How do you explain a math equation?

I have a bag of 4 cotton candy lollipops 3 cherry 6 butterscotch and 1 orange what is the probability of randomly choosing a cot

lorasvet [3.4K]

Answer:

= 1/2

Step-by-step explanation:

From the question: 1 bag contains

4 cotton candy lollipops

3 cherry lollipops

6 butterscotch lollipops

1 orange lollipops

Total number of possible outcomes =

14

The probability of randomly choosing a cotton candy or orange lollipops is calculated as:

P(Cotton candy) + P(Orange)

= 4/14 + 3/14

= 7/14

= 1/2

4 0

2 years ago

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

AlladinOne [14]

Answer:

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=4$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.326$

Now we have everything in order to replace into formula (1):

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

4 0

2 years ago

A car dealership sells SUVs and passenger cars . For a recent year, 80 more SUVs were sold than passenger cars. If a total of 51

MAVERICK [17]

Answer:

295 SUVs were sold, and 215 passenger vehicles.

Step-by-step explanation:

Let s and p represent the number of SUVs and p the number of passenger cars.

Then s = p + 80 and s + p = 510.

Substitute p + 80 for s in the second equation, obtaining:

p + 80 + p = 510, or:

2p = 430

Dividing both sides by 2 isolates p: p = 215.

Since s = p + 80, we add 80 to 215 here, obtaining s = 295.

295 SUVs were sold, and 215 passenger vehicles.

3 0

3 years ago

Help pls I don’t get it

Dmitriy789 [7]

68.40 divide 6 = 11.4

41.80 divided 4= 10.45
Plan B is lower fee per lesson

8 0

2 years ago

Read 2 more answers

At the local pet store, zebra fish cost $2.00 each and neon tetras cost $2.15 each. If Ernesto bought 15 fish for a total cost o

bezimeni [28]

So first create and define your variables:
Z = amount of zebra fish
N = amount of neon tetras

Now create your equations:
2z+2.15n=31.20
z+n=15
This is your system. There are multiple methods to use but in this problem I’ll use the substitution method by simplifying the bottom equation.
2z+2.15n=31.20
z=15-n
Now I’ll plug the bottom equation into the top one.
2(15-n)+2.15n=31.20
And just solve from here.
30-2n+2.15n=31.20
0.15n=1.20
n=8
So he bout 8 neon tetras, and 15-8= 7, so he bought 7 zebra fish

6 0

2 years ago

Read 2 more answers