Answer: 0.5143
Step-by-step explanation:
Probability of students who are over 21 years old = 30% = 0.3
Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7
Probability of drinking alcohol for over 21 = 80% = 0.8
Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2
Let the probability of the students who are not over 21, that drink alcohol be p.
Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)
0.6 = (0.3 × 0.8) + (0.7 × p)
0.6 = 0.24 + 0.7p
0.7p = 0.6 - 0.24
0.7p = 0.36
p = 0.36/0.7
p = 0.5143
The probability of the students who are not over 21, that drink alcohol is 0.5143.
a sidewalk is 5ft wide, 6in deep, and 220 ft long. how many cubic yards of concrete are needed to fill it?
Answer:
1100/54 yds
Step-by-step explanation:
First convert inches and feet to yards
[3 ft = 1 yd, 12in = 1yd]
5ft = 1 2/3 yds
6in = 1/6 yds
220ft = 73 1/3 yds
Now use the volume formula,
b*w*h = A
[1 2/3] * [1/6] * [73 1/3]
= [5/3] * [1/6] * [220/3]
= [5/18] * [220/3]
= 1100/54 yds
plsss i really need help! How many unique handshakes can be made between 5 people? if you help me ill give u brainliest!
Answer:
10
Step-by-step explanation:
This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:
1 2 3 4 5
Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.
Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.
Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.
Person 4 can only shake 5's hand, which is 1 handshake.
Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.
find the area of the shape below
If the probability of getting a particular result in a experiment is 75.3% what is the probability of not getting the result
Answer:
100%-75.3%
Step-by-step explanation:
The total probability of all outcomes is 100%.
If the probability of a particular result is 75.3% then all other possibilities (not the particular event) must equal 100% - 75.3%.
Find Y pls
Thank you
Answer:
y=3
y=1
y=0
Step-by-step explanation:
[tex]y=-\frac{1}{2}x+ \frac{5}{2} \\\\y=\frac{5-x}{2} \\\\x=-1\\\\y=\frac{5-(-1)}{2}\\\\y=\frac{5+1}{2}\\\\y=\frac{6}{2}\\\\y=3\\\\x=3\\\\y=\frac{5-3}{2}\\\\y=\frac{2}{2}\\\\y=1\\\\y=\frac{5-5}{2}\\\\y=\frac{0}{2}\\\\y=0[/tex]
Answer:
y=3
y=1
y=0
Step-by-step explanation:
For this problem, we are given the x-value. TO find the y-value, you plug in x and solve.
x=-1
[tex]y=-\frac{1}{2}(-1)+\frac{5}{2}[/tex] [multiply]
[tex]y=\frac{1}{2}+\frac{5}{2}[/tex] [add]
[tex]y=\frac{6}{2}[/tex] [divide]
[tex]y=3[/tex]
---------------------------------------------------------------------------------------------------------------
x=3
[tex]y=-\frac{1}{2}(3)+\frac{5}{2}[/tex] [multiply]
[tex]y=-\frac{3}{2}+\frac{5}{2}[/tex] [add]
[tex]y=\frac{2}{2}[/tex] [divide]
[tex]y=1[/tex]
---------------------------------------------------------------------------------------------------------------
x=5
[tex]y=-\frac{1}{2}(5)+\frac{5}{2}[/tex] [multiply]
[tex]y=-\frac{5}{2}+\frac{5}{2}[/tex] [add]
[tex]y=0[/tex]
(-5) ÷ (-7) = _____
-
35
-35
Answer:
0.714
Step-by-step explanation:
Wgat more explanation could I give you. lol
The pizza dough recipe recipe shown makes one batch of dough charlie wants to make a half batch she has 1 cup of flour how much more flour does she need
Levi earned $489.90 at his job when he worked for 23 hours. What was his hourly wage, in dollars per hour? (HELP!!!!)
118 meters in 2 seconds, how many meters in 11 seconds?
Answer:
It would be 649
Step-by-step explanation:
118 ÷ 2= 59
59 x 11= 649
Answer:
649m
Step-by-step explanation:
[tex]\frac{118m}{2s} =\frac{59m}{s}[/tex]
so that 59m/s we multiply by 11s
[tex]\frac{59m}{s} (11s)=649m[/tex]
3. Starting from his house, Reid rode his bike 300 m to the north, then 100 m to the east.
Which of the following vector diagrams shows Reid's path? (Note: The height and width of each
square in the grids is 100 m.)
Answer:
The answer would be South x
Step-by-step explanation:
insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.
Answer:
2,6,18,54
How I got this answer:
Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.
step by step:
2×3=6
6×3=18
18×3=54
The common ratio is 3.
Nathan is hosting a part for 40 guests. He will count each of the 45 drop in guests as half a guest. How much of each food item should Nathan order?
Fried chicken- 24 pieces
Deli meats- 3 2/3
Lasagna 10 3/4
Answer:
25 guests is 2.5 times more than 10
Step-by-step explanation:
Multiply by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
Someone help me pliisss
Answer:
The prove of the given identity is shown below:
Step-by-step explanation:
It seems that the question involves the proving of a trigonometric identity.
Therefore, we are going to work independently on each side of the equal sign.
We start by considering [tex]cos(\alpha)=cos(\frac{\alpha}{2} +\frac{\alpha}{2})[/tex] since the angle alpha is the same as the addition of two halves of it. Then we apply the identity for the cosine of an addition of angles: [tex]cos (\frac{\alpha}{2} +\frac{\alpha}{2})=cos(\frac{\alpha}{2})*cos(\frac{\alpha}{2})-sin(\frac{\alpha}{2})*sin(\frac{\alpha}{2})= cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})[/tex]
and now we use the Pythagorean identity to replace the cosine square expression:
[tex]cos^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})[/tex]
in the difference of square trig functions we had arrived to:
[tex]cos^2(\frac{\alpha}{2})-sin^2(\frac{\alpha}{2})=1-sin^2(\frac{\alpha}{2})--sin^2(\frac{\alpha}{2})=1-2\,sin^2(\frac{\alpha}{2})[/tex]
We have arrived at the exact same expression the original identity shown on the righthand side of the equal sign, so we have proved the identity.
please helppp The correct equation is S=2r+7 verify this equation matches your table for r=1 r=2 and r=3
Answer:
Step-by-step explanation:
Part (A).
Row Number of seats
1 9
2 11
3 13
4 15
5 17
6 19
7 21
(B). Jonathan models the equation for the pattern of number of seats as,
S = 7r + 2
Where S = number of seats in every row 'r'
For r = 1,
S = 7(1) + 2 = 9
Models for row 1.
For r = 2,
S = 7(2) + 2 = 16
Not correct.
For r = 3,
S = 7(3) + 2 = 23
Not correct.
Therefore, this equation doesn't work for the rows above the first row.
(C). Correct equation is,
S = 2r +7
For r = 1,
S = 9
For r = 2,
S = 4 + 7 = 11
For r = 3,
S = 6 + 7 = 13
Therefore, this equation works for all the rows.
(D). Number of seats in 15th row = 2(15) + 7 = 37 (For r = 15)
(E). 91 = 2r + 7
2r = 91 - 7
2r = 84
r = 42
Therefore, in 42nd row number of seats = 91
The equation 3x − 6 = 2(x + 4) has A. one B. no C. Infinitetly many solution(s).
Answer:
x=14?
Step-by-step explanation:
2(x+4)=2x+8, so 3x-6=2x+8. Subtraxt 2x from each side to get x-6=8. Then add 6 to both sides to get x=14
Answer:
One solution
Step-by-step explanation:
3x-6 = 2(x+4)
3x-6=2x+8
3x-2x-6=8
x-6=8
x=14
The reciprocal of 1/6 is
Answer:
6/1 or 6
Step-by-step explanation:
This is the answer because:
1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.
2) So when you flip the fraction, you will get 6/1 which equals 6
Hope this helps!
Please answer ASAP my assigned due tomorrow WORTH 15 POINTS
Answer:
$7.74
Step-by-step explanation:
The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.
For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.
This means that we can add these values together to get the minimum amount that the school needs to earn
[tex]1137.50+1500=2637.50[/tex]
Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.
[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]
This means that the school needs to sell these books for at least $7.74
(... This fictional school is selling the books for more than double the price they paid for them...)
Chelsea and her friends ate 12 of 16 apples she purchased. What percent of apples did they eat?
Answer:
.75
Step-by-step explanation:
12/16 = 75/100
100/4 = 25
16/4 = 4
3 x 4 = 12
3 x 4 = 75
12/16 = 3/4
75/100 = 3/4
Hopefully this helps you
pls mark brainlest
Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what was his mistake? Yes, he is correct. No, he needed to add the exponents of powers of the same base in the first step. No, he needed to apply the exponent to all factors in the product in the second step.
-c
No , he needed to apply the exponents to all factors in the product in the second step .
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression? o
(x2 – 7)(x - 5)
(x2 – 7)(x + 5) •
(x2 – 5)(x – 7)
(x2 + 5)(x – 7)
Answer: C
.................................................................
The expression is a polynomial expression, and the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)
How to factor the expression?The expression is given as:
x³ - 7x² - 5x + 35
Factorize the expression
x²(x - 7) - 5(x - 7)
Factor out x - 7 in the expression
(x² - 5)(x - 7)
The above expression cannot be further factorized.
Hence, the factored expression of x³ - 7x² - 5x + 35 is (x² - 5)(x - 7)
Read more about factorized expression at:
https://brainly.com/question/723406
#SPJ5
If apples cost $1.18/lb, how many grams (g) of apples may be purchased for $20.00? Round to 3 Digits.
Answer:
Step-by-step explanation:
First calculate how many pounds of apples you can buy for 20 dollars.
20/1.18 = 16.949 pounds
Now convert that to grams
1 pound = 454 grams
16.949 = x
Cross multiply
1 x = 16.949 * 454
x = 7694.915 grams.
Round to 3 digits
9690 grams.
True or False. All Rational Numbers are also Integers.
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The circle of real numbers. Natural goes into Whole, Whole goes into Integers, and intergers go into rational.
What value of n makes the equation true?
Answer:
n=10
Step-by-step explanation:
You need n to be 10 because: y^20= (y^10)^2
Answer:
n = 10
Step-by-step explanation:
(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰
use the rules of exponents to simplify the expression.
2¹ x⁹ yⁿ * 4¹ x² y¹⁰
use the commutative property of multiplication
2¹ * 4¹ x⁹ x² yⁿ y¹⁰
add exponents of the same base:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰
back to original equation:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰ = 8 x¹¹ y²⁰
therefore
the value of n = 10
y2-8+7
2x - y >4
Yes
No
Would 2-3 have the same answer as 3-2? Why or why not?
Answer:
No
Step-by-step explanation:
2-3= -1
3-2 = 1
Russell runs 910 mile in 5 minutes. At this rate, how many miles can he run in one minute?
Russell would run 182 miles for 1 minute.
What number is 10th times as much as 17.1
Answer: 170
Step-by-step explanation:
you move the decimal to the right one time.
Please help ive lost my ability for simple patterns. Its due by end of day. Pt. 3
Step-by-step explanation:
On the right side, 3 + 4 + 7 = 14, so the other two numbers must add up to 22. Therefore, they must be 10 and 12.
Let's assume 12 is the top number and 10 is the bottom number.
The left side adds up to 12 + 9 + 2 = 23, so the other two numbers add up to 13. Therefore, they must be 5 and 8.
The bottom side adds up to 10 + 1 + 11 = 22, so the other two numbers add up to 14. Therefore, they must be 6 and 8.
So the bottom left number is 8.
Coffee is a leading export from several developing countries. When coffee prices are high, farmers often clear forest to plant more coffee trees. Here are data on prices paid to coffee growers in Indonesia and the rate of deforestation in a national park that lies in a coffee-producing region for five years. Price (cents per pound) Deforestation (percent) 25 0.31 49 1.69 60 1.66 55 1.7 68 3.31 (a) Make a scatterplot. (Do this on paper. Your instructor may ask you to turn this in.) Which is the explanatory variable? What kind of pattern does your plot show? Price is the explanatory variable. The plot shows a negative linear association. Price is the explanatory variable. The plot shows a positive linear association. Price is the explanatory variable. The plot shows no linear association. Deforestation is the explanatory variable. The plot shows a positive linear association.
Answer:
The plot shows a positive linear association. Price is the explanatory variable.
*See attachment for the scatterplot of the data
Step-by-step explanation:
The rate of deforestation is dependent on the price of coffee. Therefore, the explanatory variable is the price of coffee, which affects rate of deforestation.
The response variable is the rate of deforestation. The rate of deforestation is influenced by the price of coffee.
When plotting a scatter plot, the values for the explanatory variable are plotted on the x-axis, while the response variables are plotted on the y-axis.
The data given below is what we would use in plotting the scatterplot shown in the attachment:
Explanatory variable, X, (Price, cents per pound) => Response variable, Y, (deforestation, %)
25 => 0.31
49 = > 1.69
60 => 1.66
55 => 1.7
68 => 3.31
The scatterplot graphed as shown in the attachment shows a positive linear relationship between price of coffee and rate of deforestation. As price increases, rate of deforestation also increases.
Enter the addition problem so the fractions have a common denominator. Then find
the sum. 1/10 + 3/5
Answer:
7/10
Step-by-step explanation:
1/10 + 3/5
1/10 + 6/10
7/10