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3 years ago

5x - 6y = 0 y = x solve the system by substitution. a. no solution b. coincident c. (0, 0)

Mathematics

1 answer:

tatiyna3 years ago

8 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}5x-6y=0&(1)\\y=x&(2)\end{array}\right\\\\\text{Put (2) to (1):}\\\\5x-6x=0\\-x=0\to x=0\\\\\text{Put it to (2):}\\\\y=0$

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Which rates are unit rates?

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Unit rate is a rate that has a denominator of 1. In order to get the unit rate given the denominator is not 1, then unit rate is acquired by getting the equal ration with denominator 1. On the question, Letter A. 4 yd/carry, Letter B. 35 mi/1gal and Letter D. 3 cups per batch are unit rates.

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3 years ago

One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples

JulijaS [17]

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± $t_{n_1+n_2-2;1-\alpha /2}$ * $Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }$ ]

$Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11$

$t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708$

[(82.3-81.2) ± 1.708* (6.11* $\sqrt{\frac{1}{15}+\frac{1}{12} }$ ]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

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3 years ago

Write the equation in slope intercept form with a slope of 3/4 and passes through (-4,-5)

attashe74 [19]

Answer:Use the slope −2 and the point (−4,−5) to find the y-intercept.

y=mx+b

⇒−5=(−2×−4)+b

⇒−5=8+b

⇒b=−13

Write the equation in slope intercept form as:

y=mx+b

⇒y=(−2)x−13

Hence, the equation of the line is y=−2x−13.

Step-by-step explanation:

Please make me brainliest :)

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3 years ago

a cone has a radius of 1.2 inches and a height of 2.9 inches. What is the volume, to the nearest tenth of cubic inch, of the con

natita [175]

12.9986 would be the answer from a calculator but I'd say it's 12.9. Hope this helped!

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2 years ago

Evaluate 5c+cd when c=1/5 and d=15

Ad libitum [116K]

5c = 1
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3 years ago

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