9514 1404 393
Answer:
90°
Step-by-step explanation:
The lines of reflection make right angles with each other, so the angle made with the reflected points will be a right angle.
m∠BAC = 90°
Wayne is hanging a string of lights 45 feet long around the 3 sides of his rectangular patio, which is adjacent to his house. The length of his patio, the side along the house, is 5 feet longer than 2 times its width. Find the length and width of the patio.
Answer:
45=2w+L and L=2w+5
45=2w+L 45=2w+(2w+5)
45=4w+5
40=4w
10=w
L=2w+5 L=2(10)+5
L=20+5
L=25
The length of the patio is 25 feet and the width of one side of the patio is 10 feet. Because there are two width sides and one length side, this all adds up to be 45 feet long.
Can I get brainliest please?
3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.
Answer:
If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.
If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:
(-3)^2-4*2*12
=9-96
=-87
Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.
cual es el valor de 7 3/4 + 1 7/8 fraccionado
I don't understand this can you help me pls?
Pls answer fast Y=Mx+b for x
Answer:
y=mx+b
y=mx+b-b
y-b=mx
y-b/m = mx/m
y-b/m = x
Answer:
x = (y - b)/M.
Step-by-step explanation:
y = Mx + b
Mx = y - b
x = (y - b)/M.
At the Fidelity Credit Union, a mean of 7.1 customers arrive hourly at the drive-through window. What is the probability that, in any hour, less than 2 customers will arrive
Answer:
The probability that, in any hour, less than 2 customers will arrive is 0.0067.
Step-by-step explanation:
The random variable X can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.
The random variable X describes a finite number of occurrences of an event in a fixed time interval.
The random variable X follows a Poisson distribution with parameter λ = 7.1.
The probability mass function of X is:
[tex]P(X=x)=\frac{e^{-7.1}(7.1)^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability of less than 2 customers arriving as follows:
[tex]P(X<2)=P(X=0)+P(X=1)[/tex]
[tex]=\frac{e^{-7.1}(7.1)^{0}}{0!}+\frac{e^{-7.1}(7.1)^{1}}{1!}\\\\=0.00083+0.00586\\\\=0.00669\\\\\approx 0.0067[/tex]
Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.
The cost of a ticket t will be no more than 26$
Answer: What's the question?
Step-by-step explanation:
What is the coefficient in the expression 10x+8
Answer:
In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.
Answer: 10 + 8
Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!
HELP ASAP IT'S AN EMERGENCY
Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?
To find the length of Bentley’s long run, you would use:
5 – 2.25
Question 1 options:
True
False
Answer:
True
Step-by-step explanation:
If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.
Given the linear function f (x) = 4x - 2 identify the following;
Slope
Y intercept (let x = 0)
X intercept (let y = 0)
Is the function increasing or decreasing?
Answer:
slope: m = 4
y intercept: (0, -2)
x intercept: (1/2,0) the 1/2 is one half
the function is increasing
A large brick oven takes 64 minutes to cook 16 pizzas. How long would it take to cook two pizzas?
Answer:
It would take 8 minutes to cook 2 pizzas in a brick oven.
Step-by-step explanation:
Answer:
It would take 8 minutes to cook 2 pizzas in a brick oven.
A dog-washing salon is filling up the tub to was a dog. When the employee got to the tub,
there were already 2 gallons of water in the tub. She will fill the tub at a rate of 3 gallons a
minute.
Answer:
If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.
The two rates would be 3:60 and 2:40 and so on 1:20
Step-by-step explanation:
Good luck! Hope this helps! <3
1,032 divided by 10 to the 4th power
Answer:
0.1032
Step-by-step explanation:
Answer:
25000
Step-by-step explanation:
10x10=100
100x10=1000
1000x10=10000
10000x10=100000
100000 divied by 4= 25000
is -3.7 less than,greater than or equal to -3.8 ?
-3.7 is greater than -3.8, but is it not less than of equal to -3.8
g Problem 7. (10 points) A random sample of 100 Cooper County residents showed that 18 are college graduates and a second random sample of 50 Boone County residents showed that 28 are college graduates. Round your final answer to each part to three decimal places, but do not round during intermediate steps. The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is
Answer:
The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.
Step-by-step explanation:
Denote the events as follows:
C = Cooper County resident
B = Boone County resident
G = graduate
NG = non-graduate
The information provided is summarized as follows:
G NG Total
C 18 82 100
B 28 22 50
Total 46 104 150
Compute the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents as follows:
[tex]\text{Relative Risk}=\frac{\text{Graduates in Boone County}}{\text{Graduates in Cooper County}}[/tex]
[tex]=\frac{28/50}{18/100}\\\\=\frac{28}{50}\times \frac{100}{18}\\\\=3.11111\\\\\approx 3.11[/tex]
Thus, the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.
The relative risk of remaining a college graduate for Boon County residents in comparison to Cooper County residents would be 0.500
Relative risk:Relative risk is used in the statistical analysis of the data of ecological, cohort, medical, and intervention studies, to estimate the strength of the association between exposures (treatments or risk factors) and outcomes. Mathematically, it is the incidence rate of the outcome in the exposed group.
The relative risk is calculated by dividing the probability of an event for group 1 divided by the probability of an event occurring for group 2.
The probability of the Boone country resided is a college graduate,
By the formula of classical probability [tex]P(A)=\frac{m}{n}[/tex] then,
[tex]\frac{18}{100}=0.18[/tex]
The probability of cooper country resided is a college graduate is,[tex]\frac{18}{50}=0.36[/tex]
The relative risk is being a college graduate Boone country resided as compared to cooper country resident is,
[tex]\frac{0.18}{0.36} =0.500[/tex]
Learn more about the topic of Relative risk:
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Which property justifies the statement if y = 7, then 7 = y?
The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain
At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?
Show your work in the box below.
Answer _____________ price per gram of gold
Answer:
THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL
Step-by-step explanation:
How many years will it take for Steven to make a total of $21,200?
(7 points)
12
8
6
10
PLEASE HELP
ILL GIVE BRAINLIEST
Answer:
f(7x−1)=63x−16
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1
9x = 7x + 6, 2x = 6, x = 3
(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)
Answer:
If i´m correct and read the answer correct it should be:
-18x³+80x²+65x+5
Step-by-step explanation:
Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.
A large bag of cashews weighs 9 1/4 pounds. One serving is 1/5 pound. How many servings are in the bag.
Answer as a mixed number = 46 & 1/4
Answer as a decimal = 46.25
===============================================
Work Shown:
9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25
1/5 = 0.2
A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.
Let x be the number of servings
1 serving = 0.2 pounds
x servings = 0.2x pounds after multiplying both sides by x
0.2x pounds represents the total bag's weight so,
0.2x = 9.25
x = 9.25/0.2
x = 46.25 answer in decimal form
x = 46 + 0.25
x = 46 + 1/4
x = 46 & 1/4 answer in mixed number form
This means we have 46 full servings plus an additional 1/4 of a serving.
Which statement about residual plots is not true?
A. If there is an obvious pattern, the model is probably reasonable.
B. The vertical axis shows residuals.
C. The x-axis appears in the middle of the graph.
D. The sum of the residuals is 0.
Answer:
Step-by-step explanation:
d
Answer:
A
Step-by-step explanation:
What are Power functions
Answer:
A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
he cost of manufacturing a particular videotape is C(x)90009x, where x is the number of tapes produced. The average cost per tape, denoted by , is found by dividing by x. Find .
Answer:
The average cost per tape is 10.
Step-by-step explanation:
The cost of manufacturing a particular videotape is :
C(x) = 9000+9x
Where
x is the number of tapes produced.
We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]
[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]
So, the average cost per tape is 10.
Write the equation of the line:
(0,3); slope -2
Answer:
y=-2x+3
Step-by-step explanation:
the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b
Pls mark as brainliest thank u.
Find the value of a in the relation Cov(2X,−3Y+2)=a⋅Cov(X,Y) .
a=
c) Suppose that X , Y , and Z are independent, with a common variance of 5 . Then,
Cov(2X+Y,3X−4Z)=
Answer:
a = -6
Cov (2X+Y, 3X-4Z) = 30
Step-by-step explanation:
Key points:
Cov (aX, bY) = a·b·Cov (X, Y)Cov (X, X) = V (X) Cov (X, a) = 0If X and Y are independent then Cov (X, Y) = 0.Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
⇒ a = -6.
(c)
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e. V (X) = V (Y) = V (Z) = 5
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
The value of a = -6. And, Cov (2X+Y, 3X-4Z) = 30.
Calculation of the value of a and cov:Since
Cov (aX, bY) = a·b·Cov (X, Y)
Cov (X, X) = V (X)
Cov (X, a) = 0
In the case when X and Y are independent so Cov (X, Y) = 0.
Now
Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
a = -6.
(c)
here
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e.
V (X) = V (Y) = V (Z) = 5
So,
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
Learn more about variance here: https://brainly.com/question/24138432
A pancake recipe require 1 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour.
a. How many pancakes can you make with 1 cup of flour?
b. How many pancakes can you make with 9 cups of flour?
C. Do you have enough to make 100 pancakes? Explain
Quantity of flour needed to make 20 pancakes =
[tex] = 1 \frac{2}{3} \: [/tex]
[tex] = \frac{3 \times 1 + 2}{3} [/tex]
[tex] = \frac{5}{3} \: cups \: of \: flour[/tex]
Then , number of pancakes that can be made from 1 cup of floor :-
[tex]20 \div \frac{5}{3} [/tex]
[tex]20 \times \frac{3}{5} [/tex]
[tex] \frac{60}{5} [/tex]
[tex] = 12 \: pancakes[/tex] .
Therefore , 12 pancakes can be made from 1 cup of floor .
Solution (b) :-Number of pancakes that can be made with 1 cup of flour = 12 pancakes
Number of pancakes that can be made with 9 cups of flour :-
= 9 × 12
= 108 pancakes
Therefore , I can make 108 pancakes with 9 cups of flour .
Solution (c) :-Yes , I have enough flour to make 100 pancakes . I say this because :-
With one cup of flour I can make = 12 pancakes
With 9 cups of flour I can make =
= 9 × 12
= 108 pancakes
As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .
6. (02.01 MC)
The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from
patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the
Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to
the truth about the entire population? Explain. (6 points) (10 points)
Answer:
A)i) Population: Total number of people that reside in Florida..
II) Sample: 62348 people that took part in the random survey.
B) No, the estimates are not close to the truth of the entire population.
Step-by-step explanation:
A)i) The population is the total number of people that reside in Florida.
II) The sample is the 62348 people that took part in the random survey.
B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.
1. In 1995, the average level of mercury uptake in wading birds in the Everglades was 15 parts per million. If we assume that the distribution of mercury uptake has a standard deviation of 1 part per million, and a current sample of 25 wading birds has an average of 14.6 parts per million. Which null and alternative hypotheses would be used to test that the level of mercury uptake in the Everglades has decreased since 1995?
Answer:
We reject H₀, we find that the current level of mercury uptake in the Everglades has decrease
Step-by-step explanation:
We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)
Test Hypothesis:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ < μ₀
Sample size 25 then n < 30 we will use t-student table
Population mean : μ₀ = 15 ppm
sample mean : μ = 14,6 ppm
sample standard deviation: s = 1 ppm
Sample size n : 25
degrees of freedom df = n - 1 df = 24
We will develop the test for CI 90% then α = 10% α = 0,1 α/2 = 0,05
For that values in t student table we find:
t(c) = 1,711 by symmetry t(c) = - 1,711
To compute ts
t(s) = ( μ - μ₀ ) / s/√n
t(s) = 14,6 - 15 / 1 /√25
t(s) = - 0,4*5 / 1
t(s) = - 2
Comparing t(c)and t(s)
|t(s)| > |t(c) | and t(s) < t(c) -2 < -1,711
Therefore t(s) in in the rejection region, we reject H₀