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OLga [1]
3 years ago
5

+) Evaluate the expression 81 – 82. 81 – 82 =

Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Answer:

81-8²

=81-(8×8)

=81-64

=17

Temka [501]3 years ago
7 0
81 - 8^2 is 17 ..............
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Use the echelon method to solve the following system of two equations in two unknowns. Check your answer. x+y=17 amd 9x-y=73
Komok [63]

Answer:

  y = 8

x = 9

Step-by-step explanation:

given equation,

x + y = 17     ........(1)

9 x - y = 73...........(2)

writing in matrix form

A X = B

\begin{bmatrix}1 &1 \\ 9 &-1 \end{bmatrix} \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}17\\73 \end{bmatrix}

using augamented matrix A|B

\begin{bmatrix}1 &1& 17\\ 9 & -1 & 73\end{bmatrix}

using row transformation

R₂ = R₂ - 9 R₁

\begin{bmatrix}1 &1& 17\\ 0 & -10 & -80\end{bmatrix}

now,

\begin{bmatrix}1 &1 \\ 0 &-10 \end{bmatrix} \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}17\\-80 \end{bmatrix}

now

-10 y = -80

    y = 8

and

x + y = 17

x = 17 -8

x =9

7 0
3 years ago
A sociologist will conduct a two-sample tt-test for a difference in means to investigate whether there is a significant differen
AnnZ [28]

Answer:

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

3) D.f= n1+n2-2= 32+28-2= 58

Step-by-step explanation:

The null hypothesis is that there is no  difference in population means (masterâs degree minus bachelorâs degree)

The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)

1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂

2)The test statistic is

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

where

Sp=  s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)

Putting the values

Sp= 12,250,000( 31)  + 16,000,000(27)/ 31+27

Sp=  379,750,000- 432,000,000/58

Sp= -52,250,000/58

Sp= -900,862.1

Now Putting the values in the t- test

t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)

t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)

t= -3000/ -233,120.21

t= 0.012868

3) D.f= n1+n2-2= 32+28-2= 58

for 2 tailed test the critical value of t is obtained by

t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017

4) Since the calculated value of t=  0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.

7 0
3 years ago
PLEASE HELP!!
Dima020 [189]

Answer:

A. 90°+m∠4

Step-by-step explanation:

Also  

∠ A + ∠ C = 180  o = ∠ B + ∠ D

⇒ 2 x+ ( 3 x − 5 ) = 180  0 = ( x + 5 ) +  ∠  C

5 x  −  5  =  180

Add 5 to both sides

5 x  =  185

Divide both sides by 5

x =  185  5  =  37

But it was A. 90°+m∠4

4 0
3 years ago
michael made 9/12 of his free throws at practice.what is 9/12 in simplest form i really don't get simplest form
ruslelena [56]
To get simplest form you make it the smallest fraction you can make it by dividing both sides by the same number until it's not possible anymore Hope that helped!
4 0
3 years ago
Read 2 more answers
I) <br><img src="https://tex.z-dn.net/?f=3%20%5Csqrt%7B3%7D%20%20%5Ctimes%20%20%5Csqrt%7B3%7D%20" id="TexFormula1" title="3 \sqr
Slav-nsk [51]

Answer:

<h2>9</h2>

Step-by-step explanation:

3\sqrt{3}\times\sqrt{3}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\\\sqrt{3}\sqrt{3}=3\\\\=3\times\:3\\\\=9

5 0
3 years ago
Read 2 more answers
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