20% of 80 is 16 and 15% of 30 is 4.5, so the sum is 16 + 4.5 = 20.5.
below is the probability tree representing natalie selecting socks.
What is the probability that Natalie selects at least one black sock?
Answer:
[tex]P(Black \ge 1) = \frac{55}{64}[/tex]
Step-by-step explanation:
Given
The attached tree diagram
Required
[tex]P(Black \ge 1)[/tex] --- at least 1 black socks
To do this, we consider the following selections of black (b)
[tex]b = \{BB, BW, WB\}[/tex]
Where
[tex]B\to Black[/tex]
[tex]W\to White[/tex]
From the attached tree diagram, we have:
[tex]BB =\frac{25}{64}[/tex]
[tex]BW =\frac{15}{64}[/tex]
[tex]WB =\frac{15}{64}[/tex]
So:
[tex]P(Black \ge 1) = BB + BW + WB[/tex]
[tex]P(Black \ge 1) = \frac{25}{64} + \frac{15}{64} + \frac{15}{64}[/tex]
Take LCM
[tex]P(Black \ge 1) = \frac{25+15+15}{64}[/tex]
[tex]P(Black \ge 1) = \frac{55}{64}[/tex]
HELP ASAP
Which three-dimensional figure is formed when the square is
rotated about the line?
O cube
O rectangular prism that is not a cube
O cone
O cylinder
Answer:
a cylinder.
Step-by-step explanation:
I hope this helps
Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.
What does g(30)≥20 tell you?
The inequality g(30) ≥ 20 us that: D. Mona found no more than 20 seashells in the first 30 minutes.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than or equal to (≥).Greater than (>).Less than (<).Less than or equal to (≤).How to determine the required function?Assuming the variable g represents the total number of seashells and the variable x represents the total number of time (minutes), an inequality which would model the situation is given by;
g(x) ≥ x
when x = 30, we have;
g(30) ≥ 20
Therefore, Mona found no more than (less than or equal to) 20 seashells in the first 30 minutes.
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Complete Question:
Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.
What does g(30) ≥ 20 tell you?
It took at least 20 minutes for Mona to find 30 seashells.
Mona found at least 20 seashells in the first 30 minutes.
It took at least 30 minutes for Mona to find 20 seashells.
Mona found no more than 20 seashells in the first 30 minutes.
Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1
Answer: 8 x + 5 y + 1
8x+5y+1
so that would be B)
Plzz help me Well Mark Brainliest if correct!
,
Answer:
B) 3:00
Step-by-step explanation:
Its B the answer is 3:00
what is 4/5 divided by 2/3
Evaluate m - 16 when m = 30
[tex]m-16[/tex] when m is 30
Substitute for m with given value:
[tex](30)-16[/tex]
[tex]=\fbox{14}[/tex]
Answer:
Step-by-step explanation:
a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14
answer is 14
the average number of wins for a team is 7.6 for the season with a standard deviation of 1.3. What is the probability that the team will win more the 9 games this season?
The probability that the team will win more than 9 games this season, given the average number of wins for the team, is 4 %
How to find the probability ?The Z-score formula is:
Z = (x - mean) / standard deviation
Where x is the number of wins we're interested in (9), mean is the average number of wins (7.6), and standard deviation is the standard deviation of the number of wins (1.3)
Z = (9 - 7.6) / 1.3
= 2.3 / 1.3
= 1.77
This means that 9 wins is 1.77 standard deviations above the mean. The result is the probability of a team winning more than 9 games this season, which is around 0.04 or 4% from the standard normal distribution table.
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Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6
Answer:
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{n^{18}}[/tex]
Required
Determine its equivalent
[tex]\frac{1}{n^{18}}[/tex]
Express 18 as 3 * 6
[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]
This can be rewritten as:
[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]
Apply the following law of indices:'
[tex]\frac{1}{a^b} = a^{-b}[/tex]
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Hence;
(d) is correct
Answer:D
Step-by-step explanation: cause im big brain
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Step-by-step explanation:
1. move the decimal to make the numbers whole
0.25 - move to the right 2 times - 25
0.044 - move to the right 3 times - 44
2. Multiply 25 * 44 = 1,100
3. Add decimal
you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.
Answer - 0.01100 or 0.011
Which of the following terms correctly describe the object below?
Check all that apply.
D A. Prism
B. Solid
C. Cube
D. Pyramid
E. Polyhedron
F. Polygon
Answer:
A..is the answer of the question
Answer:
Polyhedron, Prism and Solid
At the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $? Assuming pi = 3.14
I 've been stuck on this for so long can someone please help me out?!
help meeeeeeeee PLEASEEEEE
Answer:
Step-by-step explanation:
5 blocks in 12 minutes
1 hour = 60 minutes
60 div. by 12 = 5
5 meaning theres 5, 12 mins in an hour
so, 5 x 5 = 25
25 meaning blocks per hours
25 + 25 = 50
50 blocks in 2 hours :)
Lenore rounds each factor to the nearest ten to estimate the product of 51 times 37 as 1,500.is Lenore’s estimate reasonable?Explain.
Answer:
yes
Step-by-step explanation:
51 to nearest ten is 50
37 to nearest ten is 40
50 * 40 = 2000
and it's an estimate so yes
I need help ASAP with this problem.
Using the arc length formula,
[tex]S=9\left(\frac{3\pi}{4} \right) \approx \boxed{21.2}[/tex]
if the perimeter of an equilateral triangle is 12 inches ,what is the side length
Answer:
4 in.
Step-by-step explanation:
By definition of a equilateral triangle, all sides and interior angle measurements are congruent.
Essentially, all interior angles = 60°
By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4
4 inches is the side length.
~
Answer:
4
Step-by-step explanation:
12 ÷ 3 = 4
all the sides are equal
What are the examples of METRIC SYSTEM AND COMMON FACTORS, ANGLES, And HEPTAGON sides?
Please i need your help!!
Answer:
hey
Step-by-step explanation:
plea se solve step by step solve
it's very urgent plzz
WILL MARK BRAINLIEST!!!
Which of the following are true statements about any regular polygon? Check all that apply.
Answer:
They are convex, all sides are congruent, their angles are congruent, and the sum of their exterior angles is 360º.
Step-by-step explanation:
30% of what number is 33.0
If your good at compound interest i need help with this question 15
Answer:
4000
Step-by-step explanation:
10% of 3120 = 312
312 x 3 = 936
3120 + 936 = 4056
4056 rounded to the nearest thousanth = 4000
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A line has a slope of 8 and crosses the y-axis at (0, 12). Express this line in slope-intercept form.
Answer:
y = 8x + 12
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.
The problem just handed you everything you need! Awesome!
Replace m with 8. Replace b with 12.
If a line crosses the y-axis at (0, b), then b is the y-intercept.
Anna and Jayla are reading the same
book. Anna is on page 150 and reads
7 pages a day. Jayla is on page 110 and
reads 15 pages a day. After how many
days will Anna and Jayla have read the
same number of pages? Explain.
How many tens do u need to make 280
Answer: 28
Step-by-step explanation:
280/10=28
(/=divide)
If you have 10 baskets and have 280 apples to evenly distribute them in every basket, you would have 28 in each basket. If that makes sense.
Hope this helps!
How to Solve the problem 7/8 x 4 =
Answer:
The Answer is gonna be 7/8 x 4 =3.5
This is the right Answer :3
I hope you are having a great day ❤️❤️❤️
At the movies, my friend bought a drink and popcorn. The total cost of my friend's purchase was $15. The drink cost $6. Which equation represents the total cost of my friend's purchase, along with the cost of the popcorn?
15 - 6 = p; p = 21
p + 15 = 6; p = 9
6 + 15 = p; p = 21
p = 15 - 6; p = 9
Answer:
The correct equation is: 6 + p = 15; p = 9.
Step-by-step explanation:
In this equation, p represents the cost of the popcorn, and the equation states that the total cost of my friend's purchase (the cost of the drink plus the cost of the popcorn) is $15. Therefore, the cost of the popcorn must be $9.
Answer:
Option D)
Step-by-step explanation:
Overall cost of both the items = $15
Cost of the drink = $6
Cost of popcorn = p
To Find : The equation that represents the Overall cost and the cost of the Popcorn
p + 6 = 15
p = 15 - 6
p = 9
Hence , the correct answer is p = 15 - 6; p = 9
Find cos(a) in the triangle.
Answer:
B.)
Step-by-step explanation:
cosine is adjacent/hypotenuse
24/25
Answer: 24/25 (choice B)
This is because cosine of an angle is the ratio of the adjacent and hypotenuse
So,
cos(angle) = adjacent/hypotenuse
cos(a) = 24/25
--------------
Extra info:
Something like 7/25 would be for the sin(a) value, and 7/24 is tan(a). The reciprocal of 7/24 leads to 24/7, which is the value of cot(a).
y= -4(x+5)^2+4[tex]y=-4(x+5)^2+4[/tex]
9514 1404 393
Answer:
x = -6 or -4
Step-by-step explanation:
Maybe you want to know the x-intercepts. They are found by ...
0 = (x +5)² -1 . . . . . divide by -4
1 = (x +5)² . . . . . . . add 1
±√1 = x +5 . . . . . . square root
-5 ± 1 = x . . . . . . subtract 5
x = -6 or -4
__
The vertex is (-5, 4). The parabola opens downward, so the vertex is a maximum. The range of the function is (-∞, 4]. The vertical scale factor is -4, so the graph will appear narrower than that of the parent function.
the average weight of 20 students in a certain school was found to be 165 with a standard deviation of 4.5 a) construct a 90% confidence interval for the population mean
A 90% confidence interval for the population mean is; CI = (163.355, 166.655)
How to find the confidence Interval?The formula to find the confidence level here is;
CI = x' ± z(s/√n)
Where;
CI is confidence level
z-score at confidence level
x' is sample mean
s is standard deviation
n is sample size
We are given;
Sample mean; x' = 165
Sample size; n = 20
standard deviation; s = 4.5
z at CL of 90% = 1.645
Thus;
CI = 165 ± 1.645(4.5/√20)
CI = 165 ± 1.655
CI = (163.355, 166.655)
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hello i need help with question 5 please i need help
a) The total cost of buying the car with HST is given as follows: $36,160.
b) The amount of money saved by the customer leasing the car instead of buying is given as follows: $14,760.
c) The customer should lease a new car, as according to the two options in this problem, leasing is more economic than purchasing a new car.
How to obtain the costs?
The costs are obtained applying the proportions in the context of this problem.
The HST tax is the Ontario Sales Tax, which means that an additional 13% of taxes has to be paid when purchasing the car.
Hence the total cost of buying the car, considering the HST tax, is given as follows:
1.13 x 32000 = $36,160.
The costs for leasing the car are given as follows:
$1,000 down payment.48 payments of $425.Hence the total cost for leasing the car is given as follows:
1000 + 48 x 425 = $21,400.
Then the amount saved by the customers when he/she decides to lease the car instead of purchase is given as follows:
36160 - 21400 = $14,760.
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Passes through
(-8, 3) and (8, -1).
Answer:
Slope = Y2 -Y1 / X2 - X1
Slope = -1 -3 / 8 --8
Slope = -4 / 16
Slope = -1 / 4
To calculate the equation we fill in this equation:
(y - y1) = slope • (x -x1)
We only need to choose 1 point so we'll choose (-8, 3)
(y - 3) = -1 / 4 * (x --8)
So the Equation equals
y = -1 / 4 x -2 + 3
y = -1 / 4x +1
Source:
http://www.1728.org/distance.htm
Step-by-step explanation: