Answer:
0.0764 = 7.64% approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home.
Step-by-step explanation:
To solve this question, we use the normal approximation to the binomial distribution.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed 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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71.
This means that [tex]p = 0.71[/tex]
Sample of 100:
This means that [tex]n = 100[/tex]
Mean
[tex]\mu = E(X) = np = 100*0.71 = 71[/tex]
Standard deviation:
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.71*0.29} = 4.5376[/tex]
What represents the approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?
This is, using continuity correction, [tex]P(X \leq 65 - 0.5) = P(X \leq 64.5)[/tex], which is the pvalue of Z when X = 64.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.5 - 71}{4.5376}[/tex]
[tex]Z = -1.43[/tex]
[tex]Z = -1.43[/tex] has a pvalue of 0.0764
0.0764 = 7.64% approximate probability of obtaining a sample of 100 adults in which 65 or fewer own their home.
PLEASE HELP I WILL MARK BRAINLIST!!
Answer:
umm whats the question-
help you in what man?
there is no question
Quadratic equation x2+x+9=0
Answer:
2x+11
Step-by-step explanation:
because x+x=2x
2+9=11
Equation: 2x+11
Answer:
x= -1+- i√35/2(looks weird so I'll include an image)
Step-by-step explanation:
depends on what you wanted to do with this equation, but I'm going to assume you wanted to factor this.
(-b+- √b^2-4ac)/(2a)=
-1+- √1- 4(1)(9)/ 2=
-1+- √1- 36/ 2=
x= -1+- i√35/2
find the distance between (5, -2) and (7, -2)
Answer:
2
Step-by-step explanation:
[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
[tex] \sqrt{(7 - 5) {}^{2} + ( - 2 - ( - 2)) {}^{2} } [/tex]
[tex] \sqrt{4 + 0} [/tex]
[tex] \sqrt{4} [/tex]
[tex] = 2[/tex]
Please help I will give brainliest
-20t > -80
can you solve this and graph it
Given:
The inequality is:
[tex]-20t>-80[/tex]
To find:
The solution for the given inequality and graph of it.
Solution:
We have,
[tex]-20t>-80[/tex]
Divide both sides by -20 and change the sign of inequality because inequality is divided by a negative number.
[tex]\dfrac{-20t}{-20}<\dfrac{-80}{-20}[/tex]
[tex]t<4[/tex]
Therefore, the solution for the given inequality is [tex]t<4[/tex].
All the value less than 4 are in the solution set. It means all the values on the left side of 4 are in the solution set.
Since 4 is not included in the solution set, therefore there is an open circle at 4.
The graph for the given inequality is shown below:
A man who is 2m tall stands on horizontal ground 30m from a tree . The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the man eyes to the top of the tree
Answer:
33.97 m
Step-by-step explanation:
Given that,
The height of a man = 2 m
He stands on a horizontal ground 30m from a tree.
The angle of elevation of the top of the tree from his eyes is 28°.
We need to find the distance between the man eyes to the top of the tree. Let the height of the tree be h
Using trigonometry to find such that,
[tex]\tan28=\dfrac{h}{30}\\\\h=\tan28\times 30\\\\h=15.95[/tex]
Now let us consider that the distance between the man eyes to the top of the tree is x. Using Pythagoras theorem,
[tex]x^2=30^2+15.95^2\\\\x=33.97\ m[/tex]
So, the distance between the man eyes to the top of the tree is 33.97 m.
Please tell me how much it would be for 1
Answer: tall is 12 dollars
Step-by-step explanation:
Need Help. I will give brainliest.
Answer:
I think that by nothing these.triangles are similar so it is option d
Answer:
Step-by-step explanation:
If we look at the ratios of shortest to longest sides we see
34/110 does not equal 26/44
Since these ratios are not equal they are not similar triangles.
So the answer is D
what is 4 3/4-1/3 or 19/4 -1/3
Answer:
4 and 5/12
Step-by-step explanation:
The table shows the fraction of the box of eggs that she will use to make different breakfast items. The family will choose from these items in the table
Food Choices Fraction of Eggs used
Egg Salad
2.
Pancakes
Omelets
Scrambled Eggs
8
2.
3
7
12
1
4
Waffles
Which food combinations could Mrs. Solis make without needing a second box of eggs? Choose the THREE correct answers.
A
Pancakes and Waffles
B
Pancakes and Egg Salad
С
Omelets and Egg Salad
D
Waffles and Egg Salad
F
Scrambled Eggs and Omelets
Answer:
C
Step-by-step explanation:
If 1/3 gallon of paint will cover 1/9 of a wall, how much paint will be needed for the entire wall?
Answer:
3 gallons
Step-by-step explanation:
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your are planning a birthday Party at Chuck E Cheese for your little brother? your total budget for the party is $500
There is a fee of $302 to hold your party there and a $15 fee for each guest
How many guests,g ,can you invite to your little brother birthday party?
(The answer come greater than or equal to)
Answer:
13
Step-by-step explanation:
500 - 302=198
198 divided by 15 = 13. 2 round down to 13. 13 guests.
HELP I NEED HELP PLEASE HELP ME!
