Answer:
Yes, the probability distribution is valid.
Step-by-step explanation:
Given :
Income range ___ midpoint(x) ___ %
5 - 15 __________ 10 _____20%
15 - 25 _________ 20 _____13%
25- 35 _________ 30 _____ 21%
35 - 45 _________40 _____ 17%
45 - 55_________ 40 ____ 20%
55 or more _______ 50 _____9%
Yes, we do have a valid probability distributuon ; as the summation of the percentage values is equal to 100%
Yes. Using the income midpoints x and the percent of super shoppers, we can conclude that we have a valid probability distribution.
Given:
Income ranges: 5-15, 15-25, 25-35, 35-45, 45-55, 55 or more.
Midpoints x: 10, 20, 30, 40, 50, 60
Percent of super shoppers: 20%, 13%, 21%, 17%, 20%, 9%.
A valid probability distribution has two must have properties:
Its probabilities are non-negative.
Its probabilities sum to 1.
In the given data, the percentages can be converted to probabilities by dividing by 100 as :
0.2, 0.13, 0.21, 0.17, 0.2, 0.09
None of the probabilities are negative.
All probabilities add up to 1
[tex]0.2 + 0.13 + 0.21 + 0.17 + 0.2 + 0.09 = 1[/tex]
Thus, given distribution is a valid probability distribution.
Learn more here:
https://brainly.com/question/795909
The blue dot is at what value on the number -7 -9 line?
Answer: Y=-7 X=-9
Step-by-step explanation:
Which is the best estimate of 162% of 79? O 112 O 119 O 128 O 136
Answer:
128
Step-by-step explanation:
You would multiply 79 by 1.62 to get the answer.
This would give you 127.98 which you would round up to 128.
Answer:
128
Step-by-step explanation:
find the slope. thank
Step-by-step explanation:
7. The two coordinates are (0, 4) and (1, -4).
To find the slope you would need to use the formula [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
[tex]y_{2}[/tex] = (-4), [tex]y_{1}[/tex] = 4
[tex]x_{2}[/tex] = 1, [tex]x_{1}[/tex] = 0
[tex]\frac{(-4)-4}{1-0}[/tex] = [tex]\frac{-8}{1}[/tex] = -8
8. The coordinates, (1, 4) and (0, -2)
(-2) -4 / 0 -1 = -6 / -1 = 6
Sorry for not formatting 8
9. The coordinates (-1, 3) and (4, -1)
(-1) - 3/ 4 - (-1) = -4/ 5
10. The coordinates (1, -1) and (2, -2)
(-2)- (-1) / 2 -1 = -1 / 1 = -1
Hope this helps!!!
John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account. Each book costs $6. a. Write an inequality to represent this story, using b to represent the number of books John buys. b. Solve the inequality, showing each step of your work. c. In complete sentences, explain what the solution means in the context of the story.
Answer:
3231
Step-by-step explanation:
The answer is in the 3,000 area i messed up to get the exact amount
8x+7.5=3.5 What's the value of x? Please show your work. :)
Answer:
x = 0.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x = -1/2
Solve. Round to the nearest tenth.
6
2-12
19
2x-2
HELP ASAP!!
Answer:
[tex]\displaystyle x = \frac{216}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 6(2x - 2) = 19(x - 12)[/tex]Distribute: [tex]\displaystyle 12x - 12 = 19x - 228[/tex]Isolate x terms: [tex]\displaystyle -12 = 7x - 228[/tex]Isolate x term: [tex]\displaystyle 216 = 7x[/tex]Isolate x: [tex]\displaystyle \frac{216}{7} = x[/tex]Rewrite: [tex]\displaystyle x = \frac{216}{7}[/tex]Answer:
[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]
30.857 is the right answer.please help !! A.S.A.P
Answer:
its a black image
Step-by-step explanation:
Answer:
what is this your picture is blank and nothing in the text
Can somebody help me please.
Answer:
The correct answer is the last one: 8 x 16 = ?
Step-by-step explanation:
hope this helps. pls mark this as brainiest if im correct! Thx have a great day... :)
4+4=?
help I don't know
Answer:
The answer is 8.
Step-by-step explanation:
thank you for the points :)
Simplify the expression 8+4b+3b+6
Answer:
14+7b
Step-by-step explanation:
8+6=14
4b+3b=7b
Answer:
14 +7b
Step-by-step explanation:
Combine like terms. Like terms have same variables
8 + 4b + 3b + 6 = 8 + 6 + 4b + 3b
= 14 + 7b
3 (x-2)
4x + 8
3x
What’s the expression for the perimeter of the figures shown? (I NEED HELP ASAP)
Answer:
1.3x -6 => 3x = 6 => x = 2
2.4x = -8 => x= -2
3.3x => if 3x = 0 ..x is> 0 too
but if 3x= 1 ..x is 1/3
i h○pe it helps u ...:)
Simplify this expression.
