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Zielflug [23.3K]
3 years ago
6

Consider a single spin of the spinner. Which events are mutually exclusive? Choose all that apply. a)landing on a shaded sector

and landing on a number greater than 3
b)landing on a shaded sector and landing on a 3
c)landing on a shaded sector and landing on an even number
d)landing on an unshaded sector and landing on a number less than 2
e)landing on an unshaded portion and landing on an odd number

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer: the correct options are b and d.

Step-by-step explanation:

Let us first define what mutually exclusive events are. If two events are mutually exclusive, it means that they cannot happen at the same time. For example, getting a head and a tail at the same time are mutually exclusive.

Considering a single spin of the spinner, the events that are mutually exclusive are

b)landing on a shaded sector and landing on a 3. This is because 3 is unshaded. You can either land on 3 or an unshaded sector at a time

d)landing on an unshaded sector and landing on a number less than 2. This is because the numbers in the unshaded sectors are greater than 2.

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Hunter-Best [27]
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<h3>Find y-intercept⤵️</h3>

  • (x,y) = (0,-5)

<h3>Minimum or maximum value⤵️</h3>

  • The minimum value is -9 at x=-2

<h3>Axis of symmetry⤵️</h3>

  • x= -2

<h3>Find x-intercepts⤵️</h3>

  • x= -5 & x= 1

5 0
3 years ago
What is the value of x?
Karo-lina-s [1.5K]
To calculate the value of x, you can apply:

 Tan(α)=Opposite leg/Adjacent leg

 In this case, the opposite leg is "x", and the adjacent leg is 15. The angle α is 30° (α=30°)

 When we substitute this values, we obtain:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/15
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 <span>What is the value of x?
</span>
 The answer is: The value of x is 5√3

6 0
3 years ago
SHOE COLLECTION: Marquise, Bron'Tavious, and JayDarius each have a shoe collection of Nike Air Vapor Max shoes. Marquise has two
Natasha_Volkova [10]

Answer:

(a) The number of shoes that Marquise has is 40 pairs of shoes

(b) The number of pairs of shoes that Bron'Tavious has is 20 pairs of shoes

(c) The number of pairs of shoes that JayDarius has is 35 pairs of shoes

Step-by-step explanation:

The given information are;

The number of shoes that Marquise has = 2 × The number of pairs of shoes that Bron'Tavious

The number of pairs of shoes that JayDarius has = The number of pairs of shoes that Bron'Tavious + 15

The total number of pairs of shoes they have all together = 95 pairs of shoes

Let the number of pairs of shoes that Bron'Tavious has = X. Therefore, we have;

The number of shoes that Marquise has = 2 × X

The number of pairs of shoes that JayDarius has = X + 15

The total number of pairs of shoes they have all together = X + X + 15 + 2 × X = 95

X + X + 15 + 2 × X = 95

4 × X + 15 = 95

4 × X = 95 - 15 = 80

X = 80/4 = 20

∴ X = 20

(a) The number of shoes that Marquise has = 2 × X = 2 × 20 = 40

The number of shoes that Marquise has = 40 pairs of shoes

(b) The number of pairs of shoes that Bron'Tavious has = X = 20

The number of pairs of shoes that Bron'Tavious has = 20 pairs of shoes

(c) The number of pairs of shoes that JayDarius has = X + 15 = 20 + 15 = 35

The number of pairs of shoes that JayDarius has = 35 pairs of shoes.

5 0
3 years ago
Write the equation of a line that is perpendicular to y = -0.3z +6 and that passes through the point
lawyer [7]

Answer:

y = 3.33x - 18

Step-by-step explanation:

In order for a line to be perpendicular to another, it must have a slope with the negative reciprocal

  • Here in the equation y = -0.3z + 6 has a slope of  -0.3 (can also be written as -\frac{3}{10})
  • A line that is perpendicular to this line will need to have a slope of 3.33 repeating (or \frac{10}{3})
  • I will using fractions for simplicity and convert to decimals afterwards

Since we have our slope and the two points, we can plug them into y = mx + b to solve for b and write our new equation of a line

  • Substituting in the values that we have we get: -8=\frac{10}{3}(3)+b
  • Simplifying we get -8 = 10 + b, making b = -18

Now that we have our slope and our y-intercept we can plug them into the same formula used before to find our perpendicular line:

  • y= \frac{10}{3}x-18 which can also be written as y = 3.33x - 18

5 0
3 years ago
andy has a remaining balance of $845 on his credit card. his credit card company has an apr of 18 percent. how much will andy pa
mars1129 [50]

Answer:  Andy will pay $12.675 in interest for one interest

Step-by-step explanation:

Since we have given that

Remaining balance of Andy on his credit card = $845

APR of his credit card = 18%

So, Rate of interest for one month will be

\frac{18}{12}=1.5\%

Interest will be paid for one month is given as

\frac{1.5}{100}\times 845\\\\=\frac{1267.5}{100}\\\\=\$12.675

Hence, Andy will pay $12.675 in interest for one interest .


6 0
3 years ago
Read 2 more answers
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