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3 years ago

Divide a 6 and 3/4 inch line into three parts so that each part is 1/4 inch shorter than the one before it.

Mathematics

1 answer:

Stells [14]3 years ago

4 0

Answer:

Hey there!

x+x+1/4+x+2/4

3x+0.75=6.75

3x=6

x=2

The lines are 2, 2 1/4, and 2 2/4.

Let me know if this helps :)

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A large population of variable x is characterized by its known mean value of 6.1 units and a standard deviation of 1.0 units and

scoundrel [369]

Answer:

-6.134 to +6.134

Step-by-step explanation:

given that a large population of variable x is characterized by its known mean value of 6.1 units and a standard deviation of 1.0 units and a normal distribution

X is Normal with mean =6.1 and std dev = 1 unit

We are to determine the range of values containing 70% of the population of x

We know that normal distribution curve is bell shaped symmetrical about the mean.

So to find 70% range we can use 35% on either side of the mean

Using std normal distribution table the value of z for which probability from 0 to z is 0.35 is 1.034

Hence corresponding x value is

$x=6.1+1.034*1\\x=6.134$

i.e. 70% values lie between

-6.134 to +6.134

3 0

3 years ago

Read 2 more answers

Solve the quadratic equation by completing the square x^2+5x-3=0

PIT_PIT [208]

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

${\tt{ x = \frac{ - 5±\sqrt{{5}^{2} - 4 \times 1 \times ( - 3)} }{2 \times 1} }}$

${\tt{x = \frac{ - 5±\sqrt{25 + 12} }{2} }}$

${\tt{x = \frac{ - 5 ±\sqrt{37} }{2} }}$

$\: \:$

${\tt{x = \frac{ - 5 + \sqrt{37} }{2} }}$

${\tt{x = \frac{ - 5 - \sqrt{37} }{2} }}$

8 0

2 years ago

Find b, given that a = 20, angle A = 30°, and angle B = 45° in triangle ABC

Kamila [148]

The side b is opposite to the angle B, applying the law of the sines, we have:

 $\frac{a}{sinA} = \frac{b}{sinB}$
$\frac{20}{sin30^0} = \frac{b}{sin45^0}$
$\frac{20}{ \frac{1}{2} } = \frac{b}{ \frac{ \sqrt{2} }{2} }$
$20* \frac{ \sqrt{2} }{2} = b* \frac{1}{2}$
$\frac{20 \sqrt{2} }{2} = \frac{b}{2}$
$2*b =2*20 \sqrt{2}$
$2b = 40 \sqrt{2}$
$b = \frac{40 \sqrt{2} }{2}$
$\boxed{b = 20 \sqrt{2} }$

6 0

3 years ago

Read 2 more answers

Which expression is equivalent to V-80? -45 -4.5i 4.5i 4.5

Anuta_ua [19.1K]

Answer:

-4.5i

Step-by-step explanation:

So if u see v-80, so there is a negative sign alr so u just hv to see

8 0

2 years ago

Help Plss How many solutions do y=5-2x and 4x+2y = 10 have?

tia_tia [17]

y=2x+5

2(2x+5)+4x=10

4x+10+4x=10

8x=20

So there's one solution, x=2.5

5 0

3 years ago