Answer:
a = 8
Step-by-step explanation:
11a = 88
divide both sides by 11.
a = 8
An automobile manufacturer claims that its jeep has a 59.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating. After testing 160 jeeps, they found a mean MPG of 59.7. Assume the standard deviation is known to be 1.3. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.
Answer:
The value of the test statistic is -0.97
Step-by-step explanation:
This test is two tailed test.
Null and Alternative hypothesis is as follow
Null Hypothesis is used when it is assumed that there is no significant difference between the values.
Null Hypothesis = [tex]H_{0}[/tex] = [tex]\mu =[/tex] 59.8
The Alternative hypothesis is the alternative of the Null Hypothesis. It is an experimental technique that is used when it is assumed that there is some difference
Alternative Hypothesis = [tex]H_{a}[/tex] = [tex]\mu \neq[/tex] 59.8
Test statistcs is z
The value of test statistics can be calculated using the following formula
Test Statistics [tex]= (\bar x - \mu ) / \sigma / \sqrt n[/tex]
Test Statistics [tex]= (59.7-59.8) / 1.3 / \sqrt 160[/tex]
Test Statistics = -0.97
Help me.. People who are just trying to get points by just spamming peoples questions, will be reported
Answer:
I'd say half
Step-by-step explanation:
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the percent of change in the average hours of his sleep? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK. DO NOT BOTHER ANSWERING IF YOU DO NOT TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage
A hockey team scored the following number of goals in their last 5 games:
2, 3, 5, 3, 2
Which is the mean absolute deviation of the number of goals?
Answer:
3.3
Step-by-step explanation:
1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:
Answer:
Cuadrilátero A: [tex]A = y^{2}+4\cdot y +4[/tex]
Cuadrilátero B: [tex]A = a^{2}+6\cdot a + 9[/tex]
Step-by-step explanation:
Existen dos formas distintas de determinar las áreas de cada cuadrilátero:
(i) Obtener el área de cada cuadrado y sumar los resultados.
(ii) Calcular los lados del cuadrilátero grande y determinar el área.
Cuadrilátero A
Método (i)
[tex]A = y^{2}+2\cdot y +4+2\cdot y[/tex]
[tex]A = y^{2}+4\cdot y +4[/tex]
Método (ii)
[tex]A = (y+2)\cdot (y+2)[/tex]
[tex]A = y^{2}+4\cdot y + 4[/tex]
Cuadrilátero B
Método (i)
[tex]A = a^{2}+3\cdot a +9 + 3\cdot a[/tex]
[tex]A = a^{2}+6\cdot a +9[/tex]
Método (ii)
[tex]A = (a+3)\cdot (a+3)[/tex]
[tex]A = a^{2}+6\cdot a + 9[/tex]
Round to 2 significant figures 0.000789
Answer:
0.00079
Step-by-step explanation:
Leading zeroes dont count as sig figs, just round the final value and that gives your answer in 2 sig figs.
Which of the following integers is a solution to the inequality below?
-3x - 7 ≤ -7x - 27
Select one:
a. -6
b. 1
c. -3
d. 4
Can someone help me please it’s urgent what’s the answer or property of c?
Answer:
Associative property
Step-by-step explanation:
PLEASE HELP IMMEDIATELY!!!
APQR is similar to AXYZ.
What is the length of XZ?
Answer:
15
Step-by-step explanation:
scale factor is 1.5
10*1.5 =15
Help please! I need help with this two step equations
Answer:
search it up on goggle lll
Answer:
3
Step-by-step explanation:
My new speaker costs $154.00, but I also had to
pay 61 tax. How much did I pay in total for my speakers
Answer:
$247.94
Step-by-step explanation:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
are any of you in the 9th grade and good with math? 2 (x2 - 3) + x (x - 7)
Answer:
[tex]3x^{2} - 7x - 6[/tex]
Step-by-step explanation:
[tex]2x^{2} - 6 + x^{2} - 7x[/tex]
[tex]3x^{2} - 7x - 6[/tex]
7. The school librarian orders 35 new
books each year. How many new
books did the librarian order in the
past 12 years?
Answer:
420
Step-by-step explanation:
35x12
100 POINTS!!!
Reggie went out to eat with his family.
The cost of their food was $48.50, plus Reggie gave the waiter an 18% tip.
What was the total price of their meal, including the food and the tip!
A. $57.23
B. $48.68
C. $87.30
D. $50.30
Answer:
A) $57.23
Step-by-step explanation:
0.18 x 48.5= $57.23. Hope this helped!
PLEASE ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYY PLS AND TY
Answer:
it is a function
Step-by-step explanation:
Domain is 7 and the range is all the x values
Find the slope and y-intercept of the graph of the equation y=1/2x+7
y + 8 = 2
How do you show your work for this problem ?
Answer:
-6
Step-by-step explanation:
y+8=2
-8. -8 -> subtract 8 to leave y by itself
y=-6
Answer: Well you have to subtract 8 from both sides so 8-8 crosses off 2-8 equals -6 so y equals -6.
Step-by-step explanation:
Hope it helps! Mark me brainliest.
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is the length of the pen, in feet?
Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
Arlene borrows $400 on a 4-year loan. She is charged 5% simple
interest per year. How much interest is she charged for 4 years? What
is
the total amount she has to pay back?
I
Answer:
For 4 years she is charged $20. She has to pay back $420
Step-by-step explanation:
(25 + 19) + 15 = (19 + 25) + 15
What property is that equation
Answer:
Commutative Property
Step-by-step explanation:
It looks like Associative property which is when you change the GROUP, but actually it’s commutative because it didn’t change any numbers in the group, just the order of where they were.
Associative: (25 + 19) + 15 = (15 + 19) + 25
Commutative: (25 + 19) + 15 = (19 + 25) + 15
It didn’t change the numbers, only the order. Therefore, it would be commutative property
Answer:
25+19=44
44+15=59
19+25=44
44+15=59
Hellppppp........ pleasee
Answer:
Step-by-step explanation:
The set of points in the 2nd row does not represent a function, because the x-coordinate 2 is associated with more than one y-coordinate.
Functions are one-to-one: For each x value there is one y value associated.
What is the fraction equivalent of 2.151515?
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
Select the expression(s) that simplifies to a value of 4.
3 + 8 ÷ 2 x 4
2 x 5 - 4 + 1
12 ÷(8 - 6 + 1)
9 ÷3 x 3 + 3
Two of the angles are 90 degrees and 40 degrees. What is the measure of the missing angle? *
Enter only a two digit number.
What is the value of d in the equation?
d'= 14
A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough customers need to accept the plan for it to be successful. Suppose that among 50 major customers, 15 would accept the plan. The utility selects 10 major customers randomly (without replacement) to contact and promote the plan. a. What is the probability that exactly two of the selected major customers accept the plan
Answer:
0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan
Step-by-step explanation:
The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
50 major customers, 15 would accept the plan.
This means that [tex]N = 50, k = 15[/tex]
The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.
This means that [tex]n = 10[/tex]
a. What is the probability that exactly two of the selected major customers accept the plan
This is P(X = 2).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406[/tex]
0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan
what is the GCF of 8,12,16
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
4 * 2 = 8
4 * 3 = 12
4 * 4 = 16
at school there are 8 students who only play violin, 10 students who only play guitar, 3 students who play both, and 12 students who don't play any instrument at all. if a student is randomly selected from this school, what is the probability that they play violin or guitar
Answer:
[tex]\frac{7}{11}[/tex]Step-by-step explanation:
[tex]\frac{21}{33}[/tex] simplified would be [tex]\frac{7}{11}[/tex]
The probability that they play violin or guitar is 7/11 .
What is Probability ?Probability is the likeliness of an event to occur.
It is given that
The number of students who only play violin is 8
The number of students who only play guitar is 10
The number of Students who play both is 3
The number of students who don't play either is 12
Total Students = 8+10+3+12 = 33
Total favorable outcomes (violin or guitar) = 8 + 10 +3
Probability = Total favorable outcomes / Total outcomes
Probability = 21 / 33
Probability = 7/11
Therefore the probability that they play violin or guitar is 7/11 .
To know more about Probability
https://brainly.com/question/11234923
#SPJ2
1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
Answer:
.8x
Step-by-step explanation: