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2 years ago

Consider a single spin of the spinner.

Mathematics

2 answers:

alex41 [277]2 years ago

6 0

Answer:

"landing on a shaded portion and landing on a 3"

"landing on an unshaded portion and landing on a number less than 2 "

Step-by-step explanation:

Mutually exclusive means the events will have no intersection.

Let's look at your first choice:

"landing on a shaded portion and landing on an even number"

Landing on a shaded portion would be 1 or 4.

Landing on an even number would be 2 or 4.

There is an intersection (they contain a common element), the 4.

These events are not mutually exclusive.

Let's look at your second choice:

"landing on a shaded portion and landing on a number greater than 3"

Landing on a shaded portion would be 1 or 4.

Landing on a number greater than 3 would be just 4.

There is an intersection; they both contain 4.

These events are not mutually exclusive.

Let's look at your third choice:

"landing on a shaded portion and landing on a 3"

Landing on a shaded portion would be 1 or 4.

Landing on 3 would just be 3.

There is no common elements in the lists listed. These events have no intersection.

These events are mutually exclusive.

Let's look at your fourth choice:

"landing on an unshaded portion and landing on an odd number"

Landing on a unshaded portion would be 2 or 3.

Landing on an odd number would be 1 or 3.

There is an intersection; they both have 3 in common.

These events are not mutually exclusive.

Let's look at your fifth choice:

"landing on an unshaded portion and landing on a number less than 2 "

Landing on an unshaded portion would 2 or 3.

Landing on a number less than 2 would be 1.

There is no intersection.

These events are mutually exclusive.

Cloud [144]2 years ago

5 0

Answer:

2nd and 5th Option

2nd Option: Landing on a shaded portion and landing on a number greater than 3

5th Option: Landing on an unshaded portion and landing on a number less than 2

Step-by-step explanation:

edge 2020

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Find the residual values, and use the graphing calculator tool to make a residual plot. A 4-column table with 5 rows. The first

Georgia [21]

Answer:

Solution-

We know that,

Residual value = Given value - Predicted value

The table for residual values is shown below,

Plotting a graph, by taking the residual values on ordinate and values of given x on abscissa, a random pattern is obtained where the points are evenly distributed about x-axis.

We know that,

If the points in a residual plot are randomly dispersed around the horizontal or x-axis, a linear regression model is appropriate for the data. Otherwise, a non-linear model is more appropriate.

As, in this case the points are distributed randomly around x-axis, so the residual plot show that the line of regression is best fit for the data set.

Hope this helps!

Step-by-step explanation:

4 1

2 years ago

Read 2 more answers

Find the sine function that is represented in the graph.

meriva

Answer:

Choice D). $f(x)=20\sin(4x)$ is correct.

Step-by-step explanation:

Given function graph is sinusoidal so let's compare with formula $f(x)=A\sin(Bx-C)+D$

We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20

So amplitude A=20

In that formula, period is given by $\frac{2\pi}{B}$

From graph we see that period is $\frac{\pi}{2}$

So both must be equal

$\frac{2\pi}{B}=\frac{\pi}{2}$

$\frac{2}{B}=\frac{1}{2}$

cross multiplying them gives

B=4

Clearly there is no shift so C and D are 0

Now plug these values into formula $f(x)=A\sin(Bx-C)+D$

$f(x)=20\sin(4x-0)+0$

$f(x)=20\sin(4x)$

Hence choice D is correct.

6 0

2 years ago

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amoun

Inessa [10]

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

5 0

2 years ago

If the pointer in the figure is spun twice, find the probability that the pointer lands on red (R) both spins.

r-ruslan [8.4K]

The probability of the pointer lands on red(R) both spin = $\frac{1}{36}$

Step-by-step explanation:

Given,

The number of parts = 6

The pointer is spun twice.

To find the probability of the pointer lands on red(R) both spin.

Formula

Probability of an event = number of required outcomes ÷ the total number of outcomes.

P(A and B) = P(A)×P(B)

Now,

For one spin,

A = RED comes.

For second spin,

B = RED comes

So,

P(A) = $\frac{1}{6}$ and P(B) = $\frac{1}{6}$

Then,

P(A and B) = $\frac{1}{6}$ × $\frac{1}{6}$ = $\frac{1}{36}$

Hence, the probability of the pointer lands on red(R) both spin = $\frac{1}{36}$

4 0

2 years ago

*will mark brainliest*

laiz [17]

<span>7x-6y=14
6x-y=-17
x = -4 y = -7 (SOLUTION) ; in ordered pair form (x,y) = (-4,-7)

</span><span>3x+8y=16
-9x-24y=-48
INFINITE SOLUTIONS: general form = (x,y) = ( x, -(3x/8)+2 )

Edited later:
</span>7x-6y=14
6x-y=-17
From second equation 6x - y = -17, we have y = 6x +17. Substitute this in the first equation to get
7x-6y=14
>> 7x-6(6x+17)=14
>> 7x-36x-102=14
>> 7x-36x=102+14
>> -29x=116
>> x=116/(-29)
>> x=-4

Now plug this value in y = 6x +17, to get
y = 6(-4) + 17 = -24 +17 = -7

So x = -4, y = -7 is the solution.

5 0

2 years ago