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Bess [88]
3 years ago
15

2) You work in the tech field. Your boss has asked that you and your team design a new style phone with a 7" screen display. Wha

t are the dimensions of the phone if the aspect ratio is 16:9?
Mathematics
1 answer:
Montano1993 [528]3 years ago
3 0

Answer:

dimensions of the phone are 7 inches x 12.44 inches

Step-by-step explanation:

The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.

That is;

Aspect ratio = height/width

Now, we are given;

Aspect ratio = 16:9 or 16/9

Width = 7" = 177.8 mm

Thus;

16/9 = height/177.8

Multiply both sides by 177.8 to give;

Height = (16 × 177.8)/9

Height = 316.089 mm

Converting 316.089 mm to inches gives us 12.44 inches.

Thus, dimensions of the phone are 7 inches x 12.44 inches

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Your boss tells you that she knows the length of the widgets your company makes is normally distributed with a mean of 25 inches
sp2606 [1]

Answer:

Mean of sampling distribution = 25 inches

Standard deviation of sampling distribution = 4 inches

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 25 inches

Standard Deviation, σ = 12 inches

Sample size, n = 9

We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.

a) Mean of the sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

\bar{x} = \mu = 25\text{ inches}

b) Standard deviation of the sampling distribution

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{12}{\sqrt{9}} = 4\text{ inches}

8 0
3 years ago
One angel of an isosceles triangle is 120 degrees. What is the measure of the other two angles
myrzilka [38]

Answer:

30 degrees

Step-by-step explanation:

180 - 120 = 60

60 / 2 = 30

Hope that helps!

5 0
3 years ago
Read 2 more answers
What is the answer for 52 divided by 8 with remainder
Sveta_85 [38]
The answer is 6 with a remainder of 4
4 0
3 years ago
Need help simplifying this
diamong [38]

The simplified answer is \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}.

<u>Step-by-step explanation:</u>

$\frac{3 y+2 x}{z+2 x}-\frac{2 y-3 x}{3 x+y}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}

To add or subtract denominators of the fraction must be same.

If it is not the same, we must take LCM of the denominators. and so we can add the fractions.

To make the denominator same multiply the 1st term (\frac{3x+y}{3x+y}) and 2nd term by (\frac{z+2x}{z+2x})

= \frac{(3 y+2 x)(3 x+y)}{(z+2 x)(3 x+y)}-\frac{(2 y-3 x)(z+2 x)}{(3 x+y)(z+2 x)}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}

LCM of the denominators is 6x²+ 3xz + 2xy +yz.

Multiply the factors in the numerator.

= \frac{\left(6 x^{2}+3 y^{2}+11 x y\right)}{(z+2 x)(3 x+y)}-\frac{\left(2 y z+4 x y-3 x z-6 x^{2}\right)}{(3 x+y)(z+2 x)}-\frac{2 z y+6 x z}{6 x^{2}+3 x z+2 x y+y z}

Now, the denominators are same, you can subtract it.

= \frac{\left(6 x^{2}+6 x^{2}+11 x y-4 x y-2 y z-2 y z+3 x z-6 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

= \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

Thus the simplified solution is  \frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}

4 0
3 years ago
What is 3 1/8 - 2 1/8 =
Kay [80]

Answer:

1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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