Answer:
C
Step-by-step explanation:
We start by calculating the z-score of 27 minutes
Mathematically z-score = (x-mean)/SD
FROM the question, mean = 21 and SD = 2
so z-score = (27-21)/2 = 6/2 = 3
The probability we want to calculate is P(z > 3)
we proceed to the standard normal distribution table to get this
P(z > 3) = 0.0013499
Now seeing this, we want to calculate the number of days.
Since there are 180 days in a year and we have 4 years, the total number of days = 180 * 4 = 720 days
The number of days in which the school bus took more than 27 minutes will be ;
720 * 0.0013499 = 0.971928 which is approximately 1
Answer:
C.1
Step-by-step explanation:
On edmentum this is correct.
In calculating the monthly payment for a loan with an 8.5% interest rate compounded monthly, what value should be used for i, the interest rate per period, as it appears in the following formula? p = p v times startfraction i over 1 minus (1 i) superscript negative n endfraction a. 8.5 b. 0.71 c. 0.085 d. 0.0071
The value of i, the interest rate per period(monthly here) that should be used in the considered formula is given by: Option B: 0.71
How to find the monthly payment?If we're given that:
[tex]P_v[/tex] = present value[tex]P[/tex] = monthly payment to be paidi = interest rate per monthn = number of periods.Then, we get:
[tex]P = P_v\left(\dfrac{i}{1-(1+i)^{-n}}\right)[/tex]
For this case, we're provided that:
i = interest rate per period
And we have:
Interest rate compounding monthly = 8.5%
The interest rates are usually given for annual basis. Since i represents the rate per period, which is monthly here, thus, we will convert the rate 8.5% from annually to monthly.
Since 1 year = 12 months,
so 8.5% per year compounding monthly = (8.5/12)% per month compounding monthly
Thus, i = interest per period = interest per month = 8.5/12≈ 0.71 (in percentage)
Thus, the value of i, the interest rate per period(monthly here) that should be used in the considered formula is given by: Option B: 0.71
Learn more about monthly payment here:
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Answer:
Its D :)
Step-by-step explanation:
Find the Highest Common Factor of 42 and 90.
Answer:
6
Step-by-step explanation:
Factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factores of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
6 is the greatest common factor.
Answer:
6
Step-by-step explanation:
The common factors of 42 and 90 are 6,3,2,1
Therefore the greatest common factor of 42 and 90 is 6
Which is a better deal?
75% off of a brand name mp3 player that costs $199
OR an off-brand mp3 player for $44.99
Answer:
Off-brand mp3 for $44.99
Step-by-step explanation:
Given;
75% off of a brand name mp3 player that costs $199 or an off-brand mp3 player for $44.99
Note;
off = discount = decrease
Solve;
Starting with brand name mp3
$199 x 75% = 149.25
199 - 149.25= 49.75
Now with off brand mp3
$44.99 x 75% = 33.7425
Round 33.7425 = 33.74
$44.99 - 33.74 = 11.25
49.75 > 11.25
Hence, we can see that off-brand mp3 player is a better deal.
~Learn with Lenvy~
How many solutions does the equation 4x 8 = −2 − 2 5x have? two one none infinitely many
The equation 4x+8 = -2-2+5x has only one solution x=12.
Given equation is:
4x+8 = -2-2+5x
What is an equation?An equation is an operator (denoted by =) that equates the two expressions.
On bringing variables to the left side and constants on the right side
4x-5x = -2-2-8
-x = -12
x =12
Therefore, the equation 4x+8 = -2-2+5x has only one solution x=12.
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(Maths)
Line R has the equation y = 4x + 7
Line P is parallel to line R and intersects the y-axis at (0,-5)
Write down the equation of line P in thee form y=mx+c
Answer:
y = 4x + -5
Step-by-step explanation:
Answer:
[tex]y=4x-5[/tex]
Step-by-step explanation:
parallel lines have the same gradient so line P's gradient would also be 4
line P's equation is [tex]y=4x+c[/tex] but we don't know the c variable yet, so we just plug in the coordinate values
[tex]-5=4(0)+c[/tex]
[tex]-5=c[/tex]
so line P's equation is [tex]y=4x-5[/tex]
giving brainlist for correct answer. :))
Answer:
Here is the steps. 67.5 cm^3
Step-by-step explanation:
4.5 * 6 = 27
27 * 2.5 = 67.5
Answer:
67.5 cm
Step-by-step explanation:
[tex]4\frac{1}{2}[/tex] × [tex]6[/tex] ×[tex]2\frac{1}{2}[/tex] = [tex]67\frac{1}{2}[/tex] or [tex]67.5[/tex]
Write a different ratio that is equivalent to 3/5.
Answer:
6/10
Step-by-step explanation:
because 6dived by 2 =3
And 10divided by 2=5
So they’re equivalent
Answer:6/10
Step-by-step explanation: we all know you just cheeting in imagine math take ur awnsers and go have a good day
A regional transportation authority is interested in estimating the mean number of minutes working adults in the region spend commuting to work on a typical day. A random sample of working adults will be selected from each of three strata: urban, suburban, and rural. Selected individuals will be asked the number of minutes they spend commuting to work on a typical day. Why is stratification used in this situation?
A. To remove bias when estimating the proportion of working adults living in urban, suburban, and rural areas.B. To remove bias when estimating mean commuting time.C. To reduce bias when estimating mean commuting time.D. To decrease the variability in estimates of the proportion of working adults living in urban, suburban, and rural areas.E. To decrease the variability in estimates of the mean commuting time.
Answer:
To reduce bias when estimating mean commuting time
Step-by-step explanation:
Given that the selection of adults is based on the three strata found in the region; urban, suburban, and rural areas where the population and proportion of adults commuting to work is progressively decreasing, using a uniform number or sample size will not increase sample error as there are more commuters in the urban areas than in the suburban or rural areas, likewise, there are more commuters in the suburban area than in the rural areas, and as such the proportion of those sampled in the urban areas should be more than those surveyed in the suburban while those surveyed in the suburban areas should be more than those surveyed in the rural areas to reduce bias when estimating the mean as there will be more general representation.
30 meters is the same as how many feet?
Hint: 1m x 3.3 ft
Round your answer to the nearest tenth.
I need this like right now please
Answer:
32
Step-by-step explanation:
A circle has the equation x² + y2 = 7
P is the point (-2,13) on the circle x² + y2 = 7
Work out the equation of the tangent to the circle at P.
Answer:
A tangent to a circle at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c .
Step-by-step explanation:
Answer:
x=√−y2+7 or x=−√−y2+7
Step-by-step explanation:
what is the 63 term in the sequence 2,12,22,32,....
Please mark brainliest this took a while to make!
Answer:
622
Counting the terms already shown, we would need 59 more. Since each term adds ten, let's make each term 10 added to the previous.
2,12,22,32,42,52,62,72,82,92,102,112,122,132,142,152,162,172,182,192,202,212,222,232,242,252,262,272,282,292,302,312,322,332,342,352,362,372,382, 392,402,412,422,432,442,452,462,472,482,492,502,512,522,532,542,552, 562,572,582,592,602,612,622
Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. His sample data has a mean of 295 and a sample size of 50. Which of the following correctly depicts the z-statistic for Brett’s data? –5. 30 –0. 11 4. 28 6. 27.
Z-score of given data comes to be -5.30.
It is given that
Population mean μ= 310
Standard deviation σ= 20
Mean of sample data X= 295
Sample size n= 50
What is z-score?A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
For a hypothesis test
Z-score = (X-μ)/(σ/√n)
Where, X = observed value
μ= mean
σ = standard deviation
n =sample size
Z-score of above data = (295-310)/(20/√50)
Z-score = -5.30
Therefore, Z-score of given data comes to be -5.30.
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Elizabeth has 5/6kg of beads. IF she shares the beads between 4 friends, how much kg does each friend receive.
Answer:
5/24 kg
Step-by-step explanation:
5/6 ÷ 4/1 (keep-change-flip)
5/6 x 1/4 = 5/24
A toy store received a large shipment of toy race cars. The cars come in blue and red. Because the red cars are more popular, the toy store wanted the ratio of red cars to blue cars to be 3:2. If total number of cars received was 40, then how many of the cars were red?
Answer:
24 cars
Step-by-step explanation:
Given
[tex]Red:Blue = 3:2[/tex]
[tex]Cars = 40[/tex]
Required
Determine the number of red cars
Number of red cars is calculated using:
[tex]Red\ Cars = \frac{Red\ Ratio}{Total\ Ratio} * Cars[/tex]
[tex]Red\ Cars = \frac{3}{3 + 2} * 40[/tex]
[tex]Red\ Cars = \frac{3}{5} * 40[/tex]
[tex]Red\ Cars = \frac{3 * 40}{5}[/tex]
[tex]Red\ Cars = \frac{120}{5}[/tex]
[tex]Red\ Cars = 24[/tex]
What is the value of the expression 2^2 + 8^2 ÷ 2^2?
1 point)
8
10
17
20
Answer:
Fourth option
Step-by-step explanation:
Given the following question:
[tex]2^2+8^2\div2^2[/tex]
To find the answer we need to convert the exponents into integers and then solve using PEMDAS.
[tex]2^2+8^2\div2^2[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]8^2=8\times8=64[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]4+64\div4[/tex]
[tex]64\div4=16[/tex]
[tex]4+16[/tex]
[tex]4+16=20[/tex]
[tex]=20[/tex]
Your answer is "20" or the fourth option.
Hope this helps.
A wedding tent is built in the shape of a right rectangular prism topped with a
rectangular pyramid. The dimensions of the prism are 21 ft by 27 ft by 8 ft,
and the height of the pyramid is 2 ft. Find the total volume of the tent. Round
your answer to the nearest tenth if necessary.
Based on the calculations, the total volume of this wedding tent is equal to 4,914 [tex]ft^3[/tex]
Given the following data:
Dimensions of prism (LWH) = 21 ft x 27 ft x 8 ft.Height of pyramid = 2 ft.How to calculate the total volume of the tent.First of all, we would determine the volume of the right rectangular prism by using this formula:
[tex]V=LWH\\\\V=21 \times 27 \times 8\\\\V=4536\;ft^3[/tex]
Also, we would determine the volume of the pyramid by using this formula:
[tex]V=\frac{1}{3} BH\\\\V=\frac{1}{3}\times (21\times 27)\times 2\\\\V=378\;ft^3[/tex]
For the total volume:
Total volume = [tex]4536+378[/tex]
Total volume = 4,914 [tex]ft^3[/tex]
Read more on rectangular prism here: brainly.com/question/3867601
What is 11/12 minus 1/4?
Answer:
0.6 repeating, or 0.66666666666667
Step-by-step explanation:
remember to find common denominators!
Answer:
2/3
Step-by-step explanation:
To subtract fractions we need a common denominator.
Let's make 1/4 have the same denominator as 11/12.
Multiply by 3 so we get 3/12.
Then we can subtract.
11/12-3/12=8/12
We can simplify this to 2/3
find √100 please i need help
Answer:
10
Step-by-step explanation:
as you want to find the square root of 100, by using a calculator you will find out that it is 10, also in other way you can check whether it is true by multiply 10 with 10, which you will get 100. in other way, square root of 100 means what value times with what value will get 100
Hey there!
First of all, what is this "√" sign?
It means "square root"
Wow, numbers have square roots? Yes.
The square root of a number is the opposite of squaring a number.
Squaring a number simply means multiplying it times itself.
So taking the square root of a number is the opposite of squaring a number.
So, we have
[tex]\bold{\sqrt{100} }[/tex]
What is the square root of 100? in other words, what number times itself equals 100?
That's right, 10.
Hence, the answer is:
[tex]\boxed{\boxed{\bold{10}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if you do, please comment.
#LearningDoesn'tEnd
[tex]\rule{200}{2}[/tex]
James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours and 15 minutes. What time did he finished studying?
18 POINTS!
Hey there!
Started at 3:20 and studied for 2 hours and 15 minutes
=> [tex]3:20 \\ 2:15 \\ \overline{5:35} \\ \overline{ } [/tex]
Therefore, He finished at 5:35
Pls help will give brainlist and 100 points.
[tex]\\ \tt\hookrightarrow (x+5)(x+8)[/tex]
[tex]\\ \tt\hookrightarrow x(x+8)+5(x+8)[/tex]
[tex]\\ \tt\hookrightarrow x^2+8x+5x+40[/tex]
[tex]\\ \tt\hookrightarrow x^2+13x+40[/tex]
Done!
Help plsssssssssssss
Answer:
A. Both factors are positve, so the will be positive.
Answer:
A: because a positive with another positive will be a positive :)
Step-by-step explanation:
PLZZ HELP I NEED AN ANESWER QUICK PLSSS
What is the distance between the points(−7, 7) and (−7, 8)?
Answer:
1
hope this helps!! :)
Simplify the following expression [tex]\sqrt(75)+\sqrt(108)=a\sqrt(b)[/tex] If the expression is simplified completely, what does a equal and what does b equal
Answer:
the answer I got is:
a= 11√3b/b
b= 363/a^2
MATH HW URGENT!!!
Whoever solves one question at least will be brainliest!!!!
Answer: Equation of the line from D to C is y=2x+6?
Step-by-step explanation: Lines A to B and D to C looks parallel meaning they have the same slope but different Y intercept?
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
x2-30x+
Answer:
225
Step-by-step explanation:
a[tex]x^{2}[/tex] - bx + c
[tex](\frac{b}{2}) ^{2}[/tex]
[tex](\frac{-30}{2}) ^{2}[/tex]
[tex](-15)^{2} \\[/tex]
225
[tex](x-15)^{2}[/tex] = [tex]x^{2}[/tex] - 30x + 225
Need help with question 10- Tysm!
Answer:
A=½bh
56=8a(½)
multiply by reciprocal both sides
112=8a
divide
14=a
If x+y=8 , 1/x+1/y=1/2 then xy=?
Answer:
xy = 16
Step-by-step explanation:
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 2xy to clear the fractions )
2y + 2x = xy ← factor out 2 from each term on the left side
2(y + x) = xy
substitute x + y = 8 into the left side
2(8) = xy , that is
xy = 16
What common fraction must be taken from 5/6 to equal 1/3
Answer:
1/2
Step-by-step explanation:
[tex] \frac{5}{6} - x = \frac{1}{3} [/tex]
[tex] \frac{5}{6} - x = \frac{2}{6} [/tex]
[tex]x = \frac{3}{6} = \frac{1}{2} [/tex]
2x + 2y = 0 and y = 2x – 3
I
I need help asap
Answer:
x=1 and y=−1
Step-by-step explanation:
Use substitution in order to solve this.
ASAP PLS HW EXPLANATION NEEDED
REMEBER IT SAYS SELECT ALL
Answer:
A and C are stories that can be represented by the tape diagram.