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3 years ago

Choose the two equal expressions

Mathematics

2 answers:

Mama L [17]3 years ago

7 0

It’s A and D

Have a great day

Delvig [45]3 years ago

4 0

I think D and E? cuz 15 x 6 is 90

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Let U= U= Universal set ={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A={1, 3, 4, 5, 7, 9} A={1, 3, 4, 5, 7,

blagie [28]

Answer:

a) $A' = [0,2,6,8]$

b) $(AUB)' = [0,2,6]$

c) $(AUB')' = [9]$

d) A∩B′ $= [3,5,9]$

Step-by-step explanation:

Assuming this problem: "Let U= U= Universal set ={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A={1, 3, 4, 5, 7, 9} , and B={1, 4, 7, 8} . List the elemetns of the following sets in the increasing order: a) A′= b) (A∪B)′={ , , }} c) (A∪B′)′={ }} d) A∩B′={ , , }}"

Part a

For this case we just need to find the elements in the universal set that are not in A. And we see that:

$A' = [0,2,6,8]$

And that represent the complement for A

Part b

For this case we need to find first the Union AUB who are the elements on A or B without repetition and we got:

$AUB = [1,3,4,5,7,8,9]$

And now the complement for (AUB)' are the elements that are not in AUB but are on the universal set and we got:

$(AUB)' = [0,2,6]$

Part c

For this case we need to find B' who are the elements on the universal set that are not in B

$B' = [0,2,3,5,6,9]$

Then we can find the union between AUB' and we got:

$AUB' = [0,1,2,3,4,5,6,7,9]$

And then the complment is just:

$(AUB')' = [9]$

Part d

For this case we just need to see the elements in common between A and B' and we got:

A∩B′ $= [3,5,9]$

6 0

4 years ago

Which term describes a function in which there is a common difference between each y-value?

GalinKa [24]

$\bf \textit{arithmetic sequence}
\\\\\\
2,~~\stackrel{2+3}{5},~~\stackrel{5+3}{8},~~\stackrel{8+3}{11},...
\\\\\\
5-2\implies \stackrel{\stackrel{common}{difference}}{3}\qquad \qquad 8-5\implies \stackrel{\stackrel{common}{difference}}{3}
\\\\\\
11-8\implies \stackrel{\stackrel{common}{difference}}{3}$

4 0

3 years ago

Read 2 more answers

Cara put 4,000 dollars into a college savings account with 5% simple interest rate. How much money will she have in her bank acc

Nuetrik [128]

Answer:

$ 5,000

Step-by-step explanation:

si = (prt) / 100

p = $4000 r = 5% t = 5 years

si = (4000 x 5 x 5) / 100

= 1000

amount = principal + interest

= 4,000 + 1,000

= $ 5,000

4 0

3 years ago

A random sample of 150 recent donations at a certain blood bank reveals that 82 were type A blood. Does this suggest that the ac

kati45 [8]

Answer:

We reject H₀ Porcentage of type A blood donations differs from 40% (porcentage of population having type A blood)

Step-by-step explanation:

We are going to develop a proportion test.

Information we have:

Proportion P₀ = 40 % P₀ = 0,4 (porcentage of population having type A blood)

Sample size n = 150

Sample mean P = 82/ 150 P = 0,5466

As P₀ = 0,4 Q₀ = 0,6 P₀*Q₀ = 0,24

1.-Test Hypothesis:

H₀ null hypothesis P₀ = 0.4

Hₐ alternative hypothesis P₀ ≠ 0.4

2.- signficance level

a ) α = 0.01 we have a two tail-test α/2 = 0.005

b ) α = 0.05 α/2 = 0.025

Then from t-student table we get t(c) n = 150 df = 149

a ) α/2 = 0.005 t(c) = 2.581

b ) α/2 = 0.025 t(c) = 1.962

3.-Compute t(s)

t(s) = ( P - P₀ ) / √P₀Q₀/n

Plugging in known values

t(s) =[ ( 0.5466 - 0,4 )*√150 ] / √0.24

t(s) = 0,1466 * 12.25 / 0.4899

t(s) = 3.6657

Compare t(s) and t(c)

t(s) > t(c) 3.6657 > 2.581

Then t(s) is out of the acceptance region we reject H₀.

Simple inspection led us see that for

α/2 = 0.025 t(c) = 1.962

The situation is the same

6 0

3 years ago

What is the opposite reciprocal for -1/5

BARSIC [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers