Answer:
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
Step-by-step explanation:
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: Prefers swimming on weekends.
Event B: Being female.
25% prefer swimming on weekends
This means that [tex]P(A) = 0.25[/tex]
It is found that 20% of the members in that city prefer swimming on weekends and are female
This means that [tex]P(A \cap B) = 0.2[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2}{0.25} = 0.8[/tex]
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.
express z = square root (4 + 3i) in the form p + qi , where p and q and are rational numbers.
Answer:
z = (3/√2) + (1/√2)î = (1/√2) [3 + i] = (2.1213 + 0.7071i)
OR
z = -(3/√2) + i(1/√2) = (1/√2) [-3 + i] = (-2.1213 + 0.7071i)
p = (3/√2) = 2.1213
q = (1/√2) = 0.7071
OR
p = (-3/√2) = -2.1213
q = (1/√2) = 0.7071
Step-by-step explanation:
z = √(4 + 3i)
Let the complex number z be equal to
z = p + qi
So, we can write
z = p + qi = √(4 + 3i)
p + qi = √(4 + 3i)
Square both sides
(p + qi)² = [√(4 + 3i)]²
p² + pqi + pqi + (qi)² = (4 + 3i)
p² + 2pqi + q²i² = 4 + 3i
note that i² = -1
p² + 2pqi - q² = 4 + 3i
(p² - q²) + 2pqi = 4 + 3i
Comparing both sides, and them equating the real parts on both sides to each other and the complex parts to each other
(p² - q²) = 4 (eqn 1)
2pq = 3 (eqn 2)
From eqn 2
p = (3/2q)
p² = (9/4q²)
Substituting this into eqn 1
(9/4q²) - q² = 4
multiplying through by 4q²
9 - 4q⁴ = 16q²
4q⁴ + 16q² - 9 = 0
let q² = x, q⁴ = x²
4x² + 16x - 9 = 0
Solving the quadratic equation
x = 0.5 or -4.5
q² = 4
q² = 0.5 or q² = -4.5
q = √0.5 or √-4.5
q = (1/√2) = (√2)/2 = 0.7071
Or q = i(3/√2) = i(3√2)/2 = 2.1213I
p = (3/2q)
If q = (1/√2) = (√2)/2 = 0.7071
p = (3/√2) = (3√2)/2 = 2.1213
if q = i(3/√2) = i(3√2)/2 = 2.1213I
p = i(1/√2) = i(√2)/2 = 0.7071i
z = p + qi
If q = (1/√2) = (√2)/2 = 0.7071
p = (3/√2) = (3√2)/2 = 2.1213
z = (3/√2) + (1/√2)î = (1/√2) [3 + i]
= 2.1213 + 0.7071i
if q = i(3/√2) = i(3√2)/2 = 2.1213I
p = i(1/√2) = i(√2)/2 = 0.7071i
z = i(1/√2) + [i(3/√2) × i]
z = i(1/√2) - (3/√2)
z = -(3/√2) + i(1/√2)
z = (1/√2) [-3 + i]
z = -2.1213 + 0.7071i
Hope this Helps!!!
If AB = 10, what is the length of DE?
11
5
12
3
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Rectangle ABCD has vertex coordinates A(-1,-1), B(-1, -3), C(-4,-3), and
D(-4,-1). It is translated 2 units to the left and reflected across the x-axis.
What are the coordinates of A"B"C"D?
Answer:
A"(-3, 1)
B"(-3, 3)
C"(-6, 3)
D"(-6, 1)
Step-by-step explanation:
first, find the coordinate after you move it to the left by simply adding 2 to the X coordinate because left and right is in the X plane.
you will get these;
A"(-3, -1)
B"(-3, -3)
C"(-6, -3)
D"(-6, -1)
Then, to find the new coordinate after getting the rectangle reflected across the x-axis, simply change all Y coordinate into positives.
HOPE THIS HELPS :))
Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)
(7 points) Briefly explain what perfect multicollinearity is and how it relates to what is often called the "dummy variable trap". This is where if you have multiple binary regressors (variables that are either 0 or 1) to represent a series of groups, you have to leave the variable that represents one of the groups out of the regression.
Find the given attachments
What percentage of students who take honors English are taking a non-honors math class?
Answer:
B
Step-by-step explanation:
Took quiz GL
Answer:
the answer is not B
Step-by-step explanation:
the answer is A I actually took the quiz
Which of the following expressions has the greatest value?
3^3 2^5 1^10 5^2
Answer:
2^5
Step-by-step explanation:
2^5 = 32
3^3=27
1^10 =1
5^2 = 25
Answer:
2^5
Step-by-step explanation:
Look at the attachment
Evaluate 12 ➗(0.9 -0.04
Answer:
13.9534883721
Step-by-step explanation:
12/(0.9-0.04)=12/0.86=13.9534883721
3.5.49 X 0.67 *
Your answer
What is the answer
Answer:
2.37783 or 23.7783
Step-by-step explanation:
-3b+7=13 solve for b
Answer:
b = -2
Step-by-step explanation:
Start with your given:
-3b + 7 = 13
Subtract 7 on both sides:
-3b = 6
Then, divide -3 on both sides and solve:
b = -2
Answer:
b = -2
Step-by-step explanation:
You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.
Hope this helps.
An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?
Answer:
its A
Step-by-step explanation:
ED 2020
50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.
Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.
Step-by-step explanation:
The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS
Answer:
Creating a diagram..
