Answer:
90
Step-by-step explanation:
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir
The probability of winning the jackpot is 1/32728332.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).
Total number of white balls = 43
Number of combinations of selecting 5 from 43 = 43C₅
= 43! / (5! × 38!)
= 962598
Total number of gold balls = 34
Number of combinations of selecting 1 from 34 = 34C₁
= 34
Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332
There is only 1 way for which the player wins the jackpot.
Probability of winning the jackpot = 1/32728332
Hence the required probability is 1/32728332.
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(a) Points and are shown on the number line. Part A Find the distances between points and and between points and . Show your work or explain your answers. Refer to the number lint in your explanation. Enter your answers and your work or explanation in the box provided.
Step-by-step explanation:
Im donating points thank you
Answer:
do you have a graph? we can't do it unless you have one.
please help i have been stuck on this for 3 hours
Answer:
The one you selected is the correct one
Answer:
(5/7) x 56 = 40 is correct
Step-by-step explanation:
How have you been stuck on this for 3 hours
85% of x is 51. Write an equation that represents the situation.
Answer:
85/100*x=51
Step-by-step explanation:
85x=5100
Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
The solution to the matrix equation ...
[tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]
is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.
[tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]
Can someone please help me with this!
Answer:
It's Positive
Step-by-step explanation:
Which graph represents this system? y=5x+3 3 y=zx-1
Answer:
where's the two graphs
Step-by-step explanation:
where are the two graphs that we need to choose from??
Answer:
[tex]y = 5x + 3[/tex]
[tex]3y = zx - 1[/tex]
Step-by-step explanation:
PLEASE SOMEONE HELP I WILL GIVE BRAINLIEST
(Look at the picture)
The similarity ratio of two similar triangles is equal to the ratio of their corresponding sides :
Similarity ratio = BA / GF = BC / GH = CA / HF
Similarity ratio = 18 / 9 = 14 / 7 = x / 6
x / 6 = 2
multiple sides by 6
6 × x / 6 = 6 × 2
simplification
x = 12
Anya bought some cans of paint. She used 9 of them to
paint the house and had 23 left. Write an equation, that
when solved, will tell how many cans of paint, p, that Anya
bought?
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answer: 13
Step-by-step explanation: Hope this help :D
eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number
Answer:
The number is 4
Step-by-step explanation:
Let the number = 'x'
Reciprocal of 'x' = 1/x
Reciprocal of 2 = 1/2
8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]
[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]
Now multiply both sides by x
[tex]8*\frac{1}{x}*x = 2*x\\\\8 = 2x[/tex]
Now divide both sides by 2
[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]
x = 4
Can someone help me pls
Answer:
Oops, didn't mean to answer because I already answered this one.
Step-by-step explanation:
simplify 14x(7xy^14)(-9x^-7 y^-3)
Answer:
-882y^11/x^5
Step-by-step explanation:
please help
Find the missing side of this right
triangle.
X
7
12
X
= [?]
Answer:
√193
Step-by-step explanation:
pathagorus theorem:
[tex]( {hyp})^{2} = ( {base)}^{2} + ( {perp)}^{2} [/tex]
hyp=x , base= 12 , perp= 7
subtitles all values in formula:
we get
x^2 = 12^2 + 7^2
x^2 = 144 +49
x= √193
The missing side of this right triangle is, 13.90 units.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The base of the triangle = 12
The perpendicular distance of the triangle = 7
Now, We know that;
Pythagoras theorem stated as;
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ x² = 12² + 7²
⇒ x² = 144 + 49
⇒ x² = 193
⇒ x = √193
⇒ x = 13.90
Thus, The missing side of this right triangle is, 13.90 units.
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RS= 4y+2, ST = 3y+8, and RT = 38 what is the value of y
Answer:
y = 4
Step-by-step explanation:
Given that,
RS= 4y+2, ST = 3y+8, and RT = 38
We need to find the value of y.
As,
RT = RS+ST
Put all the values,
38 = 4y+2+3y+8
38-2-8 = 4y+3y
28 = 7y
y = 4
So, the value of y is equal to 4.
X Х C Department of Education Exit 13-2: Practice Buddy: Independent Practice; Problem Solving 13.2.IP-22 Diogo and his 4 friends want to share the cost of a meal equally. They order 2 large pizzas and 5 small drinks. If they leave a tip of $6.80, how much does each person pay?
Answer:they pay by yeezys
Step-by-step explanation:
what is the range of the following data set?
Answer: The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
1. Simplify the expression below.
2(x + 2) + 3(-x-7) -5 ( 2x - 4)
Answer: -11x+15
Step-by-step explanation: distributed property: 2x+2-3x-7-10x+20, -11x+15
these questions seem harder than usual im sorry for the bother
Answer:
A
Step-by-step explanation:
How much soup, to the nearest tenth of a cubic unit, can fit in a cylindrical can that is 8 inches tall and has a diameter of 6 inches?
Answer:
Step-by-step explanation:
A company that manufactuers small canoes has a fixed cost of $14,000. It cost $40 to produce each canoe. The selling price is $80 per canoe
Answer:
The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Step-by-step explanation:
Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:
14/000 / 40 = X
350 = X
350 x 80 = 28,000
Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Question:
Simplify. √(36)²
Answer:
36
Step-by-step explanation:
sqrt(36)^2
36
I hope this helps
In AFGH, FG – HF and mZF = 56°. Find m_H.
Answer:
m<H = 62°
Step-by-step explanation:
If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.
Given that m<F = 56°, therefore:
56° + 2(m<H) = 180° (sum of triangle)
2(m<H) = 180° - 56°
2(m<H) = 124°
m<H = 124/2
m<H = 62°
Tutoring Question Help
A person is taking a 5-question multiple-choice test for which each question has three answer choices, only one of which is correct. The person decides on answers by
rolling a fair die and marking the first answer choice if the die shows 1 or 2 the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability that the
person gets fewer than 3 correct answers.
The probability that the person gets fewer than 3 correct answers is
(Round to three decimal places as needed.)
Solving a word problem on proportions using a unit rate
Alonzo drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 469 miles?
Answer:
7 hours
Explanation:
Divide 5 and 335 then multiply by 469
because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles
5 / 339 × 469 =7 hours
Find the values of the variable In The figure
Answer:
A. 18
Step-by-step explanation:
Sum of the measures of all the angles of a quadrilateral is 360°
Therefore,
[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]
Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109
Answer:
EF is 109
DAB is 54.5
Step-by-step explanation:
Applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°What is the Central Angle Theorems?The central angle theorem states that:
Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arcThus:
Measure of minor arc EF = m∠ECF = 109°
m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]
m∠DAB = 54.5°
Therefore, applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°Learn more about central angle theorem on:
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The figure below is a scale drawing of a
rectangular ball room. The scale is 2 cm:4
m.
6 cm.
12 cm.
What is the area of the actual room?
A. 72 m²
B. 144 m2
C. 288 m
D. 576 m
Answer:
Area of the actual room = 288 m²
Step-by-step explanation:
Given:
Scale factor = 2cm to 4 m
Dimension of rectangle ball room = 6 cm and 12 cm
Find:
Area of the actual room
Computation:
Actual dimension of rectangle ball room;
⇒ [6/2]4 = 12 m
⇒ [12/2]4 = 24 m
Area of rectangle = Length x Width
⇒ Area of the actual room = Actual length x Actual width
⇒ Area of the actual room = 12 x 24
Area of the actual room = 288 m²
Volume by multiplying area of base times height
Answer:v= x a h add then multiply
Step-by-step explanation:
Solve the following equation: *
Answer:
Step-by-step explanation:
x/3 + 6 = 17
Bringing like terms on one side
x/3 = 17 - 6
x/3 = 11
Dividing by 3 on both sides
x = 11/3