Answer:
0.0013 = 0.13% probability that the sample mean will be more than 26.
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 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.
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.
The average age of men at the time of their first marriage is 24.8 years. Suppose the standard deviation is 2.8 years.
This means that [tex]\mu = 24.8, \sigma = 2.8[/tex]
Forty-nine married males are selected at random and asked the age at which they were first married.
This means that [tex]n = 49, s = \frac{2.8}{\sqrt{49}} = 0.4[/tex]
Find the probability that the sample mean will be more than 26.
This is 1 subtracted by the pvalue of Z when X = 26. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26 - 24.8}{0.4}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a pvalue of 0.9987
1 - 0.9987 = 0.0013
0.0013 = 0.13% probability that the sample mean will be more than 26.
Fine the slope of the line through (20, -8), (9, -8)
Answer: The slope is 0
An airplane descends 3.5 miles to an elevation of 5.25 miles. Find the elevation of the plane before its
descent.
Before its descent, the plane was at an elevation of
miles.
Answer: The initial elevation of the plane was 8.75 miles.
Step-by-step explanation:
Suppose that the initial elevation of the plane is E.
Then the plane descends 3.5 miles.
Then the new elevation of the plane will be:
E - 3.5 miles.
Now, we know that the new elevation of the plane is 5.25 miles, then:
E - 3.5 miles = 5.25 miles.
Now we need to solve this for E.
To solve this, we can add the same number to both sides of the equation, so we can add 3.5 miles to both sides to get:
(E - 3.5 miles) + 3.5 miles = 5.25 miles + 3.5 miles
E + (3.5 miles - 3.5 miles) = 5.25 miles + 3.5 miles
E = 8.75 miles.
The initial elevation of the plane was 8.75 miles.
Urgent solve this please
Answer:
39.12
Step-by-step explanation:
One of the properties of a rectangle is that every angle in it is congruent. This means that when a diagonal is drawn (a segment connecting opposite corners), a right triangle is formed. One can apply the Pythagorean theorem, this theorem states the following;
[tex]a^2 + b^2 = c^2[/tex],
Where (a) and (b) are the legs, or segments adjacent (next to) the right angle, and (c) is the hypotenuse (the side opposite the right angle).
The legs of the right triangle formed by the diagonal in a rectangle will be the sides of the rectangle. Using this knowledge, one can state the following,
[tex]a^2 = b^2 = c^2\\\\21^2 + 33^2 = c^2[/tex]
Simplify,
[tex]441 + 1089 = c^2\\\\1530 = c^2[/tex]
Inverse operations,
[tex]1530 = c^2\\\\39.1152=c[/tex]
. Express the ratios in its simplest form (a) 15:12 (b) 42:1
Find the value of "x" in the following 2:x :: 4:6
Answer:
See answers below
Step-by-step explanation:
Given the following ratios. We are to express them in their simplest forms
15:12
= 15/12
= (3*5)/(3*4)
= 3/3 * 5/4
= 5/4
b) 42:1
= 42/1
= 42
Given that 2:x :: 4:6
2/x = 4/6
Cross multiply
4x = 2*6
4x = 12
x = 12/4
x = 3
Hence the value of x is 3
Candice bought a pencil box, shown below, to take with her to school
What is the volume of the pencil box?
Answer:
50.75
Step-by-step explanation:
You Just have to multiply length - width - and height - and you're good to go!
Find the biggest even number from the
following numbers.
a. 825
b. 106
c. 610
d. 452
Help Please.
2x(3+x) = 9
How do I simplify this using the distributive principle.
Answer:
2x²+6x-9=0
Step-by-step explanation:
2x(3+x)=9
6x+2x²=9
2x²+6x-9=0
A bag of 3 books weighs 0.75 pounds how much will a bag of 10 books weigh
Answer:
$2.50
Step-by-step explanation:
if 3 books=0.75 lbs.
then...
1 book= 0.25
so...
0.25x10=...
10 books= $2.50
I really need help on this
Answer:
12 cm
Step-by-step explanation:
diameter=2×radius=2×6=12 cm
Answer:
6+6=12cm
Step-by-step explanation:
diameter=2r
diameter=2*6
diameter =12cm
On Monday, mark ran 1 1/3 miles to school and then 2 1/5 miles to his grandmother’s house after school. On Tuesday, he ran twice as much as the previous day. How far did mark run on Tuesday?
On Monday Mark ran for a distance of [tex]\frac{53}{15}[/tex] miles and on Tuesday he ran for a distance of [tex]\frac{106}{15}[/tex] miles.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that on Monday , Mark ran [tex]1\frac{1}{3}[/tex] miles to school and then [tex]2\frac{1}{5}[/tex] miles to his grandmother's house.
This meant the total distance he ran on Monday can be calculated by adding both the distances he travelled on the particular day i.e.,
= [tex]1\frac{1}{3}[/tex] miles + [tex]2\frac{1}{5}[/tex] miles
= [tex]\frac{4}{3}[/tex] miles + [tex]\frac{11}{5}[/tex] miles
Now , to add two fractions we need to equal denominator.
= [tex]\frac{20+33}{15}[/tex]
= [tex]\frac{53}{15}[/tex] miles
Now , on Tuesday he ran twice as much as Monday. So , the distance he ran on Tuesday is equal to :
= 2 × [tex]\frac{53}{15}[/tex] miles
= [tex]\frac{106}{15}[/tex] miles
Therefore , on Monday Mark ran for a distance of [tex]\frac{53}{15}[/tex] miles and on Tuesday he ran for a distance of [tex]\frac{106}{15}[/tex] miles.
Learn more about fractions here :
https://brainly.com/question/17220365
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Consider a triangle ABC like the one below. Suppose that B = 39°, C=114, and a = 59. (The figure is not drawn to scale.) Solve the triangle.
Answer:
A = 27, b = 81.7856, c = 118. 723
Step-by-step explanation:
I used the Law of Sine, so if sin isnt what you need for this problem, my answer isn't what you need.
What property is used?
Answer:
Distributive Property
Step-by-step explanation:
Since your distrubuting the 6 through the equation.
Answer:
i cant see your attach image
Plzz help with this one problem ASAP
Answer:
i dont know what the problem is
Step-by-step explanation:
What is the factored form of X^9+27 A (x^3-3)(x^6+3x^3+9) B(x^3+3)(x^6-3x^3+9) C(x-3)^3(x^6+3x^3+9) D(x+3)^3(x^6-3x^3+9)
Answer:
D
Step-by-step explanation:
Activity
Part A
Match the factors affecting cost to their definitions. Write the name of the factor next to its definition
Answer:
cost of materials - the value of all things needed to create the good or service
opportunity cost - the value of a product given up to produce or obtain another product
fixed cost - costs that are not affected by the level of production
sunk cost - past costs that cannot be recovered
marginal cost - change in total cost that arises when the quantity produced changes by one unit
Step-by-step explanation:
Answer:
cost of materials: the value of all things needed to create the good or service
opportunity cost: the value of a product given up to produce or obtain another product
fixed cost: costs that are not affected by the level of production
sunk cost: past costs that cannot be recovered
marginal cost: change in total cost that arises when the quantity produced changes by one unit
Two different ways to rewrite 3xy + 6yz using distributive property
Answer:
Step-by-step explanation:
Distributive property can be defined as :
a(b+c)= (a*b) + (a*c)
So, the given expression 3xy+6yz can be written as :
1st way :
= 3xy+6yz
2nd way :
= 3xy+6yz
what is the answer and how did you get it
Answer:
The second ball
Step-by-step explanation:
If you cared to do simple math the percent comes to ...
75%
64%
60%
50%
Choose the division equation that represents the fraction shown.
one fourteenth = ________
1 ÷ 14 = ________
14 ÷ 11 = ________
13 ÷ 14 = ________
14 ÷ 13 = ________
Answer:
the answer is a
Step-by-step explanation:
division equation is 1÷14
PlZ help I need help plz
Answer:
3( -8 + 1) = 3( -8) + 3(1)
Step-by-step explanation:
That is distributive property
Answer:
3(-8+1)=(3(-8)+(3(1)
Step-by-step explanation:
In this case, distributive property is when a number or you could call it integer, multiplies with another set of number inside parentheses ().
Your answer was wrong, because 6 x 7=42, and that's not equal to the other side of numbers.
The top one is addition, so that's a no.
The second one's not exactly in the form you want it to be for it to be the same as the left side.
The third one shows distributive property in two ways, which give you the same result, so that would be the correct answer.
Hope this helped!
If you understood, and my answer helped, please mark me brainliest.
The diameter of a round skating
rink is 15 m. Find the circumference
of the rink to the nearest meter.
