Answer:
The standard deviation is above 6 mm, which means that this batch does not pass the technical control.
Step-by-step explanation:
Mean of the batch:
The mean of the batch is the sum of all values divided by the number of items. So
[tex]M = \frac{31+32+38+34+45+41+24}{7} = 35[/tex]
Mean in the desired interval.
Standard deviation:
Square root of the sum of the difference squared between each term and the mean, divided by the number of itens. So
[tex]S = \sqrt{\frac{(31-35)^2+(32-35)^2+(38-35)^2+(34-35)^2+(45-35)^2+(41-35)^2+(24-35)^2}{7}} = 6.46[/tex]
The standard deviation is above 6 mm, which means that this batch does not pass the technical control.
Quickly Need help ASAP
Answer:
It's (B), using L'Hopital's Rule.
Write the absolute value equation that is represented by the graph
Answer:
Step-by-step explanation:
g(x) = -|x-3| +4
HELP ME PLEASEEEEEEEEEE
Answer:
The perimeter of rectangle JKLM is 16 units.
Step-by-step explanation:
Perimeter is the area around the shape, so if you look at the space between K and J, the units there are 7. Multiply 7 by 2 (since there are two sides), and then add 2. 2 + 14 = 16.
Answer:
17 units
Step-by-step explanation:
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Belinda builds a rectangular prism that is 2 cubes long, 3 cubes wide, and 2 cubes tall. Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism. What is the volume of April's prism? Use an equation to show your work.
Answer:
96 cubes vol.
Step-by-step explanation:
the volume of Belinda's prism =
2×3×2 = 12 cubes vol.
Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.
the volume of April's prism =
(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.
so,
the volume of April's prism = (2)³ times the volume of Belinda's prism
What does x have to equal to make the statement true (solve for x)
a. 2x =10
b. -3x = 21
c. 1/3(x) = 6
d. -1/2(x) = -7
Answer:
See below
Step-by-step explanation:
2x = 10
Divide by 2.
x = 5
x has to equal 5 to make the first statement true.
Proof:
2x = 10
2(5) = 10
10 = 10
-3x = 21
Divide by -3.
x = -7
x has to equal -7 to make the second statement true.
Proof:
-3x = 21
-3(-7) = 21
21 = 21
1/3(x) = 6
Multiply by 3 to cancel the fraction.
x = 18
x has to equal 18 to make the third statement true.
Proof:
1/3(x) = 6
1/3(18) = 6
6 = 6
-1/2(x) = -7
Multiply by -2 to cancel the fraction.
x = 14
x has to equal 14 to make the fourth statement true.
Proof:
-1/2(x) = -7
-1/2(14) = -7
-7 = -7
Which is the simplified form of the expression?
Answer:
[tex]\frac{1}{x^21y^12}[/tex]
Step-by-step explanation:
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°.
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Automobile engineers wanted to check the effect of a new automatic transmission on mileage. They selected 50 cars of the same make and model. Twenty-five of the cars used the old transmission, while the other 25 cars used the new model of transmission. A hypothesis test on the difference between the means was conducted. Which one of the following is a condition necessary to conduct this test?
a. The standard deviation of each group should be different.
b. The sampling distribution of the difference between the sample means is bimodal.
c. Since the data were random, no linear regression was possible.
d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.
e. The difference between the means was within one standard deviation.
Answer:
d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.
Step-by-step explanation:
A hypothesis test on the difference between the means must satisfy the following conditions
1) the samples must be randomly selected
2) each sample must have a known standard deviation
3) the samples must be independent
4) the samples must be from normal distribution
Hence only part d gives the right answer.
Write an expression to show the sum of g and h reduced by 11.
Answer:
Required expression = (g+h) - 11
Olive flipped a coin and rolled a number cube with the
numbers 1-6 on it. What is the probability that she flipped
heads and rolled an even number?
1
N
3
4
5
6
H
H1
H2
H3
H4
H5
H6
T
T1
T2
T3
T4
T 5
T6
3
3
Answer:
p
Step-by-step explanation:
DUE IN 3 MINUTES PLEASE HELP
Answer:
B. 12^3 - 12^2 - 11
Step-by-step explanation:
........
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
What is the system of linear equations to represent the situation?
Answer:
x+y= 30
8x+7.5y=234
you need to work 18 hours as a dog walker and 12 hours at the carwash
Step-by-step explanation:
x is the number of hours spent dog walking
y is the number of hours spent at the car wash
x+y is to total number of hours work (30)
8x is the amount made dog walking
7.5y is the amount made working at the carwash
234 is the total amount made by working 30 hours
x+y= 30
8x+7.5y=234
to solve:
x+y=30 (isolate the variable x) x=30-y
8(30-y)=234 (substitute in the 30-y for x)
240-8y+7.5y=234 (distribute the 8)
240-.5y=234 (combine like terms)
-.5y=-6 (subtract 240 from each side)
y=12 (divide by .5)
x+12=30 (put 12 in for y)
x=18 (subtract 12 from both sides)
you need to work 18 hours as a dog walker and 12 hours at the carwash
What is an equation of the line that passes through the points (-4, -4) and (4, 6)?
Answer:
y = (5/4)x+1
Step-by-step explanation:
[tex]\frac{y+4}{x+4} =\frac{-4-6}{-4-4}[/tex]
[tex]\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1[/tex]
Suki named a fraction that was not a multiple of. Which fraction could she have
named?
A. 6/4
B. 9/4
с. 10/4
D.12/4
what 2 number multiply to be -12 and add to be -1
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
The 2003 Statistical Abstract of the United States reported that the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30. a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02
Answer:
A sample of 2017 should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30.
This means that [tex]\pi = 0.3[/tex]
Confidence level:
Not given, so I will use 95%.
This means that [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02?
A sample of n should be taken.
n is found fo M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.02})^2[/tex]
[tex]n = 2016.8[/tex]
Rounding up:
A sample of 2017 should be taken.
David inherited some land in 1960 that was valued at $25,000. The value of the land has increased 10% every 5 years. Which function will calculate the value of the land x years after 1960?
Answer:
f(x) = 25,000(0.1)^5x
Step-by-step explanation:
Find the coordinates of the image after a translation of the figure below using (x,y) → (x+3, y + 2).
YA
10
9
8
7
16
5
4
3
B
1
-10-9-8-7 -6 -5 4 3
1
2
3
45
6 7
89
10
3
А
4
D
-5
-8
19
-10
Al
B'(
C'(
Answer:
A(-3,-4)
B(-1,1)
C(3,5)
D(2,-5)
Step-by-step explanation:
if you have any questions about it dont hesitate to ask me
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.
you draw two marbles without replacement from a bag containing four green marbles and five black marbles the number of possible outcomes in the sample spaces
Solve t - 4 > 12
1. t > -12
2. t > 12
3. t > -16
4. t > 16
Answer:
4. t>16
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Cuantos años hay 5823 días
Answer:
16 anos
Step-by-step explanation:
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:
What is 3.4 million divided by 60
Answer:
[tex]56666\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:56,666.666
Step-by-step explanation:
Respuesta
Quick. What is the product of the LCM and the GCD of 6 and 9? ANSWER FAST
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
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Please help me it’s simple but I just have forgotten
9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
Your solution will be in the form ...
y = (something)
In order to get the y-term by itself, you need to add the opposite of everything else*:
3x +y +(-3x) = 0 +(-3x)
y = -3x . . . . . simplify
_____
* Anything you do to one side of the equation must also be done to the other side. Here, we added -3x to both sides.
The velocity function, in feet per second, is given for a particle moving along a straight line.
v(t) = t2 − t − 182, 1 ≤ t ≤ 15
(a) Find the displacement
(b) ) Find the total distance that the particle travels over the given interval.
Answer:
a)2
B)2
Step-by-step explanation: