Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
A function is a relationship between inputs where each input is related to exactly one output.
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
The quadratic function in vertex form is y = 2(x - 1)² + 2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = x + 2 is a function.
We have,
Quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
Now,
(h, k) = (1, 2)
Passes through (3, 10).
So,
10 = a(3 - 1)² + 2
10 = 4a + 2
8 = 4a
a = 2
Now,
The quadratic function in vertex form is y = 2(x - 1)² + 2
Thus,
The quadratic function in vertex form is y = 2(x - 1)² + 2.
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A sample from a population with μ = 40 and σ = 8 has a mean of M = 36. If the sample mean corresponds to a z = –1.00, then how many scores are in the sample?
Answer:
There are 4 scores in the sample.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
[tex]\mu = 40, \sigma = 8, X = 36, Z = -1, s = \frac{8}{\sqrt{n}}[/tex]
We want to find n. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1 = \frac{36 - 40}{\frac{8}{\sqrt{n}}}[/tex]
[tex]-4\sqrt{n} = -8[/tex]
[tex]4\sqrt{n} = 8[/tex]
Simplifying by 4
[tex]\sqrt{n} = 2[/tex]
[tex](\sqrt{n})^2 = 2^2[/tex]
[tex]n = 4[/tex]
There are 4 scores in the sample.
Part 2! Please help once again! This is confusing me since I've never been good at geo. :((
Answer:
B is the answer that is incorrect and must be rejected.
Step-by-step explanation:
A trapezoidal shape need not have a line of symmetry to be a trapezoid.
In the year 2001, a company made $5.5 million in profit. For each consecutive
year after that, their profit increased by 12%. How much would the company's
profit be in the year 2003, to the nearest tenth of a million dollars?
If you borrow $3,000 at 5% simple interest for 9 months how much will you owe in 9 months? How
much interest will you pay?
Answer: $150
Step-by-step explanation:
$3,000 x 5% = 150
Mario has 6 more marbles than Sandra. Let `s` represent the number of marbles that Sandra has. Write an expression that represents the number of marbles that Mario has.
Answer:
6+s
Step-by-step explanation:
six more marbles so add 6 to s
Assume that y varies inversely with x. If y = 7 when x = -2, find у when x = 7. y = ??
Answer:
-2
Step-by-step explanation:
y=k/x
Replace y with 7 and x with -2
7=k/-2 gives you -14
Then you can replace k with -14 and x with 7
y=-14/7 gives you -2
Select all multiples of the number: 9
Answer:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Step-by-step explanation:
hi
Answer:
9,18,27,36,45,54,63,72,81,90
Step-by-step explanation:
The invitations to a holiday party cost a total of $31.50 if each invitation cost $0.75 cents how many invitations were sent out
Answer:
42
Step-by-step explanation:
divide the total by the cost of each invite
please help me on this it is 55 points
Answer:
59/1
Step-by-step explanation:
An equation is shown.
2.2 - 53 -3=0
What are the solutions to the quadratic equation?
X=
X=
The answer is -53.8
Step-by-step explanation:
jSubtract
Please I need some help hereeeeeeeeee
HELP PLS I NEED HELP
Answer:
133
Step-by-step explanation:
180 - 47 = 133
Answer:
133°
Step-by-step explanation:
If we assume the the given to adjacent lines to be parallel then ,
The x and supplement of 47° will be equal since they will be corresponding angles .Therefore :-
=> x = 180° - 47°
=> x = 133° .
Hence the size of angle X is 133°Please helppp ASAPPP will mark brainliest
a) SR
b) QR
c) RW and RV
RT and RS
RU and RQ
Can someone help quick please
Answer:
PC = 4 cm
Step-by-step explanation:
AP = 4 cm
Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.
PC = AP because corresponding parts of congruent triangles are congruent.
cuánto es 567 + 678 es igual
Answer: 1245 :)
Step-by-step explanation:
Answer:
la respuesta es 1245
567+678=1245
A
9x - 40
B
3x + 20
x = [?]
Answer:
x = 10
Step-by-step explanation:
9x - 40 = 3x + 20
9x - 3x - 40 = 3x - 3x + 20
6x - 40 = 20
6x - 40 + 40 = 20 + 40
6x = 60
6x / 6 = 60 / 6
x = 10
Now plug the x value in the equation to make the statement true that A is parallel to B.
9x - 40
9(10) - 40
90 - 40
50
3x + 20
3(10) + 20
30 + 20
50
Therefore, x = 10 making the statement true that A is parallel to B. Hope this helps and stay safe, happy, and healthy, thank you :) !!
Answer: 10
Step-by-step explanation:
I need help with this, pls put step by step
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter.
Two cells are measured using this method:
Cell G: 4.21 x 10-3 centimeters
Cell H: 9.2 x 10-4 centimeters
How many times larger is the diameter of cell G than the diameter of cell H?
Write your answer in standard notation, rounding to the nearest tenth.
Answer:
Step-by-step explanation:
The answer is 6.868 10
The number of times that diameter of cell G is larger than diameter of Cell H is; 46 × 10¯¹ times
We are given;
Diameter of Cell G = 4.21 × 10^(-3) cmDiameter of Cell H = 9.2 × 10^(-4) cmNow, to find how much more larger the diameter of cell G is than diameter of cell H, we will divide the diameter of cell G by the diameter of cell H to get;
(4.21 × 10^(-3))/(9.2 × 10^(-4)) = 4.6
Thus,diameter of cell G is 4.6 times larger than diameter of Cell H
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Help please I really need it
Answer:
40%
Step-by-step explanation:
it ads up to 90, so 50+x=90 x=40
Answer:
40° as it is a right angle
then 90 - 50= 40
3. Given f(x)=-2(5)
Find f (4)
Answer:
f
(
x
)
=
2
, means, whatever be the value of
x
, f(x)=2#.
∴
f
(
−
4
)
=
2
.
The area of the triangle below is 23.4 square inches. What is the length of the base?
6 in is the height
Answer:
543
Step-by-step explanation:
i am smart
the simplified form of (2^a)(2^b)(2^c) is
Answer:
Step-by-step explanation: hope this helps!
Please can someone answer this I don’t get it!!! 5 points and Brainly:)
Answer:
the answer will be 39cm yes
4 5/6 + 5 7/8 please help asap tysm
Answer:
the answer to the question is 10 17/24
Which is the volume of the solid?
Answer: the answer is A
Step-by-step explanation:
can someone help me? I have to turn it on by tomorrow :(
Answer:
The terms in #4 are 2500, 11t, and -3w
The terms in #5 are 17 and 4d
0.8 -0.50 3 with solution
Answer:
0.3
Step-by-step explanation:
Answer:
0.8-0.503=0.297
0.8-0.50= 0.3
Step-by-step explanation:
What is a common denominator?
least common denominator is the lowest common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.
Answer:
12
Step-by-step explanation:
Because it is the lowest number that both 4 and 6 can reach by multiplying with whole numbers
:)
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 24 in
x 18 in x 16 in. The company rents a storage space that measures 400 ft x
240 ft x 60 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 576,000 boxes
B. 1,440,000 boxes
C. 6912 boxes
D. 972,000 boxes
Answer:The answer is c
Step-by-step explanation:
The best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes.
What is volume?
Volume is the three-dimensional space enclosed by a three-dimensional object.
We have to find the volume of the box and the volume of the storage space.
The volume of the box:Volume = length × breadth × height
= 24 × 18× 16 in³
=6912 in³
The volume of the storage space:Volume = length × breadth × height
= 400 × 240 × 60 ft³
= 5760000 ft³
We have to convert this into inches. We know that 1 foot = 12 inches.Therefore, 5760000 ft³ = 5760000 × (12)³ in³
We have to divide the volume of the storage space by the volume of the box to find the number of boxes that it can fit:Number of boxes that can fit inside the storage space = (5760000 × (12)³ in³)/6912 in³
= 1440000 boxes.
Thus, the best estimate of the number of boxes Graphic DesignWorks is able to store is 1440000 boxes. The correct answer is option B.
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you post 2 vidoes online. In the first hour video a gets 7 views video b gets 9 times as many. how many more views does video b get?