Answer:
B is the correct answer..
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9. Is there sufficient evidence at the 0.1 level to support the testing firm's claim?
Answer:
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
Step-by-step explanation:
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:
At the null hypothesis, we test if the mean is the same, that is:
[tex]H_0: \mu = 59.5[/tex]
At the alternate hypothesis, we test that it is different, that is:
[tex]H_a: \mu \neq 59.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
59.5 is tested at the null hypothesis:
This means that [tex]\mu = 59.5[/tex]
After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.
This means that [tex]n = 250, X = 59.2, \sigma = 1.9[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}[/tex]
[tex]z = -2.5[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.
Looking at the z-table, Z = -2.5 has a pvalue of 0.0062
2*0.0062 = 0.0124
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
What’s the area of the figure below?
Answer:
482.5 ft^2.
Step-by-step explanation:
The figure can be regarded as a rectangle with a triangle cut out of one corner.
The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.
The required area = area of rectangle - area of triangle
= 25*20 - 1/2 * 5 * 7
= 500 - 17.5
= 482.5 ft^2
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Answer:
482.5 square inches
Step-by-step explanation:
The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.
A = LW - 1/2bh
= (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²
The area of the figure is 482.5 square inches.
Please help and I will give brainliest if u do.
Answer:
See explanation below
Step-by-step explanation:
The width is 4 inches
So, the area of the base is 20 inches squared
The height is 4 inches
So, the volume of the prism is 80 inches cubed
Answer:
is this like BxH or is there a specific equation
Step-by-step explanation:
Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 liter of paint. How many statues can she paint?
Answer:
she can paint 17 statues (with some paint left,but not enough for another statue)
Step-by-step explanation:
7/8 divided into 1/20
is the same as 7/8 multiplied by 20/1
7/8 x 20/1 = 140/8 = 17.5
ion: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $35,000? Use the =α0.01 level of significance and the critical value method with t
Answer:
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
Step-by-step explanation:
Test if the mean tuition and fees for private institutions in California is greater than $35,000.
This means that at the null hypothesis we test if the fee is of $35,000 or less, that is:
[tex]H_0: \mu \leq 35000[/tex]
And at the alternate hypothesis, we test if it is more than this value, that is:
[tex]H_a: \mu > 35000[/tex]
The test statistic is:
As we have the standard deviation of the sample, the t-distribution is used.
[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 and n is the size of the sample.
35000 is tested at the null hypothesis:
This means that [tex]\mu = 35000[/tex]
The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900.
This means that [tex]n = 13, X = 38000, s = 7900[/tex]
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{38000 - 35000}{\frac{7900}{\sqrt{13}}}[/tex]
[tex]t = 1.37[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 38000, which is the pvalue of t = 1.37, with 13 - 1 = 12 degrees of freedom, using a one-tailed test.
With the help of a calculator, this pvalue is of 0.0979.
The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.
Which of the following lists all the positive factors of 8?
O 1,8
O 2,4
O 2, 4, 6
O 8, 16, 32
O 1, 2, 4, 8
Calculator
Which one is correct?
Answer:
C! I remember this hehehehe xD
what is the answer ?
640
240
300
and 320
Step-by-step explanation:
10±10±30±30=80
8round = 80×8=640
don't forget me to followFind the measure of RPQ
Answer:
Step-by-step explanation:
<SRQ = 270 degrees
<RPQ is just 31 degrees short of that amount.
<RPQ = <SRQ - 31
<RPQ = 270 - 31
<RPQ = 239
what 2 number multiply to be -12 and add to be -1
What are the characteristics of a function and how can we identify them?
Answer:
A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.
x is most of the time the input and y the output for an equation:
y = 2x
of course the input and output could be any variable.
Step-by-step explanation:
Have a nice day!
Anybody know the answer to this problem be correct
Answer:
28 out of 40
2(20 - x)/40 for x questions wrong
Step-by-step explanation:
total points: 40
total Qs: 20
20-6 = 14
14/20 = 28/40
28
Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress
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Answer:
2 11/12 yards
Step-by-step explanation:
Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.
1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12
Carol will need 2 11/12 yards of the material for the dress.
Answer:
2 11/12 yards
Step-by-step explanation:
all real numbers are complex numbers also. true or false?
Answer:
From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.
Please help me please
Answer:
F
Step-by-step explanation:
Andrew, Blake, Jamal, Ernesto
2x+3x-4y+7y-x+20. Find equal expressions
Answer: 4x + 3y +20 is your answer hope this helped
plz make brainly
Step-by-step explanation:
i hope it helps XD......
What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-(-1))/(-8-4)
m=(-7+1)/-12
m=-6/-12
m=1/2
y-y1=m(x-x1)
y-(-1)=1/2(x-4)
y+1=1/2x-4/2
y=1/2x-2-1
y=1/2x-3
Let g(x)x and h(x)
. Evaluate .
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Answer:
h(g(x)) = (1/5)x² +4/5
Step-by-step explanation:
[tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]
Find the measure of angle BAC. (The figure is not drawn to scale.)
A. 22
B. 34
C. 68
D. 136
If angle BOC in circle is 68° then the measure of angle BAC is 34°.
Given that angle BOC in the circle is 68°.
We have to find the angle BAC.
We have that m∠BOC=arc BC ------by central angle.
we have m∠BOC=68°.
therefore arc BC=68°.
We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1
In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.
We have that arc BC=68°
substitute arc BC in equation 1 to get the measurement of ∠BAC.
m∠BAC=[tex]68/2[/tex]
=34°
Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.
Learn more about angles at https://brainly.com/question/25716982
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A jar contains 4 marbles marked with the numbers 1 through 4. You pick a marble at random. What is the
probability of not picking the marble marked with the number 3? Enter your answer as a simplified
fraction.
The probability of not picking the marble marked with the number 3 is
Answer:
p =favorable outcome/possible outcome
p(not 3)=3/4
How many centimeters are equal to 0.4 inches? Remember, 2.54 cm = 1 in.
Enter you number as a decimal and round to the nearest hundredth. 
Answer:
1.016 cm
Step-by-step explanation:
1 inch = 2.54 cm
0.4 inch = 2.54 * 0.4 cm = 1.016 cm
If θ is a second-quadrant angle and cosθ = - 2/3, then tanθ=
a. -2 (sqrt 5)/5
b. - (sqrt 5)/2
c. - (sqrt 5)/3
Answer:
since in second quadrant cos θ is negative.
Cos θ=b/h=2/3
b=2
h=3
p=√(3²-2²)
p=√5
Now
Tan θ=p/b=√5/2
since in second quadrant tanθ is negative
so
Tanθ=-√5/2
b. - (sqrt 5)/2
In second Quadrant cos is negative
cosØ=b/h=2/3So
b=2 and h=3
Perpendicular
p²=h²-b²p²=3²-2²p²=5p=√5tanØ=-p/b =-√5/2
Solve t - 4 > 12
1. t > -12
2. t > 12
3. t > -16
4. t > 16
Answer:
4. t>16
hope it helps......
Use the table to work out the values of a, b, c, and d.
20
= 22 + 3
2
_3
2
2
a
1
b
0
-2
1
2
2
с
3
d
a =
b =
с
= d
Step-by-step explanation:
What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?
a = 2, b = 4, c = 3
a = 2, b = 4, c = –3
a = –2, b = 4, c = 3
a = –2, b = 4, c = – 3
Answer:
a = –2, b = 4, c = – 3
Step-by-step explanation:
We are given the following quadratic equation in the question:
-2x^2 + 4x - 3 = 0−2x
2
+4x−3=0
General form of quadratic equation:
ax^2 + bx + c = 0ax
2
+bx+c=0
Comparing the given equation to general quadratic equation, we get,
a = -2, b = 4, c = -3a=−2,b=4,c=−3
Thus, the correct answer is
Option D) a = –2, b = 4, c = – 3
The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.
The standard equation of a quadratic equation is ax²+bx+c = 0,
Comparing the given equation with the standard equation,
We get, a = -2, b = 4, c = -3
Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3
Learn more about quadratic equation click;
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Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping mall will decrease by 3% each hour. Find the total number of people entering the shopping mall at the end of 4 hours. (Round your answer to the nearest whole number if necessary.)
Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that [tex]A(0) = 109[/tex]
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that [tex]r = 0.03[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 109(1-0.03)^t[/tex]
[tex]A(t) = 109(0.97)^t[/tex]
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
[tex]A(4) = 109(0.97)^4 = 96.49[/tex]
Rounding to the nearest whole number, 96 people.
This is the other question but also you can use the letters that’s on the right side !!
Answer:
Chrome and camera. 1000 mistakes
Step-by-step explanation:
bvggifui good go you uuuu to yyytyyyyggyhgghhhghhhhhhhhhbbhvvvdf uh oh utgggy
Ashas age is twice the age of Roman. After how many years will Roman be two third of Ashas age?
Answer:
5
Step-by-step explanation:
Which of the following is an example of a two-way ANOVA test? a.) Comparing the number of hours of sleep for freshman, sophomores, juniors, and seniors. b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night. c.) Studying the number of hours of sleep for freshmen, sophomores, and juniors. d.) Comparing the number of hours that freshman and seniors study during a semester.
Answer:
b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.
Step-by-step explanation:
Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.
Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.
look at the picture above please help
Answer:
♨ [tex] \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : [/tex]
☄ [tex] \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : [/tex]
Height ( h ) = 4 cm , Base ( b ) = 16 cm☂ [tex] \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: [/tex]
Area of the parallelogram☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]
☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]
~Plug the known values & then multiply!
⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]
⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]
☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]
♡ Hope I helped! ツ
Have a wonderful day / night !
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✔
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]
Given:
base[b]=16cm
height [h]=4cm
we have
Area of parallelogram=base ×height
=16×4=64cm²is your answer.