What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?

Karo-lina-s [1.5K]

Answer:

BD

Step-by-step explanation:

to find the longest segment in a triangle, first find the largest angle and the line opposite to it is the largest segment:

in this case it is angle BCD and the segment opposite is BD

8 0

3 years ago

A survey was given to 339 people asking whether people like dogs and/or cats.

lina2011 [118]

Answer:

80

Step-by-step explanation:

Think of it as a Venn diagram. One circle is the people who like dogs, and one circle is the people who like cats. The overlap is people who like both dogs and cats.

190 people in the survey said they like dogs. That includes the people who like both dogs and cats.

141 people in the survey said they like cats. That includes the people who like both dogs and cats.

If we simply add the two numbers together, we'll be counting the overlap twice. So to find the total number of people who like dogs or cats, we have to subtract one overlap.

dogs or cats = 190 + 141 − x

Therefore:

190 + 141 − x + 88 = 339

419 − x = 339

x = 80

80 people said they liked both cats and dogs.

5 0

3 years ago

Bottles of purified water are assumed to contain 250 milliliters of water. There is some variation from bottle to bottle because

marshall27 [118]

Answer:

We accept H₀ we don´t have evidence of differences between the information from the sample and the population mean

Step-by-step explanation:

From data and excel (or any statistics calculator) we get:

X = 249,6 ml and s 1,26 ml

Sample mean and sample standard deviation respectively.

Population mean μ₀ = 250 ml

We have a normal distribution but we dont know the standard deviation of the population. Furthermore we have a two tails test since we are finding if the sample give us evidence of differences ( in both senses ) when we compare them with the amount of water spec ( 250 ml )

Our test hypothesis are: null hypothesis H₀ X = μ₀

Alternative Hypothesis Hₐ X ≠ μ₀

We also know that sample size is 8 therefore df = 8 - 1 df = 7 , with this value and the fact that we are required to test at α = 0,05 ( two tails test)

t = 2,365

Then we evaluate our interval:

X ± t* (s/√n) ⇒ 249,6 ± 2,365 * ( 1,26/√8 )

249,6 ± 2,365 * (1,26/2,83) ⇒ 249,6 ± 2,365 *0,45

249,6 ± 1,052

P [ 250,652 ; 248,548]

Then the population mean 250 is inside the interval, therefore we must accept that the bottles have being fill withing the spec. We accept H₀

7 0

3 years ago

The equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop

Irina18 [472]

Answer: