Answer:
x Square root 5x
Step-by-step explanation:
A study finds that the number of gallons of water used each month per household in a
residential neighborhood are normally distributed with a mean of 470 gallons and a
standard deviation of 50 gallons. A household is randomly selected. What is the
probability that the household uses 480 gallons of water or less per month?
Answer:
0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 470 gallons and standard deviation of 50 gallons.
This means that [tex]\mu = 470, \sigma = 50[/tex]
What is the probability that the household uses 480 gallons of water or less per month?
This is the pvalue of Z when X = 480. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{480 - 470}{50}[/tex]
[tex]Z = 0.2[/tex]
[tex]Z = 0.2[/tex] has a pvalue of 0.5793
0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month
A police officer estimated the distance from one side of a street to the other to be 14m . The actual distance was 13.4.
Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth.
NO LINKS
Answer:
Part A. The absolute error is 0.2
Part B. The percent error is 1.45
Step-by-step explanation:
Hope this helps! :)
P.S I can tell that you have experience with the bots who ask you to go press a link. :)
Which equation could represent the following:
5 less than a number is 8.
On - 5 = 8
0 5 - n = 8
On + 5 = 8
0 5 + n = 3
Answer:
n - 5 = 8
Step-by-step explanation:
5 less than a number = a number subtracted by 5
Please help!! I’ll give branliest!!!
Answer:
4.88
Step-by-step explanation:
sinA=opposite/adjacent
sin24=x/12
12(0.40673664307)=x
x=4.88083971691
Hope has 3 pencils, 5 pens, and 7 erasers. Which fraction represents the
number of pens she has to the total number of school supplies?
Answer:
1/3
Step-by-step explanation:
Answer:
Hence, your answer is 1/3.
Brainliest would be appreciated!!!!
Please help me Asap i really need this
Answer:
B
Step-by-step explanation:
Answer:
B brainlist
Step-by-step explanation:
multipaction equation that will help find the number 23
Answer:
23*1, -23*-1
its prime sorry bestie
it's a prime equation sorry
In 3/13 the 3 is called the:
index
radical sign
radicand
radical
Answer:
index
Step-by-step explanation:
Find the area of the circle. Leave your answer in terms of
4.1.
A) 4.2025
B) 8.405
C) 16.81
D) 11.2
A) 4.2025
Area= pir^2 r=d/2 4.1/2=2.05 pi(2.05)^2 final answer: 4.2pi
An orange traffic cone has a diameter of 14 inches and a height of 28 inches. What is the volume of the traffic cone? Round to the nearest tenth.
Answer:
14367 inch^3
Step-by-step explanation:
Diameter of the cone= 14 inches
Radius of the cone= Diameter/2= 14/2= 7 inches
Height= 28 inches.
Volume of the cone = 1/3 π r^2 .h
Then substitute for the values, we have
Volume= 1/3 × π × 7^2 × 28
Volume= 1436.9 inch^3
Volume in nearest tenth= 14367 inch^3
HELP I’LL DO ANYTHING I ALSO HATE LINKS SO PLEASE NOOOOO LINKS
Answer:
0.7
Step-by-step explanation:
_______
0.7
-----------------
A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit survey was conducted with a random sample of 9 seniors. The sample mean was 7 novels with standard deviation 2.29 novels. Assuming that all conditions for conducting inference have been met, what is a 95 percent confidence interval for the population mean number of novels read by all seniors?
Answer:
(5.240 ; 8.760)
Step-by-step explanation:
Given :
Sample mean, xbar = 7
Standard deviation, s = 2.29
Sample size, n = 9
95% confidence interval for the population mean :
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Tcritical at 0.05 ; df = 8 = 2.306
Margin of Error = 2.306 * 2.29/sqrt(9)
Margin of Error = 1.760
Lower boundary = (7 - 1.760) = 5.240
Upper boundary = (7 + 1.760) = 8.760
(5.240 ; 8.760)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the remainder of (x^4 - 2) divided by (x + 1).
Answer:
-1 is the remainder
hope it helps
Answer:
-1 is the remainder for this problem.
Step-by-step explanation:
Plato.
Is 5.094 greater or less than 5.904
Answer:
Less
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
5.904 is greater because the 9 is closer to the decimal than the 9 of 5.094
there are 47 numbers Find the probability that i will pick the 6 winning numbers in a draw
Answer: You have six numbers on your ticket. In drawing the first number from the collection of 45, one of those six numbers must be drawn in order for you to still have a chance of winning the big prize. So following the draw, the probability is only 6/45 (or 1/9) that you’re still in the game.
