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3 years ago

Solve for x someone help please. If possible please include steps

Mathematics

2 answers:

meriva3 years ago

7 0

Answer:x = 10

Step-by-step explanation:

olga55 [171]3 years ago

4 0

Answer:

Step-by-step explanation:

(x + 2) + (-2 + x) = 20

2x + 0 = 20

2x = 20

x = 20/2

x = 10

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What is the scale factor of dilation? (1 point)

sukhopar [10]

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3 years ago

Determine the solution to the equation.

postnew [5]

Answer : x = 25

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5 x = 25
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3 years ago

At a new exhibit in the museum of science, people are asked to choose between 90 or 120 random draws from a machine. The machine

Serga [27]

Answer:

There is a probability of P₉₀=0.09853 of winning the prize with a 90-balls sample.

There is a probability of P₁₂₀=0.0853 of winning the prize with a 120-balls sample.

Step-by-step explanation:

In this problem, the balls that are removed are then replaced in the total, so the probability of obtaining a green ball is constant and is equal to:

$P_g=\frac{93}{93+65}= 0.5886$

This type of sampling should be analyzed with the binomial distribution, but given the sample size, it is convenient to use the approximation to a normal distribution.

The parameters of the normal distribution are:

$\mu=P_g*n=0.5886*90=52.9746\\\\\sigma=\sqrt{np(1-p)}=\sqrt{90*0.5886*(1-0.5886)} =4.6684$

To win the prize it is needed at least 65% of green balls in the sample, which means there have to be at least 59 green balls in the sample:

$0.65*90=58.5$

To calculate the probability of getting 59 or more green balls, we have to calculate the z-value

$z=\frac{x-\mu}{\sigma}=\frac{59-52.9746}{4.6684}= 1.29$

Then, the probability can be look up with the z-value in a normal distribution table:

$P(X \geq 59)=P(z\geq 1.29)=0.09853$

There is a probability of P=0.09853 of winning the prize with a 90-balls sample.

When the sample is of 120 balls, we have to recalculate the parameters.

Normal distribution

$\mu=P_g*n=0.5886*120=70.6320\\\\\sigma=\sqrt{np(1-p)}=\sqrt{120*0.5886*(1-0.5886)} =5.3905$

To win the prize it is needed at least 65% of green balls in the sample, which means there have to be at least 78 green balls in the sample:

$0.65*120=78$

To calculate the probability of getting 78 or more green balls, we have to calculate the z-value

$z=\frac{x-\mu}{\sigma}=\frac{78-70.6320}{5.3905}=1.37$

Then, the probability can be look up with the z-value in a normal distribution table:

$P(X \geq 78 )=P(z\geq 1.37)=0.0853$

There is a probability of P=0.0853 of winning the prize with a 120-balls sample.

8 0

3 years ago

Marty has 2 4/5 quarts of juice. he pours the same amount of juice into 2 bottles. how much does he pour into each bottle?

Ad libitum [116K]

2.8!!!!!! ;pppppppp-

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3 years ago

The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 3 : 1. The ratio of their lateral surface a

Montano1993 [528]

Answer:

Step-by-step explanation:

Cylinders:

Ratio of radii = 1 : 4

Radius of two cylinders are: r , 4r

Ratio of height = 3 :1

Height of two cylinders are: 3h , h

Lateral surface area of cylinder = 2πrh

Ratio of lateral surface area= 2π* r * 3h : 2π* 4r * h

= 3 : 4

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3 years ago