Answer:
p - > q is a = 4 then y = 3 equals
evaluate the expression, (g◦f)(3), given the following functions.
f(x)=x+2 and g(x)=x
[tex]f(x) = x + 2\\g(x) = x\\(g \circ f) = g(f(x)) = x + 2\\g \circ f)(3) = 3 + 2 = 5[/tex]
Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31.
=
V12 + 7108
122 + 1083
42. 33 + 362 - 31
8.32
Which expression can be placed in the blank to correctly complete Ellie's
proof?
Answer:
The answer to your question is given below.
Step-by-step explanation:
To know the correct answer to the question, do the following:
√12 + √108
= 12^½ + 108^½
= 4^½ • 3^½ + 36^½ • 3^½
Factorise
3^½ (4^½ + 36^½)
Recall:
4^½ = √4 = 2
36^½ = √36 = 6
Therefore,
3^½ (4^½ + 36^½) = 3^½ (2 + 6)
= 3^½ • 8
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
Step-by-step explanation:
In this case we need to test whether the proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
The hypothesis can be defined as follows:
H₀: The proportion of people who can correctly match a dog to their owner is 50%, i.e. p = 0.50.
Hₐ: The proportion of people who can correctly match a dog to their owner is more than 50%, i.e. p > 0.50.
The information provided is:
[tex]x=14\\n=16[/tex]
The sample proportion is:
[tex]\hat p=\frac {x}{n}=\frac{14}{16}=0.875[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.875-0.50}{\sqrt{\frac{0.50(1-0.50)}{16}}}\\\\=3[/tex]
The test statistic value is 3.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>3)\\\\=1-P(Z<3)\\\\=1-0.99865\\\\=0.00135\\\\\approx 0.0014[/tex]
The p-value is, p-value = 0.0014.
The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
The two triangles below are similar. Which pair are corresponding sides?
LN and MN
MN and QR
LM and QR
LM and PQ
hola estas ahi
MN and QR
Hope it helps...
How do you do this question?
Answer:
dy/dx = (2t + 3t²) / (2t)
Step-by-step explanation:
y = t² + t³
dy/dt = 2t + 3t²
x = 5 +t²
dx/dt = 2t
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t + 3t²) / (2t)
Pls help me I will give out points
Answer:
A, the first one
Step-by-step explanation:
On the left side, the graph is going closer to 0, that explains the first coordinate 0. On the right side, the graph approaches positive infinity, so that explains the infinity. I hope this helps!
6/10 as hundredths in fraction form and decimal form
Answer:
60/100 and .6
Step-by-step explanation:
Simplify 12x7y3 divided by 6x3y
Answer:
12x7y3
----------- = 6x4y3
6x3y
Step-by-step explanation:
In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.
How many squares are in the 11 squares
Answer:
11 Squares are there in 11 squares
Answer:
11
Step-by-step explanation:
because take your question and realize you put, "How many squares are in the 11 squares?"
(Sry if wrong or information misunderstood!)
Hi can someone pls help me on the last question (#5)
[tex]solution \: (a) \:: [/tex]
[tex] \frac{1}{7} x = 1[/tex]
[tex]x = 7[/tex]
[tex] solution \: (b) \:: \\ x \times \frac{1}{11} = 1[/tex]
[tex]x = 11[/tex]
[tex]solution \: (c) \:: [/tex]
[tex]1 \div \frac{1}{5} = x[/tex]
[tex]x = 5[/tex]
Yoshi needs to find the inverse of f(x) = 5x – 2. What is the first step?
Answer:
D. Replace f(x) with y
Step-by-step explanation:
apex
Yoshi needs to find the inverse of f(x) = 5x – 2. The first step is to Switch x and y. The correct answer is option C.
In mathematics, an inverse function is a function that "undoes" the actions of another function. If a function f(x) maps an input x to an output y, the inverse function, denoted as f^(-1)(x) or sometimes written as f(x)^(-1), maps the output y back to the original input x. The correct answer is option C.
To find the inverse of a function, the first step is to switch the x and y variables. In this case, the function is f(x) = 5x - 2.
To find the inverse, we need to switch x and y, so the new function becomes x = 5y - 2.
It's important to note that not all functions have an inverse. A function must be one-to-one (each input maps to a unique output) for an inverse to exist. Additionally, the domain and range of a function and its inverse are swapped.
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PLEASE HELP ASAP What part of 6 3/5 is 3 /10 ? PLS HELP ASAP
Answer:
the 3/5 part of 6 3/5
Step-by-step explanation:
3/5 is equal to 3/10 because when you find the common denominator of 10, you multiply 3/5 by 2 and 3/10 by 1 because 10 is already 10. 3/5*2=6/10.
Find the distance between the points (-3, 5) and (7, -1), round the nearest 10th, if nessasary.
Answer:
The answer is 11.7 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3, 5) and (7, -1)
The distance between them is
[tex]d = \sqrt{ ({ - 3 - 7})^{2} + ({5 + 1})^{2} } \\ = \sqrt{( { - 10})^{2} + {6}^{2} } \\ = \sqrt{100 + 36} \: \: \: \: \: \: \: \\ = \sqrt{136} \\ = 2 \sqrt{34} \\ = 11.66190378...[/tex]
We have the final answer as
11.7 units to the nearest tenthHope this helps you
You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $9 for heads and $21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $5 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.
The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value of X is:
[tex]E(X) = np\\[/tex]
You need to borrow money for gas, so you ask your mother and your sister.
You can only borrow money from one of them.
Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin.
She will give you $9 for heads and $21 for tails.
Your mother says she wants you to roll a six-sided die.
She will give you $5 times the number that appears on the die.
The expected value for a coin will be
[tex]E(X) = 1 \times 0.5 = 0.5[/tex]
The expected value for a dice will be
[tex]E(X) = 1 \times \dfrac{1}{6} = 0.1667[/tex]
You can easily receive $9/$21 from your sister, but it won't be as much as the dice, and you'll take a bigger risk with the dice because it has six sides.
The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.
Learn more about binomial distribution here:
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Which expressions are equivalent to 7x – 14? Check all that apply.
which expressions are equivalent to 7x-14?
14-7x
x – 2
–(14 – 7x)
7(x – 2)
3x – 14 + 4x
2x – 10 + 5x + 4
Answer:
–(14 – 7x) 7(x – 2)3x – 14 + 4x
Step-by-step explanation:
Answer:
The answers are c, d, and e
Step-by-step explanation:
Please help me answer this :)?
A submarine dives 20 meters each minute for 15 minutes. What is the total change in depth after 15 minutes?
Answer:
300m
Step-by-step explanation:
20 Times 15=300
As of a certain date, there had been a total of 14,649 performances of two shows on Broadway, with 2389 more performances of Show A than Show B. How many performances were there of each show? There were performances for Show A.
Subtract the difference:
14,649 - 2389 = 12,260
Divide that by 2
12,260 / 2 = 6,130
That is the number of shows for B.
For A add the 2,389 to the number of shows for B
2389 + 6130 = 8,519
Show A = 8,519
Show B = 6,130
Answer:
14,649 - 2389 = 12,260
Divide that by 2
12,260 / 2 = 6,130
That is the number of shows for B.
For A add the 2,389 to the number of shows for B
2389 + 6130 = 8,519
Show A = 8,519
Show B = 6,130
Step-by-step explanation:
45 2/3 + 30 1/2 + 12 3/4=?
(x+10)(3x+10) they are linear pair
Answer:
x = 40Step-by-step explanation:
(x+10)(3x+10) they are linear pair
means adds up and equates to 180
x + 10 + 3x + 10 = 180
4x + 20 = 180
x = 160 / 4
x = 40
question 9 i mark as brainliest
Answer:
I think the third one I'm not sure tho
Answer:95,826
Step-by-step explanation:
Lillian has 8 jars each with 240 milliliters of apple cider vinegar. How many liters of vinegar is in all 8 jars?
Answer:
1.92 litres
Step-by-step explanation:
1l=1000ml
1 jar=240ml=0.24l
8 jars= 240x8=1920ml=1.92l
a cupboard cost 2400 and was sold at a profit of 20% what is the selling price and profit in naira
Answer:
sold at 2880 profit of 480
Step-by-step explanation:
An account grows at an annual interest rate of r , so it grows by a factor of x=1+r each year. The function A(x)=800x 4 +350x 3 +500x 2 +600x gives the amount in the account after 4 years when the growth factor is x . What is the total amount in the account if the interest rate for the account is 3% each year? How much money was put into the account at the beginning?
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .
[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]
To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,
[tex]A(x)=800x^4+350x^3+500x^2+600x[/tex]
Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.
[tex]A(1.03)=800(1.03)^4+350(1.03)^3+500(1.03)^2+600(1.03)[/tex]
[tex]A(1.03)=800(1.12550881)+350(1.092727)+500(1.0609 )+618[/tex]
[tex]A(1.03)=900.407048+382.45445+530.45+618[/tex]
[tex]A(1.03)=2431.311498 [/tex]
[tex]A(1.03)\approx 2431.31 [/tex]
Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.
[tex]A(1)=800(1)^4+350(1)^3+500(1)^2+600(1)[/tex]
[tex]A(1)=800+350+500+600[/tex]
[tex]A(1)=2250[/tex]
Therefore, 2250 was put into the account at the beginning.
Determine the number of real or non real solutions of the equation listed below
using the discriminant.
x2 + x + 4 = 0
Answer:
x =(-1+√-15)/2=(-1+i√ 15 )/2= -0.5000+1.9365i
Step-by-step explanation:
I got two answers
B. A certain chocolate bar costs $50.00 per piece. However, if you buy more than
5 pieces they will mark down the price to P48.00 per piece. Use a piecewise
function to represent the cost in terms of the number of chocolate bars bought.
Answer:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
Step-by-step explanation:
A piecewise function is a function that acts differently in different regions of the domain.
In this case we know that:
P = $50.00 per piece if the number of pieces is less or equal than 5.
P = $48.00 per piece if the number of pieces is more than 5.
Then if we define our variable x as the number of pieces of chocolate, we can write the price function as:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
1/2 + 2 3/4
Help please (◍•ᴗ•◍)❤
Answer:
3 1/4
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
im going to change the fractions to decimals
1/2 = 0.5
2 3/4 = 2.75
0.5 + 2.75 = 3.25
now im going to switch it back to fraction
3.25 = 3 1/4
Find the coordinates of Point R so that it is 3/7 the distance from D to C. 15
(10 Points)
35
55
Answer:
you will know the answer by fractioning the 35and 55 then mutipy by 15 once you do that then it is the anwer you should get 5927.487
Step-by-step explanation:
How many repeating digits are in 0.64 repeating?
Answer:
There are no repeating digits
-3.5 , 2 , -3 , -1 , -1.5
Least to greatest
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
negatives to positives