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4 years ago

WILL MARK BRAINLIEST FEELING LAZY WORTH 15 POINTS

Mathematics

1 answer:

Zinaida [17]4 years ago

4 0

The irrational numbers are: √8, √10 and √15

Step-by-step explanation:

A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.

"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"

So in the given options

$\sqrt{4} = 2$

Which can be written in the required form so √4 is a rational number

$\sqrt{8}=2.828427124746190097603.....$

√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

$\sqrt{10}=3.16227766016837933....$

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

$\sqrt{15}=3.87298334620.....$

√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

$\sqrt{36} = 6$

Which can be written in the required form so √36 is a rational number

Hence,

The irrational numbers are: √8, √10 and √15

Keywords: Rational numbers, Irrational numbers

Learn more about rational numbers at:

#LearnwithBrainly

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In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc

coldgirl [10]

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

<em>p </em>= x / n

<em>p </em>= 91/110

<em>p </em>= 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.

6 0

3 years ago

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the

Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

$f(x)= 4(4)^x$

3 times a year

so x becomes 3x

$f(x)= 4(1+r)^{3x}$

$4(4)^x=4(1+r)^{3x}$

Take log on both sides

$log(4)^x=log(1+r)^{3x}$

Use log property and move exponent before log

$xlog(4)=3xlog(1+r)}$

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

$f(x)= 4(1+r)^{3x}$

so equation becomes

$f(x)= 4(1.59)^{3x}$

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C

5 0

3 years ago

At one point in a Girl Scout cookie sales drive, region C had sold 1500 boxes of cookies, and region D had sold 1200 boxes of co

juin [17]

Answer:

a)After 6 days region D will catch region C

b) Region C will sell 13500 cookies and region D will sell 13600 cookies

Step-by-step explanation:

a) Cookies sold by region C more than region D= 1500-1200=300

But region D can sells 50 cookies every day i-e

50 cookies = 1 day

==> 1 cookie= 1÷50

==> 300cookies = 300÷50=6 days

So, after 6 days region D will catch up region C's

b) If sale stopped after 8 days;

Then sale of region C for 8 days = 1500×8=12000 cookies

so , total cookies sold = 1500 +12000=13500

For region D;

Before catching up region C cookies sold by region D = 1200

Till catching up region C - region D had also sold 1500 cookies,

and for 50 extra cookies than region C

next 8 days region D will sale =(1500+50)×8=1550×8=12400 cookies

So, total number of cookies sold by region D = 1200+12400=13600

3 0

3 years ago

Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?

Crank

Answer: Derivative or y = mx + b

Step-by-step explanation:

Take the m value from the standard form equation:

y = mx + b

Or, the second way, is to take the derivative of the function and plug in your x value for your slope.

The derivative of a linear function is very easy to take, so it boils to preference

5 0

3 years ago

Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in

Pepsi [2]

Answer:

<h2>140 minutes</h2>

Step-by-step explanation:

this problem focuses on the combined work rate

both can finish the work under 63 minute

let bobby mow the lawn in x minute

Billy will then mow the lawn in x-25 minutes

Let the completed job = 1 (a mowed lawn)

we can now apply the combined work formula for the two boys as

$\frac{63}{x}+\frac{63}{x-25}=1$

multiplying through by x(x-25 )we have

$63(x-25)+63x= x(x-25)$

open bracket we have

$63x-1575+63x= x^2-25x$

rearranging and collecting like terms we have

$0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0$

we can now use the quadractic formula

$x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}$

a= 1

b= -151

c= 1575

$x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}$

$x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\$

$x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27$

the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time

let us check

$\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1$

we can see that the solution approximates to 1

8 0

4 years ago