Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent report notes that 60% of island residents of a country have reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from a city on this island find the probability of each of the following events. (Round your answers to three decimal places.)
a. At least four qualify for the favorable rates.
b. All five quality for the favorable rates.
Answer: Many utility companies promote energy conservation by offering discount rates to ... who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
Step-by-step explanation:
176.625 rounded to the nearest tenth
Answer:
176.6
Step-by-step explanation:
Answer:
180 idrk
Step-by-step explanation:
Graph the line with slope 6 and y intercept -3
Answer:
Step-by-step explanation:
Construct triangle ABC such that AB = 8cm, BC = 6.5 cm and angle ABC = 80 degree. Measure and write down the length of AC.
Answer:
AC = 9.39 cm
Step-by-step explanation:
sin 80 = m/8
m = 7.88
cos 80 = n/8
n = 1.39
p = 6.5 - 1.39 = 5.11
AC² = 7.88² + 5.11²
AC = 9.39 cm
Can someone
Please
Help me
Answer:
First let's calculate the area of the bottom part
diameter is 34 m
so the radius (r) is 1/2 * 34 m = 17 m
bottom part is 1/2 of a circle
circle surface area formula is πr²
so surface area of our bottom part is 1/2 * πr²
1/2 * πr² = 1/2 * 3,14 * 17² = 453,73
so it's 453,73 m²
Triangle part consists of 2 smaller rectangular triangles
surface area for rectangular triangle is 1/2 * a * h
in our case a = r = 17 m and h = 30m
so one smaller rectangular triangle is 1/2 * r * h = 1/2 * 17 * 30 = 255
so it's 255 m²
and because our entire triangle part consists of 2 smaller rectangular triangles it's area is 2 * 255 m² = 510 m²
Surface area of the entire figure is a sum of 510 m² and 453,73 m²
510 m² + 453,73 m² = 963,73 m²
Round up 64,781 to the nearest ten thousand
64,781
/\
|
60,000
---
hope it helps
Answer:
60,000
Step-by-step explanation:
Hope This Helps ; )
Plz Mark Brainliest
A cube is a special right rectangular prism with congruent sides. If a block of cheese is shaped like a cube with a length of 5 inches, find the volume of the block of cheese.
A) 25 cubic inches B) 100 cubic inches Eliminate C) 125 cubic inches D) 175 cubic inches
Answer:
125 cubic inches
Step-by-step explanation:
Hey There!
We can easily find the volume of a cube by cubing the side length
[tex]5^3\\5*5=25\\25*5=125[/tex]
so we can conclude that the volume of the block of cheese is 125 cubic inches
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house how tall does the ladder need to be?
Answer:
15 ft TRUST ME I LOVE MATH
When I think of a number and halve it, then
result is 7. Form an equation and solve it to fins
the number that I thought of.
Answer:
14
Step-by-step explanation:
7 × 2 = 14
the number you thought of was 14
:)
Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ
Need help, fast!
See attachment to get your answer. Thanks.
What expression is equivalent to 1/3x + 1/4 - 2/3x
Show work please
Answer:
1/12 * (-4x+3)
Step-by-step explanation:
1/3x + 1/4 - 2/3x
1/12 * (4x+3-8x)
1/12 * (-4x+3)
Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?
44) You and a friend are each driving a car in opposite directions. You both leave your house at the same time. If you are traveling at "a" miles an
hour and your friend is traveling at "b" miles an hours, make up a formula to show how far apart the two cars are after 5 hours. Let "Y" represent the
total distance. Refer to the given diagram for help in visualizing the problem and writing the complete formula. (Hint: d = rt)
d=?
d=?
Answer:
d=42
Step-by-step explanation:
HELP ME PLEASE!!!!
I WILL GIVE BRAINLIST!!!!
Answer:
1/6
Step-by-step explanation:
Carl hits the target 50% pf the time he throws a ball at it. Carl uses a coin to simulate his next three pitches. The assigns H for a hit and T for a miss. The results of the 12 trials are shown below. Based on the results, what is the probability that cael will hit the next the Target with exactly two of his next three throws
Answer:
I have that same problem but im trying to figure out the answer
Step-by-step explanation:
Please help with these math questions I really need it ! Don't just do it for points pls
Answer:
wouldn't that be 81 but i dont know
Answer:
1. d 2. 43.5 3. 817.5
Step-by-step explanation:
Please someone if you know how to do this I need help 10. And 11 please.
Answer:
10.
bag a is lighter than bag b
bag b is lighter than bag c
so bag a is lighter that bag c
Step-by-step explanation:
... sorry i dont know #11, but hope this helps
Answer:
10.
Bag A is LIGHTER than Bag B
Bag B is LIGHTER than Bag C
So, Bag A is LIGHTER than Bag C
11.
pear is the heaviest, and the strawberry is the lightest
Step-by-step explanation:
This is really simple! Looking at the weight scale, the heavier object always goes lower than the lighter object. Knowing this, we can figure out which is heavier and which is lighter.
10.
Bag A is LIGHTER than Bag B
Bag B is LIGHTER than Bag C
Looking at these we can infer that bag c is heavier than both.
So, Bag A is LIGHTER than Bag C
11. The pear falls lower than the apple, meaning it is heavier. The apple falls lower, meaning is it heavier than the apple. We can infer that the pear is the heaviest, and the strawberry is the lightest
Hope this helps!!
-Ketifa
Work out the gradient of the line joining the points (2, 3) and (5,7)
Answer:
The gradient of the line joining the points [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex] is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line ([tex]m_{PQ}[/tex]), that is:
[tex]m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)
If we know that [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex], then the gradient of the line is:
[tex]m_{PQ} = \frac{7-3}{5-2}[/tex]
[tex]m_{PQ} = \frac{4}{3}[/tex]
The gradient of the line joining the points [tex]P(x,y) = (2,3)[/tex] and [tex]Q(x,y) = (5,7)[/tex] is [tex]\frac{4}{3}[/tex].
A culture of bacteria has an initial population of 790 bacteria and doubles every 4
hours. Using the formula P+ = Po.2, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 11 hours, to the nearest whole number?
Answer:5314.4563≈5314
Step-by-step explanation:
at a store a shirt has regular price of y dollars. During a sale, the price of the shirt by 40%. The expression 0.60y describes the discounted price, in dollars, of the shirt. Which expression also describes the discounted price, in dollars, of the shirt?
a) 0.4y
b) 7 - 0.4
c) y - 0.4y
d) y - 40
provided
What is the value of 2 in the equation 60x = 360x
Find the lettered angles.
Out of a group of 30 volunteers, 17 people are chosen to participate in a survey about the number of phone calls they make each week. What is the sample in this situation?
Answer:
i dont know
Step-by-step explanation:
cool
Answer:
I know you properly don't need it anymore but other people might so here you go!
Step-by-step explanation:
please help:) i would appreciate it lol
Answer:
subtotal: $65.00
8% sales tax: $5.20
total: $70.20
Step-by-step explanation:
A bottle-filling process has a low specification limit of 1.8 liter and upper specification limit of 2.2 liter. The standard deviation is 0.15 liter, and the mean is 2 liter. The company now wants to reduce its defect probability as 0.0455. To what level would it have to reduce the standard deviation in the process to meet this target
Answer:
The standard deviation would have to be reduced to 0.1 in the process to meet this target
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The mean is 2 liter.
This means that [tex]\mu = 2[/tex]
The company now wants to reduce its defect probability as 0.0455.
This means that:
P(X < 1.8) = 0.0455/2 = 0.02275
P(X < 2.2) = 0.0455/2 = 0.02275
This means that the pvalue of Z when X = 1.8 is 0.02275. This means that when [tex]X = 1.8, Z = -2[/tex]. We use this to find the new standard deviation [tex]\sigma[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2 = \frac{1.8 - 2}{\sigma}[/tex]
[tex]-2\sigma = -0.2[/tex]
[tex]\sigma = \frac{0.2}{2}[/tex]
[tex]\sigma = 0.1[/tex]
The standard deviation would have to be reduced to 0.1 in the process to meet this target
I need help!!!! I’m stuck!!!
Answer:
66.3
Step-by-step explanation:
Write and solve equation to answer the question 18 is 32% of what number W? And equation is equal 0.32 the solution is W equal
Answer:
W = 56.25
Step-by-step explanation:
Is is equivilent to equals.
Of is equivilent to multiplication.
18 = 0.32 x w
0.32 x W = 0.32w
18 ÷ 0.32 = 56.25
To check it,
56.25 x 0.32 = 18!!
HELPPP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
try the last one on your own then check answer
The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent p-series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Answer:
hello your question has some missing information attached below is the complete question
answer : The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Step-by-step explanation:
steps to determine if the series converges
step 1 : apply series limit comparison test
step 2 : consider Cauchy's convergence condition ; which states that ∑an converges if and only if for every ∈ > 0 there is a natural number N
attached below is the detailed solution
Burger Queen a popular fast food restaurant among college students has undertaken a study to determine the weights of the hamburgers served in its new location in San Marcos, TX. Half pounders should weigh at least 8 ounces. The weight is assumed to be normally distributed. A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
Answer:
1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces
2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So
X = 8.02
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 7.76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.5 - 0.2578 = 0.2422
0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
This is the pvalue of Z when X = 7.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
