c - 2.13 \\ 3.67 + 2.13 = c \\5.8 0 = c[/tex]
Can someone please help me with this
Answer:
39 sq inches
Step-by-step explanation: