Find the value of x in the figure.
Answer:
x=100
Step-by-step explanation:
x+23+57=180
x+80=180
x=100
PLZ HELP I’LL GIVE BRAINLIEST
A quiz has 10 multiple choice questions each with 4 answers that are equally likely to be the correct one. Suppose that the quiz takers need to score 7 corrects out of 10 to pass. Answer the following questions when the quiz taker selects the answers randomly. a) Probability of marking exactly 3 incorrect answers. b) Probability of passing
Answer:
a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) 0.0035 = 0.35% probability of passing.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
10 multiple choice questions
This means that [tex]n = 10[/tex]
4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
a) Probability of marking exactly 3 incorrect answers.
3 incorrectly = 7 correctly, so this is P(X = 7).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) Probability of passing
At least 7 correct, so
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]
[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]
[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]
0.0035 = 0.35% probability of passing.
In the typing world, 80 words per 5 minutes is considered acceptable.
How many words per minute is this?
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
HELP HELP
PLZ I WILL MARK YOU BRILL
Answer:
1) 55 2)60-80 3)95 4)92.5(mean), 92.5 (median), 95 (mode) 5) the outlier greatly offsets the data as it is no where near the other data points.
Step-by-step explanation:
Use the polling tool to respond to the question below.
Gina typed 2,700 words. She types 45 words per minute. How long did she type for?
HELP PLZZ
Answer:
She typed for 60 minutes (1 hour).
Step-by-step explanation:
Do 2,700 divided by 45 to get your answer.
2,700 ÷ 45 = 60
She typed for 60 minutes (1 hour).
Each day, you run on a treadmill for $r$ minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?
I don’t understand this so can I get help
Answer:
Your image is cut off, can you provide a better one so I can try to answer it?
Step-by-step explanation:
mq/t=s/v solve for t
Answer:
t = mqv/s
Step-by-step explanation:
see pic for explanation
Is 3 a rational number
Answer:
Yes
Step-by-step explanation:
Rational numbers are numbers that can actually be written down and end at some point, such as 3, 4, 6, 10, etc. Some numbers that aren't rational are numbers like π, which are never-ending.
PLEASE HELPPP with this problem THANK YOUU!!!
Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.
Answer:
Your answer is A
Step-by-step explanation:
The graph of y = f(x) will shift left 2 units.
I NEED HELP RIGHT NOWWW
Answer:
No
Step-by-step explanation:
no because 8*3 is not equal to 18
if my answer helps please mark as brainliest.
Eli weighed 6 pounds, 5 ounces when he was born.
How many ounces did he weigh?
I’M TIMED PLZ HURRY
Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?
how would we find the original price if we know the sale price and the % of savings?
Answer:1.5 i think i dont know the second question tho
Tan (14)= 6000
side of the
Х
1
Answer:
question I don't understand what you want to be done herewhat's the q
A team has won 51 out of 68 games. Explain how to
use the bar diagram to find the percent of games the
team has won
Answer:
you would divide -> 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
Answer:Divide 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12
an hour. How many hours was the bus worked on?
Answer:
4 hours
Step-by-step explanation:
72+12x=120 and when you isolate x you get x=4
Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter
Answer:
21.8cm is the required answer
Step-by-step explanation:
The measurement of the third side of the triangle is 22 cm
What is sine law?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,
Finding angle A
180°-(75°+31.8°) = 73.2°
Now, using the sine law,
Sin 73.2° / a = Sin 75° / 22
a = 21.80
a ≈ 22
Hence, the measurement of the third side of the triangle is 22 cm
Learn more about sine law, click;
https://brainly.com/question/17289163
#SPJ7
The ratio of toy cars to toy airplanes in Drew’s collection is 5:2.
Which statements are true? Select all that apply.
For every 5 toys, 2 are cars.
For every 5 toys, 2 are airplanes.
For every 7 toys, there are 5 toy cars.
For every 7 toys, there are 2 toy airplanes.
For every 5 toy cars, there are 2 toy airplanes.
Answer:
For every 7 toys, there are 5 toy cars.
For every 7 toys, there are 2 toy airplanes.
For every 5 toy cars, there are 2 toy airplanes.
Step-by-step explanation: For anyone who is interested, there is 5 toy cars and 2 toy airplanes. 5+2 = 7. (That equals the total amount of toys) Using that information, A and B would be incorrect.
please help using elimination !
7x+2y=24 8x+2y=30
Answer:
-x=-6
x=6
7(6)+2y=24
42+2y=24
2y=24-42
2y=-18
y=-9
Step-by-step explanation:
Use the calculator to find the value of x for the equation: × + 3.2=6.3
Answer:
x = 3.1
Step-by-step explanation:
Subtract 6.3 - 3.2 to find the value of x. You get 3.1.
Hope it helps!
What is the supplement of a 54° angle?
Answer:
126
Step-by-step explanation:
The supplement of 54° is the angle that when added to 54° forms a straight angle (180° ). So,
54 + x = 180
x = 126
Write an equation in slope-intercept form for the line between (2,7) and (6, 19)
Answer:
Step-by-step explanation:
(19 - 7)/(6 - 2) = 12/4= 3
y - 7 = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1
Please help me to complete the impact on equity
Please answer
Answer:
Equity is same as equility it is for making students fools.
Step-by-step explanation:
Equity=Equality
A bag contains 5 red and 3 bluearble. Two marbles are drawn simultaneously from the bag. DETERMINE the probability that at least one is red.
Answer:
5/8
Step-by-step explanation:
What times what equals -40 and add to make -3
Answer:
-8 and 5
Step-by-step explanation:
-8 × 5 = -40
-8 + 5 = -3
Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink
Answer:
The percent she has left in the drink is 75%
Step-by-step explanation:
1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.
The summer sports training camp has a maximum capacity of 250 students. If 85 have preregistered, then how many students can still participate? Write and solve an inequality.
A hot air ballon is descending at a rate of 100 feet per minute. After 6 minutes, the hot air ballon is 200 feet above the ground.
Answer:
800 feet i think but is this the full question
Step-by-step explanation:
