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Alisiya [41]
3 years ago
10

BearCo produces alutin (and alloy of aluminium and tin) bearings for truck engines. Prior to shaping, ingots

Mathematics
1 answer:
liberstina [14]3 years ago
4 0
Let x be a random variable representing the mean thickness of alutin.

a.) P(2.97 < x < 3.08) = P((2.97 - 3.05)/0.025 < z < (3.08 - 3.05)/0.025) = P(-3.2 < z < 1.2) = P(z < 1.2) - P(z < -3.2) = P(z < 1.2) - [1 - P(z < 3.2)] = P(z < 1.2) + P(z < 3.2) - 1 = 0.88493 + 0.99931 - 1 = 0.88424
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67a(t+z)=45z+67 solve for (z)
lora16 [44]

Answer: z = \frac{67(1 - at)}{67a - 45}

<u>Step-by-step explanation:</u>

67a(t + z) = 45z + 67

67at + 67az = 45z + 67

<u>-67at   -45z   </u> <u>-45z   -67at </u>

 67az - 45z  =  67 - 67at

 z(67a - 45)  =  67 - 67at

<u>÷ (67a - 45) </u>  <u>÷ (67a - 45) </u>

                 z  =  \frac{67 - 67at}{67a - 45}

                     =  \frac{67(1 - at)}{67a - 45}

3 0
3 years ago
2. What is the equation in slope-intercept form of the line that passes through thepoints (-4, 47) and (2, -16)?O21 979y=-2*+ 21
trapecia [35]

hello

the points given are (-4, 47) and (2, -16)

let's find the intercept of this equation

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ x_2=2 \\ y_2=-16 \\ y_1=47 \\ x_1=-4 \end{gathered}\begin{gathered} m=\frac{-16-47}{2-(-4)} \\ m=-\frac{21}{2} \\ slope=-\frac{21}{2} \end{gathered}

now, since we know the value of the slope, we can use that in the standard equation on a straight line

the standard equation of a straight line is given as

\begin{gathered} y=mx+c \\ m=\text{slope} \\ c=\text{intercept} \end{gathered}

we can pick any of the points and solve for intercept

let's use (2, -16)

\begin{gathered} x=2 \\ y=-16 \\ y=mx+c \\ m=-\frac{21}{2} \\ -16=-\frac{21}{2}(2)+c \\ -16=-21+c \\ \text{collect like terms} \\ c=-16+21 \\ c=5 \end{gathered}

now we know the value of intercept (c) = 5 and the slope (m) = 21/2

let's use this to write equation of the straight line

\begin{gathered} y=mx+c \\ y=-\frac{21}{2}x+5 \end{gathered}

from the calculations above, the equation of the straight line is given as y = -21/2x + 5

8 0
1 year ago
CONDITIONAL: If 2x + 1 = 25, then x = 12. INVERSE: if 2x + 1 /=25, then x /= 12 is the inverse of the conditional false or true?
exis [7]
True because if you do 2 x 12 that will equal 24. Then it says +1 so it will be 25. So, it's true.
4 0
3 years ago
I have the answer I just have this one question. Will all the paint fit into the bucket?
klasskru [66]

Answer:

brandon

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of  pints of yellow color become  pint, in which the ampunt of yellow color is  pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.

8 0
2 years ago
In the slope-intercept equation for a line, the co-efficient of the x-term gives the _______
nignag [31]

Answer:

slope

Step-by-step explanation:

7 0
3 years ago
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