Answers
Answer:
1)x=2
2)4<x
3)x<4/5
4)1<x
Related Questions
Automobiles manufactured by the Efficiency Company have been averaging 42 miles per gallon of gasoline in highway driving. It is believed that its new automobiles average more than 42 miles per gallon. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 42.8 miles per gallon with a standard deviation of 1.2 miles per gallon. Show all work.
a. With a 0.05 level of significance using the critical value approach, test to determine whether or not the new automobiles actually do average more than 42 miles per gallon.
b. What is the p-value associated with the sample results? What is your conclusion based on the p-value?
Answers
Answer:
Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.
Step-by-step explanation:
H0 : μ = 42
H1 : μ > 42
Sample size, n = 36
xbar = 42.8
Standard deviation, s = 1.2
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(42.8 - 42) ÷ (1.2 / sqrt(36))
0.8 ÷ 0.2 = 4
Test statistic = 4
Zcritical at 95% for a one - tailed test (right tailed) = 1.645
Test statistic > Critical value ; 4 > 1.645
Since Test statistic > Critical value ; We fail to reject the Null
Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.
The Pvalue :
P(Z < 4) = 0.99997
Since,
Pvalue > α
0.99998 > 0.05 ; We fail to reject the Null
Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.
can someone please help me of really appreciate it , i’ll give you brainliest !!
Answers
Answer:
It would be the second answer, x=-3
Step-by-step explanation:
Exponents: 7-3= 4
3 to the power of 4 = 81
help the work hurts meee!!!!!!!!!!!!! and show thee work
Answers
12 in is 1 ft, 5 in is ~0.41 ft, 13 in is ~1.08 ft
16 oz is 1 lb, 9 oz is ~0.56 lbs, 18 oz is ~1.13 lbs
You have two pitchers and each can contain 600 ml of liquid. One pitcher is one-third full and contains vinegar. The other pitcher is two-fifths full of vinegar. Oil is added to fill each pitcher completely. The contents of each pitcher are poured into one large container. What fraction of the mixture in the large container is vinegar?
Answers
Answer:
answera c
Step-by-step explanation:
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each verbal description to its equivalent function rule as applied to the given function below.
f(x) = 7x + 5
Answers
Answer:
-The function f translated 2 units down and 3 units right. > g(x)=7x-18
-The function f stretched vertically by a factor of 3 and translated up by 2 units. > g(x)=21x+17
-The function f stretched vertically by a factor of 2 and translated down by 3 units. > g(x)=14x+7
-The function f reflected about the y-axis and translated 3 units left. >g(x)=-7x-16
Step-by-step explanation:
-A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.
-A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.
-A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.
-A function is reflected about the y-axis when the x-value is multiplied by a negative constant.
Answer:
The function f stretched vertically by a factor of 3 and translated up by 2 units.
g(x)=21x+17
The function f translated 2 units down and 3 units right.
g(x)=7x-18
The function f reflected about the y-axis and translated 3 units left.
g(x)=-7x-16
The function f stretched vertically by a factor of 2 and translated down by 3 units.
g(x)=14x+7
Step-by-step explanation:
Functions can be moved and re-sized by changing the parameters of the function.
A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.
A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.
A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.
A function is reflected about the y-axis when the x-value is multiplied by a negative constant.
please answer!
The expression 8x − 4 represents the
cost of 8 pairs of socks Emma bought,
less the $4 coupon she had. Which
property is applied to the expression to
write the equivalent expression
4(2x − 1)? Explain.
Answers
Answer:
Step-by-step explanation:
distributive property
What number is 5/8 of 56
Answers
Answer:
35
Step-by-step explanation:
Answer:
The answer is 35
Step-by-step explanation:
5/8 x 56
5 x7 = 35
I HATE MATH so if u help me I’ll give y a kiss muah
Answers
help! how do i do this?
Answers
Answer:
See below
Step-by-step explanation:
5)
k/x = w - v
Multiply by x to get it out of the denominator of the fraction.
k = wx - vx
Switch the terms so they are easier to work with.
wx - vx = k
Factor x out.
x(w - v) = k
Divide by w - v to get x by itself.
x = k/w - v.
6)
ac = d - r
Divide by c to get a by itself.
a = d/c - r/c
Combine the two fractions to simplify.
a = d-r/c.
