Answer:
2, 14, 26Step-by-step explanation:
The rule is:
y = 6x - 4We have x- values of 1, 3, 10 and need to find the y-values.
Substitute the values of x into the rule to find the corresponding values of y:
y = 6*1 - 4 = 6 - 4 = 2y = 6*3 - 4 = 18 - 4 = 14y = 10*3 - 4 = 30 - 4 = 26We need y values of 1,3,10
y=6x-4#1
y=6(1)-4=6-4=2#3
y=6(3)-4=18-4=14#10
y=6(10)-4=60-4=56To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 and a standard deviation of 20. Find the lowest possible score to qualify. Assume the test scores are normally distributed.
Please explain!
Answer:
z = 1.28 < a - 200/20
And if we solve for a we got
a = 200 + 1.28 * 20 = 225.6
So the value of height that separates the bottom 90% of data from the top 10% is 225.6.
Step-by-step explanation:
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
X ~ N (200,20)
For u = 200 and o = 20
For this case we can use the z score in order to solve this problem, given by this formula:
Z = x-u/o
For this part we want to find a value a, such that we satisfy this condition:
P (X > a) = 0.1 (a)
P (X < a) = 0.9 (b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1
If we use condition (b) from previous we have this:
P ( X < a) = P (X-u/o < a - u/o) = 0.9
P (z < a-u/o) = 0.9
But we know which value of z satisfy the previous equation so then we can do this:
z = 1.28 < a - 200/20
And if we solve for a we got
a = 200 + 1.28 * 20 = 225.6
So the value of height that separates the bottom 90% of data from the top 10% is 225.6.
Which of the following pairs of numbers gives a sum that is a prime and a product that is composite is it 2 and 9, 3 and 7 or 4 and 8
Step-by-step explanation:
2 and 9
3 and 7
4 and 8
what I see right away : the only pair whose sum is a prime number (or only just an uneven number) is 2 and 9.
2 + 9 = 11
3 + 7 = 10
4 + 8 = 12
just because these sums are even numbers they cannot be prime numbers and are "out".
A composite number is a positive integer that can be formed by multiplying two smaller positive integers different than 1.
so, the product of 2 numbers is therefore always a composite number, and the question in that direction is completely redundant (without any additional meaning).
so, again, 2 and 9 is the right answer.
A hockey team will play 45 games this season. If they expect 95 people to attend each game, how many people do they expect to attend in all?
people
Answer:
4275
Step-by-step explanation:
You have to do 95 * 45
The way I do this would be, 95 is close to 100, and doing 100 * 45 is much easier than 95 * 45.
100 * 45 is 4500 but ofc that isn't the answer, since we are using 100 and not 95 we have to subtract 5 * 45 which is also a fairly simple equation to solve
5*45 is 225, so what we have to do now is take our 4500 and subtract our 225
4500 - 225 = 4275
Answer:
4,275
Step-by-step explanation:
Give 95 people for each game.
there is only one easy step, you multiply:
[tex]95*45=4275[/tex]
hope this helped!
Brainliest Please!
Find the measure of the angles. Write your answer as ONLY a number
Find the angles for Angle A, Angle B, Angle C, Angle D, Angle E
Thank you! Will Mark brainlist.
Answer
A - 30
B - 70
C - 30
D - 120
E - 30
Step-by-step explanation:
This is off the top of my head
1.
A recipe for pancakes requires 240g of oats. This makes 18 pancakes.
What quantity of oats is needed to make 24 pancakes?
Answer: 320 g
Step-by-step explanation:
We can set up a ratio.
Let the amount of oats equal to x.
18/240 = 24/x
We can now cross multiply.
18x = 5760.
x = 320 g
Answer:
[tex]320\ g[/tex]
Step-by-step explanation:
Start by setting up a ratio:
[tex]\frac{\text{amount of oats}}{\text{number of pancakes}}=\frac{\text{amount of oats}}{\text{number of pancakes}}[/tex]
[tex]\frac{240g}{18\text{ pancakes}}=\frac{xg}{24\text{ pancakes}}[/tex]
Cross multiply (Multiply the numerator of the first fraction by the denominator of the second and vice versa):
[tex]240*24=18*x\\5760=18x\\\text{Divide both sides by 18}\\x=320\ g[/tex]
Will Give Brainliest 50 Points Each.
There Is A Pair Of Parallel Sides In The Following Shape.
What Is The Area Of The Shape.
Solution:
We know that:
Area of trapezoid = [tex]\frac{(a_{1} + a_{2} )h}{2}[/tex] [a₁ and a₂ must be parallel sides]Substitute the parallel side lengths and the height in the formula to find the area of the trapezoid.
Substituting the parallel side lengths and the height in the formula:
Area of trapezoid = [tex]\frac{(a_{1} + a_{2} )h}{2}[/tex]Area of trapezoid = [tex]\frac{(5 + 9 )4}{2}[/tex]Simplifying the RHS:
Area of trapezoid = [tex]\frac{(14)4}{2}[/tex] Area of trapezoid = [tex](7)4[/tex] Area of trapezoid = [tex]28 \ units^{2}[/tex]Thus, the area of the trapezoid is 28 units².
[tex]\\ \rm\Rrightarrow Area=\dfrac{1}{2}(Sum\:of\: parallel\:sides)\times Height [/tex]
[tex]\\ \rm\Rrightarrow Area=\dfrac{1}{2}(9+5)(4)[/tex]
[tex]\\ \rm\Rrightarrow Area=14(2)[/tex]
[tex]\\ \rm\Rrightarrow Area=28units^2[/tex]
1. Marc and Julian are considering the following investments for their portfolio. Help them evaluate each one by weighing the risk versus return. Rank each as low, moderate, or high in each category.
The categorization will be as follows
[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } Investment & Potential Returns & Potential Risk \\Money market savings account & L & L\\ IRA & M & M \\ Stock in a new tech company & H& H \\\end{center}[/tex]
The risk-return tradeoffThe assertions made will follow the risk to returns principle that says the greater the risk the greater the returns.
In the categories Let
L= low
M= moderate
H= high in each category.
Therefore, appropriate ranking will show
[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } Investment & Potential Returns & Potential Risk \\ Money market savings account & L & L\\ IRA & M & M \\ Stock in a new tech company & H& H \\Mutual fund & M & M \\Five-year CD (2% interest) & L & L \\High-yield five-year bond & H & M\end{center}[/tex]
More on Trade
https://brainly.com/question/15115779
Need help asap please
15y + v4-8
What is the degree
Answer: The degree of 15y+v4-8 is 1
Step-by-step explanation: Hope this helps in your studies!
What is the mode of the following data values?
54, 78, 26, 36, 26
O A. 26
O B. 54
O C. 44
O D. 36
Answer:
O A. 26
Step-by-step explanation:
26 has occurred maximum number of times.
So, Mode of the given data value is 26
7+(2+6) to the 2nd power * 4(1/2) to the 4th power
Answer:
7+(2+6) to the 2nd power 4(1/2) to the 4th power = 23
Step-by-step explanation:
What is 120 / 320 as decimal (fraction to decimal)
Answer:
3/8
Step-by-step explanation:
÷ both sides by 40 =
3/8
Gabby walks 12 blocks east from school and then 16 blocks south. Each block is 50 yards. How far is Gabby from school in yards?
Answer:
1000 yards
Step-by-step explanation:
First, create a triangle using the two known amounts.
12 blocks east will act as your base and 16 blocks south as your height. Connect these two lines to form a triangle.
This becomes a matter of the Pythagorean theorem or A^2 + B^2 = C^2
A= 12
B= 16
12^2 + 16^2 = C^2
400 = C^2
C= 20 blocks
Multiply this number by 50 to get the number in yards.
20 * 50 = 1000 yards
Three cards are selected from a well-shuffled deck of 52 cards. Find the probability that all 3 are Aces.
Answer:
We can divide the pack of cards in two ways
Non Ace cards and Ace cards
Since there are 4 aces in a pack
No of non ace cards will be 52–4=48
The question mentions atleast 1 ace cards so i can pick 1 ace card,2 ace cards or 3 ace cards
Case1:1 Ace card
1 will pick one ace card and 2 non ace cards
It can be done in 4C1*48*C2 ways
= 4*1128 = 4 512 ways
Case 2: 2 Ace Cards
I will pick 2 ace cards and 1 non ace card
It can be done in 4C2 * 48C1 = 6 * 48 =288 ways
Case 3:3 Ace cards
It can be done in 4C3 =4 ways
Therefore the probability is
(4512+288+4)/52C3
=4804/22100=0.217
Step-by-step explanation:
A train stops 7 times per hour. At this rate, how many stops will it make in 12 hours?
_ stops
Answer:
84
Step-by-step explanation:
Multiply seven by 12 and you get your answer
Please mark brainlest
Classify the angles in the figure by choosing the correct term from the choices below.
supplementary
complementary
straight
none of these
Answer : None of these
This neither adds up to 180° nor 90°
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given pair of angles adds up to (32° + 48°) = 80°, therefore they doesn't form any special angle pair. so the Correct choice is None of these.
2) What is y after executing the statements?
X= 4;
Y= x+1;
X= 3;
Y= Y * 2 ;
a. 6
b. 8
c. 10
d. 12
Answer:
c.
10
Step-by-step explanation:
hope that help's u :))
The value of y is 10 after executing the statements because the addition of numbers, subtraction, multiplication, and division option (c) 10 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The value x = 4
y = x + 1
y = 4 + 1
y = 5
The number expression can be defined as the combination of constants and variables with mathematical operators.
x= 3
y = 5(2)
y = 10
Thus, the value of y is 10 after executing the statements because the addition of numbers, subtraction, multiplication, and division option (c) 10 is correct.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
mai bought a televison for $330. the tax rate is 8%
Answer:
$356.40
Step-by-step explanation:
Simply multiply 330 by 8% on a calculator:
330*1.08=356.4
The tax rate is the percentage of an income or an amount of money that has to be paid as tax. These officials prefer lower tax rates on capital gains. The budget may bring down the corporate tax rate from 35 percent to 30 percent, the peak rate of individual tax.
At a football stadium, 20% of the fans in attendance were teenagers. If there were 180
teenagels at the football stadium, what was the total number of people at the
stadium?
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.
Answer:
3 is your answer
Step-by-step explanation:
y divided by x gives the proportionality
3
To find the constant of proportionality, you divide x from y.
6/2= 3
9/3= 3
12/4= 3
15/5= 3
So, the constant of proportionality is 3.
Each month, an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. Assume the variable is approximately normally distributed. If a household is selected at random, find the probability of its generating:
1) Between 27 and 31 pounds per month.
2) More than 30.2 pounds per month.
Please explain!
a) For x = 27:
z = 27-28/2 = -0.5
For x = 31:
z = 31-38/2 = 1.5
From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%
b) For x > 30.2:
z = 30.2-28/2 = 1.1
From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%
Determine the slope of the line, explain your answer.
Umference of a Circle: Mastery Test
S
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
Match each circumference to the corresponding radius or diameter of the circle. (All circumferences are approximate.)
circumference: 34.54 units
circumference: 59,66 units
circumference: 23.236 units
circumference: 26.376 units
circumference: 13.188 units
circumference: 29,83 units
radius: 4.2 units
diameter: 7.4 units
diameter: 11 units
Answer:
•26.376 units
•23.236 units
•34.54 units
•59.66 units
Step-by-step explanation:
The formula for the circumference of a circle is ...
C = 2πr = πd
C = 2(3.14)r = 6.28r or C = 3.14d
where r is the radius and d is the diameter.
Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".
r = 4.2 ⇒ C = 6.28×4.2 = 26.376
d = 7.4 ⇒ C = 3.14×7.4 = 23.236
d = 11 ⇒ C = 3.14×11 = 34.54
r = 9.5 ⇒ C = 6.28×9.5 = 59.66
does anyone know this?
Answer:
a is 7
Step-by-step explanation:
counting all of the 90° angles and then g and h are in the middle so you add the middle also
PLEASEEE I NEED HELP ASAPPPPPP DUE IN 6 MINS!
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 60-kilogram crates that can be loaded into the shipping container.
Answer:
x ≤ 345
Step-by-step explanation:
refer the image please thank you
Thirty students rode on the school bus in the morning. The maximum number of students who could fit on the bus was 1 3 1 times that number of students. The same bus was 8 5 full during the afternoon trip.
a. Determine the total number of students who rode the bus that day during the morning and afternoon trips combined.
b. The total number of students who rode the bus during that one day represented what percent of the total capacity the bus could have transported that day? Round the answer to the closest hundredth.
Answer:
A. 115
B.2.93
Step-by-step explanation:
A- 30+85=115
B- 30x131=3930
115x100=11500
11500/3930=2.93
A number decreased by 25 is equal to 214. Find the number,
Answer:
214+25=239
Step-by-step explanation:
Two angles are complementary. The larger angle is 36 more than the smaller angle. What is the measure of the larger angle?
[tex][Hello,BrainlyUser][/tex]
Answer:
Large Angle = 63
Step-by-step explanation:
Complementary Angle = 90 °
x + x + 36 = 90
2x = 54
x = 27
Large Angle : 27 + 36 = 63
Smaller number =27
[CloudBreeze]
Jason is 15 years old . his sister Nadine is 4 years younger . how old will his sister be in 6 years time?
Answer:
17
Step-by-step explanation:
Jason is 15 his sister 4 years younger: 15-4=11+(6years)=17
i need help urgent this is to hard for me to do
Answer:
( 7 , 4 )
given:
4x + 10y = 684x - y = 24make y the subject in equation 2:
4x - y = 24
-y = 24 - 4x
y = 4x - 24
insert this in equation 1:
4x + 10y = 68
4x + 10(4x - 24) = 68
4x + 40x - 240 = 68
44x = 68 + 240
44x = 308
x = 7
solve for y:
y = 4x - 24
y = 4(7) - 24
y = 4
