Answer:
1. ( 19.1416, 23.5384,)
2. (0.276348, 0.46651)
3. the sample size = 170.73 approximately 171
4. sample size = 334.07 approximately 334
5. sample of 334 should be taken by manager
Step-by-step explanation:
mean = bar x = 21.34 dollars
size of sample n = 70
standard deviation of sample = 9.22
we use t distribution as the population standard deviation is not known.
95% Confidence interval
1-α = 0.95
α = 0.05
degree of freedom = 70-1 = 69
α/2 = 0.025
using the t distribution tsble,
= 1.9949
confidence interval = [tex]21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\[/tex]
= 21.34 +- (1.9949*1.10200)
= 21.34 + 2.1984, 21.34 - 2.1984
= (23.5384, 19.1416)
the confidence interval of the mean amount spent at the supply store can be written as 19.1416<u<23.5384
2. sixe of those who only have a cat
p = 26/70 = 0.371429
at 90 % confidence interval,
1-α = 0.90
α = 0.10
we use the z table here
z(0.10/2) = Z(0.05)
= 1.645
[tex]0.371429+-1.645\sqrt} \frac{0.371429(1-0.371429)}{70}[/tex]
= 0.371429 +-( 1.645 x 0.0578)
= 0.371429 + 0.095081, 0.371429 - 0.095081
= (0.276348, 0.46651)
3. sd = 10$
margin of erro,r e = 1.50$
α = 0.05
using z table
α/2 = Z0.025
= 1.96
sample size = 1.96² * 10² / 1.50²
= 3.8416 * 100/ 2.25
= 170.73
the sample size is approximately 171
d. we have 0.5 as sample proportion now
margin of error = 0.045
α = 0.10
Zα/2 = 0.05
= 1.645
sample size = 1.645²x0.5(1-0.5) / 0.045²
= 0.676506/0.002025
= 334. 07
sample size = 334
5. sample of 334 should be taken by manager
Write 1/4 as a fraction with 8 as the denominator. Then add the fraction to 3/8. What is the sum? Write the fractions and the answer.
Answer:
2/8, 5/8
Step-by-step explanation:
[tex]\frac{1}{4}*\frac{2}{2} =\frac{2}{8} \\\\\frac{3}{8} +\frac{2}{8} =\frac{5}{8}[/tex]
Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.
To add fractions with the same denominator just add the numerator, the denominator stays the same.
The fraction is 2/8 and the sum is 5/8.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
let the numerator be x when denominator is 8.
so, 1/4 = x /8
8 = 4x
x= 8/4
x= 2
Now, fraction resulted above is added with 3/8
2/8 + 3/8
= (2+3)/8
= 5/8
Hence, the sum is 5/8.
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b) A triangle-based prism
12.7 cm
8 cm
9 cm
9 cm
Volume:
Surface Area:
What is the volume and surface area
Answer:
Step-by-step explanation:
9²+9²=162
√162 ≈12.7
so base is a right angled triangle with sides 12.7,9,9
area of base and top=2×1/2×9×9=81 cm²
area of sides=(9+9+12.7)×8
=30.7×8=245.6 cm ²
total surface are =81+245.6=326.6 cm²
volume=1/2 ×9×9×8=324 cm³
for an art project ,Mrs.Williams is dividing construction paper into fourths. how many Fourths can she make from 5 pieces of construction paper?
if you answer you'll be a Brainliest
Answer:
20
Step-by-step explanation:
5 times 4 = 20
Lattice Arena sold a total of 150 tickets to a basketball game. 90 of the tickets were sold to fans of the home team. What percent of the tickets were sold to fans of the home team?
60 percentage of the tickets were sold to fans of the home team.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
To find the percentage of tickets sold to fans of the home team,
we need to divide the number of tickets sold to home team fans by the total number of tickets sold, and then multiply by 100 to convert the fraction to a percentage:
Percentage of tickets sold to home team fans = (Number of tickets sold to home team fans / Total number of tickets sold) x 100%
Number of tickets sold to home team fans = 90
Total number of tickets sold = 150
Percentage of tickets sold to home team fans = (90 / 150) x 100%
Percentage of tickets sold to home team fans = 0.6 x 100%
Percentage of tickets sold to home team fans = 60%
Therefore, 60% of the tickets were sold to fans of the home team.
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please help me solve this geometry problem:)
Given:
The endpoints of a line segment are (-5,12) and (-5,0).
To find:
The coordinates of a points which divides the line segment in 2:1.
Solution:
Section formula: If a point divides a line segment in m:n.
