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iris [78.8K]
3 years ago
6

Find the solutions for x when y is equal to 0. y = x2 - 3x -18

Mathematics
1 answer:
denis23 [38]3 years ago
3 0
Y = x² - 3x - 18

When y = 0,

x² - 3x - 18 = 0

<span>(x + 3)(x - 6) = 0
</span>
x = -3 or x = 6
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I need help with Geometry
Neko [114]

Answer:

Yes, this set of lengths can form a triangle.

Step-by-step explanation:

55+76 = 131

131 > 112

Since the sum of smaller lengths is greater than 112, these numbers can form a triangle.

3 0
3 years ago
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a r
alexira [117]

Answer: The probability is P = 0.056

Step-by-step explanation:

The invited ones are:

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, Cam, and Georgia

So we have a total of 10 persons.

The case where Xerxes arrives first and Regina arrives last is:

We have 10 slots, each slot corresponds to who arrived in which time.

For the first slot we have only one option, this is Xeres.

For the next slot we have 8 options (because Xeres already arrived, and Regina must arrive at last)

For the next slot we have 7 options.

for the next one we have 6 options, and so on.

So the combinations are:

C = 1*8*7*6*5*4*3*2*1*1 = 40320

Now, the total number of combinations is:

for the first slot we have 10 options, for the second we have 9 options and so on.

c = 10*9*8*7*6*5*4*3*2*1 = 725760

The probability is the combinations where Xerxes arrives first and Regina rrives last divided the total number of probabilities.

P = C/c = 0.056

7 0
3 years ago
Graph the linear inequality: 2x + 3y = 12, by creating a t-chart to plot the points. Shade by
Crazy boy [7]

Answer:

See explanation

Step-by-step explanation:

Assuming the given inequality is 2x+3y\le12

Then the corresponding linear equation is 2x+3y=12

When x=0, we have  2*0+3y=12

\implies 3y=12\implies y=4

When y=0, we have  2x+3*0=12

\implies 2x=12\implies x=6

The T-table is:

<u>x   |   y</u>

0   |   4

6   |   12

We plot this points and draw a solid straight line as shown in the attachment.

Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

2*0+3*0\le12

0\le12....This is true so we shade the lower half plane as shown in the attachment.

6 0
3 years ago
Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to o
vladimir2022 [97]

Answer:

x = 63.6

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.

In this problem, we have that:

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2.3267 = \frac{X - 38}{11}

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X = 63.6

So x = 63.6

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3 years ago
Find the proportion of observations from a standard Normal distribution that falls in each of the following regions. -2.31 &lt;
Igoryamba
\mathbb P(-2.31
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3 years ago
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