Answer:
When two or more sperate ratios have the same value.
help me
make X the subject of the formula
3(c - bx) = 18
make X the subject
Answer:
X is equal to c-9 over b as required
Answer:
[tex]c =\frac{18 + 3 b x}{3}[/tex]
Step-by-step explanation:
3 ( c - b x ) = 18
Solve the brackets.
3c - 3 b x = 18
Take -3 b x to the right side.
3c = 18 + 3 b x
Divide both sides by 3.
[tex]c =\frac{18 + 3 b x}{3}[/tex]
please dont show this
Vito Corleone has planned a grand outdoor summer wedding for his daughter in New York City. In the past couple of years, it has rained only 25 days out of the 92 days of summer. Unfortunately for Vito, the local meteorologist has predicted that it will rain on the day of the wedding. On a typical summer day: given it rains, the meteorologist predicted that it will rain correctly) 80% of the time On the other hand, given it did not rain, the meteorologist predicted it will rain (incorrectly 20% of the time.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?
Answer:
a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.
b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
80% of 25/92(prediction of rain, and rained).
20% of 67/92(prediction of rain, did not rain). So
[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]
0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?
Conditional Probability, in which:
Event A: prediction of rain
Event B: rain
0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]
Rain and prediction of rain:
80% of 25/92. So
[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]
0.5989 = 59.89% probability that it actually rains on the day of the wedding
Fred and Ted are interested in the average height of NC State students. They randomly sample students from NC State and construct confidence intervals from their data. Fred sampled 121 students to construct his confidence interval. Ted sampled 144 students to construct his confidence interval; both create histograms for their data which have symmetric, unimodal, and roughly bell-shaped distributions. Which of the following is true about the margins of error for these experiments?
a. Fred's margin of error is larger than Ted's.
b. Ted's margin of error is larger than Fred's.
c. Fred and Ted have the same size margins of error.
d. We are unable to determine which margin of error is larger without knowing more about Fred and Ted's samples.
Answer:
a. Fred's margin of error is larger than Ted's.
Step-by-step explanation:
Margin of error of a confidence interval:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level(the higher the confidence level the larger the value of z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
From this, we have that:
A higher confidence level leads to a larger margin of error.
A larger sample size leads to a smaller margin of error.
In this question:
Same confidence level.
Fred's sample is smaller, so his margin of error will be larger.
The correct answer is given by option a.
For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
Fred and Ted are interested in the average height of NC State students.
They randomly sample students from NC State and construct confidence intervals from their data.
Fred sampled 121 students to construct his confidence interval.
Ted sampled 144 students to construct his confidence interval.
The margin of error of a confidence interval
[tex]\rm M =z \dfrac{\sigma }{\sqrt{n}}[/tex]
Where z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation level and n is a sample size.
By the formula, we have
A higher confidence level leads to a larger margin of error.
A larger sample size leads to a small margin of error.
For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
please help
85-v=213
solve for v
Step-by-step explanation:
subtract the whole equation by 85 on both sides to get v by itself on the left side
85-85-v=213-85
-v=128
Now we divide the whole equation by negative 1
-1v/-1=128/-1
v=-128
Hope that helps :)
I WILL GIVE BRAINERLEST AND LIKE AND 5 STARS
For what number of days d will the
total charges for an overdue library
book be $2.40?
Answer:
You seem to have not posted the whole problem
You did not seem to say the problem
But mabye 30
Find the lengths of the missing side. Round your answer to the nearest tenth
Answer:
11.2 cm
Step-by-step explanation:
The missing side = the hypotenuse
Apply pythagorean theorem to find he hypotenuse which is given as:
c² = a² + b³
a = 10 cm
b = 5 cm
c = Hypotenuse (missing side)
(Hypotenuse)² = 10² + 5² = 125
Hypotenuse = √125
Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)
I need help on my home work
Answer:
24/9
Step-by-step explanation:
one face is 4/9 is that's what 2/3² is
then multiply that by the number of faces a cube has (6)
and you get 24/9
Graph comparison:
In the image (at the end, below) you can find the function [tex]f (x) = 3^{x}[/tex] and [tex]g(x) = log_{3} x[/tex]
a) Which curve represents the graph of the function f (x)? And g (x)?
b) What is the relationship between f (x) and g (x)?
9514 1404 393
Answer:
a) left curve: f(x); right curve: g(x)
b) the functions are inverses of each other
Step-by-step explanation:
(a) An exponential function with a base greater than 1 has increasing slope. A log function has decreasing slope. The exponential function is on the left.
__
(b) The base of the exponential is the same as the base of the logarithm, so these functions are inverses of each other. This can be seen in the fact that each is a reflection of the other in the line y=x.
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be on a $66 meal?
Answer:
5.61
Step-by-step explanation:
66/22 = 3
3×1.87 = 5.61
siny dy/dx= cosy(1-xcosy)
pls i need it fast
Answer:
sec y = x+1 + ce x ; c is constant
Hope it helps....
The ratio of cows to chickens on Tweedy's Farm is 2:7. Which farms have a greater ratio of cows to chickens than Tweedy's Farm? Select all that apply.
a Steller Stover's Farm 3 cows for 5 chickens
b Awesome Ansel's Farm 1 cow for every 5 chickens
c Happy Hall's Farm 1 cow for every 3 chicken
d Jumping Jack Jones Farm 3 cows for every 8 chickens
The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.
An employee at a home improvement store is
Answer:
Large: 17,125
Small: 78,100
Step-by-step explanation:
Expected rate of return and risk - B.J. Gautney enterprises is evaluating a security. One year treasury bills are currently paying 4.3 %. Calculate the investment's expected return and its standard deviation. Should Gautney invest in this security?
Probability/ return: 0.20/ -4%; 0.50/ 4%; 0.10/ 7%; 0.20/ 8%.
The investment's expected return is _% (round the two decimal places)
The investment's standard deviation is % (round the two decimal places)
Should Gautney invest in this security? (select the best choice below)
a) yes. B.J. Gautney Enterprices should invest in this investment because the return is lower than treasury bill and the level of risk higher than the treasury bill.
B) no. B.J. Gautney Enterprises should not invest in this investment because the return is lower than the treasury bill and the level of risk higher than the treasury bill.
Answer:
Step-by-step explanation:
[tex]\text{Investment's Expected Return} = (0.20 \times -0.04) + (0.50 \times 0.04) + (0.10 \times 0.07) + (0.20 \times 0.08) \\ \\ = (-0.008)+(0.02)+(0.007) + (0.016) \\ \\ \text{= 0.035}\\ \\ = 3.50\%}[/tex]
[tex]Var (r) = [(-0.04- 0.035)^2 * 0.2] + [(0.04 - 0.035)^2 * 0.5] + [(0.07 - 0.035)^2 * -0.10] + [(0.08 - 0.035)^2 * 0.20] \\ \\ = (-5*10^{-6} )+(1.25*10^{-5})+(-1.225*10^{-4}) + (4.05 \times 10^{-4}) \\ \\= 0.001665[/tex]
[tex]SD= \sqrt{Var} = \sqrt{0.001665}= 0.0408 \\ \\ =\mathbf{0.04 \ to \ 2 \ d.p}[/tex]
[tex]\text{B) no. B.J. Gautney Enterprises should not invest in this investment because the} \\ \\ \text{return is lower than the treasury bill and the level of risk higher than the treasury bill.}[/tex]
27
Here are the first four terms of an arithmetic sequence.
- 6 -2 2
(a) Find an expression, in terms of n, for the nth term of this sequence.
(b) Find the 10th term of this sequence.
(2 part question; enter answers for (a) and (b) in the answer box below) *
(3 Points)
Answer: (assuming the first three terms are -6, -2, 2)
(a) f(n) = 4n - 10
(b) 30
Step-by-step explanation:
(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)
(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:
2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4
Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:
-6 - 4 = -10.
At this point, you can write the equation:
f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)
f(n) = 4n - 10 (reorganize by value of exponents)
(b) In order to find the 10th term, you just need to plug it into the previous equation:
where n = 10, and f(n) = 4n - 10,
f(n) = 4(10) - 10 (substitute n into the equation)
f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)
f(n) = 30 (subtract)
At arman's Co. pretzels are move from ovens to packaging in a line of 25. Every fifth pretzels is tested fir weight. Every third pretzel is tested for size, how many of the 25 pretzels are not checked or tested?
Answer:
Step-by-step explanation:
5 times 25 3 times 25 add both anwsers
13 out of 25 pretzels are not checked or tested.
Let the 25 pretzels be:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.
Every fifth pretzels is tested for weight.
Collect all the multiples of 5 till 25.
So, pretzels that are tested for weight are: 5, 10, 15, 20, 25.
Every third pretzel is tested for size
Collect all the multiples of 3 till 25.
So, pretzels that are tested for size are: 3, 6, 9, 12, 15, 18, 21, 24.
Now, pretzels that are not checked or tested are: 1, 2, 4, 7, 8, 11, 13, 14, 16, 17, 19, 22, 23.
They are 13 in number.
13 out of 25 pretzels are not checked or tested.
Learn more about multiples here:
https://brainly.com/question/12017228?referrer=searchResults
HELP!!
The local Gas Station is selling 3.5 gallons of gasoline for $22.75. What is the unit price?
PLEASE HELP ME!!!!
Answer:
$6.50/gallon
Step-by-step explanation:
22.75 / 3.5 = $6.50/gallon
Find the area of the polygon shown
Answer:
18 feet
Step-by-step explanation:
(1*4)/2 = 2 (area of right triangle)
4*4=16 (area of square)
2+16=18
If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change
Answer:
The temperature went up by 29 degrees.
Step-by-step explanation:
Since -24 is negative,
Add 5 to 24 = 29.
Help me with 15 :)plz
What can you use to find how many centimeters are in 0.24 meters
Answer:
go0gle, just look it up
Step-by-step explanation:
A motorist takes 5 hours
to travel & 300km, how
Long will it take to bravel
720 km at sume
average Speed?
Answer:
12 hours.
Step-by-step explanation:
A motorist takes 5 hours to travel 300km
This means that his velocity, in km per hour, is given by:
v = 300/5 = 60 km/h
How long will it take to travel 720 km at same average speed?
720 km, 60 an hour. So
720/60 = 12
It will take 12 hours.
Abraham's soccer team won 2/3 of its games. The team won 14 games,
how many games did they play this season?
Answer: 21
Step-by-step explanation:
First, divide 14 by 2 which is 7. Then multiply 7 by 3 because it's 2/3 so that is 21. The answer is 21
Both questions plssssssss
Answer: 4 and 1/4
Step-by-step explanation:
1st question is 4-- count the points that fall above the line
2nd question is 2 out of 8, or 1 out of 4
there are only 2 players who played at least 17 matches AND scored about 5000. There are 8 players who played at LEAST 17 matches
Answers:
1. 4
2. ¼
Explanations:
1. the question is asking how many players were awarded more points than the prediction of the line of best fit (trend line), which can be translated to how many dots are above the line on the graph. 4 dots can be counted above the line
2. 8 players played at least 17 tournaments. of these 8 players, only 2 scored more than 5000 ranking points.
thus, to find the probability, we take 2 ÷ 8 = ¼
i hope this helps! :D
Proportions to Solve Problems - Item 3335
In a box of 36 pencils, 20 are sharpened.
What is the ratio of sharpened pencils to unsharpened pencils?
Answer:
20:16
Step-by-step explanation:
Subtract the number of sharpened pencils you have from the total number and you have your ratio.
35% of students enrolled in collage are freshmen. if the total enrollment of the collage is 2800, how many of the students are freshmen?
Answer:
980 students are freshmen.
Step-by-step explanation:
2800*.35=980
PLEASE HELP
x + 2/3 = 9/10
Answer:
The answer is x= 7/30
Given quadrilateral QRST - quadrilateral HIJK, QR = 10, QT = 6, and HI = 8, find KH.
Answer:
B. 24/5
Step-by-step explanation:
QR = 10
QT = 6
HI = 8
Quadrilateral QRST ~ quadrilateral HIJK, therefore, their corresponding side lengths would be proportional to each other.
This:
QR/HI = QT/HK
Plug in the values
10/8 = 6/HI
Cross multiply
10*HI = 8*6
10*HI = 48
Divide both sides by 10
HI = 48/10
HI = 24/5
Answer:
B. 24/5
Step-by-step explanation:
Hope this helps
Gary can paint a garage in 8 hours. Gary van do it in 6 hours. How long will it take if they all paint together?
I’ll give points + brainalist for correct answer
Answer:
557.8m²Step-by-step explanation:
2 opposite semicircle are same
diameter = 9m
radius = 4.5m --- (diameter = 1/2radius)
area of semicircle = 1/2 × π × radius²
= 1/2 × 3.14 × 4.5×4.5
= 31.79m²
2 semicircles area = 31.79 × 2
= 63.8m²
______________________________
______________________________
other 2 opposite semicircle are same
diameter = 20m
radius = 10m --- (diameter = 1/2radius)
area of semicircle = 1/2 × π × radius²
= 1/2 × 3.14 × 10×10
= 157m²
2 semicircles area = 157 × 2
= 314m²
______________________________
______________________________
length = 20m ----- ( given )
breadth = 9m ----- ( given )
area = length × breadth
= 20 × 9
= 180m²
______________________________
______________________________
AREA of whole figure = 63.8 + 314 + 180
= 557.8m²