Answer:
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
Suppose we have two events, A and B, that are independent. The probability of both happening is given by:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
Event A: Selecting a prime number.
Event B: Selecting a number less than or equal to 3
Probability of selecting a prime number:
Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So
[tex]P(A) = \frac{4}{10}[/tex]
Probability of selecting a number less than or equal to 3:
Three numbers(1,2,3) out of 10. So
[tex]P(B) = \frac{3}{10}[/tex]
Probability of both:
[tex]P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12[/tex]
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
6x + 4 = X + 24
Can some one plz help me with this problem
Answer:
x=4
Step-by-step explanation:
you have to get x on one side so x=4
Answer:
x=4
Step-by-step explanation:
combine the like terms beside eachother so it would be
6x-x=24-4
5x=20
then move the 5 and divide
x=20/5
x=4
-3xy-x²y²+1 is evaluated when x=-1 and y=-1 , then what is the exact value ?
Answer:
-3
Step-by-step explanation:
-3(-1)(-1)-(-1)^2(-1)^2+1
=-3
hopes this helps?!?!
Answer -2
Step-by-step explanation:
-3(-1)(-1)-(-1)^2(-1)^2+1
-3-1+1+1
-4+2
=-2
Find sin (E) given the triangle.
Someone pls help me wit this I’m so confused
Answer: 75.75°
Step-by-step explanation:
Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.
sin(Ф) = 12.6/13
Take the inverse sine of both sides, this requires a calculator.
Ф = 75.75°
Larry made 2.5 liters of orange juice and drank 750 milliliters of it. How much orange juice is left?
Answer:
1.75 liters is left
Step-by-step explanation:
1ml is 1000ml
Answer:
1,750 milliliters left.
Step-by-step explanation:
2.5 liters equal 2,500 milliliters. So u do 2,500 - 750 which gives you 1,750
1) Sam bought a soft drink for 4 dollars and 7 candy bars. He spent a total of 39 dollars. How much did each candy bar cost ?
Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24
Answer:
$7.96
Step-by-step explanation:
20 - 10.24 = 9.96 - 2 = $7.96
calculate the area of this triangle 18cm, 14cm and height is 11cm
Answer : 99cm^2
Hope this helps
The area of the triangle with a height of 11 cm and a base of 18 cm is,
99 cm².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We also know,
The way of classifying a triangle,
If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
The area of a triangle is half times the product of the height and base.
The given triangle has a height of 11 cm and a base of 18 cm.
Therefore, The area of the triangle is,
= (1/2)×18×11 cm².
= 99 cm².
learn more about triangles here :
https://brainly.com/question/2773823
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This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 3 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
(I don't know if this is the method you are supposed to use, but I believe you will still get the same answer!)
Answer: 20 g butter, 10 g sugar, 30 g flour
Step-by-step explanation: First off, if we look at 3 and 18, you notice that three is a factor or 18, going into the number 6 times.
So, if you are making 6 times less of the original amount, divide each measurement by six to give you your answer.
120/6 = 20
60/6 = 10
180/6 = 30
Simplify (use only positive exponents) : (3y^10)(2y^2)/8y^5
please explain how you did it so that I can understand what I'm doing <3
how do you know how many solutions are possible for a system of equations
Answer:
Step-by-step explanation:
If the slopes are the same but the y-intercepts are different, the system has no solution.
If the slopes are different, the system has one solution.
If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Answer:
Step-by-step explanation:
If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.
What is the sum of 4 1/2 + 5 1/2?
Answer:
10
Step-by-step explanation:
5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10
Does this expression represent the sum 13.76 + 2.8?
1 ten + 6 ones + 5 tenths + 6 hundredths
Answer:
True
Step-by-step explanation:
it all equals the same
Answer:
yes
Step-by-step explanation:
yes
Construct a frequency histogram for the distribution shown below
Class Frequency
6- 1212
13-194
20-26 20
27-33 7
34-40 16
Answer:
6
Step-by-step explanation:
what factors you think determines more earthquakes will occur in an area
Answer:
Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.
The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place
Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.
evaluate d+5-f if d +16 and f-18
Answer:
39
Step-by-step explanation:
d+5-f
Plug in the values of d and f
(16)+5-(-18)
Then simplify (Don't forget that since theres a double negative, that changes to a positive.)
21+18
39
Evaluate 7 + x(-3)
When x = -6
Answer: 25
Step-by-step explanation:
7 + -6(-3)
7 + 18 = 25
Answer:
25
Step-by-step explanation:
x= -6
7+ -6(-3)=
7+ (18)=25
25
-4n = 16 plssssssssssssssssssss help
Answer:
n would be -4
Step-by-step explanation:
(two negatives multiplied together make a positive)
-4n = 16
/-4 /-4
n = -4
Ariel has $181 saved towards the purchase price of a laptop. The laptop she wants to purchase cost $599. Ariel earns $9.50 an hour as a lifeguard. (I have to write an in…
¿*=£×**€×¿¿==£÷€=4÷54
Which equation represents a line which is parallel to the line
6x + 7y = –49?
Answer: y= 7/6x-5
Step-by-step explanation:
The equations of parallel lines have the same slope or rates.
The equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
The equation is given as:
[tex]\mathbf{6x + 7y = -49}[/tex]
Make 7y the subject
[tex]\mathbf{7y = -6x-49}[/tex]
Make y the subject
[tex]\mathbf{y = -\frac{6}{7}x -7}[/tex]
A linear equation is represented as:
[tex]\mathbf{y =mx + b}[/tex]
Where m represents the slope.
So, we have:
[tex]\mathbf{m = -\frac 67}[/tex]
Parallel lines have the same slope.
So, the slope of the line is [tex]\mathbf{m = -\frac 67}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
Substitute [tex]\mathbf{m = -\frac 67}[/tex]
[tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
Hence, the equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
Read more about parallel lines at:
https://brainly.com/question/402319
of equations to answer the questions.
2x + 3y = 3
y = 8 - 3x
The value of y from the second equation is substituted back into the first equation. What is the resulting eq
What is the value of x?
What is the value of y?
Da
The sum of eight and a number, x, is four.
Answer:
-4
Step-by-step explanation:
Which data collections show bias? Check all that apply.
D An English teacher polls the top-ten most avid readers to find their favorite books.
O An
insurance company polls drivers of sports cars to find their average number of tickets.
O A restaurant manager surveys every tenth customer for one week.
O An assistant principal surveys each student who is sent for discipline.
D A fundraiser organizer draws five names from a hat that contains all entries.
Answer:
An insurance company polls drivers of sports cars to find their average number of tickets.
Step-by-step explanation:
It’s bias because they’re only polling people with sports cars
What is the value of the expression below when x equals 4?
13 + 15x
Answer:
73
Step-by-step explanation:
Answer:
73
Step-by-step explanation:
13+15*4
13+60
73
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?
asking for the “x” in simplest form please help!!
Answer:
x = -0.441 and x = -2.359
Step-by-step explanation:
The given equation is :
[tex]2(5x+7)^2-13=33[/tex]
Adding 13 to both sides of the equation.
[tex]2(5x+7)^2-13+13=33+13\\\\2(5x+7)^2=46\\\\(5x+7)^2=23[/tex]
So,
[tex]5x+7=\sqrt{23}\\\\5x+7=\pm4.795\\\\5x=4.795-7, 5x=-4.795-7\\\\5x=-2.205, 5x = -11.795\\\\x=-0.441, x=-2.359[/tex]
So, the solution of the given equation is x = -0.441 and x = -2.359.
Find the midpoint of segment AB if A(-3, 8) and B (-7, -6).
Answer: (-5,1)
Step-by-step explanation: that should be right
Which of these numbers is equivalent to n n in this equation?
10 1/6 − n = 4 5/12
A: 6 4/6
B: 5 4/6
C: 5 3/4
D 5 1/12
Answer:
The answer is C
Step-by-step explanation:
5 3/4 + 4 5/12 is 10 1/6
Find the mean of the data 18,36,24,36,30,36
Answer:
30
Step-by-step explanation:
To calculate the mean, add up all the numbers in the data and divide the sum by the number of numbers in the data.
(18+36+24+36+30+36)/6 = 30.
Answer:
30
Step-by-step explanation:
To find mean, add up all the numbers, then divide by how many numbers there are:
18 + 36 + 24 + 36 + 30 + 36/6
180/6 = 30
Hope this helps :)
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
Luis and Erin are playing a game. They each start with 0 points.At the end of the game, Luis has 250 points, and Erin has
-250 points.
(A) Erin has lost 250 points.
(B) Luis has 250 more points than Erin.
(C) Erin and Luis have a total of 500 points.
(D) Erin and Luis have an equal number of points.
Answer:
A) Erin has lost 250 points.
Step-by-step explanation:
The reason A is correct is because Erin has -250 points, which means he went down or lost them.