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2 years ago

(Look at the graphs for questions 1 and 2.)

Mathematics

1 answer:

MaRussiya [10]2 years ago

6 0

Solving Q1 : What is y when x = 50? (the solution graph is attached below)

We can make a rectangle (in red color on solution graph) to find the value of y corresponding to x = 50. We can see that y-value lies between 200 and 250.

It is near about y = 225. Hence, option B is correct.

Solving Q2 : What is x when y = 300? (the solution graph is attached below)

We can make a rectangle (in red color on solution graph) to find the value of x corresponding to y = 300. We can see that x-value lies between 60 and 65.

It is near about x = 61. Hence, option A is correct.

Solving Q3 : Solve 17x = 3.

$17x = 3 \\\\ x = \frac{3}{17} \\\\ x = 0.176470588 \approx 0.18$

Hence, option A is correct i.e. x = 0.18

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How can you break up the figure into familiar shapes to determine the area?

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Break it off where the triangle goes into a square/ rectangle

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2 years ago

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NISA [10]

For this case we must find the solution of the following quadratic equation:

$x ^ 2 + 5x + 7 = 0$

Where:

$a = 1\\b = 5\\c = 7$

Then, the solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}$

By definition we have: $i ^ 2 = -1$

$x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}$

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0

3 years ago

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

Dafna1 [17]

Answer:

a) 0.0869 = 8.69% probability that the thickness is less than 3.0 mm

b) 0.0668 = 6.68% probability that the thickness is more than 7.0 mm

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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 4.9, \sigma = 1.4$