Answer:
The p-value is approximately 0.0508
Step-by-step explanation:
The given parameters are;
The expected mass of banana chips bag filled by the machine, μ = 421 gams
The number of bags in the sample of bags filled by the machine, n = 26 bags
The mean mass of the bags in the sample, [tex]\overline x[/tex] = 413 grams
The standard deviation of the mass in the bags, s = 24 grams
The level of significance, α = 0.02
The null hypothesis, H₀; μ = 421 grams
The alternative hypothesis, Hₐ; μ < 421 grams
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
We get;
[tex]t=\dfrac{413-421 }{\dfrac{24}{\sqrt{26}}} \approx -1.6996731712[/tex]
The t-value = -1.6996731712
The degrees of freedom df = n - 1 = 26 - 1 = 25
From an online source, we get the critical-t = 2.166587
The p-value is obtained using an online source as p(t ≤ -1.6996731712) = 0.0508
From the p-value table, we get
0.05 < p < 0.1
Two methods are proposed to measure the effectiveness of a brand of sunscreen.
Method A: Survey adults visiting a beach on a busy weekend. Ask each adult which brand of sunscreen they are using, and assess their arms for sun exposure.
Method B: Volunteers are randomly assigned to one of two brands of sunscreen. Each volunteer is asked to report back at the end of the day, and their arms are assessed for sun exposure.
Which statement is a correct interpretation of these methods?
Both methods are experiments because sun exposure is assessed in both methods.
Both methods are observational studies because neither method attempts to influence responses.
Method A is an experiment because it compares many brands of sunscreen, while method B is an observational study.
Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.
Answer: Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.
Step-by-step explanation:
Based on the information given, we can infer that method A is an observational study. An observational study simply refers to the study whereby the researchers just observe the impact of a rise factor without them trying to change the people or things exposed to it. This can be seen as the survey adults visited the beach on the busy weekend asking each adult the brand of sunscreen that they use and then assess their arms for sun exposure.
Method B is an experiment. An experiment refers to a test that's carried out in order to evaluate a particular hypothesis or theory. Method B is an experiment because it randomly assigns volunteers a sunscreen.
Therefore, the correct option is D.
This is a true or false question but I’m not sure how to solve this problem.
Answer: yes true or false
Step-by-step explanation: 7 true, 8 true, and 9 false
Find the x-intercept and y-intercept for the following equation. Please show all work 4x-3y=24
Answer:
(6,0) and (0,-8)
Step-by-step explanation:
Substitute a zero for each variable
So 4(0) - 3y = 24 to find the y-int so -3y = 24, y = -8, so y-int is (0,-8)
to find x-int y = 0 so 4x - 3(0) =24 so 4x = 24, so x = 6 so x-int is (6,0)
(1 point)
10. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of
the piece of art to the nearest tenth?
311.8 in.2
381.9 in?
155.9 in.2
191.0 in.2
Answer:
191.0
Step-by-step explanation:
These four numbers are plotted on a number line:
3
1
2 5
38
Which is the correct ordering on the number line, from right to left?
1
2
2
3
1
1
2
3
5'
2
3
3
5
8
5
3
2
5
1
2
Answer:
the correct ordering to the number line it is from left to the right
If AB is 150 then P equals?
Answer:
Wouldn't P be something less or equal to an acute angle? Try 75°.
Answer:
its 300∘ I got it right
Helpppp!!!! ASAP!! Please???!
Answer:
c 111 mark me
Step-by-step explanation:
and ur welcome lol
Answer:
105
Step-by-step explanation:
if it true i add 65 +40 =105 so yeah
To determine the organic material in a dried lake ted, the percent carbon by mass is measured at two different locations. In order to compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different.
Location1(%C) Location2(%C)
1 10.40 10.10
2 10.20 10.90
3 10.30 10.20
4 10.40 10.70
5 10.20 10.40
a-1. Far each location, calculate the standard deviation and report it.
- location 1: _____
- location 2: _____
a-2. What is the calculated F value for comparing the standard deviation?
b. Are the two standard deviations for the locations significantly different at the 95% confidence level?
A. yes.
B. No.
c. What is the calculated t value used to compare the means of these two locations?
d. Are the means for the two different locations significantly different at the 95% confidence level?
A. yes.
B. No.
Answer:
a-1.- location 1: =0.01- location 2: =0.113
a-2. F= 0.08849
b. A. yes.
c. t= -1.020
d. B. No.
