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1 year ago

Please help someone

Mathematics

1 answer:

Romashka-Z-Leto [24]1 year ago

6 0

Answer:

(-2, ∞)

Step-by-step explanation:

A function is "increasing" when its graph goes up to the right, the slope is positive. At a turning point (maximum or minimum), the function is neither increasing nor decreasing.

<h3>Increasing interval</h3>

The graph has a minimum at x = -2. To the left of that point, the graph goes up to the left, which is the same as down to the right (decreasing).

To the right of x = -2, the graph goes up to the right (increasing). It continues to increase for all values of x > 2. The interval where the function is increasing is said to be ...

-2 < x < ∞

The lack of "or equal to" tells you the interval is "open" and is delimited by parentheses in interval notation:

increasing; (-2, ∞)

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For an intramural sports program at a particular college, the time to run one mile is recorded for 200 male students in the prog

Greeley [361]

Answer:

Devon has the lower z-score, so he ran the mile faster relative to his gender.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Who ran the mile faster relative to their gender?

The lower the percentile of time ran, the faster. So whoever has the lower z-score ran the mile faster.

Devon

His best time to run the mile is 6.6 minutes.

These times are approximately normal with mean 8 minutes and standard deviation 1 minute.

We have to find Z when $X = 6.6, \mu = 8, \sigma = 1$ . So

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

$Z = \frac{6.6 - 8}{1}$

$Z = -1.4$

Kendall

Her best time to run the mile is 5.7 minutes.

These times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes.

We have to find Z when $X = 5.7, \mu = 7.5, \sigma = 2$ . So

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

$Z = \frac{5.7 - 7.5}{2}$

$Z = -0.9$

Devon has the lower z-score, so he ran the mile faster relative to his gender.

3 0

3 years ago

A fair die is rolled 10 times. Find the expected value of:a) the sum of the numbers in the ten rolls;b) the number of multiples

velikii [3]

Answer:

a) 3.5

b) 3.33

c) $6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}$

Step-by-step explanation:

As given,

A fair die is rolled 10 times

Expected value of Sum of the number in 10 rolls = $\frac{1}{6}(1+2+3+4+5+6) = \frac{21}{6}$

= 3.5

∴ we get

Expected value of Sum of the number in 10 rolls = 3.5

Ley Y : number of multiples of 3

Y be Binomial

Y - B(n = 10, p = $\frac{2}{6}$ )

Now,

Expected value = E(Y) = np = 10× $\frac{2}{6}$ = 3.33

Let m = total number of faces in a die

⇒m = 6

As die is roll 10 times

⇒n = 10

Now,

Let Y = number of different faces appears

Now,

Expected value, E(Y) = m - m $\left(\begin{array}{ccc}m-1\\m\end{array}\right)^{n}$

= $6 - 6\left(\begin{array}{ccc}6-1\\6\end{array}\right)^{10} = 6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}$

5 0

2 years ago

A new carpet cleaning company claims that they can clean 3 times as many carpets in 1 week as another company. If both companies

inna [77]

Answer:

The number of carpets cleaned by new company per week is 249

Step-by-step explanation:

Let us assume :

The number of carpets cleaned by old company in 1 week = m

So, the number of carpets cleaned by new company in 1 week

= 3 x ( Number of carpets cleaned by old company)

= 3 (m) = 3 m

Total carpet cleaned altogether in a week = 332

So, Total Carpets cleaned by both companies in 1 week

= Number of carpets cleaned by ( Old + New) company in 1 week.

= m + 3 m = 4 m

⇒ 4 m = 332

or, m = 332 / 4 = 83 , or m = 83

Hence number of carpets cleaned by old company per week = m = 83

The number of carpets cleaned by new company per week

= 3 m = 3 x 83= 249

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3 years ago

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krek1111 [17]

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Marat540 [252]

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8 0

3 years ago

Read 2 more answers