Answer:
29.8–34.2 hours
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Mean of 32, standard deviation of 2.5.
Sample:
Sample of 5, so [tex]n = 5, s = \frac{2.5}{\sqrt{5}} = 1.1[/tex]
There is about a 95% probability that the sample mean will fall in which interval?
Within 2 standard deviations of the mean. So
32 - 2*1.1 = 32 - 2.2 = 29.8
32 + 2*1.1 = 32 + 2.2 = 34.2 hours
Manuel is preparing to run in a race. He has developed a training program in which he increases his running distance each day. If he continues to follow the same pattern, what distance will he run on the fifth day.
Day 1 -- 1 mile
Day 2 -- 2 miles
Day 3 -- 4 miles
Day 4 -- 7 miles
A.) 8 miles
B.) 9 miles
C.) 11 miles
D.) 14 miles
Answer:
c
Step-by-step explanation:
c)11 miles
the day and the miles on that day add together to make the miles for the next day so 4+7=11
Simplify: 100 ÷ 10 • 2 • 4 ÷ 2
Answer:
40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Multiply 2*4 which is 8 then divide 8 by 2 and get 4 and divide 100/10 and get 10.Then multiply 10 by 4 and get 40.
Mark translated trapezoid ABCD to trapezoid A'B'C'D'. Vertex B was at (4,3). If
B' is now at (-2, 2), what did he have to do to get there?
Answer:
jjjgfdiogmdkohmk
Step-by-step explanation:
Answer:
move 6 units left and 1 down
pls help me on this........
Answer:
9x+9
it the 3rd one
At a hockey game, a vendor sold a combined total of 148 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
here, we have,
The total number of hot dogs and sodas sold is 104 and the number of sodas sold was 3 times the number of hot dogs sold.
We have to form an equation first.
let the number of hot dogs sold be x.
Number of sodas will be 3x.
According to question :
x+3x=104
4x=104
x=26
Put the value of x in 3x to get the number of sodas sold.
=3x
=3*26
=78
Hence If the number of sodas sold was three times the number of hot dogs sold then the number of sodas sold is 78 and the number of hot dogs sold is 26.
Learn more about equation at
brainly.com/question/2972832
#SPJ2
The Crimson Bot clicks 26 times in ____ sec, and its Unit Rate is 10.4 clicks per second. Find the number of sec.
Answer: The Crimson Bot clicks 26 times in _2.5_ sec,
To find the time, Invert the Unit rate to Seconds per Click, times the number of clicks.
Step-by-step explanation:
Find Seconds per click by dividing 1/10.4
That is ⁵/₅₂ or 0.09615384615 seconds per click
Multiply by 26 clicks. ⁵/₅₂ × 26 = 2.5
Or invert the unit rate and multiply by the given number of clicks:
1/10.4 × 26 =
tell my what the hell that is please i really dont know
Answer:
The last choice (2,-2, 3)
Step-by-step explanation:
Reason is because just apply the coordinate plane to the bottom of the gray sheet. Then you have exact coordinates of G, because it is directly above C, and C is 2,-2,0, so G is 3 up, so that makes it 2, -2, 3.
There were 312 students in the school. If 24 of the
students were taking Math PACE 1056, how many students were taking Math PACE 1056?
Answer: 288
Step-by-step explanation: 312 - 24 = 288
Subtract. Simplify and write the answer as a mixed number. 5 1/3 - 2 3/4
Answer:
2 7/12
Step-by-step explanation:
5 1/3 − 2 3/4
=16/3 − 2 3/4
=16/3 − 11/4
=31/12
=2 7/12
PLEASE PLEASE HELP PLEASEEEEEEEEEEEEEEE
Answer:
Six less than five times a number is less than fourteen
Step-by-step explanation:
I had the same question on my homework haha
How many sides does a regular polygon have if each interior angle has a measure of 108° ?
Answer:
Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5.
There can be more than 1 answer btw :)
Answer:
A and D
Step-by-step explanation:
2. Mr. Penman had 2/3 liter of salt water. He used 1/5 of a liter for an experiment. How much salt water does Mr. Penman have left?
Answer:
7/15
Step-by-step explanation:
Simplify the terms:
[tex]\frac{2}{3}=\frac{10}{15}[/tex] [tex]\frac{1}{5}=\frac{3}{15}[/tex]Combine the terms:
[tex]\frac{10}{15}-\frac{3}{15}=\frac{7}{15}[/tex]Therefore, the total of salt water would be left would be 7/15..
What is 12/10 as a mixed number?
Answer:
1 1/5
a recipe calls for 1/3 cup of milk for each 1/4 cups of water how many cups of water are needed for each cup of milk.
Answer:
3/4??
Step-by-step explanation:
HELP ME WITH THIS IM DESPERATE!
Answer:
The anwser is 213.465 m2
Step-by-step explanation:
Yes uh get it i guess
Answer:
I got 114
Step-by-step explanation:
Formula for a triangle is bh1/2
(12)(19)(1/2)
228(1/2)
= 114
Hope that helps ig
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The probability of a player weighing more than 250 pounds is Group of answer choices 0.9505 0.9772 0.0228 0.4505 0.0495
Answer:
0.0228
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.
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.
This means that [tex]\mu = 200, \sigma = 25[/tex]
The probability of a player weighing more than 250 pounds is
This is 1 subtracted by the pvalue of Z when X = 250. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{250 - 200}{25}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
The probability of a player weighing more than 250 pounds is 0.0228
A garden patio is covered with grey slabs and yellow slabs.
1/5
of the slabs are grey.
a) Write down the ratio of grey slabs to yellow slabs.
Give your answer in its simplest form.
There are 55 slabs in total.
b) Work out the number of yellow slabs.
yello
A) 1:4
B) 44
There are 11 grey slabs and 44 yellow slabs.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 4 In this number.
842,963
An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.93. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the probability mass function of X.
Probability Mass Function of X
x f(x)
0
1
2
3
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Let P(X = x) mark x model number classified correctly.
The mass function of the probability:
[tex]\to f(0) = P(X=0) = (0.03)^3 = 0.0000\\\\\to f(1) = P(X=1) = (3 C_1)\times (0.97)\times (0.03)^2 = 0.0026\\\\\to f(2) = P(X=2) = (3 C_2)\times (0.97)^2 \times (0.03) = 0.0847\\\\\to f(3) = P(X=3) = (0.97)^3 = 0.9127\\\\[/tex]
[tex]x \ \ \ \ f(x) \\\\0\ \ \ \ 0.0000\\\\1\ \ \ \ 0.0026\\\\2\ \ \ \ 0.0847\\\\3\ \ \ \ 0.9127[/tex]
E/2=3 please help ASAP
Answer:
E= 6
Step-by-step explanation:
6/2 = 3
hope this helped!
Answer:
As per as the given equation
E/2=3
E=3*2
E=6
What are two combinations that equal EXACTLY $30?
Answer:
6 Cheese burgers 11 fries
4 Cheese Burgers 9 fries
Step-by-step explanation:
Answer:
2 cheese burgers($6),12 fries ($24)
6 cheeseburgers($18), 6 fries($12)
If f(x) = 6x – 4, what is f(x) when x = 8?
0.16
[tex]f(8)=6\cdot8-4=48-4=44[/tex]
Answer:
substitute x therefore 6*8=48
48-4=44
V(10, -1)->v' (i need help plz)
Answer:
in which rotation or reflection. sorry
v (10,-1)........rotation about 90°....….>v'(1,10)
formula is
v(x,y).........rotation about 90=(-y,x)
Answer:
"i just wanted points so idek"
The soccer players are in motion as they run up and down the field in the tournament at the end of the video to score a goal. One of the soccer players applied 50N of force to the right on the 2.5kg ball which encounters 3.5N of friction as it rolled across the field into the goal. Which of the following is the net force and direction of motion of the soccer ball as it rolls along the field?
................................................
-1 - 4x
1
1
4x
?
- 4x
42
-1
Answer:
I don't understand
Step-by-step explanation:
Consider a class with 30 students. Compute the probability that at least two of them have their birthdays on the same day. (For simplicity, ignore the leap year.) (b) How many students should be in class in order to have this probability above 0.5
Answer:
0.7063
Step-by-step explanation:
Given that:
Number of students = 30
Number of days in a year = 365
P(atleast 2 people share same birthday) = 1 - p(none share same Birthday)
p(none share same Birthday) =
(365! / (365 - 30)!) * 1/365^30
(365! / 335!) * 1/365^30
365! ÷ (335! * 365^30)
= 0.2936837
P(atleast 2 people share same birthday) :
1 - 0.2936837
= 0.7063163
= 0.7063 * 100%
= 70.63%
THIS ASSIGNMENT IS DUE IN 5 MINUTES...IF ITS CORRECT ILL MARK IT AS BRAINIEST, thanks in advance❤️! (this is my second time posting this, the answer isn’t 80...if you don’t know how to do this please don’t try answering the question) Find the area of the regular polygon given below
Answer:
400
Step-by-step explanation:
Answer:
11,011.055
Step-by-step explanation:
Find the sum of 4.5 x 10^-1and the quotient of 7x10^-4 and 8x10^-3
Answer:
4.5=9+8=10 cause we subbed
8+9=17
Step-by-step explanation:
(tan^(2)x)/(secx)=secx-cosx how do i verify the identity
Answer:
sec x − cos x = sin x tan x? First convert all terms into sinx and cosx. Second apply fraction sum rules to the LHS. and replace secx with 1 cosx. The LHS, secx − cosx becomes 1 cosx − cosx. The RHS, sinxtanx becomes sinx sinx cosx or sin2x cosx.
Step-by-step explanation: