Answer:
P(A and B) = 0.1 = 10%
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, we have that:
[tex]P(A) = 0.2, P(B|A) = 0.5[/tex]
What is P(A and B)?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1[/tex]
P(A and B) = 0.1 = 10%
State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group be the group of stores where customers are approached by salespeople and let group be the group of stores where customers are not approached by salespeople.
Complete question is;
State the null and alternative hypotheses for the situation described below for a statistical test. Testing to see if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't. Let group 1 be the group of stores where customers are approached by salespeople and let group 2 be the group of stores where customers are not approached by salespeople
Answer:
Null hypothesis; H0; μ1 = μ2
Alternative hypothesis; Ha; μ1 > μ2
Step-by-step explanation:
Group 1 = the group of stores where customers are approached by salespeople
Group 2 = the group of stores where customers are not approached by salespeople
Now, we want to test to check if average sales are higher in stores where customers are approached by salespeople than in stores where they aren't.
Thus, defining the hypotheses, we have;
Null hypothesis; H0; μ1 = μ2
Alternative hypothesis; Ha; μ1 > μ2
Please help!? Work out the size of angle x. 42 degrees and 123 degrees?
Answer:
x° = 99°
Step-by-step explanation:
Sum of angles on a straight line is 180°.
180° - 123° = 57° (sum of angles on a straight line)Sum of angles in a triangle is 180°. Let u be the value of the unknown angle in the triangle.
57° + 42° + u° = 180°u° = 180° - 57° - 42°
u° = 81°
Sum of angles on a straight line is 180°.
x° + 81° = 180°x° = 180° - 81°
x° = 99°
Convert 42°F to degrees Celsius. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas
c=5/9(F-32)
F=9/5 C+32
9514 1404 393
Answer:
5.6 °C
Step-by-step explanation:
Put the number in the formula and do the arithmetic.
C = 5/9(42 -32) = 5/9(10) = 50/9 = 5 5/9
42 °F ≈ 5.6 °C
someone please help me answer this
Answer:
32 kilometers
Step-by-step explanation:
65 - 33 = 32 kilometers
Hope this helps
Answer:
b = 56km is the answer.
Step-by-step explanation:
a (Northbound train) = 33km
b (Eastbound train) = ?
c (Distance between them) = 65km
According to the Pythagorean theorem,
a² + b² = c²
33² + b² = 65²
1089 + b² = 4225
b² = 4225 - 1089
b² = 3136
b = 56km
∴ the eastbound train has travelled 56km.
a2+9a+18
Can someone factor this for me
Answer:
(a+3)(a+6)
Step-by-step explanation:
a(a+6)+3(a+6)
(a+3)(a+6)
3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial
Answer:
c
Step-by-step explanation:
A quadratic trinomial has the form of ax² + bx + c
e.g. 3x² + 4x + 2
A quadratic binomial has the form of ax² + bx
e.g. 3x² + 4x
A cubic binomial has the form : ax³ + bx
3x³ + 4x
Write an equation of the line. (-2, 5), (5, -2)
Answer:
-2 x 5=10
Step-by-step explanation:
Inequality of t+250+800
Answer:
2983839i8
468393749493948
Hsjejrhrjjh4u4i84748394
Je83847483
373783838383884
373838383
Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff
Evaluate the expression when m=6 and n=9 n+8m=
Find the area of the Composite shape.
Erin competes in track meets. She has won blue ribbons and red ribbons. For every 3 blue ribbons she has won, she has won 2 red ribbons. At this rate, how many red ribbons will Erin have won after she has won 9 blue ribbons?
Question 9 options:
6 red
4 red
5 red
11 red
Answer:
the answer is A. 6 red
Step-by-step explanation:
3*3=9 3*2=6
Base is 4 1/2 and height is 2 2/3, what is the area
Answer:
12
Step-by-step explanation:
have a good day/night
may i please have a branlliest\
sorry if it wrong
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Ela is building a fence around her yard. She is
using boards that are 0.44 feet wide. She needs
enough boards to build 99 feet of fence. She will
place the boards side by side.
How many boards will Ela need?
Answer:
225 boards
Step-by-step explanation:
99 ft/0.44 ft = 225 ft
The binomial (a+5) is a factor of a2+7a+10. What is the other factor?
(a+2)
(a+5)
(a−2)
(a−5)
Answer:
(a+2)
Step-by-step explanation:
a²+7a+10 = (a + 5) (a + 2)
a + 5
X 5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10
a + 2
______
(a + 5) (a + 2)
Answer:
a
Step-by-step explanation:
Researchers collected data from 100 randomly chosen counties in Texas on pollution levels and asthma rates. Pollution levels were measured by calculating the average number of air particulates (in mg/m3) and asthma rates were calculated as the percent of residents (0-100%) diagnosed with asthma. After confirming all relevant assumptions, they ran a linear model predicting asthma rates based on pollution level: Estimate Std. Error (Intercept) 3.61 2.05 pollution 0.78 0.29 Are pollution levels in Texas counties a significant linear predictor of asthma rates
Answer:
The answer is "3.14".
Step-by-step explanation:
The coefficient of pollution level is "b" and "a" intercept
[tex]\to y=a+bx\\\\[/tex]
We must verify it.
[tex]H_0 :\beta = 0\\\\H_a : \beta \neq 0\\\\[/tex]
[tex]Beta \to b=1.76, SE=0.56 \ Estimate[/tex]
The statistics on tets are now provided
[tex]\to t=\frac{b}{SE}=\frac{1.76}{0.56}=3.14[/tex]
Because statistics will be more than critical [tex](1.984)[/tex] values, we thus reject[tex]H_0[/tex]
a bag contains 8 red marbles, 4 blue marbles, and 5 white marbles. Tom picks two marbles at random, without replacement. What is the probability that Tom picks two blue marbles?
Answer:
11.76% rounded to place value
Step-by-step explanation:
Add all values to get 17. 2 / 17 = 0.117647...... 11.76% chance
what is 13 more than 3 times a number is 34 and what is the solution
Answer:
13 + 3x = 34
Variables:
x = random number
It's free!
Enjoy! :)
A triangular pyramid is 30 meters tall and has a base area of 500 square meters. What is the volume of the pyramid?
A) 7,500
B) 5,000
C) 15,000
D) 6,200
Answer:
C
Step-by-step explanation:
if it has a base area that means 500/4 = 125 so each side is 125 on the base.
The formula for the volume of a triangular pyramid is 1/3lwh.
if L=125 and w=125 and H= 30
we multiply 125·125·30=468750
and 468750/3=156250
so rounding that, our base would be C)15,000
Write an equation in slope and intercept form of the line (0,4) and (2,0)
Answer:
y = -2x + 4
Step-by-step explanation:
1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,4) and (2,0) into it. Then, solve:
[tex]m = \frac{(0)-(4)}{(2)-(0)} \\m =\frac{0-4}{2-0} \\m = \frac{-4}{2} \\m = -2[/tex]
So, the slope is -2.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that the line intersects (0,4), and that point has an x-value of 0. Thus, it must be the y-intercept.
3) With the found information, write the equation of the line in slope-intercept form, represented by the equation [tex]y = mx + b[/tex]. The [tex]m[/tex] , or the coefficient of the x-term, represents the slope. So, substitute -2 in its place. The [tex]b[/tex] represents the y-intercept of the line, so substitute 4 in its place. This gives the following answer:
[tex]y = -2x + 4[/tex]
Mr. Benson must give each child 3/12 of a pizza. She is feeding 8 children. How much pizza does Mr. Benson need to make.
Answer:
2 pizzas to feed 8 children
Step-by-step explanation:
3/12 simplified is 1/4
this means that with one pizza you can feed four children.
A certain store sells only T-shirts. Let the random variable X represent the number of T-shirts bought from the store on any day, with a mean of 75 and a standard deviation of 20. Let the random variable Y be the total revenue from this store on a randomly selected day. If the store charges $15 per T-shirt, what are the mean and standard deviation of Y
Answer:
[tex](a)\ \mu_y = 1125[/tex]
[tex](b)\ \sigma_y = 300[/tex]
Step-by-step explanation:
Given
[tex]\mu_x = 75[/tex] -- Mean of T-shirts
[tex]\sigma_x = 20[/tex] -- Standard deviation of T-shirts
[tex]Rate = \$ 15[/tex]
Solving (a): The mean of the revenue [tex](\mu_y)[/tex]
To solve this, we use:
[tex]\mu_y = Rate * \mu_x\\[/tex]
This gives:
[tex]\mu_y = 15 * 75[/tex]
[tex]\mu_y = 1125[/tex]
Solving (b): The standard deviation of the revenue [tex](\sigma_y)[/tex]
To solve this, we use:
[tex]\sigma_y = \sqrt{Rate^2 * \sigma_2^2}[/tex]
This gives:
[tex]\sigma_y = \sqrt{15^2 * 20^2}[/tex]
[tex]\sigma_y = \sqrt{90000}[/tex]
[tex]\sigma_y = 300[/tex]
What is the perimeter??
Answer:
soma tudo se n for multiplica
A coin and a number cube with the numbers 1 through 6 are tossed. What
is the probability of the coin showing tails and the number cube showing
the number 3?
a. 1/12
b. 1/4
c. 1/8
d. ½
with some justification please
Answer:
yes
Step-by-step explanation:
opo
Does anyone know what the answer please???
Answer: 8
As you can see, ABCD is similar to FECG which means its just a bigger or smaller version of the other. The sides change by a specific amount like times 2 or divided by 2
In this case abcd is 2x bigger thab fecg. You can see this by the side BC being 10 and it is the same side on the other shape being 5 so you know FECG is just ABCD x 1/2
Because of this since we know what FG is (4) on FECG we know y is 2x that side so it is 8.
i need this fast thank you! :)
Answer:
C
Step-by-step explanation:
Hope this helps! Good Luck!
a
explanation
1/5280 = 5/x
the 1 and 5 represent the miles
5280 and x represent the total ft
so 5280 x 5 would be how to solve x because whatever you do the top you do the bottom which 1 x 5 being 5 so 5280 x 5 being 26400
If Sherry saves one-eighth of her paycheck and places it in a savings account, and each paycheck is $450,
then how much does she save?
Answer:
$56.25
Step-by-step explanation:
450/8=56.25
pls help find area and perimeter
Answer:
A is 14 and P is 17
Step-by-step explanation:
working is above mentioned
267.4 divided by 1\10
Answer:
2674
Step-by-step explanation:
267.4 divided by 1/10 is the same as 267.4/.10 which you can use a calculator and solve that easly.
Or you can do 267.4/1 times 10/1 because when you are dividing, you flip the second number and mutply instead of divide. And when doing that, the answer is the same.
Multiplying Polynomials write in standard form
(x+3)(x+4)
Answer:
x² + 7x + 12
Step-by-step explanation:
1. (x +3)(x+4) - Distribute
2. x² + 4x +3x + 12 - Add like terms
3. x² +7x + 12
The recipe for a fruit salad calls for 5 bananas, 3 peaches, 2 apples, 1 pear, 8 strawberries, 1 cantaloupe, and 2 oranges. What is the ratio of peaches to the total?
Answer:
3/22
Step-by-step explanation:
add all fruits together-
5+3+2+1+8+1+2
8+3+9+2
11+11
22
there are 3 peaches. Ratio- peaches/total
Ratio- 3/22
Hope this helps. Have a nice day you amazing bean child.
Answer:
3/22
Step-by-step explanation:
also hi