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lana66690 [7]
2 years ago
5

Which of the following is equal to 4 and 2/3 ÷ by 3 and 1/2​

Mathematics
2 answers:
nordsb [41]2 years ago
7 0
The answer is 4/3 fraction form
Marina CMI [18]2 years ago
4 0

the answer is 4/3 fraction form

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Which inequality statement describes the two numbers on a number line?
ikadub [295]

Answer:

The answer is: D

Step-by-step explanation:

6 0
2 years ago
Find the values of x and y.
timurjin [86]

Answer:

x= 38

y= 71

Step-by-step explanation:

The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.

The two sides marked with a "dash" are said to be equal.

<h3 /><h3><u>STEP I:</u></h3>

If we label off the triangle as ABC with AD being the extended length (containing 108°).

We'll get,

AB = AC

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3 /><h3><u>STEP II:</u></h3>

*Property*

<em>"</em><em>I</em><em>f</em><em> </em><em>two</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>triangle</em><em> </em><em>are</em><em> </em><em>equal</em><em> </em><em>their</em><em> </em><em>corresponding</em><em> </em><em>base</em><em> </em><em>angles</em><em> </em><em>are</em><em> </em><em>equal</em><em> </em><em>too</em><em>.</em><em>"</em>

=> <u>∠BAC = ∠BCA </u> . . . . (¡)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3 /><h3><u>STEP</u><u> </u><u>III</u><u>:</u></h3>

From the figure, ∠BCA is equal to y.

*Property*

<em>"</em><em>Two</em><em> </em><em>angles</em><em> </em><em>on</em><em> </em><em>a</em><em> </em><em>straight</em><em> </em><em>line</em><em> </em><em>sum</em><em> </em><em>up</em><em> </em><em>to</em><em> </em><em>180</em><em>°</em><em>"</em>

∠BAC can be found out by subtracting 109° from the straight angle (180°).

=> ∠BAC = 180 - 109

=> <u>∠BAC = 71°</u>

Substituting these values in eqn. (¡):

71 = y

Hence, the value of y is 71°

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3 /><h3><u>STEP</u><u> </u><u>IV</u><u>:</u></h3>

*Property*

<em>"</em><em>The</em><em> </em><em>exterior</em><em> </em><em>angle</em><em>(</em><em>angle</em><em> </em><em>on</em><em> </em><em>the</em><em> </em><em>extended</em><em> </em><em>side</em><em>)</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>triangle</em><em> </em><em>is</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>it's</em><em> </em><em>interior</em><em> </em><em>opposite</em><em> </em><em>angles</em><em>.</em><em>"</em>

Here,

  • Interior angles = x and y (= 71)
  • Exterior Angle = 109°

=> 109 = x + 71

=> 109 - 71 = x

=> x = 38°

Hence, the value of x is 38°.

4 0
2 years ago
How is a scatter plot that shows no correlation different from a scatter plot that shows a negative correlation?
Crank
A scatter plot that has no correlation shows points that a trend line cannot be drawn through and that their is no correlation between the X values and Y values. A scatter plot with a negative correlation has a correlation between the X and y values where as X increases why decreases. A trend line with a negative slope can also be drawn on a negative correlation scatter plot.

Hope that helped or even made sense
3 0
2 years ago
HELP QUICK I ONLY HAVE 1 CHANCE
Otrada [13]
I think it would be 1/2. Because, there's a 50/50 chance of it landing in either side.
8 0
2 years ago
The increase or decrease in the price of a stock between the beginning and the end of a trading day is assumed to be an equally
gayaneshka [121]

Answer:

The probability that a stock will show an increase in its closing price on seven consecutive days is 0.78%.

Step-by-step explanation:

In each day, there are only two possible outcomes for the stock. Either it increases, or it decreases. This means that we can solve this problem using concepts of the binomial probability distribution.

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 combinatios 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.

In this problem, we have that

There are 7 days, so n = 7.

The increase or decrease in the price of a stock between the beginning and the end of a trading day is assumed to be an equally likely random event. This means that p = 0.5.

What is the probability that a stock will show an increase in its closing price on seven consecutive​ days?

This is P(X = 7)

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

P(X = 7) = C_{7,7}.(0.5)^{7}.(0.5)^{0} = 0.0078

The probability that a stock will show an increase in its closing price on seven consecutive days is 0.78%.

8 0
3 years ago
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