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snow_lady [41]
3 years ago
12

What multiples to 42 and adds to -2

Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

Step-by-step explanation:

xy = 42

x+y = - 2                   Substitute into the top equation

y = -2 - x                   Put in for y

x(-2 - x) = 42             Remove the brackets

-2x - x^2 = 42           Subtract 42 from both sides.

-2x - x^2 - 42 = 0      Put in the more normal order.

-x^2 - 2x - 42 = 0      Multiply by -1

x^2 + 2x + 42 = 0

This cannot be factored. It gives complex roots as it is written. I will give you the answer but I kind of doubt the question is correct.

x1 = - 1 + 6.40i

x2 = -1 - 6.40i

Leave a comment if you have a correction.

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Thickness measurement ancient prehistoric Native American Pot Shards discovered in Hopi Village are approximately normally distr
beks73 [17]

Answer:

a) P(X

And we can find this probability using the normal standard table and we got:

P(z

b) P(X>7)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z>\frac{7-5.1}{0.9})=P(z>2.11)

And we can find this probability using the complement rule and the  normal standard table and we got:

P(z>2.11)=1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(5.1,0.9)  

Where \mu=5.1 and \sigma=0.9

Part a

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table and we got:

P(z

Part b

We are interested on this probability

P(X>7)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>7)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z>\frac{7-5.1}{0.9})=P(z>2.11)

And we can find this probability using the complement rule and the  normal standard table and we got:

P(z>2.11)=1-P(Z

4 0
3 years ago
Find an exponential function with a horizontal asymptote y equals=2 whose graph contains the points ​(0,3​) and ​(1,6​).
Andrew [12]
\bf y=a(b)^x\qquad \qquad (\stackrel{x}{0}~,~\stackrel{y}{3})\implies 3=a(b)^0\implies 3=a
\\\\\\
therefore\qquad y=3(b)^x\\\\
-------------------------------\\\\
(\stackrel{x}{1}~,~\stackrel{y}{6})\implies 6=3(b)^1\implies \cfrac{6}{3}=b^1\implies 2=b
\\\\\\
therefore\qquad y=3(2)^x

now, exponential functions have a horizontal asymptote at the x-axis, namely when y = 0, however, if you just move this one with a vertical translation of 2, then the horizontal asymptote will be at 2 instead.    y = 3(2)ˣ + 2
6 0
3 years ago
Given the diameter of a circle is 17 1/2cm, find its area (use π = 22/7)​
vladimir2022 [97]

Answer:

240.625 is full value. you can use sigfigs if you need.

Area is (pi)(r)^2 so (22/7)(8.75)^2

half diameter is radius

6 0
2 years ago
mike observed that 75% of the students of a school liked skating. if 35 students of the school didn't like skating, the number o
bezimeni [28]
Cross multiply.

75 / x = 25 / 35
   25x = 35(75)
   25x = 2625
   /25     /25
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Therefore 105 students liked skating.

Proof:

105 + 35 = 140.
140 * 0.75 = 105
140 * 0.25 = 35

140 (total) split into quarters.

35 + 35 + 35 + 35 = 140
35 + 35 + 35 = 105 (3 quarters liked)
35 = 35 (1 quarter disliked)
3 0
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Airida [17]

Answer: a

Step-by-step explanation:

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8 0
2 years ago
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