If random variable X has a binomial distribution with n=15 and P(success) =p= 0.6, find the mean of X. That is, find E(X). Round to the whole number. Do not use decimals. Answer:
Answer:
9
Step-by-step explanation:
E(X) = np
E(X) = (15) (0.6)
E(X) = 9
The mean of the X is 9.
What is the mean of the binomial distribution?The mean of a binomial distribution is the expected value (long-run average) of the number of successes in the given number of trials.
Formula for calculating mean of binomial distribution[tex]\mu_{x} = n.p[/tex]
where,
[tex]\mu_{x}[/tex] is the mean of the binomial distribution
n is the number of trials
and, p is the probability of success
According to the given question.
We have
Number of trials, n = 15
Probability of success, p = 0.6
Therefore, the mean of X is given by
[tex]E(X) = 15(0.6)[/tex]
⇒ [tex]E(X) = 9[/tex]
Hence, the mean of the X is 9.
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During a recent beetle infestation, two-thirds of the ash trees in the area were destroyed. If 130 trees were destroyed, how many ash trees were originally in the area?
Answer:
195 Trees
Step-by-step explanation:
2/3 is just 2 of 3 parts
2 parts of the trees is 130,
so divide 130 by 2, and that's 65.
Since you know 65 + 65 is the same as 2 out of 3
Then just add 65 one more time to equal 195.
Since, 65*3 is the same as saying 1 * 3 parts
130 is equal to 2/3, so 195 is equal to 3/3.
Please answer ASAP my assigned due tomorrow WORTH 15 POINTS
Answer:
$7.74
Step-by-step explanation:
The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.
For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.
This means that we can add these values together to get the minimum amount that the school needs to earn
[tex]1137.50+1500=2637.50[/tex]
Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.
[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]
This means that the school needs to sell these books for at least $7.74
(... This fictional school is selling the books for more than double the price they paid for them...)
Find two consecutive whole numbers that 56 lies between.
(NEED ASAP PLEASE !!)
The equation A=1250(1.03)^7 is being used to calculate the amount of money in a savings account. What does the 1.03 represent in this equation?
Answer:
The amount of Interest
Step-by-step explanation:
I'm 98% sure. It make sense because that how much interest ^7 you would multiply by 1250. And I've had questions like this. Hope this helps!
help me plz 50 points and ill give brainliest if you answer all
Answer:
11) [tex]2x=-4[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]
[tex]x=-2[/tex]
12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]
([tex]2^4=16)[/tex] if you wanted the exact value.
13) [tex]-3+10=x[/tex]
Switch sides:
[tex]x=-3+10[/tex]
Rearrange:
[tex]x=10-3[/tex]
[tex]x=7[/tex]
14) [tex]10^2-64[/tex]
[tex]10*10-64[/tex]
[tex]100-64[/tex]
[tex]36[/tex]
15) [tex]\sqrt{100}-5^2[/tex]
[tex]10-5^2[/tex]
[tex]10-5*5[/tex]
[tex]10-25[/tex]
[tex]-15[/tex]
16) [tex]\frac{1}{4}x=-10[/tex]
Multiply both sides by 4:
[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]
[tex]x=-40[/tex]
17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]
[tex](2^6=64)[/tex] if you wanted the exact value.
18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]
[tex](2^5=32)[/tex] if you wanted the exact value.
Bonus Question:
Terrorist attacks took place against the United States in September 11 2001.
This is named "September 11 attacks" and you can search more about it online.
Answer:
10. x = -2
12. 16
13. x = 7
14. 36
15. -15
16. x = -40
17. 64
18. 32
Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.
Step-by-step explanation:
-does anyone understand Stand this also does anyone else need help
Answer:
I think its j
Step-by-step explanation:
Answer: Choice F) [tex]x \le -5[/tex]
====================================================
Explanation:
One long rectangle represents x. Four of them represent 4x
One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.
So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12
The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.
----------------
The inequality we need to solve is [tex]4x+12 \le -8[/tex]
We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x
This is what the steps would look like:
[tex]4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \ \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \ \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\[/tex]
The inequality sign does not flip since we did not divide both sides by a negative number.
what is the answer? x+300=500 Will mark brainliest for high quality answers
Answer: x=
3
500
=166.667
Step-by-step explanation:
This deals with adding, subtracting and finding the least common multiple.
Hey there!
ANSWER: [tex]x=200[/tex]EXPLANATION:[tex]x+300=500[/tex]
To solve this, we can just do 500 - 300.
[tex]500-300=200\\x=200(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.
Answer:
1.429 lbs per dollar of sugar
Step-by-step explanation:
multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up
Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.
Sugar per dollarYou can find out the quantity of sugar you get per dollar using the formula:
= Price of sugar / Number of pounds
Solving gives
= 1.40 / 2
= 0.7 pounds
In conclusion, you get 0.7 pounds.
Find out more about cost per unit at https://brainly.com/question/24398532.
Please help please help
Answer:
1/9 is the correct answer Hope this helps!!
Step-by-step explanation:
Answer:
1/9 or .111111111111111
Step-by-step explanation:
Four sisters buy a total of 3 1/2 feet of ribbon . The sisters want to share the ribbon equally how many feet of ribbon will each sister receive? 3/8 ft , 1/4 ft,1/2 ft, 7/8 ft
Answer:
each sister receives (7/8) ft of ribbon
Step-by-step explanation:
Let's start by writing the total amount of ribbon in fraction form:
3 1/2 = 3 + (1/2) = (7/2)
Now, we need to perform the division: (7/2) divided by 4
in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):
(7/2) divided 4 = (7/2) x (1/4)
and we multiply the fractions obtaining:
(7/8)
So, each sister receives (7/8) ft of ribbon
8i to the power of 62
Answer: -8
Step-by-step explanation:
Find the intercepts of the equation.
4x + 7y = - 84
To find the x and y intercepts, we have to plug 0 into x and y respectively.
4(0) + 7y = -84
Simplify.
7y = -84
Divide both sides by 7
y = -12
The y-intercept = (0, -12)
4x + 7(0) = -84
Simplify.
4x = -84
Divide both sides by 4
x = -21
The x-intercept = (-21, 0)
The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.
Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)
Step-by-step explanation:
Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).
*edmentum answer*
5.4 inches of snow fell in 3.6 hours. How much snow fell per hour?
Answer:
1.5 per hour.
Step-by-step explanation:
By proportion that is 5.4 / 3.6
= 1.5 per hour.
Maggie's brother is 8 years younger than twice her age. The sum of their ages is 25.
How old is Maggie?
Maggie is
years old.
Answer:
the sum is 25 not 24?
Step-by-step explanation:
Write -0.35 as a mixed number in simplest form
Step-by-step explanation:
[tex] \huge - 0.35 = - \frac{35}{100} = - \frac{7}{20} [/tex]
help help help help
Answer:
combine like terms
Step-by-step explanation:
Which of the following can not be used to express the number 8?
eight below zero
positive eight
+8
eight more than zero
Answer:
A positive number or a number that is greater than zero
Step-by-step explanation:
The football team has a total of 50 jerseys There are 30 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
60%
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
because 30/50 × 2 =60/100 =60%
Can someone Identify the terms and coefficients;
8x-20y-10
Answer:
cooeficients are + 8,20 and 10
terms are x and y
Maggie's brother is 10 years younger than three times her age. The sum of their ages is 50. How old is Maggie?
Maggie is _____ Years old
Answer:
9
Step-by-step explanation:
please help me solve this math problem, tryna graduate here
Answer:
141°
Step-by-step explanation:
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 for yellow,1/15 for blue, and 1/10 for white. What is the probability of pulling a black or yellow card, written as a reduced fraction?
Step-by-step explanation:
P(black or yellow) = P(black) + P(yellow) − P(black and yellow)
P(black or yellow) = 1/25 + 1/5 − 0
P(black or yellow) = 6/25
Ten less than 3 times a number is the same as the number plus 4.
Step-by-step explanation:
10 - 3x = x-4
Collect like terms
10 +4 = x + 3x
14 = 4x
Divide both sides by 4
X = 14
4
= 7
2
= 6 1
2
Or
= 6.5
A candy jar has 24 candies. One-third of the candies are chocolate of the leftover candies, half are gummy bears and the other half is skittles. How many skittles are in the jar
Answer:
8
Step-by-step explanation:
one third of 24 is 8 and then you have 16 leftover so you divide 16 by 2 and you will get 8
I bought three pencils costing 18 cents each. how much change did I get from $1
Answer:
15 pencils
Step-by-step explanation:
18c/3
x/1
cross multiply then divide
Answer:
46 cents
Step-by-step explanation:
18 x 3 = 54
100 - 54 = 46
You and a friend are sharing a swing. You have swung 11 times while your friend has swung twice as many times. Which of the following is a good estimation of how many more times your friend has swung than you?
Answer:
10
Step-by-step explanation:
The freeman family is barbecuing veggi burgers corn on the cobs and mushrooms caps in their local park if 3/8 of the items are barbecued are veggie burgers and 1/3 of the items are barbecued are corn on the cobs what fraction of barbecued items are mushrooms caps
Answer:
7/24
Step-by-step explanation:
At a school there are six lessons in a day.
In total, the six lessons last for five hours.
Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Answer:
the answer is about 50 minutes
Step-by-step explanation:
5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins