Answer:
The probability is [tex]P(|p-\^{p}| > 0.03) = 0.0040[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.07[/tex]
The mean of the sampling distribution is [tex]\mu_p = 0.07[/tex]
The sample size is n = 600
Generally the standard deviation is mathematically represented as
[tex]\sigma_p = \sqrt{\frac{p (1 -p)}{n} }[/tex]
=> [tex]\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }[/tex]
=> [tex]\sigma_p = 0.010416 [/tex]
Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as
[tex]P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(-0.03 \le p -\^{p} \le 0.03 )[/tex]
Now add p to both side of the inequality
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P( 0.07-0.03 \le \^{p} \le 0.03+ 0.07 )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(0.04 \le \^{p} \le 0.10 )[/tex]
Now converting the probabilities to their respective standardized score
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(\frac{0.04 - 0.07}{0.010416} \le Z \le \frac{0.10 -0.07}{0.010416} )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - P(-2.88 \le Z \le 2.88 )[/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 1 - [P(Z \le 2.88) - P(Z \le -2.88)][/tex]
From the z-table
[tex]P(Z \le 2.88) = 0.9980[/tex]
and
[tex]P(Z \le -2.88) = 0.0020[/tex]
So
[tex]P(|p-\^{p}| > 0.03) = 1 - [0.9980 - 0.0020][/tex]
=> [tex]P(|p-\^{p}| > 0.03) = 0.0040[/tex]
A small lizard 5/8 inch long.a larger lizard is 5 1/5 times as long.how long is the larger lizard??
Answer:
3.25 inches
Step-by-step explanation:
5/8 = .625
5 1/5 = 5.2
5.2 x .625 = 3.25, or 3 1/4 in
As the exponent on the base 10 increases, does
the standard notation number get larger or
smaller in value? Explain why.
Help Please
Answer:
Since the exponent on 10 is positive, I know they are looking for a LARGE number, so I'll need to move the decimal point to the right, in order to make the number LARGER. Since the exponent on 10 is "12", I'll need to move the decimal point twelve places over.
First, I'll move the decimal point twelve places over. I make little loops when I count off the places, to keep track:
3.6 _ _ _ _ _ _ _ _ _ _ _ .
Then I fill in the loops with zeroes:
3.600000000000.
In other words, the number is 3,600,000,000,000, or 3.6 trillion
Step-by-step explanation:
[tex]10^{x}[/tex]
Where:
10 = Base 10
x = Exponent
When the exponent on the base 10 increases, the standard notation number gets larger in value. This is because the exponent is directly proportional to the size of the standard notation of the number.For example:
[tex]10^{2} = 100[/tex]
[tex]10^{3} = 1000[/tex]
[tex]10^{8} = 100000000[/tex]
To learn more, visit the link below:
brainly.com/question/7280682
What is 1.425 as a fraction in simplest form?
Answer:
57/40 is the correct answer to this question
PLEASE HELP!!!! help me solve 4 and 5
Answer:
1 is 87 and 2 is 93
Step-by-step explanation:
idrk exactly how to explain it....but i'll try....
the 87 is part of a straight angle, so the one to the left of it, that angle is 93.
1 is diagnoly oppisite of the 87, so 1 is 87. 2 is diagnoly oppisite of the other part of the striaght angle(93), so its 93
Ernie went to see some friends in San Antonio 240 miles away. It took him 3 hours to get there. What was his average speed?
Answer:
Find out yourself buddy XD
Answer:
his average speed was 60 miles per hour
Step-by-step explanation:
their are three ways to get the answer
1. if you take the 0 away from 240 it becomes 24, and 24 divided by 3 = 6 add the the 0 back in and you get 60.
2. 240 divided by 3 = 60
3. Use a calculator
Christina is making a salad for a dinner party with 1.78 pounds of lettuce and 4.36 pounds of tomatoes.
How much more do the tomatoes weigh than the lettuce ?
A 2.58 pounds
B. 3.58 pounds
C. 4.18 pounds
D. 6.04 pounds
Answer:
A) 2.58 pounds
Step-by-step explanation:
To solve you would have to subtract the pounds of tomatoes from the pounds of lettuce. The equation would look like this,
4.36 - 1.78 = 2.58
Hope that helps and have a great day!
What does the word “change “ tell you to do in “keep change flip” for dividing fractions? A) change the sing to multiplication b) change the sing to addition c) change the first fraction d) change the second fraction
Answer:
A
Step-by-step explanation:
Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
Answer:
d change the second fraction
Step-by-step explanation:
i dont know how to explain it but yeah
If LN=6x-35 and MN=19 and LM=5x-9,find x.
Hello, I need help on these math questions:
Thank you very much!
Which statements about density curves are true? Check all that apply.
The mean of a density curve is indicated by X.
The mean of a density curve is indicated by u.
The standard deviation of a density curve is indicated by o.
The standard deviation of a density curve is indicated by Sx.
The density curve can be above and below the x-axis.
Answer:
The mean of a density curve is indicated by µ.
The standard deviation of a density curve is indicated by σ.
This is the answer Egde 2020
The statements which are true about density curves is the mean of a density curve is indicated by u and the standard deviation of a density curve is indicated by Sx.
What is a density curve?
The density curve is a way of representation of numerical distribution data in graphical manner, where the outcomes are continues. The density curve can not be below the x-axis or horizontal line of the graph.
In a density curve,
The mean of a density curve is indicated by μ (mu).The standard deviation of a density curve is indicated by Sx.The density curve can only be above x-axis and not below it.Thus, the statements which are true about density curves is the mean of a density curve is indicated by u and the standard deviation of a density curve is indicated by Sx.
Learn more about the density curve here;
https://brainly.com/question/25334760
#SPJ2
a counselor charges a client $110 for 4 hours of therapy. how much does the counselor earn per hour
is this reasoning inductive or deductive? explain why.
1. all pennies are copper. if your friend gives you a penny, you conclude that the penny is copper colored.
2. all even numbers are divisible by 2. 28 is even. therefore, 28 is divisible by 2.
please help me out with this and also include reasoning! thank you so much!
Answer:
No. 1 is inductive, cos the evidence is based on proberbility as not all pennies are silver color, since thier color could change over time (fade)
while
No 2 is deductive since all even numners are divisible by 2, there is a full assurance of the outcome.
Answer: The reasonings are deductive. They tried to do a trick question I think.
Step-by-step explanation: There both deductive because the first sentence has a key word which is Conclude. The word might not seem to matter until you look up what deductive means. Deductive and Inductive are different because one is specifics observation and then draw a conclusion and the other is specifics conclusion follows a general theory. And the key word in deductive is conclusion in the first sentence it says that you conclude. Deductive means a conclusion that follows a general theory. The deductive is following a general theory which means if the facts are right then the conclusion should be right. The deductive makes sense in the first because if the facts that all the pennies are copper is true then the penny your friend gave you should be copper. The second sentence same thing if the fact was right then any number that is even can be divisible by 2. So deductive makes sense in both sentences. Inductive makes sense it inside one on the sentences not both. Inductive makes sense inside the first because the person could have seen that the pennies were all made of copper. i think that it being deductive is a better choice that inductive and if you still are confused you can look up "difference between inductive and deductive reasoning" and go to images it should have a blue and pink picture of the definition of them. Sorry I wrote it so long you can just shortened it down for the answer.
A real number is positive, negative, or zero. True or false
Answer:
True
Step-by-step explanation:
.
Anwer is true yea it true
An observation deck extends 198 feet above a valley the Dexys 148 feet above the valley floor
Answer:
198+148=346
All you have to do is add them together
I’ll give the Brainliest to who answers these questions first.
Brock has $3084 in his checking account. He wrote checks for $350 for rent, $275 for auto repair, and $169 for a loan payment. Find the amount remaining in his account. Explain.
Linda’s pay check was for $2312. She spent $157 on rent, $322 on food, $478 on child care, $234 on transportation, and $290 on other things. She put the rest of her pay check in savings. How much did she put in savings? Explain.
Answer:
the amount remaining in brocks checking account is $2290. 3084 - 350 - 275 - 169 = 2290
Linda has $831 in her savings. 2312 - 157 - 322 - 478 - 234 - 290 = 831
Answer:
the amount remaining in Brocks account is 2,290
the amount remaining in Linda's is 353
Step-by-step explanation:
i found the amount by Subtracting
he sum of four consecutive odd numbers adds up to 272. What is the smallest of these four numbers?
help pls i wil give brainliest
y varies directly with x if y= 4 when x= -1 what is the value of x when y = 6
Answer:x=-(3/2)
Step-by-step explanation:
y=kx (y=4,x=-1)
4=k(-1)
k=-4
y=6 x=?
6=kx
We know k = -4
6=-4x
x=-(3/2)
Jessica has 7/8 of a pound of candy.She are 1/4 of it at the movies. How much does she have left over
A. 5/8
B. 4/8
C. 3/4
D. 1/2
Answer: A. 5/8
1/4 x 2 will equal 2/8. 7/8 - 2/8 = 5/8
✨Answer:✨
A. 5/8
Jessica has 5/8 pounds of candy left
✨Step-by-step explanation:✨
7/8 (how many pounds she used to have) - 1/4 (how much she ate at the movies) = ?
✨To make this easier let us turn 1/4 into 2/8 (both fractions are equivalent):✨
7/8 (How many pounds she used to have) - 2/8 ([Also 1/4] how much she ate at the movies) = 5/8 (how much she has left)
Check all the equations that apply to meet the Segment Addition Postulate in segment OC. OQ=4x+8, QC=2x+1 and OC=46
A. 4x-37=-2x
B. 4x+8-2x-1=46
C. 6x+9=46
D. 6x=55
E. 46+2x+1=4x+8
F. 6x=37
What is an equation that goes through (12, 5); m = -3
Please help
Answer:
Step-by-step explanation:
Use this formula:
y - y1 = m ( x - x1 )
We are told m = -3 and given the point (12 , 5) ---- > so x1 = 12 and y1= 5
Put these values into the formula above and you get:
y - y1 = m ( x - x1 )
y - 5 = -3 ( x - 12 )
y - 5 = -3x + 36
y = -3x + 36 + 5
y = -3x + 41
A restaurant serves sandwiches and salads. They sold 14 sandwiches and 14 salads for a total of $280 for lunch. In the evening, 42 sandwiches and 154 salads were sold for a total of $1400. How much does each sandwich cost?
Answer:
33.3
Step-by-step explanation:
1400 divided by 42
Answer:
$33.30
Step-by-step explanation:
1400 divided by 43 = 33.3
What is the slope in the line shown below.
Answer:
C
Step-by-step explanation:
M=y2-y1/x2-x1
1-3=(-2)
3-(-4)-7
M=(-2)/7
Hope this helps =3
Does anyone know how to solve this 5x(x+4)^2-2y^5 x=-3 and y=-2
Answer:
49
Step-by-step explanation:
A teacher takes 5 children on a field trip to a geological museum. As a souvenir, the group receives a bag of stones. When the teacher divides the stones evenly among the children, each child receives exactly 24. If 6 children had been present, how many stones would each child have received?
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
You do 24 times 5 to find out how many stones were in all. Which is 120. Then you take 120 and divide it by 6 students which is 20.
What is -6 x -4 ?
sorry i suck at math
Answer:
24
Step-by-step explanation:
Negative × negative = positive-6 × -4 = 24I hope this helps!
Answer:
+ 24Step-by-step explanation:
[tex] - 6 \times - 4[/tex]
6×4= 24
(-)×(-) = (+)
[tex] + 24 \: or \: 24[/tex]
Is 59 - - 2 positive or negative?
Answer:
Its positive becuse both signs get multiplied.
Step-by-step explanation:
PLease mark me brainliest
Solve the equation for x: 3x – 2c = 5
Answer:
3x-2c=5
3x=5-2c
x=5-2c
3
what is the answer ?
Answer:
b. 5i sqaure root 2
Step-by-step explanation:
first bring out the I then take out the five.
Nadine made 16 cups of punch for a class party. One serving is 1/2 cup. How many servings of punch did Nadine make
Answer:
16.5
Step-by-step explanation:
16+1/2