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Fynjy0 [20]
3 years ago
12

This spinner has 6 equal sections. What are the odds in simplest form against spinning blue or yellow?

Mathematics
2 answers:
astra-53 [7]3 years ago
5 0

Answer:

so the answer is A,B

Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes. Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes.

Step-by-step explanation:

MariettaO [177]3 years ago
3 0
B) Th chance of getting yellow and blue would be 2/6 but not getting it would be 4/6 and 4/6 in its simplest form is 2/3
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jekas [21]

Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°

To Find: The length of the park's boundary to the nearest yard.

Calculation:

The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc

or,                    (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)

or,                    (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or,                    (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or,                    (P) = 100 yards + 209.33 yards

or,                    (P) = 309.33 yards ≈309 yards

Hence, the option D:309 yards is the correct option.

7 0
3 years ago
Read 2 more answers
The ratio of boys to girls in a class is 5 to 6 which is an equivalent. Ratio
Vlad1618 [11]
There are many possible answers.
10:12
15:18
20:24
25:30
30:36
6 0
3 years ago
Read 2 more answers
A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti
jeyben [28]

Answer:

We need a sample of size at least 13.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence interval: (0.438, 0.642).

The proportion estimate is the halfway point of these two bounds. So

\pi = \frac{0.438 + 0.642}{2} = 0.54

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}

0.08\sqrt{n} = 1.96\sqrt{0.54*0.46}

\sqrt{n} = \frac{1.96\sqrt{0.54*0.46}}{0.08}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.54*0.46}}{0.08})^{2}

n = 12.21

Rounding up

We need a sample of size at least 13.

3 0
2 years ago
Mrs. Sloan draws two figures on the board.
Trava [24]

A dilated shape will either be enlarged or compressed.

<em>Allen did not make any mistake, and the scale factor is 3.</em>

The dimension of the smaller rectangle (figure Z) is:

3 units by 4 units

The corresponding dimension of the bigger rectangle (figure Z') is:

9 units by 12 units

The scale factor (k) is calculated by dividing the dimensions of Z' by Z.

So, we have:

k = \frac{9}{3}

k = 3

or

k = \frac{12}{4}

k = 3

Notice that both values of k are the same (i.e. 3)

This means that the scale factor is 3

Also figure Z and Z' share the same center of origin at point X

This means that the center of dilation from Z to Z' is X

Hence,

Allen made no mistake, and she is correct about the scale factor.

Read more about dilations at:

brainly.com/question/13176891

5 0
3 years ago
Given: F(x) = x + 2 and G(x) = 3x + 5 (F - G) (x) = <br><br> 1) 4 <br> 2) -3x - 3<br> 3) -2x - 3
mamaluj [8]
This equation is telling you to subtract the value of f(x) from the value of g(x).


f(x)= x + 2
g(x) = 3x + 5

so x + 2 - 3x -5 = -2x-3
4 0
3 years ago
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