Answer:
0.35 = 35% probability that a married couple watches the movie
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.
The probability that a husband watches the movie, given that his wife does, is 0.7.
This means that [tex]P(B|A) = 0.7[/tex]
The probability that a wife watches the movie is 0.5.
This means that [tex]P(A) = 0.5[/tex]
What is the probability that a married couple watches the movie?
Both, so:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.7*0.5 = 0.35[/tex]
0.35 = 35% probability that a married couple watches the movie
determine the mean of the numbers:
28 40 53 39 45
Answer:
Mean of the numbers is 41
Step-by-step explanation:
1) You add 28 + 40 + 53 +39 +45
2) Divide whatever number by 5 because that is how many numbers there are given
In this case it would 205 divided by 5 which is how I get 41
I aould appreciate if someone helped
Help me out thanks !!!!!!
Answer:
a = 12
Step-by-step explanation:
as C^2 = A^2 + B^2
by Pythagoras theorem
so
A^2 = C^2 - B^2
= 13^2 - 5^2
= 169- 25
144
as 12^2 is equal to 144
hence side a is equal to 12
Answer:
[tex]h^2 = p^2 + b^2 \\ {13}^{2} = {p }^{2} + {5}^{2} \\ 169 = {p }^{2} + 25 \\ 169 - 25 = {p}^{2} \\ 144 = {p}^{2} \\ \sqrt{144} = p \\ 12 = p \\ p = 12[/tex]
Will Give Brainleist! Plz help me on this problem
Which equation represents a line with slope 3/5 of and y-intercept of -1 ?
Answer:
y = 3/5x - 1
i think that's what's supposed to be there...
What is 3r-2 ?? Algebra is not my strong suit
a bag has 7 red scraps, 3 orange scraps, and 5 speckled scraps. you randomly pull a scrap from the bag, keep it out, and then pull out another one.
what is the probability of getting a speckled and then not getting a orange? write answer as a fraction.
Answer:
Step-by-step explanation:
total scraps=7+3+5
Red Orange Speckeled
7 3 5
-1
7 3 4
P1=5/15
[tex]P2(1~red~ or~ 1 ~speckeled)=\frac{7}{14} +\frac{4}{14} =\frac{11}{14} \\P=\frac{5}{15} \times \frac{11}{14} =\frac{11}{42}[/tex]
( 3 x + 2 ) + ( − 5 x + 7 )
Answer: -2x+9
Step-by-step explanation:
(3
Answer:
It wasnt letting me answer so I put it in the comments but the answer is -2x+9
Step-by-step explanation:
Brainliest??
honestly lost on these problems
Answer:
29
Step-by-step explanation:
Hope this helps
mark me brainlist
Answer:
27
Step-by-step explanation:
We know the missing angle for the triangle on the left is 63. And that is the same angle reflected to the other side. There is a right angle so its 63 + 90 = 157.
180 - 157 = 27
I need help sooo please HELP ME :’) ill give good points because its my last question:
When is the multiplicative relationship used? Select all that apply.
options (more than 1):
1.When multiplying the same amount to an x-value.
2.When subtracting the same amount to an x-value.
3.When dividing the same amount to an x-value.
4.When adding the same amount to an x-value.
Answer:
1 and 3
Step-by-step explanation:
a gift box in the shape of a rectangular prism measures 8in by 8in by 10in. what is the least amount of wrapping paper needed to wrap the gift box?
Answer:
Step-by-step explanation:
The surface area of a rectangular prism is
A=2(xy+xz+yz), where x,y,z are the dimensions, in this case
A=2(8(8)+8(10)+8(10))
A=2(64+80+80)
A=2(224)
A=448in^2
So the minimum amount of wrapping paper is 448in^2
PLEASE HELP!! Will give out brainliest!!! But also have to explain how you got the answers!! Please and thanks!!
1) Consider the piecewise
function shown on the graph, which is composed of exponential,
linear, and polynomial pieces.
h(x)
Complete the statements describing function h.
10
8
6
Over the interval [0, 3), function h is represented
4
2
by
function
-10
-8-6
4
02
-2
4
6
8
10
Function h
a continuous function.
As x approaches positive infinity,
h(x) approaches
As x approaches negative infinity,
-10
h(x) approaches
9514 1404 393
Answer:
exponentialis+∞-∞Step-by-step explanation:
Neither linear nor exponential functions have a "wiggle" in their graph, so the piece in the region x < 0 is polynomial.
The piece in the interval [0, 3] is concave upward and has increasing slope. It could be polynomial, but is most likely the exponential piece of the function.
For x > 3, the function is linear.
There are no gaps in function value where the transition is made from one piece to another, so the function is continuous.
The function tends upward at the right side of the graph. It tends downward at the left side of the graph. This tells you the sign of the infinity they tend toward matches the sign of the infinity x tends toward.
__
On the interval [0, 3], h(x) is represented by an exponential function.
H(x) is a continuous function.
As x approaches +∞, h(x) approaches +∞.
As x approaches -∞, h(x) approaches -∞.
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months. I select a simple random sample of 400 batteries produced in the manufacturing plant. I test each and record how long it takes for each battery to fail. I then compute the average of all the failure times. The sampling distribution of is approximately:
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.
This means that [tex]\mu = 30, \sigma = 2[/tex]
Sample of 400 batteries. The sampling distribution of is approximately:
So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.
Answer:
20=1.50(6)+2.00(4)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The part of an expression that is being added or subtracted
The terms of a mathematical expression are parts of the expression that are connected with addition or subtraction. The factors in a mathematical expression are parts of the expression that are connected with multiplication.
I don't know what you meant but I hope this helps.
Write 8 1/5 as a fraction
Answer:
8.2
Step-by-step explanation:
let me know if its wrong
7
Carly has a bank account with a balance of $3,575. The account pays simple interest at a rate of
4.15%. How long will it take for the account to grow to $7000? Round to the nearest year.
Answer:
It will take 23 years for the account to grow to $7000.
Step-by-step explanation:
Simple Interest
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Carly has a bank account with a balance of $3,575.
This means that [tex]P = 3575[/tex]
The account pays simple interest at a rate of 4.15%.
This means that [tex]I = 0.0415[/tex]
How long will it take for the account to grow to $7000?
[tex]T = 7000[/tex]
The interest is:
[tex]T = E + P[/tex]
[tex]E = T - P = 7000 - 3575 = 3425[/tex]
Now we have to find t.
[tex]E = P*I*t[/tex]
[tex]3425 = 3575*0.0415*t[/tex]
[tex]t = \frac{3425}{3575*0.0415}[/tex]
[tex]t = 23.1[/tex]
Rounding to the nearest year, it will take 23 years for the account to grow to $7000.
What is the slope of a line of best fit if its equation is y = −2x + 3?
−2
Negative 1 over 2
1 over 3
3
Answer:
-2
Step-by-step explanation:
y=m(slope)x+b(y axis)
What is the area of the shaded region?
8. What is m A to the nearest tenth?
A
14.1
22.9
B
help w all please!!! i dont even know where to plot lol
ramon makes a spinner with 4 colors. he colors 25% of the spinner red, 15% blue, 40% orange, and the rest green. ramon then spins the spinner. which outcome would be most likely to happen?
a. the spinner landing on green or red
b. the spinner landing on green or blue
c. the spinner landing on orange or red
d. the spinner landing on orange or blue
Answer:
c. the spinner landing on orange or red
Step-by-step explanation:
So first you find how much is green
25 + 15 + 40 = 80
100 - 80 = 20
So the amount green is 20%
Then you choose the color that has the biggest percentage because it has a higher change of being chosen
25% is red
15% is blue
40% is orange
20% is green
orange and red is the biggest amount/ has the biggest percentage
c is your answer
please help me. In the circle below, U is the center, VX is a diameter, and m VW = 110 degrees Use this information to fill in the blanks.
Answer:
Step-by-step explanation:
Inscribed angle → ∠VXY
(Angle included between two chords meeting at a point on circumference)
Minor arc → (arc VY)
(Arc measuring less than 180° is called as minor arc)
Semicircle → (arc VWX)
(Arc inscribed by the diameter)
m(arc VWX) = 180°
(Semicircle)
m(∠VUW) = 110°
(Central angle subtended by an arc)
Lucy has $60,000 in a savings account that earns simple interest of 14% per year. How much will she have in her account after 5 years?
Answer:
$42,000
Step-by-step explanation:
60,000 × .14 × 5 = 42,000
ASAP will give brainliest
Question 6(Multiple Choice Worth 4 points)
(07.06) There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.
Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?"
H>
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6
-3-2-1 0 1 2 3 4 5 6 7 8 9 10
--10-9-8-7-6
1-2-1 0 1 2 3 4 5 6 7 8 9 10
OH
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
Answer:
it should be the last one
Step-by-step explanation:
can somebody help me with this quickly I forgot how to do this and yeah ill mark you!
Answer:
4/11 i believe
Step-by-step explanation:
identify the coefficeient following expression
6a+7
Answer:
6
Step-by-step explanation:
The coeffecient is the number next to the variable. Boom. Done.
Answer:
6
Step-by-step explanation:
a coefficient is a number in front (behind) the variable (ex. the coefficient in 2x is 2, and the variable is x)
i hope this helps :)
How can you find f(4) if f(x)=7x^(2)-5
Answer:
107
Step-by-step explanation:
f(x)=7x^(2)-5
f(4) means that x=4
f(4)=7*4^(2)-5
= 7 * 16 -5
= 112 -5
= 107
find the variable h+ 1/2 = 3 1/4
Answer:
h=2 3/4
Step-by-step explanation:
2 3/4+1/2=
you can convert 1/2 into 2/4 so they have like denominators
2 3/4+2/4= 2 5/4 which is also equal to 3 1/4
What is the answer 1/2 x 2 1/3
Answer:
7/6
Step-by-step explanation:
what is this equation????
m=y2-y1\y2-y1
Answer:
Are you sure it ia not x2 - x1 in the denominator?
Answer:
x=2-y
Step-by-step explanation:
Root (2,0)
Vertical intercept (0,2)