Answer:
b. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape non-Normal
Step-by-step explanation:
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 of samples:
When two samples are subtracted, we have that the mean is the difference between the means and the standard deviation is the square root of the sum of the variances.
The mean weight of dogs in a certain city is 28 pounds with a standard deviation of 14 pounds. Sample of 10
This means that [tex]\mu_{D} = 28, s_D = \frac{14}{\sqrt{10}} = 4.4272[/tex]
Mean weights of cats is 9.5 pounds with a standard deviation of 2 pounds. Sample of 8.
This means that [tex]\mu_{C} = 9.5, s_{C} = \frac{2}{\sqrt{8}} = 0.7071[/tex]
Which of the following is an accurate description of the center, spread, and shape of the sampling distribution of the difference in the mean weight dogs and the mean weight of cats?
The mean is:
[tex]\mu = \mu_{D} - \mu_{C} = 28 - 9.5 = 18.5[/tex]
The standard deviation(spread) is:
[tex]s = \sqrt{s_{D}^2+s_{C}^2} = \sqrt{4.4272^2+0.7071^2} = 4.48[/tex]
Normal distribution subtracted by non-normal(sample of cats is less than 30, so wont be normal), will be non-normal.
The correct answer is given by option b.
2(x+3) = 5x+10 - x
Explain your reasoning
Answer:
x= -2
Step-by-step explanation:
2(x+3)=5x+10-x (we need to distribute first)
2x+6=4x+10 (then add like terms)
-2x=4 (now divide)
x= -2
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]
Solve the inequality. 4/5v < 7/15
Answer:
v < 7/12
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
Helpi need this in the next 30 minutes!
Answer:
C)
Step-by-step explanation:
Answer:
answer: c
Step-by-step explanation:
the experiment land 4 of 15 times on Q making the experiment 4/15 and the chances of landing on Q is 1/5
Solve the system of equations
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
Help plz I don’t understand
Answer:
600 m²
Step-by-step explanation:
Area = 3.14 × 14 × 14 = 615.44
rounding off :
600 m²
Find the approximate radius of a circle with a circumference of 198 centimeters. Use 3.14 for it. Round to the nearest
hundredth
Answer:
31.50
Step-by-step explanation:
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
In the following triangle what is the length of the hypotenuse?
Answer:
Hypotenuse: 6
Step-by-step explanation:
Sin45°=(BC/AC)
Sin45°=(3√2/AC
1/√2=3√2/AC
AC=3×2=6
so hypotenuse = 6
hope it helps
have a great day!!
Answer:
6
Step-by-step explanation:
here's your solution
=> sin 45° = perpendicular/hypotenuse
=> sin 45° = 1/√2
=> perpendicular = 3√2
=> 1/√2 = 3√2/hypotenuse
=> Hypotenuse = 3*√2*√2
=> Hypotenuse = 3*2
=>. Hypotenuse = 6
hope it helps
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
4,843 divided by 44?
Answer:
110.068181818
Step-by-step explanation:
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.
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
Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
123
27
A
120
Find cos B.
Answer:
d. Cos B = 9/41
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos B = Adjacent length / Hypotenuse length
Adjacent length to reference angle B = 27
Hypotenuse length = 123
Cos B = 27/123 = 9/41
ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP
Step-by-step explanation:
11.True
12.False
13.False
14.False
15.True
16.False
17.False
18.True
19.True
20.False
Answer:
here
Step-by-step explanation:
Graph y=-(4)
X PLS HELP
Answer:
this is a horizontal line which crosses the y-axis at -4
Step-by-step explanation:
Which equation defines the graph of y=x^2 if it is shifted vertically 3 units up, and horizontally 2 units right
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:
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
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:
If there are 7 days in a week, how many days are there in 6 weeks?
Answer:
42
Step-by-step explanation:
Answer: 42
Step-by-step explanation: 7 x 6 = 42
8 (6-4x) = 12
equation with parentheses
Answer:
x=9/8
Step-by-step explanation:
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
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?
f(x)=3x^2 for f(3)
f(x)=3(2)^x for f(3)
Step-by-step explanation:
[tex]f(3) = 3 \times {3}^{2} = 27 \\ f(3) = 3 \times {2}^{3} = 24[/tex]
Which describes the underlined part of the statement?
7x + 4 = 18
O variable
O coefficient
O equation
O term
Brown
Answer:
variable
this corect answer for this question
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.