Answer: 47 meters
Step-by-step explanation:
The equation for the diameter of a circle is [tex]C=d\pi[/tex], so we just multiply the diameter (15) by [tex]\pi[/tex]. [tex]15\pi[/tex], or roughly 47.1238898038. Rounded to the nearest meter, 47 meters. Also, happy pi day!
Given that f(x) = x2 – 13x + 40 and g(x) = x - 5, find f(x) = g(x) and
express the result in standard form.
Answer:
Step-by-step explanation:
f(x)=g(x)
x²-13x+40=x-5
x²-14x+45=0
All I need is number six and seven which ever answer is the most reasonable I’ll mark you as brainliest
Answer:
6. 141
7. 28
Step-by-step explanation:
Time to rewrite the expressions!
6. (8 + 45/9)² - 14(2)
First, we need to solve what's in the parentheses.
45/9 is 5. So 8 + 5 is 13. 13² - 14(2)
Now, the exponent. 13² = 169 (nice)
169 - 14(2) Multiply 14 and 2...
169 - 28 = 141
Now to rewrite 7.
12 + 36/2 - 3(1)²
Exponents first...
3² = 9 (the 1 isn't included 'cause 3 multiplied by 1 is still 3.)
12 + 36/2 - 12
Divide... 36/2 = 18
12 + 18 - 2
30 - 2
28
52 to the nearest 10
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
when a number is over 5, it goes up
when a number is under 5, it goes down
52 is under 55, so it goes back down to 50
g(x) = x-6
Domain of g: ?
k(x) = x
Domain of k: x > 0
Range of k: y > 0
Answer:
1. All real numbers
2. All real numbers
3.x>=0
4.y>=-6
Step-by-step explanation:
The domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a functions g(x) and k(x)
g(x) = x - 6
The domain of the function:
D: x ∈ (-∞, ∞) or
All real numbers.
k(x) = √x
The domain of the function k(x) is x ≥ 0
The range of the function k(x) is y ≥ 0
The sum of the functions:
= g(x) + k(x)
= x - 6 + √x
= x + √x - 6
The domain of the function is x ≥ 0
The range of the function is y ≥ -6
Thus, the domain of the sum of the functions is x ≥ 0 and the range of the function is y ≥ -6.
Learn more about the function here:
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How does 2(3m+6) compare to 5(2m+3)-4m when m is a postive intenger .
Answer:
5(2m+3)-4m is 3 less than 5(2m+3)-4m
Step-by-step explanation:
How does 5(2m+3)-4mcompare to 5(2m+3)-4m when m is a postive intenger .
Expand 2(3m+6) and 5(2m+3)-4m
For 2(3m+6)
= 2(3m)+2(6)
= 6m+12
For 5(2m+3)-4m
= 5(2m)+5(3)-4m
= 10m+15-4m
= 10m-4m+15
= 6m+15
Take their difference
6m+15 -(6m+12)
=6m-6m+15-12
= 3
Hence 5(2m+3)-4m is 3 less than 5(2m+3)-4m
What is the value of g(2)?
Answer:
i think its 2
D
according to me
Answer:
A
Step-by-step explanation:
use the second formula since x = 2
[tex] {2}^{3} - 9 \times {2}^{2} + 27(2) - 25 = 8 - 36 + 54 - 25 = 1[/tex]
Jack collected 18 ten dollar bills while selling tickets for a show. He gave 1 over 6 of the bills to the theater and kept the rest. How much money did he keep?
Answer:
150
Step-by-step explanation:
Collected bills: 18 * 10= 180
1/6 of 180 = 30
180-30=150
Answer:
15 ten dollar bills, 150 dollars
Step-by-step explanation:
1/6 of 18 is 3, so he gave 3 bills to the theater and kept the other 15 for himself
Question 1
Select all expressions that are equivalent to 64.
A. 2 to the power of 6
B.2 to the power of 8
C.4 to the power of 3
D. 8 to the power of 2
E. 16 to the power of 4
F. 32 to the power of 2
In this figure what is the value of v
please help me i really need help please help please
Answer:
3.605 ft is the answer.
Step-by-step explanation:
Applying Pythagoras theorem,
a^2 + b^2 = c^2
2^2 + 3^2 = c^2
4 + 9 = c^2
13 = c^2
3.605 = c
therefore, the answer is 3.605.
:)