[tex]\frac{4^{9} }{4^{3} }[/tex]
9x9x9x9divide by 4x4x4
Answer:
4⁹ / 4³ = 4⁶ = 4096
Step-by-step explanation:
You can solve this by realising that exponents (the 9 and the 3 in this case), simply tell you how many times to multiply the numbers together.
What you're see there then can also be expressed as:
[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}{4 \times 4 \times 4}[/tex]
Because the numerator and denominator are all multiples of the same number repeatedly, you can simply eliminate the bottom three fours from the top and bottom, giving you:
[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times (4 \times 4 \times 4)}{(4 \times 4 \times 4)}\\\\= 4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]
[tex]4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]
A simpler way to look at it is to understand that when the same number is being raised to different bases, and then multiplied or divided, you can simply add or subtract the exponents. For example, speaking very generically:
[tex]x^a \times x^b = x^{a + b}[/tex]
and
[tex]x^a \div x^b = x^{a - b}[/tex]
In this case then, we can simply say:
[tex]\frac{4^9}{4^3} = 4^{9 - 3} = 4^6[/tex]
So when simplified, the expression is equal to 4⁶, or 4096.
3+3=?
help I don't know
Answer:
its 7
Step-by-step explanation:
Answer:
if i remember correctly i think its carrot
Step-by-step explanation:
:P
can someone give me answers pls asap
Answer:
answers are:
1) 1.75
2) 1.25
Change 8 a.m. to 24 hour clock time.
Use a colon : to separate hours and minutes
Answer:
08:00
Step-by-step explanation:
Answer:
8:00
Step-by-step explanation:
12/midnight would be 00:00 so 8am would be 8:00. if it were 8pm it would be 20:00
What is the (fg)(x) if
f(x)=(4x - 1) and g(x)=(3x + 5)?
A. 7x + 4
B. 12x2-5
C. 12x2 + 17x-5
D. 12x2 + 23x - 5
Show work
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answer:
D. (-2, 6)
Step-by-step explanation:
First, isolate a variable in one of the equations (i.e y = or x =)
The first equation already has isolated x.
x = y - 8 or y - 8 = x
5x + y = -4
Substitute the isolated variable into the second equation.
5(y-8) + y = -4
There is now only one variable, y, in the equation. Now you can solve for y.
First, use the distributive property to get the equation
5y - 40 + y = -4
Then, add 40 to both sides.
5y + y = 36
Add like-terms.
6y = 36
Divide.
36 / 6 = 6
So, y = 6.
Now that we have one coordinate, y = 6, you can substitute for y in the first equation.
x = 6 - 8
Subtract.
x = -2
Your coordinates are now x = -2 and y = 6, or (-2, 6).
Identify whether the following items best fit with a discrete or a continuous model. Then determine whether it is a linear (arithmetic) or exponential (geometric) relationship that is being described. Finally, write the function that represents the situation.
One square inch is infected by bacteria. For every hour that passes the amount of area infected by the bacteria doubles.
Answer:
it will be a continuous model
Step-by-step explanation:
weekend weekend assume every amount of area infected by the bed period doubles as hour passes
pls help asap no trolls
Answer:
yes
Step-by-step explanation:
This is because the sum of 2 sides of a triangle has to be greater than the side that was not used
River otters drink about 5 times as much water as a bald eagle drinks in a day.
How much water can a river otter drink in three days?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
A river otter drinks liters in three days.
Answer:
80
Step-by-step explanation:
You have to multiply .16 times 5, and that gets your answer, 80!
please help me i need help i'll help you if you help me !
i will mark you as brill
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
To solve these questions, we do the following:
Whatever is being applied to a part of the ratio must be done on the other part
Solving (9):
[tex]Ratio = \frac{2}{7}[/tex]
Multiply through by 2
[tex]Ratio = \frac{2*2}{7*2} = \frac{4}{14}[/tex]
Multiply through by 3
[tex]Ratio = \frac{2*3}{7*3} = \frac{6}{21}[/tex]
Multiply through by 5
[tex]Ratio = \frac{2*5}{7*5} = \frac{10}{35}[/tex]
Hence, the equivalents are: [tex]\frac{4}{14}, \frac{6}{21}, \frac{10}{35}[/tex]
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2
[tex]Ratio = 1.5 * 2\ to\ 3.5 * 2[/tex]
[tex]Ratio = 3\ to\ 7[/tex]
Multiply by 3
[tex]Ratio = 1.5 * 3\ to\ 3.5 * 3[/tex]
[tex]Ratio = 4.5\ to\ 10.5[/tex]
Multiply by 4
[tex]Ratio = 1.5 * 4\ to\ 3.5 * 4[/tex]
[tex]Ratio = 6\ to\ 14[/tex]
Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5
[tex]Ratio = 6.25/5\ to\ 1.25/5[/tex]
[tex]Ratio = 1.25\ to\ 0.25[/tex]
Multiply by 2
[tex]Ratio = 6.25*2\ to\ 1.25*2[/tex]
[tex]Ratio = 12.5\ to\ 2.5[/tex]
Multiply by 4
[tex]Ratio = 6.25*4\ to\ 1.25*4[/tex]
[tex]Ratio = 25\ to\ 5[/tex]
Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5
Solving (12):
[tex]Ratio = 3 : 3\frac{1}{2}[/tex]
Multiply by 2
[tex]Ratio = 3 *2: 3\frac{1}{2}*2[/tex]
[tex]Ratio = 6: 7[/tex]
Multiply by 4
[tex]Ratio = 3 *4: 3\frac{1}{2}*4[/tex]
[tex]Ratio = 12: 14[/tex]
Multiply by 6
[tex]Ratio = 3 *6: 3\frac{1}{2}*6[/tex]
[tex]Ratio = 18: 21[/tex]
Hence, the equivalents are: 6:7, 12:14 and 18:21
Solving (13)
[tex]Ratio = 1\frac{2}{3} : \frac{5}{4}[/tex]
Convert mixed fraction to improper fraction
[tex]Ratio = \frac{5}{3} : \frac{5}{4}[/tex]
Multiply by 2
[tex]Ratio = \frac{5}{3}*2 : \frac{5}{4}*2[/tex]
[tex]Ratio = \frac{10}{3} : \frac{5}{2}[/tex]
Multiply by 3
[tex]Ratio = \frac{5}{3}*3 : \frac{5}{4}*3[/tex]
[tex]Ratio = 5 : \frac{15}{4}[/tex]
Multiply by 12
[tex]Ratio = \frac{5}{3}*12 : \frac{5}{4}*12[/tex]
[tex]Ratio = 20 : 15[/tex]
Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15
A circular light fixture has a radius of 20 centimeters.what is the circumference of the light fixture
Answer:
[tex]\boxed {\boxed {\sf 40 \pi \ cm, 125.6 \ cm, or \ 125.6637061 \ cm}}[/tex]
Step-by-step explanation:
Circumference can be found by multiplying the diameter of the circle by pi.
[tex]c= \pi d[/tex]
We are given the radius, which is 20 centimeters. We need the diameter, which is twice the radius.
[tex]d= 2r[/tex]
[tex]d= 2(20 \ cm)[/tex]
[tex]d= 40 \ cm[/tex]
Substitute the diameter into the formula. There are many ways to calculate circumference, so I included a few options.
1. In Terms of Pi
If we solve in terms of pi, we leave π in the answer.
[tex]c=\pi ( 40 \ cm)[/tex]
[tex]c= 40 \pi \ cm[/tex]
2. Using 3.14 as Pi
[tex]c=\pi ( 40 \ cm)[/tex]
Substitute 3.14 in for pi.
[tex]c= (3.14)(40 \ cm)[/tex]
[tex]c=125.6 \ cm[/tex]
3. Using 3.14159 as PI
[tex]c=\pi ( 40 \ cm)[/tex]
Use the pi button on a calculator.
[tex]c= 125.6637061 \ cm[/tex]
The circumference of the light fixture is 40π, 125.6 cm, or 125.6637061 cm
What are the common factors of 9 and 36
Answer:
The common factors of 9 are 1, 3, and 9.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.
Type the expression that results from the following series of steps:
Start with G, add X, then divide by A
Step-by-step explanation:
Start with G => G
Add X => G + X
Divide by A => (G + X)/A
Hebce the expression is (G + X)/A.
Answer:
g
, divide by 7, then add 3.
Step-by-step explanation:
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=60
Step-by-step explanation:
right angle is 90 degrees +30 degrees equals 120 so 180-120 gives you 60 degrees
2) If the bill is $100 and the tax rate is 10%, then the sales tax is how much
money?
$ 20.00
$ 25.00
$ 10.00
$ 5.00
3) If the bill is $45.12 and the tax rate is 13%, then the sales tax is how much I point
money?
Answer:
it's $25.00
Step-by-step explanation:
Please help!
What the values of the expression?
A. 3
B. 12
C. 27
D.81
Answer:
D. 81
Step-by-step explanation:
I am in the same class as you, I took the quiz and the answer was 81
Another way to find slope is with the slope formula (y2-y1/x2-x1 find the slope of (3,2) (7,4)
Answer: 2/4=1/2
Step-by-step explanation: 4-2=2. 7-3=4
Answer:
1/2
Step-by-step explanation:
4-2=2
7-3=4
2/4
Simplify.
8m+4n+7m−2n
17mn
m + 2n
15m + 2n
15m + 6n
Answer:
use math(way)
Step-by-step explanation:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.2 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.50 per gallon. How much did Irene spend on gas?
Answer:
She spend $21,70 on gas
Step-by-step explanation:
6.350=2100
$21,00 for 6 gallons
350:10=35
0,35
035.2=070
0,70
2100+70=2170