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3 years ago

Line l with a slope of 1/2 passes through (0,1/4) and (2,y), what is the value of Y

Mathematics

1 answer:

Verizon [17]3 years ago

6 0

Answer:

<h2>The value of $y = \frac{5}{4}$ </h2>

Step-by-step explanation:

given slope= $\frac{1}{2}$

the the points $(0, \frac{1}{4} )$ and (2, y) $(0, \frac{1}{4} )$

now, the slope of $(0, \frac{1}{4} )$ and (2, y) are equal to $\frac{1}{2}$

$\frac{1}{2} = \frac{\frac{1}{4}-y }{-2}$ cross multiplication, we get

<h2> $y = \frac{5}{4}$ </h2><h2>therefore the value of $y = \frac{5}{4}$ </h2>

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The Baltimore Zoo feeds their elephants a combination of fruit and grass. The zookeeper would like to create a model to represen

Anika [276]

A function can be represented on a table and on a graph.

The models of the linear relationship between f(x) and x are:

$\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}$

The given parameters are:

$\mathbf{Start = 22}$

$\mathbf{Additional = 30}$

So, the function that models the linear relationship is:

$\mathbf{f(x) = Start + Additional \times x}$

Substitute known values

$\mathbf{f(x) = 22 + 30 \times x}$

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$\mathbf{f(x) = 22 + 30x}$

Rewrite as:

$\mathbf{f(x) = 30x + 22}$

By comparing the above function to the list of options, we have the true options to be:

$\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}$

Read more about linear functions at:

brainly.com/question/20286983

4 0

3 years ago

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natali 33 [55]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

In great detail, with full work done out, please find x<br> 1 + x = 2

kenny6666 [7]

Answer:

x = 1

Step-by-step explanation:

1 + x = 2

Subtract 1 form both sides,

1 + x - 1 = 2 - 1

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4 0

3 years ago

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an lg sm

GuDViN [60]

Answer: 0.951%

Explanation:

Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.

Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by

$P(x = k) = \frac{n!}{k!(n-k)!}p^k (1-p)^{n-k}$

Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones).

Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by

$P(x \ \textless \ 3) = P(x = 0) + P(x = 1) + P(x = 2)
\\ \indent = \frac{12!}{0!(12-0)!}(0.54)^0 (1-0.54)^{12-0} + \frac{12!}{1!(12-1)!}(0.54)^1 (1-0.54)^{12-1} + \\ \indent \frac{12!}{2!(12-2)!}(0.54)^2 (1-0.54)^{12-2}
\\
\\ \indent = \frac{12!}{(1)(12!)}(0.46)^{12} + \frac{12(11!)}{(1)(11!)}(0.54)(0.46)^{11}+ \frac{12(11)(10!)}{(2)(10!)}(0.54)^2(0.46)^{10}
\\
\\ \indent = (1)(0.46)^{12} + (12)(0.54)(0.46)^{11}+ (66)(0.54)^2(0.46)^{10}
\\ \indent \boxed{P(x \ \textless \ 3) \approx 0.00951836732 }
$

Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or 0.951%.

5 0

4 years ago

2. Name the segment parallel to the given segment.

TiliK225 [7]

Answer:

a) XT

c)ZS

I don't know of the b one

8 0

2 years ago