Answer:
yhat=1.36+0.74x
when x=7 then yhat=6.54
Step-by-step explanation:
Th regression equation is
yhat=a+bx
where slope b is
[tex]b=\frac{nsumxy-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]
and intercept a is
a=ybar-bxbar
x 4 5 2 6 9
y 4 6 2 7 7
xy 16 30 4 42 63
x² 16 25 4 36 81
n=5.
sumx=26.
sumy=26.
sumx²=162.
sumxy=155.
[tex]b=\frac{5*155-(26)(26)}{5*162-(26)^{2} }[/tex]
[tex]b=\frac{99}{134 }[/tex]
b=0.7388
b=0.74 (rounded to 2 decimal places)
xbar=sumx/n=26/5=5.2
ybar=sumy/n=26/5=5.2
a=ybar-b*xbar
a=5.2-0.7388*5.2
a=5.2-3.8418
a=1.3582
a=1.36 (rounded to 2 decimal places)
Thus, the required regression equation is
yhat=1.36+0.74x
When x is 7 this gives yhat
yhat=1.36+0.74*7
yhat=1.36+5.18
yhat=6.54
PLZZZZZZZZ HELP ME I WILL GIVE BRAINLIEST TO THE FASTEST AND MOST ACCURATE
give another name for r
I would have to say its AB<----
But im not 100% sure I wish you luck.
The solution to the compound inequality are____
Answer:
-1 < x ≤ 2
Step-by-step explanation:
-2 < 2x ≤ 4
Divide by 2
-2/2 < 2x/2 ≤ 4/2
-1 < x ≤ 2
Open circle at -1 line going to the right to a closed circle at 2
Find the heigt and width of the box. PLEASE HELP I’m having a lot of trouble on this.
Answer:
The height and width are both 12 inches.
Step-by-step explanation:
2304/16=144
√144=12
HELP!! 30 POINTS!!! 2 and 3!!!
Replace x with each value and solve :
2 x 2^1 = 2 x 2 = 4
2 x 2^2 = 2 x 4 = 8
2x 2^3 = 2 x 8 = 16
2x 2^4 = 2 x 16 = 32
2 x 2^5 = 2 x 32 = 64
Now mark two points on the graph: (1,4) and (2,8) and draw a straight line though both points
The image is not rotated correctly...
Answer:
Q#2 y;; 4 8 16 32 64
Q#3 given below;
Step-by-step explanation:
A zookeeper divided 3,570 pounds of food equally among 7 elephants.
How many pounds of food did each elephant receive?
Each elephant received
pounds of food.
Answer:
[tex] \boxed{\sf Amount \ of \ food \ each \ elephant \ receive = 510 \ pounds} [/tex]
Given:
Total amount of food = 3,570 pounds
Total number of elephants = 7
To Find:
Amount of food each elephant receive
Step-by-step explanation:
7 elephants receive = 3,570 pounds
[tex] \sf 1 \: elephant \: receive = \frac{3570}{7} \: pounds[/tex]
= 510 pounds
So,
Amount of food each elephant receive = 510 pounds
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter x2 as x^2.
The answer : (x-5)^2 .....................................(x-5)square
For example, for f(x)= x square . For x=1 ,then, y=1 .
But consider the g function. the minimum value that g function has is x is 5. When x is 5, y is 0 . So (x-5)square is the equation of this function.
The complete equation of the blue graph is (x-5)^2.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Red graph equation= X^2
Now,
In blue graph it shifted by 5 units to the right
For blue graph
x=5
Putting the value of x in red graph equation
=(x-5)^2
=x^2 + 25 - 10x
Therefore, by the given graph function will be (x-5)^2.
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Which statement about the two values of the digits 4 is correct 10 times more, 40 times more, 100 times more, 400 times more
In the number 1,034,456
Answer:
10 times more
Step-by-step explanation:
Step 1: Find the 2 '4' values
Value 1 is 400
Value 2 is 4,000
Step 2: Divide the lager number with the smaller number
4,000 / 400 = 10
Therefore the first digit is 10 times more than the second digit(Looking from left to right)
Write the following relation as a linear equation in standard form. Include a space between terms and operations.
B={(x, y): (2, 3), (4,4), (6,5), ...}
Answer:
In the form of
Y= mx+c
Y= 1/2x +2
m = 1/2
Step-by-step explanation:
A linear equation in it's standard form is in the format
Y= mx+c
Where m is the slope and c is the y intercept
Let's use these two points to determine both the slope and the equation
(2, 3), (4,4)
Slope= (y2-y1)/(x2-x1)
Slope= (4-3)/(4-2)
Slope= 1/2
Equation of the linear function
(Y-y1)/(x-x1)= m
(Y-3)/(x-2)= 1/2
2(y-3) = x-2
2y -6 = x-2
2y= x-2+6
2y= x+4
Y= 1/2x +2
round 5.36909546581 to 5 decimal places.
