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aev [14]
3 years ago
14

PLEASE HELP I NEEED ANSWER.. ASAP

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
3 0

Answer:

Step-by-step explanation:

Triangle IGH is a right angle triangle.

From the given right angle triangle

GI represents the hypotenuse of the right angle triangle.

With m∠I as the reference angle,

HI represents the adjacent side of the right angle triangle.

GH represents the opposite side of the right angle triangle.

To determine Hl, we would apply the tangent trigonometric ratio

Tan θ = opposite side/adjacent side. Therefore,

Tan 42 = 11/HI

0.9HI = 11

HI = 11/0.9

HI = 12.22

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The diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 mi
Assoli18 [71]

Answer:

Probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

Step-by-step explanation:

We are given that the diameters of ball bearings are distributed normally. The mean diameter is 106 millimeters and the standard deviation is 4 millimeters.

<em>Firstly, Let X = diameters of ball bearings</em>

The z score probability distribution for is given by;

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

where, \mu = mean diameter = 106 millimeters

            \sigma = standard deviation = 4 millimeter

Probability that the diameter of a selected bearing is greater than 111 millimeters is given by = P(X > 111 millimeters)

    P(X > 111) = P( \frac{ X - \mu}{\sigma} > \frac{111-106}{4} ) = P(Z > 1.25) = 1 - P(Z \leq 1.25)

                                                  = 1 - 0.89435 = 0.1056

Therefore, probability that the diameter of a selected bearing is greater than 111 millimeters is 0.1056.

4 0
2 years ago
Solve for z.<br> -4z+1 = bz+c
blagie [28]

Answer:

\large\boxed{z=\dfrac{1-c}{4+b}}

Step-by-step explanation:

-4z+1=bz+c\qquad\text{subtract 1 from both sides}\\\\-4z=bz+c-1\qquad\text{subtract}\ bz\ \text{from both sides}\\\\-4z-bz=c-1\qquad\text{change the signs}\\\\4z+bz=1-c\qquad\text{distribute}\\\\(4+b)z=1-c\qquad\text{divide both sides by}\ (4+b)\neq0\\\\z=\dfrac{1-c}{4+b}

3 0
3 years ago
2x – бу = 12<br> -5x - 15 = -30
erastova [34]

Answer:

x=7 and y= 1/3

Step-by-step explanation:

we have -5x - 15 = -30 <=> x + 3 = 10

                                            x= 7

if x=7

so 2×7 - 6y = 12 <=> 14 - 12 = 6×y

                                 2 = 6y

                                 y= 2/6 = 1/3

3 0
2 years ago
Between which 2 whole numbers is the square root of 50?
jasenka [17]

Answer: It would be between 7 and 8

8 0
3 years ago
For which sample size (n) and sample proportion (p) can a normal curve be
Nonamiya [84]

Answer:

Option c.

Step-by-step explanation:

Using the normal curve to approximate a sampling distribution:

For a sample size n and a proportion n, the normal curve can be used if:

np \geq 10 and n(1-p) \geq 10

Option a:

np = 35*0.8 = 28 > 10

n(1-p) = 35*0.2 = 7 < 10

So option a cannot be used.

Option b:

np = 65*0.9 = 58.5 > 10

n(1-p) = 65*0.1 = 6.5 < 10

So option b cannot be used.

Option c:

np = 65*0.8 = 52 > 10

n(1-p) = 65*0.2 = 13 > 10

So option c can be used, and is the answer

Option d:

np = 35*0.9 = 31.5 > 10

n(1-p) = 35*0.1 = 3.5 < 10

So option d cannot be used.

The answer is given by option c.

7 0
3 years ago
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