Answer:A
Step-by-step explanation:
Because your dividing it amount 3 other people
The following function is probability mass function. -2 -1 0 1 2 1/8 2/8 2/8 2/8 1/8 Determine the mean, , and variance, , of the random variable. Enter the exact answers (as fractions if necessary).
Answer:
The mean of the random variable is 0.
The variance of the random variable is [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
We are given the following probability distribution:
[tex]P(X = -2) = \frac{1}{8}[/tex]
[tex]P(X = -1) = \frac{2}{8}[/tex]
[tex]P(X = 0) = \frac{2}{8}[/tex]
[tex]P(X = 1) = \frac{2}{8}[/tex]
[tex]P(X = 2) = \frac{1}{8}[/tex]
Mean:
Sum of each value multiplied by its probabilities. So
[tex]E(X) = -2\frac{1}{8} -1\frac{2}{8} + 0\frac{2}{8} + 1\frac{2}{8} + 2\frac{1}{8} = \frac{-2 -1 0 + 1 + 2}{8} = \frac{0}{8} = 0[/tex]
The mean of the random variable is 0.
Variance:
Sum of the difference squared between each value and the mean, multiplied by its probabilities. So
[tex]V(X) = \frac{1}{8}(-2-0)^2 +\frac{2}{8}(-1-0)^2 + \frac{2}{8}(0-0)^2 + \frac{2}{8}(1-0)^2 + \frac{1}{8}(2-0)^2 = \frac{4 + 2 + 0 + 2 + 4} = \frac{12}{8} = \frac{3}{2}[/tex]
The variance of the random variable is [tex]\frac{3}{2}[/tex]
What are the measures of ∠1 and ∠2? Show your work or explain your answers.
Answer:
<2 = 75
<1 =105
Step-by-step explanation:
<2 and 75 are corresponding angles and corresponding angles are equal when lines are parallel
<2 = 75
<1 and <2 are supplementary angles
<1+<2 = 180
<1 +75 = 180
<1 = 180-75
<1 =105
Answer:
Angle 1: 105 Angle 2: 75
Step-by-step explanation:
The two parallel horizontal lines shown are going through the same line, so the angles will be the same. That means we already know that angle 2 is 75 degrees, and with that information, we can figure out the measure of angle 1. A 180-degree angle is a straight line, and 180 - 75 is equal to 105, which is the measure of angle 1!
I hope this helped you!
PLEASE HELP RN!!!!!!!!!
m = √245
Step-by-step explanation:
cos theta = 7/m
cos theta = m/35
7/m = m/35
m² = 245
m= √245
5 pts
Question 6
Write the first five terms of the geometric sequence where Q1
Sand r = 3
O {8, 24, 72, 216, 648}
O {8, , , ,
O {3, 24, 192, 1536, 9216}
O {8, 11, 14, 17, 20}
5 pt
Question 7
Answer:
{8, 24, 72, 216, 648}
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.
In this question:
First element is 8, common ratio of 3. So
Second term: 8*3 = 24
Third term: 24*3 = 72
Fourth term: 72*3 = 216
Fifth term: 216*3 = 648
So the answer is {8, 24, 72, 216, 648}
G P
2 3
S I
2 8
Q E
2 ??
Answer:
yea i dont know this one bro gp 23 si 28
Step-by-step explanation:
Which of these is always the largest?
A. acute angle
B. obtuse angle
C. right angle
D. straight angle
Answer:
Step-by-step explanation:
B
Answer:
obtuse angle
Step-by-step explanation:
reggie withdrew $175 from his bank account to go shopping. after his withdrawal, there was $234 left in reggies account. how much money did reggie have in his account before his withdrawal
Answer:
409
Step-by-step explanation:
You add 234 with 175.
Solve for x 11^x/11^3=11^2 PPEASE I HAVE AN F
Need help finding constant rate of change!
