Solutions to this quadratic F(x) = x^2 + x

PLS HELP!! BRAINLIESt & 20 POINTS!! AND AN EXTRA THANKS AND 5 STARS

sasho [114]

Answer:

Step-by-step explanation:

a) Frequency table:

Category Frequency

Dog 4

Cat 3

Fish 2

Hamster 1

b) Relative frequencies of each animal type

Dog: 4/10 = 0.4

Cat: 3/10 = 0.3

Fish: 2/10 = 0.2

Hamster: 1/10 = 0.1

c) Popularity

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

8 0

3 years ago

HELPPPPPPPPPPP WHAT IS 67+8,900+12+14+15????

Blababa [14]

Answer:

9,008

Step-by-step explanation:

67 + 12 = 79

14 + 15 = 29

79 + 29 = 108

8,900 + 108 = 9,008

plz mark me brainliest

3 0

3 years ago

Read 2 more answers

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25

swat32

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

3 0

3 years ago

The following scatter plot shows the number of page views for a popular website and how many people signed up to receive emails

My name is Ann [436]

Answer:

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Linear Regression

Step-by-step explanation:

We can draw any best line of fit, as long as it is reasonable around the points that are given.

We can just take 2 points and use slope formula and Slope-Intercept Form to find the equation for the best line of fit.

Using Linear Regression, we can determine the true best line of fit using graphing utilities.

Finding the best line of fit

Define 2 points

Point (21600, 205)

Point (27000, 290)

Find slope m

Substitute in point [SF]: $\displaystyle m=\frac{290-205}{27000-21600}$
[Fraction] Subtract: $\displaystyle m=\frac{85}{5400}$
[Fraction] Simplify: $\displaystyle m=\frac{17}{1080}$

Find equation

Define equation [SIF]: $\displaystyle y = \frac{17}{1080}x + b$
Substitute in point: $\displaystyle 290 = \frac{17}{1080}(27000) + b$
Multiply: $\displaystyle 290 = 425 + b$
Isolate y-intercept b: $\displaystyle -135 = b$
Rewrite: $\displaystyle b = -135$
Redefine equation: $\displaystyle y = \frac{17}{1080}x - 135$

Slope-Intercept Form tells us that our slope m = $\displaystyle \frac{17}{1080}$ and our y-intercept $\displaystyle b = -135$ .

Setting this as function f(x), we can see from the graph that it is extremely accurate (Blue line).

Using Linear Regression

Depending on the graphing calc you have, the steps may be different.

Using a graphing calc, we can use statistics and determine the best best line of fit.

When we determine the values, we should see that our equation would be g(x) (Green Line).

Credit to Lauren for collabing w/ me in graphing.

6 0

3 years ago

The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.1. This distribution

cluponka [151]

Answer:

Step-by-step explanation:

Hello!

The definition of the Central Limi Theorem states that:

Be a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.

As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.

X[bar]≈N(μ;σ²/n)

If the variable of interest is X: the number of accidents per week at a hazardous intersection.

There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15

I hope it helps!

5 0

3 years ago

Solutions to this quadratic F(x) = x^2 + x - 2