Answer:
0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes
Step-by-step explanation:
When the distribution is normal, we use 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.
Math homework:
[tex]\mu_M = 30, \sigma_M = 3[/tex]
Arts homework:
[tex]\mu_A = 40, \sigma_A = 4[/tex]
What is the probability that the average time it takes to complete both homework assignments is greater than 82 minutes?
Here, we have a sum of normal variables. The mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances. So
[tex]\mu = \mu_M + \mu_A = 30 + 40 = 70[/tex]
[tex]\sigma = \sqrt{\sigma_M^2 + \sigma_A^2} = \sqrt{3^2+4^2} = 5[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 82. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{82 - 70}{5}[/tex]
[tex]Z = 2.4[/tex]
[tex]Z = 2.4[/tex] has a pvalue of 0.9918
1 - 0.9918 = 0.0082
0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes
Please Help me with this. please don't take my points-
Answer:
c
Step-by-step explanation:
Answer:
ima say c since the other person did.
but it already takes points from u when u make this question btw.
Step-by-step explanation:
What is the correct graph of the equation,
y = 1/2x + 3
Would C be the correct choice? What do you think is the correct answer?
Answer:
C
Step-by-step explanation:
It goes up one and over two and has a y-intercept of 3
Answer:
c pls give brainiest
Step-by-step explanation:
the y-intercept is 3
the slope is less than 1 so it must be c
The school band collected $3,240 for 380 tickets sold to their spring concert. Adult tickets were $12 each and student tickets were $6 each. How many adult tickets were sold?
160 adult tickets were sold
How to determine how many adult tickets were sold?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Set up equations to represent the problem.
Let the A and S represent the number of adult and student ticket respectively. So we can write:
12A + 6S = 3,240 --- (1)
A + S = 380 --- (2)
From (2):
S = 380 - A ---- (3)
Put (3) in (1):
12A + 6S = 3,240
12A + 6 (380 - A) = 3,240
12A + 2280 -6A = 3,240
6A = 3,240 - 2280
6A = 960
A = 960/6
A = 160 tickets
Thus, the number of adult ticket sold is 160
Learn more about word problems on:
brainly.com/question/13818690
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The area of a rectangle is 600 square meters the width is 30 meters what is the length
Answer:
l = 20 m
Step-by-step explanation:
600/30 = 20
6х2 + 6 = 12х + 18
Help ):
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=0
Step-by-step explanation:
Four points are always coplanar if they:
Four points are always coplanar if they: lie in same plane.
Firstly understanding the coplanar points. Coplanar points are refers to the points if they are present in same plane. Further defining the word "plane". Plane is the surface, which is flat and two dimensional in nature. The surface is infinite. Plane can also be referred as the analogue of 3 dimensional space, you we can also interpret the plane as extension of point or line.
So, the points that lie on different planes will not be coplanar. Now, understanding the points on lines. Two or more lines may or may not be in same plane. Subsequently, points may or may not be coplanar, depending upon the lines they are placed on. Thus, we can not definitely say that points lying on the same line are coplanar.
Learn more about coplanar points -
https://brainly.com/question/24430176
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Using a calculator.. I need help please .
Answer:
Just input sin(9), sin(30), sin(81), etc.
For this set, you need a scientific calculator or else, you won't be able to answer that. There is a way but that is already obsolete now.
HELP PLS MATH HELP ASAP CORRECT ANSWER ONLY PLS
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
3(2)+2=8
3(3)+2=11
3(4)+2=14
3(5)+2=17
3(6)+2=20
Sum=70
Find missing numbers to make equation true.
11=____ +4
___ -4=5
10+5=6+____
9-___=13-10
14-____=2+2
Answer:
1. 7
2. 9
3. 9
4. 6
5. 10
I believe
Please help!
What is the slope of HI? Justify your answer.
Write a equation that represents line s.
Answer:
slope of HI is -2
Step-by-step explanation:
so the line looks straight to me so just solve for the slope of D(8,32) E(12,24) which you solve with the equation y2 - y1/x2 - x1
so... 24 - 32 = -8 and 12 - 8 = 4
-8/4 = -2
I hope I helped you ;)
3.) Which is the best description of the table
below?
*Look at picture for the table*
A. Linear
B. Nonlinear
C. Both linear and nonlinear
D. Neither linear nor nonlinear
Answer:
the answer is
A
Step-by-step explanation:
Help!!!!! Solve the distance??
Answer:
531.4
Step-by-step explanation:
ED/AE=BC/AB
ED=AE*BC/AB
ED=240*620/280
ED=531.4
choose yes or no to indicate which of the equations can be used to describe the pattern in the table (am i correct??????)
Answer:
Yes
Step-by-step explanation:
which pair of rational numbers are equivalent?
