The true mean expenditure per student is different from $10,337.
What is hypothesis in math?
A hypothesis is a proposition that is consistent with known data, but has been neither verified nor shown to be false.There are basically two types, namely, null hypothesis and alternative hypothesis.Sample size is greater than 30 and the population standard deviation is given. Thus, in order to test
H0: µ =$10,337
H1: µ≠$10,337
The appropriate test is one sample z test.
The formula for one sample z test:
Z= x−μ / σ √ n
x−μ
x=10798
μ=10337
σ=1560
n=150
[tex]Z = \frac{10798 - 10337}{1560 / \sqrt{150} } = 3.62[/tex]
Computation of p-value:
The EXCEL formula to find the p-value for a two-tailed z-test is
“=2*(1-NORM.S.DIST(3.62, TRUE))”
Thus, the p-value obtained is 0.00029
Conclusion using α = 0.05:
Rejection rule using p-value:
If p-value ≤ α, then reject the null hypothesis.
Since, 0.00029 < 0.05, there is sufficient evidence to reject the null hypothesis.
Therefore, the true mean expenditure per student is different from $10,337.
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A triangular prism where the base is a right traingle with lengths of the edge are given 3cm,4cm,5cm,3cm what are the total surface
Answer:
Total surface area is 48 square Centimeter
Step-by-step explanation:
Total surface area is equal to the product of triangular base area and the height of the prism
Area calculation of triangular base
[tex]S = \frac{3+4+5}{2} = 6\\[/tex]
Area =
[tex]\sqrt{S(S-a)(S-b)(S-c)}[/tex]
Substituting the given values in above equation we get
[tex]\sqrt{6 *3*2*1} = 6[/tex] square centimeter
Total surface area
= [tex]2 * 6 + (3*3)+(3*4)+(3*5)\\= 12 + 9 + 12+ 15\\= 48[/tex] square Centimeter
Mrs. Rodriguez has 18 packages of pens in stock at her store on Monday. On Tuesday, she has 7/9 the number of pens she had on Monday. On Wednesday, she has 2/7 of the number of pens she had on Tuesday.
How many packages of pens does she have on Wednesday?
Answer:
No but she can have dezzz nuts
Step-by-step explanation:
whats the anwser for 14−3x<−1
Answer:
Step-by-step explanation:
Here you go mate
Step 1
14−3x<−1 Question
Step 2
14−3x<−1 Simplify
Step 3
14−3x<−1 Subtract 14 from sides
-3x<-15
Step 4
-3x<-15 Divide sides by -3
x>5
Answer
x>5
Hope this helped
Answer:
Step-by-step explanation:
I can help
Step 1
14−3x<−1 Simplify
Step 2
14−3x<−1 subtract 14 from the sides
-3x<-15
Step 3
-3x<-15 Divide the sides by 3
-3x/-3<-15/-3
Answer
x>5
Hope this helps
Patty, Helene, and Mira share $0.96 that they found in an old wallet. How much money does each girl get?
Answer:
33 cents
Step-by-step explanation:
.96 divided by 3 = .36
Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8
The average 12-ounce container of raspberries contains 120 raspberries. Since the size of the raspberries can vary, the actual quantity of raspberries in a container can range anywhere from 4 berries below average to 4 berries above average.
Write and solve an absolute value equation to calculate the minimum and maximum raspberry quantities in a 12-ounce container.
Enter your answers in the boxes below.
Minimum Quantity:
raspberries
Maximum Quantity:
raspberries
Ik someone else already answerd but here is confirmation just incase :)
Help this is timed!!!
Answer:
C. (4,2)
Step-by-step explanation:
The point where the lines intersect is (4, 2)
Answer:
IT IS 2,4!!!!!!!!!1
Step-by-step explanation:
John earns $7.50 per hour at his job. Becky's earnings are given by the equation P = 8.25x, where P is her
total earnings, in dollars, and x is the number of hours worked. If they each work 9 hours, who earns more
and how much more
What's the probability you will flip 3 coins in a row and they all land on HEADS?
A. 3 out of 6 chance
B. 1/8 chance
C. 2 in 16 chance
D. 4 in 5 chance
Answer:
B. 1/8 chance
Step-by-step explanation:
Every time you flip a coin you have a 1/2 probability of landing on heads.
If you repeated the process three times in the row
It would be 1/2 x 1/2 x 1/2 = 1/8
The odds they all land on heads is 1/8
Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,
48 in
69 in
286 in
572 in?
Answer:
69.4 inches
Step-by-step explanation:
A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.
To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.
AD ⊥ BC.
Since adjacent sides are equal to each other, hence:
BC = BD, AC = AD
The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)
[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]
BC = BD, AC = AD
Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches
Answer: 69
Step-by-step explanation:
Solve for x, Round to the nearest 100th if needed.
x13+18=49
x=?
Step-by-step explanation:
X=49-18/13
X=31/13
X=2.38
so nearest 100 th would be 2.4
I’m not sure how to answer this pls help
6.1 x 1.9 + 3.7
Answer: 15.29
Step-by-step explanation: Simplify
1/4(16w+5) we need to simplify the answer
Answer:
4w + 5 / 4
Step-by-step explanation:
1/4 × 16w + 1/4 × 5
= 4w + 5 / 4
I need some help with this question
9514 1404 393
Answer:
terms: 2
degree: 1
Step-by-step explanation:
The expression has two terms, separated by a minus sign.
The degree of the expression is the exponent of the only variable, 1. (Typically, a coefficient of 1 and/or an exponent of 1 are not shown.)
terms: 2; degree: 1
i ready classroom grade 8 volume 1 mathematics
Can anyone help me with this asap !!!
Answer:
COCO is life
Step-by-step explanation:
COCO is = to food and water
And food of COCO contains 2grams
Water of COCO contains 10 liters
So add grams and liters together
And u get this
10l/41ⁿ9xg451/⅞41 + we12/need/34¹⅔/coco
=coco 10274728l
write an equation that has the solution of X equals Y
Answer:
Step-by-step explanation:
The system of equations x + y = 1 and x – y = 2 has the unique solution x = 1 and y = –1.
There are infinite pairs of system of equations which have the unique solution x = 1 and y = –1.
Hope this information will clear your doubts about the topic.
Select the correct answer from each drop-down menu.
The corresponding sides of two similar triangles are
The corresponding angles of two similar triangles are
Reset
Next
Answer:
1)proportional
2)Congruent
Step-by-step explanation:
The corresponding sides of two similar triangles are in equal proportion.
The corresponding angles of two similar triangles are congruent.
What are similar triangles?The two triangles said to be similar if the corresponding sides of two similar triangles are in equal proportion and the corresponding angles of two similar triangles are congruent.
Given that. we need to find the correct answer from each statement.
According to the definition of the similar triangles,
two triangles said to be similar if the corresponding sides of two similar triangles are in equal proportion and the corresponding angles of two similar triangles are congruent.
Hence, the correct statements are:
The corresponding sides of two similar triangles are in equal proportion.
The corresponding angles of two similar triangles are congruent.
Learn more about similar triangles, click;
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The price of a television is $567.31. The state sales tax rate is 8.3%.
What is the total cost of the television?
Answer:
[tex]2.64957x10 [/tex]
[tex]8547 \times 31[/tex]
[tex] = 264951[/tex]
Gilbert took 2 hours longer to drive 240 miles on the first day of a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day?
Answer:
dyvhbCNN mfg beneficialgVCR specializations acknowledgement
Three-quarters of the students that Maria surveyed stated that they liked to sleep in on Saturday morning. If 24 of the students said they liked to sleep in, how many students did Maria survey?
Answer:
6
Step-by-step explanation:
plz help!!! i’ll mark brainliest!!!!
Step-by-step explanation:
go to rcboe.org sorry if it doesn't work
Which could be the value of x in the
triangle below?
Answer:
6
Step-by-step explanation:
I'm going to assume that this is a right triangle
which means that
3x²+6²=19²
9x²+36=361
9x²=325
3x=18.0277
x=6
Which expression is equivalent to 3 (x – 9) + 6?
A. 3x - 3
B. 3x - 21
C. 15 - 3x
D. 33 - 3x
What is the area of the following polygon? Explain your process for how you arrived at the final area. Show your work.
Answer: 400
Step-by-step explanation: first you have to know the triangle area, which is 20 times 10 divided into 2, then you have to know the square area which is 20 times 15 and finally you will put together the areas, which is 400
Answer:
Step-by-step explanation:
Answer: 400
Step-by-step explanation: first you have to know the triangle area, which is 20 times 10 divided into 2, then you have to know the square area which is 20 times 15 and finally you will put together the areas, which is 400
Sandra has a $20 itunes gift card and spends $3 each month. Which of the following functions models how much money Sandra has on her gift card after x months?
Answer:
x3-20
Step-by-step explanation:
x stands for the month 3 is the money that she is spending each month if you multiply those together you get the amount of money she has spent over x amount of months minus the 20 dollars on her gift card
ALGEBRA 2:
my brain can’t handle this please i’m begging 35 points!! + brain lies
Answer:
Batoon you okay U-Pack guitar a Jeffrey vaginas how much are I guess you're everything
How can I solve this question?
draw a rectangle triangle :
sin B=8/17 that means that de biggest side are 17 ("hipotenusa"), and another side is 8. Applying de theorem of pythagoras:
[tex]17^{2} =8^{2} +x^{2} \\x^{2} =17^{2} -8^{2}\\x=\sqrt{17^{2} -8^{2}} \\x=5\sqrt{5}[/tex]
Today only, a sofa is being sold at a 35% discount. The sale price is $559.
What was the price yesterday?
Answer:
195.65
Step-by-step explanation:
Answer:
100%-29% = 71%
568/0.71 = 800
price was $800
Step-by-step explanation:
If I'm wrong I'm sorry
If I'm right Thank you and (Brainliest plz )
Which graph represents this system?
Y=3
X+ y = 4
Answer:
Step-by-step explanation:
Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4inches. What would be the measurements of the width and height?