Answer: x = 3.25, y = -1.5
Step-by-step explanation:
y = -2x + 5
4x - 2(-2x + 5) = 16
4x + 4x - 10 = 16
8x = 26
x = 3.25
2(3.25) + y = 5
y = -1.5
45*67=? No cheating do not look up answer
Answer:
3015
Step-by-step explanation:
Answer please help confused
Answer:
x = 9.7
Step-by-step explanation:
tan 68° = 24/x
2.4751 = 24/x
x = 9.7
4a²-8ab+4b=????????????
Step-by-step explanation:
4a² - 8ab + 4b²
= (2a)² - 2 * 2a * 2b + (2b) ²
= (2a - 2b) ²
Hope it helps :)
What is the slope of the line that passes through the points (-9, 2) and (1,27)?
Write your answer in simplest form
Answer:
5/2
Step-by-step explanation:
Khayla used 25% of the cream to make a large pot of Mac and cheese. If she has 9.3 quarts of cream left over, how many quarts of cream did she have?
Sorry if it is wrong but I think 30-35%
If using the method of completing the square to solve the quadratic equation
x2 + 3x +9 = 0, which number would have to be added to "complete the square"?
Answer:
0.555
Step-by-step explanation:
you simply follow the linear equation rule and fill in
The last option is school librarian PLEASE HELP ASAP MY COUSIN NEEDS HELP
Answer:
All parents in the school
Step-by-step explanation:
Plsssss help!!! This assignment is missing and I need to turn it in because grades are coming out soon!!!
Answer:
Gallons: Miles:
0 0
1 23
2 46
3 69
Step-by-step explanation:
First, you would figure out what the unit rate is. To do that, you would divide the 184 miles by the 8 gallons of gas. You get 23 miles per gallon of gas.
Then, to fill out the unit rate table, copy this method:
You know that 0 gallons of gas would lead you nowhere, so you would put a zero in the first row.
In the second row, you use your answer from the first row (0) and add the number of miles per gallon of gas. You would add 0 + 23 and get 23. Put 23 in the second row.
In the third row, you multiply the number of miles per gallon of gas by 2. The answer is 23 x 2 = 46.
Lastly, you multiply 23 x 3 (answer: 69) to fill out the final row.
SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random. What is the probability this student’s score will be at least 1500?
Answer:
0.2159 = 21.59% probability this student’s score will be at least 1500.
Step-by-step explanation:
To solve this question, we need to understand the normal distribution and conditional probability.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Recognized student(scored more than 1350)
Event B: Score of at least 1500.
SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200
This means that [tex]\mu = 1100, \sigma = 200[/tex]
Probability of being recognized.
1 subtracted by the pvalue of Z when X = 1350. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1350 - 1100}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a pvalue of 0.8944.
1 - 0.8944 = 0.1056
So [tex]P(A) = 0.1056[/tex]
Probabibility of being recognized and scoring at least 1500.
Intersection between more than 1350 and more than 1500 is more than 1500. So this probability is 1 subtracted by the pvalue of Z when X = 1500.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1500 - 1100}{200}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
So, [tex]P(A \cap B) = 0.0228[/tex]
What is the probability this student’s score will be at least 1500?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0228}{0.1056} = 0.2159[/tex]
0.2159 = 21.59% probability this student’s score will be at least 1500.
what is
2/4 × 3
please help me!
A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet and the diameter of the circle was 14 feet what best represents the value of n.
Answer:
What is N supposed to be? Is there supposed to be some picture or something that should tell us?
Step-by-step explanation:
A value of 0.5 that is added to and/or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution is called Group of answer choices probability density factor. factor of conversion. continuity approximation factor. continuity correction factor.
Answer:
continuity correction factor
Step-by-step explanation:
A value of 0.5 that is added to and/or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution is called continuity correction factor.
Reason -
A continuity correction factor is used when you use a continuous probability distribution to approximate a discrete probability distribution.
I really need to start paying attention in class
Answer:
41
Step-by-step explanation:
The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.1242 + 0.32 +3.3
for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2020 where
(2 = 10) (1 point)
• The number of vinyl album sales in the country in the year 2020 will be 20.5 million
The number of vinyl album sales in the country in the year 2020 will be 18.3 million
The number of vinyl album sales in the country in the year 2020 will be 7.74 million
O The number of vinyl album sales in the country in the year 2020 will be 21.12 million
Answer:
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Step-by-step explanation:
Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3 for 2010 through 2016.
To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where x = 10
a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.
d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.
Proof -
Given that,
The equation be - y = 0.12 x² + 0.3 x +3.3
Now,
Put x = 10 in above equation we get
y = 0.12×10² + 0.3×10 +3.3
= 0.12×100 + 3 + 3.3
= 12 + 6.3 = 18.3
⇒y = 18.3
∴ we get
The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
So,
The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
What is the slope of the line (5, 1) and (-3, -1)
1/6 of 3 yards= --------feet is it 1 1/2 or 1/2 or 3 or 1/18
Answer:
1/2 ft or 6 inches
Step-by-step explanation:
1/6 of 3 yards = 1/2 ft or 6 inches
Ashley purchased a prepaid phone card for $25. Long distance calls calls cost 19 cents a minute using this card. Ashley used her card only once make a long distance call. if the remaining credit on her cars is $19.49, how many minutes did her call last
Which two ratios represent quantities that are proportional?
