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Travka [436]
3 years ago
7

Evaluate the following expression: 2(1,1) -4(0,1). enter your answer as a vector.

Mathematics
2 answers:
zhenek [66]3 years ago
8 0

<u>ANSWER</u>

\binom{2 }{ - 2}

<u>EXPLANATION</u>

We were given the vector equation:

2 \binom{1}{1} ) - 4 \binom{0}{1}

We perform the scalar multiplications first to get:

\binom{2 \times 1}{2 \times 1} ) - \binom{4 \times 0}{4 \times 1}

Simplify the components of each vector

\binom{2 }{2} - \binom{0}{4}

We subtract the corresponding components of the vector to get:

\binom{2 - 0}{2  - 4}

This simplifies to

\binom{2 }{ - 2}

wolverine [178]3 years ago
7 0

Answer:

The answer is (2,-2)

You just distribute the 2 into (1,1) and same with the -4 into (0,1) and add them together ‍

Step-by-step explanation:

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Previously, an organization reported that teenagers spent 24.5 hours per week, on average, on the phone. The organization thinks
Lena [83]

Answer:

We need to develop a one-tail t-student test ( test to the right )

We reject H₀  we find evidence that student spent more than 24,5 hours on the phone

Step-by-step explanation:

Sample size  n = 15     n < 30

And we were asked if the mean is higher than, therefore is a one-tail t-student test ( test to the right )

Population mean   μ₀  = 24,5

Sample mean   μ  =  25,7

Sample standard deviation s = 2

Hypothesis Test:

Null Hypothesis      H₀                             μ  =  μ₀

Alternative Hypothesis     Hₐ                  μ  >  μ₀

t (c) =  ?

We will define CI = 95 %  then   α = 5 %   α = 0,05    α/2 =  0,025

n = 15     then degree of freedom    df = 14

From t-student table  we get:  t(c) = 2,1448

And  t(s)

t(s) = ( μ  -  μ₀  ) / s/√n

t(s) = (25,7 - 24,5) /2/√15

t(s) = 2,3237

Now we compare   t(c)   and  t(s)

t(c)  =  2,1448         t(s)  = 2,3237

t(s) > t(c)

Then we are in the rejection region we reject H₀   we have evidence at 95% of CI that students spend more than 24,5 hours per week on the phone

8 0
3 years ago
Mr falcons pizza shop offers three sizes of pizza the small medium and large they have diameters of 8 inches 10 inches and 12 in
yuradex [85]
The circumference = 2×pi×radius
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3 years ago
What are the zero(s) of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B2%7D-36x%20%7D%7Bx-9%7D" id="TexFo
Contact [7]

Answer:

D

Step-by-step explanation:

The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:

0 = 4 {x}^{2}  - 36x

I will use the quadratic formula:

\frac{ 36  +  \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{  36 + 36}{8}  = 9

Therefore, x = 9 is a 0. Let's check with subtracted root now:

\frac{ 36   -    \sqrt{ {36}^{2}  - 4(4)(0)} }{2(4)}  \\  \frac{ 36  -  36}{8}  =  0

It appears 0 is also a root.

Therefore, the answer is D.

7 0
3 years ago
What decimal is equal to 32%?
AlexFokin [52]
That decimal would be: 32% = 0.32

So, your answer is 0.32

Hope it helped.
5 0
3 years ago
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likoan [24]

Answer:

Angle 1 and Angle 2 are adjacent angles.

8 0
3 years ago
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