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timurjin [86]
3 years ago
10

Grade 7 math extra credit

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0
2400 in prize money...

the first winner will receive 1/3 of the money..
1/3 * 2400 = 2400/3 = 800
leaving 2400 - 800 = 1600

the next 10 winners will receive 1/10 of the remaining amount
1/10 * 1600 = 1600/10 = 160 <== each will receive $ 160
You might be interested in
2.2x+4.4 whats the coeffficent and variable
mamaluj [8]
<span>2.2(x+2) would be the answer of the problem </span>
3 0
3 years ago
Which matrix is equal to P + Q?
Afina-wow [57]
Answer: 
\begin{bmatrix}-1.1 & 9.5\\-5.7 & 0.8\\6.1 & 0.7\end{bmatrix}

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

Add up the corresponding elements

Row1,Column1: 6.1+(-7.2) = -1.1
Row1,Column2: 1.9+7.6 = 9.5
Row2,Column1: -7.5+1.8 = -5.7
Row2,Column2: 2.2+(-1.4) = 0.8
Row3,Column1: 3.8+2.3 = 6.1
Row3,Column2: -1.4+2.1 = 0.7

So that's why the answer is 
\begin{bmatrix}-1.1 & 9.5\\-5.7 & 0.8\\6.1 & 0.7\end{bmatrix}

3 0
3 years ago
A development economist is studying income growth in a rural area of a developing country. The last census of the population of
kykrilka [37]

Answer:

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.  

Step-by-step explanation:

Data given and notation  

\bar X=433.75 represent the mean height for the sample  

\sigma=\sqrt{2500}=50 represent the population standard deviation for the sample  

n=100 sample size  

\mu_o =425 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean height actually is higher than the mean height for men in 1960, the system of hypothesis would be:  

Null hypothesis:\mu \leq 425  

Alternative hypothesis:\mu > 425  

Since we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{433.75-425}{\frac{50}{\sqrt{100}}}=1.75    

P-value

Since is a one right tail test the p value would be:  

p_v =P(z>1.75)=1-P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.  

3 0
3 years ago
The set of points (-3, 4), (-1, 1), (-3,-2), and (-5,1) identifies the vertices of a quadrilateral. Which is the most specific d
KIM [24]

Answer:

Option (4). Rhombus

Step-by-step explanation:

From the figure attached,

Distance AB = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

                     = \sqrt{(1-4)^2+(-5+3)^2}

                     = \sqrt{(-3)^2+(-2)^2}

                     = \sqrt{13}

Distance BC = \sqrt{(4-1)^2+(-3+1)^2}

                     = \sqrt{9+4}

                     = \sqrt{13}

Distance CD = \sqrt{(-2-1)^2+(-3+1)^2}

                     = \sqrt{9+4}

                     = \sqrt{13}

Distance AD = \sqrt{(1+2)^2+(-5+3)^2}

                     = \sqrt{9+4}

                     = \sqrt{13}

Slope of AB (m_{1}) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

                           = \frac{4-1}{-3+5}

                           = \frac{3}{2}

Slope of BC (m_{2}) = \frac{4-1}{-3+1}

                            = -\frac{3}{2}

If AB and BC are perpendicular then,

m_{1}\times m_{2}=-1

But it's not true.

[m_{1}\times m_{2}=(\frac{3}{2})(-\frac{3}{2}) = -\frac{9}{4}]

It shows that the consecutive sides of the quadrilateral are not perpendicular.

Therefore, ABCD is neither square nor a rectangle.

Slope of diagonal BD = \frac{4+2}{-3+3}

                                    = Not defined (parallel to y-axis)

Slope of diagonal AC = \frac{1-1}{-1+5}

                                    = 0 [parallel to x-axis]

Therefore, both the diagonals AC and BD will be perpendicular.

And the quadrilateral formed by the given points will be a rhombus.

5 0
3 years ago
Question 1 A square has a perimeter given by the expression 20x + 24y Write an expression for the length of one side of the squa
mote1985 [20]

Answer:

<h2>5x+6y</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • algebra
  • PEMDAS
<h3>tips and formulas:</h3>
  • parimeter of a square:4a
<h3>let's solve:</h3>
  1. factor out 4 from the expression:4(5x+6y)
  • therefore the length of one side of the square is 5x+6y
6 0
3 years ago
Read 2 more answers
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