Given :
An automobile manufacturer introduces a new model that averages 27 miles per gallon in the city.
Standard deviation , S.D = 3 miles per gallon .
To Find :
The probability that the person will purchase a car that averages less than 20 miles per gallon for in-city driving.
Solution :
We have to find the probability , [tex]P(X\leq 20)[/tex] .
Here , we will use the excel function
So ,
[tex]P(X\leq 20)=NORMADIST( 20, 27 , 3 , 1 )=0.009815[/tex] .
Therefore , probability is 0.009815 .
Height for each toddler at Mrs.orlando daycare
Answer: 1.5
Step-by-step explanation:
To find the quartiles, let's first find the median by sorting the data points from least to greatest.
81
,
82
,
83
,
83
84
,
84
,
84
,
85
81,82,83,83⋮84,84,84,8581, comma, 82, comma, 83, comma, start color gray, 83, end color gray, \varvdots, rectangle, start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
The median is the mean of the two middle numbers.
83
+
84
2
=
167
2
=
83.5
2
83+84
=
2
167
=83.5start fraction, start color gray, 83, end color gray, plus, start color gray, 84, end color gray, divided by, 2, end fraction, equals, start fraction, 167, divided by, 2, end fraction, equals, start color #9d38bd, 83, point, 5, end color #9d38bd
The first quartile is the median of the data points to the left of the median.
81
,
82
,
83
,
83
81,82,83,8381, comma, 82, comma, 83, comma, start color gray, 83, end color gray
Q
1
=
82
+
83
2
=
165
2
=
82.5
Q
1
=
2
82+83
=
2
165
=82.5Q, start subscript, 1, end subscript, equals, start fraction, 82, plus, 83, divided by, 2, end fraction, equals, start fraction, 165, divided by, 2, end fraction, equals, start color #ff00af, 82, point, 5, end color #ff00af
The third quartile is the median of the data points to the right of the median.
84
,
84
,
84
,
85
84,84,84,85start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
Q
3
=
84
+
84
2
=
168
2
=
84
Q
3
=
2
84+84
=
2
168
=84Q, start subscript, 3, end subscript, equals, start fraction, 84, plus, 84, divided by, 2, end fraction, equals, start fraction, 168, divided by, 2, end fraction, equals, start color #6495ed, 84, end color #6495ed
IQR
=
Q
3
−
Q
1
=
84
−
82.5
=
1.5
IQR
=Q
3
−Q
1
=84−82.5
=1.5
1. The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
A. 1.9 X 10^18 kg
B. 2 x 10^18 kg
C. 1.9 x 10^27 kg
D. 2x 10^27 kg
Answer:
D. [tex] 2*10^{27} kg [/tex]
Step-by-step explanation:
Mass of Jupiter is given as 1,898,000,000,000,000,000,000,000,000 kg
Estimating this to the nearest whole number would be = 2,000,000,000,000,000,000,000,000,000 kg (rounding up the the "1,898")
To express this in scientific notation form, simply count how many zeros we have to the nearest whole number, 2.
We have 27 zeros there.
Therefore, we would multiply the whole number, 2, by 10 raise to the power of 27.
An estimate of the mass of Jupiter = [tex] 2*10^{27} kg [/tex]
I need help on this
Answer:
x=28
Step-by-step explanation:
180-42=138 since a triangle adds up to 180
2x+10+3x-12=138 then combine like terms
5x-2=138 add 2 to both sides
5x=140 divide each side by 5
x=28
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
Answer: The values of both x and y will be real numbers greater than or equal to 0
Step-by-step explanation: because pounds and price cannot be a negative amount here. So either you're buying 0 or buying more than 0.
The thing that best describes the values of x and y is that they will be real numbers greater than or equal to 0
What is a Real Number?
This refers to the union of both rational and irrational numbers that can have negative or positive values.
From the given information:
Peaches are being bought and sold
There is no negative value used
The conclusion that can be reached as to the values of x and y is that they contain real numbers greater than or equal to 0
Read more about real numbers here:
https://brainly.com/question/155227
#SPJ6
Please help!!! Thank you!
Answer:
C
Step-by-step explanation:
y=-2x+3
There are 1,044 apartments in Baldwin County this year, which is approximately an 8.1% increase from last
year. How many apartments were there in Baldwin County last year?
Answer:
~966 apartments
Step-by-step explanation:
[tex]\frac{1044}{1.081}[/tex]
35 is what percent of 28?
