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Explanation:
We have these four cases or possible outcomes
Case 1) We select 0 black marbles and 3 red marbles.Case 2) We select 1 black marble and 2 red marbles.Case 3) We select 2 black marbles and 1 red marble.Case 4) We select 3 black marbles and 0 red marbles.Let's calculate the probability for case 4.
There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.
The probability of getting 3 black marbles in a row is
(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.
That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).
Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".
So that's why the answer is 17/24.
Hope made 3 different yo-yo's. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string
Answer:
See explanation
Step-by-step explanation:
Your question is different from the attachment
Statement 1
1 adult + 5 Children
$4 for adult and total of $16 for both adult and children
Let
Cost of children skating = x
The equation is
4 + 5x = 16
Statement 2:
Cost of making a bike bag= $4
Selling price of the bike bag = $5
Profit = $16
Let x = number of bike bag
Profit = selling price - cost price
16 = 5x - 4x
16 = x(5 - 4)
Also written as
(5 - 4)x = 16
Statement 3:
Initial temperature = 16°C
Change in temperature per hour = 4°C
Final temperature = 5°C
Let
x = number of hours it changes
16 - 4x = 5
Hope made 3 different yo-yos. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of meters of string 4 1/3
length of first yo-yo = 1 3/4
length of second yo-yo = 1
Length of third yo-yo = x
Total = 4 1/3
Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo
4 1/3 = 1 3/4 + 1 + x
4 1/3 = 2 3/4 + x
4 1/3 - 2 3/4 = x
13/3 - 11/4 = x
(52-33) / 12 = x
19/12 = x
x = 1 7/12
please help I will mark brainlyest
Answer:
Choice D.
Step-by-step explanation:
Hello! Me again, this is my explanation to my solution,
A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.
Hope this helped! Let me know if you have further questions! :)
Solve the equation for all values of x.
-x(x – 8)(x² + 25) = 0
From deltamath.com
Answer:
x=0 , x=8 , x = ±5i
Step-by-step explanation:
-x(x – 8)(x² + 25) = 0
Using the zero product property
-x =0 x-8 =0 x^2+25 =0
x =0 x= 8 x^2 = -25
x=0 x= 8 sqrt(x^2) = sqrt(-25)
x = ±5i
Will Give Brainliest!
Solve for r.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
35r - 21 < -35r + 19
Answer:
r < 4/7
Step-by-step explanation:
35r - 21 < -35r + 19
35r + 35r < 19 + 21
70r < 40
r < 4/7
Answer:
r < 4/7
Step-by-step explanation:
how do i find perimeter and area of this triangle?
Answer:
u should use a ruler and multiplied
Step-by-step explanation:
I dont know the step by step sorry
Chase took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.20 plus $4.75 per mile. The total fare was $48.70, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride. write the equation
what is the relation that represents the relation
Answer:
what can i help u with
Step-by-step explanation:
I really can't help u with that sorry i am bad at math
Which of the following phrases are inequalities?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
5=\dfrac{55}{11}5=
11
55
5, equals, start fraction, 55, divided by, 11, end fraction
(Choice B)
B
-2<2\text{}−2<2minus, 2, is less than, 2, start text, end text
(Choice C)
C
10-6q10−6q10, minus, 6, q
(Choice D)
D
7w>5.6\cdot 10^{4}7w>5.6⋅10
4
7, w, is greater than, 5, point, 6, dot, 10, start superscript, 4, end superscript
(Choice E)
E
f-4-7>7-4-ff−4−7>7−4−f
Answer:
B,D, and E
Step-by-step explanation:
Yes
5. Solve each of the following quadratic equations using the Quadratic Formula (Express all roots as integers or as real numbers rounded to one decimal place)
a) 2x2 – 3x - 10 = 0
b) 3x2 - 8x + 4 = 0 (answer pls:)
Help me pleaseeeeeee
Answer:
Step-by-step explanation:
6. Yes: these two angles are opposite 2 equal line.
7. No: We don't know that AC bisects <JAD
8. No: We don't know that JCA or DCA are right angles.
9. Yes. Both angles have AC in common. JD is a straight line which has 180 degrees. AC intersects a JD and creates 2 angles. We know their total but not their equality.
10. Yes. They are given as equal.
Not everything you see is true just because it looks that way.
Find the slope of
(-3,6)(5,-4)
Answer:
Slope: -5/4
Step-by-step explanation:
Slope formula: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Plug in:
[tex]\frac{-4-6}{5-(-3)}[/tex]
Solve:
[tex]\frac{-4-6}{5-(-3)}[/tex]
-4 - 6 = -10
5-(-3) = 8
-10 5
----- = - -----
8 4
The answer is -5/4
Hope this helped.
If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle
is:
Answer:
22= 2(pi)(r)(45/360)
28.01
C=176
Step-by-step explanation:
A team of 5people to be selected from 7women & 6men. Find the number of different teams that could be selected if there must be more women than men in the team
Answer:
1246 teams
Step-by-step explanation:
We are told there are 7women & 6men.
If 5 people are selected and there must be more women than men in the team.
This means there must be a minimum of 3 women.
Thus;
For 3 women;
7C3 × 6C2 = 525
For 4 women;
7C4 × 6C3 = 700
For 5 women;
7C5 × 6C0 = 21
Thus;
Total = 525 + 700 + 21 = 1246 teams
Find derivative of 3x^2+4 using limits
The derivative of a function f(x) is defined as
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]
For f(x) = 3x ² + 4, we have
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x+h)^2+4) - (3x^2+4)}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{(3(x^2+2xh+h^2) - 3x^2}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{6xh+3h^2}h[/tex]
[tex]f'(x)=\displaystyle\lim_{h\to0}(6x+3h) = \boxed{6x}[/tex]
express the ratio 7day to 6weeks as a decimal fraction
Answer:
6 weeks=6*7 days=42days
7/42 =1/6 =0.16667
OR
7 days=1 week
therefore 1/6=0.16667
Note that both must be in the same unit.
Allowing 20 % discount on the marked price of an article and levying 15 % VAT. a buyer has to pay Rs 9.200 for the article. Find the marked price of the article.
Answer:
here I'm confused that whether the selling price is Rs.9,200 or Rs.9.200
any ways you can take the help of below procedure
Step-by-step explanation:
here,
let marked price be X
discount(d)=20%
VAT=15%
SP with VAT= 9200
now,
SP without VAT= SP - VAT of SP
= 9200-15/100 ×9200
= 9200- 1380
=Rs. 1380
again,
SP= MP - D of MP
or,7820= x- 20/100 × x
or, 7820× 100 = 100x- 20x
or,782000=80x
or, 782000/80=X
or, X= 9775.
hence MP is Rs 9775
The seating capacity at a movie theater is 400. For a Monday
afternoon movie, 68% of the seats are filled. About how many
seats are empty?
-.- sorta need this answer quickly, thanks
a giraffe can run 32 miles per hour. what is this speed in feet per second?
Answer:
46.9 ft/sec
Step-by-step explanation:
A giraffe can run 32 miles per hour. What is this speed in feet per second? Round your answer to the nearset tenth.
Write an equation of the graph (shown below) in slope intercept form.
Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?
The equation has one zero because the discriminant is 1.
The equation has one zero because the discriminant is a perfect square.
The equation has two zeros because the discriminant is greater than 0.
The equation has no zeros because the discriminant is not a perfect square.
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
3x^2 – 7x + 4
a=3 b = -7 c=4
The discriminant is
b^2 -4ac
(-7)^2 - 4(3)(4)
49 - 48
1
Since the discriminant is greater than zero, there are two real solutions
Answer:
The equation has two zeros because the discriminant is greater than 0.
Step-by-step explanation:
If x−2/4=2, then x=10
Answer:
True.
Step-by-step explanation:
[tex]\frac{(10)-2}{4}=2\\\\\frac{8}{4}=2\\\\2=2[/tex]
Help pleaseeeee like ASAP
Answer:
m is slope and y is the intercept
Please help out need explanation so I can know how to do it
Answer:
B = 60in^2
H = 4in
P = 34in
SA = 280
Step-by-step explanation:
Base - The base I assume would be the red rectangle, and 12x5 would be the area of that, so the answer is 60
Height - I assume that the height is 12, if the prism is vertical, if horizontal, then the height would be 4.
Perimeter - The length of the side lengths, so the base is the red sqaure 12+12+5+5=34
Surface Area - Base=60*4 (There are 4 "bases") =240, and then we have 5*4 (For the little squares, and times this by 2 becasue there are 2 of them) = 20*2=40
40+240=280
8. If a prism is 15cm high with its base a triangle having sides 6cm, 8cm and 10cm. Find its volume. (a) 350cm (b) 30cm (c)460cm3 (d)90cm3
Answer:
360cm³
Step-by-step explanation:
Volume of a triangular prism = Base area * Height of prism
Height of prism = 15cm
Base area = 1/2 * 6 * 8
Base area = 24cm²
Volume of the prism = 15 * 24
Volume of the prism = 360cm³
What is the equation of the line that passes through (-1, 5) and (3, -7)?
Answer:
[tex] 3x + y = 2 [/tex]
Step-by-step explanation:
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]
[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]
[tex] y - 5 = -3(x + 1) [/tex]
[tex] y - 5 = -3x - 3 [/tex]
[tex] 3x + y = 2 [/tex]
Please hurry I will mark you brainliest
Ingrid walks 1 m, and then turns 90° left. She repeats these steps three more times and returns to the exact place she started. Which of the following instructions can she repeat a number of times to arrive at the exact same starting point?
• Walk 1 m, and then turn 40° left.
• Walk 1 m, and then turn 55° left.
• Walk 1 m, and then turn 70° left.
• None of these
Answer:
• Walk 1 m, and then turn 40° left.
Step-by-step explanation:
Answer:
None of them
Step-by-step explanation:
None of the answers get her back to the same point in only four steps. she would need a different way of walking to get the same result as a square.
Determine what type of model best fits the given situation: the temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. liner
B. exponential
C. quadratic
D. none of these
Answer: T = -t / 4 + T0 where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature
Explanation: This is a linear equation in T and t
(-1 / 4 represents -5 deg / 20 min = - 1 deg / 4min
A tank is capable of holding 36,18 and 72 litres of milk . Determine which is the greatest vessel which can be uses to fill each one of them on exact number of times
Answer:
Greatest vessel to fill each in exact number of times is 6 litres
Step-by-step explanation:
To solve this, we will find the greatest common factor of 36,18 and 72
Thus;
Their prime factors are;
18: 2, 3
36: 2, 2, 3, 3,
72: 2, 2, 2, 3, 3
The factors common to all of them are 2 & 3.
Thus;
GCF = 2 × 3 = 6
Can someone please explain how to do this?(Picture above) I'll give brainliest!
Answer:
f(1)=4
f(-3)=4
f(5)=-2
f(0)=2
f(-1)=0
f(3)=2
Step-by-step explanation:
Pose f(x) as your x value. Now apply to the graph
A triangle can have at most___ right angle
О
2
4
1
a right angle can have at least 2
