Answer:
10x
20
Step-by-step explanation:
expression
10x
for x = 2
10 (2)
20
Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. The net weights actually vary slightly from bag to bag and are normally distributed with mean μ. A representative of a consumer advocacy group wishes to see if there is any evidence that the mean net weight is less than advertised.
For this, the representative randomly selects 16 bags of this brand and determines the net weight of each. He finds the sample mean to be 13.82 and the sample standard deviation to be 0.24.
Use these data to perform an appropriate test of hypothesis at 5% significance level.
Answer:
The p-value of the test is of 0.0045 < 0.05, which means that there is enough evidence to reject the null hypothesis and accept the alternate hypothesis that the mean net weight is less than advertised.
Step-by-step explanation:
Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. A representative of a consumer advocacy group wishes to see if there is any evidence that the mean net weight is less than advertised.
At the null hypothesis, we test that the mean is of 14, that is:
[tex]H_0: \mu = 14[/tex]
At the alternate hypothesis, we test tha tthe mean is less than advertised, that is, less than 14. So:
[tex]H_a: \mu < 14[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
14 is tested at the null hypothesis:
This means that [tex]\mu = 14[/tex]
For this, the representative randomly selects 16 bags of this brand and determines the net weight of each. He finds the sample mean to be 13.82 and the sample standard deviation to be 0.24.
This means that [tex]n = 16, X = 13.82, s = 0.24[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{13.82 - 14}{\frac{0.24}{\sqrt{16}}}[/tex]
[tex]t = -3[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 13.82, which is the p-value of t = -3, using a left-tailed test with 16 - 1 = 15 degrees of freedom.
With the help of a calculator, the p-value is of 0.0045.
The p-value of the test is of 0.0045 < 0.05, which means that there is enough evidence to reject the null hypothesis and accept the alternate hypothesis that the mean net weight is less than advertised.
An important problem in industry is shipment damage. A electronics distribution company ships its product by truck and determines that it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 12. A random sample of 12 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 9.4 with a calculated sample of variance of 0.64. Select a 99% confidence interval for the true mean of damaged items.
a) [48.26, -30.02]
b) [10.67, 11.93]
c) [-0.6285, 0.6285]
d) [10.69, 11.91]
e) [11.37, 12.63]
f) none of the above
Answer:
the answer is b) (10.67,11.93)
Step-by-step explanation:
hope this helps
How many infinity are in 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Giovanni orders a pastry from the bakery. The price of the pastry before tax is $4.50.
Giovanni wants to know the total price including a 10% sales tax.
Answer:
We all have the same I ready's lol
Anyway, i did it and, The CORRECT answer is:
$4.95
What is the height of the tree in the figure to the nearest tenth of a foot?
h
40°
75 ft
Using the figure on the left, what is the measure of
LZWY and ZZYW?
Y
N
60° + c + 90° = 180°
60°
C
cº + dº + 90° = 180°
d =
120°60°
60°
DX
w
Answer: first 30 second is 60
Step-by-step explanation:
Answer:
30,60
Step-by-step explanation:
Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiece. Which equation written in standard form represents the number of pencils, p, and the number of erasers, e, that Alejandro bought?
A. 0.75e = 3.50 – 0.50p
B. 0.50p + 0.75e = 3.50
C. 3e = 14 – 2p
D. 2p + 3e = 14
Answer:
I would say that is is B
Step-by-step explanation:
Just put the answer
Please make be brainliest or like rate my answer please and thanks <3
A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E.
Chris surveyed the sixth grade at his school and found that 20% of the students walk to school. If 60 students walk to school, then how many students are in the 6th grade?
[tex] \huge \mathfrak{ Answer : - }[/tex]
60 students walk to school, which is 20 % of the total students studying there,
so, let the the total number of students be " x "
now, we know
=》
[tex]20 \% \: \: of \: \: x = 60[/tex]
=》
[tex] \dfrac{20}{100} \times x = 60[/tex]
=》
[tex] \dfrac{1}{5} \times x = 60[/tex]
=》
[tex]x = 60 \times 5[/tex]
=》
[tex]x = 300[/tex]
hence, the total number of students :
x = 300
Answer:
simple answer 300
Step-by-step explanation:
20%=60 students. 100%/20%=5. 60*5=300 students
triangular pyramid has congruent faces.
The total surface area is 111 cm². The
height of the trinket box is 6.5 cm. What
is the volume of the trinket box to the
nearest tenth of a cm?
Answer:
117.5 cm that the answer on your question
Simplify -4 + (-3) + 6.
Answer:
-7+6
Step-by-step explanation:
Please helppp i will mark brainlist
Answer:
18.84
Step-by-step explanation:
6 times 3.14
= 18.84
Answer:
56.52
Step-by-step explanation:
1/2(π*radius^2)
What is the length of this line?
Answer:
I believe it is 9
Step-by-step explanation:
If you turn that into a triangle then find the area it is 9.
Hope this Helps!
Answer:
Think of it as a right triangle. You can use pythagorean theorem.
a^2 + b^2 = c^2
6^2 + 3^2 = c^2
36 + 9 = c^2
45 = c^2
sqrt45 = c
Step-by-step explanation:
I need this please help me
Find the surface area of the composite figure.
6 cm
5 cm
4 cm
6 cm
15 cm
3 cm
The surface area of the given composite figure will be 384 square cm.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.
The surface area of the triangular shape will be calculated as:-
SA = 2( Area of triangle ) + Area of rectangular surfaces
SA = 2 ( (1/2) B x H ) + (5 x 6 ) + ( 6 x 3 )
SA = ( 3 x 4 ) + ( 30 ) + ( 18 )
SA = 12 + 30 + 18
SA = 60 square cm
The surface area of the rectangular cuboid will be calculated as:-
SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )
SA = 24 + 120 + 180
SA = 324 square cm
Total surface area will be = 324 + 60 = 384 square cm.
