X=8
THE DIRECTIONS ARE ON THE TOP
Answer:
y = 40
Step-by-step explanation:
For #7, we are told that y = 10 when x = 2
We are also told that 'y varies directly as x'. That means there is some constant number, k, so that
Formula --> y = kx
Since y=10 and x= 2, we substitute those numbers into the formula.
We get 10 = k × 2.
So k has to be 5, right?
k = 5
So what is y when x = 8?
Use the formula.
y=kx ---> That gives us y = k × 8. But we know k is 5.
So y = 5 × 8 = 40
y = 40
9514 1404 393
Answer:
7. y = 5x; y = 40
8. y = 1/3x; y = 8/3
Step-by-step explanation:
In the direct proportion equation y=kx, the value of k can be found as ...
k = y/x . . . . . divide both sides by x to solve for k
__
7. k = 10/2 = 5
The equation is ...
y = 5x
For x=8, the value of y is found using the equation:
y = 5(8) = 40
__
8. Same deal, different numbers.
k = 6/18 = 1/3
y = 1/3x . . . . . the equation
y = 8/3 . . . . . y for x=8
What is the y-intercept of the line?
Answer:
28
Step-by-step explanation:
Answer: 5 is the y-intercept and -16 is the slope
22 - 17 = 5
32 - 48 = -16
Step-by-step explanation:
A fraction of the figure below is shaded.
3rd grade
Answer:
D
Step-by-step explanation:
The fraction of the shaded square above is 1/6 and the one number line for D is also 1/6 of 1
Porcupines can cause damage to wood structures by chewing them. Researchers studied a liquid repellent
designed to reduce such damage. A sample of 20 wooden blocks of the same size were treated with the
repellent and left outside in an area where porcupines are known to live. After a certain amount of time, the
blocks were inspected for the number of porcupine teeth marks visible. The data were used to create the
95 percent confidence interval (4.9,5.8).
Which of the following claims is supported by the interval?
A
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is less than 5.
B
B
The expected number of porcupine teeth marks on a wooden block treated with the
repellent is 5.
с
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is 6.
D
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is greater than 6.
E
The mean number of porcupine teeth marks on all wooden blocks treated with the
repellent is less than 6.
Answer:
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
Step-by-step explanation:
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.
Option A and E are the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
The 95% confidence interval for the mean number of porcupine teeth marks on wooden blocks treated with the repellent is (4.9, 5.8).
This means that we can be 95% confident that the true mean number of porcupine teeth marks on all such wooden blocks falls between 4.9 and 5.8.
Option A states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is less than 5.
This claim is supported by the confidence interval since the upper limit of the interval is less than 5.
Option B states that the expected number of porcupine teeth marks on a wooden block treated with the repellent is 5.
This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are greater than 5.
Option C states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is 6.
This claim is not supported by the confidence interval, since both the lower and upper limits of the interval are less than 6.
Option D states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is greater than 6.
This claim is not supported by the confidence interval, since the upper limit of the interval is less than 6.
Option E states that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6.
This claim is supported by the confidence interval since the upper limit of the interval is less than 6.
Therefore,
The mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 5 and 6.
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PLEASE HELP
WILL MARK BRAINLY
1. The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent. Which of the following equations
defines the population t years after 2010?
O P= 45, 2302
OP=45, 230(1+0-2)*
OP=45, 2300
OP=45, 230(1 +0.02)
Answer:
C
Step-by-step explanation:
The following equation defines the population t years after 2010,
P = 45230(1 + 0.02[tex])^{t}[/tex].
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and sx is the time period.
Given:
The population in Small town in 2010 was 45,230 people and is growing exponentially at a rate of 2 percent.
The formula;
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
That means,
P = 45230(1 + 0.02[tex])^{t}[/tex]
Therefore, the equation is P = 45230(1 + 0.02[tex])^{t}[/tex]
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What is the value of x in the following equation?
7x + 5(2x – 10) = 69
Answer:
Step-by-step explanation:
7x+10x-50=69
17x=69+50
x=7
Can anyone solo be this?
Answer:
x = 10
Step-by-step explanation:
Angles 12x and 10x + 20 are "vertical angles," meaning that they are identical (same value). Therefore we can write the equation 12x = 10x + 20, which reduces to 2x = 20, or x = 10.
Answer:
x=10
Step-by-step explanation:
Hey There!
Those are a pair of vertical angles
Therefore they are congruent
congruent meaning identical in form
So we would setup and equation and because the angles are congruent the equation would be
12x=10x+20 and solve for x
Step 1 subtract 10x from each side
10x-10x cancels out
12x-10x=2x
now we have
2x=20
Step 2 divide each side by 2
2/2 cancels out
20/2=10
Therefore x=10
Complete the congruency statement for the triangles
Answer:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
Step-by-step explanation:
<A ≅ <E,
Side length AC ≅ Side length EF
Side length AB ≅ Side length ED,
Thus, this implies that an included angle and two sides of one triangle are congruent to an included angle and 2 corresponding side lengths of the other triangle.
Therefore, we would conclude that:
∆ABC ≅ ∆EDF by the SAS Congruence Theorem.
15x^2+5x GCF help. out please
Answer:
5x is the GCF
Step-by-step explanation:
Which fraction has the larger value? *
-3/4
-1/2
Answer:
I'm thinking it's -1 / 2
Step-by-step explanation:
not sure how but
Answer:
-1/2
Step-by-step explanation:
Why? Because 1/2 is bigger than 3/4
Hi 2+2=? Lllalalalala aplalalaalallala Latakia,Lana,
Answer:
2+2= 4
Step-by-step explanation:
QUICK MATHS
Simplify the expression 9x + 5-3x + 12
6x - 7
6x + 17
12x + 17
23x
Please help
Answer:
6x + 17
Step-by-step explanation:
Combine like terms
9x - 3x = 6x
5 + 12 = 17
6x + 17
Select all the properties of a right triangle.
Group of answer choices
Has a right angle
Has one obtuse angle
Has perpendicular lines
Has three acute angles
Answer:
aaaaa
Step-by-step expaalanation:
aa
Answer:
It should be answers one and three
CAMO is a rectangle with diagonals intersecting at W. WA = 4x - 3 , CW = x + 6 , and AO = 22 Find x.
Answer:
x = 3.5
Step-by-step explanation:
diagonals bisect each other so AW = OW
since AO = 22 then AW = 11
11 = 4x - 3
14 = 4x
x = 7/2 or 3 1/2
–12x +12 + 10x – 16 *
Answer:
x=2
Step-by-step explanation: you would have to move 10 to the other constant and add and then move 12 to 16 by adding 12 to 16 then divide the 2 number then BOMB
balance the equation 45=r+13
Answer:
45=32+13
Step-by-step explanation:
because you need to get 45 on the other side to balance it out
Answer:
32
Step-by-step explanation:
45=r+13
r=45-13
r=32
1)Using the symbolic representations p: The food is spicy q: The food is aromatic express the following compound statement in symbolic form: a) The food is aromatic and spicy. b) If the food isn't spicy then it isn't aromatic c) It is not the case that the food spicy or aromatic. d) Being non-aromatic is sufficient for a food to be non-spicy.
Answer:
one one one one one oneone one one one
Convert to slope intercept form 4x+5y=-20
Answer:
Slope-intercept form is: y=mx+b. Where m = slope or rise/run & b = y-intercept or where the line crosses the y axis. So for 4x + 5y = 20 the slope intercept form is y = -4x/5 + 4.
Step-by-step explanation:
Answer:
y = -4/5x - 4
Step-by-step explanation:
4x + 5y = -20
-4x -4x
5y = -4x - 20
divide it all by 5
y = -4/5x - 4
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
christian has a maximum of 50$ to spend on his school trip a ticket to the theme park cost 27$
Answer:
50 minus 27 is 23 so she has $23 more dollars left?
Step-by-step explanation:
62.8 in scientific notation
Answer:
6.28 x 10²
Step-by-step explanation:
first number must be greater than or equal to 1 and less than 10
if you move the decimal to the left you need to increase the power of ten by one for each move
if you move the decimal to the rightt you need to decrease the power of ten by one for each move
Which of the following is equivalent to the expression below?
4x + 3(2x - 1) - 4x
Can somebody please help me with this question
Answer:
An event can have a probability of 3/2 is not true
Step-by-step explanation:
The probability of an event happening is between 0 and 1 inclusive.
A probability of 1 means the event is certain to happen or 100%
You cannot have a probability greater than 1 so
An event can have a probability of 3/2 cannot happen
Convert 20% into a fraction
ANSWER QUICKK
Answer:
1/5.
Step-by-step explanation:
20%
20/100
20/20 / 100/20
= 1/5
---
Hope this helps!
Answer:
20/100 or 1/5
Step-by-step explanation:
Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25
hope it helps! :3
7)
Which could be solved for x?
-0)
A)
2x+2
B)
3(x+ 2)
)
D)
1 / 8x = 12
PPT HELP !!!!!!!!!!!!11
Answer:
Step-by-step explanation:
a) 1 degrees Celsius (the line matches with that number)
b) -2 degrees Celsius
c) 3.5 degrees Celsius (since its between 3 and 4 its 3.5)
d) -0.5 degrees Celsius
e) the numbers will be going by 5s: (-20,-15,-10,-5, 0, 5, 10, 15, 20, 25)
I hope this makes sense and you understand it :)
A basketball player made 16 shots for a total of 38 points during a game. Some points were worth 2 points and some were worth 3 points. Write a system of equations that models this. How many 2 and 3 point shots did he make? Write your answer as a coordinate.
Answer:
4- 3s and 2- 2s
Step-by-step explanation:
3+3+2+2+3+3
can someone find the slope intercept equation for this plz thanks ill give brainliest
Answer:
y = -3/4x - 1
Step-by-step explanation:
it is
At the store, you see oranges on sale at 1 pound for 3 dollars. At a different store, your brother sees oranges on sale at 3 pounds for 8 dollars.
Do the oranges cost the same at both stores?
Which store offers a better deal?
Answer plz. I'll get my points back if you put something random.
Answer:
D.
Step-by-step explanation:
Because, 60% of 2.50 (the pre-assumed cost of pizza) is 1.50.
Which number is prime 9,10,11,12
Answer:
11
Step-by-step explanation:
A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
A prime number is a number that cannot be factored other than 1 and that number is self.
For example, 9 can be written as 3 x 3 thus it will not prime number and 11 cannot be written as two products other than 1 x 11 thus it will be a prime number.
Hence "A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number".
For more about the number system,
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