Answer:
Step-by-step explanation:
In similar polygons, corresponding sides are in proportion.
Scale factor k = [tex]\frac{JK}{EF} = \frac{20}{8}=\frac{5}{2}[/tex] = 5 : 2
I really need to start paying attention in class
Answer:
41
Step-by-step explanation:
QUESTION 2
[16]
Given the sequence: 2; 5; 8; 11; 14...
Prove that none of the terms of this sequence are perfect squares.
PLEASE HELP!!
Answer:
✓2=1.41421
✓5=2.23607
✓8=2.82842
✓11=3.31662
✓14=3.74166
Step-by-step explanation:
Therefore the numbers are increasing by three so they cant be perfect square
9514 1404 393
Answer:
squares are of the form 3n or 3n+1; the sequence is of the form 3n-1, so none of the sequence will be a square
Step-by-step explanation:
The given arithmetic sequence has first term 2 and common difference 3, so its explicit formula is ...
an = 2 +3(n -1) = 3n -1 . . . . for counting numbers n
__
All integers are of one of these forms: 3n-1, 3n, 3n+1, for some integer n. The squares of these are ...
(3n -1)² = 9n² -6n +1 = 3(3n² -2) +1 = 3k+1 for some k
(3n)² = 3(3n²) = 3k for some k
(3n +1)² = 9n² +6n +1 = 3(3n² +2) +1 = 3k+1 for some k
Note that none of these squares is of the form 3n -1.
Hence, the square of an integer cannot be in the given sequence.
CAN SOMEONE HELP IM SO CONFUSED PLEASE
Why does the quotient of 8 ÷ 1 not change when we add a place value in the dividend and the divisor to make 80 ÷ 10?
Answer:
Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.
So you would need to multiply 1 8 times in order to produce the dividend,
Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.
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
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.
The sum of four numbers is 540. One of the
numbers, x, is 50% more than the sum of the other
three numbers. What is the value of x?
Answer:
chale. necesita. 20 caracteres
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
i need help. please, I do not understand much
Answer:
x ≥ -6
Domain is just all of the possible x values in a list
Each of 5 friends got a full box of snacks and an extra 6 snacks. Write an equation to show how many snacks are in all those boxes and all those extra snacks.
I need help fast please
Answer:
what
Step-by-step explanation:
where is the question its not showing
PLEASE HELP PLESD PLED
Answer:B
Step-by-step explanation: ok its B because i need some $$$
Answer:
D and E
Step-by-step explanation:
The question asks which one would always form an image that is congruent to the pre-image.
Note that Translation, Reflection, and Rotation do not change the size or shape of the pre-image while Dilation will change the size of your pre-image.
Therefore, the most likely answer would be options D and E that do not include dilation in their series of transformations so the image will not change its size making it congruent to the pre-image.
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.
Suppose that a researcher using data on class size (CS) and average test scores from 100 thirdgrade classes, estimates the following OLS regression. Test̂Score = 520.4 − 5.82 × CS n = 100, R 2 = 0.08, SER = 11.5
a. A class has 22 students. What is the regression’s prediction for this classroom’s average test score?
b. Last year, a class had 19 students, and this year it has 23 students. What is the regression’s prediction for the change in the classroom average test score?
c. The sample average class size across the 100 classrooms is 21.4. What is the sample average of the test scores across the 100 classrooms?
d. What is the sample standard deviation of test scores across the 100 classrooms?
This question is incomplete, the complete question is;
Suppose that a researcher using data on class size (CS) and average test scores from 100 third grade classes, estimates the following OLS regression. Test-Score = 520.4 - 5.82 × CS, n = 100, R² = 0.08, SER = 11.5
a. A class has 22 students. What is the regression's prediction for this classroom's average test score?
b. Last year, a class had 19 students, and this year it has 23 students. What is the regression's prediction for the change in the classroom average test score?
c. The sample average class size across the 100 classrooms is 21.4. What is the sample average of the test scores across the 100 classrooms?
d. What is the sample standard deviation of test scores across the 100 classrooms?
Answer:
a)
the regression's prediction for this classroom's average test score is 392.36
b)
the regression's prediction for the change in the classroom average test score is -23.28
c)
the sample average of the test scores across the 100 classrooms is 395.852
d)
the sample standard deviation of test scores across the 100 classrooms is 11.92887
Step-by-step explanation:
Given the data in the question;
Test-Score = 520.4 - 5.82 × CS, n = 100, R² = 0.08, SER = 11.5 -----1
the general formula for the average test score is as follows;
Test score = ^β₀ + ( ^β₁ × CS ) -------- 2
the general for change in test score ;
ΔTest Score = β[tex]_{ class-size[/tex] × ΔClass size -------- 3
General formula for the sum of squared residuals SSR
SSR = ( n - 2 ) SER² ----- 4
General formula for total sum of squares TSS
TSS = SRR / 1 - R² -------- 5
General formula for sample standard deviation;
Sy = √(TSS / (n-1) ) ------ 6
now, from the given formula;
^β₀ = 520.4
aslo, β[tex]_{ class-size[/tex] = ^β₁ = - 5.82
so
a) A class has 22 students. What is the regression's prediction for this classroom's average test score?
given that class size CS is 22, to get the regression's prediction for this classroom's average test score, we make use of formula 2 above;
Test score = ^β₀ + ( ^β₁ × CS )
so we substitute
Test score = 520.4 + ( -5.82 × 22 )
Test score = 520.4 + ( - 128.04 )
Test score = 520.4 - 128.04
Test score = 392.36
Therefore, the regression's prediction for this classroom's average test score is 392.36
b) Last year, a class had 19 students, and this year it has 23 students. What is the regression's prediction for the change in the classroom average test score.
we make use of formula 3 above
ΔTest Score = β[tex]_{ class-size[/tex] × ΔClass size
we substitute
ΔTest Score = -5.82 × ( 23 - 19 )
ΔTest Score = -5.82 × 4
ΔTest Score = -23.28
Therefore, the regression's prediction for the change in the classroom average test score is -23.28
c) The sample average class size across the 100 classrooms is 21.4. What is the sample average of the test scores across the 100 classrooms?
we make use of formula 2 above;
Test score = ^β₀ + ( ^β₁ × CS )
we substitute
Test score = 520.4 + ( -5.82 × 21.4 )
Test score = 520.4 + ( -124.548 )
Test score = 520.4 - 124.548
Test score = 395.852
Therefore, the sample average of the test scores across the 100 classrooms is 395.852
d) What is the sample standard deviation of test scores across the 100 classrooms.
first we make use of formula 4 above; to calculate the sum of squared residuals SSR
SSR = ( n - 2 ) SER²
we substitute
SSR = ( 100 - 2 ) (11.5)²
SSR = 98 × 132.25
SSR = 12,960.5
Also, for total sum of squares TSS, we use formula 5
TSS = SRR / 1 - R²
we that R² = 0.08; from the given formula
so we substitute
TSS = 12,960.5 / 1 - 0.08
TSS = 12,960.5 / 0.92
TSS = 14087.5
so, the sample standard deviation will be;
from formula 6 above
Sy = √(TSS / (n-1) )
we substitute
Sy = √(14087.5 / (100-1) )
Sy = √(14087.5 / 99)
Sy = √142.297979
Sy = 11.92887
Therefore, the sample standard deviation of test scores across the 100 classrooms is 11.92887
45*67=? No cheating do not look up answer
Answer:
3015
Step-by-step explanation:
Can somebody help me please (whoever the first person to answer gets a thanks)
Answer:
4
Step-by-step explanation:
the total height is 12 and the first half of the shape has a height of 8 so the other part is 4.
Help pleaseeeeeeee thanks
Answer:
so the answer is 5
Step-by-step explanation:
the equation will be for this is
7x + 20 = 55
7x = 55-22
7x = 35
x = 35÷7
x=5
4a²-8ab+4b=????????????
Step-by-step explanation:
4a² - 8ab + 4b²
= (2a)² - 2 * 2a * 2b + (2b) ²
= (2a - 2b) ²
Hope it helps :)
You and your friend each deposit $50 in separate savings accounts. Your account earns 4% simple annual interest. Your friend’s account earns 6% simple annual interest. How long does it take for you to earn $12 in interest? How long does it take for your friend to earn $12 in interest?
review the graph. What is the component form and direction of the vector shown
a.) ⟨7,-3⟩ and 23 degrees
b.) ⟨-7,3⟩ and 23 degrees
c.) ⟨7,-3⟩ and 157 degrees
d.) ⟨-7,3⟩ and 157 degrees
Answer:
D
Step-by-step explanation:
Ed2021
Find angle measure angle AEC?
Answer:
An arc is a segment of a circle around the circumference. An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees, and we can easily convert between each with the formula
π
r
a
d
i
a
n
s
=
180
°
.
Step-by-step explanation:
What is the slope of the line (5, 1) and (-3, -1)
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.
Marcy sees a game, Rolling-in-Gold, in which a contestant rolls a
cube with five red sides one gold side. A player wins the game
by rolling a gold. Is Rolling-in-Gold a fair game? If not, how
could the game be made fair? Explain.
Answer:
it's not fair, because it's only a 1 in 6 chance of rolling gold.
it would be fair if 3 of the 6 sides were gold
Answer:
it aint fair it only 1/6 listen to the other guy
Step-by-step explanation:
i needed points sorry
Find the slope and the y-intercept of the line. 2 y=- x+2 5
help please I need it now
Answer: Y = -x/2 + 12.5
Step-by-step explanation:
You wrote the equation strange so i don't really know if the end of the equation is a 25 or not
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.
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
#SPJ2
Suppose your friends parents invest $20,00 in an account paying 5% compounded annually. What will the balance be after 8 years? The account balance will be $
Answer:
$2954.91 end of year eight
Step-by-step explanation:
2000 x 1.05^8 = 2000 x 1.04775 = $2954.91
Proof:
2000 x 1.05 = 2100 end of year one
2100 x 1.05 = 2205 end of year two
2205 x 1.05 = 2315.25 end of year three
2315.25 x 1.05 = 2431.01 end of year four
2431.01 x 1.05 = 2552.56 end of year five
2552.56 x 1.05 = 2680.19 end of year six
2680.19 x 1.05 = 2814.20 end of year seven
2814.20 x 1.05 = $2954.91 end of year eight
Please answer !!!
30 points
Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3). Find the coordinates of G.
The coordinates of G are
Answer:
Coordinates of G = [tex](2,0)[/tex]
Step-by-step explanation:
Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).
To find: coordinates of G
Solution:
Midpoints of a side joining points [tex](a,b),\,(c,d)[/tex] are given by [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Diagonals of a parallelogram bisect each other.
So,
Midpoint of DF = Midpoint of EG
Midpoint of DF = [tex](\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})[/tex]
Midpoint of EG = [tex](\frac{-3+x}{2},\frac{1+y}{2})[/tex]
Let coordinates of G be [tex](x,y)[/tex]
Therefore,
[tex](\frac{-1}{2},\frac{1}{2}) =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0[/tex]
So,
Coordinates of G = [tex](2,0)[/tex]