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3 years ago

The product of 4 and n is -48 translate the sentence into equation

Mathematics

1 answer:

fiasKO [112]3 years ago

5 0

4 times n=-48
4n=-48
that is the translateion

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9. Explain how to identify the opposite and adjacent legs of a given acute angle.

Luba_88 [7]

Answer:

Step-by-step explanation:

In an acute angle, the side facing an angle is always termed Opposite

whereas the other side usually not the longest though is the Adjacent. take for example both sides have an angle, the value of the angle you want to use, the side directly facing it is called Opposite, whereas the other side usually not the longest though is the Adjacent

7 0

2 years ago

After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum

Svetlanka [38]

Answer: 40000

Step-by-step explanation:

The formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$ , where p is the prior estimate of the population proportion.

Here we can see that the sample size is inversely proportion withe square of margin of error.

i.e. $n\ \alpha\ \dfrac{1}{E^2}$

By the equation inverse variation, we have

$n_1E_1^2=n_2E_2^2$

Given : $E_1=0.05$ $n_1=1000$

$E_2=0.025$

Then, we have

$(1000)(0.05)^2=n_2(0.025)^2\\\\\Rightarrow\ 2.5=0.000625n_2\\\\\Rightarrow\ n_2=\dfrac{2.5}{0.000625}=4000$

Hence, the sample size will now have to be 4000.

6 0

2 years ago

Solve the inequality, -4 less than 4(6y-12)-2y

erastova [34]

-4 < 4(6y - 12) - 2y

Distributive property.

-4 < 24y - 48 - 2y

Combine like terms.

-4 < 22y - 48

Add 48 to both sides.

44 < 22y

Divide both sides by 22.

2 < y

The value of y is greater than the value of 2.

5 0

2 years ago

The question is show a dilation of a rectangle with a dilation of 8/3

miv72 [106K]

It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2,4) by a scale factor of 1212.

1) multiply both coordinates by scale factor(2⋅12,4⋅122⋅12,4⋅12)2)

2. Simplify(1,2)3)

3. Graph(if required)

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3 years ago

A woman has 7 keys. only one of them will open her door. when seh arrives at the door there is no sufficient light for her to fi

Gala2k [10]

Since she has seven key the probability that the first one will open the door is
$\frac{1}{7}$
if it takes three attempts to open the door,the probability is
$\frac{1}{3}$
if the three attempts would not work
then the probability that the fourth attempt will open the door is
$\frac{1}{4}$
hope this helps

7 0

3 years ago