Answer:
Step-by-step explanation:
You get the slope right away, just by reading it.
y = 1/4 x + b
To solve for b, you use the point 4,5
5 = 1/4 * 4 + b Substitute 4 for x
5 = 1 + b Subtract 1 from both sides
5-1 = 1-1 + b
b = 4
The line is y = 1/4 x + 4
Thanks for the help :)
Question 16
Mr. Twain asked the students in his class to draw the figure below using a scale factor of 3. Then, he asked students to tell him one of the new side lengths of the figure. Some student responses are below.
Student Response
Mark 5 in.
Samantha 6 in.
Divia 1.3 in.
Cheng 0.9 in.
Candice 11.7 in.
Select the student that answered Mr. Twain's question correctly.
A
Mark
B
Divia
C
Cheng
D
Candice
Answer:
C
Step-by-step explanation:
Your answer is C because got the question right when put C .
What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Complete Question
The proportion of adult women in the United States is 51% (p=0.51).What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Answer:
The probability is [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex] or [tex]P( 0.48 < p < 0.54 ) = 77\%[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 400
The population proportion is p = 0.51
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.51(1-0.51)}{400} }[/tex]
=> [tex]\sigma = 0.02499[/tex]
Generally the lower limit for the range of the population proportion within 0.03 is
[tex]a = p - 0.03[/tex]
=>[tex]a = 0.51 - 0.03[/tex]
=>[tex]a = 0.48[/tex]
Generally the upper limit for the range of the population proportion within 0.03 is
[tex]b = p + 0.03[/tex]
=>[tex]a = 0.51 + 0.03[/tex]
=>[tex]a = 0.54[/tex]
Generally the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p) is mathematically represented as
[tex]P( a < p < b) = P( \frac{a - p }{\sigma } < \frac{\^ p - p }{\sigma} < \frac{b - p}{\sigma } )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( \frac{0.48 - 0.51 }{0.02499 } < \frac{\^ p - p }{\sigma} < \frac{0.54 - 0.51}{0.02499 } )[/tex]
[tex]\frac{\^ p -p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( -1.2 < Z < 1.2 )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( Z < 1.2) - P(Z < -1.2 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.2 and -1.2 is
[tex]P( Z < 1.2) =0.88493[/tex]
and
[tex]P( Z < -1.2) =0.11507[/tex]
So
[tex]P( 0.48 < p < 0.54 ) = 0.88493 - 0.11507[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex]
Find the maximum value and the minimum value of the function and the values of x and y for which they occur.
P 19x-5y60, subject to 5x + 9ys 45, 0 s ys4, and 0sx < 6 and y
The maximum value occurs where x =_______ and y occurs where x_________
The minimum value (Do not round until the final answer. Then round to two decimal places as needed.)
Answer:
i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!
Step-by-step explanation:
PLEASE ANSWER
How do different body systems work together to cause the
heart to pump faster over time?
A dog that weighs 14 pounds should eat 1 5/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 26 pounds?
PLEASE HELP!!!!!!!!
9514 1404 393
Answer:
3 1/56 cups
Step-by-step explanation:
Apparently, you're to assume that the amount of food is supposed to be proportional to weight. If x is the amount of food for the 26-pound dog, then ...
cups/weight = (1 5/8)/14 = x/26
Multiplying by 26 we have ...
x = (26)(13/8)/14 = 338/112 . . . cups
x = 3 1/56 cups ≈ 3.02 cups
About 3.02 cups of the same type of food should be fed to a 26-pound dog.
60 = 5(1.07)^x
initial value:
a. 7%
b. 1.07%
c. 9.3%
d. 5
e. 60
growth or decay?
growth/decay rate?
a. 7%
b. 1.07%
c. 9.3%
d. 5
e. 60
Given:
The given equation is
[tex]60=5(1.07)^x[/tex]
To find:
The initial value and growth/decay factor.
Solution:
The general exponential growth/decay model is
[tex]y=a(1+r)^x[/tex] ...(i)
where, a is initial value, if r>0, then |r| is growth factor, if r<0, then |r| is decay factor and x is time.
We have,
[tex]60=5(1.07)^x[/tex]
It can be written as
[tex]60=5(1+0.07)^x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=5\text{ and }r=0.07[/tex]
Here, initial value is 5 and growth factor is 0.07, i.e., 7%.
Therefore, the correct option for first question is d and correct option for second question is a.
Answer:
see image
Step-by-step explanation:
Plato/Edmentum
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21 cups of soda? Using J for juice and S for soda, how will the equation look?
Answer:
Step-by-step explanation:
4 cups of J for every 7 cups of soda 4:7
21 cups of soda will take 12 cups of J
If you take the 7 and multiply by 3 you get the 21.
So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.
4:7 same as 12:21
Let A = (1,2,3,4) and B= (0,1) use the set roster notation,to work each of the following sets and indicate the number of elements that are in each set?
a.A x B
b. bx A
c.A x A
d.B x B
Step-by-step explanation:
A={1,2,3,4}
B={0,1}
now,
a. A×B={1,2,3,4}×{0,1}
={(1,0)(1,1)(2,0)(2,1)(3,0)(3,1)(4,0)(4,1)}
b. B×A={(0,1)(0,2)(0,3)(0,4)(1,1)(1,2)(1,3)(1,4)}
c. A×A={(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)(4,1)(4,2)(4,3)(4,4)}
d. B×B={(0,0)(0,1)(1,0)(1,1)}
hope it help u..
Every year, the value of a property in singapore appreciates by 15% of its value in the previous year. If the value of the property was $899300 in 2012, find ite value in 2010.
