Jack's father is three times older than Jack. Five years ago, the sum of their ages was 34. How old is Jack's father now?.
How do you work out the probability
A box contains:
3 red crayons
7 blue crayons
4 yellow crayons
8 green crayons
2 black crayons
1 orange crayon
A crayon is chosen at random and replaced 50 times. What is a reasonable prediction for the number of times a blue or orange crayon will be drawn?
Answer:
16 times
Step-by-step explanation:
We first have to find the total amount of crayons:
[tex]3+7+4+8+2+1=25[/tex]
That means that the box contains a total of 25 crayons. Of those 25 crayons, 7 are blue and 1 is orange. That means every time one crayon is chosen from the box, there is an 8 in 25 chance it will be blue or orange. We can represent that chance as a fraction: [tex]\frac{8}{25}[/tex]
That [tex]\frac{8}{25}[/tex] chance occurs each time ONE crayon is chosen, so if we want to know how many times blue or orange will be chosen after 50 times, we can multiply that chance by 50.
[tex]\frac{8}{25}*50=400/25[/tex]
Then you simplify the fraction:
[tex]\frac{400}{25}=16[/tex]
That means that if you pull crayons from the box 50 times, a blue or orange crayon will be likely drawn around 16 times.
IMPORTANT!
I will mark brainliest to first answer if it’s right.
I set the point value to 40!!!
Answer:
m = 5
p = 10
Step-by-step explanation:
Part A
The dashes on the lines mean that the lines are equal in length.
Therefore, IJ = IH and HK = KJ
So as IJ = IH
⇒ 10 = 2m
⇒ m = 10 ÷ 2
⇒ m = 5
Part B
The line IK is the bisector of angle I since IJ = IH and HK = KJ
Therefore, 2p - 5 = p + 5
subtract p from both sides:
⇒ 2p - 5 - p = p + 5 - p
⇒ p - 5 = 5
Add 5 to both sides:
⇒ p - 5 + 5 = 5 + 5
⇒ p = 10
What is the equation in slope-intercept form of a line with
3
slope - and y-intercept –7?
3
y7
O A) y=xx+7
OB) v=xx-7
OC) y=x+7
)
X
2.
y
OD) y=-X-7
Answer:
B
Step-by-step explanation:
Just did the test. Wish you luck!!
The equation of line is y = ( 3/2 )x - 7 , where the slope is m = 3/2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 3/2
The y-intercept is b = -7
And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
So , y = ( 3/2 )x - 7
Hence , the equation of line is y = ( 3/2 )x - 7
To learn more about equation of line click :
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Write the inequality that matches the situation. Amanda rented a bike from Shawna's Bikes. They charge $2 per hour, plus a $10 fee. Amanda paid less than $27.
Caleb has a bag that contains orange chews, cherry chews, and peach chews. He performs an experiment. Caleb randomly removes a chew from the bag, records the result, and returns the chew to the bag. Caleb performs the experiment 20 times. The results are shown below: An orange chew was selected 15 times. A cherry chew was selected 3 times. A peach chew was selected 2 times. Based on these results, express the probability that the next chew Caleb removes from the bag will be cherry chew as a decimal to the nearest hundredth.
Answer:
0.15
Step-by-step explanation:
3/20= 0.15
15/100= 0.15
hello people ~
factorise:21x²-43x-14
Answer:
[tex]\displaystyle [7x + 2][3x - 7][/tex]
Step-by-step explanation:
Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus symbol because the B-value is −43, therefore 49 gets the minus symbol, leaving 6 with the plus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 - 43x - 14 \\ \\ [21x^2 + 6x] - [49x - 14] \\ 3x[7x + 2] - 7[7x + 2] \\ \\ \boxed{[7x + 2][3x - 7]}[/tex]
I am joyous to assist you at any time.
what is the length of PQ round to the nearest tenth of a unit p(-6 , 2) (-7 ,4)
Answer:
-73
please keeps as Brainly list
Answer:
≈ 2.2 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 6, 2) and (x₂, y₂ ) = (- 7, 4)
d = [tex]\sqrt{(-7+6)^2+(4-2)^2}[/tex]
= [tex]\sqrt{(-1)^2+2^2}[/tex]
= [tex]\sqrt{1+4}[/tex]
= [tex]\sqrt{5}[/tex] ≈ 2.2 ( to the nearest tenth )
100 BRAINLY POINTS!!!
The harvest results of a farm are shown in the graph below.
Which equation best models the relationship between the amount of compost used, x, and the harvest yield, y ?
A. y = x
B. y = 200x
C. y = x + 200
D. y = 200x + 200
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Note:-
Graph must not be drawn to scale so taken imaginary coordinates most near to accurate
So the cordinates are
(0,200)(200,400)(400,600)(600,800)Mark the change between x and y
400+200=600200+200=4000+200=200So
the relationship is
y=200+xOption C
Answer:
C. [tex]y=x+200[/tex]
Step-by-step explanation:
Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.
All the given options for the line of best fit are linear equations.
Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above as below the line.
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 200. So this suggests that either option C or option D is the solution.
We can also see that slope (gradient) is approximately 1, as for every +100 increase in x, y increases by +100.
[tex]\textsf{slope = rate of change}=\sf\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{100}{100}=1[/tex]
Therefore, this suggests that C is the solution and that the closest approximation to the line of best fit is [tex]y=x+200[/tex]
I need help with number 3
Answer:
a) 8 apples
b) 5 oranges
c) 2 oranges and 6 apples
Step-by-step explanation:
a) 8 apples × 1$ = 8$ < 10$
b) 5 oranges × 2$ = 10$
c) 2 oranges × 2$ = 4$
6 apples × 1$ = 6$ (4+6=10)
Answer:
(4 apples, 4 oranges)(4 apples, 3 oranges)(6 apples, 2 oranges)Step-by-step explanation:
The problem scenario gives rise to two equations. One describes the total number of fruit. It is plotted in blue. The other describes the total cost. It is plotted in red.
a)The total number of fruit will be 8 at any blue dot. (It will not cost $10 if that dot is not also red.) One such total is (4 apples, 4 oranges)
__
b)The total cost will be $10 at any red dot. (The fruit count will not be 8 if that dot is not also blue.) One such cost is (4 apples, 3 oranges)
__
c)The cost for 8 pieces of fruit will be $10 where the blue and red dots are plotted at the same point: (6 apples, 2 oranges)
If AB = 10 and B lies at -6, where could A be located?
Answer:
26
Step-by-step explanation:
AB to B is 16 units, so it's reasonable to assume that A to AB is 16 units as well.
how many burgers can make from 1 billion cows ?
Answer:
1.186836*10^12 burger
Step-by-step explanation:
first, there is not even 1billion cows on earth, according to statista.com, there are 989.03 million billion cows on earth in 2019. according to the genus on the quora, you can make 1200 burger from 1 cow, so 989,030,000*1200
sign, 1.186836e+12.
How can you show that 20% of $165.00 is $33.00?
Can someone help me please thanks
Answer:
True
Step-by-step explanation:
0.20*165=33
Answer:
With the definition of percentage. 20% of something means multiplying it by 20 and then dividing the result by 100. In our case, [tex]165.00 \times 20 \div 100 = 33.00[/tex]
Alternatively, convert it into a fraction. 20 is 1/5 of 100 (alternatively, you need to pick 20 five times to get 100), and then you just multiply
[tex]165.00 \times \frac15 = 33.00[/tex]
13 men can weave 117 baskets in a week how many men will need to be 189 baskets in 3days
Answer:
49 men will be required to weave 189 baskets in 3 days.
Answer:
49 men required
Step-by-step explanation:
como resuelvo (×-8)(×+8
Answer:
The answer is zero(0) because x is the same and -8 + 8 would equal 0
Step-by-step explanation:
72.7/30 simplified
And 42.7/30 simplified
Answer:
(1.)2.423
(2.) 1.423
Step-by-step explanation:
is (5,9) a solution to y=3x-6? Explain or show how you know.
Answer:
Yes
Step-by-step explanation:
Plug in the coordinate (5,9) into the equation
9=3(5)-6
9=15-6
9=9
The acceleration of a Maserati (sports car) is proportional to the difference between 250 km/h and its velocity. If the car can accelerate from rest to 100 km/h in 10 s, how long will it take for the car to accelerate from rest to 200 km/h?
Answer:
a) The differential equation for the velocity is given by
(dv/dt) = k(250 - v)
b) v(t) = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
Step-by-step explanation:
Acceleration, a ∝ (250 - v)
But acceleration is widely given as dv/dt
(dv/dt) ∝ (250 - v)
(dv/dt) = k(250 - v)
where k = constant of proportionality
(dv/dt) = k(250 - v)
b) (dv/dt) = k(250 - v)
dv/(250 - v) = k dt
∫ dv/(250 - v) = ∫ k dt
- In (250 - v) = kt + c (where c is the constant of integration)
v(0) = 0; meaning, at t = 0, v = 0
- In 250 = 0 + C
c = - In 250 = - 5.52
- In (250 - v) = kt - 5.52
In (250 - v) = 5.52 - kt
250 - v = e⁽⁵•⁵² ⁻ ᵏᵗ⁾
v = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
i hope this work for you
and sory if im wrang
A cylinder has a height of 9 meters and a radius of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1808.64
Step-by-step explanation:
Given parameters:
Height of cylinder = 9 meters
Radius = 8 meters
To Find:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
9(3.14)8^2=1808.64
[RevyBreeze]
Solution:
Given:
Height of cylinder = 9 metersRadius of cylinder = 8 metersRecall that the volume of the cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.
