Answer:
There is not enough evidence to support the claim that the doors are either too long or too short.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 2058.0 millimeters
Sample mean, 
= 2047.0 millimeters
Sample size, n = 17
Alpha, α = 0.10
Sample standard deviation, s = 27
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since, the calculated t statistic lies in the acceptance region, we fail to reject the null hypothesis and accept the null hypothesis.
Thus, there is not enough evidence to support the claim that the doors are either too long or too short.
Answer:
D) 32.6
Step-by-step explanation:
This question is asked to find the value of "c", a variable.
We can rewrite the equation like this: 62 = 29.4 + c.
So, something + 29.4 = 62.
62 - 29.4 = 32.6.
Hope this helps!
Answer:
The correct answer would be, No of bracelets the company must sell to break even would be 15
Step-by-step explanation:
Revenue is given by the function as:
R(x) = 20x
and Cost is given by the function as:
C(x) = 180 + 8x
Let the function P(x) represent the profit earned.
We know that Profit is equal to Revenue - Cost
i-e
Profit = Revenue - Cost
So,
P(x) = R(x) - C(x)
Now substituting the Revenue and cost values in the above equation.
P(x) = 20x - (180 + 8x)
P(x) = 20x -180 -8x
P(x) = 20x - 8x -180
P(x) = 12x - 180
Now if we want to find out the break even point, we would consider profit as Zero, 0. So substituting 0 in the above equation for Profit, we will get:
0 = 12x - 180
12x = 180
x = 180/12
x = 15
So the break even point will be 15 bracelets.
Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
So i guess the question is how much red gravel can they buy?
Red gravel: 3000 pounds
Black gravel: 2000 pounds
x+y=5000
0.80x+0.55y=3500
If it helped, reward me with a brainlist,
if it didn't, tell me and i'll help you understand