Answer:
[tex]m = \frac{4}{7}\\[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The constant rate of change (m)
This is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
From the graph, we have:
[tex](x_1,y_1) = (3,4)[/tex]
[tex](x_2,y_2) = (10,8)[/tex]
So, the formula becomes:
[tex]m = \frac{8-4}{10 - 3}[/tex]
[tex]m = \frac{4}{7}\\[/tex]
Find the Area of the circle. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
Area = 1384.7 square miles
Step-by-step explanation:
[tex]Area = \pi r^2 = 3.14 \times 21^2 = 3.14 \times 21 \times 21 = 1384.74 = 1384.7 \ mi^2[/tex]
Answer:
1, 385.4 mi
Step-by-step explanation:
A = pi(r^2)
A = 3.14 x 21^2
A = 1385.44 mi
Kevin entered a pie eating contest. He ate 4 pies in 132 seconds. What is kevins unit rate? Awnser without units.
Answer:
Kevin eats 1 pie for every 33 seconds that pass
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:
132 seconds / 4 pies = 33 seconds per pie
33 seconds / 1 pie
However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:
4 pies / 132 = .0303 or 3.03% of a pie per second
.0303 pies / 1 second
Internet providers: In a survey of 961 homeowners with high-speed Internet, the average monthly cost of a high-speed Internet plan was $74.54 with standard deviation $11.08. Assume the plan costs to be approximately bell-shaped. Estimate the number of plans that cost between $52.38 and $96.7. Round to the nearest whole number. The number of plans that cost between $52.38 and $96.7 is .
Answer:
The number of plans that cost between $52.38 and $96.7 is 913.
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 $74.54, standard deviation of $11.08
Percentage of plans that cost between $52.38 and $96.7.
52.38 = 74.54 - 2*11.08
96.7 = 74.54 + 2*11.08
Within 2 standard deviations of the mean, so by the Empirical Rule, 95%.
The number of plans that cost between $52.38 and $96.7 is .
95% of 961. So
0.95*961 = 913
The number of plans that cost between $52.38 and $96.7 is 913.
Help what is the pattern and what is the next number 3,-9,27,-81,?
Step-by-step explanation:
everything can be found in the picture
The rate describes the relationship between the number of boxes and the weight of the spaghetti that Jacob is using.
Rate:
168 ounces
14 boxes
How much does the spaghetti in each box weigh? Find the unit rate.
Answer:
The rate is 12 ounces/box
or Each box of spaghetti weighs 12 ounces
Step-by-step explanation:
Divide 168 ounces by 14 boxes to calculate what each box weighs.
g(x)=x-3
h(x) = 3x + 1
Find (g of h)(2)
Answer:
i do not know srry but i can guess
Step-by-step explanation:
Someone please help on with these problems
please answer both thank you
Answer:
7.
Solution given;
male=15
female=27
1st term=5*3
2nd term=3*3*3
now
Highest common factor=3
So
The maximum number of groups that the teacher can make is 3.
and each team contains 5 male and 9 female.
PLEASE HELP ASAPPPP WILL GIVE BRAINLIEST 20+ POINTS
show ur work
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
9514 1404 393
Answer:
6a +12b6(a +2b)3(2a +4b)Step-by-step explanation:
For the GCF to be 6, terms of the polynomial must be multiples of 6, but must have no other common factors. A simple polynomial that meets this requirements is ...
6a +12b
One equivalent form can be had by factoring 6 from the terms:
6(a +2b)
Since 6 has a factorization of its own, another equivalent form can be had by factoring out one of the factors of 6. The ones of interest are 2 and 3, so we can write ...
2(3a +6b)
or ...
3(2a +4b)
Answer:
6a+12b6(A+2b)3(2a+4b)Step-by-step explanation:
hope it helps
A rectangular filed is 190m by 270m . A rectangular barn is 23 m by 40 m is built in the field .
Answer: 50,380m
Step-by-step explanation:
190m * 270m = 51,300m
23m * 40m = 920m
Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with
51,300m - 920m = 50,380m
Suppose that γ is an angle with csc γ = -11/10 and γ is not in the third quadrant. Compute the exact value of cot γ. You do not have to rationalize the denominator.
Suppose that γ is an angle with csc γ = -11/10 and γ is not in the third quadrant. Compute the exact value of cot γ. You do not have to rationalize the denominator.
Answer:First let us draw your triangles
Then let's try to solve your problem
Sin(g) = -3/4: you should need to draw the point (x,y) such that y = -3, x <0, and x2 + (-3)2 = 42.
Then cos(g) = x/4, tan (g) = -3/x, csc (g) = -4/3,
sec(g) = 4/x and cot(g) = -x3.
Note:
The other one are done similarly: we can use other info to find the given figure out the (x,y) points, and derive the trig ratios from them.
#LearnwithBrainly
If the graphs of the linear equations shown below are perpendicular, what is the value
of a?
y = 3x +8
2y = ax - 5
Answer:
[tex]a=-\frac{2}{3}[/tex]
Step-by-step explanation:
We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:
[tex]y=3x+8[/tex] and
[tex]y=\frac{a}{2}x-2.5[/tex]
The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:
[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]
I hope this helps! Let me know if you have any questions :)
Jeremy needs to buy three pieces of wood to make a triangular frame. If the wood is cut in 1 l- foot increments, which set of wood length will form a triangle?
The number of cars sold in May m was 60 less than four times the number of cars sold in April a. Which equation shows the
relationship between m and a?
Answer:
m = 4a - 60, option b
Step-by-step explanation:
Number of cars sold in May:
This was m.
60 less than four times the number of cars sold in April a
Four times the number of cars sold in April was 4a.
m was 60 less than 4a, that is, m is given by 4a subtracted by 60. So
m = 4a - 60, and the correct answer is given by option b.
Tony is watching a bird feeder on Monday and sees a chickadee take four seeds and a cardinal take six seeds. On Tuesday, Tony sees the chickadee take eight seeds and the cardinal take twelve seeds. On Wednesday, the chickadee takes twelve seeds and the cardinal takes eighteen seeds. On Thursday, the chickadee takes sixteen seeds and the cardinal takes twenty-four seeds. If this pattern continues, how many total seeds did each bird take in a week? How many seeds did each bird take on the last day of three weeks? Show all of your mathematical thinking.
A culture started with 5,000 bacteria. After 4
hours, it grew to 5,500 bacteria. Predict how
many bacteria will be present after 13 hours.
Round your answer to the nearest whole
number.
P = Aekt
Answer:
5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47
Step-by-step explanation:
A car dealership marks up all new automobiles by 15%. What was the original wholesale cost of a car with a sticker price of $22,500 at this dealership?
Answer:
$19,565.22
Step-by-step explanation:
15% of 22,500 = 3375 as we multiply by 0.15
but, 15% of an initial is still whole 1 + 0.15 = 1.15 but when using sale prices to find initial we DIVIDE
= 22500 / 1.15 = 19565.2174
and round up by 2dp currency.
= $19565.22
The way to remember is the opposite finds the original
Select the symbol = (equal to) or (not equal to) to make the expression true.
{1, 2, 3, 4, 5) ? (whole numbers between 1 and 5 inclusive)
Answer:
not equal to
Step-by-step explanation:
the ")" stands for excluding that last element.
PLS HURRY IM BEING TIMED
Answer:
A
Step-by-step explanation:
I think it's A because that how many miles shes walking not hours not secound or minutes miles. Sry if i'm wrong.
Assume that y varies inversely with x. If y = 7 when x = 2/3, find y when x = 7/3.
y = [?]
Answer:
y = 2
Step-by-step explanation:
varies inversely
xy = k
y = 7 when x = 2/3
(2/3)7 = k
14/3 = k
k = 14/3
--------------------
find y when x = 7/3
(7/3)y = 14/3
multiply both sides by 3/7
y = 14/3 * 3/7
y = 2
Answer: y = 2
Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.
x₁y₁ = x₂y₂Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.
(2/3)(7) = (7/3)(y)
So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.
PLS HELP WITH BOTH ASAP WILL GIVE BRAINLIEST
Answer:
13) 25 and 17
14) cupcakes = $5
brownies = $3
Step-by-step explanation:
13) you can set this up as equations
so x + y = 42
x-y = 8
solve simultaneously by subtracting from each other
2y = 34
y= 17
if y = 17
42 - 17 = 25 = x
14) set up as equations again
Ben 7c + 10b = 65
franklin 7c +7b = 56
subtract from eachother
3b = 9
b = $3
7c + 10(3) = 65
7c = 35
c = $5
Answer:
First question = 2&8
Second question = Cupcakes 6.5 Brownies 8
Step-by-step explanation: