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sweet [91]
3 years ago
12

Solve the inequality 2n – 1 < 39​

Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0

Answer:

n < 20​

Step-by-step explanation:

2n – 1 < 39​

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20​

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3 years ago
Solve using substitution​
aliina [53]

Answer:

(3, -8)

Step-by-step explanation:

-3*3 - 3y = 15

-9 -3y = 15

3y = -24

y = -8

3 0
3 years ago
A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the followin
maks197457 [2]

Answer:

(a) \sum x_i=56.68 and \sum x_i^2=197.46

(b) The sample variance is s^2=0.530 and the sample standard deviation is s=0.728

Step-by-step explanation:

(a)

The sum of these 17 sample observations is

\sum x_i=2.79\:+2.57+\:2.73\:+3.75\:+2.27+\:2.75+\:4.00+\:4.22+\:3.88+\:4.35+\:3.41+\:4.57+\:2.38+\:3.73\:+2.75+\:3.47+\:3.06\\\\\sum x_i=56.68

and the sum of their squares is

\sum x_i^2=2.79^2\:+2.57^2+\:2.73^2\:+3.75^2\:+2.27^2+\:2.75^2+\:4.00^2+\:4.22^2+\:3.88^2+\:4.35^2+\:3.41^2+\:4.57^2+\:2.38^2+\:3.73^2\:+2.75^2+\:3.47^2+\:3.06^2\\\\\sum x_i^2=197.46

(b)

The sample variance, denoted by s^2, is given by

s^2=\frac{S_{xx}}{n-1}

where S_{xx} =\sum x_i^2-\frac{(\sum x_i)^2}{n}

Applying the above formula we get that

S_{xx}=197.46-\frac{(56.68)^2}{17}\\\\S_{xx} =8.482

s^2=\frac{8.482}{17-1}=0.530

The sample standard deviation, denoted by <em>s</em>, is the (positive) square root of the variance:

s=\sqrt{s^2}

Applying the above formula we get that

s=\sqrt{0.530}=0.728

3 0
3 years ago
BRAINLIESTTT ASAP! MATH EXPERT PLEASE HELP ME :)
kirza4 [7]

Answer:

It's true.

Explanation:

2(segment ST) = RT

divide both sides by two

ST = RT/2

You would have two equal halves of RT. One half equals RS. The other half equals ST.

Here's a rough picture of the line.

R _____________S_____________ T

S is in the middle of the line which makes it the midpoint.

It's true. S is the midpoint of RT.

3 0
3 years ago
Read 2 more answers
Given the function f (x) = - x^2 + 8x + 9 state whether the vertex represents a maximum or minimum point for the function explai
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The vertex will be a maximum because the equation is negative, meaning the parabola opens downwards and will have a maximum point but no minimum point as it will get infinitely smaller.
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