Step-by-step explanation:
Location1(%C) Location2(%C)
x x² y y²
1 10.40 108.16 10.10 102.01
2 10.20 104.04 10.90 118.81
3 10.30 106.09 10.20 104.04
4 10.40 108.16 10.70 114.49
5 10.20 104.04 10.40 108.16
∑ 51.5 530.49 52.3 547.51
x`= ∑x/n1 = 51.5/5= 10.3; y`= ∑y/n2= 52.3/5= 10.46
Sx² = 1/n1-1[ ∑x² - (∑x)²/n1] = 1/4[ 530.49 - (51.5)²/5]
= 1/4[ 530.49 - 530.45] = 0.01
Sy² = 1/n2-1[ ∑y² - (∑y)²/n2] = 1/4[ 547.51 - (52.3)²/5]
= 1/4[ 547.51 - 547.058] = 0.113
F= Sx²/Sy²= 0.01/0.113= 0.08849
The critical region is F ≥ F(0.025) (5,5)= 7.15
and F ≤ 1/F(0.025) (5,5) = 1/7.15= 0.13986
Since the calculated value of F =0.08849 falls in the critical region we conclude that the two standard deviations for the locations significantly different at the 95% confidence level.
c. t= x1`-x2`/ sqrt ( s₁²/n₁ + s₂²/n₂)
t= 10.3-10.46/ sqrt( 0.01/5 +0.113/5)
t=- 0.16/0.15684
t= -1.020
d. The calculated value t= -1.020 does not fall in the the critical region
t (0.025) (4) = ±2.776 we conclude that the means for the two different locations are not significantly different at the 95% confidence level.
Jeff has a square piece
Answer:
Interesting statement
Answer:
and then Jeff says "my name a Jeff"
Write an expression for "the sum of a and four".
Please help!!
10 POINTS
Answer5:
Step-by-step explanation:
Answer:
4+a=x
Step-by-step explanation:
sum means addition of two or more terms so if the sum of a and four is the question, I represented the result with x cause it is unknown but the question is. Thank you
I WILL AWARD BRAINLIEST !!!!!urgent pls help!!!!!! the width of a pool table is x feet and the length is 3 feet longer than the width. write a polynomial A(x) to represent the area of the pool table. find a (4)
Answer:
28
Step-by-step explanation:
A(x) = x * (x + 3)
= x^2 + 3x
A(4) = 4^2 + 3(4)
= 16 + 12
= 28
Answer:
a(4)=4^2+3(4)
a(4)=16+12
a(4) =28 ft ^2
Solve the inequality. |2x-6|+7 less than 15
Answer:
− 1 < x < 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.
The inflation rate was about
nothing%.
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420
69,420|
69,420
what is the value of the expression below?
5/9 / 1 2/3 x 3 3/5
A: -1 1/5
B: 1 1/5
C:-1/3
D: -3 1/3
No links
Answer:
B) 6/5 or 1 1/5
Step-by-step explanation:
5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5
URGENT PLEASE HELP The perimeter of AJKL is 106. Find the length of
midsegment ST.
J
5x +7
S
3x +3
4x-1
(not drawn to scale)
K
A
17
B
15
16
D
18
Answer:
16
Step-by-step explanation:
3x+3+3x+3+5x+7+4x-1+4x-1=106
19x+11=106
19x=95
x=5
JL=5(5)+7=32
ST=1/2 of JL = 1/2 of 32 = 16
The length of midsegment ST will be 6. The perimeter of the triangle is given.
What is perimeter?It's the sum of length of the sides used to make the given figure.
The perimeter of AJKL is 106;
⇒KS+SJ+JL+LT+TK=106
⇒3x+3+3x+3+5x+7+4x-1+4x-1=106
⇒19x+11=106
⇒19x=95
⇒x=5
The side JL is obtained by,x=5
JL=5x+7
JL=5×(5)+7
JL=32
The side ST is obtained
ST=(1/2)×JL
ST= 1/2 of 32
ST = 16
Hence, the length of midsegment ST will be 16.
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Find the volume of the cone in terms of pi. A cone with a radius of 5 feet and a height of 12 feet.
Answer:
V = [tex]\pi[/tex]r^2 x height
Step-by-step explanation:
Find the volume of the cone in terms of π. A cone with a radius of 5 feet and a height of 12 feet.
Answer:-Given:-Radius (r) of the cone = 5 feet.
Height (h) of the cone = 12 feet.
To Find:-The volume of the cone.
Solution:-We know,
Formula of Volume of Cone is [tex] \frac{1}{3} [/tex]πr²h
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × (5)² × 12
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × 5 × 5 × 12
Volume of the cone = [tex] \frac{\pi \: × \: 5 \: × \: 5 \: × \: 12}{3} [/tex]
Volume of the cone = [tex] \frac{300\pi}{3} [/tex]
Volume of the cone = 100π in³
Volume of the cone is 100π in³.
Hence, option (d) 100π in³ is correct. [Answer]a rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle?
Please explain, I dont understand
Answer:
7 inches
Step-by-step explanation:
Now the area of a rectangle equals to length by width or in this scenario, height by base.
Therefore, we take a look at what we already have.
We got 5 inches for height and 35 squared inches as the area.
h= 5 inches a=35squared inches b=?
