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2 years ago

Determine the value of x. is it 20?

Mathematics

2 answers:

Luden [163]2 years ago

8 0

Answer:

X = 20

Step-by-step explanation:

The two angles are vertical.

62 = (2 + 3x)

60 = 3x

60/3 =

You were correct

kompoz [17]2 years ago

6 0

X=20

The two angles are vertical
62=(2+3x)
60=3x
60/3=20

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0

3 years ago

Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a

shtirl [24]

Answer:

792

Step-by-step explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

====

(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

==============

5 * 4 * 3 * 2 * 1

792

7 0

3 years ago

How many times will 1/14 go into 6 7/10? a. 6 1/14 b. 6 1/20 c. 93 4/5 d. 93 7/10

guajiro [1.7K]

I believe that it's answer c.

6 0

3 years ago

Read 2 more answers

Gary deposits $1,500 into each of two savings accounts. Account I earns 5% annual simple interest. Account II earns 5% interest

hodyreva [135]

Answer:

$3623.26

Step-by-step explanation:

Given

Each deposit = $1500
Interest rate= 5%
Time = 4 years
Compound number = annual

Simple interest account

B = 1500*(1 + 4*0.05) = 1500*1.2 = $1800

Compound interest account

B = 1500*(1 + 0.05)^4 = $1823.26

Total balance

$1800 + $1823.26 = $3623.26

7 0

3 years ago

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the mi

Hoochie [10]

Answer:

its 323 so you were right :) if 323 is your answer lol

Step-by-step explanation:

abs(T-50)=323 Where T is in degrees Kelvin.

abs () means absolute value.

So T=323 plus or minus 50

8 0

2 years ago