Well formatted version of question:
Find the expected value of a random variable x having the following probability distribution.
x (-5,-1,0,1,5,8)
Probability (.12, .16, .28, .22, .12, .1)
Answer:
0.86
Step-by-step explanation:
The expected value E(X) is calculated as :
E(X) = Σ(x * p(x))
(-5)(0.12) + (-1)(0.16) + (0)(0.28) + 1(0.22) + 5(0.12) + 8(0.10)
-0.6 + -0.16 + 0 + 0.22 + 0.6 + 0.8
= 0.86
WILL GIVE BRANLIST Probability Event:
You have a deck of 20 cards numbered 1-20. You draw a card from a deck and keep it. The next person draws another card. What is the probability you will both draw an even card?
Label the probability event above as either
A
Independent
B
Dependent
Answer:
9/38
Step-by-step explanation:
The odds of your drawing an even card from the deck are 10/20, or 1/2. The odds of your friend also taking an even card after (WITHOUT recplacing the card) is 9/19, which cannot be further simplified. You multiply the two -- 1/2 * 9/19 -- which results in your answer, 9/38. This is a dependent probability.
The square of an integer is 5 more than 4 times the integer. Find the integer.
Answer:
The integer can be -1 or 5.
Step-by-step explanation:
Let an integer is x.
ATQ,
The square of an integer is 5 more than 4 times the integer.
[tex]x^2=5+4x[/tex]
or
[tex]x^2-5-4x=0\\\\x^2-4x-5=0[/tex]
It is a quadratic equation. Using middle term splitting,
[tex]x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x+1)(x-5)=0\\\\x=-1,5[/tex]
So, the integer can be -1 or 5.
If the square of an integer is 5 more than 4 times the integer, the integers are -1 and 5
Let the unkown integer be "x"
The square of an integer is expressed as x^2
5 more than 4 times the integer is expressed as [tex]4x +5[/tex]
Equate both expressions to have:
[tex]x^2 = 4x + 5\\[/tex]
Equate to zero and factorize:
x^2 - 4x - 5 = 0
x^2 - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x + 1)(x - 5) = 0
x = -1 and 5
Hence the integers are -1 and 5
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There are 500 students in school. 40% of them are boys and the rest are girls. What is the percentage of girls? And find the number of boys and number of girls in the school
Find the measure of a 3.
ts
43
90°
<<
43 = [?]
The correct answer is 90
In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?
a. The number of degrees of freedom for the test is 8 - 1 = 7.
b. The chi-square test should not have been used because two of the counts in the table are less than 5.
c. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.
d. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
e. The chi-square test shows that fans favor the use of instant replay.
Answer: (D) The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
Step-by-step explanation:
From the P-value supplied, it shows that the researcher was 99% confident of the experiment and have 1% chance of error.
Given that the p-value less than 0.001 were calculated, it translates that there is a statistical dependency between the category of the people interviewed and opinion about the use of instant replay.
Find the x-intercept of the following equation: 9x^2 + 2y=18
Step-by-step explanation:
To get the x-intercept, set y = 0. Then solve for x:
[tex]9 {x}^{2} = 18 \\ x = \sqrt{2} [/tex]
Therefore, the x-intercept is
[tex]( \sqrt{2} \: \: \: \: 0)[/tex]
Which one A B C or D?
Answer:
Step-by-step explanation:
D
Answer:
D
Step-by-step explanation:
Which expression is equivalent to?
Answer:
D
Step-by-step explanation:
multiply the inside by -0.5
Answer:
[tex]-3\left(x-2\right)[/tex]
Step-by-step explanation:
[tex]\frac{-1}{2}\left(6x-12\right)=\frac{\left(-1\right)\left(6x-12\right)}{2}==-\frac{\left(6x-12\right)}{2}=-3\left(x-2\right)[/tex]
can anyone help me ?
Answer:
Table 3.
Step-by-step explanation:
Astronomers classified the planets into six sizes with five atmosphere types and four average temperature ranges. How many different planet types are there?
Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 9, with the indicated cross sections taken perpendicular to the x-axis.
a) Squares
x ^2 + y ^2 = 9 => y = y(x) = ± √(9 - x ^2)
Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by y(x), which is
√(9 - x ^2) - (- √(9 - x ^2)) = 2 √(9 - x ^2)
The area of each square section is the square of this length,
(2 √(9 - x ^2)) = 4 (9 - x ^2) = 36 - 4x ^2
We get the whole solid for -3 ≤ x ≤ 3, so integrating gives a volume of
[tex]\displaystyle\int_{-3}^3(36-4x^2)\,\mathrm dx=\boxed{144}[/tex]
Find the next three terms of the arithmetic sequence 5, 11, 17, 23,...
29, 34,38
O 25,31,37
O 28, 33,38
O 29, 35, 41
Answer:
29, 35, 41
Step-by-step explanation:
The difference is always 6
Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
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Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
The list shows the amount of snow, in inches, that fell each day for 5 days.
8, 3, 12, 1,1
What is the mean daily snowfall?
O A. 1 inch
B. 3 inches
OC, 4 inches
D. 5 inches
Answer:
5 inches
Step-by-step explanation:
add all them and divide by 5.
Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and 40% in factory C. 5% of the bulbs produced in factory A, 3% of the bulbs produced in factory B and 4% of the bulbs produced in factory C are defective.A bulb is selected at random in the market and found to be defective. What is the probability that this bulb was produced by factory A?
Answer:
0.4762 = 47.62% probability that this bulb was produced by factory A
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Bulb is defective.
Event B: Produced by factory A.
Probability of a bulb being defective.
5% of 40%(factory A)
3% of 20%(factory B)
4% of 40%(factory C). So
[tex]P(A) = 0.05*0.4 + 0.03*0.2 + 0.04*0.4 = 0.042[/tex]
Defective and from factory A:
5% of 40%. So
[tex]P(A \cap B) = 0.05*0.4 = 0.02[/tex]
What is the probability that this bulb was produced by factory A?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.042} = 0.4762[/tex]
0.4762 = 47.62% probability that this bulb was produced by factory A
If a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is: a. $213.60 b. $6,408.00 c. $6,621.60 d. $17,225.81
Answer:
Correct Answer:
C: $6,621.60
(EDGE 2021)
Step-by-step explanation:
The maximum amount of Social Security tax that could ever be charged in a single year exists $6,621.60.
What is Social Security tax?Social Security exists financed through a reliable payroll tax.
Knowing that a 6.2% Social Security tax exists applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year stands at $6,621.60. Social Security offers all but unemployment insurance.
Therefore, the correct answer is option c. $6,621.60
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What is an angle?
A. part of a line that has two endpoints
ОО
B. part of a line that has one endpoint
C. two rays that have the same endpoint
O O
D. two rays that have the same length
Answer:
A .part of a line that has two end points
28÷7×1/4
no links pls
Answer:
1 is the answer
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
first, you divide 28 by 7 and get 4, then multiply 4 by 1 which is 4, finally divide 4 from 4 with is 1
((28/7)*1)/4=1
PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.
Answer:
a is 23 1/24 or 553/24 and b is 109 43/87
Step-by-step explanation:
A large soup pot holds 10 gallons of soup. Jared has quarts of chicken broth. How many quarts of chicken broth will he need to fill the soup pot
Answer:
40 quarts
Step-by-step explanation:
1 gallon=4
4•10=40
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
(A) −s
(B) −r
(C) 0
(D) r
(E) s
Answer:
C) 0
brainliest plz
The value of t on solving the equations r + t = r and r − t = − s is 0 and s + r so, option C is correct.
What is the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
r + t = r and r − t = − s
Calculate the value of t as shown below,
t = r - r (Transform the equation as shown)
t = 0
-t = -s - r
t = s + r
Thus, the value of t can be 0 and s + r.
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(1,4) (2,7) (3,10) (4,13) find the equation in slope-intercept form.
Answer:
y = 3x + 1
Step-by-step explanation:
The way you find slope is change in y over change in x, (as a fraction).
So then your equation is y = 3x because the y value goes up 3 times and the x goes up once (3/1), and then you see what value y has when x = 0 to find the b value, which is one.
A woman drives her car 180 miles in 3 hours. At this rate how far will she travel in 5 hours?
Answer:
288
Step-by-step explanation:
you would do 180 devided by 3 then multiply that number by 5
calculate the gross margin if the selling price is $264 and the cost is $214
Answer:
Gross margin= $50
Step-by-step explanation:
Giving the following information:
Selling price= $264
Unitary cost= $214
To calculate the gross margin, we need to deduct from the selling price the unitary cost:
Gross margin= selling price - unitary cost
Gross margin= 264 - 214
Gross margin= $50
Four boxes of cookies were sold to a family of five.each box contains 12 cookies if each family member ate 2 cookies from each box what fraction of the original number of cookies is left?
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left
Answer:
38 are left
Step-by-step explanation:
Activity 4:
roup
Evaluate 2x + 5 if:
1. X=5
2. X=4
3. X=-7
4. x = 0
5. x= 13
please anwer it
Answer:
1. 15
2. 13
3. -9
4. 5
5. 31
just put the values in the given equation.
:)
I need help plz I have a time test plz
Answer:
interest = $600
Step-by-step explanation:
for simple interest,
I = PTR/100
Principal (P) = $5000
Time (T) = 3 YEARS
Rate(R) = 4%
therefore, Interest (I) = $5000 × 3 × 4 / 100
= $ 600
Answer this for 10 points
Answer:
Equations would be;
30 + 50 + y = 180
and
y = 180 - 80
Additional:
If you are looking for y and u value then here they are:
y = 100°
u = 25°
Hope this helps!
What is the least natural number that is greater than 10 and has a remainder of 5 when divided by 6, has a remainder of 5 when divided by 9, and has a remainder of 5 when divided by 12?
Answer:
41
Step-by-step explanation:
I am essentially going through every multiply of 12 and then adding 5 to it, because we are using the rule that it should have a remainder of 5. It should also be a remainder of 5 if divided by 6 and 9 as well.
12 + 5 = 17
17/6 = 2 R 5
17/9 = 1 R 8
24 + 5 = 29
29/6 = 4 R 5
29/ 9 = 3 R 2
36 + 9 = 41
41/6 = 6 R 5
41/9 = 4 R 5
Hence, the number is 41
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation6:
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20