Let's analyse both scenarios: for the first pick, you have 5 cards in total, of which 2 are red. So, you have a chance of 2/5 of picking a red card.
Now, assume you picked a red card with the first pick. The new scenario will be different, now there are only 4 cards in total (since you didn't replace the first picked card), of which only 1 is red. This means that you have a chanche of 1/4 of picking a red card.
Once you figured the probabilities of both events, if you want to compute the probability of the two events happening one after the other, you simply have to multiply them, so you have
[tex] \cfrac{2}{5} \cdot \cfrac{1}{4} = \cfrac{2}{20} = \cfrac{1}{10} [/tex]
Answer:
1/10 is the answer.
Step-by-step explanation:
For a car rental, the rental agency charges $21.00$21.00 per day, plus $0.23$0.23 for each additional mile above 125125. find a function for the cost of a rental where x is the number of miles driven.
The perimeter of a triangle is 29 feet where one side of the triangle is twice the length of the shortest side. the largest side is 13 feet more than the shortest side. how long is the shortest side
Answer:
The shortest side is 4 feet.
Step-by-step explanation:
The perimeter is the border of a geometric figure and corresponds to the sum of the length of all its sides.
So the perimeter in the case of a triangle is the sum of its three sides:
L₁ + L₂ + L₃ =Perimeter
In this case, the perimeter is known and it is necessary to calculate the value of the shortest side. In that case it will be called L₁. So, you know:
L₁= shortest sideL₂=twice the length of the shortest side → L₂=2*L₁L₃=largest side (13 feet more than the shortest side) → L₃=L₁ + 13Perimeter= 29 feetReplacing:
L₁ + 2*L₁ + L₁ + 13= 29
Solving:
(1+2+1)*L₁ + 13= 29
4*L₁ + 13=29
4*L₁ = 29-13
4*L₁ =16
L₁= 16÷4
L₁=4
The shortest side is 4 feet.
Rita earns $17.00 per hour. If she gets a 6% raise, what will be her new hourly wage?
multiply 17 by 6%
17 * 0.06 = 1.02 increase
17 +1.02 = 18.02 new hourly wage
State the vertex as an ordered pair.
y = -|3x +5|+7
14 minus the product of three and the number has 26
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how much money would you owe in taxes at the end of the year? Show your work.
Answer:
The tax would be $ 1,263.75
Step-by-step explanation:
Given,
Total earning in one year = $ 8,425,
Income tax percentage per year on earning = 15%
Hence, the amount of tax at the end of one year
= 15% of the total earnings
= 15% of 8425
[tex]=\frac{15\times 8425}{100}[/tex]
[tex]=\frac{126375}{100}[/tex]
= $ 1,263.75
In a study, the sample is chosen by writing everyones name on a playing card, shuffling the deck, then choosing the top 20 cards what is the sampling method
Simple random sampling is much better than others because it saves time and it is the most reliable method of obtaining information where every single member of the population is chosen randomly. or by chance. Each has an equal chance to be selected.
SamplingIt is a process applied in statistical analysis in which a predetermined number of observations is taken from a large population.
Given
The sample is chosen by writing everyone's name on a playing card, shuffling the deck, then choosing the top 20 cards.
To find
The sampling method for this condition.
How to choose the sampling method?So, simple random sampling is much better than others because it saves time and it is the most reliable method of obtaining information where every single member of the population is chosen randomly. or by chance. Each has an equal chance to be selected.
More about the sampling link is given below.
https://brainly.com/question/350477
Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?
Answer:
[tex]y=-3x+14[/tex], slope intercept form
[tex]3x+y =14[/tex], standard form
Step-by-step explanation:
[tex]y + 1 = -3(x - 5)[/tex]
We need to write the given equation in slope intercept form or standard form
slope intercept form is [tex]y=mx+b[/tex]
To get slope intercept form , we need to get y alone
[tex]y + 1 = -3(x - 5)[/tex] ( multiply -3 inside the parenthesis )
[tex]y+1=-3x+15[/tex] , subtract 1 on both sides
[tex]y=-3x+14[/tex]
Standard form is [tex]Ax + By = C[/tex]
To get standard form we keep x term and y term on the left hand side
[tex]y=-3x+14[/tex]
Add 3x on both sides
[tex]3x+y =14[/tex]
Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving is 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for this first 4 hours of the trip and her dad to drive for the remainder of the trip
Final answer:
To determine how long Loretta's father drives, we deduct the distance Loretta drives (220 miles) from the total trip distance, then divide the remainder (390 miles) by her father's average speed (65 mph), resulting in 6 hours of driving time for her father. The total trip time is 10 hours.
Explanation:
The question is about calculating travel times and distances using average speed. Loretta and her family are traveling 610 miles with Loretta driving the first 4 hours of the trip at 55 mph and her dad driving the remainder at 65 mph. To calculate the distance Loretta drives, we multiply her driving time by her average speed (4 hours * 55 mph = 220 miles). Then, we subtract that distance from the total trip distance to find out how far her dad drives (610 miles - 220 miles = 390 miles). To calculate how long her dad drives, we divide his driving distance by his average speed (390 miles / 65 mph).
Now let's solve the dad's driving time:
390 miles / 65 mph = 6 hours. So, Loretta's dad would drive for 6 hours. The total driving time for the trip is the sum of both Loretta's time and her dad's time: 4 hours + 6 hours = 10 hours.
Choose all of the following relationships that represent functions. please help!!
The answers are B and C
C;
A number cube is rolled 25 times. A number less than four comes up 20 times. What is the experimental probability that a number less than four is rolled?
a number less than four came up 20 out of 25 rolls
so the probability was 20/25 which reduces to 4/5
PLEASE ANSWER WORTH 99 POINTS
Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?
80 x 3
80 divided by 3
3 divided by 80
80 - 3
Liz wants to buy a shirt for $25. How much will Liz's shirt cost in Springfield(4.1%) Round up to the nearest cent? Show your work
How many solutions are there to the following system of equations? Use any method you like, but be sure to show all work.
4x – 14y = 6
–2x + 7y = –3
Please please help! I'm really bad at this! Please show your work so I can understand
What is the percent increase from 42 acres to 72acres
I NEED HELP SOOOO MUCH IM SOOO LOST I WILL GIVE A BRAINLIEST TO THE PERSON WHO INCLUDES ALL WORK, CORRECT ANSWER,AND EVERYTHING MAKES SENSE.
(Variables on both sides of an equation)
Solve: 5(a-1)-15=3(a+2)+4
Compare the square root of 7 and 2.1
the quotient of two numbers subtracted from 20
Use laws of sine to answer
In a dilation, the ratio of the length of a side on the image to the length of its corresponding side on the pre-image is called the __________ __________.
A. center of dilation
B. scale factor
C. mapping rule
D. expansion or contraction
Plz some one help!!!!!!!
Suppose an amount increase by 100%, then decreases by 100%. Find the final amount.Would the situation change if the original increase was 150%? Explain your reasoning.
I will give you 10 points if you help me
Help me solve this plzz!!Simplify:
Use k as the constant of proportionality to write the equation expressing the relationship: y varies inversely as x.
If y = 25 and k = 50, what is x?
1/2
2
1,250
Answer: 2
Step-by-step explanation: i got it right :)
Suppose △ ITH ≅ △ APG
Which congruency Statement is true?
A) IH ≅ AG
B) TH ≅ AG
C) IT ≅ AG
D) TH ≅ AP
Answer: A) IH ≅ AG
Step-by-step explanation:
A property of congruent triangles is known as CPCTC which says that the congruent parts of the corresponding triangle are congruent.
We are given that Δ ITH ≅ Δ APG , then the every part of Δ ITH must be congruent to the corresponding part of Δ APG.
i.e. Corresponding sides of Δ ITH and Δ APG are congruent.
Since Side IH in Δ ITH is corresponding to side AG in Δ APG [First and last letter]
Then, IH ≅ AG
Please help me with this
for an isosceles right triangle the legs would be 2 times the square root of the hypotenuse
so for this:
the legs would be 2sqrt(10)
Anna has 5 muffins but 8 friends coming over. How much will each friend get
Light travels 9.45 \cdot 10^{15}9.45⋅10 15 9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. there are about 3.15 \cdot 10^73.15⋅10 7 3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year. how far does light travel per second?
We are given that the distance light travel is:
9.45 x 10^15 meters / year
And that there is:
3.15 x 10^7 seconds / year
So the distance light travels per second is:
distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)
distance = 3 x 10^8 meters / second
The distance of the light travel per second is 3 x 10^8 meters/second
We are given that the distance light travel is
9.45 x 10^15 meters / year
And that there is
3.15 x 10^7 seconds / year
So the distance light travels per second is:
What is the distance light travels per second?It is defined as the distance that light travels in free space in one second.
Therefore we get,
distance = (9.45 x 10^15 meters / year) * (1 year / 3.15 x 10^7 seconds)
distance = 3 x 10^8 meters / second.
Therefore the distance of the light is 3 x 10^8 meters/second.
To learn more about the distance of the light visit:
https://brainly.com/question/9624014#SPJ3
You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?
P=(20+0.5x)+ 0.15(20+0.5x)
The areas of: FGHM is 12, MHIJ is 36, EFNL is 24, LNJK is 48. EGIK is a rectangle cut into the rectangles with given areas. What is the area of the shaded quadrilateral EMIN?