1/3 and .3
2/5 and .25
5/6 and .833...
9/10 an .09
PLS HELP
Answer:
5/6 and 0.833
Do you mind putting Brainliest plz
what percent of 23 is 51 ?
Answer:
I think its 45.1
Step-by-step explanation:
You can go online to the percent calculator and look.
A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds. Group of answer choices
Answer:
0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.
Step-by-step explanation:
When the distribution is normal, we use 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.
In this question, we have that:
[tex]\mu = 450, \sigma = 60[/tex]
Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.
This is the pvalue of Z when X = 312. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{312 - 450}{60}[/tex]
[tex]Z = -2.3[/tex]
[tex]Z = -2.3[/tex] has a pvalue of 0.0107
0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.
Find the acute angle between the two hands of a clock at 5.20 a.m.
Answer:
22
Step-by-step explanation:
40 degrees
Step-by-step explanation:
hour hand = 5 and 1/3 hours
minute hand = 20 minutes = 4 hours on the clock
the different = 1 and 1/3 hours
each hour = 360 / 12 = 30 degrees
therefore the answer = 4/3 x 30 = 40 degrees
need the answer please, I will give brainlist!
Answer
p=5. I believe
2/3 of the students passed their math test. If 16 students passed the test, how many students are in the class?
Answer:
24
Step-by-step explanation:
Please help! It due in a couple of minutes and I completely forgot how to do this.
There are 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles in a bag. A marble will be drawn from the bag and replaced 100 times. What is the reasonable prediction for the number of times a green or black marble will be drawn? A:14 B:65 C:7 D:35
Answer:
Here
Step-by-step explanation:
Make each one fraction like 5 red will be a 1/20 chance. After you make them all fractions, multiply the right ones(green or black).
Amy and Belinda each roll a sheet of 6-inch by 8-inch paper to form a cylindrical tube. Amy tapes the two 8-inch sides together without overlap. Belinda tapes the two 6-inch sides together without overlap. What is $\pi$ times the positive difference of the volumes of the two tubes
Answer:
ΔV = 24*π inches
Step-by-step explanation:
Amy Tube volume = V₁ the 6 inches sides will shape the circumference of area A₁ = π*r²
A₁ = π*(3)² and
V₁ = π*r²*h₁
V₁ = π*(3)²*8
V₁ = 72*π
In the case of Belinda, r will be 4 inches and h₂ = 6 and V₂
V₂ = A₂*h₂
V₂ = π*(4)²*6
V₂ = 96* π
Then differences of the volumes is
V₂ - V₁ = ΔV = 96*π - 72*π
ΔV = 24*π inches
Question 1 There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples? A 0.06% B. 0.4% 6% Oc. D. 40% Explain your thinking.
Answer:
the answer would be D40 because if you have 15 you take and you subtract the six from it and you wouldn't get 0.6 or 0.4 so those to A&B or eliminated but C & D where would be the only two would left and it would be D because 6 and 9 or almost equal to each other so it would be. 40 which sould be D
5w – 8x + 20y + 6z
coefficients:
Answer: It is still the same thing since there are no like terms for this equation. So 5w-8x+20y+6z is the answer. Hope this helps!
Step-by-step explanation:
I NEED THIS ASAP- Point A is located at (-5, -8). Point A is reflected across the X-axis to create point B. What is point B?
Answer:
(5,-8)
Step-by-step explanation:
if it is reflected across the X axis and this is in quadrant 3 that means if it was reflected it would fall in quadrant 2
12. At an ice cream shop, there are two bowl choices, a cone or a cylinder. Both have the same height and the diameter of their bases are the same. Which description accurately compares their relationship when comparing the volume , assuming both are filled only to the top?
Drag the slider to 3 centimeters.
The ratio of centimeters to inches is 3 centimeters to
inches.
Answer:
The ratio of centimeters to inches is 3 centimeters to 1.18 inches.
Step-by-step explanation:
Answer:
The ratio of centimeters to inches is 3 centimeters to 1.18 inches.
Step-by-step explanation:
ok ok this i need help
Answer:
2
Step-by-step explanation:
18-4^2=2
Answer:
18-k^2
18-4^2
18-16
2
PLEASEEEEEEEEEEEE HELLPPPPPPPPPPPPPPP Anna bought 2 3/5lb of grapes and Sanika bought 1/2lb less than Anna. How many pounds. of grapes did they buy in all?
Justin has 180 toothpicks. Katie says, "Justin has four times as many toothpicks as I do!" Which equation could represent this situation?
Ill give brainiiest to the person to answer.
Answer:
The first question's answer is 6 + 5 = 11
since 7 is the greatest common factor divide it into both numbers to get 6 + 5 = 11
Step-by-step explanation: