Ask question

Ask question

All categories

3 years ago

9

Please help .A spinner is divided into 6 equal sections. Each section is marked with one of the numbers 1 through 6. Miguel want

ed to test his hypothesis that the spinner is most likely to land on the number 1.

1 answer:

RUDIKE [14]3 years ago

7 0

Answer:

The answer is C

Step-by-step explanation:

You might be interested in

The graphs of y = f(x) and y = g(x) are shown on the coordinate plane below. If g(x) = k* f(x), what is the value of k?

mixer [17]

Answer:

Value of k = -2

Step-by-step explanation:

Using slope intercept form:

The equation of line is given by:

y = mx+b

where, m is the slope and b is the y-intercept.

As per the statement:

The graphs of y = f(x) and y = g(x) are shown on the coordinate plane.

First find f(x):

Consider two points on y=f(x) are:

(0,-3) and (2, 1)

Formula for slope:

$\text{Slope(m)} = \frac{y_2-y_1}{x_2-x_1}$

then;

$m = \frac{1-(-3)}{2-0}=\frac{4}{2} = 2$

then;

$y = 2x+b$

Substitute the point (0, -3) to solve for b:

$-3= 2(0)+b$

⇒ $-3=b$

∴ $y=f(x)=2x-3$

Similarly for g(x):

Consider two points on y = g(x) are:

(0, 6) and (2, -2)

then;

$\text{Slope(m)} = \frac{y_2-y_1}{x_2-x_1}$

then;

$m = \frac{-2-6}{2-0}=\frac{-8}{2} =-4$

then;

$y = -4x+b$

Substitute the points (0, 6) to solve for b:

$6= -4(0)+b$

⇒ $6=b$

then we get an equation:

y = g(x) = -4x+6

It is given that: If g(x) = k* f(x)

Solve for k:

$-4x+6 = k(2x-3)$

⇒ $-4x+6 = 2kx-3k$

on comparing both sides we have;

$-2kx = -4x$

⇒ $-2k = -4$

Divide both sides by -2 we have;

$k = 2$

or

-3k = 6

⇒k = -2

Therefore, the value of k is, -2

7 0

3 years ago

Read 2 more answers

Find an equation for a line<br> perpendicular to y= 3x – 5 , with a y-<br> intercept of -2

damaskus [11]

Answer:

Since the lines are Perpendicular..

The Product of their Gradients = -1

m'm"=-1

m' from y=3x - 5 is 3

3.m" = -1

m" = -1/3.

Since Intercept on y axis = -2...

That of x at that point is =0

y-y' = m"(x-x")

y-(-2) = -1/3( x - 0)

y+2 = -1/3(x)

Multiplying through by 3

3y + 6 = -x

3y + x = -6. This is your Equation

To verify this.

Let's turn it into the Intercept form which is

x/a + y/b = 1

To get 1 at the right hand side... Divide through by -6

3y/-6 + x/-6 = 1

y/-2 - x/6 = 1

You could see directly below y is its intercept and thats -2

8 0

3 years ago

What is the greatest common factor of 24 and 30

romanna [79]

The greatest common factor of 24 and 30 is 6.

4 0

3 years ago

Read 2 more answers

The disctance between -8 and 5 on the number line can be found by which expression??

Ilia_Sergeevich [38]

It's A. First of all, one of the only 2 things in math that will NEVER be negative is distances/lengths and times. You have a distance here, so because one of your 2 numbers is negative, you have to take the absolute value of the difference. -8-5 = -11, but the absolute value of that is 11. Put the numbers on a number line and count the units between -8 and +5 and there are 11 units between those 2 numbers.

5 0

3 years ago

Hello:) anyone able to explain how to solve the equestrian for part (d) ? Thank youu

Anna007 [38]

Answer:

see explanation

Step-by-step explanation:

Given

4 $a^{4}$ - 5a² + 1 = 0

Use the substitution u = a², then equation is

4u² - 5u + 1 = 0

Consider the product of the coefficient of the u² term and the constant term

product = 4 × 1 = 4 and sum = - 5

The factors are - 4 and - 1

Use these factors to split the u- term

4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )

4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term

(u - 1)(4u - 1) = 0

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

4u - 1 = 0 ⇒ 4u = 1 ⇒ u = $\frac{1}{4}$

Convert u back into terms of a, that is

a² = 1 ⇒ a = ± 1

a² = $\frac{1}{4}$ ⇒ a = ± $\frac{1}{2}$

Solutions are a = ± 1 , a = ± $\frac{1}{2}$

7 0

3 years ago