Answer: 98
Step-by-step explanation:
Formula to find sample size if population standard deviation is known:
[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]\sigma=[/tex]population standard deviation, [tex]z^c[/tex] =Critical z-value for confidence level, E= Margin of error.
Given: [tex]\sigma=30,\ \ \ E=10[/tex]
Critical z-value for 90% confidence = 1.645
[tex]n=(\dfrac{1.645\times60}{10})^2\\\\=(1.645\times6)^2\\\\=9.87^2\\\\=97.4169\approx98[/tex]
Required minimum sample size = 98
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no
Answer:
Step-by-step explanation:
Given function is h(t) = -16t² + 1500
a). For h(t) = 1000 feet,
1000 = -16t² + 1500
1000 - 1500 = -16t² + 1500 - 1500
-500 = -16t²
t² = [tex]\frac{500}{16}[/tex]
t = [tex]\sqrt{31.25}[/tex]
t = 5.59 sec
b). For h(t) = 940 feet,
940 = -16t² + 1500
940 - 1500 = -16t² + 1500 - 1500
-16t² = -560
t² = [tex]\frac{-560}{-16}[/tex]
t = [tex]\sqrt{35}[/tex]
t = 5.92 sec
c). For domain and range of the function,
When the jumper comes down to the ground,
h = 0
0 =-16t² + 1500
t² = [tex]\frac{1500}{16}[/tex]
t = [tex]\sqrt{93.75}[/tex]
t = 9.68 sec
Since, x-values on the graph vary from x = 0 to x = 9.68,
Domain : [0, 9.68]
Vertex of the quadratic function: (0, 1500)
Since, coefficient of the highest degree term is negative, parabola will open downwards.
Therefore, y-values of the function will vary in the interval y = 0 to y = 1500
Range: [0, 1500]
OK THIS IS MAH 3rd QUESTION CAN SOMEONE PLS HELP MEH?
I REALLY NEED HELP PLS!
:3
Answer:
The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.
Step-by-step explanation:
Now that i wrote this passage you have to figure out which one it is
Solve the quadratic equation.
3x^2-12=16x
Answer:
I think the answer is
x = 6, -2/3
Step-by-step explanation:
I hope this helps please let me know if it is incorrect
A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 4 1/6 inches?
Answer:
3 weeks and 4 days.
Step-by-step explanation:
If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6
3 3/6 + (1/6 x 4) = 4 1/6
3 weeks and 4 days
I NEED HELP WITH THIS MATH PROBLEM!!
Answer:
x equal 20 Step-by-step explanation:
H equal 58 I equal 71 J equal 51 we will just simply the equation you wrote
the ratio 60 miles per hour is an example of a ______because it has two measurements having different units of measure
Answers:
1.Annex
2.Rate
3.Unit rate
4.Least common multiple
Answer:
3. Unit Rate
Step-by-step explanation:
The answer is Unit Rate because it is describing two units of measurements compared to one another.
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. How many miles can he drive.
Answer:
Alex can drive for 100 miles.
Step-by-step explanation:
First, you do 30 - 18, which is 12. Divide 12 by 0.12 to get your answer, which is 100 miles.
Hope this answer helped!
Answer:
Alex can drive for 100 miles
Step-by-step explanation:
if u make 120.45 in 15 2/3 hours how long did u work if u made 40.15 ?
Answer:
about 5.22hrs
Step-by-step explanation:
cross multiply
120.45 ?
15.67 40.15
120.45*40.15
=629.1505
629.1505/15.67
=5.2233333...
the term to term rule of a sequence is divide by 2
Estimate 9146 x 174 by first rounding each number so that it has only 1 nonzero digit.
Answer:
1,800,000
Step-by-step explanation:
9146 * 174
Estimate: 9000 * 200 = 1,800,000
The table below shows the total number of hours Jessica,Emily,and Trina each studied after a given number of weeks
Answer:
See attached
Step-by-step explanation:
Refer to attached
Only column 3 - Trina's numbers represents proportional relationship
Equation for it is:
y = 2.5xCalculation is provided on the table
Help?!
I dont understand this Help?!
please help!! find the reciprocal of these numbers.
6.2
-2.3
0.9
-22.7
Answer:
They have its own reciprocal
1. 8x^2 + 10x - 9
2. 3x^4 - 14x^2 - 9
3. 4x^2 + 5x - 9
4. 8x^2 + 10x - 18
Answer:
4.
Step-by-step explanation:
(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)
x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x
Rearranging order:
3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9
Combine like terms
8x^2 + 10x - 18
DUE IN A HOUR!!!!!!!!!!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
y=1/4x+7/4
Step-by-step explanation:
pls pls pls help i am terrible at math.
where do the points go?
Answer:
I presume that 10x would be on the x axis to the right of 0.
-7y would be on the y axis under 0. Therefore in between -6 and -8
You might know this but very important
X to the decks (horizontally/straight across) and Y to the sky (vertically/ up and down)
If f(1) = 6 and f(n) = f(n-1) + 2 then find the value of f(4).
Answer:
5
Step-by-step explanation:
f(4-1)+2
=3+2
=5
PLS GIVE BRAINLIEST
^DEF and ^RSQ are shown in the diagram below
Based on the information provided in the diagram, what is mZQ in degrees?
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
NEED HELP ASAP!! (PIC ATTACHED)
The auto parts department of an automotive dealership sends out a mean of 3.2 special orders daily. What is the probability that, for any day, the number of special orders sent out will be more than 3?
Answer:
0.603
Step-by-step explanation:
Given that mean = 3.2
Probability that special order sent out will be no more than 3
Using poisson :
P(x) = (e^λ * λ^x) / x!
λ= 3.2
P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)
P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622
P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390
P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024
P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159
Hence ;
0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195
= 0.603
At a certain bakery, the price of each doughnut is $1.50. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of D are 2.6 doughnuts and 3.6 (doughnuts)2 , respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P ? 1.5(3.6) 1.5(3.6) A 1.53.6−−−√ 1.53.6 B 1.5(3.6)−−−−−−√ 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6−−−√ 1.52.6 E
Answer: C ( square root of 1.5 x 3.6)
Step-by-step explanation:
The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.
The standard deviation expression of the distribution P is √(1.50 × 3.6)
Given the Parameters :
Expected value = 2.6Variance = 3.6 Price per doughnut = $1.50The price for the variance of the distribution can be written as :
Price per doughnut × Variance Variance = $1.50 × 3.6The standard deviation of the distribution D is related to the variance by the formular :
Standard deviation = √variance Standard deviation = √(1.50 × 3.6)Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)
Learn more :https://brainly.com/question/18153040
Given g (x) = -x + 3, find g(1)
Answer:
2
Step-by-step explanation:
g (x) = -x + 3
g(1) = -(1) + 3
= 2
Hope this helped! If so, plz mark brainliest.
Fill in the blank to accurately describe the length of the missing side x
Answer:
8<x<12
Step-by-step explanation:
this is an equilateral triangle, which means 2 sides have the same length. seeing that there is a 12mm on the bottom and a 8mm on the side, that would make x be 8mm as well. so that would make this statement -
8<x<12
hope this helps :)
The tank for a car holds 20 gallons of gas. The gasoline gauge shows the tank is 1/8 full. How much gas is still in the tank?
Answer:
3/4 of a tank =3/4(13) gal
=39/4 almost 10 gal
Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she
received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
O 100
112
оооо
125
132
Mark this and return
Save and Exit
Next
Submit
Answer:
125
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
Write (6*100) + (4*10) in standard form
12.009 write in word form
Which of the expressions are equivalent to the one below? Check all that
apply.
16. (1 + 3)
A. (16. 1) + (3.16)
B. (3 + 1). 16
D C. (16 + 3). 1
D. (161) + (163)
so A & B = 64 .... so yeah right A & B are the correct answers
by the way i multiplied for the "."
Si cada 5 minutos me pagan 10 puntos cuanto tiempo me tomara llegar a 250.000 puntos
If every 5 minutes they pay me 10 points, how long will it take me to reach 250,000 points
Help Pls/ Ayuda porfa
Step-by-step explanation:
Free point yes idufjeiduejsjdidjd
Answer:
by my calculations the answer is 250 weeks.
Please mark me brainliest
Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?
Answer:
d. J
Step-by-step explanation:
Given that Raul gets 5 (y) book points for every 125 (x) pages he reads during summer challenge, we can say that his unit rate would be: y/x = 5/125 = 1/25.
Raul's unit rate is 1/25 book point to each page he reads.
Graph J also has a unit rate of 1/25 (y/x).
Therefore graph J models a relationship with the same unit rate.