Answer:
Yes, we reject the auto maker's claim.
Step-by-step explanation:
H0 : μ ≥ 20
H1 : μ < 20
Sample mean, xbar = 18 ;
Sample size, n = 36
Standard deviation, s = 5
At α = 0.01
The test statistic :
(xbar - μ) ÷ s /sqrt(n)
(18 - 20) ÷ 5/sqrt(36)
-2 /0.8333333
= - 2.4
Pvalue from test statistic : Pvalue = 0.00819
Pvalue < α
0.00819 < 0.01
Hence, we reject the Null
A package of 12 pencils costs $0.96. At this rate, how much would 100 pencils cost?
A. $8.35
B. $10.80
C. $9.60
D. $8.00
Answer:
B
Step-by-step explanation:
Please Give brainliest
Answer:
D
Step-by-step explanation:
Martin recorded the low temperatures at his house for one week. the temperatures are shown below -
-7, -3, 4, 1, -2, -8. 7
Approximately what was the average low temperature of the week?
Answer:
The average temp was 4
Step-by-step explanation:
You have an annual salary of $85,063. Your monthly expenses include a $1,555 mortgage payment, a $274 car lease payment, $139 in minimum credit card payments, and a $179 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE
Answer:
DTI ratio in percentage = 30.29%
Step-by-step explanation:
Annual salary = $85,063
This means that gross monthly pay = 85063/12 = $7088.58
Now,
Total monthly debt payments = 1555 + 274 + 139 + 179 = $2147
Debt to income ratio = (2147/7088.58) × 100% = 30.29%
Gary is 4 years less than three times his brothers age, \displaystyle bb. The sum of Gary and his brothers' age is 52. Write an equation to represent this relaitonship.
(PLS HELP ME WITH THAT QUESTION! IF YOU HELP ME I GIVE YOU BRAINLIEST I SWEAR)
Can someone please help me with 1-9
Answer: 1. No because there are no numbers to solve it. 2. Yes, has numbers. 3.Yes, has numbers. 4.No because there are no numbers to solve it. 5. not sure 6.not sure 7. not sure 8.not sure 9. not sure
Step-by-step explanation:
Mrs. Hinojosa had 75 feet of ribbon. If each of the 18 students in her
class gets an equal length of ribbon, how long will each piece be?
Write your answer
2. Using a whole number of feet and a whole number of inches
Using the information in part A, interpret the meaning of the quotient in terms of the two fractions given
Answer:
hello the information in part A is missing below is the missing information
How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work
answer : 8
Step-by-step explanation:
The quotient in terms of the two fractions
Determine 2/3 foot that can be gotten from 5 1/3
Divide 5 1/3 by 2/3 ( how to get quotient )
= 5 1/3 / 2/3
= (16 / 3 ) / ( 2/3 ) ( meaning of the quotient )
= 8
The graph shown is a scatter plot:
A scatter plot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point A has coordinates 8 and 70. Point B has coordinates 1 and 20, point C has coordinates 3 and 40, point D has coordinates 7 and 30. Additional points are located at 2 and 10, 2 and 20, 3 and 30, 5 and 50, 5 and 40, 7 and 70, 7 and 60.
Which point on the scatter plot is an outlier? (4 points)
Group of answer choices
Point D
Point B
Point C
Point A
Answer:
D
Step-by-step explanation:
if we see on the graph, the point which is scattered is point D !
also took the FLVS test!!
A piece of pizza with a diameter of 20 inches is eaten and m∠IPZ=45°. What is the perimeter of the piece of the pizza eaten in inches?
Answer:
Perimeter of pizza slice = 27.85 inches (Approx.)
Step-by-step explanation:
Given:
Diameter of pizza = 20 inches
So,
Radius of pizza slice = Diameter of pizza / 2
Radius of pizza slice = 20 / 2 = 10 inches
∠IPZ = 45°
Find:
Perimeter of pizza slice
Computation:
Perimeter of pizza slice = 2[Radius of pizza slice] + [θ/360][2πr]
Perimeter of pizza slice = 2[10] + [45/360][(2)(22/7)(10)]
Perimeter of pizza slice = 20 + [0.125][(2)(3.14)(10)]
Perimeter of pizza slice = 20 + [0.125][62.8]
Perimeter of pizza slice = 20 + 7.85
Perimeter of pizza slice = 27.85 inches (Approx.)
The perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
For this case, we're given that:
Angle m∠IPZ=45°.Diameter of the circular pizza = 20 inchesNot using the above formula, but the concept, we know that:
360° covers full arc, which is [tex]2\pi r[/tex] inch lengthed long.45° is 360°/8, so it will cover [tex]2\pi r/8[/tex] inch long arc (the arc IZ).Since diameter of pizza = 20 inches, its radius r = 10 inches.
Thus, the length of the arc IZ = [tex]\dfrac{2 \times \pi \times 10}{8} \approx 1.9635 \: \rm inches.[/tex]
Perimeter of the slice of the pizza eaten = sum of the length of its boundaries = Length of arc IZ + length of line IP + length of line ZP
Since line IP and ZP are radius, thus:
Perimeter of the slice of the pizza eaten ≈ 1.9635 + 10 + 10 = 31.9635 inches.
Thus, the perimeter of the slice of the pizza that is eaten, measured in inches, for the considered case, is 31.9635 inches.
Learn more about angle, arc length relation here:
https://brainly.com/question/15451496
Help!! Please!!!!!!!
Answer:
E
Step-by-step explanation:
Find the missing length 3 9 c
Answer:
Step-by-step explanation:
c² = a² + b²
c = √(a² + b²)
= √(9² + 3²)
= √(81 + 9)
c = √90 = √(9)(10) = 3√10 simplified
pls help im pretty sure its easy i just forgot
the average can be calculated by adding the scores together and then dividing by the number of scores.
we can set up an equation:
let x = test score needed on next test
(72+72+80+x)/4 = 71
multiply both sides by 4
72+72+80+x = 284
add like terms
224+x=284
subtract 224 from both sides
x=60
she will need a 60 for her average to be 71
She needs to score a 60 to have a average score of 71,
72+72+80+60=284
284/4=71
HELPPPPPPPPP
What is the value of x in the figure at the right?
Answer:
Answers is D
Step-by-step explanation:
2x = 60° because they are vertically opposite angles.
x=60÷2=30°
PLZ HELPPPPPPP AND EXPLAIN BC I HAVE NO CLUE HOW TO DO THIS
A.) 500
B.) 490
C.) 21
D.) 390
i had this but your numbers aren't the same i thought i could help you..
Which expression represents the length of the spring after Gerard removes some weight? Gerard adds weight to the end of the hanging spring D-- The song stretches to a length of p centimeters. Gerard removes some weight and the song moves up by a 8 E-p) - 9 D-9--
Answer: p+(-q)
Step-by-step explanation:
If y varies inversely as x, and y = 33 when x = 7, what is the constant and what is value of y when x=11?
Answer:
We have that y = 21 when x = 11.
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.
33 - 7
y - 11
So
[tex]11y = 33*7[/tex]
Dividing both sides by 11
[tex]y = 3*7 = 21[/tex]
We have that y = 21 when x = 11.
In circle S with m RST = 104°, find the angle
104°, find the angle measure of minor arc RT
T
S
R
Answer:
104
Step-by-step explanation:
:)
Write the number for thirteen million thirty thousand
Answer:
13,030,000
Step-by-step explanation:
write first the value for thirteen millions,
13,000,000 and then also put down the thirty thousand which is; 30,000. afterwards add the two
13 000 000
+ 30 000
=. 13 030 000
Answer:
13,030,000
Step-by-step explanation:
13,000,000
+ 30,000
13,030,000
If a volume of an object varies directly with its height and if the volume is 24 while the height is 3 what is k
Answer:
8
Step-by-step explanation:
the formula for direct variation =
Y ∝ kX
such that
Y = kX
from the question we have here
Y = Volume = 24
x = height = 3
when we put this in the formula above in bold
24 ∝ 3k
24 = 3k
from here we have to find the value of k. to do this, we divide through by 3
24/3 = 3k/3
8 = k
therefore the value of k is 8
This equation shows how the amount of time that a receptionist named Terrence spends on the phone is related to the number of phone calls he routes to employees.
t = p + 17
The variable p represents the number phone calls he routes, and the variable t represents the number of minutes he is on the phone. In all, how many phone calls does Terrence have to route to spend a total of 20 minutes on the phone?
phone calls
hmmm I dunno sorry ......
There are 6 friends baking bread. They equally share 3 sticks of butter. Write an equation to find the fraction of a stick of butter that each friend uses. 3 sticks of butter Choose the correct answer below. A. 3÷6= 6 3 B. 3÷6= 3 6 C. 6÷3= 3 6 D. 6÷3= 6 3
Answer:
B.
Step-by-step explanation:
the three sticks of butter were divided among six people
Simplify the ratio 7:21.
(OLD HW!!)
(TIPS FOR ALGEBRA TO PLS ^^)
Answer:
Simplified : 1:3
Step-by-step explanation:
7:21 is equal to 1:3
Also, for algebra tips. Algebra is literally practice. There aren't too many complicated equations or anything until you get into a higher math class so practicing problems is best.
Answer:
7:21 = 1:3
Tips for algebra...
just know the basics and related rules or theorams and practice as much as u can
good day mate
What is the point that divides line DC into a ratio of 1:3, starting from point D C (-120, 83) D (156, -64)
Answer:
Step-by-step explanation:
Consider the following equation: 4 + 6x = 6x + 4. Explain why the equation has many solutions.
Line with a slope of -3 and passes through
point (-1,7)
Answer:
y=-3x+5.5
Step-by-step explanation:
The answer is Y=-3x+5.5 because we already know the slope which is -3. Now all you have to do is change the Y-Intercept. As you can tell the Y-Intercept is not a whole number. So you have to change it to a decimal to get the point that you want. You can put the last part of the equation as 5.5 or 5.55. It doesn't matter but 5.5 is more official. If you find any fault in my answer let me know. Thanks. Have a good day!
WILL GIVE BRAINLIEST!
The graph below shows the relationship between distance walked and calories burned.
Find the slope of the line.
Write a sentence that explains the meaning of the slope.
Walking this many miles burns 100 calories.
Walking this many hours burns one calorie.
Walking burns this many calories per hour.
Walking this many miles burns one calorie.
Walking burns this many calories per mile.
Answer:
70
Step-by-step explanation:
The slope is down 1 over 1.5, so that means Start with the slope formula
m=
(y2 - y1)
(x2 - x1)
Substitute point values in the formula
m=
(140 - 280)
(2 - 4)
Simplify each side of the equation
m=
(140 - 280)
(2 - 4)
=
-140
-2
Solve for slope (m)
m= 70
Booommmm, Im proud of this lol, hope it helps <3
What is the volume of this cylinder?
6 m
7 m
Round your answer to the nearest tenth.
Answer:
(Refer below:)
Step-by-step explanation:
Because there is no image, here's what I'm going to assume: there are multiple scenarios. Refer to each one below:
1) Where r = 6 and h = 7:
V = Bh
V = (π r²) (h)
V = (6² π) (7)
V = 36π (7)
V = 252π
2) Where r = 7 and h = 6:
V = Bh
V = (π r²) (h)
V = (7² π) (6)
V = 49π (6)
V = 294π
3) Where d = 6 and h = 7:
d = 2r = 6
r = 3
V = Bh
V = (π r²) (h)
V = (3² π) (7)
V = 9π (7)
V = 63π
4) Where d = 7 and h = 6:
d = 2r = 7
r = 3.5
V = Bh
V = (π r²) (h)
V = (3.5² π) (7)
V = 12.25π (7)
V = 87.75π ≈ 269.39
Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?
O 6 cm
O 18 cm
O 24 cm
O 28 cm
18 cm is correct .
Step-by-step explanation:
The sum of two smaller sides is greater that the largest side.
It is given that the two sides of a triangle measure 8 cm and 15 cm.
Case 1: Let 8 cm and 15 cm. are smaller side. So,
Third side < 8 + 15
Third side < 23
It means 3rd side must be less than 23
Case 2: Let 15 cm is the largest side.
15 < Third side + 8
15 - 8 < Third side
7 < Third side
It means 3rd side must be greater than 7.
Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.
please help due in a few hours!
Answer:
54 cm²
Step-by-step explanation:
1 cm= 3 m
2 cm= 6 m
3 cm= 9 m
9×6=54
Area of bedroom= 54 cm²
Find the slope: numbers are: (1,-3) and (-5,-4)
[tex]\frac{-3 - (-4)}{1 - (-5)}[/tex]
= [tex]\frac{-3 + 4}{1 + 5}[/tex]
= 1/6
Answer: the slope is 1/6