Answer:
629 510$
Step-by-step explanation:
$899300 - (30% of $899300)
cuz its two years away from 2010 so it will have gone up 30 % so to rewind time, just go back 30%
Answer:
649744.25
Step-by-step explanation:
899300-15%-15%=649744.25
Which ordered pair is a solution of the equation? y=-2x-5y=−2x−5
Answer:
x=3y
Step-by-step explanation:
Step 1: flip the equation.
2x−5y=y
Step 2: Add 5y to both sides.
2x−5y+5y=y+5y
2x=6y
Step 3: Divide both sides by 2.
2x
2
=
6y
2
x=3y
Answer:
if this is for khan academy and is a multiple choice choose the answer (neither) if not its 5
Step-by-step explanation:
y - 2x - 5y = 2x - 5
4x+ 4y = 5
What are the subsets of the set {2, 5}?
a. {2}, {5}, {2,5}
b. { }, {2}, {5}, {2,5}
c. {0,2,5}
d. ∅, {5}, {2,5}
Answer:
the answer is b.........
Find the slope:
(-12, -13), (-12, 1)
Group of answer choices
14
Zero
Undefined
Of the 482 graduating seniors at Palmdale High School, approximately 5/8 are going to college, and approximately 1/2 of those going to college are going to an in-state school. Which of the following is the closest estimate for how many of the graduating seniors are going to an in-state school?
Answer:A
Step-by-step explanation:
trust
9.5 +5² - 2² (-3)rasied to the 2nd power
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
x = ______
Answer:
2/3
Step-by-step explanation:
cuz it is
Answer:
2/3
Step-by-step explanation:
DUE BY 3:30
For the following figure , the value of x is
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]x = 8 \: \: in[/tex]
[tex]y = 8 \sqrt{2} \: \: \: in[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Dilate a square with vertices (0,0). (0,4). (4,4), and (4,0) using the scale factor k=0.5. What is the value of the ratio (new to original) of the
perimeters? the areas?
The ratio of the perimeters is
The ratio of the areas is
Perimeter: 1\2
Area: 1\4
How can I figure out my screentime password.
100 points to whoever can tell me exactly how to do it and maybe even brainless if it works and it has to be an actual answer not just a random one!!!
Answer:
Screen record as your parent puts the password in or wipe off your screen and give the parent your phone to put the password in then look at the fingerprint circles and that where each number is, then try all the possible combinations
Step-by-step explanation:
Which decimal makes the comparison true? 7.68 > ______ a. 8.81 b. 8.68 c. 7.86 d. 7.56
Answer:
D. 7.56
Step-by-step explanation:
First we can see it has a less than symbol meaning whatever we put has to be less than the first number.
So the only number less than 7.68 is 7.65!
Answer:
D
Step-by-step explanation:
The number we're dealing with is 7.68.
the symbol means that whatever number comes after it is less than 7.68. So, we look at the other numbers to see if they're bigger than 7.68.
8.81 is bigger than 7.68.
8.68 is bigger than 7.68.
7.86 is bigger than 7.68.
7.56 is smaller than 7.68.
what is the local minimum on a graph
Answer:
if the function goes from decreasing to increasing,
Step-by-step explanation:
Abigail has $400 in her savings account. She wants to keep at least $160 in the account.
She withdraws $40 each week for food. Write and solve an inequality to show how many
weeks she can make withdrawals from her account.
Answer:
400-40x x=6
Step-by-step explanation:
400 in total. minus 40 each week (x)
40 × 6= 240
400-240=160
Sam's new room is square, and each side measures 15 feet. What is the
area of the room?
Answer:
225 feet
Step-by-step explanation:
Square sides are always the same size so just multiply 15x15.
Without actually going through the solution process. we can say that the equation
|5x-6| =6x cannot have a negative solution. Why is this true?
A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
Answer:
No
Step-by-step explanation:
Using the given lengths if we say this is a right triangle then 8 would be length of hypotenuse
From the Pythagorean theorem
8^2 = 5^2 + 7^2
64 = 25 + 49
64 = 74 is not a correct equation so the triangle is not a right triangle for the given lengths
A parent volunteer group is raising money by making custom hats to sell at
school activities. They plan to sell the hats for $12. Each hat costs $6 to
make. They spent $50 for advertising.
Use n to represent the number of hats they sell. Multiply this by the money
they make for each hat, then subtract the advertising cost.
Which expression represents the money that the group raises?
A. 12n - 6 - 50
O B. 50 - (12 – 6) n
O C. (12 - 6)n - 50
O D. 12 - 6n - 50
Answer:
B
Step-by-step explanation:
The answer is B because you minus 50 from 12 and 6.
Which expression is equivalent to (m2p–2r7)(m–5p4r2)?
Answer:
=(m2p+−2r7)(m+−5p4r2)
=(m2p)(m)+(m2p)(−5p4r2)+(−2r7)(m)+(−2r7)(−5p4r2)
=m3p−5m2p5r2−2mr7+10p4r9
=10p4r9−5m2p5r2−2mr7+m3p
Step-by-step explanation:
:D
Do dis pls and don’t be toxic and take points
LCM of 9 18 and 99 is :
Step-by-step explanation:
[tex]\begin{array}{c|ccc}\cline {2-4} 2 & 9 ,& 18 ,& 99 \\ \cline {2-4} 3 & 9 & ,9 & ,11 \\ \cline {2-4} 3 & 3 ,& 3, & 11 \\ & 1, & 1 , & 11 \end {array}[/tex]
LCM=2×3×3×11=198Simplify fully 56:16
Answer:
7/2
Step-by-step explanation: