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2 years ago

Of 240 stamps that Harry and his sister collected, Harry collected 3 times as many as his sister. How many did each collected.

Mathematics

1 answer:

Alexeev081 [22]2 years ago

7 0

Answer:

Harry collected 180 stamps

Harry's sister collected 60 stamps

Step-by-step explanation:

Let X be the number of stamps that Harry's sister colleted.

The number of stamps Harry colleted is 3 time as many as his sister's

⇒ 3*X + X = 240

⇒ X = 60

⇒ 240 - 60= 180

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carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can w

zheka24 [161]

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

$\frac{5}{\frac{2}{3}}=7.5$

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

8 0

3 years ago

HELP! COME TO THIS QUESTION!!!!

marissa [1.9K]

Answer:

1: False.

2: False.

3: True.

4: False.

5: False.

6: False.

Step-by-step explanation:

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2 years ago

Which table values can be defined by the function y=2x+3

lbvjy [14]

Answer:

beggining poit:3 second point (potentially): 1,5

Step-by-step explanation:

in the y intercept 3 is it so which ever has a 3 as the starting point there could be an option

for the 2x part that is the slope otherwise known as rise over run so what you do is that you turn it to a fraction over or under 1 meaning you rise for 2 and go to the right 1

rise 2

run 1

in order to rise 2 you go up 2 from the y intercept(3) and in order to run you go right since its a positive

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4 0

2 years ago

Read 2 more answers

A line includes the points 2, 10 and 0, 2 what is its equation in slope intercept form

IRINA_888 [86]

Answer:

y = -4x + 2

Step-by-step explanation:

y = mx + b ( slope-intercept)

1. Find Slope:

$\frac{y^2 - y^1}{x^2 - x^1}$

Lets name 2 as y2 and 10 as y1. And 0 as x2 and 2 as x1.

$\frac{2-10}{0-2}$ = $\frac{-8}{2}$ = -4

m/slope = -4

2. Find y-intercept:

$y = mx +b$

2 = -4(0) + b

= 2 = b

Y-intercept/b = 2

3. Put into slope-intercept form:

y = mx + b

= y = -4x + 2

Hope that helps! :D

4 0

3 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 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 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

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

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago