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iragen [17]
3 years ago
6

A spinner with 6 equally sized slices has 1 blue slice, 2 red slices, and 3 yellow slices. The dial is spun and stops on a slice

at random. What is the probability that the dial stops on a blue or red slice? Write your answer as a fraction in simplest form.
Mathematics
1 answer:
Darya [45]3 years ago
4 0

Answer:

1/2

Step-by-step explanation:

Step one:

given data

sample space

1 blue slice,

2 red slices, and

3 yellow slices

sample size= 1+2+3= 6

Required:

The probability that the dial stops on a blue or red slice

1. The probability that the dial stops on a blue = 1/6

2. The probability that the dial stops on a red= 2/6= 1/3

Hence The probability that the dial stops on a blue or red= 1/6+1/3

= 1+2/6

=3/6

=1/2

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3 years ago
Doune Punowing:
nataly862011 [7]

The length of pathway is 10 inches on map.

Step-by-step explanation:

Given,

Total distance = 350 miles

According to map,

1 inch = 35 miles

Let, x be the number of inches on map.

Therefore, using proportion;

Inch : mile :: inch : mile

1:35::x:350\\

Product of mean = Product of extreme

35*x=350*1\\35x=350\\

Dividing both sides by 35;

\frac{35x}{35}=\frac{350}{35}\\x=10

The length of pathway is 10 inches on map.

Keywords: Ratio, proportion

Learn more about proportions at:

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8 0
3 years ago
The amount of time a passenger waits at an airport check-in counter is random variable with mean 10 minutes and standard deviati
Stolb23 [73]

Answer:

(a) less than 10 minutes

= 0.5

(b) between 5 and 10 minutes

= 0.5

Step-by-step explanation:

We solve the above question using z score formula. We given a random number of samples, z score formula :

z-score is z = (x-μ)/ Standard error where

x is the raw score

μ is the population mean

Standard error : σ/√n

σ is the population standard deviation

n = number of samples

(a) less than 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Therefore, the probability that the average waiting time waiting in line for this sample is less than 10 minutes = 0.5

(b) between 5 and 10 minutes

i) For 5 minutes

x = 5 μ = 10, σ = 2 n = 50

z = 5 - 10/2/√50

z = -5 / 0.2828427125

= -17.67767

P-value from Z-Table:

P(x<5) = 0

Using the z table to find the probability

P(z ≤ 0) = P(z = -17.67767) = P(x = 5)

= 0

ii) For 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Hence, the probability that the average waiting time waiting in line for this sample is between 5 and 10 minutes is

P(x = 10) - P(x = 5)

= 0.5 - 0

= 0.5

3 0
3 years ago
If angle a measures 64 then what does angle b measure?
Naddik [55]

Answer:

b = 26°

Step-by-step explanation:

a ; b = complementary =>

a + b = 90°  } => b = 90° - 64° = 26°

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8 0
3 years ago
Read 2 more answers
In circle B with the measure of minor arc AC= 84°, find m
ELEN [110]

Answer:

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Step-by-step explanation:

Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.

If minor arc is given as 84°, therefore:

m<ADC = ½(84)

m<ADC = 42°

3 0
3 years ago
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