Answer:
x = 37
Step-by-step explanation:
4x + 3 + x - 8 = 180
4x + x - 8 + 3 = 180
5x - 5 = 180
5x = 185
x = 37
Hope this helps!
Mark randomly chose a snack, replaced it, and then chose another snack. What is the probability that Mark chose a bag of chocolate and then chose a bag of dried fruit?
Answer:
50%
its very likely tbh. I did that like in 5th grade, im probably wrong.
What is |-5 x 6 + 7|?
23
⊝
-65
⊝
-37
⊝
37
Answer:
your answer is A
Step-by-step explanation:
PLASE ANSWER THIS!! MARKING BRAINLEIST
1. 59049
2. a^12
3. 8a^6
4. 16a^ 10 b^6
5. 9a^4
6. s^6 t^12
7. s^5 / t^5
8. 6561
9. s^2 t^8 / r^2
10. 81a^2 b^6
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired.
a. Does Y have a binomial or hypergeometric distribution? Why?
b. Find the probability that two or more internship trained candidated are hired.
c. Find the standard deviation and mean of Y.
Answer:
A) Hypergeometric
B) P( X ≥ 2) = 0.7143
C) Standard deviation: σ = 0.7087
Mean = 1.875
Step-by-step explanation:
A) Y has Hypergeometric distribution. This is because, the population is not definite and is largely a finite number of people that have one of the two characteristics. Also, a sample of 8 was selected from this population and a random variable of interest that contained the number of people with one of the characteristics.
B) We are told total candidates were 8.
Thus; N = 8
3 were for local teaching positions, thus; n = 3
5 were for paid internship, thus; r = 5
Now, the formula for Hypergeometric distribution is;
P(y) = {(rCy) × [(N-r)C(n-y)]}/(NCn)
Where C represents combination.
Thus, probability that two or more candidates were hired is;
P( X ≥ 2) = P(2) + P(3)
Now, N - r = 8 - 5 = 3
For P(2); n - y = 3 - 2 = 1
For P(3); n - y = 3 - 3 = 0
Thus;
P(2) = {(5C2) × (3C1}/(8C3)
P(2) = 30/56
P(2) = 0.5357
P(3) = {(5C3) × (3C0}/(8C3)
P(3) = 10/56
P(3) = 0.1786
Thus;
P( X ≥ 2) = 0.5357 + 0.1786
P( X ≥ 2) = 0.7143
C) Formula for standard deviation in Hypergeometric distribution is;
σ = √[(nr/N) × ((N - r)/n) × ((N - n)/(N - 1))]
nr/N = (3 × 5/8) = 15/8
((N - r)/N) = (8 - 5)/8 = 3/8
((N - n)/(N - 1)) = (8 - 3)/(8 - 1) = 5/7
σ = √((15/8) × (3/8) × (5/7))
σ =√0.5022
σ = 0.7087
Formula for mean in Hypergeometric distribution is;
E(Y) = nr/N = 3 × 5/8 = 1.875
f(n)= 4n+4
g(n)= n + 1
Find (f + g)(n)
4h + 3f + 3c + f + 2c + h + 2c pls help
Answer:
5h + 4f + 7c
Step-by-step explanation:
Combine like terms!
4h + h = 5h
3f + f = 4f
3c + 2c + 2c = 7c
And you can't put numbers together that have different variables.
In a population of 271 Dd parrots, predators kill 55. What is the approximate fitness of the genotype?
Fitness of Dd: 20%
Fitness of Dd: 40%
Fitness of Dd: 60%
Fitness of Dd: 80%
Answer:
60%
Step-by-step explanation:
They killed quite a bit and a lot were left.
Could someone give me an answer to this please ! :)
Answer:
8units
Step-by-step explanation:
Given parameters:
Area of triangle = 32units²
Base = 8units
Unknown:
height x of the triangle = ?
Solution:
The area of a triangle is given as;
Area = [tex]\frac{1}{2}[/tex] x base x height
Input the parameters and solve for the height;
32 = [tex]\frac{1}{2}[/tex] x 8 x h
32 = 4h
h = 8
height of the triangle is 8units
A simple index of three socks have opening values on day 1 and day 8 as shown in the table below. What is the rate of change of this simple index over one week? Round your answer to the nearest tenth
Answer: -7.7%
Step-by- A P E X
What decimal is equivalent to StartFraction 8 over 100 EndFraction
Answer:
8/100 is equivalent to 0.08
The temperature at 4:00 p.m. was 2.5'F. It
dropped 0.75°F each hour for the next 4 hours.
What was the temperature at 8:00 p.m.?
Answer:-0.5; 0.75*4=3, 2-3=-0.5
Step-by-step explanation:
Answer:
-0.5...............
A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?
Answer:
The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:
P = 1 - P(1) - P(0)
Where:
P(1) = probability that the vaccine is not effective in one individual
P(0) = probability that the vaccine is not effective in 0 individuals.
The probability that the vaccine is effective is 0.95
Then the probability that the vaccine is not effective is 0.05.
Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:
p(1) = (0.05^1)*(0.95^19)
But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)
Then the actual probability is:
P(1) = 20*((0.05^1)*(0.95^19)) = 0.377
And P(0) is easy to compute:
P(0) = (0.05^0)*(0.95^20) = 0.358
And here we have only one possible permutation, so we do not worry about that.
Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265
This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)
Answer please so hard
Answer:
b s=3w
Step-by-step explanation:
when graphed its a straight line and it goes through the orgin so its proportional
g Statesville population in 2010 was about 24,700, and was growing by about 1% each year. If this continues, what will Statesville population be in 2018? [Round to the nearest person.]
Answer:
26,676population
Step-by-step explanation:
Population in 2010 = 24,700
If it grows yearly by 1%, increment per year is expressed as:
1% of 24,700
= 1/100×24700
= 247 populations
After 8years, population increase will be 247×8 = 1976 population
Statesville population in 2018 will be expressed as;
Population in 2010+increase after 8years
= 24700+1976
= 26,676 population
Hence statesville population in 2018 will be 26,676population
Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation:
7 – 0.2n = -0.8n + 10
What value of n makes this equation true?
Please helpp
The answer to the equation is [tex]n=5[/tex]
First, you must add 0.8n on both sides.
[tex]0.6n+7=10[/tex]
Then, subtract 7 from both sides.
[tex]0.6n=3[/tex]
Finally, divide both sides by 0.6
[tex]n=5[/tex]
A submarine started at a depth of 150 below sea level and descended 355 feet what is the new depth of the submarine?
A. 370 ft
B. 205 ft
C. 0 ft
D. 505 ft
Plz answer ASAP got test
How do i turn 80% 0f 86- i know the answer but i don't know how to do it
Can someone please teach me
We know that of refers to multiplication (from BODMAS)
% means per hundred, i.e., 1/100
So, 80% of 86 is:
(80/100) × 86
or (4/5) × 86
or 4 × 17.2
or 68.8
Hope you understand
Answer:
68.8
Step-by-step explanation:
Let x be 80% of 86.
To find 80% of 86
[tex] \frac{80}{100} = \frac{x}{86} [/tex]
[tex]80 \times 86 = 100x[/tex]
[tex]6880 = 100x[/tex]
[tex]68.8 = x[/tex]
Or you can simply do it as:
[tex]86 \times 80\%[/tex]
[tex]86 \times \frac{80}{100} [/tex]
[tex] \frac{86 \times 80}{100} [/tex]
[tex] \frac{6880}{100} [/tex]
[tex]68.8[/tex]
I need to solve for n.
2-1= plz help me i need help
Answer:
1 :)
Step-by-step explanation:
x=4/9,y=1/2, and z=3/5 6wy-3z
Answer: The answer would be - 7/5 or (-0.46)
Plug in the numbers that each letter equals. So you get 6(4/9)(1/2) - 3(3/5). Then you just simplify.
Simplify and find the value for 1) x = -1, y = 1 and z = 2 (x – 2y) (3x2 + 4xy – y 2 )
Answer:
Step-by-step explanation:
(1-2*1) (3*2+4*-1*1- 1*2)
=-1 (6+4-1-2)
-1*7
-7
Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?
Answer:
392984
Step-by-step explanation:
An investigation of wages paid to its employees by a large company was undertaken as a result of an allegation of discrimination. Data was collected for 1000 randomly selected employees. The data included employee ID, gender, race, annual wages in dollars (Salary), whether the employee had full-time status or part-time status (Full_Part), number of years of education (Ed), and number of years with the company (Tenure). The first two rows of data in the worksheet are displayed below.
1 Gender Race Salary Full_Part Ed Tenure
2 Female Caucasian 32196 Full 14 2
3 Male Black 62385 Full 16 10
How many cases does this data set contain?
How many variables does this data set contain? (3 p)
How many quantitative variables does this data set contain, and what are they? How many qualitative variables does this data set contain, and what are they?
Answer:
Step-by-step explanation:
First, the data set is:
Gender Race Salary WorkTimeStatus Education Tenure
1. Female Caucasian 32196 Full Time 14yrs 2 yrs
2. Male Black 62385 Full Time 16yrs 10yrs
Now to the questions:
(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).
(B) This data set contains 6 variables;
1. Gender 2. Race 3. Salary 4. Work time status 5. Years of education
6. Number of years in/with the company
(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:
3. Salary 5. Years of education 6. Years with the company
Altogether, 3 in number
(D) The qualitative variables are:
1. Gender 2. Race 4. Work Time Status
Altogether that's 3 variables
Please help It’s already due
Answer:
90
Step-by-step explanation:
the total interior angles of a triangle measure to 180 degrees.
55 + 35 = 90
180-90=90
two angles are complementary.the measure of the larger angle is two times the measure of the smaller angle .What is the measure of each angle ?
We know that :
The sum of two angles that are complementary = 90°
Smaller angle = x
Larger angle = 2x
We can make the formula as
= 2x + x = 90°
= 3x = 90°
= x = 90 ÷ 3
= x = 30
The smaller angle = x = 30°
The larger angle = 2x = 30 × 2 = 60°
Therefore , the measure of each of the angles are 30° and 60° .
Solve for x. 6+X-7= 16
Answer:
X=17
Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.
Answer:
x=17
Step-by-step explanation:
Groups like terms
x+6-7=16
Subtract the numbers: 6-7= -1
x-1=16
Add 1 both sides
x-1+1=16+1
Simplify
x=17
how many numbers are between k and n
Answer:
n-k-1
Step-by-step explanation:
n is bigger than k. It asks BETWEEN k and n. so, since n is bigger than k, n-k. since it says BETWEEN, you subtract 1 after that
got it?
=)
oh and the reason i am strict about BETWEEN, is because when it said between, then its discluding k and n.
If it says FROM k and n, then you both include k and n, and that would result of adding 1 instead of subtracting 1.
When Jeremy made 8 black and white copies and 2 color copies at a copy shop, the cost was $1.20. When he made 10 black and white copies and 10 color copies, the cost was $3.00. How much do black and white copies cost?
Answer:
10¢
Step-by-step explanation:
First, to be able to differentiate between the B&W and Color copies, use x in place of the B&W copies and y in place of the Color copies.
Then, write a system of equations to solve (the system of equations input was not working, so there is no brace):
8x + 2y = $1.20
10x + 10y = $3.00
Then, solve the system of equations:
8x + 2y = $1.20
10x + 10y = $3.00
Isolate x to be able to substitute:
8x + 2y = $1.20
8x = -2y + 1.2
x = -2/8y + 1.2/8
x = -0.25y + 0.15
Substitute:
10x + 10y = $3.00
10 (-0.25y + 0.15) + 10y = 3
-2.5y + 1.5 + 10y = 3
7.5y + 1.5 = 3
7.5y = 1.5
y = $0.20
Now that you have the cost of the Colored copies, you can plug it in to find the B&W copies:
8x + 2y = $1.20
8x + 2(0.2) = 1.2
8x + 0.4 = 1.2
8x = 0.8
x = $0.10
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Answer:
76.95
Step-by-step explanation:
9.5X8/1(8.1 IS THE NUMBER YOU MULTIPLY IT BY)=76.95