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scoray [572]
4 years ago
13

Harder than death itself I swear

Mathematics
1 answer:
tester [92]4 years ago
6 0

ok so first when u look at this kinda question, you see that it's a 30-60-90 triangle. that means it follows that angle rule.

so you can search up the rule for reference, but it's basically

30º -> x

60º -> x√3

90º -> 2x

alright and now you know that the leg opposite from the 30º is 7. That means that the leg opposite from the 60º will be (x)√3

now use substitution for x=7, and you'll get that

b = 7√3

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviat
Harlamova29_29 [7]

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.    

Let us find the sample score that corresponds to z-score of bottom 4%.  

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

z=\frac{x-\mu}{\sigma}

-1.75=\frac{x-5.71}{0.08}

-1.75*0.08=x-5.71

-0.14=x-5.71

-0.14+5.71=x-5.71+5.71

5.57=x

Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

Now let us find sample score corresponding to z-score of 1.75 as upper limit.

1.75=\frac{x-5.71}{0.08}

1.75*0.08=x-5.71

0.14=x-5.71

0.14+5.71=x-5.71+5.71

5.85=x  

Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.

7 0
3 years ago
Help needed for this math question.
nekit [7.7K]
Is this algebra or geometry??
4 0
3 years ago
An object is thrown upward from the top of a 192 ft building with an initial velocity of 64 feet
Airida [17]

Answer:

t=6

Step-by-step explanation:

ground height = 0

(are you sure your formula is correct? isn't it - 16t²?)

if h=16t² +64t+192 is true then

16t² +64t+192 = 0

t² + 4t + 12 = 0

t = (-4 ± √(4² - 4*12)) / 2*1 = (-4 ± √-32) / 2 = -2 ± 2√-2

There is no solution of t

if it is h= - 16t² +64t+192

0 =- 16t² + 64t + 192

t² - 4t - 12 = 0

(t + 2) (t -6) = 0

t should be positive

t = 6 sec

7 0
3 years ago
Which equation represents a nonproptional relationship
Luba_88 [7]
I need to see a picture
7 0
3 years ago
There are 4 red marbles and 8 blue marbles in a bag. Jamie will randomly pick one marble and flip a coin. what is the probabilit
Yuri [45]

Answer:

d

Step-by-step explanation:


3 0
3 years ago
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