20
24
10
O A. and
O B. and
O c. and 1
O D. 1 and 14
Answer:
c. 1 and 14
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i did the quiz
i need help on this question
Answer:
Mean = 59
Median = 56.5
Step-by-step explanation:
56 + 57 + 53 + 63 + 68 + 52 + 55 + 65 + 62 = 531
531 / 9 = 59
Mean = 59
52, 53, 55, 56, 57, 62, 63, 65, 68
Num between 56 and 57
56.5
Median = 56.5
Plz mark as brainliest if correct! Have a nice day!!!
-Lil G
Please answer !!!
30 points
A parallelogram has a base of 9 inches and a height of 11 inches. What is the area?
Answer:
99
Step-by-step explanation:
The formula is b x h = A
9 x 11 = A
9 x 11 = 99
A = 99
ps. PLZ give me brainliest!
Find the length of the third side. If necessary, round to the nearest tenth.
12
=========================================================
Work Shown:
a = 9, b = 12 are the two legs of the right triangle
c = unknown is the hypotenuse
Apply the pythagorean theorem to find c
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
81 + 144 = c^2
225 = c^2
c^2 = 225
c = sqrt(225)
c = 15
Answer:
15
Step-by-step explanation:
Since this is a right angled triangle we can use pythagoras theorem to work out the length of the hypotenuse, or the the longest side.
pythagoras theorem says that a²+b²=c² with c² being the hypotenuse, or missing side here.
12²+9²=225
Because 225 is equal to C², or C squared, we must take the square root in order to find the actual length.
√225 = 15
Neveah is baking pancakes. If each pancake requires 3/4 cups of flour, how many pancakes can she make with 4 cups of flour?
Answer:
3 pancakes
Step-by-step explanation:
Answer:
3 pancakes
Step-by-step explanation:
Multiply 3/4 by 4/1 and you get 12/4 (multiple the top numbers and the bottom numbers). Simplify that down, 12 divided by 4 is 3. So, 3 whole pancakes
What is the value of the 1 in the following number. 2043.61
Answer:
hundredths
Step-by-step explanation:
• right from the decimal point, the first value that comes starts from tens rather then ones
• we always add ' ths ' in every value from right to the decimal point
Write a recursive definition for the sequence below:
Answer:
First option
Step-by-step explanation:
In the sequence, the first term is -1. You add 5 to each term to get the next term. This is because -1 + 4 = 4, and so on. Thus, the correct sequence is the first option.
CAN SOMEONE HELP IM SO CONFUSED PLEASE
Determine if the following triangles are congruent
Answer:
∆ABC ≅ ∆EFD by the SSS Congruence Theorem.
Step-by-step explanation:
The digram shows that 3 sides of ∆ABC are congruent to the 3 sides of ∆ EFD.
Based on the Side-Side-Side Congruence Theorem (SSS), we can conclude that both triangles are congruent to each other.
Therefore:
∆ABC ≅ ∆EFD by the SSS Congruence Theorem.
A trigonometric identity derived from the Pythagorean theorem is called a ___ identity.
1) cosecant
2) cosine
3) Pythagorean
4) secant
5) cotangent
The answer is 3) Pythagorean.
A trigonometric identity derived from the Pythagorean theorem is called a Pythagorean identity.
How to complete the blank?Mathematically, the Pythagorean theorem states that
Hypotenuse^2 = Adjacent^2 + Opposite^2
Divide through by Hypotenuse^2
This gives
1 = cos^2(x) + sin^2(x)
Rewrite as:
cos^2(x) + sin^2(x) = 1
As a general rule, the above represents the basic Pythagorean identity.
Hence, the word that completes the blank is Pythagorean.
Read more about Pythagorean identity at:
https://brainly.com/question/1969941
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Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of flights is studied. Round the probabilities to four decimal places. Part 1 of 4 (a) Find the probability that all of the flights were on time. The probability that all of the flights were on time is . Part 2 of 4 (b) Find the probability that exactly of the flights were on time. The probability that exactly of the flights were on time is . Part 3 of 4 (c) Find the probability that or more of the flights were on time. The probability that or more of the flights were on time is . Part 4 of 4 (d) Would it be unusual for or more of the flights to be on time
Answer:
a) [tex]P(X = n) = (0.85)^{n}[/tex]
b) [tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]
c)
[tex]P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)[/tex]
For each value, we use
[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]
d) If [tex]x > E(X) + \sqrt{V(X)}[/tex], yes, otherwise no
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it arrived on time, or it did not. Flights are independent. This means that 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.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
A measure is said to unusual if it is more than 2.5 standard deviations from the mean.
85% of recent flights have arrived on time.
This means that [tex]p = 0.85[/tex]
(a) Find the probability that all of the flights were on time.
This is [tex]P(X = n)[/tex], in which n is the size of the sample studied.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = n) = C_{n,n}.(0.85)^{n}.(0.15)^{n-n}[/tex]
[tex]P(X = n) = (0.85)^{n}[/tex]
(b) Find the probability that exactly x of the flights were on time.
Exactly x of the flights: So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]
(c) Find the probability that x or more of the flights were on time.
This is
[tex]P(X \geq x) = P(X = x) + P(X = x+1) + ... + P(X = n)[/tex]
For each value, we use
[tex]P(X = x) = C_{n,x}.(0.85)^{x}.(0.15)^{n-x}[/tex]
(d) Would it be unusual for x or more of the flights to be on time?
If [tex]x > E(X) + \sqrt{V(X)}[/tex], yes, otherwise no
find the 6th term of 6,8,32/3
Answer: 25.284
Step-by-step explanation: