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2 years ago

Im being timed so please be quick thank you !!

Mathematics

2 answers:

ivanzaharov [21]2 years ago

3 0

Answer:

Step-by-step explanation:

The y-intercept (the point where the line intersects with the y-axis) is -2, and the slope is 2/3 (two units up every three units to the right).

madreJ [45]2 years ago

3 0

Answer:

Step-by-step explanation:

First, look for the graph that shows a line with a y-intercept of -2. There is only one graph that shows a line with a y-intercept of -2. The graph will be the third graph. Please see attachment for the equation in a graphing calculator.

Hope this helps!

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If it is assumed that the heights of men are normally distributed with a standard deviation of 2.5 inches, how large a sample sh

Volgvan

Answer:

30 men

Step-by-step explanation:

In order to be sure that the sample mean does differ from the population mean by more than 0.90, the sample size (n) that should be used is given by:

$0.90 < Z\frac{s}{\sqrt{n}}$

Where 'Z' , for a 95% probability is 1.960, 's' is the standard deviation of 2.5 inches:

$0.90 > 1.960\frac{2.5}{\sqrt{n}}\\n >(\frac{1.960*2.5}{0.9})^2\\n>29.64$

Rounding up to the nearest whole number, the sample size should be at least 30 men.

7 0

3 years ago

Country A has a growth rate of 4.9% per year. The population is currently 4 comma 151,000, and the land area of Country A is 1

kvv77 [185]

Answer:

There will be one person on 1 square yard of land after 1,892,147.588 years.

Step-by-step explanation:

Continuous exponential growth formula:

$P(t)=Pe^{rt}$

P(t)= Population after t years.

P= Initial population

r=rate of growth.

t= time in year

Given that,

Growth rate of country A (r)= 4.9% per year=0.049 per year.

Initial population (P)= 151,000.

Land area of country area= 14,000,000,000 square yards.

There will be one person on one square yard of land.

So, there will be 14,000,000,000 person for 14,000,000,000 square yard of land in country A.

P(t)=14,000,000,000 person

$\therefore 14,000,000,000= 151,000 e^{0.049t}$

$\Rightarrow e^{0.049t}=\frac{ 14,000,000,000}{ 151,000}$

Taking ln both sides

$\Rightarrow ln|e^{0.049t}|=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow {0.049t}=ln|\frac{ 14,000,000,000}{ 151,000}|$

$\Rightarrow t}=\frac{ln|\frac{ 14,000,000,000}{ 151,000}|}{0.049}$

$\Rightarrow t}=1,892,147.588$ years

There will be one person for every square yard of land after 1,892,147.588 years.

7 0

3 years ago

What is the answer for m^2-5m-14=0?

tensa zangetsu [6.8K]

Answer: m = 7 or -2

Step-by-step explanation:

Quadratic Formula! $\frac{{-b (+/-)\sqrt{(b^{2}-4ac }}}{2a}$

Polynomial Form: $ax^{2} +bx+c$

So in this example a: 1 b: -5 c: -14

You get: $\frac{{-(-5) (+/-)\sqrt{((-5)^{2}-4(1)(-14) }}}{2(1)}$

m = 7 or -2

Check by plugging a value back in for m

$(7)^{2} -5(7)-14=0?\\(-2)^{2} -5(-2)-14=0?\\$

True for both.

3 0

3 years ago

Roberto wants to display his 18 sports cards in an album . Some pages hold 2 cards and others hold 3 cards .

nexus9112 [7]

Answer:

Step-by-step explanation:

Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.

2a + 3b =18

Ricardo can fill up 9 2-card pages, and 6 3-card pages.

a=9, b=0

We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:

a=6, b=2

Add 2 to b once more:

a=3, b=4

One more time:

a=0, b=6:

Thus, Ricardo can display his figures in the following page combinations:

a=9, b=0

a=6, b=2

a=3, b=4

a=0, b=6

Remember that a= number of 2-card pages and b=number of 3-card pages

There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses.

3 0

3 years ago

Shailes class had 2 students out of 5 students choose Fortnite as their favorite video game. What was the

GuDViN [60]

Answer:

Step-by-step explanation: <em>2 divided by 5 is 0.4 so that is 40%</em>

6 0

3 years ago

Read 2 more answers