3/4(5a - 16)- 1/3(6a-3)
Answers
Answer:
If you want an expression answer (Simplify):
= 7/4a - 11
If you want an answer to the variable a (Find 'a'):
7/4a - 11 = 0
7/4a = 11
a = 44/7
Step-by-step explanation:
3/4(5a - 16) - 1/3(6a - 3)
= 15/4a - 12 - 2a + 1
= 7/4a - 11
What is the solution of 3+x-2/x-3<_4
Answers
Step-by-step explanation:
3+x-2/x-3<_4
cross multiply
3+x-2<_4(x-3)
3+x-2<_4x-12
1+x<_4x-12
collect like terms
1+12<_4x-x
13<_3x
divide both side by 3
13/3<_×
6.5<_x
Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much does he spend buying lunch?
Answers
Can someone help me pls
Answers
Answer:
PΔJKL=66
Step-by-step explanation:
so we are given the line segments JK, KL, and LJ which are tangent to k(O), and also that JA=9, AL=10, and CK=14
JL=JA+AL (parts whole postulate)
JL=9+10=19 (substitution, algebra)
JA=JB=9 (tangent segments from the same point are congruent)
CK=KB=14 (tangent segments from the same point are congruent)
JK=JB+KB (parts whole postulate)
JK=9+14=23 (substitution, algebra)
LA=LC=10 (tangent segments from the same point are congruent)
LK=LC+CK (parts whole postulate)
LK=10+14=24 (substitution, algebra)
Perimeter of ΔJKL=LK+KL+LJ (perimeter formula for triangles)
Perimeter of ΔJKL=23+24+19=66 (substitution, algebra)
What is the value of x in the triangle? 25 degrees x 25 degrees
Answers
Answer:
Step-by-step explanation:
0,5
You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?
Answers
Answer:
495 milliliters of the 95% mixture are needed.
Step-by-step explanation:
Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:
55 x 0.45 + 45 x 0.95 = 67.5
25 x 0.45 + 75 x 0.95 = 82.5
15 x 0.45 + 85 x 0.95 = 87.5
10 x 0.45 + 90 x 0.95 = 90
10 = 55
90 = X
90 x 55/10 = X
4,950 / 10 = X
495 = X
Thus, 495 milliliters of the 95% mixture are needed.
Jeremy has a stand in the farmer's market where he sells strawberries by the pound. The table shows the weights of the strawberries and the prices per quantity. The relationship between the amount of strawberries in pounds and the price is a proportional relationship.
Which statement is true?
A.)The table does not represent a proportional relationship because the differences between consecutive terms in each column do not have the same ratio.
B.)The table does not represent a proportional relationship because the ratio between the price column and the weight column is not the same for each row.
C.)The table represents a proportional relationship because the differences between consecutive terms in each column have the same ratio.
D.)The table represents a proportional relationship because the ratio between the price column and the weight column is the same for each row.
Answers
What is the volume of a sphere with a surface area of 16pi ft^2?
Answers
Answer:
B
Step-by-step explanation:
Sphere Surface Area = 4 • π • r²
For it to equal 16 PI, then radius must equal 2
4*PI*2*2 = 16 PI
Sphere Volume = 4/3 • π • r³
Sphere Volume = 4/3 • π • 2^3
Sphere Volume = 4/3 *PI * 8
Sphere Volume = 32 / 3 PI
Sphere Volume = 10.666 PI cubic feet AND I think that is answer B
which SHOULD read 10 (2/3) PI ft^3
Weight of three books are 23⁄4 kg, 35⁄6 kg and 23⁄8 kg. Find the total weight of all the three books.
Answers
Answer:
12.54kg
Step-by-step explanation:
(23/4 + 35/6 + 23/8)kg
[tex] = \frac{(23 \times 6) + (35 \times 4) + (23 \times 3)}{24} [/tex]
[tex] = \frac{92 + 140 + 69}{24} [/tex]
= 301/24
= 12.54kg
can anyone help me with this please! Serious plz lol
Answers
I hope this helps you
find the volume of the cone. Diameter:14 m, Slant Height:25 m
Answers
Answer:
1232m^3
Step-by-step explanation:
d = 14m
r = 7m
l = 25m
h = ?
h = root l^2- r^2
h = root 25^2- 7^2
h = root 625- 49
h = root 576
h = 24m
volume of cone = 1/3 pie r^2 h
= 1/3*22/7* 7*7*24
= 22*7*8
= 154*8
= 1232m^3
Answer:
1231.5 m³
Step-by-step explanation:
You have to find the height first.
using the Pythagoras rule,
hypotaneous² = base² + height²
25² = 7² + h²
576 = h²
h = √576
h = 24
Volume of cone = 1/3 π r² h
= 1/3 * π* 7² * 24
= 1231.5 m³
Find AC and BC.
