Answer:
42° and 48°
Step-by-step explanation:
Complementary angles sum to 90°, hence
x + 10 + x + 4 = 90
2x + 14 = 90 ( subtract 14 from both sides )
2x = 76 ( divide both sides by 2 )
x = 38
x + 10 = 38 + 10 = 48° and x + 4 = 38 + 4 = 42°
Answer:
1600 items should not be defective
Step-by-step explanation:
To determine the number of items that are not defective, we multiply the number of items we have by the probability that they are not defective.
Not defective items = items * probability
= 2000 * 4/5
1600
Answer:
x
Step-by-step explanation:
factor out both equations and then cancel any of the common factors. You should be left with 4x/4, which simplified is x
Answer: 32 apples
Step-by-step explanation:
The ratio of apples to oranges sold is given as 4 to 2. Since Tia wants to sell a total of 48 apples and oranges, the number of apples that she should sell would be:
= 4/(4+2) × 48
= 4/6 × 48
= 32
Therefore, he should sell 32 apples.
Let the null hypothesis be that the agent's claim is correct. Using a standard normal probability table we find:

The p-value 0.14 is much larger than alpha = 0.01, so we cannot reject the agent's claim.