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TiliK225 [7]
3 years ago
8

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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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:

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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]
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387.50(1-49%)=197.625

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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

<h3>The mean</h3>

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
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