All categories

1 year ago

Amy drives 300 miles from London to Newcastle.

1 answer:

3 0

Amy's average speed during her whole journey from London to Newcastle (300 miles) was 51.422 miles per hour.

<h3>How to calculate the average speed?</h3>

This is calculated by taking the total distance and dividing it into the total time.

<h3>What was Amy's average speed?</h3>

First part of ther journey: 165 miles at 60mph, which is equal to 2.75 hours

Time: distance/speed
Time: 165 miles/ 60 mph= 2.75 hours

Second part of her journey: 135 miles in 3.083 hours (3 hours and 5 minutes)

Total distance: 300 miles
Total time: 2.75 hours + 3.084 = 5.834

Average speed: 300 miles / 5.834 = 51.422 miles per hour

Learn more about average speed in: brainly.com/question/12322912

You might be interested in

Wastewater is filling barrels at the rate of 7 quarts per hour. The recycling facility picks up 25 full barrels on each trip, an

In-s [12.5K]

7*24 = 168 quarts of water per day goes into barrel.

25*48 = 1200 quarts of waste water picked up

1200÷168 =7.142857143

8 0

2 years ago

Read 2 more answers

I can’t figure out how to use the zeros in the polynomial. Please explain

Temka [501]

Answer:

a) $P (x) = (x + 3) (x-1) (x-4)$

b) $P (x) = (2x + 5) (5x - 4) (x-6)$

c) $P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

$P (x) = (x + 3) (x-1) (x-4)$

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

$x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0$

---------------------------------------

$x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0$

--------------------------------------

$x = 6\\\\(x-6) = 0$

--------------------------------------

$P (x) = (2x + 5) (5x - 4) (x-6)$

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

$x = -3\\\\(x-3) = 0$

--------------------------------------

$x = 1\\\\(x-1) = 0$

--------------------------------------

$x = 4\\\\(x-4) = 0$

----------------------------------------

$x = -1\\\\(x + 1) = 0$

-----------------------------------------

$P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

8 0

3 years ago

Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes o

spayn [35]

Answer: There are 32 students who like brussels sprouts but dislike beans.

Step-by-step explanation:

Since we have given that

Number of students eat in the cafeteria = 120

Fraction dislike lime beans = $\dfrac{2}{3}$

Fraction who dislike lime beans and brussles sprouts both = $\dfrac{2}{3}\times \dfrac{3}{5}$

Fraction who dislikes lime beans but not brussles is given by

$\dfrac{2}{3}(1-\dfrac{3}{5})\\\\=\dfrac{2}{3}\times \dfrac{2}{5}\\\\=\dfrac{4}{15}$

So, Number of students who like brussels sprouts but dislike lima beans is given by

$\dfrac{4}{15}\times 120\\\\=32$

Hence, there are 32 students who like brussels sprouts but dislike beans.

7 0

3 years ago

A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of

Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .