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Digiron [165]
4 years ago
5

Solve 2x+10y=-20 and -x+4y=28 by elimination

Mathematics
1 answer:
mrs_skeptik [129]4 years ago
5 0
Multiply -x+4y=28 by 2
-2x+8y=56
add to first equation
2x+10y=-20
<u>-2x+8y=56  +
</u>0x+18y=36

18y=36
divid 18
y=2
subsitute
-x+4y=28
-x+4(2)=28
-x+8=28
subtract 8
-x=20
multipy -1
x=-20



x=-20
y=2

(x,y)
(-20,2)

<u />
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On average, Nancy has noticed that 20 trucks pass by her apartment daily (24 hours). In order to find the probability that more
STatiana [176]

Answer:

P(2)=0.256

Step-by-step explanation:

We know that  Nancy has noticed that 20 trucks pass by her apartment daily (24 hours).  We conclude that for 1 hours,  pass 20/24=5/6  trucks.

We calculate how many trucks pass for 3 hours:

3 · 5/6= 15/6=2.5=λ

We use a Poisson distribution:

P(k)=\frac{λ^k · e^{-λ}}{k!}

For  2 trucks we have that is k=2. We know that is λ=2.5

We caclulate the probability

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6 0
4 years ago
What is the exact solution to the system of equations shown on the graph?​
anygoal [31]

Answer:

x = 1.2

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(1.2, 4.6)

5 0
3 years ago
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A broth used to manufacture a pharmaceutical product has its sugar content, in mg/mL, measured several times on each of three su
snow_tiger [21]

Answer:

Yes

Step-by-step explanation:

To compare the variability of the measured sugar content for each day, we can estimate the standard deviation using the Range rule.

Standard Deviation =\dfrac{\text{Maximum Value-Minimum Value}}{4}

Day 1

5.0, 4.8, 5.1, 5.1, 4.8, 5.1, 4.8, 4.8, 5.0, 5.2, 4.9, 4.9, 5.0

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Standard Deviation =\dfrac{5.2-4.8}{4}

=0.1

Day 2

5.8, 4.7, 4.7, 4.9, 5.1, 4.9, 5.4, 5.3, 5.3, 4.8, 5.7, 5.1, 5.7

  • Maximum Value=5.8
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Standard Deviation =\dfrac{5.8-4.7}{4}

=0.275

Day 3

6.3, 4.7, 5.1, 5.9, 5.1, 5.9, 4.7, 6.0, 5.3, 4.9, 5.7, 5.3, 5.6

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Standard Deviation =\dfrac{6.3-4.7}{4}

=0.4

Since the estimated standard deviation of the third day is higher than that of the second day, the variability of the process is greater on the third day than on the second day.

4 0
3 years ago
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disa [49]

Answer:

50%

Step-by-step explanation:

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3 0
4 years ago
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