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Let point P divides the given line segment in 2:1. They, by using section formula, we get
[tex]P=\left(\dfrac{2(-5)+1(-5)}{2+1},\dfrac{2(0)+1(12)}{2+1}\right)[/tex]
[tex]P=\left(\dfrac{-10-5}{3},\dfrac{0+12}{3}\right)[/tex]
[tex]P=\left(\dfrac{-15}{3},\dfrac{12}{3}\right)[/tex]
[tex]P=\left(-5,4\right)[/tex]
Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).
Solve The systems of equation using any method
4×+3y=2 3x-3y=-9
At a party, the amount of people who ate chicken wings was 9 less than 3 of the total
number of people. The number of people who ate chicken wings was 2. Write and solve an equation
to find the number of people at the party. Let x represent the number of people at the party. Use pencil
and paper. Write a one-step equation that has the same solution.
Answer:
3-9= the number of people who at chicken wings and the number of people who ate chicken wings were 2. By the way i dont know if did my math absolutley correct. sry:(
PLEASE HELP PLEASe!!!!
what does 3p equal to?
p= 1/3
please show your work and include the steps in doing it.
Im confused so please help thank you!
Answer:
1 just 1 i need 20 characters but ok
Explanation:
If p = 1/3, then 3p = 1 after multiplying both sides by 3
We can show the steps like this
3p = 3(p) = 3(1/3) = 3/3 = 1
Noah raised $54 to support the animal shelter, which is 60% of his fundraising goals. Write an equation to represent the situation. (In your answer, write 60% as 60/100.)
Answer:
54 x 1.4 = 54 x 140/100 = 75 60/100
75.6
Step-by-step explanation:
Prove if 5n+3 is odd, then 7n+4 is even
Can anyone answer this please
Answer:
A) 1
f(g(1)) = 1
Step-by-step explanation:
Step(i):-
Given that the functions are f(x) and g(x)
f(x) = 3√x +1
and y = g(x)
put x=1 ⇒ y = g(1) = 0 ( from graph 1 is mapping '0')
Step(ii):-
f(g(1) = f(0)
= 3√0 +1 (∵f(x) = 3√x +1)
= 1
f(g(1)) =1
The flux hotel recently installed a triangular pool as shown below. If the hotel manager needs to order a cover for the pool and the cost is $35 per square foot, how much can he expect to spend?
Answer:
[tex]Total = \$6545[/tex]
Step-by-step explanation:
Given
[tex]Base = 17ft[/tex]
[tex]Height = 22ft[/tex]
[tex]Slant\ Height = 32ft[/tex]
[tex]Cost = \$35[/tex] per square ft
Required
Determine the expected spending
First, calculate the area of the pool.
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} * 17ft * 22ft[/tex]
[tex]Area = 17ft * 11ft[/tex]
[tex]Area = 187ft^s[/tex]
The total cost is:
[tex]Total = Cost * Area[/tex]
[tex]Total = 35 * 187[/tex]
[tex]Total = \$6545[/tex]
The base of a triangle is four times its height. If the area of the triangle is 242 square millimeters , find its base and height.
area= 1/2 b*h
242=1/2 4h*h=2h^2
h^2=121
h=11
b=4h=44
-2(4x – 3) = 10
Can someone help me with this math problem please
Answer:
-1/2
Step-by-step explanation:
-2(4x - 3) = 10
First distribute the -2 to 4x and -3; it turns into
-8x + 6 = 10
The subtract 6 on both sides which equals
-8x = 4
Then divide -8 on both sides...
x = -4/8 or -1/2
determine the prime number between 150 and 200
Answer:
Thus out of 16 numbers which are multiples of 6 increased or decreased by 1,five numbers namely, 169, 175, 155, 185, and 187 are composite numbers. Thus we have 11 prime numbers between 150 and 200. We know 2,3, and 5 are prime numbers. Similarly 11, 13, 17, 19 are prime numbers
hope it helps you
please mark me as brainlist
given 1/cot x - sec x/ csc x= cos x find a numerical value of one trigonometric function of x
Answer:
what's is supposed to be going on here what the the option
Answer:
Step-by-step explanation:
c on edge
7.89 7.890
Are they equal or which on is greater?
Answer:
they're equal
Step-by-step explanation:
Answer:
They are equal
Step-by-step explanation:
Simplify this expression.
(2 - 5/6) 3/2
O 6V2 - 1576
62 - 15/12
O 672-876
O 672-30/3
Answer:
The second one is correct
Answer:
b
Step-by-step explanation:
Judy will use 2 1/2 cups of flour for each cake she bakes. Judy has 10 cups of flour. What is the maximum number of cakes Judy can bake?
Answer:
4 cakes
Step-by-step explanation:
Sophia is a salesperson at a home improvement center. She is paid a monthly commission that is 7.5% of her first $1,000 in sales and
12% of the balance of her sales. Today she sold $1200. How much is her commission?
