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2 years ago

Write an equation to find the number of hours it will take Lily to reach her goal.

Mathematics

1 answer:

andrey2020 [161]2 years ago

4 0

Answer: 1 hour and 20 mins

Step-by-step explanation:

Lily has to walk 4 more miles to complete her goal and with the pace of 3m/h she will have to for 1 hour 20 mins, to complete her goal.

Distance to be covered= 4 miles Speed= 3 miles per hour

Time= Distance/Speed

Time= 4/3

Time= 1.33 hours

Time= 1 hour and 20 mins

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Awarding road contracts. A state Department of Transportation (DOT) recently claimed that each of five bidders received equal co

Sveta_85 [38]

Answer:

a) Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

Step-by-step explanation:

a) The concept applied here is combinatorics ; nCr = n!/(n - r)!r!

we are told that out of 5bidders, Three of the bidders were large construction conglomerates

and two were small specialty contractors.

selecting two recipients with tree of the bidders were large construction conglomerates 3C2

= 3!/(3-2)!2!

= 3

Similarly, selecting the two small casualty contractor from the total of 5bidders = 5C2

= 5!/(5-2)!2!

= 10

Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

b) if DOTs claim is not true ( probability of failure) = 1 - 0.3

= 0.7 , this value implies that the probability 0.3 is largely compatible and a compliment of the 0.7 and as such it is consistent with the DOTs claim that the selection was random.

7 0

3 years ago

scott rented a movie. It started at 11:36pm, and it was 2 hours and 49 minutes long. when did the movie end?

Elan Coil [88]

11:36
12:36 1 hour
1:36 2 Hour
1:36 plus 24 mins is 2 but 25 mins left of the movie so then you just add 25 to 2 hours which is 2:25 the movie ended at 2:25 a.m

5 0

4 years ago

There are 10 clown noses in a package the whole package is 6.99 what are the clown noses individually worth?

zalisa [80]

Answer:

Step-by-step explanation:

This is 1.42 or if u want a perfect rounded answer it would be 1.43 for each nose if the package was 7 dollars

6 0

3 years ago

Read 2 more answers

Which graph shows three points that represent ratios?

Simora [160]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21

katen-ka-za [31]

Answer:

$F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996$

Step-by-step explanation:

Data given and notation

$n_A = 21$ represent the sampe size for A

$n_B =16$ represent the sample size for B

$s_A = 28.284$ represent the sample deviation for A

$s_B = 20$ represent the sample deviation for B

$\alpha$ represent the significance level provided

F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:

$F=\frac{s^2_1}{s^2_2}$

Solution to the problem

System of hypothesis

We want to test if we have the same variation, so the system of hypothesis are:

H0: $\sigma^2_A = \sigma^2_B$

H1: $\sigma^2_A \neq \sigma^2_B$

Calculate the statistic

Now we can calculate the statistic like this:

$F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996$

8 0

4 years ago