Answer:
y = -17/2
Step-by-step explanation:
Substitute with the givens.
30= 8(8) + 4y.
Multiply parentheses.
30 = 64 + 4y
Subtract.
30-64= -34
-34 = 4y.
Divide each side by 4.
y = - 8.5, or -17/2
hope that is right!
William is 17 years old and Charmaine is 14 years old.
Step-by-step explanation:
Let x be the age of William and y be the age of Charmaine
Then
William is 3 years, older than Charmine.
x = y+3 Eqn 1
The sum of 3 times Charmaine's age and 2 times William's age is 76.
2x+3y = 76 Eqn 2
Putting x = y+3 in Eqn 2

Hence,
William is 17 years old and Charmaine is 14 years old.
Keywords: Linear equations, Variables
Learn more about linear equations at:
#LearnwithBrainly
Answer:
For the first question the sample size is n= 3850


And replacing we got:


We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
Step-by-step explanation:
We have the following info given:
represent the estimated proportion of all people who like the movie
represent the sample size selected
For the first question the sample size is n= 3850
For the second part they gives to us the margin of error:

We know that the confidence interval for a population proportion
of interest is given by:

And the margin of error is given by:

So then the confidence interval can be found with this formula:

And replacing we got:


We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
Hey there!!
How do you find slopes?
Ans - In order to find slope, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
Now let's take two points on the graph :
I would take the coordinates ( 0 , -1 ) and ( 1 , 4 )
y₂ = 4 , y₁ = -1 and x₂ = 1 , x₁ = 0
( 4 + 1 ) / ( 1 - 0 )
5 / 0
Hence, the slope is equal to 5
Hope my answer helps!!
Jane buys \dfrac73 \text { yard} 3 7 yardstart fraction, 7, divided by, 3, end fraction, start text, space, y, a, r, d, end te
Vadim26 [7]
The correct question is:
Jane buys 7/3 yards of fabric to make a cat bed. She starts the project by cutting 4 feet of fabric off the end. How many feet long is the remaining piece of fabric?
Answer:
There are 3 feet remaining.
Step-by-step explanation:
Jane cuts 4 feet from 7/3 yards, to know how many feet long yard is remaining, first we need to know how many feet make a yard, convert 7/3 yards to feet, and find the difference between the feet cut and the total feet available.
3 feet = 1 yard
x feet = 7/3 yards
3 × 7/3 = x × 1
x = 7
Therefore, 7 feet is 7/3 yards.
Now, she cuts 4 feet, do we have
(7 - 4 = 3) feet remaining.
Therefore, there are 3 feet remaining.