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3 years ago

The system ax-by=-16 and ax+2y=20 has one solution at the point (3,4). Find a and b. (a=4,b=7)

Mathematics

1 answer:

RSB [31]3 years ago

8 0

Answer:

Step-by-step explanation:

substitute (3,4) to equation: ax+2y=20

3a+8=20

a=4

Then, 4x-by=-16

substitute (3,4) to solve b,

4*3-b(4)=-16

b=7

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AnnZ [28]

Answer:

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3 years ago

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MrRissso [65]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4

blsea [12.9K]

Answer:

Saving=£450

Spent=£200

Step-by-step explanation:

Ratio of saving to spending is 9:4

She inherits £650

So to determine her saving

It will be

9+4=13

Since her saving is 9

So, 9/13 × 650

5850/13

=450

So her saving is£450

To determine what she spent

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3 years ago

Read 2 more answers

Consider a normal distribution with mean 23 and standard deviation 7. What is the probability a value selected at random from th

Trava [24]

Answer:

0.5 = 50% probability a value selected at random from this distribution is greater than 23

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:

$\mu = 23, \sigma = 7$