Answer:
a) 8.74
b) 2.6607
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.
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]
According to a survey, about 19% of all Americans are without health insurance.
This means that [tex]p = 0.19[/tex]
Suppose that you select a random sample of 46 Americans.
This means that [tex]n = 46[/tex]
(a) Calculate the expected number of Americans without health insurance in the sample.
[tex]E(X) = np = 46*0.19 = 8.74[/tex]
(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]
As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft
costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write and
solve a linear equation to find the number of small rafts you can rent if you rent 12 large rafts.
Answer:
10 small rafts
Step-by-step explanation:
(1600- 1200) / 40 = 10
1600- 1200 = 400
400 / 40 = 10
12 large rafts costs $1200 so subtract that amount from you budget. If you do that you will have $400 left. So I divided $400 by the amount of money each small raft cost whitch was $40 per small raft so i got the quotient of 10.
Sorry if i worded that weirdly but you get the point.
P.s sorry if it isn't comlety correct but i did my best so... ya
Which expression is equivalent to −3 2/3
Answer:
The answer is -3 - 2/3
Step-by-step explanation:
Just subtract
can someone give me tips for flying on an airplane? ✈️
Answer:
chew gum for your ears
bring a pillow for you neck
download a movie
bring something to do with your hands
bring a jacket
use the restoroom before the flight
bring your own snacks
get a seat near the wings of the planes its the safest
make sure you put your name on your luggage
bring headphones
bring lots of fluids after getting through security
bring a breathable mask
Step-by-step explanation:
Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?
Answer: B or C sorry if its wrong
Step-by-step explanation: have a nice day
40 of the cats at the pet store are black, which is 25% of all cats. How many cats are there at the pet store
Answer:
There are 160 cats at the store.
Step-by-step explanation:
There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:
40 = 25%
40(4) = 25% (4)
160 = 100%
There are 160 cats at the store.
Answer:
160
Step-by-step explanation:
25%=1/4=0.25
=40×4
=160
21p+35q
please help me!
Answer:
Simplifying
21p + 35q = 0
Solving
21p + 35q = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-35q' to each side of the equation.
21p + 35q + -35q = 0 + -35q
Combine like terms: 35q + -35q = 0
21p + 0 = 0 + -35q
21p = 0 + -35q
Remove the zero:
21p = -35q
Divide each side by '21'.
p = -1.666666667q
Simplifying
p = -1.666666667q
What is the converse of the statement? if p then q
A If q, then p.
B If not p, then q.
C If not p, then not q.
D If not q, then not p.
A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to land face up when the die is rolled. On a fair die, the probability that the number 6 will land face up is 16. A group of students wanted to investigate a claim about manipulating a fair die so that it favors one outcome. The claim states that if a fair die is put into an oven and baked at 200°F for 10 minutes, the inside of the die will begin to melt. When the die cools, the inside will be solid again, but with more weight toward the bottom. This shift in weight will cause the face that was up when the die cooled to land up more often that the other faces.
The students obtained a fair die and baked it according to the preceding directions. The die cooled with the number 6 face up. After the die cooled, they rolled the die 200 times, and the number 6 landed face up 43 times. Let p represent the population proportion of times the number 6 will land face up on the baked die if the die could be rolled an infinite number of times.
(a) Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.
(b) Aurelia, another student, suggested they conduct a significance test to investigate the claim. She tested the hypotheses H0:p=16 versus Ha:p>16 at the significance level of α=0.05. She obtained a test statistic of 1.83 with a p-value of 0.033. Do the results of the significance test agree with the results of Clarke’s confidence interval in part (a)? Explain your reasoning.
(c) Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L. The formula for L is L=pˆ+z∗pˆ(1−pˆ)n−−−−−√.
(i) Determine the values of z∗ needed to create the one-sided 95 percent confidence interval. Then calculate the value of L.
(ii) Do the results of Joachim’s one-sided confidence interval agree with results of Aurelia’s significance test in part (b)? Explain your reasoning.
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
Simplify fully (2x-1)(2x+1)
Ali is cutting 3/8 in. Cookie dough slices from a 10 1/2 in. long roll how many does she get
Answer:
28 slices
Step-by-step explanation:
Take the length of the roll and divide by the size of the slice
10 1/2 ÷ 3/8
Change the mixed number to an improper fraction
(10*2 +1) /2 ÷ 3/8
21/2 ÷ 3/8
Copy dot flip
21/2 * 8/3
Rewriting
21/3 * 8/2
7 * 4
28
You will get 28 slices
Mr Edwards bought a 50 pound bag of flour for his bakery it was equally divided among six daysHow much flour was used per day
Answer:
8.3 lbs
Step-by-step explanation:
If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?
PLZZZZ ASAPPPP
Answer:
15 feet
Step-by-step explanation:
if the dog run is a rectangles then the formula for the perimeter is 2h+2l
if we plug in the numbers we know we get this:
2h+2(5)=40
2h+10=40
2h=30
h=15
30 POINTS AND BRAINLIEST!!!!!!!!!!!
Lizzy gets her paycheck every 10 days. Her husband, Don gets a paycheck every 14 days. On July 3, they both get a paycheck. How many days will pass before they both get a check on the same day
Answer:
It's been 70 days
Step-by-step explanation:
14 28 42 56 70
10 20 30 40 50 60 70
The first time they have a date in common is the 70th day.
a cylinder has a volume of 48cm³ and a height of 9 inches what is the radius
Answer:
0.82cm
Step-by-step explanation:
Answer:
r = 0.81 cm
Step-by-step explanation:
Volume of a cylinder = πxr²xh
Volume = 48cm³
Height = 9 inches = 22.86 cm
Radius = ?
Using the above formula:
V = πr²h
r² = V / (πh)
r² = 48 / (π(22.86))
r² = 48/71.81
r² = 0.67 cm
Taking square root on both sides
r = 0.81 cm Ans
(2) what is being cooked in a preserve cooker?
Answer:
Rice and other items are being cooked in pressure cookers
I hope it helps you
Please help!! Thank you no links please
Answer:
x=6.4031
Step-by-step explanation:
4^(2)+5^(2)=x^(2) use the pythagorean theorem
d i need help on this
Step-by-step explanation:
Yes, they are similar because if you convert both of the measurements to fractions, which will be 2/3 and 8/12, you can see that if you simplify 8/12, you will get 2/3. That is why they are similar.
Can someone help me? I’ll reward points + brainalist
Answer:
C
Step-by-step explanation:
radius squared * pi = 63.585
What is the diameter of C?
22 cm
3.25 cm
6.5 cm
13 cm
Answer:
13
Step-by-step explanation:
radius is half of the diameter so is the radius is 6.5cm then the diameter is 13 problem solved....
Answer:
13 cm
Step-by-step explanation:
Radius is half a circle & if
Radius times two that would equals diameter
6.5(2) = 13
How can you changee u fraction into a decimal
State whether the triangles can be proven congruent, if possible, by SSS or SAS
Answer:
AC=CE
<ACB=<ECD VERTICALLY opposite ANGLE
BC=CD
Step-by-step explanation:
TRAINgle is congruent by SAS axiom.
Please Help Timed Question. Picture provided below.
Answer:
17.67 mpg
Step-by-step explanation:
The fuel efficiency is given by :
[tex]\eta=1.437+0.541\times s[/tex]
We need to find the fuel efficiency for a speed of 30 mph
Put the value of s equals 30 mph in the above equation.
[tex]\eta=1.437+0.541\times 30\\\\\eta=17.67\ mpg[/tex]
So, the required fuel efficiency is equal to 17.67 mpg.
What is the value of x in the right triangle shown? 25 cm 7 cm
Answer:
x = 24
Step-by-step explanation:
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
-49 -49
b^2 = 576
square root them
b = 24, or x = 24
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer: 24
Step-by-step explanation:
A^2 + B^2 = C^2
For the total population of a large a southern city, mean family income is
$34,000, with a standard deviation (for the population) of $5,000. Imagine
that your are taking a subsample of 200 city residents. What is the Z score for
$37,000 ?
Answer:
The Z score for $37,000 is 8.49.
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 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.
Mean family income is $34,000, with a standard deviation (for the population) of $5,000.
This means that [tex]\mu = 34000, \sigma = 5000[/tex]
Subsample of 200 city residents.
This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]
What is the Z score for $37,000 ?
This is Z when X = 37000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{37000 - 34000}{353.55}[/tex]
[tex]Z = 8.49[/tex]
The Z score for $37,000 is 8.49.
a 5kg bag of peas cost $17.91 at the same rate what would a 9kg bag of peas cost
Answer:
17.91÷5=3.582
then
3.582×9=32.238
or 32.2 or just 32
Step-by-step explanation:
when you see something like this all you have to do is divide the two number then with that number just multiply.
please answer! will give brainliest
Answer:
5
Step-by-step explanation:
2+4+6+8 = 20
20 / 4 = 5
Which expression correctly represents 10 times the difference of a number and six
Answer:
10(6 - x) or 10(x - 6)
Step-by-step explanation:
Let the number be x.
Answer: 10(6 - x) or 10(x - 6)
2/3 times 21=
i need help again!!!
Answer:
14
Step-by-step explanation:
Anyone help please? Thanks!
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer
