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brilliants [131]
1 year ago
14

I dont get this. I need help

Mathematics
1 answer:
djverab [1.8K]1 year ago
6 0

The model suggests the equation 3x-4 = 6-2x and the solution is x = 2.

What is equation?

In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =

Main body:

According to question,

there are 3 bars for x and 2 bars for -x  so it shows

The equation becomes :

3x - 4 = 6-2x

5x = 10

x =2

Hence the solution to this equation is 2.

To know more about equation click on the link below

brainly.com/question/22688504

#SPJ1

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Which of the following is true about the function y= 4 * 3tothepowerofx
xenn [34]

Only true statement for function f(x) = 4(3^{x}) is <u>c.  if the value of x increases by 1, the value of y will triple</u>.

<u>Step-by-step explanation:</u>

<u>a.  the function decreases </u>

f(x) = 4(3^{x}) , For value of x<1 function decreases and for x>1 function increases . False statement .

<u>c.  if the value of x increases by 1, the value of y will triple. </u>

For value of x increases by 1 we have , f(x) = 4(3^{x+1}) = 4(3^{x})(3) = f(x) (3) = y(3) . True statement.

<u>b.  the function has a y-intercept of (0, 3) </u>

At y intercept x=0, f(x) = 4(3^{x}) , f(0) = 4(3^{0}) = 4 . Function has a y-intercept of (0,3). False statement.

<u>d.  the function contains the point (1, 4)</u>

At x=1, f(1) = 4(3^{1}) = 12 . Function contains (1,12) not (1,4) . False statement.

8 0
3 years ago
In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. In addition, there
lesya692 [45]

Answer:

15.87% probability that a random sample of 16 people will exceed the weight limit

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums, the theorem can be applied, with mean n*\mu and standard deviation s = \sqrt{n}*\sigma

In this problem, we have that:

n = 16, \mu = 16*150 = 2400, s = \sqrt{16}*27 = 108

If a random sample of 16 persons from the campus is to be taken, what is the chance that a random sample of 16 people will exceed the weight limit

This is 1 subtracted by the pvalue of Z when X = 2508. So

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

By the Central Limit Theorem

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

Z = \frac{2508 - 2400}{108}

Z = 1

Z = 1 has a pvalue of 0.8413

1 - 0.8413 = 0.1587

15.87% probability that a random sample of 16 people will exceed the weight limit

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Answer:

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2 years ago
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Activity 2.2.6 which triangles can be proved congruent?
Sindrei [870]

Answer:

Triangles are congruent if: All their sides are equal (SSS), 2 sides and angle between them are equal (SAS), 2 angles and side between are equal (ASA),  hypotenuse and angle of right angled triangle are equal (RHS)

S=SIDE

A=ANGLE

H=HYPOTENUSE

R=RIGHT ANGLE

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