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4 years ago

-10y+9x=-9 10y+5x=-5

2 answers:

8 0

Point Form:
(-1,0)
Equation Form:
x=−1, y=0
There weren’t specific instructions to answer this question so here’s what x and y would equal

TEA [102]4 years ago

7 0

You cannot add -10y+9x or 10y+5x because of the rule “combine like terms”...

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6) A climber is on a hike. After 2 hours she is at an altitude of 400 feet. After 6 hours, she is at an

Bas_tet [7]

Answer:

<em>Her rate of change is 75 ft/h</em>

Step-by-step explanation:

<u>Rate of Change</u>

It measures how one quantity varies with respect to another. The second variable usually is the time.

The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).

At 6 hours, she is at 700 ft. This is the point (6,700)

The rate of change is the slope between these two points or the quotient of the variations of each variable:

$\displaystyle m=\frac{700\ ft-400\ ft}{6\ h-2\ h}$

$\displaystyle m=\frac{300\ ft}{4\ h}$

$m=75\ ft/h$

Her rate of change is 75 ft/h

3 0

3 years ago

The centers for disease control and prevention reports 25% baby boys 6 to 8 months in the US weigh more than 20 pounds a sample

Vesna [10]

Answer:

P(x < 3) = 0.1971

Explanation:

To calculate the probability that x babies weigh more than 20 pounds, we will use the binomial distribution, so it can be calculated as:

$\begin{gathered} P(x)=nCx\cdot p^x\cdot(1-p)^{n-x} \\ Where\text{ nCx=}\frac{n!}{x!(n-x)!} \\ \\ With\text{ n = size of sample} \\ p=\text{ probability of success \lparen the baby weight more than 20 pounds\rparen} \end{gathered}$

So, replacing n = 16 and p = 0.25, we get that the probability is equal to

P(x) = 16Cx (0.25)^x (1 - 0.25)^(16 - x)

$P(x)=16Cx\cdot0.25^x\cdot(1-0.25)^{16-x}$

Now, the probability that fewer than three weights more than 20 pounds are equal to

$\begin{gathered} P(x$

Then

P(x < 3) = 0.01 + 0.0535 + 0.1336

P(x < 3) = 0.1971

Therefore, the answer is

P(x < 3) = 0.1971

3 0

1 year ago

the figure at the right shows the dimensions of the garden in Marissa's back yard. What is the area of the garden?

vodka [1.7K]

The area of the garden is 74 square feet

<h3>How to determine the area of the garden?</h3>

The complete question is added as an attachment

From the attached figure, we have the following shapes and dimensions:

Rectangle: 10 by 5 feet
Trapezoid: Bases = 10 and 6; Height = 3

The rectangular area is

A1 = 10 * 5

Evaluate

A1 = 50

The area of the trapezoid is

A2 = 0.5 * Sum of parallel bases * height

This gives

A2 = 0.5 * (10 + 6) * 3

Evaluate

A2 = 24

The total area is

Total = A1 + A2

This gives

Total = 50 + 24

Evaluate

Total = 74

Hence, the area of the garden is 74 square feet