Answer:
135 miles
Step-by-step explanation:
45 mph means if you steadily go 45 mph for an hour you will have traveled 45 miles. Therefore you multiply your speed by time (45*3) which gives you 135 miles.
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean, μ = 272 days and standard deviation, σ = 16 days. (a) What proportion of pregnancies lasts more than 300 days? (b) What proportion of pregnancies lasts between 260 and 284 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 252 days? (d) A "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies unusual?
Answer:
a) 0.04
b) 0.54674
c) 0.10565
d) It is not unusual to have preterm babies
Step-by-step explanation:
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean, μ = 272 days and standard deviation, σ = 16 days.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
(a) What proportion of pregnancies lasts more than 300 days?
z = 300 - 272/16
= 1.75
Probability/proportion value from Z-Table:
P(x<300) = 0.95994
P(x>300) = 1 - P(x<300) = 0.040059
Approximately = 0.04
(b) What proportion of pregnancies lasts between 260 and 284 days?
For x = 260 days
z = 260 - 272/16
= -0.75
Probability value from Z-Table:
P(x = 260) = 0.22663
For x = 284
z= 284 - 272/16
= 0.75
Probability value from Z-Table:
P(x = 284) = 0.77337
The proportion of pregnancies lasts between 260 and 284 days is
P(x= 284) - P(x = 260)
0.77337 - 0.22663
= 0.54674
(c) What is the probability that a randomly selected pregnancy lasts no more than 252 days?
No more than means less than or equal to, hence, we are to find
P ≤ 252 days
Hence,
z = 252 - 272/16
= -1.25
Probability value from Z-Table:
P(x ≤ 252) = 0.10565
(d) A "very preterm" baby is one whose gestation period is less than 236 days. Are very preterm babies unusual?
We find the probability of 236 days
For x = 236
z = 236 - 272/16
z = -2.25
Probability value from Z-Table:
P(x<236) = 0.012224
Converting to percentage = 1.2224%
Hence, it is not unusual to have preterm babies
I’ll give the Brainliest to who answers this question with a reasonable explanation.
If Jan can buy 12 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 18 copies at the same rate?
Thank you!
for each sequence find the first 4 terms and 10th term 2n squared
Answer:
35 your welcome have a day good
Step-by-step explanation:
What is the value of x in the equation x + 10 = 13? (4 points)
a.−3
b.3
c.13
d.23
Answer: B, x=3
Step-by-step explanation: isolate x so 13-10=3
A local bookstore tracked the type of payments people make at their store. Out of 100 people, 40 paid with cash, 55 paid with a credit card and 5 used a gift card. Based on this information, what is a reasonable prediction of the number of people paying with cash if they had 600 customers?
Answer:
Cash = 240, Credit = 330, Gift = 30
Step-by-step explanation:
We know from this the precentage of people using different payment methods
Cash = 40/100 = 40%
Credit card = 55/100 = 55%
Gift card = 5%
We can then find the number of people using each method regardless of total amount of people
Cash = 40% * 600 = 240
Credit = 55% * 600 = 330
Gift card = 5% * 600 = 30
Total = 240 + 30 + 330= 600
Answer:
240
Step-by-step explanation:
Set up a proportion. Out of 100 people, 40 people paid with cash. Out of 600 people, x people paid with cash.
[tex]\frac{40}{100} =\frac{x}{600}[/tex]
Cross multiply and solve for x.
[tex]24000 = 100x\\24000/100=100x/100\\240 =x\\x=240[/tex]
240 customers paid with cash.
Mary is buying hair clips online. The online store charges a fee for each hairclip and a shipping fee. On Monday, Mary placed an order for 8 hairclips, and her total came to $33.75. On Friday, she placed an order for 11 hair clips, and her order came to $44.25. Find the price of each hair clip and the price of shipping.
What is the missing angle? *
PLS I NEED HELP DUE IN 10 MINS
Answer:
80
Step-by-step explanation:
a triangle is 180 degrees in all 60+40 is 100 so by that you can tell its 80
Can someone please tell me if the following relations are functions please?
‘P' is the path of a point moving at the same distance from a fixed point ‘Q'. The fixed distance is ‘R' and the distance around the circle is ‘S'. What is P, Q, R, S?
Answer: P is arc; Q is the centre of the circle; R is the radius; S is the circumference
Step-by-step explanation: P is arc: it is a continuous part of the circumference (S) of the circle;
Q is the centre of the circle which is at any point in time R points away from P;
R is the radius: the line segment between any point of a circle and its centre, Q;
S is the circumference of the circle: the line that bounds a circle.
Please look at the photo and solve please I need help
Answer:
B
Step-by-step explanation:
The unit rate changes throughout the table.
if cost $25 per day to rent a tux plus a $50 cleaning fee. if samuel paid $200, how many days did he have the tux?
Answer:
6 days
Step-by-step explanation:
Answer:
he had the tux for 6 days because he paid the cleaning fee
Step-by-step explanation:
Tom rolls a fair dice and flips a fair coin.
What is the probability of obtaining a number bigger than 2 and a head?
Answer:
1/3 or 33.33333333%
Step-by-step explanation:
The chance of getting a head in the coin flip is 1/2 or 50%.
The chance of getting a number bigger than 2 (3,4,5,6) is 4/6 or 2/3 or 66.6666666666%. (There are a total of four possibilites in six.)
Hence, 50% * 2/3 = 33.333333333333%.
Hope this helped!
how to win a bey blade that stronger than you?
Answer: The fact that beyblades spin at different speeds, you may want to get one that is fast while staying in control. Some have more mass than others leading them to spin slower, but the fact that they weigh so much may cause the other one to richochet off of it. Therefore get a big but fast beyblade that is very stable.
Answer:1. Takara Tomy Beyblade Burst B-148 Heaven Pegasus.
Step-by-step explanation:
Plzzzz helpppp thank uuuuuuu
Answer:
ewanjehehehehejejejjejshs
please help meeeeeeeeee
Answer:
37.3% is the take off
Step-by-step explanation:
so an easy route is to subtract the price after the reduction
89.99-56.49= 33.5 that is 37.3 percent
because 62.78% of 89.99 is 56.486723 round i and you get 56.49 so this is a check your work
Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 200 baseball cards and collects 5 cards per week. After how many weeks will Ryan and Sarah have the same number of cards?
Answer:
i need help on this question too
Step-by-step explanation:
Answer:
I think X=10 but im not for sure.
Step-by-step explanation:
150 (X+10) = 200 (X+5)
150x+1500 200X+1000
-150X -150X
1500 50X+1000
-1000 -1000
500 50X
50 50
10=X
Help me, please !!!!
Factor this polynomial expression.
x2 - 25
O A. (x - 25)(x - 25)
O B. (x+ 5)(x - 5)
C. (x - 5)(x - 5)
O D. (x+25)(x - 25)
Answer:
(x+5)(x-5)
Step-by-step explanation:
x^2 - 25
This can be written as
x^2 - 5^2
We know that this is the difference of squares
a^2 - b^2 = ( a+b) ( a-b)
x^2 - 5^2 = (x+5)(x-5)
Answer:
B. (x + 5)(x - 5)
Step-by-step explanation:
Factor the following:
[tex] \longrightarrow [/tex] x² - 25
25 = 5²:
[tex] \longrightarrow [/tex] x² - 5²
Factor the difference of two squares.
a² - b² = (a + b)(a - b):
[tex] \longrightarrow [/tex] (x + 5)(x - 5)
Kiera is contacting the poll workers from the last election to see whether they are willing to work in the next election. During the last election, 42\%42%42, percent of the poll workers were under 606060 years old. Let WWW be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older. Assume that each poll worker's age is independent. Find the mean and standard deviation of WWW. Round your answers to one decimal place.
Answer:
Mean: 1.7 and standard deviation 1.1.
Step-by-step explanation:
42% Of the poll workers are less than 60 years old. In other words, 58% of the poll workers are 60 years old: 1-0.42 = 0.58. So W is a geometric variable where the first "success" is poll worker who is at least 60years old.
Mean: 1/0.58 = 1.7241 poll workers, about 1.7 poll workers.
Standard deviation: sqr(1-p)/p = sqr(1-0.58)/0.58 = 1.1174 poll workers, about 1.1 poll workers.
The required Mean and the standard deviation are given as 1.7 and 1.1 respectively.
Given that,
During the last election, 42%, percent of the poll workers were under 60 years old. Let W be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older.
The mean of the values is the ratio of the total sum of values to the number of values.
here,
42% of poll workers are under the age of 60. Also, 58% of poll workers are above the age of 60.
= 1 - 0.42 = 0.58.
So "W" is a geometric variable with the first success being a poll worker beyond the age of 60.
Mean = 1/0.58
= 1.7 poll workers.
Standard deviation = √[(1-0.58)/0.58]
= 1.1 poll workers.
Thus, the required Mean and the standard deviation are given as 1.7 and 1.1 respectively.
Learn more about mean here:
https://brainly.com/question/15397049
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Kelly read 13 chapters of a 25 chapter book. What percent of the book is completed?
Elliot borrows $900 to buy an appliance at a yearly simple interest rate. He takes 3 years to pay off the loan and interest. He pays $135 in interest. What is the interest rate?
the rental is 50 dollars and $15 per minute. If mia has $155, how many minutes can she rent the game set. Use an equation to find the answer
Answer:
Mia can rent the game set for 7 minutes
Step-by-step explanation:
(50)+(15×7)
Write the ratio as a fraction in simplest form 4 to 56
Answer:
1 / 14
Step-by-step explanation:
4 / 56 = 1 / 14
4 / 4 = 1
56 / 4 = 14
Simplify the expression by adding or subtracting the linear expressions. 9x - 20 - 8x + 2 *
-11x - 6
17x - 18
x -18
22x + 17
Answer:
9x - 20 - 8x + 2 * -11x - 6 +17x - 18 +x -18 +22x + 17
If you mean so, then this is the answer
19x-45
Find the slope of the line that goes through the points (5,11) and (13,9).
Answer:
-1/4
Step-by-step explanation:
using y2-y1/x2-x1, you can get 9-11/13-5, -2/8, which gives you a slope of m=-1/4
pls help!! A cylindrical vase has a diameter of 12 inches and a height of 12 inches. If the vase is filled 3/4 full of soil, how many cubic inches of soil are in the vase?
Answer:
Answer: the vase contains 1017.36 inches³ of soil.
Step-by-step explanation:
We would apply thee formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
h represents the height of the cylinder
r represents the radius of the cylinder.
π is a constant whose value is 3.14
From the information given
Diameter = 12 inches
Radius = diameter /2 = 12/2
Radius = 6 inches
Height = 12 inches
Therefore,
Volume of the cylindrical vase =
3.14 × 6² × 12 = 1356.48 inches³
If the vase is filled 3/4 full of soil, then the volume of soil in the vase is
3/4 × 1356.48 = 1017.36 inches³
PLEASE HELP
Which one do I choose of the three
Answer:
substract -5.8 from-2.6
Step-by-step explanation:
I hope this help you
I know how to multiply 1-12.
Answer:
Good
Step-by-step explanation:
What is your question?
Just type it in the comments
State the slope and y-intercept of the graph of y + 2x = 3.
Answer:
y-intercept=(0, 3) slope=-2
hope this help
Step-by-step explanation:
Answer: y intercept= 3 slope is -2
Step-by-step explanation: you subtract 2x from the left and right side and end up with y= -2x+3 if you substitute x for 0 then you get 3 for the y intercept.
In a recent survey, 230 or 46% of the sample, said they usually ate fast food when they went out to eat. How many people were surveyed?
Answer:
500.
Step- by-step explanation:
46% = 0.46 as a decimal fraction.
So it is 230 / 0.46
= 500.