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3 years ago

Find the slope of the line that passes through (2, 11) and (7, 4).

Mathematics

1 answer:

EleoNora [17]3 years ago

6 0

Answer:

$\large\boxed{-\dfrac{7}{5}}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, 11) and (7, 4).

Substitute:

$m=\dfrac{4-11}{7-2}=\dfrac{-7}{5}=-\dfrac{7}{5}$

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Mariana [72]

$v = \frac{1}{3} \pi {r}^{2} h \\ r = 8 \: cm \\ h = 15 \: cm$
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$v = \frac{1}{3} \pi {r}^{2} h \\ v = \frac{1}{3} \pi {(8)}^{2} (15) \\ v = 320\pi$
The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.

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3 years ago

The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kil

Ber [7]

Answer:

im in middle school and im trying to figure this out as well

Step-by-step explanation:

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3 years ago

A $387.50 item is marked down by 49%.<br> What is the new cost of the item?

Free_Kalibri [48]

Initial(1-markdown)
387.50(1-49%)=197.625

final answer: $197.63

5 0

4 years ago

In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days

Tresset [83]

Answer:

48 soldiers leave the place.

Step-by-step explanation:

100/60=80/x
100x=4800
x=4800/100
x=48

hope it helps.

<h2>stay safe healthy and happy.</h2>

3 0

3 years ago

The probability of rain on the last day of July is 95 % . If the probability remains constant for the first seven days of August

8090 [49]

The probability that it rains at most 2 days is 0.00005995233 and the variance is 0.516

<h3>The probability that it rains at most 2 days</h3>

The given parameters are:

Number of days, n = 7
Probability that it rains, p = 95%
Number of days it rains, x = 2 (at most)

The probability that it rains at most 2 days is represented as:

P(x ≤ 2) = P(0) + P(1) + P(2)

Each probability is calculated as:

$P(x) = ^nC_x * p^x * (1 - p)^{n - x}$

So, we have:

$P(0) = ^7C_0 * (92\%)^0 * (1 - 92\%)^{7 - 0} = 0.00000002097$

$P(1) = ^7C_1 * (92\%)^1 * (1 - 92\%)^{7 - 1} = 0.00000168821$

$P(2) = ^7C_2 * (92\%)^2 * (1 - 92\%)^{7 - 2} = 0.00005824315$

So, we have:

P(x ≤ 2) =0.00000002097 + 0.00000168821 + 0.00005824315

P(x ≤ 2) = 0.00005995233

Hence, the probability that it rains at most 2 days is 0.00005995233

This is calculated as:

Mean = np

So, we have:

Mean = 7 * 92%

Evaluate

Mean = 6.44

Hence, the mean is 6.44

<h3>The standard deviation</h3>

This is calculated as:

σ = √np(1 - p)

So, we have:

σ = √7 * 92%(1 - 92%)

Evaluate

σ = 0.718

Hence, the standard deviation is 0.718

<h3>The variance</h3>

We have:

σ = 0.718

Square both sides

σ² = 0.718²

Evaluate

σ² = 0.516

This represents the variance

Hence, the variance is 0.516

Read more about normal distribution at:

brainly.com/question/4079902

#SPJ1

7 0

2 years ago