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3 years ago

2. Joyce waited three-quarters of an hour to

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Joyce waited 50 minutes waiting for the train

Step-by-step explanation:

divide 60 by 3 cause 3 quarters of an hour is 3/4 then you wanna take half an hour and add that (30 mins) getting 50 minutes

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Each year a certain type of tree grows vertically 14/15 as much as it did the year before. If the tree grows 1.5m during the fir

Anastaziya [24]

https://answers.yahoo.com/question/index?qid=20180411132938AApZYZz

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3 years ago

one-third of the people from country A claim that they are from country B, and the rest admit they are from country A. One-fourt

In-s [12.5K]

Answer: 3 : 2

Step-by-step explanation:

Let A represents the total population of country A and B represents the total population of country B.

According to the question,

$\text{The population of country A that admit they are from B} = \frac{1}{3}\text{ of }A$

⇒ $\text{ The population of A that admit they are from country A }= A - \frac{1}{3} \text{ of } A$

$= \frac{3-1}{3} A$

$= \frac{2}{3} A$

$\text{The population of country B that admit they are from A} = \frac{1}{4}\text{ of }B$

⇒ $\text{ The total population that claims that they are from A }= \frac{2}{3} A +\frac{1}{4} B$

But, Again according to the question,

The total population that claims that they are from A = one half of the total population of A and B.

⇒ $\frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}(A+B)$

⇒ $\frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}A+\frac{1}{2}B$

⇒ $\frac{2}{3} A - \frac{1}{2}A= \frac{1}{2}B-\frac{1}{4} B$

⇒ $\frac{4}{6} A - \frac{3}{6}A= \frac{2}{4}B-\frac{1}{4} B$

⇒ $\frac{1}{6} A = \frac{1}{4} B$

⇒ $A =\frac{6}{4}B$

⇒ $\frac{A}{B} =\frac{3}{2}$

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3 years ago

Assume that Santa has to deliver presents to almost 22 million kids an hour on the night before Christmas. What is his delivery

DENIUS [597]

Answer:

It's about 6,111 kids per second.

Step-by-step explanation:

1 hour = 60 minutes

1 minute = 60 seconds

60*60=3600

1 hour = 3600

hourly rate -> 22,000,000 kids/hr

secondly rate -> 22,000,000/3600 ≈ 6,111

secondly rate -> 6,111 kids/second

7 0

3 years ago

Find the surface area and show work

Law Incorporation [45]

Answer: $1,270in^2$

Step-by-step explanation:

The surface area of a rectangle can be calculated with:

$Area_{rectangle}=lenght*width$

The surface area of a trapezoid can be calculated with:

$Area_{trapezoid}=\frac{height}{2}(Larger\ base+Smaller\ base)$

Calculate the area of the base, wich is a rectangle:

$A_{1}=(34in)(15in)=510in^2$

There are two equal rectangles, therefore, multiply the area of any of them by 2:

$A_{2}=2(15in)(13in)=390in^2$

Calculate the area of the other rectangle:

$A_{3}=(15in)(10in)=150in^2$

There are two equal trapezoids, therefore, multiply the area of any of them by 2:

$A_4=\frac{2(5in)}{2}(34in+10in)=220in^2$

Therefore, the surface area will be the sum of all the areas calculated:

$SA=A_1+A_2+A_3+A_4\\\\SA=510in^2+390in^2+150in^2+220in^2\\\\SA=1,270in^2$

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3 years ago

The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. Sh

yulyashka [42]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 25235

For the alternative hypothesis,

µ > 25235

This is a right tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100,

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

x = sample mean = 27524

µ = population mean = 25235

s = samples standard deviation = 6000

t = (27524 - 25235)/(6000/√100) = 3.815

We would determine the p value using the t test calculator. It becomes

p = 0.000119

Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

6 0

3 years ago