Answer:
4.605170185988091
Step-by-step explanation:
ln 100 = 4.605170185988091
e^4.605170185988091 = 100
Step-by-step explanation:
100=1 log 10(1)=0
I hope this is helpful for you
A study of college football games shows that the number of holding penalties assessed has a mean of penalties per game and a standard deviation of penalties per game. What is the probability that, for a sample of college games to be played next week, the mean number of holding penalties will be penalties per game or less
Answer:
The probability that the mean number of holding penalties per game is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean number of penalties per game, [tex]\sigma[/tex] is the standard deviation and n is the number of games that will be sampled.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes 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
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
We have that:
The mean number of penalties per game is [tex]\mu[/tex] and the standard deviation is [tex]\sigma[/tex].
Sample of n games:
This means that [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
What is the probability that, for a sample of college games to be played next week, the mean number of holding penalties will be X penalties per game or less?
The probability that the mean number of holding penalties per game is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean number of penalties per game, [tex]\sigma[/tex] is the standard deviation and n is the number of games that will be sampled.
Example 3:
In how many ways can a supermarket manager display 5 brands of cereals
in 3 spaces on a shelf?
Solution:
Answer:
10
Step-by-step explanation:
5
C
3
5!/(3!(5-3)!)
5!/(3!x2!)
120/12
10
In 10 ways can a supermarket manager display 5 brands of cereals
in 3 spaces on a shelf.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
Given:
Total brands of cereals= 5
Using Combination, C(n, r)
= n!/ r! (n- r)!
So, the number of ways
= C(5, 3)
= 5!/(3!(5-3)!) 5
= 5 x 4 x 3! / 3! x 2!
= 5 x 4 /2
= 10
Thus, the total number of ways is 10.
Learn more about Combination here:
https://brainly.com/question/13387529
#SPJ6
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!!
If the measure of 0 is 90, then angle B=____
Multiple choice!
Thank you!!!
Answer:
angle B is 45 degree.
Step-by-step explanation:
since both radius are equal in a circle the triangle formed is ann isosceles triangle.
base angle of an isosceles triangle are equal
angle B be x
angle A = angle B (being base angles of a triangle)
then angle A is also x
angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)
x + x + 90=180
2x =180-90
x=90/2
x=45 degree
I need the answers Anyoneeee
Consider the following data. 15,−4,−10,8,14,−10,−2,−11
Step 1 of 3: Determine the mean of the given data
Step 2 of 3: Determine the median of the given data.
Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.
Answer:
(a) The mean is 0
(b) The median is -30
(c) The mode is unimodal
Step-by-step explanation:
Given
[tex]Data: 15,-4,-10,8,14,-10,-2,-11[/tex]
Solving (a): The mean.
This is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x =\frac{15-4-10+8+14-10-2-11}{8}[/tex]
[tex]\bar x =\frac{0}{8}[/tex]
[tex]\bar x =0[/tex]
Solving (b): The median
First, arrange the data
[tex]Sorted: -11,-10, -10, -4, -2,8,14,15[/tex]
There are 4 elements in the dataset. So, the median is the mean of the 4th and 5th item.
[tex]Median = \frac{-4-2}{2}[/tex]
[tex]Median = \frac{-6}{2}[/tex]
[tex]Median = -3[/tex]
Solving (c): The mode
The item that has occurs most is -10.
Hence, the mode is -10. The dataset is unimodal because it has only 1 mode (-10).
Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour
Answer:
Step-by-step explanation:
yes
Which of the following represents the ratio of the given side to the
hypotenuse?
HELP if you’re good at GEOMETRY!!
3. Find the value of:
a) 9²
b) 15²
c) (0.2)²
d) (0.7)
Answer:
Step-by-step explanation:
9^2
=9*9
=81
15^2
=15*15
=225
(0.2)^2
=0.2 * 0.2
=0.04
(0.7)
=0.7
PLEASE HELP
Libby flips a quarter 2 times in a row.
What is the probability of the quarter landing on heads at least 1 time?
A. 1/4
B. 1/3
C. 3/4
D. 1/2
All of the benches in a park are red or blue. The ratio of red benches to blue benches in the park is 3 : 4. Based on this information, which of the following statements is true?
A. For every 4 benches in the park, 3 are red.
B. For every 7 benches in the park, 4 are red.
C. For every 3 red benches in the park, there are 4 blue benches.
D. For every 3 red benches in the park, there are 7 blue benches.
(I'll give brainly, likes, follow, etc for anybody who answers this question with some explanation.)
Answer:
The answer is C
Step-by-step explanation:
3 : 4
^ ^
II II
red blue
Five minivans and three trucks are traveling on a 3.0 mile circular track and complete a full lap in 98.0, 108.0, 113.0, 108.0, 102.0, 101.0, 85.0, and 95.0 seconds, respectively. Assuming all vehicles are traveling at constant speeds, what is the time-mean speed of the minivans
Answer:
The time-mean speed of the minivans is of 105.8 seconds.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
Five minivans, times of: 98.0, 108.0, 113.0, 108.0, 102.0, in seconds.
Thus, the mean is:
[tex]M = \frac{98 + 108 + 113 + 108 + 102}{5} = 105.8[/tex]
The time-mean speed of the minivans is of 105.8 seconds.
Find the equation of the least squares regression line. Show all calculations, and be sure to define any variables used.
Find the measurement of the numbered angles
Answer:
m<1 = 60
m<2 = 30
m<3 = 80
Step-by-step explanation:
1. Solve for angle (1)
The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;
(30) + (m<1) + (90) = 180
Simplify,
120 + m<1 = 180
Inverse operations,
m<1 = 60
2. Solve for angle (2)
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,
m<2 = 30
Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.
3. Solve for angle (3)
As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.
(m<2) + (70) + (m<3) = 180
Susbtitute,
30 + 70 + (m<3) = 180
Simplify,
100 + m<3 = 180
Invers eoperations,
m<3 = 80
Please help me!! i have no clue how to do this unit :(
Answer:
the area is 27
Step-by-step explanation:
Answer:
the base of this shape is 6
lets break it up into a rectangle and a triangle
the rectangle is 6(base) time 3(height)=18
the triangle is 6(base) times 3(height) divided by two = 9
18 plus 9 = 27
Standard form for -3x^+ x=13
Answer:
to put the equation into standard for we must multiply the terms on the right side of the equation. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
Step-by-step explanation:
y
=
(
x
−
13
)
(
x
−
12
)
becomes:
y
=
(
x
×
x
)
−
(
x
×
12
)
−
(
13
×
x
)
+
(
13
×
12
)
y
=
x
2
−
12
x
−
13
x
+
156
We can now combine like terms:
y
=
x
2
+
(
−
12
−
13
)
x
+
156
y
=
x
2
+
(
−
25
)
x
+
156
y
=
x
2
−
25
x
+
156
A rectangular field is covered by circular sprinklers as
shown in the diagram. What percentage of the field is not
being watered by the sprinklers?
Answer:
21%
Step-by-step explanation:
Area of one sprinkler
a = πr²
a = π10²
a = 314.159 ft²
8 sprinklers
a = 8 * 314.159
a = 2,513.272
---------------------
area of field
a = lw
a = 80 * 40
a = 3200
------------------------
area not watered
a = 3200 - 2,513.272
a = 686.728
------------------
percentage not watered
p = 686.728 / 3200 * 100%
p = 21.46025%
Rounded
21%
find the mesure of angle b
Answer:
It's C
Step-by-step explanation:
because there is a 90 degrees sigh behind it and those two angles need to add up to 90
Answer:
31
Step-by-step explanation:
b+59=90
b=90-59
b=31
hope it helps
a tv cost £800 plus VAT at 20% what is the total cost of the tv?
Answer:
Given:
Cost = £ 800
Tax = 20%
To find:
The total cost
Solution:
Total cost = Cost + Tax
Tax = 20 % of cost
20 / 100 * 800
Tax = £ 160
Hence,
Total cost = £ 800 + £ 160
Total cost = £ 960
EDCITE !!! HELP PLEASE !
Answer:
34
Step-by-step explanation:
The angles of a triangle add to 180
56+ F + 90 = 180 ( the box means 90 degrees)
Combine like terms
146+F = 180
Subtract 146 from each side
F = 180-146
F = 34
Anyone know this? Please help
What is the measure of each angle of a regular 24-gon? If necessary, round to the
nearest tenth.
Answer:
165°
Step-by-step explanation:
Find the interior angle measure by using the formula, ((n - 2) x 180°) / n
Plug in 24 as n:
((n - 2) x 180°) / n
((24 - 2) x 180°) / 24
(22 x 180°) / 24
3960 / 24
= 165
So, the measure of each angle is 165°
Answer:
163.6
Step-by-step explanation:
180•(22-2)=180•20 =3600
3600/22= 163.636363…
What is the equation of the line that passes through the point (1,7)and has a slope of -1
?
Answer:
y = -x + 8
Step-by-step explanation:
First, plug in the slope.
y = mx + b
y = -1x + b
y = -x + b
Then, plug in the point.
7 = -(1) + b
7 = -1 + b
8 = b
HELP I WILL GIVE BRAINLYEST PLSSS HELP
Answer:
The answer is 0.5
Answer:
rhe answer is r= .50
Step-by-step explanation:
125-75=50
Will mark brainlest help me
Answer:
a. {(1,3), (1,4) ,(2,3), (2,4) }
b. {(1,4), (1,5), (2,4), (2,5)}
Answer:
PxR={(1,4)(1,5)(2,4)(2,5)}
PxQ={(1,3)(1,4)(2,3)(2,4)}
Step-by-step explanation:
Each of the members of set P is multiplying by each member of set Q or R,
so, 1 in set P has to multiply by 3 and 4 in set Q or 4 and 5 in set R. (We do the same for 2)
When a member of a set multiplies with another, we put the two members of two sets we are multiplying in parentheses.
A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?
f(x) = 1500(1.15)x
f(x) = 1500(115)x
f(x) = 1500(2.15)x
f(x) = 1500(215)x
Answer:
C) f(x) = 1500(2.15)x
Step-by-step explanation:
Got it right on Edge :)
If 8 x - 4 = 6 - 3 x then x =
Answer:
x = 10/11
Step-by-step explanation:
Your welcome! :)
What is 30 rounded to the nearest whole number percent?
Answer:
Thirty rounded to the nearest whole number percent is 30% (%=percent)
Step-by-step explanation:
Well, you see that if you have 30 out of one hundred then that's when all you have to do is go with the same number and just add percent or % to the end.
Please Mark as Brainliest
Hope this Helps
This is just evidence
HELP ASAP!!!
(Question and answers pictured)
9514 1404 393
Answer:
(d) reflection about the x-axis, up 6 units
Step-by-step explanation:
The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.
The transformations are ...
reflection about the x-axis, up 6 units
Shawn thinks that helium prices next year might increase by 10%. He plans to buy 7 small balloons and x large balloons. He creates the following equation to find the total price for next year’s helium:P
Answer:
P = 7.7 C + 1.1 XC
Step-by-step explanation:
From the question, it is noted that the price of helium required to fill each of the balloons would increase by 10%. Let the current price of helium be C, so that;
10% of C = 0.1 C
The price of helium next year = C + 0.1 C
= 1.1 C
Cost of 7 small balloons = 1.1 C * 7
= 7.7 C
Cost of X large balloons = 1.1 C * X
= 1.1 XC
The total price, P for helium next year = 7.7 C + 1.1 XC
Thus, the equation to find the total price of helium that would fill the balloons next year is;
P = 7.7 C + 1.1 XC
NEED HELP ASAP!!
use the vertical line test to determine if the relation whose graph is provided is a function
(graph and answers pictured)
Answer:
Yes, this graph represents a function
Step-by-step explanation:
The function passes the vertical line test, which tests for if any input has more than one unique output by moving a vertical line from left to right. If the vertical line doesn't pass 2 or more points at a time, then the function is indeed a function.
Answer:
The graph does represent a function
Step-by-step explanation:
The function is at about 30y = x^3
