Answer:
We can be 95% certain that the sample mean will fall within $44.87 and $46.93
Step-by-step explanation:
Empirical Rule:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
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.
Population:
Mean $45.90, standard deviation $10.31.
Sample:
By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]
Which interval can the branch manager be 95% certain that the sample mean will fall within?
By the Empirical Rule, within 2 standard deviations of the mean. So
45.90 - 2*0.5155 = $44.87
45.90 + 2*0.5155 = $46.93
We can be 95% certain that the sample mean will fall within $44.87 and $46.93
At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.
Answer:
33dollors if I'm not mistakin
Determine the measure of ∠Z.
Question 5 options:
A)
41.76°
B)
13.29°
C)
87.71°
D)
48.24°
Answer:
A
Step-by-step explanation:
The measure of the angle Z is equivalent to 41.7°.
What is tangent function?The tangent function is one of the main six trigonometric functions and is generally written as tan (x). It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.Given is a right angle triangle XYZ.
Using the tangent function, we can write -
tan(Z) = XY/XZ
tan(Z) = 25/28
tan(Z) = 0.89
Z = tan⁻¹(0.89)
Z = 41.7°
Therefore, the measure of the angle Z is equivalent to 41.7°.
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Need help asap please and thank you
Teddy makes 32 fluid ounces of hot cocoa. He pours equal amounts of cocoa into 5 cups. The amount of hot cocoa in each cup will fall between which two amounts?
A. 3 and 4 fluid ounces
B. 4 and 5 fluid ounces
C. 5 and 6 fluid ounces
D. 6 and 7 fluid ounces
Finding a percentage of a total amount: Real-world situations
Espad
Kevin started to run on a treadmill after setting its timer for 92 minutes. The display says that he has finished 72% of his run. How many minutes have gone
by? Round your answer to the nearest tenth.
1 minutes
?
Rachel spent $70 more than Samuel.
If Samuel spent $449, then how much did Rachel spend?
Answer: Rachel spent $519
Step-by-step explanation: Add 70 to 499 and you get 519
Answer:
$519
Step-by-step explanation:
Since Samuel spent $449, and Rachel spent $70 more. This will be an addition problem.
449 + 70 = 519
in the function y=2-5x, what is f(3)?
Answer:
- 13
Step-by-step explanation:
\begin{gathered}y = 2 - 5x \\ f(x) = 2 - 5x \\ f(3) = 2 - 5(3) \\ f(3) = 2 - 15 = - 13\end{gathered}
y=2−5x
f(x)=2−5x
f(3)=2−5(3)
f(3)=2−15 = −13
2(r + w) = 2r + 2w property
Answer:
Distributive Property : a(b+c) = ab+ac
2(r+w) = 2r+2wA family cell phone plan costs $40 per month for each line and $50 for unlimited data. they pay $170 Create an equation
0.8% as a fraction or a mixed number in simplest form
Answer:
1/125
Step-by-step explanation:
When a penny is flipped two times, the probability of flipping exactly one tail is__?
Answer:
[tex]P(Tail = 1) = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]Flips = 2[/tex]
Required
Probability of exactly one tail
This event can be represented as:
(Head and Tail) or (Tail and Head)
In the flip of a coin (penny), the following probabilities exist:
[tex]P(Head) = \frac{1}{2}[/tex]
[tex]P(Tail) = \frac{1}{2}[/tex]
So, the required probability is:
[tex]P(Tail = 1) = (P(Head) * P(Tail)) + (P(Tail) * P(Head))[/tex]
Substitute values for P(Head) and P(Tail)
[tex]P(Tail = 1) = (\frac{1}{2}*\frac{1}{2}) + (\frac{1}{2}*\frac{1}{2})[/tex]
[tex]P(Tail = 1) = (\frac{1}{4}) + (\frac{1}{4})[/tex]
[tex]P(Tail = 1) = \frac{1}{4} + \frac{1}{4}[/tex]
Take LCM
[tex]P(Tail = 1) = \frac{1+1}{4}[/tex]
[tex]P(Tail = 1) = \frac{2}{4}[/tex]
[tex]P(Tail = 1) = \frac{1}{2}[/tex]
Pls help out need answers quick
Answer: answer is 8 because -5 + 1 = -4 then + 10 = 4
Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
A 4 wheeler that travels 52 miles on 5 gallons of gasoline. A second 4 wheeler travels 21 miles on 2 gallons of gasoline which car get better gas mileage.
Answer:
The second 4 wheeler gets better mileage
Step-by-step explanation:
First 4 wheeler:
52mi - 5gal
Second 4 wheeler:
21mi - 2 gal
To compare we have to make sure everything is equal so,
5÷2 = 2.5
so,
second 4 wheeler:
21*2.5=52.5 , 2*2.5=5
52.5mi - 5gal
52<52.5
Jessica is making cookies and brownies for a bake sale. Her recipe for cookies calls for 1 egg per batch, and her recipe for brownies calls for 2 eggs per batch. If Jessica uses 18 eggs and makes 11 batches, how many batches of cookies and brownies did she make?
