All categories

2 years ago

How many buses do you need for 550 people if each bus holds 50 people

Mathematics

2 answers:

melisa1 [442]2 years ago

7 0

Answer:

550 ÷ 50 = 11

11 buses are needed

zzz [600]2 years ago

6 0

You need 11 buses for 550 people. 550 divided by 50 is 11.

You might be interested in

Quien me ayuda (((2)³)¹)⁶ ((((-4)³)¹)⁷)¹

sukhopar [10]

I really don’t know and dudjduifhdhsid

4 0

3 years ago

Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When

8_murik_8 [283]

Answer:

P(C/R) = 0.4298

Step-by-step explanation:

Missing word "arble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places )"

Solution:

Given that P(A) = 75% = 0.75

P(B) = 20% = 0.20

P(C) = 0.05

The chance of drawing a Red marble fro,

P(R/A) = 2% = 0.02

P(R/B) = 25% = 0.25

P(R/C) = 98% = 0.98

If he select Box A than the probability of Red marble drawing

= P(A) * P(R/A)

= 0.75 * 0.02

= 0.015

If he select Box B than the probability of Red marble drawing

= P(B) * P(R/B)

= 0.20 * 0.25

= 0.5

If he select Box C than the probability of Red marble drawing

= P(C) * P(R/C)

= 0.98 * 0.05

= 0.049

So total probability of drawing Red marble is

P(R) = 0.015 + 0.050 + 0.049

P(R) = 0.114

If the Contestant draw a Red marble. Probability that it comes from box type (C) using Boyes theorem is

P(C/R) = {P(C) * P(R/C)} / P(R)

P(C/R) = 0.049 / 0.114

P(C/R) = 0.429824

P(C/R) = 0.4298

3 0

3 years ago

In the following expression, which of the following are like terms? 3m + 2n + 4m + 4

KatRina [158]

3m and 4m

Since 3m and 4m are attached to the same variable, they are like terms, since they can appropriately be combined.

6 0

3 years ago

Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She reco

TEA [102]

I think it’s 18 and I will explain how I got that

Explanation: so first I added all the marbles she took out to see the total she took out which was 50 and if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10 (times because we want to see how many times the red marble would come out) and that’s 18

8 0

3 years ago

Read 2 more answers

A manufacturer of pharmaceutical products analyzes specimens from each batch of a product to verify the concentration of the act

Alisiya [41]

Answer:

$0.82-2.977\frac{0.048}{\sqrt{15}}=0.783$

$0.82+2.977\frac{0.048}{\sqrt{15}}=0.857$

So on this case the 99% confidence interval would be given by (0.783;0.857)

So then we can conclude that at 99% of confidence the true mean is between (0.783;0.857) and the specification is satisfied since the value of 0.8 is on the confidence interval

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".

$\bar X= 0.82$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.048 represent the sample standard deviation

n=15 represent the sample size

Solution to the problem

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that $t_{\alpha/2}=2.977$

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

$0.82-2.977\frac{0.048}{\sqrt{15}}=0.783$

$0.82+2.977\frac{0.048}{\sqrt{15}}=0.857$

So on this case the 99% confidence interval would be given by (0.783;0.857)

So then we can conclude that at 99% of confidence the true mean is between (0.783;0.857) and the specification is satisfied since the value of 0.8 is on the confidence interval

5 0

3 years ago