In a particular town, 20% of the homes have monitored security systems. If an alarm is triggered, the security system company will contact the local police to alert them of the alarm. Of all the alarm calls that the local police receive, they only have the manpower to answer 30% of the calls. Suppose we randomly sample one home that was broken into over the last month from this town. What is the probability that this home has a monitored security system and that the police answered the alarm call?
Answer:
The probability to have both = 0.06
Step-by-step explanation:
Given:
Security system home = 20% = 0.2
Manpower for security calls = 30% = 0.3
Find:
The probability to have both
Computation:
The probability to have both = P(Security system home) × P(Manpower for security calls)
The probability to have both = (0.2)(0.3)
The probability to have both = 0.06
Figure STOP is reflected about the y-axis to obtain figure STO′P: A coordinate plane with two quadrilaterals is shown. Figure STOP has vertices S at negative 2 comma negative 1, T at negative 1 comma negative 4, O at negative 4 comma negative 5, and P at negative 5 comma negative 4. Figure S prime T prime O prime P prime has vertices S prime at 2 comma negative 1, T prime at 1 comma negative 4, P prime at 5 comma negative 4, and O prime at 4 comma negative 5. Which statement best describes the relationship between the two figures? (4 points) The measure of angle S is equal to the measure of angle P′. The measure of angle P is equal to the measure of angle T′. Figure STOP is congruent to figure S′T′O′P′.
Answer:
Figure STOP is congruent to figure S′T′O′P′.
Step-by-step explanation:
I just took the test
Answer:
Figure STOP is congruent to figure S′T′O′P′.
Step-by-step explanation:
Just finished test and got 100%
Martina and Karina each wrote a number pattern on a strip of paper for each other to figure out. Find the next two numbers in Martina's number pattern. Describe the pattern and explain how you found it. 2, 6, 10, 14, ...
Answer:
18
Step-by-step explanation:
the pattern is adding 4
If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X. That is, find E(X). Round to the whole number. Do not use decimals. Answer:
Answer:
9
Step-by-step explanation:
E(X) = np
E(X) = (15) (0.6)
E(X) = 9
The mean of the X is 9.
What is the mean of the binomial distribution?The mean of a binomial distribution is the expected value (long-run average) of the number of successes in the given number of trials.
Formula for calculating mean of binomial distribution[tex]\mu_{x} = n.p[/tex]
where,
[tex]\mu_{x}[/tex] is the mean of the binomial distribution
n is the number of trials
and, p is the probability of success
According to the given question.
We have
Number of trials, n = 15
Probability of success, p = 0.6
Therefore, the mean of X is given by
[tex]E(X) = 15(0.6)[/tex]
⇒ [tex]E(X) = 9[/tex]
Hence, the mean of the X is 9.
Find out more information about mean of the binomial distribution here:
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help help help help
Answer:
combine like terms
Step-by-step explanation:
Simplify: 6 (4x - 5)
Answer:
=24x−30
Step-by-step explanation:
=(6)(4x+−5)
=(6)(4x)+(6)(−5)
=24x−30
Answer:
6 (4x - 5)
24x -30
i think question is not complete
Step-by-step explanation:
2. In a survey of 1000 citizens in Seattle, Washington, 570 said they would pay higher prices in order to reduce greenhouse emissions. City planners conclude that between 55-59% of all Seattle citizens would do so.
a. What is the sample here? And what is the population? (1pts)
b. Is this a descriptive or a statistical inference? Why?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Selected = 1000[/tex]
(a): Samples & Population
The samples are the selected data from an overall population.
In this case, the samples are the selected citizens in Seattle, Washington
Since 1000 citizens were selected
[tex]Samples = 1000[/tex]
Also, since the samples were selected from citizens in Seattle, Washington
Then the population are the citizens in Seattle, Washington
(b): Type of Statistics
From the question, we observe that the data was used to conclude that between 55% and 59% of the population would pay higher price.
This type of statistics is referred to as the inferential statistics.
An executive committee consists of 15 members: 7 men & 8 women. 5 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What’s the probability that all 5 selected are women?
Answer:
1.8%
Step-by-step explanation:
(8c5 * 7c0)/15c5
= 0.018
This is the answer which I get when I solve this... cross check the calculations once.
I need to find the area below!
HELP!
The equation A=1250(1.03)^7 is being used to calculate the amount of money in a savings account. What does the 1.03 represent in this equation?
Answer:
The amount of Interest
Step-by-step explanation:
I'm 98% sure. It make sense because that how much interest ^7 you would multiply by 1250. And I've had questions like this. Hope this helps!
Write an equation for the parent function y = x^ 2 stretched by a factor of 6 and shifted down 4 units?
