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kompoz [17]
3 years ago
9

I need the answer fast please !

Mathematics
1 answer:
Ahat [919]3 years ago
6 0

Answer:

30

Step-by-step explanation:

Angles on a straight line are equal to 180°

180°-120°= 60°

Sum of Co interior angles are equal to 180°

180°-60° =120°

90°+60°+ x = 180°

((180° - 90° - 60°= 30°))

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If the height is 24, solve for x. h=-16x^2+8x+48
disa [49]

Answer:

x=  

32

7+  

3121

​  

 

​  

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3121

​  

 

​  

 

Step-by-step explanation:

h+16^2-8x-48=0

-7x+16x^2-48=0

x=  

32

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​  

 

​  

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8 0
3 years ago
A cola-dispensing machine is set to dispense 8 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manufacturer
pshichka [43]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is X: ounces per cup dispensed by the cola-dispensing machine.

The population mean is known to be μ= 8 ounces and its standard deviation σ= 1.0 ounce. Assuming the variable has a normal distribution.

A sample of 34 cups was taken:

a. You need to calculate the Z-values corresponding to the top 5% of the distribution and the lower 5% of it. This means you have to look for both Z-values that separates two tails of 5% each from the body of the distribution:

The lower value will be:

Z_{o.o5}= -1.648

You reverse the standardization using the formula Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~N(0;1)

-1.648= \frac{X[bar]-8}{\frac{1}{\sqrt{34} } }

X[bar]= 7.72ounces

The lower control point will be 7.72 ounces.

The upper value will be:

Z_{0.95}= 1.648

1.648= \frac{X[bar]-8}{\frac{1}{\sqrt{34} } }

X[bar]= 8.28ounces

The upper control point will be 8.82 ounces.

b. Now μ= 7.6, considering the control limits of a.

P(7.72≤X[bar]≤8.28)= P(X[bar]≤8.28)- P(X[bar]≤7.72)

P(Z≤(8.28-7.6)/(1/√34))- P(Z≤7.72-7.6)/(1/√34))

P(Z≤7.11)- P(Z≤0.70)= 1 - 0.758= 0.242

There is a 0.242 probability of the sample means being between the control limits, this means that they will be outside the limits with a probability of 1 - 0.242= 0.758, meaning that the probability of the change of population mean being detected is 0.758.

b. For this item μ= 8.7, the control limits do not change:

P(7.72≤X[bar]≤8.28)= P(X[bar]≤8.28)- P(X[bar]≤7.72)

P(Z≤(8.28-8.7)/(1/√34))- P(Z≤7.72-8.7)/(1/√34))

P(Z≤-2.45)- P(Z≤-5.71)=0.007 - 0= 0.007

There is a 0.007 probability of not detecting the mean change, which means that you can detect it with a probability of 0.993.

I hope it helps!

5 0
3 years ago
Read 2 more answers
What is (x+2)(x+5) in polynomial standard form
Harlamova29_29 [7]

Answer:

=x^2+7x+10

Step-by-step explanation:

Simplify: xx+5x+2x+2.5: x+7x+10

Add similar elements: 5x+2x= 7x

=xx+7x+2.5

xx=x2

2.5=10

=x+7x+10

Answer: =x^2+7x+10

<em><u>Hope this helps.</u></em>

3 0
3 years ago
Need help with math problems A-C. Please?
dolphi86 [110]
A-10......C-he didn't notice that a domino has number that will equal 49 in multiplication but will not add up to be if its less than 4 dominos
3 0
3 years ago
What is (64x^2y^3)-1/2 as radical expression?
oksano4ka [1.4K]

Answer:

\frac{1}{8xy \sqrt{y} }

Step-by-step explanation:

(64 {x}^{2}  {y}^{3} )^{  - \frac{ 1 }{2} }  \\  \\  =  \frac{1}{(64 {x}^{2}  {y}^{3} )^{\frac{ 1 }{2} } }  \\  \\  =  \frac{1}{ \sqrt{64 {x}^{2}  {y}^{3}} }  \\  \\  =  \frac{1}{ \sqrt{ {(8xy)}^{2} y} }  \\  \\  =  \frac{1}{8xy \sqrt{y} }

3 0
3 years ago
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