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emmainna [20.7K]
3 years ago
11

Consider the following expression.4x4y+4y3 Identify the degree.

Mathematics
1 answer:
matrenka [14]3 years ago
4 0
Im p sure the degree is one
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Use the difference of two squares to find the value of 612 - 392​
kaheart [24]

Answer: 4 (153 - 98)

formula is a^2-b^2=(a+b)(a-b)

factor out the GCF:

4(153−98)

both terms are not perfect squares so

you cant factor it further.

3 0
3 years ago
Help out a bab please?
aev [14]

Answer:

7

Step-by-step explanation:

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3 years ago
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I'll mark you the brainiest if you get this right<br> thx x
GenaCL600 [577]
A) triangle c, has the largest area
b) a= 1/2 (3) (3) a= 4.5
the picture shows what i mean hope this helps :)

6 0
3 years ago
A simple random sample of 110 analog circuits is obtained at random from an ongoing production process in which 20% of all circu
telo118 [61]

Answer:

64.56% probability that between 17 and 25 circuits in the sample are defective.

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:

n = 110, p = 0.2

So

\mu = E(X) = np = 110*0.2 = 22

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{110*0.2*0.8} = 4.1952

Probability that between 17 and 25 circuits in the sample are defective.

This is the pvalue of Z when X = 25 subtrated by the pvalue of Z when X = 17. So

X = 25

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

Z = \frac{25 - 22}{4.1952}

Z = 0.715

Z = 0.715 has a pvalue of 0.7626.

X = 17

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

Z = \frac{17 - 22}{4.1952}

Z = -1.19

Z = -1.19 has a pvalue of 0.1170.

0.7626 - 0.1170 = 0.6456

64.56% probability that between 17 and 25 circuits in the sample are defective.

4 0
4 years ago
A line has a slope of -3/4 and has a y intercept of 3. What is the x intercept of the line
natima [27]

Answer:

The x-intercept is 4

Step-by-step explanation:

We are given;

The slope of a line as -3/4

y-intercept is 3

We are supposed to determine the x-intercept;

We need to know that;

The slope of a line is given by the ratio of the change in y to the change in x

The coordinates of y-intercept are (0, 3)

Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)

But;

slope = Δ in y ÷ Δ in x

Therefore;

\frac{0-3}{a-0}= \frac{-3}{4}

Solving for a

-3a = -12 \\    a =4

Therefore, the x-intercept is 4

3 0
3 years ago
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