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]
could someone please help me? thank you!
Answer:
B: Two rays
Step-by-step explanation:
with a common endpoint
Answer:
If there isn't a specific type of angle it is B.
Step-by-step explanation:
Hope this helps!! And just to be safe can you show more of the pic?
Lance is solving the equation 2(2x + 1) - (3x - 5) = 17. His steps are shown below: Step 1: 4x + 2 - (3x - 5) = 17 Step 2: 4x + 2 - 3x - 5 = 17 Step 3: x + 2 - 5 = 17 Step 4: x - 3 = 17 Did Lance make a mistake? If so, in which step did he make the mistake and what was his mistake?
Answer:
Lance made a mistake
His mistake was in step 2
Step-by-step explanation:
Yes, Lance made a mistake.
He made a mistake in step 2 of his solution.
The mistake he made was that he was supposed to open the bracket of -(3x-5) to give -3x + 5
The 5 is supposed to have a positive value and not a negative
Alonzo runs 6 miles in 50 minutes. at the same rate, how many miles would he run in 35 minutes?
Answer: 4.2 miles
Step-by-step explanation:
6 mi/50 minutes = 6/50 mi per minute
35 minutes * 6/50 = 4.2 miles
PLEASE HELP ME ASAP!!! I will name you Brainliest!
Answer:
I think its (x+1)+(x+3)+(x+5)=63
Step-by-step explanation:
you add all the ages together not multiply so that gets rid of D and it says odd numbers which will get rid of a and c
a recipe for fruit punch calls for 1/2 liter of lemonade and 1/10 liter of cranberry juice. What is the unit rate of lemonade to cranberry juice
Answer: 5
explanation - its a 5 to 1 ratio
Answer:
5
Step-by-step explanation:
can somebody help me with this problem!? i need help ahh
for these kinds of problems the outside angle always equals the opposite 2. meaning angle x=64+70 which is 134 degrees. you can double check this because all triangles equal 180 degrees. meaning that the last angle in the triangle is 46. 46+70+64=180.
so your answer is 134.
hope this helps :)
Answer:
134 Degrees.
Step-by-step explanation:
Lets figure out the third angle (y) in the triangle first.
70 + 64 + y = 180
134 + y = 180
y = 46
We now know that 46 is our third angle. Therefore, we can subtract 46 (y) from 180 (the total between x and the third angle) to get our final answer. 134 Degrees.
for each ordered pair, determine whether it is a solution to 7x+3y=2
the ordered pairs:
0, -8
-1, 3
2, -4
5, 2
Answer:
Step-by-step explanation: i thimk 5,2
HELLPPPPPP -9(x +3) =27
-9x + (?) =27 WILL GET BRAINLYIST
Answer:
-27
Step-by-step explanation:
Given expression:
-9(x + 3) = 27
Now use the open the bracket;
-9x - 27 = 27
Given -9x + (?) = 27
Comparing the two equations shows that the question mark corresponds to the value -27;
The solution is -27
A printing machine produces labels.Four percent of the labels produced are defective.Suppose 372 labels were defective.
how many labels are not defective?
Answer:
8928
Step-by-step explanation:
If 4% is 374, what is 1%? so 374/4
374 = 4%
93 = 1%
Now if 4% is defective, how many is not defective?
100% - 4% = 96%
If 1% is 93 then what is 100%?
8928 = 96%
There were 8,928 labels are not defective.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that labels are created using a printing press. Four percent of the labels that are created are inaccurate.
Let the total number of labels would be x
As per the question, 372 labels were defective.
So 4% of x = 372
⇒ 4x/100 = 372
⇒ x = 37,200/4
⇒ x = 9,300
Since 4% is defective labels,
So labels are not defective: 100% - 4% = 96%
Now, we have to calculate the evaluation of 96% of 9,300.
⇒ (96/100)9,300
⇒ (0.96)9,300
⇒ 8,928
Therefore, there were 8,928 labels are not defective.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
Community Gym charges a $40 membership fee and a $70 monthly fee. Workout Gym charges a $170
membership fee and a $60 monthly fee. After how many months will the total amount of money paid to
both gyms be the same? What will the amount be?
Answer:
13 months ; $950
Step-by-step explanation:
70x+40 = 60x+170
-40 -40
70x = 60x+130
70x = -60x
-60x = 130
10x = 130
10x/10 = 130/10
13 months
The area of a square is (16x^{2} +72x+81) square is centimeters what is the measuere of its side the area of a square is (side)^{2}
Answer:
Each side is (4x + 9) cm
Step-by-step explanation:
Area = (16x^{2} +72x+81)
Area = (4x+9)(4x+9)
Each side is (4x + 9) cm
SOMEONE PLEASE HELP I NEED THE SOLUTION TO ALL OF THESEE PLEASE HELP!!!!
Answer:
The answer is below
Step-by-step explanation:
Let's work it out slowly
A)
$18.79 + $2.11 - $1.92 + $17.28
- 18.79 + 2.11 + 17.28 = 38.18
- 38.18 - 1.92 = 36.26
Ans = $36.26
B)
$7.45 + $24.45 + $74.17 + $76.52
- 7.45 + 24.45 = 31.9
- 74.17 + 76.52 = 150.69
- 150.69 + 31.9 = 182.59
Ans = $182.59
C) $98.45 - $10.63 + $2.82 - $20.26
- 98.45 - 10.63 - 20.26 = 67.56
- 67.56 + 2.82 = 70.38
Ans = $70.38
Hope you understand
:-)
In order for it to be a function, the x values CAN repeat. TRUE OR FALSE PLS HELP ME
Answer:
false
Step-by-step explanation:
Answer:
it is false it wont let me post this till i put 20 caracters
Please HELP with these questions!! Legit answers only!
Answer:
answers below
Step-by-step explanation:
hi! you can plug in the x values given into the equation and solve for y to get your table values.
y=-1(0)+2
y=2
y=-1(1)+2
y=1
y=-1(3)+2
y=-1
y=-3/2 (-2) -1
y=2
y=-3/2 (0) -1
y=-1
y=-3/2 (2) -1
y=-4
hope this helps!
A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than the width. What are the dimensions of this box? Give your answer in the form l,w,h as comma separated values. For example if the box has a length of 1, a width of 2, and a height of 3, you would submit the answer 1,2,3.
Answer:
Length = 8 inches
Width = 4 inches
Height = 6 inches
Step-by-step explanation:
Volume of the box = 192 cubic inches
Volume of a box = length × width × height
Let
Width = x
Length = 2x
Height = x + 2
Volume of a box = length × width × height
192 = 2x * x * (x + 2)
192 = 2x^2 (x + 2)
192 = 2x^3 + 4x^2
Divide through by 2
96 = x^3 + 2x^2
Subtract 96 from both sides
x ^3 + 2x^2 - 96 = 0
Factorise
(x - 4) (x^2 + 6x + 24) = 0
x^2 + 6x + 24 has no real x-value
So,
Divide both sides by (x^2 + 6x + 24).
0 ÷ (x^2 + 6x + 24) = 0
So,
(x - 4) = 0
x = 4
Width = x = 4 inches
Length = 2x
= 2(4)
= 8 inches
Height = x + 2
= 4 + 2
= 6 inches
Check:
Volume of a box = length × width × height
= (8 * 4 * 6) inches
= 192 inches
Yall already know im stuck again will mark brainlyest
Answer:
1. 16
2. 1
3. 1
4. 4
5. 2
6. 8
7. 1
8. 9
9. 90
10. 10
Step-by-step explanation:
i will mark as brainliest
Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns.
Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below.
Tuesday
Thursday
Saturday
Hours worked
6
8
5
Amount paid
$52.50
$70.00
$43.75
Which statement best describes the hourly rates?
The two jobs pay the same hourly rate.
The comparison cannot be made with the information given.
Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.
Answer:
Jason's job pays a higher hourly rate than Mia's lifeguard job.
Step-by-step explanation:
It tells that Jason gets paid $9/hour
now divide each amount Mia makes by the number of hours each day and you get the same amount of $8.75/hour.
If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?
Answer:
y = x-9
Step-by-step explanation:
What value of n makes the equation true?
-2n + 1.8 = 3.2
Answer:
n = -0.7
Step-by-step explanation:
-2n + 1.8 = 3.2
-1.8 -1.8
-----------------------
-2n = 1.4
/-2 /-2
--------------
n = -0.7
y = 3x - 2
x - y = 4
Answer:
x=-1, y=-5
Step-by-step explanation:
y=3x-2 (1)
x-y=4 (2)
sub (1) into (2)
x-(3x-2)=4
x-3x+2=4
-2x=2
x=-1
sub x=-1 into (1)
y=3(-1)-2
=-3-2
y = -5
Therefore: x=-1, y=-5 :))
Answer:
x = -1, y = -5
Step-by-step explanation:
y = 3x - 2
x - y = 4
x - y = 4
x - (3x - 2) = 4
x - 3x + 2 = 4
-2x + 2 = 4
-2x = 2
x = -1
x - y = 4
-1 - y = 4
-y = 5
y = -5
Check:
x - y = 4
-1 - (-5) = 4
-1 + 5 = 4
4 = 4
A students wants to help her mother in their family store in displaying canned goods. Her mother instructed that the canned should be piled in triangular pile by starting 40 canned goods in the bottom row, 36 in the second row, 32 in the third row, and so on. If the pattern is consistent, how many canned goods will be there in the 7th row?
Answer: The number of canned goods in 7th row = 64.
Step-by-step explanation:
The given numbers of canned goods in every row( starting from first ) is represented as
40 , 36, 32, ...
There is a common difference between numbers(d)= 4
∴ Its is an Arithmetic progression.
First term (a) = 40
nth term in A.P. : [tex]a(n)= a+(n-1)d[/tex]
7th term in this A.P. = 40+(7-1)(4)=40+(6)(4)=40+24=64
So, the number of canned goods in 7th row = 64.
PLS HELP FAST if all three angles of a triangle are 60 degrees, what are the length of the side(s)?
Answer:
180
Step-by-step explanation:
the lengths are all 180 because 60 degrees times three sides is 180 so the length of one side is 180.
Which of the following graphs represent a function? 4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a circle. a. Graph A and Graph C b. Graph A c. Graph D d. Graph B and Graph D Please select the best answer from the choices provided A B C D
Answer:
graph A
Step-by-step explanation:
Answer:
Graph A and graph C
Step-by-step explanation:im a real one omm
3. Find the value of x:
HELP NOW PLEASEEE
Answer:
1000
Step-by-step explanation:
Can you help me solve for a?
Answer:
10
Step-by-step explanation:
We can look at the denominators(bottom numbers in a fraction), and find a relationship. 15 is 5 times 3, so let's multiply 2 by 5 to get z!
2(5)=10
f (x) =x^2 - 2x + 9
g (x) = -3x -14
F + 3!=0, g = (F^2 + 5 F + 20)/(9 (F + 3)), x = -14/(F + 3)
Step-by-step explanation:
-35+7k = -7+7(k-4)
is it IMS (Infinite solutions)
one solution
no solution?
Answer:
-35+7k=-7+7 (k-4)-42=-14 (k-4).This the simplest way to simply the work.Which choice best represents the height an airplane flies?
A)10 cm
B)10m
C)10mm
D)10km
Answer:
I think 10 km.
Please mark as brainliest.
Answer: 10 kilometers
10 kilometers is about 38,500 feet. This is the average altitude an average commercial plane should fly. The answer to this question is D, 10 kilometers.
Hope this helps!
help me please!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
HELP QUICK PLEASE!!! and please explain bc I'm confused.
∠A and ∠B are vertical angles.
If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Answer:
Step-by-step explanation:
8x+14=2x=50
6X+14=50
6X=36
X=6
2(6)+50
12+50
Angle B equals 62