Answer:
Translations
y = f (x) + k up k units
y = f (x) - k down k units
y = f (x + h) left h units
y = f (x - h) right h units
Stretches/Shrinks
y = m·f (x) stretch vertically by a factor of m
y = ·f (x) shrink vertically by a factor of m (stretch by
y = f (x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by )
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x
Hope this helps
Step-by-step explanation:
Find the product of the complex number and its conjugate. 3 + 3i
18
9 - 9i
0
9 + 9i
Answer:
18 or A
Step-by-step explanation:
a+ai (a-ai)
What are the coordinates of the image of (- 4, 5) under the translation (x,y) (x-3,y+5)
(-4-3) (5+5) = -7,10
Find x so the distance between the points (x,2) and (-1,-2) is [tex]2\sqrt{5}[/tex]
x =_____ , ______
Answer:
x = -5 , 3
Step-by-step explanation:
(x₁ , y₁) = (-1, -2) & (x₂, y₂) = (x , 2)
[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]
Take square both sides,
x² + 2x + 5 = (2)²(√5)² {(√5)² = √5*√5 = 5 }
x² + 2x +5 = 4 * 5
x² + 2x + 5 = 20
x² + 2x + 5 - 20 = 0
x² + 2x -15 = 0
x² + 5x - 3x - 5*3 = 0
x(x + 5) -3(x + 5)=0
(x + 5)(x - 3) = 0
x + 5 = 0 ; x - 3 = 0
x = -5 ; x = 3
x = -5 , 3
rachel is setting up for her birthday . rachel wants to put the same number of chairs around each table . how many chairs will rachel place around each table at her birthday party ?
choices
3
4
5
6
Answer:
6 chairs around each table
Step-by-step explanation:
just did it
The ratio of dogs to cats at a veterinarians office is 5 to 3 if there are 15 cats how many total animals are at the office
Answer: 25
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
because if ther are 15 cats then you tomes the 3 by 5 so 5 x 5=25. Then you would do 25+15=40
Maggie's brother is 10 years younger than three times her age. The sum of their ages is 50. How old is Maggie?
Maggie is _____ Years old
Answer:
9
Step-by-step explanation:
Create a one-to-one function.
Answer:
f(x)=x
Step-by-step explanation:
that's keeping it simple... ;-)
The function g(x) is graphed below. Find g(2).* N 22 need help solving please
Answer:
x =2, The function g(x) = g(2) = 1
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 162 pounds requires 216 milligrams of medicine.
What is the weight of a patient who requires 220 milligrams of medicine?
Answer:
It should be 176,
Step-by-step explanation:
hope this helps!
Can someone Identify the terms and coefficients;
8x-20y-10
Answer:
cooeficients are + 8,20 and 10
terms are x and y
5.4 inches of snow fell in 3.6 hours. How much snow fell per hour?
Answer:
1.5 per hour.
Step-by-step explanation:
By proportion that is 5.4 / 3.6
= 1.5 per hour.
What is the value of x that satisfies the equation 4/3=x+10/15
Answer:
4/3=x+10/15
x=4/3 - 10/15
x=4/3 - 2/3
x=4-2/3
x=2/3
Kirk's goal was to save $300 for a trip. In the first week, Kirk saved $16 from his allowance and $54 from his job. He spent $5 for lunch one day and another $2 on the bus. The second week, Kirk saved $62 and another $41 but spent $2 for the bus and $4 for lunch. How much money did Kirk save after 2 weeks? Choose the correct answer below and fill in the answer box to complete your choice.
Answer:
160 dollars.
Step-by-step explanation:
16+54= 70
5+2=7
70-7=63
62+41=103
2+4=6
103-6=97
97+63=160
Hope this helps! ^^
Answer:
║Ф║Hello Person!║Ф║Your answer should be:
460300+16+54-5-2+62+41-2-4= 460
Step-by-step explanation:
Δ I hope this helped you! Δ
(I would appreciate a brainliest!)
║∅║Thanks for your time!║∅║
Is 0.843 less than 0.846
Answer:
0.003
Step-by-step explanation:
6-3 =3 and 4-4 = is 0 and 8-8= 0 so the answer is 0.003
Need help on this question
Answer:
angle 4
Step-by-step explanation:
the circumference of a new P205/70R16 tires is 85.66in. if the old factory installed tires had a circumfrense of 72.13 in find the ratio
Answer:
wait one second
Step-by-step explanation:
i am working on it
Four sisters buy a total of 3 1/2 feet of ribbon . The sisters want to share the ribbon equally how many feet of ribbon will each sister receive? 3/8 ft , 1/4 ft,1/2 ft, 7/8 ft
Answer:
each sister receives (7/8) ft of ribbon
Step-by-step explanation:
Let's start by writing the total amount of ribbon in fraction form:
3 1/2 = 3 + (1/2) = (7/2)
Now, we need to perform the division: (7/2) divided by 4
in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):
(7/2) divided 4 = (7/2) x (1/4)
and we multiply the fractions obtaining:
(7/8)
So, each sister receives (7/8) ft of ribbon
you can afford a $250 per month car payment. you've found a 3 year loan at 2% interest . how big of a loan can you afford
Answer:
interest = 250
time = 3 years
rate = 2%
we know
P = I*100/(R*T)
= 250*100/6
=4166.67
Step-by-step explanation:
A bus makes a stop at 2:30 letting off 12 people
What's the question?