Answer:
The answer to the cost for each toffee is given below:
Step-by-step explanation:
The computation of the cost for each toffee is shown below:
Given that
There are a total 180 candies hat includes three types in a ratio of 4:2:3
Gobs = 4 ÷ 9 × 180 = 80
Blobs = 2 ÷ 9 × 180 = 40
Toffees = 3 ÷ 9 × 180 = 60
Now the total cost of all the candies shipment is $430
So,
The equation would be
80 × $1.50 + 40 × $2.50 + 60 × per cost = $430
120 + 150 + 60 × per cost = $430
60 × per cost = $430 - $120 - $150
60 × per cost = $160
Per cost is $2.67
So for toffees it would be 160
The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.
Answer: In the given regression equation, the calories are in thousands. Therefore, the slope 0.005 (0.005 x 1000 =5 calories) means the consumption is increasing at a rate of 5 calories per year.
Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct
Answer:
a)
b) 
c) 
Step-by-step explanation:
Part a
The significance level given is
and the degrees of freedom are given by:

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

Part b
The significance level given is
and the degrees of freedom are given by:

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

Part c
The significance level given is
and
and the degrees of freedom are given by:

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

Answer:
So for number 1 we can use the trigonometry to find out the radius/diameter of the circle then we can use the formula to get the area then we divide by 2 because its half of a circle. So we can get that the cos(68) = 7/x x being the diameter. We then can multiply it by x on both sides. That gives xcos(68) = 7. So then we can do the inverse and get x = cos^-1(68)*7. That gives us approx 18.686 as the diameter, we can divide by 2 and get 9.343. So then we can use the formula which is A = pi*r^2. So that gives us 87.291*pi 274.233. Then if we divide by 2 we get 137.12 that is the answer to first question.
I was able to simplify it into the factored form for number 2.(x-1)^2+(y-2)^2=sqrt(17))^2. Therefore using the circle equation formula we can determine that the center is 1,2. The radius is sqrt(17). We square it and we get 17. So that means that the area is pi*17. Then we get 51.407 as the area.
<h2><u>
Answer to 1: 137.12 round to tenth and you get 137.1</u></h2><h2><u>
</u></h2><h2><u>
Answer to 2: </u></h2><h2><u>
Center: 1,2 </u></h2><h2><u>
Area: 51.407.</u></h2>