Answer:
On the y cordnate go up 14.5
Step-by-step explanation:
Suppose that we wish to estimate the mean
CPU service time of a job. A sample of 10 jobs
gives a mean of 10 sec and standard deviation
of 1.5 sec. Assume that the CPU service times
are normally distributed, find a 95% confidence
interval for the mean CPU service time.
Answer:
Step-by-step explanation:
to do lo so ko gogfr org reg grgrwe wffffqwf qw32767
what is the volume of the cylinder?
A:703.2ft3
B:50.2ft3
C:602.9ft3
D: 653.1ft3
what is the distance between ( -5, 3 ) and ( 3, 3 ) ?
Answer:
distance between these point is 8
Step-by-step explanation:
d=
[tex] \sqrt{( 3- - 5) ^{2} + (3 - 3)^{2}} [/tex]
Answer:
8 is the distance between them
FYI distance formula is the square root of (x2 -x1)^2 = (y2- y1)^2
Step-by-step explanation:
Find the volume of cylinder with height 9 cm and radius 4 cm
Answer: 144π
Step-by-step explanation: First. find the area of the bases. To do this, you must solve for the area of a circle with a radius of 4. Since the formula for finding the area of a circle is area=πr² squared, the area of the circles are 16π. Next, you must multiply the area of the base, 16π, by the height of the cylinder, 9. 16π times 9 is 144π, or about 452.4, if rounded to the nearest tenth, or 452.39, if rounded to the nearest hundredth.
A single die is rolled. Find the odds in favor of rolling a number greater than 1.
Answer:
5/6
Step-by-step explanation:
x > 1
x = 2,3,4,5,6
( quantity of 2,3,4,5,6)/(total)
5/6
Matt made the model below to help him solve his math problem. Write and expression that matches Matt’s Model.
Answer:
1/3 x 3/4
Step-by-step explanation:
he took 1/3 of 3/4 means that he did 1/3 x 3/4
Tell whether −5 is a solution of y+8>3
Step-by-step explanation:
y>3-8
y>-5
The solutions are in the interval ]-5,○○[
To the nearest degree, what is the mean (average) temperature of the data set below
23°, 17°, 26°, 5°, 33°, 11°
A. 19°
B. 20°
C. 26°
D. 28°
Answer:
A. 19°
Step-by-step explanation:
To find the average of something, you add every number in the sequence and then divide it by how many numbers there are.
23 + 17 + 26 + 5 + 33 + 11 = 115
115 / 6 = 19.16666666666667
Round it down and your answer will be 19°.
Select all the correct answers. Which expressions represent a difference of squares?
Answer:
25x2-36
1-16x2
Step-by-step explanation:
What type of graph would the following data create? (0,2) (1,3) (2,4) is this a Positive slope linear graph
Answer:
Yes it's a positive linear graph
Step-by-step explanation:
Answer:
yes dear it's a positive linear graph.
In a particular library, 18% of the books are children's books, 53% of the books are adult fiction, and the rest are adult nonfiction. You select 3 books at random; what is the probability That none of them are children's books?
Answer:
3321 / 12500
Step-by-step explanation:
P (not child, not child, not child) = 82/100 × 81/100 × 80/100
Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of time required for bodily absorption of brand A and brand B. Assume the absorption time is normally distributed. Twelve people were randomly selected and given an oral dosage of brand A. Another 12 were randomly selected and given an equal dosage of brand B. The length of time in minutes for the drugs to reach a specified level in the blood was recorded. The results follow: x s x n Brand A 20.1 8.7 12 Brand B 18.9 7.5 12 a) Is there sufficient evidence that these drugs differ in the speed at which they enter the blood stream?
An
Step-by-step explanation:
WILL GIVE BRAINLIST BLS HELP Find z. Just write the number. Answer should be a whole number.
Answer:
I think the anwser is 8
Step-by-step explanation:
Answer:
It will be 8
Step-by-step explanation:
because the triangle will be in a ratio of 1:[tex]\sqrt{3}[/tex]:2, here 1 corresponds to 4, so the sides will be 4, 4\sqrt{3} and 8!
I need help, please also help with the other
Answer:
Maybe 7.
Step-by-step explanation:
Okay, the answer could be difficult to find but if you look at the x-axis and also y-axis it would be very easy and not complicated.
WhAt is the average ?3 4 5 10
Can someone answer this
Answer:
y = 2x + b (the second answer choice)
Step-by-step explanation:
The slope-intercept form is y = mx + b (the m representing slope and the b representing y-intercept). Put the points in ratio form as a fraction and subtract the ratio with the smallest numbers from the ratio with the largest ratio (5/1 - 1/-1) to get 4/2. When simplified, it becomes 2/1, so the slope is 2. Using the slope found previously, subtract 1 from the x of (1, 5) and 2 from the y of (1, 5) to get the y-intercept. The resulting point is (0, 3), so the y-intercept is 3. Replace the m with the found slope (2) and b with the found y-intercept (3) to end up with y = 2x + 3.
Which is equivalent to (–9n + 12)?
-3(3n+4)
Step-by-step explanation:
answer from mathematics education book