Answer:
9.8
Step-by-step explanation:
I checked on google
Answer:
9.8
Step-by-step explanation:
Look at the table showing different prices for oranges.
Prices for Oranges
Price A
Price B
Price C
$2.25 for 6
$1.30 for 4
$0.97 for 2
Which gives the prices in order, from least to greatest unit rate?
Price B, Price A, Price C
Price C, Price B, Price A
Price C, Price A, Price B
Price B, Price C, Price A
nswer:
1st Option is correct that is Price B , Price A , Price C
Step-by-step explanation:
0.33 < 038 < 0.49 ⇒ Price B < Price A < Price C
Approximately, it's going least to greatest
2.25/6=0.33
1.30/4= 0.38
0.97/2 = 0.49 ALL ROUNDED
Answer:
its the first one
Step-by-step explanation:
hope that helps
(6x + 7)ºx (8r - 17)
Find the value of x.
O 10
O 11
O 12
O 13
Your first assignment at El Smello Perfume Co. is to determine the proper setting for filling the bottles. The company wishes to keep profits high by using as little perfume as possible, but a government regulation states that no more than 2.5% of the bottles may contain less than the stated volume on the bottle. If the bottles you are filling are stated to contain 100 mL, what is the minimum volume you should use for filling if the standard deviation in the fill level is /- 1.6 mL. (Hint: assume an infinite number of samples where the CI is x /- ts and t
Answer:
The answer is "96.864 ml".
Step-by-step explanation:
In this question, the formula of [tex]\bold{CI = X \pm t \times s}[/tex].
( where X is the mean, t is the coefficient, and s is the mean difference error)
As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is [tex]t=1.96[/tex].
And it can take [tex]\pm \ 1.6 \ ml[/tex] to have been the full value the standard infinite: [tex]\to CI = 100 \pm (1.96 \times 1.6) \\\\[/tex]
[tex]= 100 \pm (3.136) \\\\[/tex]
Consequently, if the standard error is [tex]\pm \ 1.6 \ ml[/tex] , a similar amount should be used to fill
[tex]= 100 - 3.136 \\\\= 96.864 \ \ mL[/tex]
Give the five number summary. A student servey asked, how tall are you ( in inches)?" here's the data: 64, 72, 73, 60, 65, 86, 72, 69, 74
Answer:
Step-by-step explanation:
The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.
Mean is the average of the data. It is the sum total of the numbers divided by the total number.
Mean = 64+72+73+60+65+86+72+69+74/9
Mean = 635/9
Mean = 70.6inches
Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude.
On re-aaranging
60, 64, 65, 69), 72, (72, 73, 74, 86
It can be seen that the number at the middle is 72, hence the median data is 72inches
Maximum value is the highest number in the data given. The highest number is 86 according to the data.
Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.
Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts
IQR = Q3-Q1
Q3 is the upper quartile
Q1 is the lower quartile
Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74
Q1 = 72+69/2
Q1 = 70.5
Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60
Q3 = 72+73/2
Q3 = 72.5
IQR = 72.5-70.5
IQR = 2.0
Hence the five numbers are 70.6, 72, 86, 60 and 2.0
If 1 gallon of paint covers 300 square feet, how many gallons
are needed for a room 30' long x 20' wide x 12' high?
Answer:
can we be friends
Step-by-step explanation:
5x+ 9 = 80
O A
x = -7 or x= 25
OB.
x= -25 or x= 7
O C.
x= 7 or x= 16
OD.
x= -25 or x= 9
Answer:
I do not see anything that matches what I got. I got x=14.2
Step-by-step explanation:
5x+9=80
5x=71
x=14.2
What is the algebraic expression of the product of
7 and p
Answer:
7p, 7*p
Step-by-step explanation:
7(-8)-2y=-52
help....
Answer: Y = -2
Step-by-step explanation:
7(-8) -2y = -52
-56 - 2y = - 52
- 2y = 4
Y = -2
Answer:
Step-by-step explanation:
x = -8 so replace x with -8.
It should be 7(-8) - 2y = -52
Multiply 7 and -8 you get -56
You are left with -56 - 2y = -52
add -56 on both sides to get it on the other side
You will be left with -2y = 4
Divide by -2y on both sides
You'd get y = -2
Find the second endpoint of the segment that has an endpoint at (-1, 3) and its midpoint
at (8,-2).
Answer:
(17, -7)
Step-by-step explanation:
you add 9 to the x-value, and subtract 5 from the y-value. If you look closely, you'll see that that's what happens for the first coordinate too. -1+9=8. 3-5=-2. I hope that was helpful for you!
PLEASE HELP PLEASE PLEASE
Answer:
The second one is d. 13
Step-by-step explanation:
Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.
helppp please I have limited time
Answer:
p = T - a - b
Step-by-step explanation:
Hope that helps, not sure if it is correct though.
Write the equation represents the situation?
“Bill has 16 missing math assignments. If he
completes 2 in class and 3 each day how
long will it take him to make up his missing
work?”
Answer: X= days. Equation: 16-2-3X=X
Step-by-step explanation:
there is none, it’s pretty straight forward.
But if you want to solve for how many days then it’s, 3 1/2 days
The temperature at 7:00 a.m. was -5°F. By 4:00 p.m., the temperature had risen 9
degrees and by 10:00 p.m. the temperature dropped 11 degrees. What was the
temperature at 10:00 pm?
4°F
- 16°F
O
-7°F
25°F
Answer:
The answer is -7 degrees. :)
Step-by-step explanation:
-5+9-11=7
Answer:
I would say -7 degrees
Step-by-step explanation:
What is 6x^3 - z ?
x= -8
and
z= 9
FYI the 3 is an exponent on 6x
Answer:
-110601
Step-by-step explanation:
All you have to do is replace the variables with their value. So the equation would look like this,
6(-8)³ - 9
Always solve the parenthesis first ending up with
-48³ - 9
Now the exponents,
-110592 -9
Here we just subtracting getting the answer of...
-110601
Hope that helps and have a great day!
x decreased by 7 is 38
Answer:
45
Step-by-step explanation:
x - 7 = 38
add 7 to both sides to get the variable by itself
x = 45
Which graph shows the solution to the inequality -3x-7 <20?
+
-10
-5
0
ch
5
10
+
-10
-5
0
5
10
A
0
-5
5
5
10
-10
+
5
10
0
-5
-10
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
Find the minimum sample size required to estimate the population proportion. Margin of error: 0.024; confidence level: 95%; p and q unknown?
Answer:
1667
Step-by-step explanation:
(Margin of Error)² = (z × 0.5)²/n
Where n = number of samples
Minimum number of samples formula = (z × 0.5)²/ (Margin of Error)²
From the above question:
Margin of Error = 0.024
z = z score of a 95% confidence interval = 1.96
Minimum number of samples
= (1.96 × 0.5)²/(0.024)²
= 0.9604/(0.024)²
= 1667.3611111
Approximately to the nearest whole number = 1667
Therefore, the minimum number of samples is 1667
52 cars were built at the plant last month.
If that was 80% of the cars on order, how
many total cars were ordered?
Answer:
65
Step-by-step explanation:
Total cars =
[tex] \frac{52}{80} \times 100 = 65[/tex]
Can someone tell me the solutions to this please its urgent
Answer:
The first one is 20
The second one is 18
And the last one is 4
6. Ashley has 1 2/3 yards of fabric. She uses 1 1/2 yards of fabric to make a dress. After Ashley makes her dress, how much fabric does she have left?
Can anybody please help me out with this problem I would really appreciate it so much . Please and thank you
"Supplementary" angles add up to 180°.
Opposite angles are supplementary, so . . .
(12x - 4) + (19x - 2) = 180°
Clear the parentheses: 12x - 4 + 19x - 2 = 180°
Add up all the x's on the left side: 31x - 4 - 2 = 180°
Add up the plain old numbers on the left side: 31x - 6 = 180°
Add 6 to each side: 31x = 186°
Divide each side by 31 : x = 6°
Well ! Now that you know that x = 6° . . .
Angle EPC is (12x - 4)°
That's (12·6 - 4)°
Which is (72 - 4)°
Which is 68°
When using Newton's Method to find the root of a linear function f(x) = ax + b, a 70, how many iterations of the method are required to find the root at r = R?1 4 2 There is no fixed number. It depends on the intial guess xo.
Answer:
It depends on the initial guess Xo
Step-by-step explanation:
The number of iterations required to find the root at r = R depends on the initial guess Xo, this is because when using Newton's method for finding roots, you will need to pick an initial guess and this will be followed by an iterative process which would converge to a solution. The number of roots before the converging will take place depends on the initial guess Xo made
Fifteen greater than y is at least 150
Answer:
y ≥ 135 or
y is at least 135
Step-by-step explanation:
Fifteen greater than y is at least 150
y + 15 ≥ 150y + 15 - 15 ≥ 150 - 15y ≥ 135Which means: y is at least 135