Answer:
SA = 2280 cm²
Step-by-step explanation:
bottom & top = 40 x 12 x 0.5 x 2 = 480
sides = (13x20) + (40)(20) + (37)(20) = 1800
1800 + 480 = 2280 cm²
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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what is
2/4 × 3
please help me!
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
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.
CAN SOMEONE HELP IM SO CONFUSED PLEASE
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:
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
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
Please answer !!!
30 points
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.
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.
Answer please help confused
Answer:
x = 9.7
Step-by-step explanation:
tan 68° = 24/x
2.4751 = 24/x
x = 9.7
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:
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.
45*67=? No cheating do not look up answer
Answer:
3015
Step-by-step explanation:
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
4a²-8ab+4b=????????????
Step-by-step explanation:
4a² - 8ab + 4b²
= (2a)² - 2 * 2a * 2b + (2b) ²
= (2a - 2b) ²
Hope it helps :)
I really need to start paying attention in class
Answer:
41
Step-by-step explanation:
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!
If JKLM is a rectangle, JL = 2x+5 and MK =7x-40. Find x and MK
Answer:
x = 9
MK = 23
Step-by-step explanation:
LL = MK (diagonals)
2x+5 = 7x-40
5x = 45
x = 9
MK = 7(9) -40
MK = 23
Answer:
Step-by-step explanation:
In a rectangle, diagonals are congruent
MK = JL
7x - 40 = 2x + 5 {Add 40 to both sides}
7x - 40 + 40 = 2x + 5 +40
7x = 2x + 45 {Subtract 2x form both sides}
7x - 2x = 2x - 2x + 45
5x = 45 {Divide both sides}
5x/5 = 45/5
x = 9
MK = 7x - 40
= 7*9 - 40
= 63 - 40
MK = 23
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
find the 6th term of 6,8,32/3
Answer: 25.284
Step-by-step explanation:
Find the value of x in the triangle shown below
X=2
X=5
X= √5
X= √17
Answer:
the answer is [tex]\sqrt{17}[/tex]
Step-by-step explanation:
the Pythagorean theorem is [tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]. c is always the hypotenuse (the longest side) and a and b are the legs (the shorter sides) so 1 squared plus 4 squared is 17. there is no whole square root of 17 so the answer is [tex]\sqrt{17}[/tex]
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%
Find the slope of the line in the following graph. Be sure to leave slope in simplest, fraction form.
Answer:
1/2
Step-by-step explanation:
2-(-1)/9-3
= 3/6
=1/2
What is the slope of the line (5, 1) and (-3, -1)
A rectangular yard measuring 32 ft by 53 ft is bordered by a fence. Inside, a walk that is 4 ft wide goes all the way along the fence. Find the area of this walk.
Answer:
the answer will be 14840
Answer:
616
Step-by-step explanation:
32*53=1696
24*45=1080
1696-1080
616
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
Which graph is an exponential growth model?
А
В
С
Answer:
The graph that have an exports growth model is A.
The last option is school librarian PLEASE HELP ASAP MY COUSIN NEEDS HELP
Answer:
All parents in the school
Step-by-step explanation: