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dsp73
3 years ago
14

X−3y+4z=−4 2x−9y+11z=−20 x−2y+3z=0

Mathematics
1 answer:
kakasveta [241]3 years ago
5 0

Answer:

Step-by-step explanation:

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Two parallel lines are crossed by a traversal. What is the value of h?
maxonik [38]

Answer:

h=60

Step-by-step explanation:

The angle that is 120 degrees and the angle that is h degrees are called same side interior angles

Same side interior angles are supplementary, meaning that they add to 180 degrees

To find h we can use Measures addition postulate to find the unknown value h

h+120=180

h=60

8 0
3 years ago
The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin
atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = \frac{e^{-mean} mean^{x}}{x!}

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = \frac{e^{-3.8} 3.8^{0}}{0!}

P(X=0) = \frac{0.02237 * 1}{1}

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0
3 years ago
A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in
Andreyy89
So, she has 3hrs to grade all papers, for 35 students.. alrite.

the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6

now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.

now if we take 1/6 as the 100%, what is 1/5 in percentage then?

\bf \begin{array}{ccllll}
rate&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{6}&100\\\\
\frac{1}{5}&x
\end{array}\implies \cfrac{\frac{1}{6}}{\frac{1}{5}}=\cfrac{100}{x}\implies \cfrac{1}{6}\cdot \cfrac{5}{1}=\cfrac{100}{x}\implies \cfrac{5}{6}=\cfrac{100}{x}
\\\\\\
x=\cfrac{6\cdot 100}{5}\implies x=120

so 1/5 is 120% in relation to 1/6... meaning the rate of 1/5 she needs to move through, namely 1 paper every 5 minutes, is 20% faster than 1/6.
8 0
3 years ago
Read 2 more answers
Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form.
snow_tiger [21]

Answer:

Step-by-step explanation:

Using the area model and standard algorithm, we have:

                332   (tenths)

         <u> ×       21  </u>

                332

        <u>      664     </u>

        <u>      6972  </u> tenths = 697.2

<u />

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

33.2 × 21 =<u>    30    </u> × <u>    1     </u>  =  <u>      30     </u>

8 0
2 years ago
Is it possible for an x-intercept and a y-intercept to have no intercept
wel
<span>Not all functions will have intercepts</span>
5 0
3 years ago
Read 2 more answers
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