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Kazeer [188]
3 years ago
5

10x - 10y = 1 x = y - 3 solve the system of equations by substitution. a. (-29/20, 31/20) b. (1/2, 2/5) c. no solution d. coinci

dent
Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0
First you'd substitute x= y-3 in the first equation.

10(y-3) -10y= 1

10y - 30 -10y= 1

The y's cancel each other out, so you're left with -30= 1. That means there's no solution :)
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Answer:

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Step-by-step explanation:

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The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w
dimulka [17.4K]

Answer:

99% CI:

-4.637\leq\mu_v-\mu_o\leq 3.737

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

s_{Md}=\sqrt{\frac{2MSE}{n_h}}

The MSE can be calculated as

MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65

The weighted sample size nh can be calculated as

n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16

The standard deviation then becomes

s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

\Delta M=M_v-M_o=5.10-5.55=-0.45

Then the confidence interval can be constructed as

\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737

8 0
3 years ago
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Answer:

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d, (x^2)^8 = x^16 = x^2.x^14

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6 0
3 years ago
A child drops a ball from a window that is 24 feet high. The ball strikes the ground in 3.0 seconds. What is the velocity of the
choli [55]

Answer:

The velocity of the ball the instant before it strikes the ground is 30m/s

Given the data in the question

Since the ball was initial at rest before it was dropped by the child

Initial velocity;  

Time taken for the ball to hit the ground;  

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Now, since the ball was thrown from a particular height (window), it is under gravity and acceleration due to gravity;  

Hence, the equation becomes;  

We substitute our values into the equation

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Step-by-step explanation:

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2 years ago
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Nesterboy [21]
Y-6 = 15-6=9
2y+x= 2(15) + 3= 30+3 = 33
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3 years ago
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