Answer:
The easiest way to divide fractions is to follow three simple steps:
1. Flip the divisor into a reciprocal.
2. Change the division sign into a multiplication sign and multiply.
3. Simplify if possible.
Fill in the blanks. See picture and give answers please as quickly as possible.
Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select b. With = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select c. With = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select
Answer:
Part a:
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
Step-by-step explanation:
Data as given
H 0: μ ≤ 50 against the claim H a: μ> 50 one tailed test
Z (0.05)= ± 1.645
Sample size n= 50
Using the central limit theorem
Population Standard Deviation= σ=s=6
X= 52.5 , 51 and 51.8
Part a:
Z= x-μ/ s/ √n
Z= 52.5- 50 / 6/ √50
Z= 2.5/0.84853
z= 2.946
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
Z= x-μ/ s/ √n
Z= 51- 50 / 6/ √50
Z= 1/0.84853
z= 1.17851
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
Z= x-μ/ s/ √n
Z= 51.8- 50 / 6/ √50
Z= 1.8/0.84853
z= 2.1213
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
A tailor has 100 square yards of cotton and 120 square yards of wool material. it takes 2 square yards of each type to make a sports coat. It takes 1 square yard of cotton and 3 square yards of wool to make a pleated skirt. The tailor already has orders for at least 15 sport coats and 5 skirts. If the tailor sells each coat for $40 and each skirt for $45, how many of each garment should be made in order to fill the orders and maximize profit.
Answer:t
Takes 2 Square Yards Of Each Type To Make A Sports Coat. It Takes 1 Square Yard Of Cotton And 3 Square Yards Of Wool To Make A Pleated Skirt.
Step-by-step explanation:
hope that is what you were needing
A jar contains n nickels and d dimes. There are 22 coins in the jar and a total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
Answer:
1.50 + 22
Step-by-step explanation:
23.5
Answer:
12 nickels. 9 dimes
Step-by-step explanation:
12 nickels is equal to 60 cents
9 dimes equals 90 cents
90 plus 60 equals 150 which is $1.50
Which figure best represents a rhombus?
Answer:
it's the second one a rhombus is a diamond
PLEASE HELP MATH MIDTERM
Find the measure of angle A. Round only your final answer to the nearest hundredth.
Answer:
73.74 degrees
Step-by-step explanation:
How many square feet of outdoor carpet will
we need for this hole?
?
6 ft
2 ft
2 ft
3 ft)
5 ft
3 ft)
12 ft
Please
Answer:48 ft to the second power
Step-by-step explanation:
I just got it right on iready
The area of the outdoor carpet that needed for the hole should be considered as the 48 ft².
Calculation of the area:
Since
we know that
Area of the rectangle = Length (breadth)
here,
L = 12 ft
b = 5 ft
So,
area = 12 × 5
= 60 ft²
Now
The cut off triangle area
area = 1/2 × base × height
= 1/2 × 4 × 3
= 12/2
= 6 ft²
Now
The cut off rectangle area should be
area = Lb
= 3 × 2
= 6 ft²
Now finally
The area of the outdoor carpet should be
= 60 - 6 - 6
= 48 ft²
learn more about an area here: https://brainly.com/question/17971267
The value of 2^3 + 3^3 = .
Answer: (2^3) + 3^3
2^3 + 3^3
35
Step-by-step explanation:
you most likely just have to add 8 and 27 together im guessing
What is the surface area of the solid...?
Each of the following statements is correct in at least one number system. That is, the statement is correct if we assume the numbers are expressed in a base other than 10. It is up to you to find out which number base makes each statement correct. You need to justify your answer by converting the numbers in each operation to base 10 and showing that the statement is correct. For example, 36/6 = 7 is clearly not correct in base 10, but it is correct in base 12 because 3612 = 4210 and 4210/610 = 710.
Thus, 3612/612 = 712 is true.
a) 42/3 = 13
b) 23 + 44 + 14 + 32 = 223
Answer:
(a) Base 7
(b) Base 5
Step-by-step explanation:
(a) 42/3 = 13 testing base 7 we have:
4x7¹ + 2x7° = 28 + 2 = 30
3x7° = 3
1x7¹ + 3x7° = 7 + 3 = 10
30/3 = 10. Therefore, 42/3 = 13 is in base 7.
(b) 23 + 44 + 14 + 32 = 223. Testing base 5 we have:
2x5¹ + 3x5° = 10 + 3 = 13
4x5¹ + 4x5° = 20 + 4 = 24
1x5¹ + 4x5° = 5 + 4 = 9
3x5¹ + 2x5° = 15 + 2 = 17
2x5² + 2x5¹ + 3x5° = 50 + 10 + 3 = 63
13+24+9+17 = 63.
Therefore, it was done in base 5.
The difference of sixteen and four is greater than ten
Write the sentence as an equation
16-4>10
Difference means subtracting
help pls i'll give brainliest, are they inverses or not explain why or why not
20 POINTS
look at the rectangle below. the sum of the measures of the 3 interior angles of any triangle is always 180° . What is the measure of
A - 30°
B - 45°
C - 60°
D - 120°
Answer: i think its 30°
Step-by-step explanation:
work out yhe value of 6.105×10^8/3.7×10^3 give your answer in standard form
(5.25) An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree days, where a day's degree-days are the number of degrees its average temperature falls below 65 degrees F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be
This question is incomplete, the complete question is;
An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65oF) over a 23-month period.
He then computed the least-squares regression line for predicting y from x and found it to be: y^=80+16x.
How much, on average, does gas used increase for each additional degree-day?
Answer : ______ cubic feet.
(Give your answer as a whole number.)
Answer:
Amount of natural gas used increased by 19 cubic feet.
Step-by-step explanation:
Given the data in the question;
Let the dependent variable y be the amount of natural gas used ( ft³ )
Also let an independent variable x be be the degree days temperature ( in °F)
So the least squares regression equation is;
[tex]y^{bar}[/tex] = 80 + 16x
or
amount_of_natural_gas_used = 80 + 16(degree_days_temperature
Th slope or the standardized regression coefficient of the given regression equation is;
b₁ = 16
the slope coefficient b₁ = 16 is tells us that for each additional one-degree days temperature, an amount of natural gas used increased by 19 cubic feet.
Therefore, amount of natural gas used increased by 19 cubic feet.
17. Answer the following question
A satellite moves at a speed of 2.4 x 104 km/h.
Work out how long it will take for the satellite to move a distance of 3.2 x 109 km.
Give your answer in standard form to 3 significant figures.
Step-by-step explanation:
2.4 x 104= 249.6
3.2 x 109= 348.8
249.6 to 3 sig is 250
348.8 to 3 sig is 349.
I hope this answers your question.
Please nominate me as brainliest, if it's correct please
A letter home to the parents of seniors at Westgate High School says, "a simple random sample of 30 Westgate seniors that took the SAT-M test this year produced a mean of 512 and a standard deviation of 95. A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is Group of answer choices
Answer:
It's 99%
Step-by-step explanation:
It just is.
A confidence interval for the true mean for all WHS seniors is 512.00 ± 47.8." The confidence level for this interval is 99%. The correct option is D.
What is the percentage?The percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole.
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Divide the amount by the total value to get the percentage, then multiply the resulting number by 100.
Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Therefore, the correct option is D, 99%.
To learn more about percentages, refer to the link:
https://brainly.com/question/28269290
#SPJ5
The question is incomplete. Your most probably complete question is given below:
90%
92%
95%
99%
over 99.9%
11. The coordinate grid shows points P, Q, R, and S. All the coordinates for these points
are integers.
What is the value of the x-coordinate of point P?
Answer:
-6
Step-by-step explanation:
Answer: -6
Step-by-step explanation:
The cost of a set of DVDs after a 25%
markup can be represented by the
expression c + 0.25c. Simplify the
expression.
Answer:0.75c
Step-by-step explanation
So for this problem, 100% - 25% = 75%.
The equivalent equation will be 0.75c.
What is the percent of change of 14 to 10, rounded to the nearest 10th of a percent
Answer:
jnjnj
Step-by-step explanation:
yes
j jlnjknjkl.n
njn
jnjnjnjn
Using your answer from #3, how many hours will
Victoria need to babysit if she raises her hourly
charge to $15 per hour and she still wants to
earn at least $75?
Answer:
5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75
The first three terms of a sequence are given .Round to the nearest thousand (if necessary) 13,22,31, find the 31st term
Answer
The sum of this sequence is 66
A. 504 units(squared)
B. 436,8 units(squared)
C. 218 units(squared)
D. 283,2 units(squared)
Answer:
D. 283.2 units²
Step-by-step explanation:
Surface area of the triangular prism = 2×Base Area + Perimeter of triangular base×height of prism
Base Area = ½*bh
b = 6 km
h = 5.2 km
Base area = ½*6*5.2 = 15.6 km²
Perimeter of triangular base = 6+6+6 = 18 km
Height of prism = 14 km
Plug in the values into the equation
Surface area of triangular prism = 2×15.6 + 18×14
= 31.2 + 252
= 283.2 km²
8 ÷ one third = ___. one twenty fourth alt=twenty four twenty fourths 24 48
Answer:
Twenty four (24)
Step-by-step explanation:
8 ÷ one third
one third = 1/3
8 ÷ 1/3
= 8 × 3/1
= 24/1
= 24
The equation of a function is
y = 12x - 7. What is the output when the input is 5?
A. 50
B. 53
C. 56
D. 60
Rick and Lisa each have their own cookie jar Rick's cookie jar is 7/8 full and Lisa is 5/8. Fraction represents how much more of Rick's jar is full than Lisa?
Answer:
2/8 is the right answer your welcome
2/8 of a jar more full.
Tip: ALWAYS circle the numbers or key information to get the best results.
Watch what happens!
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Some key information in this problem is 7/8, and 5/8.
Since they asked us how much more and what fraction represents it, we should subtract 5/8 from 7/8 to find how much more full Rick's jar is than Lisa's.
7/8 - 5/8 = 2/8
So in summary, Rick's jar is 2/8 more full than Lisa's jar.
need to solve vertex angle
Answer:
Step-by-step explanation:
I don’t know what was going on with those middle angles but adjacent angles must sum to 180 which 100 and 30 does not satisfy. The two upper angles must be (360-2(84))/2=96. It follows that the lower adjacent angles must be 180-96=84, just like the angles at top. Anyway the angle j must satisfy
j+2(84)=180
j+168=180
j=12 degrees
The equation of line k is y = -6/7 x + 10. Line m is perpendicular to line k and passes through (-3, -5). What is the equation of line m?
Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers
Answer:
SOMEONE HURRY AND ANSWER THIS
Step-by-step explanation:
Please please help!! I really need help on this question
Answer:
They purchased 20 ounces of candy total
Step-by-step explanation:
just add 12 + 8
=20 ounces
2. What is the
meaning of the
slope in this
situation?
Answer: The value of the intercept represents the predicted highway mileage for gas city mileage of 0 mpg, and such a prediction would be invalid, since 0 is outside of the range of data.
Step-by-step explanation:
Answer:
The meaning of slope is like the middle number.
The solving equation for the slope is
y2-y1 and x2-x1
Step-by-step explanation: