Complete question :
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
Answer:
0.999
Step-by-step explanation:
Mean, m = 205 ; Standard deviation, s = 35
Z = (x - m) / s
x = 310
Z = (310 - 205) / 35 = 3
P(z < 3) = 0.99865
x = 10
Z = (10 - 205) / 35 = - 5.57
P(Z < - 5.5)
P(z < 3) - P(z < - 5.5)
0.99865 - 0
= 0.999
ANSWER
EXPLANATION
The given product is:
We expand using the distributive property to obtain:
Extract the perfect squares to get:
Expand further to get;
This simplifies to,
Answer:
As ΔABC is an <u>isosceles triangle</u>:
⇒ BA = BC
(the dashes on the line segments indicate they are of equal measure)
⇒ ∠BAC = ∠BCA = 55°
⇒ ∠BCA = ∠BAD = 55°
Angles on a <u>straight line</u> sum to 180°
⇒ ∠ADE + ∠EDC = 180°
⇒ 98° + ∠EDC = 180°
⇒ ∠EDC = 82°
As BE intersects AC, the <u>vertically opposite angles</u> are <em>equal</em>:
⇒ ∠BDC = ∠ADE = 98°
⇒ ∠ADB = ∠EDC = 82°
Interior angles in a triangle sum to 180°
⇒ ∠BAD + ∠ADB + ∠ABD = 180°
⇒ 55° + 82° + ∠ABD= 180°
⇒ ∠ABD = 180° - 55° - 82°
⇒ ∠ABD = 43°
To determine the number of cubes he needs to fill the box (this is assuming the cubes are 1 in cubes, he would need to calculate the volume of the box. To find the volume he would multiply the length by the width by the height. This would be 5 in x 6 in x 7 in. The volume is 210 cubic inches, so he could fill it with 210 one inch cubes.
The unit price is 90 cents per can of tomato sauce.
