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3 years ago

Please help as soon as possible!

Mathematics

2 answers:

AnnZ [28]3 years ago

6 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)

m = $\frac{4-6}{8-3}$ = - $\frac{2}{5}$ , hence

y = - $\frac{2}{5}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 4), then

4 = - $\frac{16}{5}$ + c ⇒ c = 4 + $\frac{16}{5}$ = $\frac{36}{5}$

y = - $\frac{2}{5}$ x + $\frac{36}{5}$ ← equation of line

Diano4ka-milaya [45]3 years ago

5 0

D, love y= -2/5x+ 36/5

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Find the mean, median, mode, and range for each of the following sets of numbers

Sidana [21]

Answer:

The mean - $45\dfrac{2}{7};$ the median - 35, the mode - 27, the range - 47.

Step-by-step explanation:

Arrange the set of data (31,74,27,58,65,27,35) in ascending order:

27, 27, 31, 35, 58, 65, 74.

The mean is the usual average, so add aal numbers and then divide by the number of numbers:

$\dfrac{27+27+31+35+58+65+74}{7}=\dfrac{317}{7}=45\dfrac{2}{7}.$

The median is the middle value. The middle value in the row 27, 27, 31, 35, 58, 65, 74 is 35.

The mode is the number that is repeated more often than any other, so 27 is the mode.

The largest value in the set is 74, and the smallest is 27, so the range is 74 – 27 = 47.

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3 years ago

A parallelogram has a height of x cm. The length of its base is 4 cm greater than its height. A triangle has the same height as

LuckyWell [14K]

The value of x when the triangle and the parallelogram have the same area is 6 units

<h3>The dimensions</h3>

The dimension of the parallelogram is given as:

Height = x
Base = 4 + x

The dimension of the triangle is given as:

Height = x
Base = 20

<h3>Areas</h3>

The area of a shape is the amount of space it occupies

The area of the parallelogram is calculated as:

$Area = x (4 + x)$

The area of the triangle is calculated as:

$Area = 0.5 \times 20 \times x$

$Area = 10x$

Both areas are equal.

So, we have:

$x(4 + x) = 10x$

Divide both sides by x

$4 + x = 10$

Subtract 4 from both sides

$x =6$

Hence, the value of x is 6 units

Read more about areas at:

brainly.com/question/2126265

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2 years ago

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard devia

Butoxors [25]

Answer:

Probability that their mean is above 215 is 0.0287.

Step-by-step explanation:

We are given that a bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.

For this, 40 different applicants are randomly selected.

Let X = ratings for credit

So, X ~ N( $\mu=200,\sigma^{2}=50^{2}$ )

Now, the z score probability distribution for sample mean is given by;

Z = $\frac{X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 200

$\sigma$ = standard deviation = 50

$\bar X$ = sample mean

n = sample of applicants = 40

So, probability that their mean is above 215 is given by = P( $\bar X$ > 215)

P( $\bar X$ > 215) = P( $\frac{X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{215-200}{\frac{50}{\sqrt{40} } }$ ) = P(Z > 1.897) = 1 - P(Z $\leq$ 1.897)

= 1 - 0.97108 = 0.0287

Therefore, probability that their mean is above 215 is 0.0287.

5 0

3 years ago

1. 6 cm 6 cm Find the surface area of the cube. Surface Area = [?] cm² 6 cm

Mariulka [41]

Answer:

The surface area of the cube is equal to 216 cm².

General Formulas and Concepts:
Geometry

Surface Area Formula [Cube]:
$\displaystyle \text{SA} = 6a^2$

a is a side length

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 6 cm

Step 2: Find Surface Area

[Surface Area Formula - Cube] Substitute in a:
$\displaystyle \text{SA} = 6(6 \ \text{cm})^2$
Evaluate:
$\displaystyle \text{SA} = \boxed{216 \ \text{cm}^2}$