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3 years ago

Please answer for BRAINLIEST!

Mathematics

1 answer:

oee [108]3 years ago

8 0

Answer:

1.5 units squared

Step-by-step explanation:

Area of a Triangle formula: A = 1/2bh

Pythagorean Theorem: a² + b² = c²

Since you are missing the h to find the area of the triangle, you must use Pythagorean to find the 3rd missing side (it is a right triangle so you can use Pythagorean).

Step 1: Use Pythagorean

2.5² = 1.5² + b²

4 = b²

b = 2

Step 2: Switch variables

b (from Pythagorean) = h (height for Area)

Step 3: Solve for Area

A = 1/2(1.5)(2)

A = 1.5

And you have your final answer.

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The number of typing errors made by a typist has a Poisson distribution with an average of five errors per page. If more than fi

xeze [42]

Answer:

0.61596

Step-by-step explanation:

Given that:

λ = 5 (5 errors per page)

Poisson distribution formula :

P(x = x) = (λ^x * e^-λ) / x!

Probability that page does not need to be retyped means that error on page is less than or equal to 5

P(x ≤ 5) = p(x = 5) + p(x = 4) +... + p(x = 0)

The individual probabilities can be obtained using the formula above or the use of a calculator

P(x ≤ 5) = 0.17547 + 0.17547 + 0.14037 + 0.08422 + 0.03369 + 0.00674

P(x ≤ 5) = 0.61596

4 0

2 years ago

Find the percent of increase. Original number: 45 books New number: 63 books

BARSIC [14]

Answer:

Step-by-step explanation:

first you multiply 45 by .40 you multiply by .40 because that is the percent increase.

45*.40=18

then you just add the 18 to 45 which get you 63.

answer:40%

7 0

3 years ago

What is 12/84 as a unit fraction

alekssr [168]

12/84=1/7
divide the numerator and denominator of 12/84 with 12

5 0

2 years ago

Read 2 more answers

James works for a delivery company. He gets paid a flat rate of $5 each day he works, plus an additional amount of money for eve

otez555 [7]

Answer:

(a) The rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b) The rate of change is the same between the two time intervals.

Step-by-step explanation:

The rate of change for a variables based on another variable is known as the slope.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

(a)

Compute the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries as follows:

For, x₁ = 0 and x₂ = 2 deliveries the money earned are y₁ = $5 and y₂ = $9.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{9-5}{2-0}\\\\=\frac{4}{2}\\\\=2$

Thus, the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b)

Compute the rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries as follows:

For, x₁ = 2 and x₂ = 4 deliveries the money earned are y₁ = $9 and y₂ = $13.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{13-9}{4-2}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries is $2.

Compute the rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries as follows:

For, x₁ = 6 and x₂ = 8 deliveries the money earned are y₁ = $17 and y₂ = $21.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{17-21}{8-6}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries is $2.

Thus, the rate of change is the same between the two time intervals.

8 0

2 years ago

Find the size of each interior angle of a regular hexagon

Serhud [2]

Answer:

Each interior angle = 180° -60° = 120°

Step-by-step explanation: We know that the three angles in a triangle, add up to 180°, and all the three angles are 60° in an equilateral triangle. The total number of angles of an enclosed space is 180° (n-2) where in is the number of sides.
A hexagon has six sides, so: s= 180° (6-2)

s= 180° x 4

s= 720°

now since in a regular shape, each interior angle is equal. We just divide the total interior angle with a number of sides

720° divided by 6 is equal to 120°

8 0

7 months ago