Which fractions 1/3, 5/6, 3/4, 3/8 are closer to 0 than to 1?

9514 1404 393

Answer:

  g(x) = x + 1

Step-by-step explanation:

The transformation "shift left 3 units" is accomplished by replacing x in the function definition by x+3.

F(x) is defined as ...

  f(x) = 2x -4

Then the left shift gives ...

  f(x +3) = 2(x +3) -4 = 2x +2

__

The transformation "vertical compression by a factor of 1/2" is accomplished by multiplying the function by 1/2.

  g(x) = 1/2f(x +3) = (1/2)(2x +2)

  g(x) = x +1

__

In the attached, we wanted to show where the table points would end up if they were shifted left 3, then moved half their vertical distance toward the x-axis (compression by 1/2). Doing that, the points in the first table become the points in the second table. This is different from what you get when you simply substitute the same values of x into the new function g.

Consider, for instance, the bottom left point on the red graph. When it is moved 3 left, its coordinates are (-3, -4). When the y-coordinate is cut in half, its new location is (-3, -2), the bottom left point on the blue graph.

Answer:

she gives 225

Step-by-step explanation:

750×30% equals to 225

Answer:

Stephanie gives $225 to charity a month

Step-by-step explanation:

$750 / 100 = 7.5

7.5 x 30 = 225

7.5 x 70 = 525

700 - 525 = 225

Answer:

D. - 1/4

Step-by-step explanation:

Answer:

m<2=60

Step-by-step explanation:

52+68=120+60=180

Answer:

36 flowers are left over

Step-by-step explanation:

54 is 60% of 90

90-54=36

This question is incomplete, the complete question is;

Suppose that a random sample of eighteen recently sold houses in a certain city has a mean sales price of $280,000, with a standard deviation of $10,000. Under the assumption that house prices are normally distributed, find a 95% confidence interval for the mean sales price of all houses in this community. Then find the lower limit and upper limit of the confidence interval.

Answer:

At 95%, confidence interval is ( 275026.7, 284973.3 )

Hence;

Lower limit = 275026.7

Upper limit = 284973.3

Step-by-step explanation:

 Given that;

mean x = $280,000

standard deviation σ = $10,000

sample size n = 18

degree of freedom df = n - 1 = 18 - 1 = 17

∝ = 1 - 95% = 1 - 0.95 = 0.05  

so

Critical t value = tinv( 0.05, 17 ) = 2.11

now, at 95% confidence interval for mean will be;

⇒ x ± [ Critical t value × ( σ/√n) ]

so we substitute

⇒ 280,000 ± [  2.11 × ( 10000/√18) ]

⇒ 280,000 ± [  2.11 × 2357.0226 ]

⇒ 280,000 ± 4973.3

⇒ 280000 - 4973.3, 280000 + 4973.3

At 95%, confidence interval is ( 275026.7, 284973.3 )

Hence;

Lower limit = 275026.7

Upper limit = 284973.3

Answer:

The answer is C i.e an=4n-7

The answer for this question is:

7, 98

The minimum value of the function is 7 and the maximum value of the function will be 98.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = x³ + 34

The function is defined for the interval of [–3, 4].

The minimum value of the function at x = –3 will be

f(–3) = (–3)³ + 34

f(–3) = –27 + 34

f(–3) = 7

The maximum value of the function at x = 4 will be

f(4) = (4)³ + 34

f(4) = 64 + 34

f(4) = 98

Thus, the minimum value of the function is 7 and the maximum value of the function will be 98.

The graph is given below.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

1

Step-by-step explanation:

Answer:

-3/4

Step-by-step explanation:

y2 - y1 divided by x2 - x1 so you would do 2 - (-1) divided by 1 - 5

simplified is

3 divided by -4 or just -3/4

Answer:

1/26

Step-by-step explanation:

There is only one 6 of hearts and only one ace of diamonds.

The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.

The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results:  1/52 + 1/52 = 2/52 = 1/26.

Answer:

(-3/8)/(-1/3)

=(-3/8) x (-3)

=9/8

=11/8

Step-by-step explanation:

Answer:

The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.

Step-by-step explanation:

In the picture

Answer:

Standard deviation = 4

Step-by-step explanation:

Given the following data;

Mean = 25

Variance = 16

To find the standard deviation;

Mathematically, standard deviation is given by the formula;

[tex]Standard \; deviation = \sqrt{variance}[/tex]

Substituting into the formula, we have;

[tex]Standard \; deviation = \sqrt{16}[/tex]

Standard deviation = 4

Answer:

120

Step-by-step explanation:

The whiskers you see on the sides, are known as the minimum(Left) and the maximum (right).  

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that [tex]\sigma = 10[/tex]

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.96\frac{10}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.96*10[/tex]

[tex](\sqrt{n})^2 = (1.96*10)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up:

A sample size of 385 is needed.

Answer:

A- [tex]5.12*10^{-4}[/tex]

Step-by-step explanation:

1.6* 3.2

add the exponents so 10 to the -4

Answer:

[tex]{a}^{3} + {b}^{3} [/tex]

[tex] = (a + b)( {a}^{2} - ab + {b}^{2} )[/tex]

Hence, simplified

Answer:

5 children

Step-by-step explanation:

Solve

$7.31 x2 = $14.62

$46 - 14.62 =$32

5.66 divided by 5 = 28.3

5.66 divided by 6 = 33

$33 is bigger than $31

Therefore, the greatest number of children tickets can be purchased is only 5.

Answer:

2.4 hours or 2 hours, 24 minutes

Step-by-step explanation:

19.44 = 8.1h

h = 2.4

Step-by-step explanation:

• Question 1 :-

[tex]\tt\to \dfrac{1}{3}+? = 1 \\\\\tt\to ? = 1-\dfrac{1}{3}\\\\\tt\to ?=\dfrac{3-1}{3} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{3}}}[/tex]

_________________________________

• Question 2 :-

[tex]\tt\to \dfrac{3}{5}+? = 1 \\\\\tt\to ? = 1-\dfrac{3}{5}\\\\\tt\to ?=\dfrac{5-3}{5} \\\\\tt\to \boxed{\orange{ ? = \dfrac{2}{5}}}[/tex]

Answer:

I rhink the answer would be 273°

Step-by-step explanation:

57+180=237°

Answer:

∠ BAC = 28.5°

Step-by-step explanation:

∠ AOB = 180° - 57° = 123° ( straight angle )

OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is

∠ BAC = ∠ ABO , then

∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°

Answer:

choice 1) 0, -4/5

Step-by-step explanation:

1/(t² + t) = 1/t - 5

multiply both sides of the equation by (t² + t):

1 = (t² + t)/t - 5t² - 5t

1 = t + 1 - 5t² -5t

-5t² - 4t = 0

t(-5t - 4) = 0

t = 0

-5t = 4

divide both sides by -5:

t = -4/5

Answer:

x = 1.91

Step-by-step explanation:

x + 6.62 = 8.53

x + 6.62 - 6.62 = 8.53 - 6.62

x = 1.91

Answer:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation:

We have:

f(x) = 4*x³ + x² + x - 8

We want to write this in:

f(x) = (x - k)*q(x) + r.

with k = -1

Then we want to write:

4*x³ + x² + x - 8 = (x - (-1))*q(x) + r

4*x³ + x² + x - 8 = (x + 1)*q(x) + r

Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.

then:

q(x) = a*x² + b*x + c

Then:

4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r

4*x³ + x² + x - 8 = a*x³ + b*x² + c*x   + a*x² + b*x + c + r

if we take common factors in the right side we get:

4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)

Now, we must have:

4*x³ = a*x³

then:

4 = a

We also must have:

x² = (b + a)*x²

1 = (b + 4)

1 - 4 = b

-3 = b

We also must have:

x = (c + b)*x

1 = (c + (-3))

1 + 3 = c

4 = c

And finally:

- 8 =  (c + r)

-8 = 4 + r

-8 - 4 = r

-12 = r

Then:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Answer:

1320

Step-by-step explanation:

i am

Answer:

x - 5 < -2

Answer is there

The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:

For point A):

Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]

Considering gravity's acceleration of 32.17 feet/sec2

The rocket's height can be expressed as follows:

[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]

For point B):

A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.

Please find the attached file.

For point C):

Find out more information about the velocity here:

brainly.com/question/25749514