Answers:
14.94
13.46
11.10
10
Please help.
Answers
Step-by-step explanation:
Use Sine rule.
[tex] \frac{ac}{ \sin(b) } = \frac{ab}{ \sin(c) } \\ \frac{ac}{ \sin(90) } = \frac{10}{ \sin(42) } \\ ac \sin(42) = 10 \sin(90) \\ ac = \frac{10 \sin(90) }{ \sin(42) } \\ ac = 14.9 \: units \: (3s.f)[/tex]
Angle A + angle B + angle C = 180 (sum of angles in triangle)
Angle A + 90 + 42 = 180
Angle A + 132 = 180
Angle A = 180 - 132
= 48
[tex] \frac{bc}{ \sin(a) } = \frac{ab}{ \sin(c) } \\ \frac{bc}{ \sin(48) } = \frac{10}{ \sin(42) } \\ bc \sin(42) = 10 \sin(48) \\ bc = \frac{10 \sin(48) }{ \sin(42) } \\ = 11.1units (3sf)[/tex]
Find the 12th term of the arithmetic sequence whose common difference is d=-7 and whose first term is a = 10.
Answers
Answer:
87
Step-by-step explanation:
tn= a + (n-1)d
t12 = 10 + (12-1)7
=87
hep me with this question
Answers
x=3 for both of the questions
Find the area of the composite figure below:
Answers
Answer:
[tex] 379 \: {units}^{2} [/tex]
Step-by-step explanation:
Area of the composite figure
= Area of rectangle with dimensions 17 & 11 units + Area of trapezoid with length of parallel sides 11 and 21 units and height (29 - 17 = 12) 12 units.
[tex] = 17 \times 11 + \frac{1}{2} (11 + 21) \times 12 \\ \\ = 187 + 32 \times 6 \\ \\ = 187 + 192 \\ \\ = 379 \: {units}^{2} [/tex]
Isaiah has 2 3/5 cups of dough to make dumplings. If he uses 1/5 cup of dough for each dumpling, how many dumplings can Isaiah make?
Answers
Now that you have 13/5, you will see it’s much easier to divide! There are thirteen fifths cups of dough and he needs one fifths cups of dough for each dumpling. This means he can make 13!
Answer:
Step-by-step explanation:
You can convert 2 3/5 into 13/5 because 5/5 = 1 and 10/5 = 2.
Now that you have 13/5, you will see it’s much easier to divide! There are thirteen fifths cups of dough and he needs one fifths cups of dough for each dumpling. This means he can make 13!
express your answer in scientific notation 4.9x 10^5 - 5.8x 10^4
Answers
Answer:
4.32×10^5
first calculate the left side and the calculate the right side.
finaly substract the result you get when you calculate at the first the result is 4.32 ×10^5
John withdrew 1/4 of his savings to use as deposit on a new phone.He had 164.00 in his savings account.How did John withdrew for the deposit on the phone
Answers
Answer:
$41
Step-by-step explanation:
Well he withdrew 1/4 of his savings which is basically 1/4 * 164
Which 2 triangles are similar
Answers
Answer:
Triangle A and B
Step-by-step explanation:
The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.
A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?
Answers
Answer:
4 feet is left in the wall
Step-by-step explanation:
If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.
Answer:
2 ft.
Step-by-step explanation:
14 - 10 = 4.
4/2 = 2
You divide beacuse theres space on botrhsides of the painting.
which of the following expressions has a coefficient of 10 and a constant of 5
10 + 5x
10+5
10x+5
10-5
Answers
Answer:
sometinng like x^2+ 10x+5
The single number is the constant and the number before the variable(x) is the coefficient
Step-by-step explanation: