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Olin [163]
3 years ago
10

A man drove 11 mi directly east from his home, made a left turn at an intersection, and then traveled 9 mi north to his place of

work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer: 14 miles

Step-by-step explanation:

In the attached figure we can see the two segments the man drove, where the d is the distance of a road that goes from the man's home directly to his work.

It should be noted that dis also the hypotenuse of the righ triangle formed. Hence, we can use the Pithagorean theorem to find this distance:

d=\sqrt{(11 mi)^{2} + (9 mi)^{2}}

Then:

d=14.21 mi \approx 14 mi

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Phantasy [73]

Answer:

Step-by-step explanation:

Given that,

μ = 25.1

σ = 0.26

a) since standard deviation is ideal measure of dispersion , a combination of control chart for mean x and standard deviation known as

\bar x  \\\text {and}\\\mu

Chart is more appropriate than \bar x and R - chart for controlling process average and variability

so we use

\bar x  \\\text {and}\\\mucharts

b)

n = 11

we have use 2 σ confidence

so, control unit for \bar x chart are

upper control limit  = \mu +2\times\frac{ \sigma}{\sqrt{n} }

lower control limit = \mu -2\times\frac{ \sigma}{\sqrt{n} }

control limit = μ

μ = 25.1

upper control limit  =

25.1+2\times \frac{0.26}{\sqrt{11} } \\\\=25.2567

lower control limit =

25.1-2\times \frac{0.26}{\sqrt{11} } \\\\=24.9432

Upper control limit and lower control limit are in between the specification limits , that is in between 24.9 and 25.6

so, process is in control

c) if we use 3 sigma limit with n = 11

then

upper control limit  = \mu +3\times\frac{ \sigma}{\sqrt{n} }

25.1+3\times\frac{0.26}{\sqrt{11} } \\\\=25.3351

lower control limit  = \mu -2\times\frac{ \sigma}{\sqrt{n} }

25.1-3\times\frac{0.26}{\sqrt{11} } \\\\=24.8648

control limit is 25.1

Then, process is in control since upper control limit and lower control limit lies between specification limit

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7 0
3 years ago
*
scoray [572]

Answer:

n=\frac{189}{104}

Step-by-step explanation:

7−2(8n−3)=4(n−2)(22)

Step 1: Simplify both sides of the equation.

7−2(8n−3)=4(n−2)(22)

7+(−2)(8n)+(−2)(−3)=88n+−176(Distribute)

7+−16n+6=88n+−176

(−16n)+(7+6)=88n−176(Combine Like Terms)

−16n+13=88n−176

−16n+13=88n−176

Step 2: Subtract 88n from both sides.

−16n+13−88n=88n−176−88n

−104n+13=−176

Step 3: Subtract 13 from both sides.

−104n+13−13=−176−13

−104n=−189

Step 4: Divide both sides by -104.

-\frac{104n}{104} =-\frac{189}{104} \\n=\frac{189}{104}

Answer:

n=\frac{189}{104} \\

Hope this helps

7 0
3 years ago
Negative 1 over 2 x + 3 = −x + 7
Wewaii [24]
According to Another brainly user, this is the answer

(-1)^2.x+3= -x+7


x+3= -x+7


2x=4


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8 0
3 years ago
What is the equation, in slope-intercept form, of the line that passes through (0, −2) and has a slope of −3?
Julli [10]

Answer:

y= -3x-2

Step-by-step explanation:


4 0
2 years ago
Read 2 more answers
A wheelchair ramp is 16 feet Long. The ramp sits up on a 2 foot platform. How far is it from the end of the ramp to the bottom o
il63 [147K]

Answer:

√254 feet

Step-by-step explanation:

This is basically a triangle, with a height of 2, and hypotenuse of 16.

Using the Pythagorean theorem (a^2+b^2=h^2) we can find the other side.  

2^2+b^2=16^2

4+b^2=256

b^2=254

b=√254

3 0
3 years ago
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