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SOVA2 [1]
3 years ago
8

I need help! Please answer this question

Mathematics
2 answers:
Mrrafil [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Cube : a = 1/3

Volume of one cube = a³

=(\frac{1}{3})^{3}= \frac{1}{27} cubic units\\

Number of cubes = Volume of prism/ Volume of one cube

=4÷(1/27)

=4*\frac{27}{1}=4*27=108

=108 cubes

Effectus [21]3 years ago
3 0
The answer is : 12 ok ?
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Which equation is equivalent to the given equation? x^2+16x=22
Vaselesa [24]

Answer:answer is a (x+8)^2=86

Step-by-step explanation:

x+8=±√

​86

​

​​

2 Break down the problem into these 2 equations.

x+8=\sqrt{86}x+8=√

​86

​

​​

x+8=-\sqrt{86}x+8=−√

​86

​

​​

3 Solve the 1st equation: x+8=\sqrt{86}x+8=√

​86

​

​​ .

x=\sqrt{86}-8x=√

​86

​

​​ −8

4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√

​86

​

​​ .

x=-\sqrt{86}-8x=−√

​86

​

​​ −8

5 Collect all solutions.

x=\sqrt{86}-8,-\sqrt{86}-8x=√

​86

​

​​ −8,−√

​86

​

​​ −8

x

​2

​​ +16x−22=0

2 Use the Quadratic Formula.

x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=

​2

​

​−16+2√

​86

​

​​

​​ ,

​2

​

​−16−2√

​86

​

​​

​​

3 Simplify solutions.

x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√

​86

​

​​ ,−8−√

​86

​

​​

6 0
3 years ago
2.3 + 12.3x = 14.6 whats x?
FinnZ [79.3K]

Answer:

x = 1

Step-by-step explanation:

12.3 + 2.3 = 14.6

If you multiplied 12.3 by 1 it would still be 12.3

3 0
3 years ago
I hope everyone has a wonderful blessed day!!!!
postnew [5]

Answer:

Thanks

Step-by-step explanation:

4 0
3 years ago
In a previous​ year, 51​% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different tod
Yanka [14]

Answer:

Given:

n = 550

Po = 51% = 0.51

P0 - 1 = 0.51 - 1 = 0.49

p' = \frac{287}{550} = 0.5218

np0(1 - p0) = 550*0.51(1-0.51)

= 137.4 ≥ 100

This means the sample size is greater than 5% of the population size. and the sample can be reasonably assumed to be random, the requirement for testing hypothesis are satisfied.

1) The null and alternative hypotheses:

H0 : p0 = 0.51

H1 : p0 ≠ 0.51

The test statistic Z,

Z = \frac{p' - p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}

Z = \frac{0.5218 - 0.51}{\sqrt{\frac{0.51(1-0.51)}{550}}}

Z = 0.55

This is two tailed test.

The pvalue for Z =0.55

Pvalue = 0.5824

3) Decision:

Since pvalue, 0.5824 is greater than significance level, we fail to reject null hypothesis H0.

Conclusion:

Do not reject Upper H0. There is not sufficient evidence at the alpha equals 0.01 level of significance to conclude that the proportion of females who are living alone has changed.

8 0
3 years ago
(x+1)-6(x+1)+8 how to factorise it?<br>​
sergij07 [2.7K]

Answer:

Step-by-step explanation:

If you have written the question correctly, then you don't need to factor it. You only need to remove the brackets.

x + 1 + 6x + 6 + 8

7x + 15 is your final answer.

However, I think the question is

(x + 1)^2 + 6(x + 1) + 8

Let y = x + 1

y^2 + 6y + 8

(y + 2)(y + 4)

(x + 1 + 2 ) ( x + 1 + 4)

(x + 3)(x + 5)

8 0
3 years ago
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