About 9% of the population has a particular genetic mutation. 900 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 900.
Answer:
The standard deviation is of 8.586.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a genetic mutation, or they do not. The probability of a person having the mutation is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
About 9% of the population has a particular genetic mutation.
This means that [tex]p = 0.09[/tex]
900 people are randomly selected.
This means that [tex]n = 900[/tex]
Find the standard deviation for the number of people with the genetic mutation in such groups of 900.
[tex]\sqrt{V(X)} = \sqrt{900*0.09*0.91} = 8.586[/tex]
The standard deviation is of 8.586.
Calculate the perimeter
Answer:
sorry i cannot help you
Question 5 Multiple Choice Worth 1 points)
(01.03 MC)
Bunny Hill Ski Resort charges $35 for ski rental and $10 an hour to ski. Black Diamond Ski Resort charges $40 for ski rental and $5 an hour to ski. Create an equation to determine at what point
the cost of both ski slopes is the same.
Answer:
Bunny Hill Ski Resort:
y = 10x + 35
Diamond Ski Resort:
y = 5x + 40
Point where the cost is the same:
(1, 45)
Step-by-step explanation:
The question tells us that:
$35 and $40 are initial fees
$10 and $5 are hourly fees
This means that x and y will equal:
x = number of hours
y = total cost of ski rental after a number of hours
So we can form these 2 equations:
y = 10x + 35
y = 5x + 40
Now we are going to use System of Equations to find what point the cost of both ski slopes is the same.
Because they both equal y, we can set the equations equal to each other:
10x + 35 = 5x + 40
And we use basic algebra to solve for x:
10x + 35 = 5x + 40
(subtract 5x from both sides)
5x + 35 = 40
(subtract 35 from both sides)
5x = 5
(divide both sides by 5)
x = 1
Remember, x equals the number of hours.
That means when your rent out the skis for 1 hour, you will get the same price of $45 (you find the price by plugging in 1 into both of the equations)
Hope it helps (●'◡'●)
Chloe has a small dog and a large dog. Each day, the small dog eats 3/4 cup of dog food, and the large dog 2 1/2 cups of dog food. In one week, how much more dog food does the large dog eat than the small dog ?
A. 1 3/4 cups
B. 8 3/4 cups
C. 12 1/4 cups
D. 22 3/4 cups
Answer:
A
Step-by-step explanation:
small dog eats 3/4 cup each day
large dog eats 1 cup each day
~after 1 week (x7)~
small dog = 5.25 cups
large dog = 7 cups
(7-5.25=1.75)
= therefore 1 and 3/4 cups
why no one helping me please help please please please please please
Answer:
a) A
b) C and E
c) C, D and F
d) two
e) Equal
Please help! Variables!!
Answer:
-x^4, and (2√x)/x
Step-by-step explanation:
4. [tex]- \sqrt{ x^{8} } = - \sqrt{x^{4} *x^{4} } = -x^{4}[/tex]
x^8 = x*x*x*x*x*x*x*x = (x*x*x*x)(x*x*x*x) = (x^4)(x^4)
5.
[tex]\sqrt{\frac{4}{x} } = \frac{\sqrt{4} }{\sqrt{x} } = \frac{2}{\sqrt{x} } \\\\\\\frac{2}{\sqrt{x} } * \frac{\sqrt{x} }{\sqrt{x} } = \frac{2\sqrt{x} }{x}[/tex]
Which is a stretch of an exponential decay function?
f(x) =4/5(5/4)
f(x) = 4/5(4/5)
f(x) =5/4(4/5)
fx) = 5/4(5/4)
Answer:
f(x) = 4/5(5/4)Step-by-step explanation:
correct me if I am wrong
A 17 feet ladder is placed against a building. The bottom of the ladder is 15 feet away from the building. How many feet high is the top of the ladder?
7 feet
12 feet
8 feet
15 feet
Answer:
[tex]8 \ feet[/tex]
Step-by-step explanation:
In this situation, one is given the following information. A ladder is leaning against a wall and has a measure of (17) feet. The bottom of the ladder is (15) feet away from the wall. One can infer that the wall forms a right angle with the ground. Thus, the triangle formed between the ground, ladder, and wall is a right triangle. Therefore, one can use the Pythagorean theorem. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle of the right triangle. The parameter (c) represents the hypotenuse or the side opposite the right angle. In this case, the legs are the ground and wall, and the hypotenuse is the ladder. Substitute this into the formula a solve for the height of the wall.
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex](ground)^2+(wall)^2=(ladder)^2\\\\(15)^2+(wall)^2=(17)^2\\[/tex]
Simplify,
[tex](15)^2+(wall)^2=(17)^2\\\\225+(wall)^2=289[/tex]
Inverse operations,
[tex]225+(wall)^2=289\\\\(wall)^2=64\\\\wall=8[/tex]
Can someone please help me, with part B
Step-by-step explanation:
let y = x+5/4
Interchanging x and y , we get ;
x = y+5/4
or, 4x = y+5
or, 4x-5 = y
or, g(x) -1 = 4x-5
Answer:
In verse of B.g(x)=[tex]\frac{x+5}{4}[/tex] is:
4x-5
Answer:
Solution given:
B.g(x)=[tex]\frac{x+5}{4}[/tex]
let
g(x)=y
y=[tex]\frac{x+5}{4}[/tex]
Interchanging role of x and y
we get:
x=[tex]\frac{y+5}{4}[/tex]
doing crisscrossed multiplication
4x=y+5
y=4x-5
So
g-¹(x)=4x-5
Identify the quantities that are equivalent to 250 meters.
Ratio Conversion Table
kilometer (km) : meter (m) 1 : 1,000
meter (m) : centimeter (cm) 1 : 100
centimeter (cm) : millimeter (mm) 1 : 10
Answer:
1. Convert all measurements to meters:
2.5km * 1,000 = 2,500m;.250km * 1,000 = 250m; 2,500cm / 100 = 25m
25,000cm / 100 = 250m; 250mm / 1,000 =.25m
2.) Compare the converted measurements. Therefore, the quantities that are equivalent to 250m are:
.250km; 25,000cm
Step-by-step explanation:
rotation 90° clockwise about the origin
Answer:
Take the picture you uploaded.
Click the rotate 'button' once.
Change the x to y and y to x on the graph. (axis labels)
Done
J (0, -1)
K(-4,-3)
I ( -4,-1)
A bottle maker believes that 23% of his bottles are defective.If the bottle maker is accurate, what is the probability that the proportion of defective bottles in a sample of 602 bottles would differ from the population proportion by less than 4%? Round your answer to four decimal places.
Answer:
The appropriate answer is "0.9803".
Step-by-step explanation:
According to the question,
The probability of sample proportion differs from population proportion by les than 4% will be:
= [tex]P(-\frac{0.04}{\sqrt{\frac{0.23\times 0.77}{602} } }<z<\frac{0.04}{\sqrt{\frac{0.23\times 0.77}{602} } } )[/tex]
= [tex]P(-\frac{0.04}{\sqrt{\frac{0.1771}{602} } }<z<\frac{0.04}{\sqrt{\frac{0.1771}{602} } } )[/tex]
= [tex]P(-2.33<z<2.33)[/tex]
= [tex]0.9803[/tex]
Mary Katherine has a bag of 3 red apples , 5 yellow apples and 4 green apples , Mary takes a red apples out of the bag and does not replace it. What is the probability that the next apple she takes out is yellow
Answer:
5/11.... you put the 5 which is yellow over the others which is 12 but remember she removed 1 so it would be equal to 11
Answer:
ok so if she takes a red apple out that means
2 red
5 yellow
4 green
11 in total
so 5/11
The answer is D
Hope This Helps!!!
True or false: If you are changing a larger unit into a smaller unit, like cm into mm, the decimal is moved to the right because you are multiplying by a power of ten
Answer:true
Step-by-step explanation:
i dont know
You are hanging a picture on a wall that is 56 1/4 inches long. If the picture frame is 18 2/3 inches long, how much wall space is left? Write your answer as a mixed number.
Answer:
[tex]37 \frac{7}{12}[/tex] inches.
Step-by-step explanation:
Let's start by converting all of these mixed numbers to improper fractions to handle them a little better.
56 × 4 = 224 ⇒ 224 + 1 = [tex]\frac{225}{4}[/tex]
18 × 3 = 54 ⇒ 54 + 2 = [tex]\frac{56}{3}[/tex]
So, we have our improper fractions. Now, we need to convert each to twelfths so we can subtract.
225 × 3 = 675
56 × 4 = 224
[tex]\frac{675}{12} - \frac{224}{12}[/tex] = [tex]\frac{451}{12}[/tex]
[tex]\frac{451}{12} = 37 \frac{7}{12}[/tex]
So, the answer is [tex]37 \frac{7}{12}[/tex] inches.
How to find the surface area of a this cuboid
Answer:
40
Step-by-step explanation:
There are 6 sides. Four sides have 8 squares, 4 * 2, and the other 2 sides have 4, 2 * 2. 8 * 4 = 32, 4 * 2 = 8, 32 + 8 = 40
Unit sales for new product ABC have varied in the first seven months of this year as follows:
Month Jan Feb Mar Apr May Jun Jul
Unit Sales 314 285 158 482 284 310 281
What is the (population) Pearson's coefficient of skewness of the data?
Unit sales for new product ABC have varied in the first seven months of this year as follows:
Month Jan Feb Mar Apr May Jun Jul
Unit Sales 314 285 158 482 284 310 281
What is the (population) standard deviation of the data?
Answer:
Coefficient of skewness = 0.5785
Population standard deviation = 88.154
Step-by-step explanation:
Given the data:
Month Jan Feb Mar Apr May Jun Jul
Unit Sales 314 285 158 482 284 310 281
Reordered data : 158, 281, 284, 285, 310, 314, 482
The population mean of the data :
Mean, μ = Σx / n = 2114 / 7 = 302
The median :
1/2(n+1)th term
n = 7
1/2(8)th term
Median = 4th term = 285
The population standard deviation, s :
s = √(Σ(x - μ)²/n)
s = √[(158-302)^2 + (281-302)^2 + (284-302)^2 + (285-302)^2 + (310-302)^2 + (314-302)^2 + (482-302)^2] / 7
s= √(54398 / 7)
s = √7771.1428
s = 88.154
The Pearson Coefficient of skewness :
[3(μ - median)] / s
3(302 - 285) / 88.154
3(17) / 88.154
51 / 88.154
= 0.5785
Is x-3 a factor of x- 9x² - 14x + 24?
9514 1404 393
Answer:
no
Step-by-step explanation:
We assume you are concerned with the cubic
x³ -9x² -14x +24
Its factors are all irrational, as shown in the attached graph. x-3 is not a factor.
__
x-3 is a factor if the expression evaluates to zero when x=3. Here, it does not.
((x -9)x -14)x +24 for x=3 is ...
((3 -9)(3) -14)(3) +24 = (-18 -14)(3) +24 = -96 +24 = -72
The remainder from division by x-3 is not zero, so x-3 is not a factor.
Henry bought a coat with a regular price of $75 and used a coupon for o off. Janna bought a
coat with a regular price of $82 and did not use a coupon. How much more did Janna's coat cost
than Henry's coat?
A. $7.00
B. $15.50
C. $22.50
D. $29.50
Answer:
A. $7.00
Step-by-step explanation:
$82-$75=$7.00
A survey of high schools within a district revealed that for ninth graders, 38% offer no honors classes, 12% offer one
honors class, 25% offer two honors classes, 20% offer three honors classes, and 5% offer four honors classes. A
high school is selected at random. What is the probability that it offers an even number of honors classes?
0.30
O 0.32
O 0.62
O 0.68
Answer:
0.30
Step-by-step explanation:
Find the probability by adding the probabilities together for having two and four honors classes.
25% offer two honors classes and 5% offer four honors classes. Add these together:
25 + 5
= 30
So, there is a 30% probability that the school offers an even number of honors classes.
The correct answer is 0.30.
If x=3 y=5 h=9 wat is xy+h
Answer:
24
Step-by-step explanation:
3x5=15
15+9=24
can someone tell me if why these triangles are similar
Answer:
Step-by-step explanation:
If the triangles given in the picture are similar,
ΔVUT ~ ΔVLM
By the property of similarity of two triangles, their corresponding sides will be proportional.
[tex]\frac{TV}{VM}= \frac{VL}{VU}[/tex]
[tex]\frac{49}{14}=\frac{28}{8}[/tex]
[tex]\frac{7}{2}=\frac{7}{2}[/tex]
True.
Therefore, ΔVUT and ΔVLM will be similar.
Find a degree 3 polynomial with real coefficients having zeros 1
and 2−2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=
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Answer:
P(x) = x³ -5x² +12x -8
Step-by-step explanation:
If the coefficients are real, then the complex roots must be conjugates. The third root is 2+2i. For root r, (x -r) is a factor, so the factorization is ...
P(x) = (x -1)(x -2 +2i)(x -2 -2i) = (x -1)((x -2)² +4) = (x -1)(x^2 -4x +8)
Expanding further, we find ...
P(x) = x³ -5x² +12x -8
three friends, akira,bruno and carmela pooled thier money to start a lemonade stand. akria contributes $25, bruno contributed $20 and carmela contributed $35. after a month, thier lemoneade stand had earned 2000, and they want to distribute this money in the same ratio as the money that was invested. how many dollars will brouno recieve
plz explian
9514 1404 393
Answer:
$500
Step-by-step explanation:
Bruno's fraction of the total contribution was ...
Bruno / Total = $20/($25 +20 +35) = 20/80 = 1/4
Then Bruno's share of the earnings is this same fraction, so is ...
(1/4) × ($2000) = $500
PLEASE HELLPP!!! Choose the best graph that represents the linear equation:
-x = 2y + 1
Graph A
On a coordinate plane, a line goes through (negative 1, 0) and (1, negative 1).
Graph B
On a coordinate plane, a line goes through (negative 3, negative 1) and (1, 1).
Graph C
On a coordinate plane, a line goes through (1, 0) and (5, negative 2).
Graph D
On a coordinate plane, a line goes through (negative 3, negative 2) and (1, 0).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation: just C-
Answer: Its not c
Step-by-step explanation: It is A
F(x)=-x^2-4 for x= -3
Answer:
5Step-by-step explanation:
Given:
f(x)=-x²-4Substitute x= -3:
f(-3) = (-3)² - 4 = 9 - 4 = 5Plz help I’ll mark u
Answer:
SAS=side angle side
there is two side and one angle
Answer:
SAS theorem
explanation:
A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 11.5.
Answer:
we conclude that population mean is not 11.5
Step-by-step explanation:
The hypothesis :
H0 : μ = 11.5
H1 : μ ≠ 11.5
The test statistic :
(xbar - μ) ÷ (s/√(n))
Test statistic = (12 - 11.5) ÷ (2/√(16))
Test statistic = (0.5) ÷ (2 ÷ 4)
Test statistic = 0.5 / 0.5
Test statistic = 1
The Pvalue from test statistic value, df = n - 1 = 16 - 1 = 15
Pvalue = 0.333
Pvalue > α ; we fail to reject the null ; Hence, we conclude that population mean is not 11.5
A sample of 100 is drawn from a population with a proportion equal to 0.50. Determine the probability of observing between 43 and 64 successes.
Answer:
The probability of observing between 43 and 64 successes=0.93132
Step-by-step explanation:
We are given that
n=100
p=0.50
We have to find the probability of observing between 43 and 64 successes.
Let X be the random variable which represent the success of population.
It follows binomial distribution .
Therefore,
Mean,[tex]\mu=np=100\times 0.50=50[/tex]
Standard deviation , [tex]\sigma=\sqrt{np(1-p)}[/tex]
[tex]\sigma=\sqrt{100\times 0.50(1-0.50)][/tex]
[tex]\sigma=5[/tex]
Now,
[tex]P(43\leq x\leq 64)=P(42.5\leq x\leq 64.5)[/tex]
[tex]P(42.5\leq x\leq 64.5)=P(\frac{42.5-50}{5}\leq Z\leq \frac{64.5-50}{5})[/tex]
[tex]=P(-1.5\leq Z\leq 2.9)[/tex]
[tex]P(42.5\leq x\leq 64.5)=P(Z\leq 2.9)-P(Z\leq- 1.5)[/tex]
[tex]P(42.5\leq x\leq 64.5)=0.99813-0.06681[/tex]
[tex]P(43\leq x\leq 64)=0.93132[/tex]
Hence, the probability of observing between 43 and 64 successes=0.93132
Help pls with answer!!!Rewrite the function in the given form.
Answer:
[tex]g(x) = \frac{-2}{x-1}+5\\\\[/tex]
The graph is shown below.
=========================================================
Explanation:
Notice that if we multiplied the denominator (x-1) by 5, then we get 5(x-1) = 5x-5.
This is close to 5x-7, except we're off by 2 units.
In other words,
5x-7 = (5x-5)-2
since -7 = -5-2
Based on that, we can then say,
[tex]g(x) = \frac{5x-7}{x-1}\\\\g(x) = \frac{5x-5-2}{x-1}\\\\g(x) = \frac{(5x-5)-2}{x-1}\\\\g(x) = \frac{5(x-1)-2}{x-1}\\\\g(x) = \frac{5(x-1)}{x-1}+\frac{-2}{x-1}\\\\g(x) = 5+\frac{-2}{x-1}\\\\g(x) = \frac{-2}{x-1}+5[/tex]
This answer can be reached through alternative methods of polynomial long division or synthetic division (two related yet slightly different methods).
-------------------------
Compare the equation [tex]g(x) = \frac{-2}{x-1}+5\\\\[/tex] to the form [tex]g(x) = \frac{a}{x-h}+k\\\\[/tex]
We can see that
a = -2h = 1k = 5The vertical asymptote is x = 1, which is directly from the h = 1 value. If we tried plugging x = 1 into g(x), then we'll get a division by zero error. So this is why the vertical asymptote is located here.
The horizontal asymptote is y = 5, which is directly tied to the k = 5 value. As x gets infinitely large, then y = g(x) slowly approaches y = 5. We never actually arrive to this exact y value. Try plugging in g(x) = 5 and solving for x. You'll find that no solution for x exists.
The point (h,k) is the intersection of the horizontal and vertical asymptote. It's effectively the "center" of the hyperbola, so to speak.
The graph is shown below. Some points of interest on the hyperbola are
(-1,6)(0,7) .... y intercept(1.4, 0) .... x intercept(2, 3)(3, 4)Another thing to notice is that this function is always increasing. This means as we move from left to right, the function curve goes uphill.
