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4 years ago

Does the point (6,3) satisfy the equation y = 4(x – 5)?

Mathematics

1 answer:

Darina [25.2K]4 years ago

5 0

Answer:

Step-by-step explanation:

plug (6,3) into the given equation to find out

3 = 4(6-5)

3 = 4(1)

3 = 4

since 3 does not equal 4, the point (6,3) does not satisfy the equation y=4(x-5)

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A random sample of 10 shipments of stick-on labels showed the following order sizes. 12,000 18,000 30,000 60,000 14,000 10,500 5

alexandr1967 [171]

Answer:

(a) 95% confidence interval for the true mean order size = [ 11972.22 , 37067.80 ]

Step-by-step explanation:

We are given a random sample of 10 shipments of stick-on labels with following order sizes;

12,000, 18,000, 30,000, 60,000, 14,000, 10,500, 52,000, 14,000, 15,700, 19,000

Firstly, Sample mean, $Xbar$ = $\frac{\sum X}{n}$

= $\frac{12,000+ 18,000+ 30,000 +60,000+ 14,000+ 10,500+ 52,000+ 14,000 +15,700+ 19,000}{10}$ = 24520

Sample standard deviation, s = $\sqrt{\frac{\sum (X-Xbar)^{2} }{n-1} }$ = 17541.81

The pivotal quantity for confidence interval is given by;

P.Q. = $\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

So, the 95% confidence interval for true mean order size is given by;

P(-2.262 < $t_9$ < 2.262) = 0.95

P(-2.262 < $\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }$ < 2.262) = 0.95

P(-2.262 * $\frac{s}{\sqrt{n} }$ < $Xbar - \mu$ < 2.262 * $\frac{s}{\sqrt{n} }$ ) = 0.95

P(Xbar - 2.262 * $\frac{s}{\sqrt{n} }$ < $\mu$ < Xbar + 2.262 * $\frac{s}{\sqrt{n} }$ ) = 0.95

95% confidence interval for $\mu$ = [ Xbar - 2.262 * $\frac{s}{\sqrt{n} }$ , Xbar + 2.262 * $\frac{s}{\sqrt{n} }$ ]

= [ 24520 - 2.262* $\frac{17541.81}{\sqrt{10} }$ , 24520 - 2.262* $\frac{17541.81}{\sqrt{10} }$ ]

= [ 11972.22 , 37067.80 ]

6 0

3 years ago

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the numbe

denis23 [38]

N+d=175, so d=175-n

0.05n+0.1d=13.30 now using d found above in this equation yields:

0.05n+0.1(175-n)=13.30

...

1.5(4-g)+1g=5.5

6-1.5g+g=5.5

6-0.5g=5.5

-0.5g=-0.5

g=1

5.5/4=1.375

So your grid should be:

3oz 1.50 4.50

1oz 1.00 1.00

4oz 1.375 5.50

8 0

3 years ago

Read 2 more answers

Someone help me with this question

sladkih [1.3K]

Link to the answer is here.
explanation;

8 0

3 years ago

Answer question on screenshot

mojhsa [17]

Answer:

the answer is A