Oliva picked 256 strawberries from the orchard fields. She divided strawberries evenly to 6 baskets. How many strawberries are in each basket? How many are leftover?

Answers

Answer 1
Answer:

Answer:

42 in each basket 4 leftover

Step-by-step explanation:

6 divided by 256 = 42 R4 and the remainder is how many are leftover.


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Michele is averaging 17 hits for ever 35 times a bat. If she maintains this average, how many at bats will she need in order to get 34 hits

Answers

She will need 70 at bats in order to get 34 hits.

Which of the following is equivalent to 2 2/5​

Answers

Answer:

0.4 - 0.40 - 4/10 -

Step-by-step explanation:

Lots of points if answer is serious Point Z on a coordinate grid is at (-1, 3). What are the coordinates of R y=-x (Z)

Answers

Answer: -5, 6

Step-by-step explanation:

Jaxson bought snacks for his team's practice. He bought a bag of oranges for $2.91and a 24-pack of juice bottles. The total cost before tax was $39.39. Write and solve
an equation which can be used to determine x, how much each bottle of juice costs?

Answers

Answer:

1.19

Step-by-step explanation:

Find the area of the figure to the nearest square unit.

Answers

Answer:

357 mi²

Step-by-step explanation:

The shape is made of a triangle and a half-square

we will calculate the area of each one

  • The half square:

let A1 be the area of the half-circle:

A1= (10²*π)/2 = 50π mi²

  • The rectangle:

Let A2 be the area of the triangle:

A2= 10*20=200 mi²

  • The whole shape:

let At be the total area:

At =A1+A2= 200+50π =357.07≈ 357 mi²

Suppose Siri (an Apple digital assistant) is known to answer general facts correctly approximately 44.52% of the time. If a consumer asked Siri 181 questions about general facts, what is the probability that less than 45.1% of them would be correct

Answers

Answer:

The probability that there will be less than 45.1% questions of general facts that Siri answers correctly is 0.5636.

Step-by-step explanation:

Let X = number of times Siri is known to answer general facts correctly.

The probability of random variable X is, P (X) = p = 0.4452.

The sample selected is of size, n = 181.

The random variable X\sim Bin(181, 0.4452)

As the sample size is large, i.e. n > 30 and the [probability of success is closer to 0.50, i.e.p is close to 0.50, then the binomial distribution can be approximated by the normal distribution.

Also if np ≥ 10 and n (1 - p) ≥ 10 then binomial distribution can be approximated by normal distribution.

Check the conditions as follows:

  • n = 181 > 30
  • p = 0.4452 is closer to 0.50
  • np = 181 × 0.4452 = 80.5812 > 10
  • n (1 - p) = 181 × (1 - 0.4452) = 100.4188 > 10

All the conditions are satisfied.

Then the sample proportion (\hat p) follows a Normal distribution.

Mean = \mu_(\hat p)=np=181*0.4452=80.5812\approx80.6

Standard deviation = \sigma_(\hat p)=\sqrt{(p(1-p))/(n)}=\sqrt{(0.4452*(1-0.4452))/(181)}  =0.037

Compute the probability that there will be less than 45.1% questions of general facts that Siri answers is correct as follows:

P(\hat p<0.451)=P(\frac{\hat p-\mu_(\hat p)}{\sigma{\hat p}}<(0.451-0.4452)/(0.037))=P(Z<0.16)=0.5636

**Use the z-table for probability.

Thus, the probability that there will be less than 45.1% questions of general facts that Siri answers correctly is 0.5636.