Answer:
a
[tex]P(K) = 0[/tex]
b
[tex]P(Z) = 0[/tex]
c
[tex]P(W) = 0.1016[/tex]
d
[tex]P(R) = 0.29[/tex]
Step-by-step explanation:
From the question we are told that
The number of married people is k = 15
The number of people that are not married is u = 15
The number of people selected is e = 12
The total number of people is n = 30
Generally the number of ways of selecting 12 people from the married people is mathematically represented as
[tex]B = ^k C_e[/tex]
Here C stands for combination hence we will be making use of the combination functionality in our calculators
[tex]B = ^{15} C_{12}[/tex]
=> [tex]B = 455[/tex]
Generally the number of ways of selecting 0 people from the not married people is mathematically represented as
[tex]A = ^u C_0[/tex]
=> [tex]A = ^{15} C_0[/tex]
=> [tex]A = 1[/tex]
Generally the number of ways of selecting 12 people from the total number of people is mathematically represented as
[tex]D = ^{n} C_{12}[/tex]
=> [tex]D = ^{30} C_{12}[/tex]
=> [tex]D = 8.6493225 *10^{7}[/tex]
Generally the number of ways of selecting 12 people from the married people is equal to the number of ways of selecting 12 people from not married, also the number of ways of selecting 0 people from the not married is equal to the number of ways of selecting 0 people from the married people, all this is because the number of married people is equal to the number of not married people
Generally the number of ways of selecting 8 people from the married people is
[tex]E = ^{k} C_{8}[/tex]
=> [tex]E = ^{15} C_{8}[/tex]
=> [tex]E =6435[/tex]
Generally the number of ways of selecting 4 people from the not married people is
[tex]F = ^{u} C_{4}[/tex]
=> [tex]F= ^{15} C_{4}[/tex]
=> [tex]F=1365[/tex]
Generally the number of ways of selecting 6 people from the married people is
[tex]G = ^{k} C_{6[/tex]
=> [tex]G= ^{15} C_{6}[/tex]
=> [tex]G=5005[/tex]
Generally the number of ways of electing 6 people from the married people is equal to the number of ways of selecting 6 people from the not married people
Generally the probability that the jury consists of all married people is mathematically represented as
[tex]P(K) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(K) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(K) = 0.000005[/tex]
=> [tex]P(K) = 0[/tex]
Generally the probability that the jury consists of all not married people is mathematically represented as
[tex]P(Z) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(Z) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(Z) = 0.000005[/tex]
=> [tex]P(Z) = 0[/tex]
Generally the probability that the jury consists of 8 married and 4 that are not married is mathematically represented as
[tex]P(W) = \frac{ E * F}{D}[/tex]
=> [tex]P(W) = \frac{ 6435 * 1365}{8.6493225 *10^{7}}[/tex]
=> [tex]P(W) = 0.1016[/tex]
Generally the probability that the jury consists of 6 married and 6 that are not married. is mathematically represented as
[tex]P(R) = \frac{G * G}{D}[/tex]
[tex]P(R) = \frac{5005 * 5005}{8.6493225 *10^{7}}[/tex]
=> [tex]P(R) = 0.29[/tex]
Suppose a car travels 340 miles in 6 hours. What is the unit rate of miles per hour? Use the unit rate to find the distance the car could travel after 9 hours. What assumptions are made in this situation?
Answer:
Unit rate: 56.67 miles per hour
9 hours: 510 miles
plz mark brainliest :DD
Answer:
1. 56.66666667
2.504
Step-by-step explanation:
For the hypothesis test against and variance known, calculate the P-value for the following test statistic: . Round your answer to three decimal places (e.g. 98.765). P-value
The p-value for the test statistic: [tex]Z_o=-1.96[/tex] is 0.025.
In statistics, the p-value is a measure that quantifies the strength of evidence against a null hypothesis. It represents the probability of observing a result as extreme as, or more extreme than, the one obtained in a statistical test, assuming that the null hypothesis is true.
The null hypothesis, denoted as H₀, represents the default or initial assumption that there is no significant difference or relationship between variables or no effect of a treatment. The alternative hypothesis, denoted as H₁, suggests the existence of a significant difference or relationship.
The p-value for the test statistic: [tex]Z_o=-1.96[/tex]:
p-value = P{[tex]Z_o < -1.96[/tex]}
= 0.025.
So, the required p-value is 0.025.
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The complete question is given below:
For The Hypothesis Test H0:-7 Against H 1: 7 And Variance Known, Calculate The P Value For The Following Test Statistic: [tex]Z_o < -1.96[/tex]. Round your answer to three decimal places (e.g. 98.765).
2. Unsa ngo butang ang may kantidad nga "huybe sentos peso
o
POSE
C
P200
P500
d.
10p0
I CAN'T UNDERSTAND PLEASE REPEAT THE QUESTION
At a restaurant you order a lunch that costs $6.50 and a beverage that costs $1.50.You leave a 15 %tip and the sales tax is 7%.What is the cost of the meal
this is 5th grade math
a concrete stepping stone measures 20 square inches. what is the area of 30 such stones?
Answer:
12000
Step-by-step explanation:
If you mean one side of the stepping stone is 20 inches then you would multiply 20 by 20 to get the area of one, since that would be multiplying length times width (the area formula). The area of one would result in 400 and you would then multiply this by the thirty tiles (400 times 30) to get 12000.
Answer:
12000
Step-by-step explanation:
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought 5 more large boxes than small boxes, which altogether had 2550 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Answer:
7 large boxes and 2 small boxes
Step-by-step explanation:
if you take 350 and times it by 7 you get 2450 then add 2 small boxes which are 50 each and you have 2550 and 5 more large boxes then small
The contractor purchased 2 no. of small boxes and 7 large boxes.
What is a linear equation ?A linear equation is an algebraic equation of highest degree 1.
According to the given question A contractor needs to buy nails to build a house.
The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails.
The contractor bought 5 more large boxes than small boxes,So assuming he bought x no. of small boxes.
∴ He bought (x+5) nos. of large boxes.
So, 50(x) + 350(x+5) = 2550.
50x + 350x + 1750 = 2550.
400x = 2550 - 1750.
400x = 800.
x = 2.
∴ Large no. of boxes he purchased is 7.
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PLEASE HELP!!
2. Alice has a 401K with an APR of 2.5% that compounds monthly. She plans on contributing
$500.00 a month and her company will match her contribution for a total of $1,000.00 a
month contributed. How much money will be in the account at the time of her retirement
(age 65)? Show all calculations.
Answer:
multiply 12x65, then multiply that by 1,000 to get 780,000
Step-by-step explanation:
carry can deliver 12 pizzas in 2 hours . How many pizzas an she deliver in 1 hour? How long will it taker her to deliver 30 pizzas?
Answer:
She delivers 6 pizzas in 1 hour
She delivers 30 pizzas in 5 hours
Step-by-step explanation:
1 hour = 6 pizza deliveries
30 pizza deliveries = 5 hours
A pair of shoes that normally sells for $82.88 goes on sale for 35% off what is the final sale price
Answer:
$29.01
Step-by-step explanation:
According to my calculations, an item with an original price tag of $82.88 that is marked down by 35% will have a sales price of $53.87 -- a savings of $29.01.
(1 - (30 / 100)) * $30.00
Sale Price = (1 - 0.30) * $30.00
Sale Price = 0.70 * $30.00
Sale Price = $21.00
-4.23x(5.1) could someone also explain?
Answer:
−21.573x
Step-by-step explanation:
simplify it
4. Evaluate the expression: 27 - 4x (3 x 2) + 10 + 2
c. 17
6. Simplify the expression: (5 x 0) + 54 + 6 - 72 +9+ 300 = N
The points (80, 20) and (120, 30) form a proportional relationship. What is the slope of the line that passes through these points?
Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Antonio purchased.
A $29.35y + $17.45x
B $29.35x + $17.45y
C ($29.35 + $17.45)(x + y)
D ($29.35 - $17.45)(x + y)
Answer:
B
Step-by-step explanation:
It correctly represents the situation as it shows that for each adult, you pay 29.35 more and 17.45 for each child.
Which number is between - and 1.5?
A. 1 3/4
B. 0
C. -5/8
D. -0.6
!!!!!!!!!!!!!!!!!!!1
Answer:
Possibly A, cause you didn't give the first number.
In a sprint to the finish, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 3 seconds?
Answer:
Use your calculator, its 57 meters.
Step-by-step explanation:
380/20 = 19
19x3=57
HELP MEEEEEEEEEEEEEEEEEEE I DONT GET IT
Aimee is flying to visit her grandparents. The first leg of her flight is 2 hours, 43 minutes. The second leg of her flight is 1 hour, 38 minutes. What is her total flight time?
A: 4h 11min
B: 3h 81 min
C: 4h 21 min
D: 1h 5min
Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal placesx P(x)0 0.31 0.12 0.23 0.4
Complete Question
Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places
x 1 2 3 4 5
P(x) 0 0.31 0.12 0.23 0.4
Answer:
The value is [tex]\sigma = 0.89[/tex]
Step-by-step explanation:
From the question we are told that
The probability distribution is
x 1 2 3 4 5
P(x) 0 0.31 0.12 0.23 0.4
So
[tex]x^2[/tex] 1 4 9 16 25
Generally the mean is mathematically represented as
[tex]E(X) = \sum [x * P(x)][/tex]
=> [tex]E(X) = (1 * 0) + (2 * 0.31 ) + (3 * 0.12 ) + (4 * 0.23) + (5 * 0.4 )[/tex]
=> [tex]E(X) = 3.9[/tex]
Generally
[tex]E(X^2) = \sum [X^2 * P(x)][/tex]
=> [tex]E(X^2) = (1 * 0) + (4 * 0.31 ) + (9 * 0.12) + (16 * 0.23) + (25 * 0.4)[/tex]
=> [tex]E(X^2) =16[/tex]
Generally the variance of this probability distribution is
[tex]V(X) = E(X^2) - [E(X)]^2[/tex]
[tex]V(X) = 16 - 3.9^2[/tex]
[tex]V(X) = 0.79[/tex]
Generally the standard deviation of this probability distribution is
[tex]\sigma = \sqrt{V(x)}[/tex]
=> [tex]\sigma = \sqrt{0.79}[/tex]
=> [tex]\sigma = 0.889[/tex]
This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do not round any side lengths.
units²
Coordinate plane with axes labeled x and y. A closed figure is formed by a parallelogram and rectangle. The vertices are negative 6 comma negative 1, 2 comma 1, 2 comma 7, 3 comma 3, 3 comma negative 3, and negative 5 comma negative 5.
9514 1404 393
Answer:
40 units²
Step-by-step explanation:
You can figure the side lengths using the distance formula, or you can use a formula for finding area from coordinates. The latter looks like ...
[tex]\displaystyle A=\dfrac{1}{2}\left|\sum\limits_{k=1}^n{x_k(y_{k-1}-y_{k+1})}\right|\qquad\text{where $y_0=y_n$ and $y_{n+1}=y_1$}[/tex]
So, the area is ...
A = (1/2)|(-6(-5-1) +2(-1-7) +2(1-3) +3(7+3) +3(3+5) -5(-3+1)|
= (1/2)|36 -16 -4 +30 +24 +10| = (1/2)(80)
A = 40
The area of the figure is 40 units².
You are riding on a zip line. Your speed is 15 miles per hour. What is your speed in feet per second?
Answer:
22 feet per second
Step-by-step explanation:
The speed on the zip line is 22 feet per second.
let's use the conversion rate below
1 miles = 5280 foot
1 hour = 3600 seconds
The rate is measured in miles per hour. Let's convert it to feet per seconds. Therefore,
Let convert the distance first
1 miles = 5280 foot
15 miles = ?
cross multiply
distance in miles = 5280 × 15 = 79200 foots
let convert the hours to seconds
3600 seconds = 1 hour
Therefore,
speed in foot per seconds = 79200 / 3600 = 22 ft/secs
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what is 14 divided by 2/7 in simplest from
Answer:
98/2
Step-by-step explanation:
The numbers in 14 divided by 2/7 are labeled below:
14 = whole number
2 = numerator
7 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
14 x 7
2
=
98
2
Thus, the answer to 14 divided by 2/7 in fraction form is:
98
2
To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
98 / 2 = 49
The answer is rounded to the nearest two decimal points if necessary.
98/2 can be simplified to 49/1.
49/1 is an improper fraction and should be written as 49.
the simplest form of 14 divided by 2/7 is 49.
To divide 14 by 2/7, we can convert the division operation into multiplication by taking the reciprocal (flipping) of the divisor. The reciprocal of 2/7 is 7/2. So, we have 14 multiplied by 7/2.
To simplify this further, we can cancel common factors between the numerator of 14 and the denominator of 2. Both 14 and 2 share a common factor of 2. Dividing both by 2, we get 7 and 1 respectively.
Therefore, the division 14 divided by 2/7 simplifies to 7 multiplied by 7/1, which equals 49. Thus, the simplest form of 14 divided by 2/7 is 49.
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Compare the tow numbers below 9.657 and 6.475 how much smaller is the 7 in the second number
Step-by-step explanation:
Given the values 9.657 and 6.475. Before we can know how much smaller is the 7 in the second number compare to the first, we need to get their place values first.
For 9.657
The place value of 7 in this value is 7 thousandth
7 thousandth = 7/1000 = 0.007
For 6.475
The place value of 7 in this value is 7 hundredth
7 hundredth= 70/1000 =7/100 = 0.07
Hence the value of 7 in the first is smaller that that of the second.TO know by how much, we will take the ratio of the two values
Find their ratios:
0.07/0.007 = 7/100 ÷ 7/1000
= 7/100×1000/7
= 7000/700
= 10
This means that the place value of 7 in 9.657 is 10 times smaller than the value of 7 in 6.475
What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
A.y = -5x
B.y = 2x - 5
C.y = -5x + 2
Answer: y=-5x+2
Step-by-step explanation: Luckily for you, they already pretty much gave you all the information you need for this problem. Keep in mind that the standard form for linear equations is y=mx+b, where m is slope and b is figure 0, or the y-intercept. So, all you have to do is substitute the values for the given information. You know that -5 is the slope, m, and (0,2) is the y-intercept, or b (you know that this is the y-intercept because x is at zero). So, you'd be left with y=-5x+2.
Hope this helps,
Lacia :)
.
15.
Gil earned these scores on the first three tests in biology this term: 86, 88, and 78. What is the lowest
score that Gil can earn on the fourth and final test of the term if he wants to have an average of at least
83?
The answer would be 80 because 252+x/4 =83 x=80
Hope this helps
Have a great day/night
Feel free to ask any questions
The lowest score that Gil can earn on the fourth and final test of the term if he wants to have an average of at least 80.
What is average?
The ratio of total sum in a given set to all the values in the data set is the mean value, which is the definition of the average. In mathematics, the central value of the a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to a number of units in the list. In terms of statistics, the term "mean" also refers to the average of a particular set of numerical data. The average of 2, 3, and 4 is, for instance, (2+3+4)/3 = 9/3 = 3. The central value of 2, 3, and 4 in this instance is 3, so. Finding the mean value of the a group of numbers is the definition of average.
According to question,
[tex]\frac{86+88+78+x}{4} = 83[/tex]⇒ [tex]x = 80[/tex]
Hence, Gill can score 80.
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If -2+y^3-xy=0 then find the equations of all tangent lines to the curve when y=2
HELP ASAP !!! Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 10 gallons of fuel, the
airplane weighs 1965 pounds. When carrying 42 gallons of fuel, it weighs 2173 pounds. How much does the airplane weigh if it is carrying 52 gallons of fuel?
What is the equation of the line that passes through the point (-6, -2) and has a
slope of -1/6?
The equation of the line that passes through the point (-6, -2) and has a slope of -1/6 will be y = -(1/6)x - 3.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope is - 1/6. Then the equation is given as,
y = -1/6 x + c
The equation passes through (-6, -2). Then we have
-2 = - (1/6) (-6) + c
- 2 = 1 + c
c = - 3
Then the equation is given as,
y = - (1/6)x - 3
The equation of the line that passes through the point (-6, -2) and has a slope of -1/6 will be y = -(1/6)x - 3.
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please help me I don't get this question
Answer:
The correct answer is -28.24
Find the angle 1 in this photos
Answer:
2. m∠1 = 129°
3. m∠1 = 37°
Step-by-step explanation:
We know that the sum of all interior angles in a triangle adds up to 180°.
2. To find measure 1 for problem 2, we can see that ∠1 is a supplementary angle with the interior angle in side
180°-(67°+62°)
180°-129°
51°
Now that we found the missing interior angle, we can find ∠1
180°-51° = 129°
m∠1 = 129°
3. Same thing as well for this problem except we're going to be going reverse we need to find the supplementary angle first, then we can find m∠1.
180°-152° = 28°
Now that we found the interior angle, we can find m∠1
180° - (115°+28°)
180°-(143°)
37°
m∠1 = 37°
The height of a statue is 276 inches. What is the height of the statue in meters? Round your answer to the nearest hundredth.
Answer:
7 meters
Step-by-step explanation:
One meter is about 40 inches and 276/40 = 6.9
6.9 roundest to the closest tenth is 7