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Elan Coil [88]
3 years ago
12

Hi could someone just help me with this I'm not sure if i'm doing it correctly.

Mathematics
1 answer:
salantis [7]3 years ago
4 0
Two angles are supplementary when they <span>add up to 180 degrees </span>⇒
m∠1 + m∠2 = 180°
4y + 7 + 9y + 4 = 180
13y + 11 = 180
13y = 180 - 11
13y = 169
y = 169/13
y = 13

m∠2 = 9y + 4 = 9 * 13 + 4 = 121°
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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
4. REINFORCE A recipe for lemonade call for 3 lemons for every 2 cups of water.
Oksanka [162]

Answer:

PLZ MARK BRAINLIEST!

The answer is below...Can you farther explain on the part "Find at least one ratio where one of the quan

a fraction or decimal."

Step-by-step explanation:

LEMONS .         CUPS

3              :               2 .  3/2

6            :                 4 .  6/4

9              :               6     9/6

12           :                 8 .    12/8

15        :                   10 .    15/10

5 0
3 years ago
What is the slope of a line that is perpendicular to the line y = 1?
Viktor [21]
Y = 1

Using y = mx + c.

Compare to y = 1,    y = 0x + 1 ,

We can see that the slope m = 0 and the vertical intercept, c = 1.

For the line perpendicular to  y = 1

Condition for perpendicularity  m₁m₂ = -1

m₁ = 0,  m₂ = ?

0*m₂ = -1

m₂ = -1/0 = Negative Infinite or Infinite

Slope of line perpendicular to y = 1, is  = Infinite.
7 0
3 years ago
What is the value of st divided by (6r) if r =5 and t =45
SVEN [57.7K]
Write "st div. by 6r" as

  st
-------
   6r
                                                                                   45s        15s        3s
If r =5 and t = 45, but s is unknown, then we get    --------- = --------- = -------
                                                                                    6(r)        2(5)        2
8 0
3 years ago
If you take the trinomial (4x2 + 8x + 4) and divide it by (2x + 2), what will you get?
miskamm [114]

I believe the answer is 8x+2

6 0
2 years ago
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