Answer:
Number of batches of cookies = 4
Number of batches of brownies = 7
Step-by-step explanation:
Let the number of batches of cookies she made = x
And the number of batches of brownies = y
Total number of batches she made = 11
So the equation representing batches will be,
x + y = 11 ---------(1)
Her recipe for cookies calls for eggs = 1 per batch
So eggs required for x batches of cookies = 1 × x = x
Similarly, her recipe for brownies calls for eggs = 2 per batch
So, eggs required for y batches of brownies = 2y
Total number of eggs required = 18
Therefore, equation will be,
x + 2y = 18 ---------- (2)
Equation (2) minus equation (1)
(x + 2y) - (x + y) = 18 - 11
y = 7
From equation (1),
x + 7 = 11
x = 4
Therefore, number of batches of cookies and brownies she made were 4 and 7.
The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
It is linear because the function is continuous.
It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
It is nonlinear because the price tag and final cost columns do not have the same common difference
Answer:
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
The statement 'it is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant' describes this case.
What is the ratio of the change?The ratio of the change is the value that one values changes depending on the corresponding change suffered by another variable.
In this case, the ratio of the change is linear because both variables are directly (proportionally) related and determine a constant equation.
In conclusion, the statement 'it is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant' describes this case.
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Martha deposited $385.25 into her bank account. After her deposit, there was $832.48 in Martha's account. How much money did Martha have in her account before the deposit?
the answer's $447.23
823.48 - 385.25 = 447.23
For each statement below enter a T (true) the statement is true and an F (false) otherwise. In this problem you need to get everything correct before receiving credit. Whenever there is a division below, we assume that the divisor is non-zero. We also assume that where it matters the base of any power is positive.
_____For all real numbers a, b, and c a^b a^c = a^be
_____For all real numbers a, b, and c a^b a^c = a^b+c
_____For all real numbers a and b a^-b= a/a^b
_____For all real numbers a and b a^-b = -a^b
_____For all real numbers a and b a^b = ab
Answer:
T
T
T
T
T
T
F
Step-by-step explanation:
Pattern A and B both start at 0. Which statement about the patterns is true?
-----------------------------------------------------------
Pattern A{0}{6}{12}{18}{24}{30}
Pattern B{0}{2}{4}{6}{8}{10}
-----------------------------------------------------------
A.) Each term in Pattern A is 3 times its corresponding term in Pattern B.
B.)Each term in Pattern A is 6 times its corresponding term in Pattern B.
C.) Each term in Pattern A is 8 more than its corresponding term in Pattern B.
D.) Each term in Pattern A is 4 more than ots corresponding term in Pattern B.
Answer:
I just did a test the correct answer is c
Step-by-step explanation:
The correct answer is C: Each term in Pattern A is 8 more than its corresponding term in Pattern B.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Pattern A{0}{6}{12}{18}{24}{30}
Pattern B{0}{2}{4}{6}{8}{10}
The first term in Pattern A is 0, while the first term in Pattern B is also 0. The second term in Pattern A is 6, while the second term in Pattern B is 2.
The third term in Pattern A is 12, while the third term in Pattern B is 4. We can see that each term in Pattern A is 8 more than its corresponding term in Pattern B.
Therefore, the correct answer is C: Each term in Pattern A is 8 more than its corresponding term in Pattern B.
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Given f(x)= 5x®, what is the domain? O 5
Answer:
all real numbers (D)
the range is y>= 0 (option B)
Step-by-step explanation:
the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0
hope this helps and you have a very nice day !! :)
I need this really fast ASAP i give brainliest
All you need is on the photo
Answer:
y-int: standard
zeros: factored
vertex: vertex
Step-by-step explanation:
Examples:
Standard: y = ax² + bx + c To find the y-intercept, set x-values to zero
Factored: (x - 4)(x + 2) Zeros are at 4 and -2
Vertex: y = (x - h)² + k Where (h, k) is the vertex
Solve for the variable. 6(7 + 2) − 17b = b
3.) AI 65 kom hr. Alfred can reach home in 50 minutes. At what speed should he drive his car
so that he can reach home 10 minutes earlier?
Answer:
He should drive his car at a speed of 81.25 kilometers per hour.
Step-by-step explanation:
With a velocity of 65 kilometers per hour, he reaches home in 50 minutes. What speed he needs to reach home 10 minutes earlier, that is, in 50 - 10 = 40 minutes?
To solve this, we use the relation between inverse proportion variables(as the velocity increases, time needed decreases), that is, a rule of three with line multiplication, instead of cross. So
65 kilometers per hour - 50 minutes
x kilometers per hour - 40 minutes
So
[tex]40x = 65*50[/tex]
[tex]x = \frac{65*50}{40}[/tex]
[tex]x = 81.25[/tex]
He should drive his car at a speed of 81.25 kilometers per hour.
pls help pls, i need this pls help
Answer:
Step-by-step explanation: a real one for the points
Jenny is doing a survey on why children like chocolates. Which survey question would she use?
She could ask: What's you favorite chocolate and why?
Hope that helps O-O
A random telephone survey of adults (aged and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that of those surveyed planned to file their taxes electronically.
Required:
a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically. (to nearest whole number)
b. The survey reported that the most frequently used method for preparing the tax return was to hire an accountant or professional tax preparer. If of the people surveyed had their tax return prepared this way, how many people used an accountant or professional tax preparer?
c. Other methods that the person filing the return often used include manual preparation, use of an online tax service, and use of a software tax program. Would the data for the method for preparing the tax return be considered categorical or quantitative?
Complete Question
A random telephone survey of 1021 adults (aged 18 and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that 684 of those surveyed planned to file their taxes electronically (CompleteTax Tax Prep Survey 2010).
a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically. (to nearest whole number)
b. The survey reported that the most frequently used method for preparing the tax return is to hire an accountant or professional tax preparer. If 60% of the people surveyed had their tax return prepared this way, how many people used an accountant or professional
tax preparer?
c. Other methods that the person filing the return often used include manual preparation, use of an online tax service, and use of a software tax program. Would the data for the method for preparing the tax return be considered categorical or quantitative?
Answer:
a. A descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically is the measure of frequency, using percentage.
Therefore, we can say that the percentage of all taxpayers who file electronically is 67% (684/1,021 * 100).
b. If 60% of the people surveyed prepared their tax returns by hiring an accountant or professional tax preparer, the number of persons who used professionals is:
= 613 (1,021 * 60%)
c. The data for the method for preparing the tax return would be considered categorical.
Step-by-step explanation:
a) Data and Calculations:
Sample number of adults surveyed = 1,021
Number of those surveyed who planned to file electronically = 684
This means that those who planned to file manually = 337 (1,021 - 684)
b) Descriptive statistics summarize the basic features of the data set.
Categorical data groups data with similar characteristics together instead of using numerical values like quantitative data.
The number of boys at CMS is 56% of the total number of students. If there are 1050 students, how many are boys?
Answer:
558
Step-by-step explanation:
5. If rectangle ABCD is similar to rectangle MNOP, which of the following must be true? Explain how you know.
a)
b)
BC.NO
CD OP
2C - ZO
ZB ZM
c)
Answer:
Option C
Step-by-step explanation:
If rectangle ABCD is similar to rectangle MNOP,
Their corresponding sides will be proportional.
[tex]\frac{AB}{MN}=\frac{BC}{NO}=\frac{CD}{OP}= \frac{AD}{MP}[/tex]
And the corresponding angles will be equal.
∠A ≅ ∠M
∠B ≅ ∠N
∠C ≅ ∠O
∠D ≅ ∠P
Therefore, Option C will be the correct option.
Select all the true statements.A.A circumcenter can be outside of its triangle.B.An orthocenter can be outside of its triangle.CAn incenter can be outside of its triangle.D.A centroid can be outside of its triangle.E.A circumcenter, orthocenter, incenter, or centroid can be either inside or outside of its triangle.
Answer:
.B.An orthocenter can be outside of its triangle
Step-by-step explanation:
The orthocenter of a triangle is the intersection of the point drawn perpendicular from the vertices of the triangle. While normal equilateral triangles for instance have their point of intersection drawn inside the triangle, the orthocenter of a triangle of an obtuse triangle is outside of the triangle. A right angled triangle has its orthocenter drawn at the vertex of the right angle and really inside the right angled triangle.
For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simplest form.
Answer:
[tex]\displaystyle \sin(A-B)=\frac{495}{1073}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}[/tex]
Where both A and B are positive acute angles.
And we want to find he value of sin(A-B).
Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.
Then by the Pythagorean Theorem, the hypotenuse is:
[tex]h = \sqrt{35^2 + 12^2} =37[/tex]
Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.
Then by the Pythagorean Theorem, the adjacent is:
[tex]a=\sqrt{29^2-20^2}=21[/tex]
Therefore, we can conclude that:
So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.
For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.
We can rewrite sin(A-B) as:
[tex]\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)[/tex]
Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)
[tex]\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)[/tex]
Evaluate:
[tex]\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}[/tex]
Write in standard form: six hundred seven and twenty-three hundredths *
Answer:
607.23
Step-by-step explanation:
Answer:
6723
Step-by-step explanation: