Ask question

Ask question

All categories

3 years ago

13

Lena spins the spinner once. What is probability that she will land on

1 answer:

mestny [16]3 years ago

4 0

Answer:

$\frac{2}{5}$

Step-by-step explanation:

These individual slices are equal size, so they have an equal chance of being landed on.

There are 4 white slices out of the 10 total slices.

This means there's a $\frac{4}{10}$ chance Lena will land on white.

$\frac{4}{10}$ simplified is $\frac{2}{5}$ .

You might be interested in

the work in an office take 150 hours to complete every week each person in the office works for 32 hours a week what is the smal

Lynna [10]

Answer:

5 people

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find k so that the distance from (–1, 1) to (2, k) is 5 units. k= k= *there are two solutions for 2*

dalvyx [7]

Answer:

k = -3

k =5

Step-by-step explanation:

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\$

$5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\$

$\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3$

7 0

3 years ago

Read 2 more answers

A theater group surveyed 146 audience members after a show and found that 132 of them wanted to see the show again. Find the sta

Sophie [7]

Answer:

0.024

Step-by-step explanation:

Sample size (n) = 146 people

The proportion (p) of people who answered that they would be interested in seeing the show again is:

$p=\frac{132}{146}\\ p=0.9041$

The standard error for a sample of size 'n' and proportion 'p' is:

$SE = \sqrt{\frac{p*(1-p)}{n}}\\SE = \sqrt{\frac{0.9041*(1-0.9041)}{146}}\\ SE=0.024$

The standard error for the sample proportion of audience members who want to see the show again is 0.024.

4 0

3 years ago

Maria is purchasing sandwiches for her team at work. Each sandwich costs $6.25 and there is a delivery fee of $15.00, all taxes

Oduvanchick [21]

Answer:

The maximum number of sandwiches she can buy is 24.

Step-by-step explanation:

We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

$cost(x) = 15 + 6.25*x$

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

$cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8$

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.

3 0

3 years ago

A dog buried 18 bones in his backyard. On Monday, he dug up 1/2 of his bones. On Tuesday, he dug up another 1/3 of his bones. Ho

Korolek [52]

Answer:

3

Step-by-step explanation:

A dog buried 18 bones

On Monday he dug up 1/2 of the bones

On Tuesday he dug up 1/3 of the bones

= 1/2 × 18

= 9

= 1/3×18

= 6

Therefore the remaining bones still buried in the ground can be calculated as follows

= 9+6

= 15

= 18-15

= 3

Hence 3 bones are still buried in the ground

5 0

3 years ago