*Therefore, 5 x b =35
Through substitution this becomes:
*35/5= b
*Therefore b=7 inches
Create a list of steps, in order, that will solve the following equation. PLEASE HELP WILL GIVE BRAINIEST!!!
Answer:
Add one to both sides
Multiply both sides by 4
Take the square root of both sides
subtract 5 from both sides
Step-by-step explanation:
20% of the 65 coffee mugs at Toby's Pancake House are dirty. How many dirty are there at the pancake house? pls answer asap for brainliest
Answer:
13
Step-by-step explanation:
20% of 65 = 0.2 * 65 = 13
levi was designing a kite. he needs to determine the measure of
The measure of angle A is 86.
What is a kite?A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.
We have,
From the figure,
We see that,
6x + 4 + ∠A = 180
Now,
∠A = 4x + 26
So,
6x + 4 + 4x + 26 = 180
10x + 30 = 180
10x = 180 - 30
10x = 150
x = 15
Now,
∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86
Thus,
The measure of angle A is 86.
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The complete question:
Levi was designing a kite. he needs to determine the measure of angle A.
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12
Answer:
Step-by-step explanation:
plssss help can i have a discord and call me plssss
Answer:
1/24
Step-by-step explanation:
SHAWTYYY THIRSTY
Answer:
21/24-20/24=1/24
Step-by-step explanation:
Make the denominators same by multiplying the fraction with a number that will make the denominators equal i.e 3 for first fraction and 4 for the second fraction.
A passenger train leaves a railway station at 12:00 pm and travels 3 hours on the Northbound track. A second passenger train leaves the same railway station at 12:45 pm and travels 2 hour and 15 minutes on the Southbound tracks at a speed of 20 kilometers per hour faster than the first train. At 3:00 pm the two trains were 360 kilometers apart. How fast was each train traveling?
Answer:
63 kilometers per hour for train A and 83 kilometers for train B
Step-by-step explanation:
Same beginning
Train A: 3 hours to NorthTrain B: 2 hours and 15 minutes to Southbut train B 20 kilometers per hour faster
15 minutes from 20 kilometers per hours are 5 kilometers
So, train B is 45 kilometers travel more far than train B.
= 360 kilometers - 45 kilometers
= 315 kilometers ÷ 5 hours
= 63 kilometers per hours
Hope it's right><
The local scouting club is doing a car wash fundraiser. If
they charge $8 per car, which table below describes how much
they will earn for every 4 cars washed?
Answer:
Step-by-step explanation:
8x4 32
32 bucks
The median and mean scores for a math test are shown.
Which distribution of scores would best account for the difference in the median and mean?
Median Score: 82%
Mean Score: 70%
Answer:
A? I think
Step-by-step explanation:
One pizza is $12 and a cake is $18. If Matt has $84, how many pizzas can he buy at most and still afford to buy a cake
Answer:
5 pizzas
Step-by-step explanation:
So first you subtract 18 so that you know that there is at least one cake.
84 - 18 = 66
When you get 66 dollars remaining, you divide it by 12 to see how many you can afford.
66/12 = 5.5
So because you can’t say you have an additonal amount of money, you would actually round down to 5.
So Matt can buy a total of 5 pizzas and 1 cake.
Answer:
5
Step-by-step explanation:
To find the number of pizzas Matt can buy while still being able to afford a cake set up an inequality. The inequality should look like [tex]84\geq 12x+18[/tex] where x is the number of pizzas Matt bought. Then, solve the inequality by first subtracting 18 from both sides, [tex]66\geq 12x[/tex]. Next, divide both sides by 12, [tex]5.5\geq x[/tex]. This means that Matt can buy 5 pizzas. At first, it might seem like you should round up; however, if you rounded up at all then Matt could not afford the cake, so you must round down.
Drag each expression to the correct location on the table.
e each algebraic expressions next to its corresponding verbal description.
Answer:
5 times the cube of x divided by 4 times x answer is the first one from the left 5x³-4/x. the quotient of the difference of 5 times x cubed and 4 and x the answers is 5x³-4x/ the third one from the right. the cube of the difference of 5 times x and 4 the answer is the middle one
Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).
Answer:
19
Use the given functions to set up and simplify
24. Which description describes the solutions to this inequality?
9> 52
A. all the possible numbers that are smaller than twenty-five
B. all the positive numbers that are greater than ten
C. all the positive numbers that are larger than twenty-five
D. all the possible numbers that are smaller than ten
50 m
50 m
h
28 m
Find the area of the isoceles triangle.
The area is
square meters.
Answer:
700 m^2
Step-by-step explanation:
If the height is 28, and the base is 50, do the triangle area formula for the area.
1/2 28 * 50 = 14 * 50 = 700
Answer:
I believe it should be 700
Step-by-step explanation:
Formula: B times H times 1/2