All categories

4 years ago

Complete each sentence to make a true statement.

Mathematics

2 answers:

storchak [24]4 years ago

8 0

Answer:

1/6, 1/4.

Step-by-step explanation:

The theoretical probability of rolling a 2 on a single roll of a number cube is 1/6, because there are 6 numbers ( 1 to 6) on a cube.

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is 1/4, because there are 4 different colours on the spinner.

Vinil7 [7]4 years ago

8 0

Answer:

(a) 1/6

(b) 1/4

Step-by-step explanation:

Formula for theoretical probability:

$probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

(a)

We need to find the theoretical probability of rolling a 2 on a single roll of a number cube.

Total outcomes = 6

Favorable outcomes = 1

The theoretical probability of rolling a 2 on a single roll of a number cube is

$P=\frac{1}{6}$

(b)

We need to find the theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is

Total outcomes = 4

Favorable outcomes = 1

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is

$P=\frac{1}{4}$

You might be interested in

In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:

Radda [10]

Answer:

B (0.312, 0.364)

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 interval $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that $n = 1289$ .

Of the respondents, 436 replied that America is doing about the right amount. This means that $\pi = \frac{436}{1289} = 0.3382$ .

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. 

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

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364$

The 95% confidence interval is:

B (0.312, 0.364)

5 0

3 years ago

Dots sells t-shirts ($2) and shorts ($4). In April total sales were $456. People bought 4 times as many t-shirts as shorts. How

Doss [256]

Answer:

Dots sold 152 t-shirts and 38 shorts sold.

Step-by-step explanation:

Let t = t-shirts and s = shorts.

We know that people bought 4 times as many t-shorts as shorts, which can be set to the equation t = 4s

Since t-shirts cost $2, shorts cost $4, and the total sales was $456, we can set the equation 2t +4s = 456

So our two equations are:

t = 4s

2t + 4s = 456

Substitute t from the 1st equation into the 2nd:

2(4s) + 4s = 456

8s + 4s = 456

12s = 456

s = 38

There were 38 shorts sold.

Since we have the number of shorts, we can plug that back into the 1st equation to find the number of t-shirts sold:

t = 4s

t = 4(38)

t = 152

There were 152 t-shirts sold.

4 0

4 years ago

Add and simplify 9 sixteenths plus one half equals

brilliants [131]

9/16 + 1/2 = 9/16 + 8/16 = 17/16 = 1 1/16

5 0

3 years ago

A rectangular playground is 40 meters by 10 meters its area will be covered with wood chips each bag of wood chips covers 200 sq

zysi [14]

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangular playground is expressed as

Area = length × width

The rectangular playground is 40 meters by 10 meters. This means that the area of the playground would be

Area = 40 × 10 = 400 m²

Each bag of the wooden Chips to be used to cover the playground covers 200 sq meters. The number of bags needed would be

400/200 = 2 bags

Each bag costs $30. Therefore, the total cost for this project would be

2 × 30 = $60

7 0

3 years ago

-2(bx-5)=16<br> The value of x in terms of b is?<br> That value of x when b is 3?

grin007 [14]

Answer:

Step-by-step explanation:

Let's solve for b.

−2(bx−5)=16

Step 1: Add -10 to both sides.

−2bx+10+−10=16+−10

−2bx=6

Step 2: Divide both sides by -2x.

−2bx/−2x=6/−2x

b=−3x

Answer:

b=−3x

———————————————————

Let's solve for x.

−2(bx−5)=16

Step 1: Add -10 to both sides.

−2bx+10+−10=16+−10

−2bx=6

Step 2: Divide both sides by -2b.

−2bx/−2b=6/−2b

x=−3b

Answer:

x=−3b

Hope this helps you out

7 0

4 years ago