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irinina [24]
3 years ago
13

Help me in geometry please

Mathematics
2 answers:
Tanya [424]3 years ago
8 0
QT = RS
30 = 4x + 10
20 = 4x
x = 5

answer
x = 5 It's B. second choice
Brilliant_brown [7]3 years ago
6 0
In a rectangle, opposite sides are congruent.

So this means that
QT = RS
or
30 = 4x + 10
subtract the 10 from both sides

20 = 4x
divide both sides by 4

5 = x

answer is B. 5
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The answer to your question it $3.15
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3 years ago
consider the following scenario: Assume daily protein intake values in a population of athletes are known to have a standard dev
Kipish [7]

Answer:

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

5 0
3 years ago
Given one factor of the polynomial, factor the polynomial completely.
astraxan [27]

Answer:

The factors are (x  - 1)(x - 5)(x + 2).

Step-by-step explanation:

Long division:

x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.

        x^3 - 5x^2

                   x^2 - 7x

                    x^2 - 5x

                           - 2x + 10

                            -2x + 10

                              ...........

x^ 2 + x - 2 = (x + 2)(x - 1).

7 0
2 years ago
The sum of the roots of 3x 2 + 11x - 4 = 0 is<br><br> -11/3<br> -4/3<br> 11/3<br> 4/3
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Answer:

The correct option is 1.

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0             .... (1)

Then the sum of the roots is -b/a and the product of roots is c/a.

The given equation is

3x^2+11x-4=0          ... (2)

From (1) and (2) we get a=3, b=11 and c=-4.

The sum of roots is

\frac{-b}{a}=-\frac{11}{3}

The sum of roots is -\frac{11}{3}.

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If the exchange rate changes from​ $1.45 = 1 euro to​ $1.37 = 1​ euro, then
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The euro has depreciated and the dollar as appreciated
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