You can now see that on each successive draw the probability steadily drops- to 5/44, 4/43, 3/42, 2/41, and for the last number 1/40. As other answers have stated, there are 8,145,060 possible draws of six numbers and only one makes you a winner.
If you bought ten tickets for every drawing, the odds reach a 50% chance of having won at about 520,550 drawings. Assuming two drawings per week, the chance of winning reaches 50% in about 5,200 years.
Of course, SOMEONE will win and if you don’t play, your chance of winning is zero. It’s kind of fun to occasionally buy lottery tickets just for the dream of winning but don’t spend a lot of money on them.
5.9K viewsView upvotes · Answer requested by Arthur C. Thorpe
7
Related Questions (More Answers Below)
Step-by-step explanation:
A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the circular flower bed.
Answer:
I. Circumference of circular flower bed = 31.42 ft.
II. Area of circular flower bed = 78.55 ft²
Step-by-step explanation:
Given the following data;
Diameter = 10 ft
Radius = diameter/2
Radius = 10/2
Radius, r = 5 ft
I. To find the circumference of the circular flower bed;
Circumference of circle = 2πr
Substituting into the formula, we have
Circumference of circular flower bed = 2*3.142*5
Circumference of circular flower bed = 31.42 ft
II. To find the area;
Area of circle = πr²
Substituting into the formula, we have;
Area of circular flower bed = 3.142*5²
Area of circular flower bed = 3.142*25
Area of circular flower bed = 78.55 ft²
Evaluate: 2x-5y for x=-7 and y=-2
Answer:
-4
Step-by-step explanation:
1. Substitute the x values and y values
2(-7) -5(-2)
-14 +10
-4
A university is applying classification methods in order to identify alumni who may be interested in donating money. The university has a database of 58,205 alumni profiles containing numerous variables. Of these 58,205 alumni, only 576 have donated in the past. The university has oversampled the data and trained a random forest of 100 classification trees. For a cutoff value of 0.5, the following confusion matrix summarizes the performance of the random forest on a validation set:
Predicted
Actual No Donation Donation
Donation 268 20
No Donation 5375 23439
The following table lists some information on individual observations from the validation set:
0.8
Observation ID Actual Class Probability of Donation Predicted Class
A Donation 0.8 No Donation
B No Donation 0.1 Donation
C No Donation 0.6 Donation
Compute the values of accuracy, sensitivity, specificity, and precision.
Answer:
Accuracy = 0.81
Sensitivity = 0.93
Specificity = 0.81
Precision = 0.047
Step-by-step explanation:
Given the confusion matrix :
Actual_______ Donation___ No Donation
Donation______ 268 (TP) _______ 20 (FN)
No Donation ___5375 (FP) _____23439 (TN)
Accuracy is calculated as :
(TP + TN) / (TP+TN+FP+FN)
(268 + 23439) / (268 + 23439 + 5375 + 20)
ACCURACY = (23707 / 29102) = 0.81
Sensitivity (True positive rate) :
TP ÷ (TP + FN)
268 ÷ (268 + 20)
268 ÷ 288 = 0.93
Specificity (True Negative rate) :
TN ÷ (TN + FP)
23439 ÷ (23439 + 5375)
23439 ÷ 28814
= 0.81
Precision :
TP ÷ (TP + FP)
268 ÷ (268 + 5375)
268 ÷ 5643
= 0.047
£150 is divided between Nick, June & Sushil so that Nick gets twice as much as June, and
June gets three times as much as Sushil. How much does June get?
Answer:
Amount June get = £45
Step-by-step explanation:
Given:
Total amount divided = £150
Amount Nick get = 2 x Amount June get
Amount June get = 3 x Amount Sushil get
Find:
Amount divided between Nick June and Sushil
Computation:
Assume;
Amount Sushil get = a
Amount June get = 3 x Amount Sushil get
Amount June get = 3a
Amount Nick get = 2 x Amount June get
Amount Nick get = 2 x 3a
Amount Nick get = 6a
Amount Sushil get + Amount June get + Amount Nick get = Total amount
So,
a + 3a + 6a = 150
10a = 150
a = 15
So,
Amount Sushil get = £15
Amount June get = 3a
Amount June get = 3 x 15
Amount June get = £45
Amount Nick get = 6a
Amount Nick get = 6 x 15
Amount Nick get = £90
Can somebody please help me?