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900900 voters in the town and found that 377% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 344%. Testing at the 0.020.02 level, is there enough evidence to support the strategist's claim
Answer:
Hence, we fail to reject the null ;
There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%
Step-by-step explanation:
Given that :
Sample size, n = 900
p = 0.37
p0 = 0.34
H0 : p = 0.34
H1 : p > 0.34
Right tailed test:
Decision region:
Reject Null if ;
Zstatistic > Zcritical
Zcritical at α 0.02 = 2.05
Hence
Reject H0 : if Zstatistic > 2.05
Zstatistic = (p - p0) / sqrt((p0(1-p0))/n)
= (0.37 - 0.34) / sqrt((0.34(1-0.34))/900)
= 1.8999
1.8999 < 2.05
Zstatistic < Zcritical
Hence, we fail to reject the null ;
There is no significant evidence to support the claim that the percentage of residents who favor annexation is over 34%
please help with question
Answer:
70
Step-by-step explanation:
180 - (90) - (20)
90 - 20
70
An experimental psychologist plans a study in which a crucial step is offering participants a food reward. It is important that the three food rewards be equal in appeal. Thus, a prestudy was designed in which participants were asked which of the rewards they preferred. Of the 60 participants, 16 preferred cupcakes, 26 preferred candy bars, and 18 favored dried apricots. Do these scores suggest that the different foods are differentially preferred by people in general? (Use the .05 significance level.)
You must use all five steps in hypothesis testing:
Restate the question as a research hypothesis and a null hypothesis about the populations.
Determine the characteristics of the comparison distribution.
Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.
Determine your sample’s score on the comparison distribution.
Decide whether to reject the null hypothesis.
Answer:
Step-by-step explanation:
From the information given:
[tex]\mathbf{H_o: there \ is \ no \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]
[tex]\mathbf{H_a: there \ is \ significanr \ difference \ between \ observed \ and \ expected \ value }[/tex]
The characteristic of the comparison is a uniform distribution.
Since there are three categories from the data, then: the data obeys a U(0,3) distribution. However, supposed it happened that different food had the same appeal, thus, there will be uniform distribution in the preference score.
[tex]Degree \ of \ freedom \ df = n - 1 \\ \\ df = 3 - 1 = 2[/tex]
At 0.05;
Thus, at 0.05 and df of 2, the cutoff sample score at which [tex]H_o[/tex] will be reject is the critical value [tex]\mathbf{X_{0.05,2}^2 \ which \ is \ = 5.991}[/tex]
Prefered Observed Expected Expected (O - E) (O - E)²/ E
frequency frequency proportions
Cup cakes 16 20 0.333 -4.00 0.800
Candy bars 26 20 0.333 6.00 1.800
Dried apricots 18 20 0.333 -2.00 0.200
Total 60 20 1 -2.00 2.800
Thus the sample score is [tex]\mathbf{X^2_{observed} = 2.800}[/tex]
Decision rule: To reject the null hypothesis if the observed test statistic is higher than the critical value.
Conclusion: We fail to reject the null hypothesis and conclude that different foods have the same appeal to different people.
What is the value of f(-5)?
Answer:
None
Step-by-step explanation:
Cant solve it without an X value
12. A staffs shadow is 8 feet and a tree's shadow is 16 feet. If the staff is 9 feet tall, how tall is the tree?
A. 15 ft
B. 18 ft
C. 12 ft
D. 9 ft
Answer:
18 ft
Step-by-step explanation
1. Put 8/16 like a fraction and since we do not know the height of the tree yet we put the height as 9/d.
2. We have to cross multiply so we multiply 8 by d and we get 8d. Then we multiply 9 by 16 and we get 144.
3. We divide both sides by 8 so we can get (d) by itself and we divide 144 by 8 also.
4. We get d = 18
The answer is correct but my explanation is a little hard to read so sorry about that :)
simplify the expression 3x+2x
Answer:
=5x
Step-by-step explanation:
3x+2x
=3x+2x
=x+x+x+x+x
=5x
Step-by-step explanation:
step 1. 3x + 2x = 5x. that is the answer.
Triangle A is similar to triangle B.If the scale factor of triangle A to triangle B is 4 to 5,what is the ratio of the perimeter of triangle A to triangle B?
Answer:
4:5
Step-by-step explanation:
The ratio of the perimeter of the two similar shapes is equal to the scale factor of the two similar shapes.
which is the correct description of how to find the volume of a cylinder
Answer:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
Step-by-step explanation:
Which is greater? 12.045 or 12.54
Answer:
12.54
Step-by-step explanation:
how many thirds are in 8/3
Answer:
There are 8 thirds in 8/3
There are 2 wholes in 8/3 as well
8/3 converted to a decimal is 2.7 rounded to the nearest tenth (so 2.6 repeated)
Step-by-step explanation:
