Answer:
15.63
Step-by-step explanation:
172/11
15.636363...
A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
1) His plane speed equals ______ mph
2) The wind speed equals ______ mph
Answer:
1.) 120 mph
2.) 30 mph
Step-by-step explanation:
Given that a man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
Let the wind speed = w
and the plane speed = p
From the first sentence,
P - w = 180/ 2
P - w = 90 ....... ( 1 )
From the second statement,
P + w = 180/1.2
P+ w = 150 ...... ( 2 )
Solve equation 1 and 2 simultaneously
P + w = 150
P - w = 90
Add the two equations
2P = 240
P = 120 mph
Substitute p in equation 1
W = 150 - 120
W = 30
Therefore, the wind speed is 30 mph and the plane speed is 120 mph
Approximately 15% of Americans have a blood type of B. The local blood bank has 80 donors stop by on a given day (which can be considered a random sample from the population). What is the probability that between 15% and 20% of the donors on a given day have a blood type of B?
Answer: the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
Step-by-step explanation:
Given that;
Binomial Distribution
n = 80
p = 0.15
q = 1 - p = 0.85
Mean = μ = np = 80 X 0.15 = 12
SD = σ = √(npq) = √(80 x 0.15 x 0.85) = -3.1937
Now; Assumptions in normal distribution to binomial distribution
- The sample size = n = 80 > 30 . Large sample
- np = 80 × 0.15 = 12 > 10
- nq = 80 × 0.85 = 68 > 10
so
80 × 0.15 = 12
80 × 0.20 = 16
To find P(12 < X < 16):
Z = (16 - 12) / 3.1937
= 4 / 3.1937
= 1.2525
Table of Area Under Standard Normal Curve gives area = 0.3944
Therefore the probability that between 15% and 20% of the donors on a given day have a blood type of B is 0.3944
A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many cows does the farmer have?
Thanks in advance, I really appreciate it :)
Answer:
Step-by-step explanation:
lets note a= chickens
b=cows
a+b=46
also = chickens has 2 legs, cow=4 legs
2a+4b=156..........we divide this equation by 2 so we can work with smaller numbers
a+2b=78 or we cam write a=78-2b
lets replace in the first equation a+b=46
78-2b+b=46
-b=46-78
-b=-32 multiply by -1
b=32
so we have 32 cows with 128 legs
a+32=46
a=14 chickens with 28 legs
Fill in the blank to find the y-intercept of-x+2y=10
Enter an equation for the absolute vakre function whose graph is shown.
A painter uses 1.5 gallons of paint to cover 3/4 of a wall. At this rate, how many gallons of paint does it take to paint the entire wall?
Answer:
[tex]6[/tex]
Step-by-step explanation:
if
[tex] \frac{3}{4} = 1.5 \\ \\ \frac{4}{4} = \frac{4}{4} \times 1.5 \times \frac{4}{3} \\ \\ = 6[/tex]
The variabies y and z have a proportional relationstip, and y= 25 when x=60
What is the value of x when y= 30
X-25
X-36
X=50
X=72
What is the value of: | 18 |
a) 18
b) -18
c) -(-18)
Answer:
hey its a. the absolute value of any number is always positive.
Step-by-step explanation:
f(x) = -6x - 7. Find f(-4)
Answer:
24-7 is the answer for u
8(0.25n-2)+n=-0.5(8-4n)
I need this ASAP and please show work
Answer:
B= 168
G=56
Step-by-step explanation:
3x+x= 224
4x=224
x=56
3x56=168
Last month for work Mr. Wheelboogie traveled 5150 miles. This month that total increased to 7895 miles. What is the percent increase in Mr. Wheelboogie's mileage? Round to the nearest whole %
Answer:
53%
Step-by-step explanation:
use formula: (new value - original value) / original value and you will get .533 which rounds to 53%
Tricia has $37.25 in her account. Which shows the amount she will have left after she writes a check for $23.99?
A. $12.36
B. $12.74
C. $13.26
D. $13.74
The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.
⇒ initial amount - check amount
⇒ $37.25 - $23.99
Apply the subtraction operations, and we get
⇒ $13.26
Therefore, the amount she will have left after writing a check for $23.99 is $13.26.
Learn more about Subtraction operations here:
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Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined with 1.5 cups bell pepper? Write a proportion, then solve.
Answer:
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
Step-by-step explanation:
Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.
Let t be tomatoes and b be bell peppers
The proportion will be:
t:b
The ratio of tomatoes to bell pepper will be:
6:2
This ratio simplifies to 3:1
This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.
Now the bell peppers are 1.5 cups then the proportion will be:
[tex]t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5[/tex]
Hence,
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
How many solutions does the equation y=-7x+3 and y+7x=10 have
Answer:
Step-by-step explanation:
y=-7x+3
y+7x=3
y+7x=10
no solution.
Name the corresponding an
Answer:
what do you want to say?
The 5-gallon bucket of paint that Kenzie bought from the hardware store weighs 55 pounds. CJ is buying 1 gallon of paint.
How many pounds does 1 gallon of paint weigh?
Answer:
n
Step-by-step explanation:
Find the slope of a line that passes through points (-2,1) and
(3,-5)
Answer:
-1.2
Step-by-step explanation:
Answer:
-6/5=M
Step-by-step explanation:
5.
3x3 + 2y2 - xy for x = 2 and y = 3
Answer:
21
Step-by-step explanation:
What is the length of each leg
the triangle below?
A. 5.6
B. v32
C. 16
D. 4v2
E. 16v2
F. 1
The length of each leg of the given triangle is 16√2.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The length of the leg is calculated by using the angle property. Use sin angle to calculate each leg.
First leg,
Sin45 = P / H
1 / √2 = P / 32
P = 32 / √2
P = 16√2
Second leg,
Sin45 = P / H
1 / √2 = P / 32
P = 32 / √2
P = 16√2
Therefore, the length of each leg of the given triangle is 16√2.
To know more about triangles follow
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Which two expressions are equivalent to 30+45
Answer:
there aren't any options, but anything that's = to 75 will be equivalent to this expression
Step-by-step explanation:
What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°
ANWSER
JK=104°
KIJ=52
Answer:
JK=104°
KIJ=52
Step-by-step explanation:
The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and ∠KIJ = 52°
What is the measure of the angles?
We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.
Angle KJI = arc KI/ 2
Thus;
Angle KJI = 116°/2
Angle KJI = 58°
Now by angle sum property of a triangle, we get:
∠ K + ∠ I + ∠ J = 180°
70° + ∠I + 58° = 180°
∠I = 52°
By using intercept formula, we get arc KJ;
∠JIK = arc JK/ 2
2(∠ JIK) = arc JK
2(52°) = arc JK
arc JK = 104°
Read more about measure of angles at; https://brainly.com/question/14362353
Chaston began making regular deposits of a certain amount of money each month, m, starting November 1st. The function F(m) = 25 m + 200 models the amount of money in his account after he started saving money. Assuming Chaston made no purchases from the account after November 1st, which of the following is NOT true?
A) Chaston made monthly deposits of 25 dollars per month
B) 2 months after he started saving Chaston would have $250 in his account
C) After 25 months of saving Chaston had $200 in his account
D) Chaston initially had $200 in his account before he began making regular monthly deposits
Answer:
c because 200 is the initial amount. He would have more than 200.
The Amazon River, one of the
longest rivers in the world, is about 6,400 kilometers long. If 1 mile equals 1.6 kilometers, what is the length of the Amazon River in miles?
Answer:
4000 miles.
Step-by-step explanation:
Divide 6400 by 1.6 to get 4000
Answer:
If we know each miles are 1.6 km, we can do a rule of three to get the length of the river:
1 1.6
X 6400
Now, we know that = 4000 miles
You can also just divide 6400/ 1.6 as each 1.6 kilometers are one mile
please help me with this will give brainliest to best answer
Answer:
this may sound crazy but its A,B,C,D
Step-by-step explanation:
they not in the boundaries 0f 5 to 0 or -2 to 0
The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin.
A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, T 2. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6.
What is the probability of getting a number less than 3 and a tails?
StartFraction 1 over 12 EndFraction
StartFraction 1 over 6 EndFraction
One-fourth
One-third
Answer:
B: 1/6
Step-by-step explanation:
edg2020
Answer:
B
Step-by-step explanation:
on edge 2020-2021
I started off with 430 Euros in an account, and I get an interest rate of 0.6% each year. How many Euros will be in my account after 15 years?
Write the equation for the relationship 19
Answer:
Did you mess up the question? This doesn't make any sense. If you post a new question I can help! Otherwise uhhh x=9*2 ???
PLEASE PLEASE PLEASE HELP!!!!!!!!!
Answer:
there will be 1 person = the winner at round 10, and at round 9 there will be 5 it goes down by fifteen every time
Step-by-step explanation:
Can I Get brainiest
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Harrison Haulers Plant. Abel knows that absenteeism varies significantly between departments. For example, workers in the wood shop are absent more than those in the tuning department and the size of the departments ranges from 40 to 120 workers. He orders a random sample of 10 workers from each of the six departments. Abel's sample is a
Answer:
disproportionate stratified sample
Step-by-step explanation:
Based on the given information we can say that Abel's sample is a disproportionate stratified sample. This is the case mainly because the department worker population ranges from 40 to 120 workers. This changing population makes the 10 workers that were chosen for the sample not proportionate to the entire population. Therefore, under different population sizes workers have different chances of getting selected for the study which ultimately creates different results.