2+2
Answer:
4 is the answer =)
on January 17 2014 snow fell for 3 3/4 hours in Amarillo Texas if it snowed a total of 3 feet how much snow fell per hour?
Answer:
Step-by-step explanation:
1 2/8 feet of snow
if y-8=5x, what is x when the value of y= -87
Answer:
-19
Step-by-step explanation:
Hope this helps
Answer: Y-8=5X Y=-87 -87-8=5X -95=5x -95 divided by 5 = -19
X= -19
Step-by-step explanation:Quick mafs
2x^2 + 16x + 28 = 0?
Answer:
[tex]x=-4+\sqrt{2}[/tex]
[tex]x=-4-\sqrt{2}[/tex]
Step-by-step explanation:
The quadratic formula is an equation that can be used to find the roots of a quadratic equation when one is given the equation in standard form. A quadratic equation in standard form is the following,
[tex]ax^2 +bx + c=0[/tex]
The quadratic formula is the following,
[tex]\frac{(-a)(+-)\sqrt{(x)^2-4(b)(c)}}{2(a)}[/tex]
Substitute in the given coefficients for the following equation,
[tex]2x^2 + 16x + 28 = 0[/tex]
Substitute,
[tex]\frac{-16(+-)\sqrt{(16)^2-4(2)(8)}}{2(2)}[/tex]
Simplify,
[tex]\frac{-16(+-)\sqrt{256-224}}{4}\\\\=\frac{-16(+-)\sqrt{32}}{4}\\\\=\frac{-16(+-)4\sqrt{2}}{4}\\\\=-4(+-)\sqrt{2}[/tex]
The roots of the quadratic equation ([tex]2x^2+16x+28=0[/tex]) are ([tex]x=-4+\sqrt2[/tex]) and ([tex]x=-4-\sqrt{2}[/tex])
Figure ABC is similar to figure XYZ.
What is the value of x in meters?
FOR BRAINLIST!!!
Answer:
D. 10m
Step-by-step explanation:
I hope you trust me
3. Find the slope of the line through the pair of points.
(12, 2), (-7,5)
Answer:
-3/19
Step-by-step explanation:
Given data
We have the coordinates
(12, 2), (-7,5)
x1=12
y1=2
x2=-7
y2=5
The expression for the slope is given as
Slope= y2-y1/x2-x1
Substiute
Slope= 5-2/-7-12
Slope= 3/-19
Hence the slope is -3/19
Billy invites 11 friends to his house for a meal.
He decides to make apple pie.
Billy has this list of ingredients.
Apple pie
serves 4 people
750 g apples
25 g caster sugar
150 g plain flour
50 g butter
75 g brown sugar
Billy has 2500 g of apples.
(a) Does he have enough apples to make apple pie for 12
people?
Show a check of your working.
(4)
Answer:
the answer is in the photo
Step-by-step explanation:
Joe ran 12 laps around the field to run a total of 1 km on Sunday. How many laps will he need to run on Monday to run 4/6 of a km?
Answer:
[tex]4 \div 6 \times 12 = 4 \times 2 \\ \\ 4 \times 2 = 8[/tex]
so, 8 laps
please mark it brainliest
Write the five-number summary of the following set of data: 5, 7, 8, 10, 10, 11, 13, 15, 16, 20?
Maximum
________________
Q1 (1st Quartile):???
Q2 (Median): ????
Q3 (3rd Quartile):????
What is the Maximum:???
Answer: Q1 10 Q216 Q3 8
Step-by-step explanation:
BECAUSE I THIK THAT IS THE ANSWER
Please fill in this for 20 points and brainlist <3333
Answer:
1. [tex]750(0.041) = $30.75[/tex]
2. [tex]90.75 - 55 = 35.75\\\frac{35.75}{55} = 0.65\\[/tex] 65%
3. [tex]13(1.06) = 13.78[/tex]
Please remember to brainlist this answer
Answer:
give them brainliest
Step-by-step explanation:
Help me plssss NO LINKS PLSSSSSSS
Answer:
perimeter- 36 in.
area- 77 [tex]in^2[/tex]
Step-by-step explanation:
to find the perimeter you add all of the sides, so
7 + 7 + 11 + 11 = 36
*** the opposite side of the 7 is also 7, same with the 11 :)
to find the area for a rectangle, you use the formula A=b*h
so, the base(b)=7 and the height(h)= 11
therefore, 7 * 11 = 77
I hope this helps!! :) if it does, brainliest?? :)