Answer:
y - 7 = -4/3(x + 1)
Step-by-step explanation:
<u>Given</u>
<u>Convert to point slope form</u>
y - y1 = m(x - x1)
m: represents what the slope is
y - 7 = -4/3(x + 1)
<u>Distribute -4/3</u>
-4/3 * x = -4/3x
-4/3 * 1 = -4/3
y - 7 = -4/3x - 4/3
<u>Add seven in both sides</u>
21/3 -4/3 = 17/3
y = -4/3x + 17/2
<u>Answer</u>
linear equation: y = -4/3x + 17/2
point-slope form: y - 7 = -4/3(x + 1)
Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
Answer:
27.33333... mph
Step-by-step explanation:
Find 1/3 of 20 1/2: 1/3*41/2=41/6
That equals 6.83333...
Now add 20 1/2 and 6.83333 = 27.3333...
Therefore, 27.33333... mph
Answer:
The answer is C=942.48
Step-by-step explanation:
You would figure this out by using the formula C=2πr.
So let's break this down.
Circumference (C) equals (=) pi (π) times 2 times the radius of the circle.
Since the problem gave you the diameter which is the length from one side of the circle to the other, you have to divide the diameter in half. Which would give you a radius of 150.
Taking the 150 you would multiply 10*2*π.
Which would give you....(drumrollllll)
C=942.48
I hope this helps!!
p.s. have any more questions? Post them and comment the link!♥, Sadie
Answer:
The sample space is:
- (T,N): table height and brown
- (T, W): table height and white
- (T, K) : table height and black
- (B, N): bar height and brown
- (B, W): bar height and white
- (B, K): bar height and black
- (X, N): XL height and brown
- (X, W): XL height and white
- (W, K): XL height and black
Explanation:
The <em>sample space </em>is the set of all the possible outputs, i.e. the possible different combinations that can be choosen.
Use the letters T, B, and X to represent, respectively, table height, bar height, and XL height,
Use letters N, W, and K to represent, respectively, the colors brown, white and black.
Each combination consists of a height (T, B or X) and a color (N, W, K); thus, your sample space shall have 3 × 3 different combinations. These are:
- (T,N): table height and brown
- (T, W): table height and white
- (T, K) : table height and black
- (B, N): bar height and brown
- (B, W): bar height and white
- (B, K): bar height and black
- (X, N): XL height and brown
- (X, W): XL height and white
- (W, K): XL height and black