Answer:
5.36910
Step-by-step explanation
whatever you see like 95 can round up to 100.
5.369095... you just round up 95 to 100.
5 decimal is 5.36910
The number 5.36909546581 which is needed to be rounded off up to 5 decimal places is 5.36910.
What are decimal numbers?The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. The method of representing numbers in the decimal system is commonly referred to as decimal.
Given the number 5.36909546581 which is needed to be rounded off up to 5 decimal places. Therefore, if we look at the sixth place after the decimal it is equal to 5.
Thus, fifth place is needed to be rounded off to the next number.
Hence, the number 5.36909546581 which is needed to be rounded off up to 5 decimal places is 5.36910.
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Often, anomalous objects are known as _____, since on a scatter plot of the data, they lie far away from other data points.
Answer:
outliers
Step-by-step explanation:
An outlier is a data point that is significantly different from other observations. An outlier might be due to inconsistency in measurements, or due to an error introduced into the experiment. Outliers cans lie extremely high or low of other observation in statistics, and they usually create a big problem for proper analysis.
Which is closest to the distance between A and B on the number
line?
A) -9
B) -5
C) 13
D) 5
E) 12
Answer:
C) 13
Step-by-step explanation:
A on the number line is about -5 and B is 8. Act as if there wasn't a negative sign in front of the 5. Add the two numbers together the get the distance.
2. Which scales are equivalent to 1 inch to 1 foot? Select all that apply.
A. 1 to 12
B. 1 to 1
C. 100 to 0.12
. D. 5 to 60
E. 36 to 3
F. 9 to 108
Answer:
A option is correct
Step-by-step explanation:
We know that one foot contain 12inches so 12 inches is equal to one foot
There are 36 inches is equivalent to 3 feet which scales is the correct answer would be option (E).
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We know that one foot contains 12 inches.
Therefore 12 inches equal one foot
According to option (E),
36 inches is equivalent to 3 feet.
Therefore, the correct answer would be an option (E).
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. Which sentence contains a proper noun? Users of electronic databases can check a library’s catalog to see which books are available. Using computers, people can obtain goods directly from manufacturers in other countries. The Internet is a communication network that gained popularity in the 1990s. With the capabilities provided by the computer, users can research products, services, and companies online.
Step-by-step explanation:
A proper noun is a specific name for a particular person, place, or thing.
The Internet is a communication network that gained popularity in the 1990s.
A proper noun should always start with a capital letter, whether at the start or middle of a sentence.Which of the following is the correct formula for distance?
(A.) d= (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(B.) d= sqrt (x2+x1)^2+(y2+y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
(D.) d= sqrt (x2-x1)+(y2-y1), where d is the distance between points (x1,y1) and (x2,y2).
Answer:
(C.) d= sqrt (x2-x1)^2+(y2-y1)^2, where d is the distance between points (x1,y1) and (x2,y2).
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{\mathrm{C }}[/tex]
Step-by-step explanation:
[tex]\sf The \ distance \ formula \ is \ given \ as:[/tex]
[tex]d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2 }[/tex]
[tex]d \Rightarrow \sf distance[/tex]
[tex](x_1,y_1) \Rightarrow \sf Coordinates \ of \ the \ first \ point[/tex]
[tex](x_2,y_2) \Rightarrow \sf Coordinates \ of \ the \ second \ point[/tex]
Convert 8 centimeters into yards. Round your answer to the nearest hundredth
Answer: 0.08 yards
Step-by-step explanation: 1 centimeter equals to about 0.01 yards. You have to multiple 0.01 to 8 and it will give 0.08 yards.
Answer:
x = 0,087489064
Step-by-step explanation:
1 cm = 0.010936133 yards
8 cm = x
x = 8 cm x 0.010936133 yards/ 1 cm
x = 0,087489064
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. nothing% of all random samples of people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. B. It can be said that nothing% of the population has a driving distance to work (in miles) that is between the interval's endpoints. C. With nothing% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. D. With nothing% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
Answer:
With 99 % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints [19.91 miles, 31.49 miles] .
Step-by-step explanation:
The complete question is: In a random sample of six people, the mean driving distance to work was 25.7 miles and the standard deviation was 6.7 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean mu is left parenthesis 14.7 comma 36.7 right parenthesis (and the margin of error is 11.0).
Through research, it has been found that the population standard deviation of driving distances to work is 5.5 . Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99 % confidence interval for the population mean mu .
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.)
A. nothing % of all random samples of six people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.
B. With nothing % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
C. It can be said that nothing % of the population has a driving distance to work (in miles) that is between the interval's endpoints.
