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3 years ago

Can anyone help with these maths questions about transformations please?

Mathematics

1 answer:

salantis [7]3 years ago

8 0

A. Reflection over y = 2

B. Reflection over y axis, reflection over y = 1

C. I'm guessing you just have to draw this one, just put the center on (2,0) and enlarge it by the scale factor

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An antique vase sells for $80. If the price increases by 18%, and then decreases by 20%, what is the new price?

Elanso [62]

Answer:

$113.28

Step-by-step explanation:

18% of 80 = 14.40

80 + 14.40 = 94.40

20% of 94.40 = 18.88

94.40 + 18.88 = 113.28

5 0

3 years ago

Exercise 2.64. On a test there are 20 true-or-false questions. For each problem the student (a) knows the answer with probabilit

ale4655 [162]

Answer:

$\left(p+\dfrac{p}{2}\right)^{19}\left(20-19p-\dfrac{19r}{2}\right)$

Step-by-step explanation:

Let the probability that he gets the correct answer be m.

If he gets the answer, then either he knows it (a probability of p) or he does not know it but guesses correctly (r × 1/2). Therefore,

$m = p + \dfrac{r}{2}$

Let the probability that he gets the incorrect answer be n. Then, by being complementary events

$n=1-m =1 - p - \dfrac{r}{2}$

This is a binomial or Bernoulli distribution since he gets the answer either correctly or incorrectly. The probability of at least 19 correct answers out of 20 is the sum of the probabilities of 19 or 20 correct answers.

$P(\gt19) = P(19) + P(20)$

$P(\gt19) = \binom{20}{19}m^{19}n^1 + \binom{20}{20}m^{20}$

$P(\gt19) = 20\left(p + \dfrac{r}{2}\right)^{19}\left(1 - p - \dfrac{r}{2}\right) + \left(p + \dfrac{r}{2}\right)^{20}$

$= \left( p + \dfrac{r}{2}\right)^{19}\left(20\left(1 - p - \dfrac{r}{2}\right)+p + \dfrac{r}{2}\right)$

$P(\gt19) = \left(p+\dfrac{p}{2}\right)^{19}\left(20-19p-\dfrac{19r}{2}\right)$

3 0

4 years ago

Heights of fourth graders are Normally distributed with a mean of 52 inches and a standard deviation of 3.5 inches. What percent

SVEN [57.7K]

Answer:

C. 59.01%

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:

$\mu = 52, \sigma = 3.5$