1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katovenus [111]
2 years ago
8

Stuart decides there are no odd square numbers. His justification is that ‘because an even number multiplied by an even number p

roduces an even number, and that an odd number multiplied by an odd number also produces an even number, then there are no odd square numbers’. Do you agree with Stuart’s claim? If not, give an example to explain your answer. Please explain
Mathematics
1 answer:
labwork [276]2 years ago
4 0
This is false because 3 times 3=9 and all of those are odd
odd nubmers are represented by 2n+1 where n= a natural number (whhole numbers and negatives)
so (2n+1) squared=(2n+1)(2n+1)=4n^2+4n+1
(a whole number times an even number yeilds an even number because an even number is represented by 2n where n=a natrual number so 2n times x=2nx which is still even.)
since n represents a whole number and a whole number times an even number (4) equals an even number, 4n^2 and 4n must be even, and even+even=even
that leavs the +1 at the end
we know that even+1=odd so therefor any odd number squared results in an odd nnumber




an example is 9, 3 times 3 or 3 squared

You might be interested in
The trash can is in the shape of a cylinder that has a radius of 2 ft and a height of 5 feet what is the volume of the trash can
Oliga [24]
Volume of a cylinder is 62.8 cm cubed. Hope this helps!
8 0
2 years ago
Read 2 more answers
Points and Brainliest Giveaway!<br><br> What is the simplified form?<br> (2x^2 + 3x) + (4x^2 -7)
nika2105 [10]

Answer:

Explanation:

We can factor the numerator and denominator as;

(

x

−

2

)

(

x

−

1

)

2

x

(

x

−

1

)

We can now cancel common term in the numerator and denominator:

(

x

−

2

)

(

x

−

1

)

2

x

(

x

−

1

)

⇒

x

−

2

2

x

However, we cannot divide by

0

so we must exclude:

2

x

=

0

⇒

x

=

0

and

x

−

1

=

0

⇒

x

1

x

2

−

3

x

+

2

2

x

2

−

2

x

=

x

−

2

2

x

Where:

x

≠

0

and

x

≠

1

Or

x

2

−

3

x

+

2

2

x

2

−

2

x

=

x

2

x

−

2

2

x

=

1

2

−

1

x

Where:

x

≠

0

and

x

≠

1

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the range of the function f(x) = 3x2 + 6x - 8?
V125BC [204]

Answer:

  {y | y ≥ -11 }

Step-by-step explanation:

To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.

  f(x) = 3x^2 +6x -8

  f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms

  f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*

  f(x) = 3(x +1)^2 -11

The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:

  y ≥ -11

_____

* Vertex form is ...

  f(x) = a(x -h)^2 +k

where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.

The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.

_____

Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.

7 0
3 years ago
Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
What is the prime factorization of 75,29, and 168
Anna35 [415]

Answer:

Step-by-step explanation:

75 = 5 *5* 3

29 is a prime number = 29*1

168 = 2*2*2*3*7

7 0
3 years ago
Other questions:
  • Bianca is making scarves to sell she has 33 pieces of blue fabric 37 pices of green fabric nd 41 pieces of red fabric suppose Bi
    14·1 answer
  • Add. Find the expression in standard form.<br><br> (15y − 9 + 6y^2) + (10 − 5y) = _________
    15·1 answer
  • . Gerald wants to borrow $12,000 in order to buy an engagement ring. He wants to repay the loan by making monthly installments f
    15·1 answer
  • If A and B are independent events, then it must be true that P(BIA) = P(A).
    5·1 answer
  • An edge of Cube A is 8 inches, and an edge of Cube B is 5 inches. To the nearest tenth, how many times greater is the volume of
    9·1 answer
  • Please help. I will give Brainliest<br> Simplify: 3 + 7 * 4
    5·2 answers
  • For every performance, Jim’s band charges a $35 setup fee plus $20 for each hour they play. They charged $120 for their last per
    15·1 answer
  • 2. Select all the irrational numbers. *
    15·1 answer
  • PLEASE HELP !!!!!!!!!!!!
    13·1 answer
  • Hi! ❤️ I’m looking for help here thanks.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!