[tex]\bullet \rightarrow \pi r^{2} h = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (\pi)(r^{2})( h) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (3.14)(8^{2})( 9) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (3.14)(64)( 9) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow \boxed{1808.64 \ m^{2} = \text{Volume of cylinder}}[/tex]
A fair six-sided die is rolled and then a coin is flipped twice.
Calculate the probability of getting a 2 on the die followed by two heads from the
coin.
Give your answer as a fraction in its simplest form.
Answer:
1/24
Step-by-step explanation:
First, we need to create a sample space to list the possible outcomes.
S = {1HH, 1HT, 1TH, 1TT, 2HH, 2HT, 2TH, 2TT, 3HH, 3HT, 3TH, 3TT, 4HH, 4HT, 4TH, 4TT, 5HH, 5HT, 5TH, 5TT, 6HH, 6HT, 6TH, 6TT}
No. of total outcomes = 4 x 6 = 24 outcomesOnly one outcome has getting a 2 on the die followed by two heads on the coinP(2 on die, then two heads) = 1/24Solution :-
1/24
As shown in the figure below, Amanda is looking at a tree that is leaning at an angle of 79° with respect to the ground. The angle of elevation from where
Amanda is standing to the top of the tree is 43°. The length of the tree is 66 feet. Find the distance, x, from Amanda to the base of the tree. Round your answer
to the nearest tenth of a foot.
661
feet
х
x
5
2
?
Answer:
3 plus 2 is 5
Step-by-step explanation:
the f tear is known to you
Does anyone know the answers to these riddles?
Answer:
1. Something along they will cheetah (kind of like they will cheat)
2. Because it was a boxer
Answer:
1. They might be cheetahs!
2.Becasue it was a boxer!
Step-by-step explanation:
Hope this helps!
Brainliest is appreciated!
Have a great day!
~Mitsuna
What is the y-intercept of 5x+4y=−40 ?
A.(8,−10)
B.(0,−10)
C.(0,8)
D.(−10,0)
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 4y = - 40 ( subtract 5x from both sides )
4y = - 5x - 40 ( divide all terms by 4 )
y = - [tex]\frac{5}{4}[/tex] x - 10 ← in slope- intercept form
with y- intercept c = - 10 ⇒ (0, - 10 ) → B
Step-by-step explanation:
To find the y intercept of the line we must first write the equation in standard form which is
y = mx + c
where
m is the slope
c is the y intercept
So we have
5x + 4y = - 40
4y = -5x - 40
Divide both sides by 4
We have the equation as
[tex]y = - \frac{5}{4} x - 10[/tex]
From the question the y intercept is - 10
We have the final answer as
( 0 , - 10)Hope this helps you
The L.C.M of 15 and 25 is what?
Answer:
75 is the l.c.m of 15 and 25
explanation:
multiples:
15 - 15, 30, 45, 60, 75
25 - 25, 50, 75
Therefore, 75 is the l.c.m of 15 and 25 which is divisible by both numbers.
Answer:
75
Step-by-step explanation:
Prime factorization
15 = 5 x 3
25 = 5²
LCM (15, 25) = 5² x 3
= 25 x 3
= 75
help asap!! just need it checked!
Answer:
Step-by-step explanation:
correct-
Answer:
It's wrong the first answer is correct
Lesson 1 starts at 8:35 and each lesson lasts 60 minutes. There are 4 lessons and there is a 15 minute break between lesson 2 and 3
CAN ANYONE ANSWER MY QUESTION ASAP The diameter of a cylinder is 5 yd. The height is 4 yd. Find the VOLUME of the cylinder
Answer:
78.54 (rounded to 2 d.p)
Step-by-step explanation:
The formula for the volume of cylinder is πr(squared)h
Radius is half of the diameter so 5/2 = 2.5
The height is 4
Therefore,
π x 2.5 x 4 = 78.53982
What is the slope of the line that passes through the points (–1, 3) and (5, 7)?
Answer:
6/4 or 1.5
Step-by-step explanation:
If the graph of f(x)=x2, how will the graph be affected if the coefficient of x2 is changed to 3?
Answer:
435
Step-by-step explanation:
Transformations are used to change the orientation of a function to a new function. The graph of [tex]f(x) = x^2[/tex] will have its parabola widened when it changes to [tex]g(x) = 3x^2[/tex]
Given that
[tex]f(x) = x^2[/tex]
If the new function is:
[tex]g(x) = 3x^2[/tex]
It means that f(x) has been vertically translated by a scale factor of 3.
The graph will be affected such that the parabola of [tex]f(x) = x^2[/tex] will become widen when the coefficient changes to 3 i.e. [tex]g(x) = 3x^2[/tex].
See attachment for the graph of f(x) and g(x)
Read more about function transformation at:
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