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Sedaia [141]
3 years ago
9

Slope is 1 over 4 and(1,-2) is on the line

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer:

Step-by-step explanation:

y = mx + b

slope(m) = 1/4

(1,-2)...x = 1 and y = -2

now we sub and find b, the y int

-2 = 1/4(1) + b

-2 = 1/4 + b

-2 - 1/4 = b

-8/4 - 1/4 = b

-9/4 = b

so ur equation is : y = 1/4x - 9/4 <===

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Which figure has the longer side and by how much , a square with an area of 81ft ^2 or a square with a perimeter of 84 ft
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The square that has a perimeter of 84 ft has the longer side.
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State the independent variable and dependent variable and find the slope.
Rudik [331]
Time is your independent variable, and snowfall is your dependent variable.

Slope can be found by calculating ∆y/∆x:
x =  \frac{0.06 - 0.02}{3 - 1}  \\ x =   \frac{0.04}{2}  \\ x = 0.02

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4 years ago
Students who have completed a speed reading course have reading speeds that are normally distributed with a mean of 950 words pe
VikaD [51]

Answer:

36.04% probability that at most two of them would read at less than 850 words per minute

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the binomial probability distribution.

Normal probability distribution

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.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Percentage of students who read less than 850 words per minute.

Pvalue of Z when X = 850. The mean is \mu = 950 and the standard deviation is \sigma = 200

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

Z = \frac{850 - 950}{200}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

30.85 of students read less than 850 words per minute.

If 10 students are selected at random, what is the probability that at most two of them would read at less than 850 words per minute

This is P(X \leq 2) when n = 10, p = 0.3085. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.3085)^{0}.(0.6915)^{10} = 0.0250

P(X = 1) = C_{10,1}.(0.3085)^{1}.(0.6915)^{9} = 0.1115

P(X = 2) = C_{10,2}.(0.3085)^{2}.(0.6915)^{8} = 0.2239

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0250 + 0.1115 + 0.2239 = 0.3604

36.04% probability that at most two of them would read at less than 850 words per minute

8 0
3 years ago
1. There are 50 contestants signed up for a TV show. There are 36 more female contestants than male contestants. How many female
Novosadov [1.4K]

The number of female contestants who signed up to compete is; 43.

<h3>What is the number of female contestants?</h3>

Let number of females = x

Let number of males = y.

Hence, it follows from the task content that;

x+y = 50

x-y = 36.

Hence, by adding both equations together in a bid to determine the number of females; we have;

2x = 86

x = 43.

Read more on simultaneous equation;

brainly.com/question/148035

#SPJ1

4 0
2 years ago
I need help with this
IgorC [24]
Hello there I think the answer is 2.
4 0
3 years ago
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