D. With nothing % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
We are given that in a random sample of six people, the mean driving distance to work was 25.7 miles and the standard deviation was 6.7 miles.
Through research, it has been found that the population standard deviation of driving distances to work is 5.5 .
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean driving distance to work = 25.7 miles
[tex]\sigma[/tex] = population standard deviation = 5.5 miles
n = sample of people = 6
[tex]\mu[/tex] = population mean driving distance to work
Here for constructing a 99% confidence interval we have used a One-sample z-test statistics because we know about the population standard deviation.
So, 99% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level
of significance are -2.58 & 2.58}
P(-2.58 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 2.58) = 0.99
P( [tex]-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.99
P( [tex]\bar X-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.99
99% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]
= [ [tex]25.7-2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] , [tex]25.7+2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] ]
= [19.91, 31.49]
Therefore, a 99% confidence for the population mean is [19.91, 31.49] .
The margin of error here is = [tex]2.58 \times {\frac{\sigma}{\sqrt{n} } }[/tex]
= [tex]2.58 \times {\frac{5.5}{\sqrt{6} } }[/tex] = 5.793
With 99 % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints [19.91, 31.49] .
The breaking strength of hockey stick shafts made of two different graphite-Kevlar composites yield the following results (in newtons):
Composite A: 487.3 444.5 467.7 456.3 449.7 459.2 478.9 461.5 477.2
Composite B: 488.5 501.2 475.3 467.2 462.5 499.7 470.0 469.5 481.5
485.2 509.3 479.3 478.3 491.5
Assuming normality, can you conclude that the mean breaking strength is smaller for hockey sticks made from composite B by at least 2 newtons? Carry out the appropriate test by hand.
Answer:
We reject H₀
we don´t have evidence to claim the strength of composite B is smaller than the strength of composite B by at least 2 [N]
Step-by-step explanation:
From data, we calculate μ₁, s₁ and, μ₂, s₂ mean and standard deviation of samples A and B respectively
μ₁ = 464,7 s₁ = 13,42 Composite A
μ₂ = 479,49 s₂ = 13,38 Composite B
n₁ ; n₂ < 30 then we should use t -student table
Test Hypothesis:
Null Hypothesis H₀ μ₂ - μ₁ >= 2
Alternative Hypothesis Hₐ μ₂ - μ₁ < 2
Assuming CI 95 % α = 5 % α = 0,05 and degree of freedom is
df = n₁ + n₂ - 2 df = 9 + 9 - 2 df = 16
Then for a one tail test t(c) = 1,746 and to compte t(s)
t(s) = ( μ₂ - μ₁ - 2 ) / sp * √ 1/n₁ + 1/n₂
sp² = ( n₁ - 1 )*s₁² + ( n₂ - 1 )*s₂² / n₁ + n₂ - 2
sp² = 8 * (13,42)² + 8 * (13,38)² / 16
sp² = (8 * 180,1 + 8 * 179) / 16
sp² = 179,55
sp = 13,40
then
t(s) = ( 479,49 - 464,7 - 2 ) / 13,40*√1/9 +1/9
t(s) = 12,79 / 13,40*0,4714
t(s) = 12,79/6,32
t(s) = 2,02
t(s) > t(c)
2,02 > 1,746
t(s) is in the rejection region, therefore we reject H₀ we don´t have evidence to claim the strength of composite B s smaller than the strength of composite B by at least 2 [N]
What is the area of a circle with a diameter of 6?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28.28 \: }}}}}[/tex]
Step-by-step explanation:
Given, diameter of a circle = 6
pi ( π ) = 22 / 7
Finding the radius of the circle
We know that the radius of a circle is just half of the diameter. So, 6 / 2 = 3
Finding the area of circle having radius of 3
[tex] \boxed{ \sf{area \: of \: circle = \pi \: {r}^{2} }}[/tex]
plug the values
⇒[tex] \sf{area \: of \: circle = \frac{22}{7} \times {3}^{2} }[/tex]
Evaluate the power
⇒[tex] \sf{area \: of \: circle = \frac{22}{7} \times 9}[/tex]
Calculate
⇒[tex] \sf{area \:of \: circle = 28.28 \: }[/tex]
Hope I helped!
Best regards! :D
At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults. Write the ratio of the number of boys to the number of girls. Type your answer either in the format: 3:4 with no spaces, OR in the format 3 to 4.
Answer:
the ratio will be 132 to 89
The ratio is 132 : 89.
What is ratio?A comparison of two quantities by division is called a ratio and the equality of two ratios is called proportion. A ratio can be written in different forms like x : y or x/y and is commonly read as, x is to y.
Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b
Given:
Boys= 132
girls= 89
adults= 14
So,
the ratio of number of boys to number of girls is
= 132/89
=132 : 89
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What is the sum of ( − 5.5) and the product of 5 3 and the number that is 100 greater than (− 5.5)?
Answer:
- 5.5 + ( 5/3 ) x( 100-5.5) ( as per statement given)
-5.5 + (5/3)x(94.5) = -5.5 + 5x31.5 = -5.5 + 157.5
=152
Step-by-step explanation:
What is the Area of the region shown below?
Answer:
B) 47 units²
Step-by-step explanation:
It can be done by finding the area of the black, but it will be much easier to find the area of the white and subtract.
Total area of the grid equals 10x8=80
There are two rectangles at the bottom. 6+8=14
There are 4 triangles that each equal 4.5. 4.5*4=18
There is 1 small triangle at the top that equals 1.
80-14-18-1=47
Alewuya recently hired a landscaper to do some necessary work. On the final bill, Alewuya was charged a total of $361. $265 was listed for parts and the rest for labor. If the hourly rate for labor was $32, how many hours of labor was needed to complete the job?
Answer:
361-265＝96
96÷32＝3
3hours of labor was needed to complete the job
Let L1 be the line containing points (8, -4) and (2, -5), and let L2 be the line containing points (10, 9) and (15, -21). Find the slope of each line.
Sally had 150 dollars to spend on 9 books. After
buying them she had 15 dollars. How much did each book cost
Answer:
Each book costs $15 dollars
Step-by-step explanation
150-15=135
135/9=15
$15
claire and her classmates placed the colored block on a scale during a science lab the blue block weighed 0.9 pounds and the green block weighed 0.07 how much more did the blue block weigh than the green block?
Answer:
0.83
Step-by-step explanation:
.9 which is .90 minus the weight of the blue block which is.07 is equal to .83 thus making it your answer.
The blue block weighs 0.2 pounds more than the green block.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The difference between the weights of the colored blocks is how more the blue block weighs than the green block which is,
= (0.9 - 0.7).
= 0.2 pounds.
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Perform the operation. (Write fractional answers in simplest form.) 8x/3 ÷ 6/7
Answer:
[tex]\frac{28x}{9}[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
[tex]\frac{8x}{3} /\frac{6}{7}[/tex]
Step 2: KCF (Keep Change Flip)
[tex]\frac{8x}{3} (\frac{7}{6})[/tex]
Step 3: Multiply
[tex]\frac{56x}{18}[/tex]
Step 4: Simplify
[tex]\frac{28x}{9}[/tex]
Answer:
28x/9
Step-by-step explanation:
Dividing a fraction by fraction is the same as multiplying a fraction by the other fraction's reciprocal:
Here is the formula:
[tex]\frac{x}{y} / \frac{a}{b} = \frac{x}{y} * \frac{b}{a}[/tex]
Thus, [tex]\frac{8x}{3} / \frac{6}{7} = \frac{8x}{3} * \frac{7}{6}[/tex]
8x * 7 = 56x and 3* 6 is 18, so:
[tex]\frac{56x}{18}[/tex]
It can be further simplified by dividing both numerator and denominator by 2:
[tex]\frac{28x}{9}[/tex]
I’m really struggling, someone please help!
Hi there! :)
Answer:
[tex]\huge\boxed{C.}[/tex]
We can examine each answer choice individually:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900. Therefore, this choice is incorrect.
B. 569 · 10 = 5,690. This choice is incorrect.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000. This choice is correct.
D. 10² · 569 = (10 · 10) · 569 = 56,900. This choice is incorrect.
Therefore, the correct option is C.
Answer:
A. 569 × 10² = 569 × (10 · 10) = 569 · 100 = 56,900.
B. 569 · 10 = 5,690.
C. 10³ · 569 = (10 · 10 · 10) ·569 = 1000 · 569 = 569,000.
D. 10² · 569 = (10 · 10) · 569 = 56,900.
So your answer is C
x +x= telllllllllkkkll
Answer: X + X= 2x or X squared.
Step-by-step explanation:
You take the four Aces, four $2$'s, and four $3$'s from a standard deck of 52 cards, forming a set of $12$ cards. You then deal all $12$ cards at random to four players, so that each player gets three cards. What is the probability that each player gets an Ace, a $2$, and a $3$?
Answer:
Probability each player gets an ace, a $2 and a $3 = 0.0374
Step-by-step explanation:
The total number of ways to divide the card in triples among four players = 369600 ways
The total number of ways to share the cards such that no card is repeated in each triple = 13824 ways
Probability each player gets an ace, a $2 and a $3 = 13824/369600
Probability each player gets an ace a $2 and a $3 = 0.0374
Note: Further explanation is provided in the attachment.