Therefore the surface area of the given composite figure will be 384 square cm.
To know more about a surface area follow
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Does anybody have the answers to the probability and statistics unit 8 correlation and regression unit test for connections academy??
WILL MARK THE BRAINLIEST
Match the values with the statistical measures for these data points. 34,37,39,32,48,45,53,62,58,61,60,41
Answer:
I do not know the full answer, But I do know this;
Maximum: 62
Minimum: 32
Step-by-step explanation:
Will likes two brands of healthy breakfast cereal. In Superfiber
fiber in one cup. In Fiber Oats cereal, there are 4 grams of fib
the number of cups of Superfiber Will ate this week and let yr
Fiber Oats he ate this week. Which inequality represents the s
this week contained at least 30 grams of fiber?
O 5x + 4y = 30
O 5x + 4y = 30
O 4x + 5y = 30
4x + 5y = 30
Answer:
The first one I Took the test.
Step-by-step explanation:
which of the following graphs could describe the system of equations
a) blue
b)purple
c)green
d)pink
Answer:
It is purple
Step-by-step explanation:
Answer:
purple
because they interset each other
Step-by-step explanation:
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
a triangle
Step-by-step explanation:
the definition of a triangle is a shape with 3 sides and the shape that is shown has 3 sides.
For a certain class, the ratio of the number of female students to the total number of students is 2 to 5. If
there are 35 students in the class, how many are female students?
9514 1404 393
Answer:
14
Step-by-step explanation:
If 2/5 of the 35 students are female, their number is ...
(2/5)(35) = 14
There are 14 female students.
Here are some clues about my age. • Both my father’s age and mine are 2-digit numbers. • If you reverse the order of the digits of my father’s age, you get my age. • My father is 27 years older than I am. How old am I? Show your work and justify your thinking.
For the given condition the age of the son will be 69 years.
What is the equation?A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.
Suppose the two-digit number is x,
The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,
(10x+y) -(10y+x)=27
9x-9y=27
x-y=27/9
x-y=3
The value of x and y will be 4 and 1.
At x=9 and y=6, the age of the son is obtained as,
=10×6+9
=69 years
Thus, the age of the son will be 69 years.
Learn more about the equation here,
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what is -0.2 as a fraction
-0.2
'0
-0.2 = - .2 = - 2/10 = - 1/5
so
answer is -1/5
Answer:
-0.2 = -1/5
Step-by-step explanation:
you have to turn the decimal to a fraction.
0.2/1
multiply 0.2/1 by 10/10 which is 2/10
Since the GCF is 2...
You want to divide 2/10 by 2/2
that is 1/5
Now add the negative number sign
BOOM
Now you got yourself -1/5
I hope I helped! :)
Write a ratio for the given quantities, then simplify. You will need to convert one quantity so it has the same measuring unit as the other.3000g and 800g
Answer:
3kg:0.8kg
Step-by-step explanation:
I'm not sure if it's right
In an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted. The examination comprises 20 questions. Ananya has answered 12 correct answer and 5 incorrect answers . Find her total score.
Answer:
Ananya's total score was 50 marks.
Step-by-step explanation:
Given that in an examination a candidate scored 5 marks for a correct answer, -2 for an incorrect answer and 0 marks for a question that has not been attempted, and the examination comprises 20 questions, and Ananya has answered 12 correct answer and 5 incorrect answers, to find her total score the following calculation must be performed:
(12 x 5) + ((20 -12 - 5) x 0) + (5 x -2) = X
60 + (3 x 0) + (-10) = X
60 + 0 - 10 = X
50 = X
Therefore, Ananya's total score was 50 marks.
Emmie rolls a dice three times. What is the probability that she will only roll numbers greater than two on all of her rolls?
The ratio x : y is equal to 4x : 3.
Work out the value of y.
y =
Answer:
y=3/4
Step-by-step explanation:
4x/3 = x/y
or, 1/y= 4/3
or, y=3/4
Answer:
y = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Express the ratios in fractional form
[tex]\frac{x}{y}[/tex] = [tex]\frac{4x}{3}[/tex] ( cross- multiply )
4xy = 3x ( divide both sides by 4x )
y = [tex]\frac{3x}{4x}[/tex] = [tex]\frac{3}{4}[/tex]
Which graph below has an EULER PATH?
Answer:I think it is a
Step-by-step explanation:
Answer:
Graph a) is a Euler Path
Odd at D and F
Step-by-step explanation:
A graph has an Euler circuit if and only if the degree of every vertex is even.
A graph has an Euler path if and only if there are at most two vertices with odd degree.
a) Odd at D and F - Euler Path
b) No odds - Euler Circuit
c) Odd at A, C, E, F
d) Odd at A, B, C, D
The solution to 12x = 36 is x =___. (Only input whole number) Numerical Answers Expected!
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
12x = 36
Step 2: Solve for x
[Division Property of Equality] Divide 12 on both sides: x = 3WILL GET BRAINLIEST TO WHOEVER GIVE THE CORRECT AND QUICK ANSWER, NO FAKE ANSWERS TO GET POINTS
The lengths of two sides of a triangle are 10 inches and 4 inches. Which of the following dimensions is the third side of this triangle?
A.
4 inches
B.
5 inches
C.
6 inches
D.
7 inches
Answer:
The answer would be A.) 4 inches
Step-by-step explanation:
It is A. because if the base of the triangle is 10 inches and one side is 4 then the two sides of the trianlge would be the same they are congruent so if one side of the triangle is 4 then the other side of the triangle is 4.
Hope this helps