Answer:
one number is 2
second number if 3 1/3
Step-by-step explanation:
a = one number
b = second number
3a - b = 8
3a + b = 12
add together:
6a = 20
a = 20/6 or 10/3
find 'b':
3(10/3) - b = 8
10 - b = 8
-b = -2
b = 2
A certain store sells only T-shirts. Let the random variable X represent the number of T-shirts bought from the store on any day, with a mean of 75 and a standard deviation of 20. Let the random variable Y be the total revenue from this store on a randomly selected day. If the store charges $15 per T-shirt, what are the mean and standard deviation of Y
Answer:
[tex](a)\ \mu_y = 1125[/tex]
[tex](b)\ \sigma_y = 300[/tex]
Step-by-step explanation:
Given
[tex]\mu_x = 75[/tex] -- Mean of T-shirts
[tex]\sigma_x = 20[/tex] -- Standard deviation of T-shirts
[tex]Rate = \$ 15[/tex]
Solving (a): The mean of the revenue [tex](\mu_y)[/tex]
To solve this, we use:
[tex]\mu_y = Rate * \mu_x\\[/tex]
This gives:
[tex]\mu_y = 15 * 75[/tex]
[tex]\mu_y = 1125[/tex]
Solving (b): The standard deviation of the revenue [tex](\sigma_y)[/tex]
To solve this, we use:
[tex]\sigma_y = \sqrt{Rate^2 * \sigma_2^2}[/tex]
This gives:
[tex]\sigma_y = \sqrt{15^2 * 20^2}[/tex]
[tex]\sigma_y = \sqrt{90000}[/tex]
[tex]\sigma_y = 300[/tex]
Mr. Benson must give each child 3/12 of a pizza. She is feeding 8 children. How much pizza does Mr. Benson need to make.
Answer:
2 pizzas to feed 8 children
Step-by-step explanation:
3/12 simplified is 1/4
this means that with one pizza you can feed four children.
An army of clone warriors is quadrupling every year. If the army started with only one warrior
named Clone Alpha, how many clones will there be in a decade?
A) 262,144 clones
B) 4,194,304 clones
C) 1,048,576 clones
D 10,485,760 clones
Answer:
C) 1,048,576 clones
Step-by-step explanation:
An army of clone warriors is quadrupling every year.
This means that the amount of clone warriots after t years is given by:
[tex]A(t) = A(0)4^t[/tex]
Started with only one warrior:
This means that [tex]A(0) = 1[/tex], so:
[tex]A(t) = 4^t[/tex]
How many clones will there be in a decade?
A decade is 10 years, so this is A(10).
[tex]A(10) = 4^{10} = 1,048,576[/tex]
The correct answer is given by option C.
a bag contains 8 red marbles, 4 blue marbles, and 5 white marbles. Tom picks two marbles at random, without replacement. What is the probability that Tom picks two blue marbles?
Answer:
11.76% rounded to place value
Step-by-step explanation:
Add all values to get 17. 2 / 17 = 0.117647...... 11.76% chance
The binomial (a+5) is a factor of a2+7a+10. What is the other factor?
(a+2)
(a+5)
(a−2)
(a−5)
Answer:
(a+2)
Step-by-step explanation:
a²+7a+10 = (a + 5) (a + 2)
a + 5
X 5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10
a + 2
______
(a + 5) (a + 2)
Answer:
a
Step-by-step explanation:
What is the perimeter??
Answer:
soma tudo se n for multiplica
Find the area of the Composite shape.
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Ela is building a fence around her yard. She is
using boards that are 0.44 feet wide. She needs
enough boards to build 99 feet of fence. She will
place the boards side by side.
How many boards will Ela need?
Answer:
225 boards
Step-by-step explanation:
99 ft/0.44 ft = 225 ft
i need this fast thank you! :)
Answer:
C
Step-by-step explanation:
Hope this helps! Good Luck!
a
explanation
1/5280 = 5/x
the 1 and 5 represent the miles
5280 and x represent the total ft
so 5280 x 5 would be how to solve x because whatever you do the top you do the bottom which 1 x 5 being 5 so 5280 x 5 being 26400pls help find area and perimeter
Answer:
A is 14 and P is 17
Step-by-step explanation:
working is above mentioned
It's free!
Enjoy! :)
A triangular pyramid is 30 meters tall and has a base area of 500 square meters. What is the volume of the pyramid?
A) 7,500
B) 5,000
C) 15,000
D) 6,200
Answer:
C
Step-by-step explanation:
if it has a base area that means 500/4 = 125 so each side is 125 on the base.
The formula for the volume of a triangular pyramid is 1/3lwh.
if L=125 and w=125 and H= 30
we multiply 125·125·30=468750
and 468750/3=156250
so rounding that, our base would be C)15,000
someone please help me answer this
Answer:
32 kilometers
Step-by-step explanation:
65 - 33 = 32 kilometers
Hope this helps
Answer:
b = 56km is the answer.
Step-by-step explanation:
a (Northbound train) = 33km
b (Eastbound train) = ?
c (Distance between them) = 65km
According to the Pythagorean theorem,
a² + b² = c²
33² + b² = 65²
1089 + b² = 4225
b² = 4225 - 1089
b² = 3136
b = 56km
∴ the eastbound train has travelled 56km.
Erin competes in track meets. She has won blue ribbons and red ribbons. For every 3 blue ribbons she has won, she has won 2 red ribbons. At this rate, how many red ribbons will Erin have won after she has won 9 blue ribbons?
Question 9 options:
6 red
4 red
5 red
11 red
Answer:
the answer is A. 6 red
Step-by-step explanation:
3*3=9 3*2=6
8. The difference between two numbers is 33 and the ratio
between them is 5:2. Find the numbers
Answer:
Step-by-step explanation:
x - y = 33
x/y = 5/2 Multiply both sides by y
y*x/y =5y/2
x = 5y/2 Multiply both sides by 2
2x = 5y Multiply the top equation by 2. Bring 5y to the left
2x - 2y = 66
====================
2x - 5y = 0
2x - 2y = 66 Subtract
-3y = - 66 Divide by - 3
y = 22
x - y = 33
x - 22 = 33 Add 22 to both sides
x = 22 + 33
x = 55
267.4 divided by 1\10
Answer:
2674
Step-by-step explanation:
267.4 divided by 1/10 is the same as 267.4/.10 which you can use a calculator and solve that easly.
Or you can do 267.4/1 times 10/1 because when you are dividing, you flip the second number and mutply instead of divide. And when doing that, the answer is the same.
Write an equation of the line. (-2, 5), (5, -2)
Answer:
-2 x 5=10
Step-by-step explanation:
what is 13 more than 3 times a number is 34 and what is the solution
Answer:
13 + 3x = 34
Variables:
x = random number
Please help!? Work out the size of angle x. 42 degrees and 123 degrees?
Answer:
x° = 99°
Step-by-step explanation:
Sum of angles on a straight line is 180°.
180° - 123° = 57° (sum of angles on a straight line)Sum of angles in a triangle is 180°. Let u be the value of the unknown angle in the triangle.
57° + 42° + u° = 180°u° = 180° - 57° - 42°
u° = 81°
Sum of angles on a straight line is 180°.
x° + 81° = 180°x° = 180° - 81°
x° = 99°
State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group be the group of stores where customers are approached by salespeople and let group be the group of stores where customers are not approached by salespeople.
Complete question is;
State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group 1 be the group of stores where customers are approached by salespeople and let group 2 be the group of stores where customers are not approached by salespeople
Answer:
Null hypothesis; H0; μ1 = μ2
Alternative hypothesis; Ha; μ1 > μ2
Step-by-step explanation:
Group 1 = the group of stores where customers are approached by salespeople
Group 2 = the group of stores where customers are not approached by salespeople
Now, we want to test to check if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't.
Thus, defining the hypotheses, we have;
Null hypothesis; H0; μ1 = μ2
Alternative hypothesis; Ha; μ1 > μ2
If Sherry saves one-eighth of her paycheck and places it in a savings account, and each paycheck is $450,
then how much does she save?
Answer:
$56.25
Step-by-step explanation:
450/8=56.25
Does anyone know what the answer please???
Answer: 8
As you can see, ABCD is similar to FECG which means its just a bigger or smaller version of the other. The sides change by a specific amount like times 2 or divided by 2
In this case abcd is 2x bigger thab fecg. You can see this by the side BC being 10 and it is the same side on the other shape being 5 so you know FECG is just ABCD x 1/2
Because of this since we know what FG is (4) on FECG we know y is 2x that side so it is 8.
a2+9a+18
Can someone factor this for me
Answer:
(a+3)(a+6)
Step-by-step explanation:
a(a+6)+3(a+6)
(a+3)(a+6)
Inequality of t+250+800
Answer:
2983839i8
468393749493948
Hsjejrhrjjh4u4i84748394
Je83847483
373783838383884
373838383
Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff
Convert 42°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas
c=5/9(F-32)
F=9/5 C+32
9514 1404 393
Answer:
5.6 °C
Step-by-step explanation:
Put the number in the formula and do the arithmetic.
C = 5/9(42 -32) = 5/9(10) = 50/9 = 5 5/9
42 °F ≈ 5.6 °C
The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, what percent of performances would fall between 395 and 1983 points?
Your answer
A. 100%
B. 68%
C. 95%
D.99.7%
Answer:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.
Researchers collected data from 100 randomly chosen counties in Texas on pollution levels and asthma rates. Pollution levels were measured by calculating the average number of air particulates (in mg/m3) and asthma rates were calculated as the percent of residents (0-100%) diagnosed with asthma. After confirming all relevant assumptions, they ran a linear model predicting asthma rates based on pollution level: Estimate Std. Error (Intercept) 3.61 2.05 pollution 0.78 0.29 Are pollution levels in Texas counties a significant linear predictor of asthma rates
Answer:
The answer is "3.14".
Step-by-step explanation:
The coefficient of pollution level is "b" and "a" intercept
[tex]\to y=a+bx\\\\[/tex]
We must verify it.
[tex]H_0 :\beta = 0\\\\H_a : \beta \neq 0\\\\[/tex]
[tex]Beta \to b=1.76, SE=0.56 \ Estimate[/tex]
The statistics on tets are now provided
[tex]\to t=\frac{b}{SE}=\frac{1.76}{0.56}=3.14[/tex]
Because statistics will be more than critical [tex](1.984)[/tex] values, we thus reject[tex]H_0[/tex]
Multiplying Polynomials write in standard form
(x+3)(x+4)
Answer:
x² + 7x + 12
Step-by-step explanation:
1. (x +3)(x+4) - Distribute
2. x² + 4x +3x + 12 - Add like terms
3. x² +7x + 12
Write an equation in slope and intercept form of the line (0,4) and (2,0)
Answer:
y = -2x + 4
Step-by-step explanation:
1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:
[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]
So, the slope is -2.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.
3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:
[tex]y = -2x + 4[/tex]
The recipe for a fruit salad calls for 5 bananas, 3 peaches, 2 apples, 1 pear, 8 strawberries, 1 cantaloupe, and 2 oranges. What is the ratio of peaches to the total?
Answer:
3/22
Step-by-step explanation:
add all fruits together-
5+3+2+1+8+1+2
8+3+9+2
11+11
22
there are 3 peaches. Ratio- peaches/total
Ratio- 3/22
Hope this helps. Have a nice day you amazing bean child.
Answer:
3/22
Step-by-step explanation:
also hi
Evaluate the expression when m=6 and n=9 n+8m=