the length of a road is 1000 miles. if 1 inch represents 100 miles, what is the length of the road on the map?
Answer: 10 miles
Step-by-step explanation:
Given
The length of the road is 1000 miles
Solve
The length of the map to real=1 : 100Let x be the length on the map1 : 100 = x : 1000 ⇔ Proportion Set Up
100x = 1000 ⇔ Cross Multiply
100x/100 = 1000/100 ⇔ Divide both sides by 100
x=10 ⇔ Simplify
Hope this helps!! :)
Please let me know if you have any questions
Solve for x. -4.5 = -0.5(x – 7.1)
Answer:
16.1
Step-by-step explanation:
Answer:
I believe the answer is x = 16.1
Step-by-step explanation:
If you have $2000 and you made an investment that cost $400 and it gives back 1000 how much
Answer:
you made 600 profit
Step-by-step explanation:
2000-400=1600
1600+1000=2600
2600-2000=600
Answer: 2600
Step-by-step explanation:
2000 - 400 = 1600 + 1000 = 2600
40x +16y = ( + )
plz help me
Answer:
Write in Slope-Intercept Form
Graph
Find the x and y Intercepts
Find the Slope
Find the Slope and y-intercept
Write in y=mx+b Form
Write in Standard Form
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
697.5 ft squared
Step-by-step explanation:
Divide into top two squares and rectangle on bottom so...
(10×7.5)+(8×7.5)×(12.5×45)=area
75+60+562.5=697.5 ft squared
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)
Answer:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
68% confidence level
So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
What is the p-value?The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.
In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.
[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]
where z has a p-value of 1-[tex]\alpha /2[/tex]
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
n = 100, [tex]\pi[/tex] = 20/100 = 0.2
So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]
z = 0.995
The lower limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]
The upper limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]
Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Learn more about p-value ;
https://brainly.com/question/15407907
Kailynn observed a SpaceX rocket on the launch pad in Cape Canaveral, Florida. The rocket is 230 feet tall, and Kailynn measures the angle of elevation between the base and the top of the rocket to be 5 degrees. How far is she from the base of the rocket?
A-2629feet
B-2639feet
C-20feet
D-231feet
And explain
Answer:
i think B
Step-by-step explanation:
A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours
Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.
Therefore, 6 Hours/900 becomes our quotient
Again, since the denominator is larger we invert it to 900 calls/6 Hours
To get a demand of 150 calls per hour.
We need to be able to handle 150 calls per hour.
So how Many Call Representatives are needed?
Again, our historical data tells us that each person can handle 10 calls an hour.
Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!
Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.
Question 2(3 - 3x) = -18
Answer:
x=4
Step-by-step explanation:
1. Rearrange terms
[tex]2(-3x+3)=-18[/tex]
2. Distribute
[tex]-6x+6=-18[/tex]
3. Subtract 6 from both sides of the equation
[tex]-6x+6-6=-18-6[/tex]
4. Simplify by subtracting the numbers
[tex]-6x + 6-6=-18-6[/tex]
[tex]-6x=-18-6[/tex]
[tex]-6x=-24[/tex]
5. Divide both sides of the equation by the same factor
[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]
6. Simplify
a) Simplify the fraction
[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]
[tex]x = \frac{-24}{-6}[/tex]
b) Divide the numbers
[tex]x=+4[/tex]
7. Remove the postive sign.
[tex]x=4[/tex]
Help me please I’m not smart -
The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answer:
The probability that their average salary;
standard error
= 10,000/sqrt(16)
=10,000/4
= 2500
(77,500 - 75000)/2500
2,500/2500
= 1
p (z > 1) = .1587
So, the probability that their average salary is more than $77,500 is 0.1587
Step-by-step explanation:
Please help me with this
−3+5+6g=11−3g
-Aster
Answer:
g=1
Step-by-step explanation:
6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer
Answer:
g=1
Step-by-step explanation:
solved and got the same answer
Which one is the greatest volume
Answer: The First Cylinder has more volume
Step-by-step explanation:
1. V = 471.24
2. V = 282.74
HELP TIMED IS THIS RIGHT?
Answer:16 is the answer of your question
hope it is helpful to you
which expression can be used to find the surface area of the following triangular prism. choose 1 answer.
Answer:
A is in fact correct.
Step-by-step explanation:
Someone please help! I dont understand
Answer:
i willl help on all three if u help on my chemistry problems
PLs help quick,Jonna has 5 yards of fabric.She needs 100 inches of fabric to make curtains.Does she have enough fabric to make curtains?
Answer:
Yes, she has 80 more inches
Why?
Because one yard is 36 inches and she has 5 yards and 5x36=180 and she has 100 inches and 180>100.
She has 80 more.
Hope it helps :)
WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
what is the total of 8 and 4 times y
Answer:
12y?
Step-by-step explanation:
I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y
i read the question wrong, nvm.
Help me with this question please!
Answer:
84 in²
Step-by-step explanation:
12+9=21
21x0.5=10.5
10.5x8=84
Marcus has 25 baseball cards. Each card is worth a different amount of money. The cards also represent players from different teams in the MLB.3 There are two types of data that we can collect - numerical and categorical. 1 What is an example of numerical data that Marcus can collect about his baseball cards?2 What is an example of categorical data that Marcus can collect about his baseball cards?
1. You can find what the cheapest and most expensive card is.
2. You could find what percent of the people on your cards are brunettes.
You could also find what the average strikes for a team.
You're welcome
Can somebody explain how I'm supposed to do this??
Answer:
C
Step-by-step explanation:
You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others
Answer:
its c
Step-by-step explanation:
:)
Helppp meeeee plssss I would me the world
Answer:
its 3 trust me
Step-by-step explanation:
Answer:I’m thinking it’s the first one but someone else might know for sure sorry
Step-by-step explanation:
everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?
Answer:
Jesse eats lunch at 11:45 a.m.
. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
please help me out on this..............
Answer:
Option #2: 32 ÷2
Step-by-step explanation:
Take Note: There are 2 cups in a pint.
Since we are converting cups TO pints.... the number should (logically) be smaller. That eliminates the last two options.
Referring back to our note, it is only sensible to eliminate the first option since there are only 2 cups per pint, NOT 4.
In the end, you should have gotten option 2 which is 32÷2.
Jim has 28 mangoes he gave Tom 8 how many does Jim has
Answer: 20 mangoes.
Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.
28 - 8 = 20
Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.
By definition of conditional probability,
P(A | B) = P(A and B) / P(B)
so
P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29
A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?
Answer:
$800 is the original price
Step-by-step explanation:
15% discount
if 85% = $680
100% =?
100/85 * $680
=$800
Answer:
800
Step-by-step explanation:
Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.
Answer: 2=.36, 3=.48, 4=.16
Step-by-step explanation:
If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.
We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.
Outcomes:. Probability:
SS. .60 x .60 = .36
SD. .60 x .40 = .24
DS. .40 x .60 = .24
DD. .40x .40 =.16
Total. 1.00
Lastly group the similar outcomes. SD+DS= .48
