All categories

3 years ago

Find the mean of the data set 9,4,7,3,10,9

Mathematics

1 answer:

RideAnS [48]3 years ago

5 0

9+4+7+3+10+9=42 42÷6= 34.5. I believe "mean" is the same as avgerage.

You might be interested in

A shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02,

worty [1.4K]

Answer:

$0.950796$

Step-by-step explanation:

Given that a shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02, respectively.

Required probability = the probability for the shuttle to be launched on time

= Probability that all three do not fail

Since each key device is independent of the other

we have

prob that all three do not fail = $(1-0.01)(1-0.02)(1-0.02)\\=0.99*0.98*0.98\\=0.950796$

6 0

2 years ago

16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º

serg [7]

Answer:

x = 26

y = 9

Step-by-step explanation:

(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)

Solve for x

5x - 17 + 3x - 11 = 180

Collect like terms

5x + 3x - 17 - 11 = 180

8x - 28 = 180

Add 28 to both sides

8x = 180 + 28

8x = 208

Divide both sides by 8

x = 208/8

x = 26

Also:

(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)

Plug in the value of x and solve for y

2y + 5 + 90 + 3(26) - 11 = 180

2y + 5 + 90 + 78 - 11 = 180

Collect like terms

2y + 162 = 180

Subtract 162 from both sides

2y = 180 - 162

2y = 18

y = 9 (dividing both sides by 2)

6 0

3 years ago

5cosx -2sin(x/2) +7=0 Help me to find x step by step pls

miskamm [114]

Answer:

x = 180

Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = $cos^{2}x - sin^{2}x$

2. Pythagorean identity:

$cos^{2}x + sin^{2}x = 1$

Back to your problem, replacing the variable by the above:

$5cosx-sin\frac{x}{2}+7 = 0$

$5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Double-angle formula

$5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Pythagorean identity

Given $y = \frac{x}{2}$

$5(1-2sin^{2}y) - 2siny + 7 = 0$

$10sin^{2}y+2siny-12=0$

$5sin^{2}y+siny-6=0$

$(5siny + 6)(siny - 1)=0$ , we know -1 < sinx < 1, for every x ∈ R

$siny = 1, y =90$

$y = \frac{x}{2}$

$x = 180$

8 0

2 years ago

HELP ME ASAP!!!!!!!

olga nikolaevna [1]

Answer:

3hours and 30 minutes moving and 2 and a half hours stationary

Step-by-step explanation:

1 hour + 30 minutes + 1 hour + 30 minutes + 30 minutes for moving

1 hour + 1 hour + 30 minutes for stationary.

3 0

2 years ago

10% of what number is 78?

Zepler [3.9K]

Answer: x = 780

Step-by-step explanation: Well percent means over 100 so we can set up an equation for this problem by reading it from left to right.

So we know that 10% means 10/100, of means times, what number means x, is means equals, and 12 means 12.

Notice that 10/100 can be reduced to 1/10.

So rewriting our problem we have X/10 = 78.

To get rid of the fraction, we multiply both sides of the equation by 10 and we have x = 780. So, 10% of 780 is 78.

Now let's check our answer back in the original problem to see if it makes sense.

We have 10% of 780 is 78. Well we know that 100% of of 780 would be 780 so 10% of 780 should be alot less than 780 so 78 seems to make sense.

Image provided showing my work.

5 0

2 years ago

Read 2 more answers