Step-by-step explanation:
Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)
a. 7 do not own anything.
b. the probability that someone owns a bone or a stick is 50%.
c. the probability that someone owns a rock and a bone is 14%.
d. the probability that someone owns at least 2 items is 42%.
e. the probability that someone owns only 1 of these items is 51%.
Please tell me if im wrong! im only a student .m.
Kelly needs 1/8 cups of sugar to make 1/4 of her cookie recipe. How much sugar does she need to make the entire recipe?
Answer:
1/2 cup of sugar
Step-by-step explanation:
She needs to multiply 1/8 cup of sugar by 4 to make the entire recipe since 18 cup of sugar is only good for a fourth of the recipe.
Fifty volunteers were randomly placed into two groups. The first group was given a new hair growth treatment and the other group was given a placebo treatment. This is an example of
Answer:
Placebo controlled experiment.
Step-by-step explanation:
The placebo effect is when the effectiveness of a treatment is influenced by the patient’s perception of how effective they think the treatment will be, so a result might be seen even if the treatment is ineffectual. In order to reduce this effect, a dummy treatment (placebo) is given to a control group and the result is compared.
How to add or subtract this polynomial
Answer:
18x^2 + 9x - 5
Step-by-step explanation:
Combine like terms:
(9x^2-8) + (9x^2+9x+3)
= 9x^2 + 9x^2 + 9x - 8 + 3
= 18x^2 + 9x - 5
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.
Year Seattle Port Townsend
1970 $38,000 $8,400
1990 $175,000 $168,400
Find a linear model relating the year x and the sales price y for a single family property in Seattle.
Answer:
[tex]y=6,850x - 13,456,500[/tex]
Step-by-step explanation:
To find the linear model, we need to find a linear equation, where its slope is defined as
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
So, we use the given points (1970, 38000) and (1990, 175000), to find the slope
[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]
Now, we use the point-slope formula to find the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]
Therefore, the linear model is
[tex]y=6,850x - 13,456,500[/tex]
Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.
Answer:1017.36 cm^3
Step-by-step explanation:
Diameter=18cm
Radius=r=18/2=9cm
Height=h=12cm
Volume of cone=1/3 x π x r^2 x h
Volume of cone=1/3 x 3.14 x 9^2 x 12
Volume of cone=1/3 3.14 x 9 x 9 x 12
Volume =(1x3.14x9x9x12) ➗ 3
Volume =3052.08 ➗ 3
Volume =1017.36
Volume of cone=1017.36 cm^3
Which of the following is a ray as shown in the drawing?
Answer:
DH
Step-by-step explanation:
this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.
Ms. Robinson gave her class 12 minutes to read. Carrie read 5 ½ pages in that time. At what rate, in pages per hour, did Carrie read?
Answer:
27.5 pages read per hour
Step-by-step explanation:
Can anyone help please? With questions 4 please
Answer:
a. The area of the garden is 11.68 [tex]m^{2}[/tex]
b. $192 and then $177
Step-by-step explanation:
a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37
then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle
so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]
b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)
16*$12=$192, then 5($33)+$12=$177
Solve : 6(x-4) + 3(x+7)= 3
Answer:
X = 2
Step-by-step explanation:
6(x-4) + 3(x+7)= 3
Open parentheses
6x-24+3x+21=3
Simplify
3x-3=3
Add 3 onto both sides
3x=6
And...
X = 2what's the solution to the inequality 1 2/3 > r - 7/12
Answer:
r ≤ 2 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesRewriting FractionsStep-by-step explanation:
Step 1: Define
1 2/3 ≥ r - 7/12
Step 2: Solve for r
Rewrite: 5/3 ≥ r - 7/12Isolate r: 9/4 ≥ rRewrite: r ≤ 9/4Reduce: r ≤ 2 1/4Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.
The table shows the number of cups of water required when cooking different amounts of rice.
Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.
The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation
Answer:
The amount of water is the dependent value.The amount of rice is the independent value.Step-by-step explanation:
The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.
That makes "water" the dependent variable, and "rice" the independent variable.
The amount of water is the dependent value.
The amount of rice is the independent value.
Answer:
The amount of water is the dependent value.
The amount of rice is the independent value.
Step-by-step explanation:
The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% ...
By the Empirical Rule, within 1 standard deviation of the mean.
7.5 - 1.3 = 6.2
7.5 + 1.3 = 8.8
So in the format requested
(6.2, 8.8).
Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.
Complete Question
Determine whether the distribution is a discrete probability distribution.
xP(x)
0 0.100
1 0.200
2 0.300
3 0.400
Is the distribution a discrete probability distribution?
A. Yes , because the sum of the probabilities is equal to 1.
B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.
C. No , because the sum of the probabilties is not equal to 1.
D. No , because each probability is not between 0 and 1 comma inclusive.
Answer:
The correct option is B
Step-by-step explanation:
From the question the probabilites are
[tex]p_1 = 0.100[/tex]
[tex]p_2 = 0.200[/tex]
[tex]p_3 = 0.300[/tex]
[tex]p_4 = 0.400[/tex]
The sum of the probability is
[tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]
I need help solving this problem
Answer:
236
Step-by-step explanation:
Pls help with this one I give brainliest thank you! Number 7
Answer:
length x width x height = volume
5.5 x 2 = 11 x 3 = 33
33 ft.
hope this helps
if you have any questions you can ask!
Step-by-step explanation:
Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?
Answer:
$13.50
Step-by-step explanation:
$54 divided by 4 is $13.50.
