Answer:
9
Step-by-step explanation:
Find the value of x.
What theorems would/could you use to find x?
Thank you in advance
Answer:
a. Linear pair theorem
b. x = 40
Step-by-step explanation:
a. x° and (4x - 20)° are angles on a straight line, so, they are a linear pair. Therefore, we would apply the linear pair theorem, which says the sum of a linear pair gives us 180°.
b. x° + (4x - 20)° = 180° (linear pair theorem)
Solve for x
x + 4x - 20 = 180
5x - 20 + 20 = 180 + 20
5x = 200
5x/5 = 200/5
x = 40
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed
Answer:
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.
This means, respectively, that [tex]k = 5, N = 18[/tex].
9 vessels are randomly targeted and destroyed
This means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]
[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
PLEASE HALP ALL MY POINTS AND BRAINIEST
Answer:
A
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HEEEEEEEEEEEELLLLLLLLLLLLLPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
theyre vertical angles and x is 16
Step-by-step explanation:
7x+16=128
7x=128-16
7x=112
x=112/7
x=16
hope i helped! mark as brainliest pls <3
Answer:
Vertical x = 16
Step-by-step explanation:
(7x + 16) = 128
7x = 128 - 16 ------- 7x = 112
x = 112 ÷ 7
x = 16
what is the measure of angle k?
Answer:
59°
Step-by-step explanation:
a+16+a-18=180
2a-2=180
2a=182
a=91
n=91+16=107
m=91+30=121
l=91-18=73
107+121+73=301
K=360-301=59
5 11/12 + 3 9/12? Step by step
Answer:
Simplified: 9 2/3
Step-by-step explanation:
Convert the mixed numbers into improper fractions
To do this, multiply the denominator by the whole number and add the numerator: (denominator × whole number + numerator)/denoninator
First fraction:
5 11/12
(12 × 5 + 11)/12
(60 + 11)/12
71/12
Next fraction:
3 9/12
(12 × 3 + 9)/12
(36 + 9)/12
45/12
Substitute these fractions in the original problem now:
71/12 + 45/12
Add the numerators only. The denominators stay the same.
(71 + 45)/12
116/12
Now that the calculations are done, convert this back into a whole number
How many times does 12 fit into 116 equally? If you answered 9 times, then you are correct. This 9 will sit as the whole number in the fraction
12 × 9 = 108
This doesn't equal 116 perfectly so we must find the left over
116 - 108 = 8 left over (which is used as the numerator)
9 8/12
If your class or problem asks that you simplify your answer, then look at both the numerator and denominator to determine any common factors within them
8 and 12 both have common factors of 2 and 4
Since 4 is the bigger number, divide both 8 and 12 by 4 to simplify your answer
9 2/3
The constraint for the potential plant site 2 can be written as:
a. x21 + x22 + x23 less or equal than 2100y2
b. x21 + x22 + x23 greater or equal than 2100y2.
c. x21 + x22 + x23 less or equal than 2800 y2.
d. x21 + x22 + x23 greater or equal than 2800y2.
e. none of the above.
Answer:
c. x21 + x22 + x23 less or equal than 2800 y2
Step-by-step explanation:
The plant has a maximum capacity of 2800 then the sum of all these operations must be equal to or less than 2800. The site of the plant has capacity constraint which needs to be determine through equation. The total capacity for the plant 2 is only 2800 the operation has to be distributed with keeping in mind the capacity limit.
The dot plot shows the number of books Melanie's classmates have read. Approximately what percent of Melanie’s classmates have read more than 7 books
Answer:
.30
Step-by-step explanation:
Please help need to be done quickly
Answer:
13<x<14
Step-by-step explanation:
try using your calculator using square root
i mean square root 169=13 and square root 196=14
HURRY!!!! MERELY 5 MINUTES BEFORE I DELETE THIS!!!!!!!
1) Solve this equation mentally: 247 + c = 458
2) Now rewrite the equation as a subtraction equation.
Answer:
1)247 + 211 = 458
2)458 - 211 = 247
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can subtract 247 on both sides
247 + c = 458
-247 -247
----------------------
c=211
Rewritten equation= c= 458-247 OR 458-c=247
Hope i helped, Brainliest would be appreciated!
Have a great day!
-Aadi x
Distribute: (t + p)4
Answer:
4t+4p
Step-by-step explanation:
If it's distribution you just multiply a term over several other terms, you multiply each of the other terms by the first term.
Need help please anyone
9514 1404 393
Answer:
A) The angles marked ∠7 and ∠8 are vertical angles.
B) The angles marked with expressions in y are also vertical angles, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
C) y = 24; ∠7 = ∠8 = 89°
Step-by-step explanation:
A) The angles marked ∠7 and ∠8 are vertical angles, comprised of opposite rays and having a common vertex.
__
B) The angles marked with expressions in y are also vertical angles. Vertical angles are congruent, so those expressions are equal to each other. Stating this in equation form gives an equation that can be solved for y.
__
C) (5y-29)° = (3y+19)°
2y = 48 . . . . . . . . . . . . divide by °, add 29-3y
y = 24 . . . . . . . . . divide by 2
Angles 7 and 8 are supplementary to the angles marked with expressions in y.
∠7 = ∠8 = 180° -(5y -29)° = 209° -5(24)°
∠7 = ∠8 = 89°
Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in the table.
TRUE OR FALSE
The rates of change for both Function A and B are positive.
TRUE OR FALSE
The rate of change for Function A is 3 times the rate of change for Function B
TRUE OR FALSE
The y-intercepts for both Function A and Function B are positive.
What is the probability that you know will not wear a white shirt on the first day of her trip
Answer:
what is the question yaaar
Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?
A. (0.17 – 0.27) + 1.65, 0.27 0.17 V 200
B. (0.17 – 0.27) 1.96 V (0.17)(0.83)+(0.27)(0.73) 400
C. (0.17 – 0.27) + 1.657 (0.17)(0.83)+(0.27)(0.73) 400
D. (0.17 – 0.27) + 1.96V (0.17)(0.83)+(0.27)(0.73) 200
E. (0.17 – 0.27) + 1.657 (0.17)(0.83)+0.27)(0.73) 200
Answer:
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
Step-by-step explanation:
Given
[tex]n = 200[/tex]
[tex]x_1 = 34[/tex] -- City C
[tex]x_2 = 54[/tex] --- City K
Required
Determine the 90% confidence interval
This is calculated using:
[tex]CI = \bar x \± z\frac{\sigma}{\sqrt n}[/tex]
Calculating [tex]\bar x[/tex]
[tex]\bar x = \bar x_1 - \bar x_2[/tex]
[tex]\bar x = \frac{x_1}{n} - \frac{x_2}{n}[/tex]
[tex]\bar x = \frac{34}{200} - \frac{54}{200}[/tex]
[tex]\bar x = 0.17 - 0.27[/tex]
For a 90% confidence level, the z-score is 1.65. So:
[tex]z = 1.65[/tex]
Calculating the standard deviation [tex]\sigma[/tex]
[tex]\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }[/tex]
So:
[tex]\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }[/tex]
[tex]\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}[/tex]
So:
[tex]CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}[/tex]
[tex]CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}[/tex]
PLEASE HELP ME!!!!!
sin(a-28)=cos4
a=?
Answer:
sin(a−28)=cos(4)
sin(a−28)=−0.653644
Step-by-step explanation:
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.
7% interest on a loan of $800 for a year. how much will you receive?
Answer:
$56
Step-by-step explanation:
Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56!
Hope it helps
Please mark me as the brainliest
Thank you
Step-by-step explanation:
Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56
José bought for notebooks more than twice of a number he has now 12 notebooks what is the number
Answer:
is it 24
Step-by-step explanation:
twice of a number thats 12???
dont use answer unless your sure
what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)
Answer:
x3+2x2-17x+6.
Step-by-step explanation:
(x2+5x-2)(x-3)
= x(x2+5x-2)-3(x2+5x-2)
= x3 +5x2-2x-3x2-15x+6
Simplifying like terms:
= x3+2x2-17x+6
A line passes through the points (4,15) and (9,20). Right in line your function rule in terms of x and y for this line
Answer:
15
Step-by-step explanation:
so uh, I took a test and I got this question wrong. I cant tell what the right answer is, and I want to learn how to do it, but I dont know. I was hoping that maybe you could help, thanks!
note: the first drop down options are
angle b: 59, 63, 90
angle F: 59, 63, 90
Answer:
Use the Triangle Sum Theorem (all three angles inside a triangle add up to 180 degrees)
A is 27, C is 90 degrees (right angle) , B is unknown.
Now add. 117+B=180
B is 63 degrees.
D is 31 degrees, E is 90 degrees. F is unknown.
Add.
31+90+F=180
121+F=180
F is 59.
Step-by-step explanation:
Answer:
B is 63
F is 59
Which choice is equivalent to the product below?
Answer:
C is the right answer have a good day
Seven - tenths of the votes for blue were made by girls. Did girls who voted for blue make up more than or less than half of all votes.
Answer:
More than half
Step-by-step explanation:
10/10 would be one whole, and half of ten is 5, which makes 5/10 equal to one half. 7 is greater than 5, so that means 7/10 is more than one half. Hope this helps!
Ms. Scherbauer and her family go out to dinner and spend $65.20 on their meal. If they want to leave their waitress a 20% tip, how much do they pay in total?
Answer:
$78.24
Step-by-step explanation:
Plz I want the answer quickly!!
Answer:
See uploaded image
Step-by-step explanation:
The 3 right angles are WZY, YZX, and WYX. Sides WX, YW, and YX are similar on their respective similar triangles
For the arithmetic sequence beginning with the terms
(1, 4, 7, 10, 13, 16...),
what is the sum of the
first 19 terms?
Based on the arithmetic sequence, the sum of the first 19 terms is 532.
Sum of an arithmetic sequence1, 4, 7, 10, 13, 16...
First term, a = 1Common difference, d = 4 - 1 = 3n = 19Sn = n/2{2a + (n - 1)d}
= 19/2{2×1 + (19 - 1)3}
= 9.5{2 + (18)3}
= 9.5(2 + 54)
= 9.5(56)
Sn = 532
Learn more about arithmetic sequence:
https://brainly.com/question/24205483
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what is the ratio of these plz help
Step-by-step explanation:
1. Ratio(White to black) = 12 / [52 - 12]
Ratio(White to black) = 12 / [40]
Ratio(White to black) = 3 / 10 = 3:10
2. Ratio(Blue triangle to all) = 5 / [5+80]
Ratio(Blue triangle to all) = 5 / [85]
Ratio(Blue triangle to all) = 1 / 17 = 1:17
3. Ratio(Circle to all) = 76 / [22+76]
Ratio(Blue triangle to all) = 76 / [98]
Ratio(Blue triangle to all) = 38 / 49 = 38:49
4. Ratio(Yellow triangle to blue) = 18 / 14
Ratio(Yellow triangle to blue) = 9 / 7 = 9:7
5. Ratio(Yellow triangle to blue) = 42 / 6
Ratio(Yellow triangle to blue) = 7 / 1 = 7:1
6.Ratio(Boys to all) = 63 / [27 + 63]
Ratio(Boys to all) = 63 / 90
Ratio(Boys to all) = 7 / 9 = 7:9
Will GIVE BRAINLIEST Select the correct answer.
Which statement describes the end behavior of the function?
12 100
1 2 – 31 – 4
B.
A. The function approaches 0 as x approaches - and co.
The function approaches 1 as x approaches -o and co.
C. The function approaches 5 as x approaches -oo and co.
X D. The function approaches 25 as x approaches - and co.
9514 1404 393
Answer:
B. f(x) → 1
Step-by-step explanation:
When x is very large, the only terms that matter are the ones of highest degree. That ratio is ...
f(x) = x^2/x^2 = 1
The function value approaches 1 for very large x.
Forty families were surveyed and asked to record the number of hours per week their television was in use. The results are shown in this frequency table.
Which histogram is an accurate representation of the data?
a
20
13
Number of Hours
0-5
40-49
10-19 20-29 30-39
Frequency
b.
20
19
16
14
12
Answer:
I think its D, Correct me if I'm wrong!
Step-by-step explanation:
