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Maslowich
3 years ago
7

6w-y=2z, Solve for the value of w

Mathematics
2 answers:
Lerok [7]3 years ago
7 0
6w-y=2z 6w=2z+y w=(2z+y):6 w=(z:3)+(y:6)
Rus_ich [418]3 years ago
3 0
To solve this 6w-y=2z equation for the value of w 
we will keep w on the left side and will take remaining on the right side6w=2z+yw=(z/2)+(y/6)  
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Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10
Novosadov [1.4K]

Answer:

josiahs distance from the starting line at a time when shes behind josiah

Step-by-step explanation: got it right in khan

6 0
2 years ago
SAT scores are normed so that, in any year, the mean of the verbal or math test should be 500 and the standard deviation 100. as
vovangra [49]

Answer:

a) P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)

P(Z>1.25)=1-P(Z

b) P(400

P(-1

P(-1

c) z=-0.842

And if we solve for a we got

a=500 -0.842*100=415.8

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:

X \sim N(500,100)  

Where \mu=500 and \sigma=100

We are interested on this probability

P(X>625)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>625)=P(\frac{X-\mu}{\sigma}>\frac{625-\mu}{\sigma})=P(Z>\frac{625-500}{100})=P(Z>1.25)

And we can find this probability using the complement rule and with the normal standard table or excel:

P(Z>1.25)=1-P(Z

Part b

We are interested on this probability

P(400

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(400

And we can find this probability with this difference:

P(-1

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1

Part c

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.8   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.2 of the area on the left and 0.8 of the area on the right it's z=-0.842. On this case P(Z<-0.842)=0.2 and P(Z>-0.842)=0.8

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.842

And if we solve for a we got

a=500 -0.842*100=415.8

So the value of height that separates the bottom 20% of data from the top 80% is 415.8.  

8 0
3 years ago
A car travels 100 meter in 5 seconds . What is the speed of the car
kotykmax [81]
V=l/t
v=100m/5s
v=20m/s
7 0
3 years ago
The area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 mile. What is th width, in miles, of th
wolverine [178]

Answer:

0.833 miles

Step-by-step explanation:

Because you know the area, you can use the formula for area of a rectangle. Just plug in what you know and solve.

\frac{25}{54} = \frac{30}{54}w

30/54 is the same as 5/9.

(\frac{25}{54})54 = (\frac{30}{54}w)54

Multiply by its denominator.

25=30w

Simplify

25/30=30w/30

Divide by 30

w=\frac{5}{6}

5/6 is roughly 0.833

7 0
3 years ago
Can someone help with 8&amp;10
stiv31 [10]

8. Answer:  (C) 101.3

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

Use the Law of Cosines:

c² = a² + b² - 2ab·cos C

28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C

795.24 = 285.61 + 380.25 - 659.1 cos C

795.24 = 665.76 - 659.1 cos C

129.38 = - 659.1 cos C

-0.196 = cos C

cos⁻¹ (-0.196) = cos⁻¹ (cos C)

101.3 = C

**********************************************************

10. Answer:  (A) 27.9

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

Use the Law of Cosines:

c² = a² + b² - 2ab·cos C

c² = 25² + 18² - 2(25)(18)·cos 79

c² = 625 + 324 - 900 cos 79

c² = 949 - 171.7

c² = 777.3

√c² = √777.3

c = 27.9

3 0
3 years ago
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