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Aloiza [94]
3 years ago
14

Match the information on the left with the appropriate equation on the right.

Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

x - y = 3

2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

The the equation of the line will be,

y - 2 = 1(x + 1)

y = x + 1 + 2

y = x + 3

x - y = -3

3). Equation of a line passing through two points (x_1, y_1) and (x_2,y_2) will be,

y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)

If this line passes through (-2, 3) and (-3, 4),

y-3=\frac{(4-3)}{(-3+2)}(x+2)

y - 3 = -1(x + 2)

y = -x - 2 + 3

y = -x + 1

x + y = 1

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Question:

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3 years ago
I have 30 photos to post on my website. I'm planning to post these on two web pages, one marked "Friends" and the other marked "
Sergio039 [100]

Answer:a) 870

b) 435

Step-by-step explanation:

a)

number of photos to be posted =n = 30

number of web pages on which they would be posted is 2

Since the order in which the photos appear on the web pages matters,

Number of ways = 30 permutation 2

=870 ways

b)

Since the order in which the photos appear on the web pages does not matter,

Number of ways = 30 combination 2

= 435 ways

6 0
3 years ago
Please help me please ​
Jlenok [28]
None of them because they are not in order
5 0
3 years ago
Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a
Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.65, n = 153. So

\mu = E(X) = 153*0.65 = 99.45

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{153*0.65*0.35} = 5.9

Consider the probability that greater than 94 out of 153 people will not get the flu this winter

This probability is 1 subtracted by the pvalue of Z when X = 94. So

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

Z = \frac{94 - 99.45}{5.9}

Z = -0.92

Z = -0.92 has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

7 0
3 years ago
Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is
Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

2.5 =x

6 0
3 years ago
Read 2 more answers
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