The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?
Answer:
24 blue cars
Step-by-step explanation:
In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;
[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]
Cross products,
[tex]5x = 120[/tex]
Inverse operations,
[tex]x = 24[/tex]
Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Sort the information from the problem. What do we know? What do we need to figure out?
Answer:
203 more minutes
We know she swam 154 min in first week.
And in two weeks she swam 357 minutes.
We need to figure out x (total of minutes swam in week two)
So do 357=x+154
Subtract 154 from both sides
x=203
Hope this helps
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:
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
Please Help me Due in 2 Mins
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:
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
13.068 the same as 13.608
Answer:
No its not
Step-by-step explanation:
13.603 is more then 13.068
Help me with this question please!
Answer:
84 in²
Step-by-step explanation:
12+9=21
21x0.5=10.5
10.5x8=84
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 ;
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The graph for y≥-3.
true
false
helpp me
Answer:
I think it's false
Step-by-step explanation
John shared 3 cookies with 4 friends. What fraction of a cookie did each friend recieve?
Answer:
0.75 .................
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
The mathematics faculty at a college consists of 7 professors, 4 associate professors, 4 assistant professors, and 6 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer:
0.619 = 61.9% probability of choosing a professor or an instructor.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7 + 4 + 4 + 6 = 21 members
7 + 6 = 13 professors or instructors.
Find the probability of choosing a professor or an instructor.
p = 13/21 = 0.619
0.619 = 61.9% probability of choosing a professor or an instructor.
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.
What must be true in order to find a sum for an infinite geometric series?
Answer:
That’s just your millennial snowflake brain being unable to comprehend real work. My grandpa lost both his thumbs to frostbite while walking 29.67 kilomiles to school in 10 feet of snow in the summer uphill both ways and he could still wield any tool known to man. And he did so for 83 and a half years until they forced him to retire because he was making all the other workers look like pansies. When he was told he was being forced to retire, he marched into the CEO’s office and declared “I’d rather be dead than a deadbeat.” Then he dropped dead on the spot. Now that’s loyalty!
answer (10-4)x4+8 and i will give u brainlyest and 100pts :>>
Answer:
(10-4)*4+8
=6*4+8
=24+8
=32
Answer:
32
Step-by-step explanation:
Following PEMDAS we first do the stuff in the parentheses and we get [tex]6x4+8[/tex]
Then since there are no exponents, we go straight to doing the multiplication and division, which leaves us with [tex]24+8[/tex].
Finally when we add the last 2 terms together we get our answer of 32.
Hope this helps!
its very easy just try it
Answer:
it is biased
Step-by-step explanation:
Help me please I’m not smart -
You deposit $500 at 6% interest annually. After 6 months, how much money will you earn?
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.
PLEASE ANSWER EXTRA POINTS AND NAMED BRAINLIEST

Answer:
5,8 8,3
Step-by-step explanation:
hoped this helped <33
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:
:)
I need help please :)
Step-by-step explanation:
The given equation is :
2x = 10
We need to find the value of x.
This equation has one solution as it is a linear equation having one variable i.e. x.
Dividing both sides by 2,
x = 5
So, the value of x is equal to 5.
Put x = 5. So,
2(5) = 10
10 = 10
Hence, this is the required solution.
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
A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?
Suppose Huang invests $720 into an annuity every month for five years. At the end of five years, the account has a balance
of $50,000. How much of this balance is interest?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
$6,800
Step-by-step explanation:
The interest earn after 5 years will be $6800.
It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.
We have to find out the interest earn.
What do you mean by interest ?
Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.
As per the question ;
Investment made by Huang = $720 for five years
At end of five years , account balance = $50000.
So ;
Five years = 60 months
and the investment is an annuity every month for five years.
If Huang invests $720 every month for 5 years then total investment is ;
= $720 × 60
= $43200
And account balance at end of 5 years = $ 50000
So ;
Interest earn will be ;
= $50000 - $43200
= $6800
Thus , the interest earn after 5 years will be $6800.
To learn more about algebra click here ;
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4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?
4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?
How do you use coordinates to find the perimeter and area of polygons?
Answer:
You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom
Step-by-step explanation:
How many triangles can be constructed with angles measuring 110°, 50°, and 20°?
0
1
more than one
9514 1404 393
Answer:
(c) more than one
Step-by-step explanation:
The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...
more than one
The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Step-by-step explanation:
Height of real/height of scale=ratio of scale
193/x=75/1
x=2.6
Hope that helps :)