Identify if it's an independent or dependent event and write the probability as a fraction * What is the probability that from a normal 52 card deck, you randomly draw a 3, and then without replacing the 3, you draw the Queen of Hearts?
Answer: 0.151 percent
Step-by-step explanation:
The probability of any particular outcome is
(number of possible successful outcomes) / (number of total possibilities)
-- On the first draw, there are 52 possible total outcomes, and
only 4 that are successful ... drawing a 3 .
The probability of drawing a 3 from a full deck is ( 4 / 52 ).
-- On the second draw, there are 51 possible total outcomes (the first
card you drew stayed out), and only one is successful ... drawing the
queen of hearts.
The probability of this particular outcome is ( 1 / 51 ).
-- The probability of both of them is
( 4 / 52 ) x ( 1 / 51 ) =
( 4 / 2,652 ) = about 0.151 percent.
Fatimah wants to estimate the proportion of students at her school who ate breakfast every day last week. She
takes an SRS of 80 of the 1000 students at her school and finds that 20 of those sampled ate breakfast every
day last week.
Based on this sample, which of the following is a 95% confidence interval for the proportion of all students at
the school who ate breakfast every day last week?
Choose 1 answer:
20+ 0.080
20 + 0.095
0.25 +0.080
Answer:
Answer:
0.25±0.095
Step-by-step explanation:
P^= 20/80=.25
sample size n= 80
z*=1.96
p^± sqr(p^(1-p^)/n)
=0.095
Step-by-step explanation:
The 95% confidence interval for the proportion of all students at the school that ate breakfast every day last week is 0.25 +0.080.
Given thatFatimah wants to estimate the proportion of students at her school who ate breakfast every day last week.
She takes an SRS of 80 of the 1000 students at her school and finds that 20 of those sampled ate breakfast every day last week.
We have to determineBased on this sample, which of the following is a 95% confidence interval for the proportion of all students at the school that ate breakfast every day last week?
According to the questionShe takes an SRS of 80 of the 1000 students at her school and finds that 20 of those sampled ate breakfast every day last week.
[tex]\rm P = \dfrac{Sample \ space}{Total \ SRS}\\ \\ P = \dfrac{20}{80}\\ \\ P = \dfrac{1}{4}\\ \\ P = 0.25[/tex]
Therefore,
The 95% confidence interval for the proportion of all students at the school that ate breakfast every day last week is
=[tex] = 1.96 \times \sqrt{\dfrac{0.25(1-0.25)}{80}}\\ \\ = 1.96 \times \sqrt{\dfrac{0.25\times 0.75}{80}}\\\\ = 1.96 \times 0.40\\\\ = 0.080[/tex]
Hence, The 95% confidence interval for the proportion of all students at the school that ate breakfast every day last week is 0.25 +0.080.
To know more about Confidence intervals click the link given below.
https://brainly.com/question/15682003
Kirsten has an area of 70 square feet for a flower garden. She plants 5 varieties of flowers
equally in her garden. Which ratio shows the square feet per flower type?
If L(2, 7) is an endpoint of a line segment, and M(8, 3) is the midpoint, find the other endpoint of the segment.
Answer:
Step-by-step explanation:
From L to M,
change in x-coordinates = 8-2 = 6
change in y-coordinates = 3-7 = -4
Extrapolate from M(8,3) to find the other end of the segment:
8 + 6 = 14
3 - 4 = -1
Endpoint of segment: (14,-1)
If you get this you will get 30 points 2•2•2•2=
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
2×2=4 4×2=8 8×2=16 you multiply each answer by 2
You have a savings account that has an annual interest rate of 6%, interest is compounded monthly. The
following transactions take place:
1. You deposit $3,000 into the account.
2. After 2 total years, you deposit $2,000
3. After 4 total years you deposit $900
What is the amount in the account after 5 total years?
Answer:
i dont know mabey some one else knows
Find the volume of the figure of 7 inches, 21 inches and 15 inches.
Answer:
2,205 cubic inches
Step-by-step explanation:
The volume of the rectangular prism pictured below is 520 cm3. The area of the base of the prism is 80 cm What is the height of the prism? A. 440 cm A. 440 cm, , B. 600 cm B. 600 cm, , , , C. 65 cm C. 65 cm, D. 6.5 cm
Answer:
520 divided by 80 = 6.5
Step-by-step explanation:
In order to find a height you must divide the total area by the given length.
after one side of a square was enlarged by 3 inches and the other side was enlarged by 3 inches, the area of the shape was doubled. what was the side of the square.
Answer:
The side of original square was 7.24 inches
Step-by-step explanation:
(x+3)(x+3) =2(x)(x)
x² + 6x + 9 = 2x²
reduce:
x² - 6x - 9 = 0
(x + 1.24)(x - 7.24) = 0
x = 7.24
Roger and Mary have an online account for buying movies. Roger's account balance is -$25
and Mary's is -$10. Who owes more money?
Answer:
Rodgers simply because owing 25 dollars is more than 10
Its number 1. 10 Points to answer
Answer:
21=y3
Step-by-step explanation:
I hope this helps you. let me know if I am wrong
I put a screenshot, you do the math
Answer:
= 1.156 × 10^9
(scientific notation)
= 1.156e9
(scientific e notation)
= 1.156 × 10^9
(engineering notation)
(billion; prefix giga- (G))
= 1156000000
Step-by-step explanation:
Simply subtract A from B = 1,156,000,000 and convert the answer to scientific notation.
Answer:
D. 1.156 times 10^9
First we subtract the difference,
1,300,000,000 - 144,000,000 = 1156000000
Next, we find the number 1156000000 written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 115,600,000
New Number: 1.15600000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 1 5 6 0 0 0 0 0
Decimal Count: 1 2 3 4 5 6 7 8
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 1.156 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
1.156 x 108
Step 4
Check your work:
108 = 100,000,000 x 1.156 = 115,600,000
Thus, 115,600,000 written in scientific notation is 1.156 times 10^9 estimated.
Please guys help with me Division app recommend
Answer:
What is your question
Step-by-step explanation:
What is the value of the expression with g=1.5? 5g^2
Answer:
15
Step-by-step explanation:
What is the median of the following numbers?
3.31,37,56, 61,57,62
Answer:
The answer might be 56 because the median is the middle of it
can anyone help pls ??
Graphically, a point is a solution to a system of two inequalities if and only if the point
lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
lies in the shaded region of the battom inequality, but not in the shaded region of the top inequality.
lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.
9514 1404 393
Answer:
(c) lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
A point that is a solution to the system must be a solution to all of the inequalities in the system. It must lie in the shaded regions of both.
Pls answer 1 and 2. I need this asap
Answer:
hi jjojnbpoinopino
Step-by-step explanation:
0ionoujniuiuninioujnoinjnuioulij
At a glass vase store, 8 out of the last 20 vases shipped were chipped.
What is the experimental probability that the next vase shipped will be chipped?
Answer:
Step-by-step explanation: I have no idea
Question 1 The solution to 5 - 3x > 35 is either r > -10 or -10 > 2. Which solution is correct? Explain how you know. Edit View Insert Format Format Tools Table 12pt Paragraph BI U AY 2 T?
Answer:
x < -10
Step-by-step explanation:
Given the inequality 5 - 3x > 35
Subtract 5 from both sides
5 - 3x - 5> 35 -5
-3x > 30
Divide both sides by -3
-3x/-3 < 30/-3
x < -10 (note the change is sign)
hence the correct solution is x < -10
A zoo-keeper has 9 gorillas and 12 monkeys. He wants to keep the ratio of gorillas to monkeys the same. If the zoo-keeper buys 3 more gorillas, how many more monkeys will he need to buy?
Answer: He would have to buy no more monkeys because if he buys 3 more gorillas the ratio would be equal
Answer:
12:15
Step-by-step explanation:
9:12
9+3:12+3
12:15
What was the primary reason why England, France, and Spain wanted to keep colonies in America and Haiti
Answer:
England looked at the settlement of colonies as a way to sell more goods and resources to other countries than it bought.
Step-by-step explanation:
In ΔMNO, the measure of ∠O=90°, MN = 99 feet, and OM = 52 feet. Find the measure of ∠M to the nearest degree.
Answer:
58 is the answer I got and I think it should be right but yeah math is confusing sometimes lol
Answer:
58
Step-by-step explanation:
in a mixture of one hundred liter of milk ans water 4:1 ratio of milk and water where is ratio of milk to water in the new mixture when 25% of the mixture is removed and the same amount of water is added?
Answer:
The milk to water ratio in the new mixture is 3:2.
Step-by-step explanation:
Given that in a mixture of one hundred liters of milk and water the ratio of milk and water was 4: 1, to determine what is the ratio of milk to water in the new mixture when 25% of the mixture is removed and the same amount of water is added, the following calculation must be performed:
(100/5) x 4 = 80
80 liters of milk
20 liters of water
80 x 0.75 = 60
20 x 0.75 = 15
15 + 25 = 40
60 + 40 = 100
Thus, the milk to water ratio in the new mixture is 3:2.
Question 9 (5 points) Factor 98zy2 – 50z. O A) 298y + 25)(y + 2) B) 227y - 5)(7y - 5) C) 227y + 5)7y - 5) D) 249y - 5)(y + 5)
Answer:
i think it might be D
Step-by-step explanation:
..
The following data shows the quarterly profit (in thousands of dollars) made by a particular company in the past 3 years.
Year Quarter Profit ($1000s)
1 1 45
1 2 51
1 3 72
1 4 50
2 1 49
2 2 45
2 3 79
2 4 54
3 1 42
3 2 58
3 3 70
3 4 56
Required:
a. Construct a time series plot. What type of pattern exists in the data?
b. Develop a three-period moving average for this time series. Compute MSE and a forecast of profit (in $1000s) for the next quarter.
Answer:
208.82 ; 61.33
Step-by-step explanation:
Given the data:
Year Quarter Profit ($1000s)
1 1 45
1 2 51
1 3 72
1 4 50
2 1 49
2 2 45
2 3 79
2 4 54
3 1 42
3 2 58
3 3 70
3 4 56
The 3 period moving average :
Yr Qtr Profit ($1000s)Pt ____ Ft ____ e=(PT-Ft)²
1 _ 1 ___45 __
1 _ 2 __ 51 __
1 _ 3 __ 72 __
1 _ 4 __ 50 ______________56 ____ 36
2 _ 1 __ 49 ______________57.67__ 75.17
2 _ 2__ 45 ______________57 ____ 144
2 _ 3__ 79 ______________48 ____961
2 _ 4__ 54 ______________57.67 _ 13.47
3 _ 1__ 42 ______________59.33__300.33
3 _2 __ 58 ______________58.33__ 0.11
3 _ 3__ 70 ______________51.33__ 348.57
3 _ 4 __56 ______________56.67__0.45
MSE = Σ(Pt - Ft)² ÷ n
MSE = (36+75.17+144+961+13.47+300.33+0.11+348.57+0.75) ÷ 9
= 208.82
Forecast for next quarter :
(58 + 70 + 56) / 3 = 184 /3 = 61.33
Maria has $180. She needs a total of
$2000 to start an account with the bank.
She earns $60 per day working, of which
she saves $50. Which equation can she
use to determine the number of days, d
she needs to work to reach her goal of
$2000?
Answer:
C (The one before the last one)
Step-by-step explanation:
2000 = 180 + 50d
She already has 180
Plus the $50 she saves each day (d)
2000 is the goal, or what we want it to equal.
How do you find the fraction between 9/5 and 10/5?
Answer:
Step-by-step explanation:
to do something like this, you could just multiply both sides by 2. So now, you have 18/10, and 20/10. The one in between that would be 19/10
find the geometric mean of 2 and 72
Answer:
2*72=144
square root of 144 is 12
Step-by-step explanation:
The geometric mean of 2 and 72 is the square root of their product, or 12
Answer:
2*72=144
Step-by-step explanation:
The numbers of points scored in each basketball game are 49, 36, 61, 64, 39, 41, 43, and 39.
In what percent of the games were at least 55 points scored?
Answer:
In 25% of the games at least 55 points were scored.
Step-by-step explanation:
Percentage:
Number of desired outcomes multiplied by 100 and divided by the number of total outcomes.
In this question:
8 total games
In 2 at least 55 were scores.
100*2/8 = 100/4 = 25%
In 25% of the games at least 55 points were scored.