To find the guarantee time for an oil change and lubrication job, calculate the z-score for the 1% percentile of a standard normal distribution and use the formula z = (x - μ) / σ to solve for x. Round x to the nearest whole number.
Explanation:The question is asking for the guarantee time that an auto service shop should offer for an oil change and lubrication job. To find this, we need to calculate the z-score that corresponds to the 1% percentile of a standard normal distribution. The z-score can be found using a z-table or calculator, and then we can use the formula z = (x - μ) / σ to solve for x. Round x to the nearest whole number to get the guarantee time.
Factor this expression: ab + 4 + a + 4b
Grouping method works best on this one:
ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)
Answer:
Grouping method works best on this one:
ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)
Step-by-step explanation:
How to tell if an equation has no solution without solving?
In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance? In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance?
Answer:
The weight loss program is statistically significant.
Step-by-step explanation:
We can define a statistically significant difference or result as a result which is not attributed to chance. In other words we can say that a statistical significance shows if the difference observed between groups is real or if it has occurred simply due to chance.
Here, given is that 40 subjects lost a mean of 3.0 lb after 12 months.
So, here the weight loss program is statistically significant as the results are unlikely to occur by chance.
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
Enter your answer in the box.
Answer:
the slope is 3/4
Step-by-step explanation:
the slope is 3/4 because 3 is the y line and 4 is the x line giving you 3/4 as your slope.
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
The given line equation is:
3y = -4x + 2
Express the equation in the point-slope form of a line equation
The point-slope form of the equation of a line is y = mx + c
where m represents the slope
and c represents the y-intercept
3y = -4x + 2
[tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex]
Comparing the equation [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] with y = mx + c:
The slope, m = -4/3
The slope of the line perpendicular to [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] will be:
[tex]m_2= \frac{-1}{m} \\\\m_2= \frac{-1}{\frac{-4}{3} }\\\\m_2 = \frac{3}{4}[/tex]
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
Learn more here: https://brainly.com/question/1417258
Thursday is 3 days before 2 days before today. what was yesterday?
"Thursday is 3 days before 2 days before today. "
This means Thursday is 5 days before Today.
So, what is 5 days after Thursday?
It is Tuesday [which is Today].
If today is Tuesday, what was yesterday? It was Monday.
ANSWER: Monday
Else's math class has 11 female students and 10 male students.Write the ratio of female students to the total number of students in two different ways.
The detailed answer explains how to write the ratio of female students to the total number of students in two different ways.
The ratio of female students to the total number of students:
11 female students to 21 total students: 11/21
Alternatively, you can simplify the ratio to 1 female student to 2 total students: 1/2
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?
Which three expressions could be used to represent the numbers?
n; n - 4; 4n
n; 4 - n; n + 4
n; n/4; n + 4
find an angle measure that is supplementary to this angle 126 degrees
Answer:
Step-by-step explanation:
Answer:
54°
Step-by-step explanation:
The sum of the measures of two supplementary angles is 180°.
180° - 126° = 54°
Answer: 54°
How to solve it using the system of substitution
A card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a black card.
The probability that the card is an ace or a black card is 7/13
Probability is the likelihood or chance that an event will occur.
A standard card contains 52 cards. Hence the total outcome is 52.
Since there are 4 aces, the expected outcome is 4The total number of black cards is 26The total card that is ace and black is 2Get the required probability;
Prob(ace or black card) = Prob(ace) + Prob(black card) - P(ace and black card)
Prob(ace or black card) = 4/52 + 26/52 -2/52
Prob(ace or black card) = 28/52
Hence the probability that the card is an ace or a black card is 7/13
Learn more on probability here: https://brainly.com/question/14192140
4. The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of each side of the window? A. 12 inches B. 6 inches C. 8 inches D. 10 inches
What is the value of x
select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)
Which is the quadratic variation equation for the relationship y varies directly with x^2 and y=72 when x=3
y =72
x = 3
X^2 = 3^2 = 9
k = y/x = 72/9 =8
so you should have an option of:
y =8x^2
Dani is working a sample booth at the national soda and beverage convention. She is paid $1.50 for each of the first ten tastings $2.50 for each of the next twenty tastings and $4.00 for each tasting beyond thirty she conducts each day. Today Dani conducted 36 tastings. How much total pay did Dani earn today?
The drama club can wash 9 cars in 40 minutes. At this rate, how many cars can they wash in 2 hours?
2Hr=120min 120/40=3 9*3=27
they can wash 27 cars in 2 hours
Find the point on the line y = 92x closest to the point (1, 0)
How many solutions are there?
Complete the point-slope equation of the line through (-4,8) and (4,4)
Answer:
Step-by-step explanation:
How to turn a repeating decimal into a fraction 0.1515?
take the first 2 numbers and put them over 99
so 0.151515 would become 15/99
At a bargain store tanya bought three items that each cost the same amount. tony bought 4 items that each cost the same amount, but each was $2.25 less than the items than the items that tanya bought both tana and tony paid the same amount of money what was the individual cost of each persons item
The coefficients of the expression 5x^4-4x^2+3 are??
What is the slope-intercept form of the linear equation 2x + 3y = 6?
Drag and drop the appropriate number, symbol, or variable to each box.
we know that
The equation of the line into slope-intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]2x+3y=6[/tex]
Isolate the variable y
[tex]3y=-2x+6[/tex]
[tex]y=-\frac{2}{3}x+\frac{6}{3}[/tex]
[tex]y=-\frac{2}{3}x+2[/tex]
the slope is [tex]m=-\frac{2}{3}[/tex]
the y-intercept is [tex]b=2[/tex]
the answer in the attached figure
The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2
A linear equation is given by:
y = mx + b;
Where y,x are variables, m is the slope of the line and b is the y intercept.
Given the equation 2x + 3y = 6, to represent in slope intercept form, we have to make it in the form y = mx + b, hence:
2x + 3y = 6
3y = -2x + 6
Dividing through by 3:
y = (-2/3)x + 2
The slope-intercept form of the linear equation 2x + 3y = 6 is y = (-2/3)x + 2
Find out more at: https://brainly.com/question/18672496
Given that x is a positive number, Niram conjectured that x3>x2 .
What value is a counterexample to Niram's conjecture?
−5
110
1
5
Please help me with this!!
A ray that contains a point that is equidistant from both sides of the angle. *
150 adults complete a survey. 80 are women. Write the ratio men:women in its simplest form?
Total number of adults are 150 that complete the survey in which 80 are women and 70 are men and the ratio of men:women in its simplest form is 7:8 which can be determine by using simple arithmetic operations.
Given :
Total number of adults = 150.
Total number of Women = 80.
Arithmetic operations can be use to determine the total number of Men. To evaluate the total number of men following steps can be use:
Step 1 - Let the total number of men be x.Step 2 - Now, the total number of adults is 150 that is:150 = x + 80 ---- (1)
Step 3 - Subtract 80 from both the sides of the equation (1).150 - 80 = x + 80 - 80
70 = x
Therefore, the total number of men present in 150 adults are 70. Now, the ratio of men:women is given by:
[tex]\rm \dfrac{men}{women} = \dfrac{70}{80}[/tex]
[tex]\rm \dfrac{men}{women } = \dfrac{7}{8}[/tex]
So, the ratio men:women in its simplest form is 7:8.
For more information, refer the link given below
https://brainly.com/question/22687297
5. A piece of plywood has a length that is 5 more than twice its width. Write the expression that represents the area of the plywood.
An ion has a charge of +7. How far is it from being neutral?
A. -0.07
B. -7
C. 7
D. 70
E. 0.7
Answer:
B. -7
Step-by-step explanation:
An atom has a neutral charge with equal numbers of positive and negative particles,
That is, an atom with no chargen or 0 charge is called neutral.
Given,
The ion has a charge of +7,
Also, + 7 - 7 = 0,
Thus, for being neutral the ion needs -7 charge,
Hence, option 'B' is correct.
A set of positive and negative rational numbers are shown. 715 , –215 , 1115 , 415 , –815 What is the difference between the largest and the smallest numbers in the list?