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VikaD [51]
2 years ago
15

25to300 round to the nearest percent

Mathematics
1 answer:
mihalych1998 [28]2 years ago
8 0

Answer:

163%

Step-by-step explanation:

Find in-between 25 and 300, which is 162.5 ,round to the nearest percentage being 163%. Hence your answer

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National data indicates that​ 35% of households own a desktop computer. In a random sample of 570​ households, 40% owned a deskt
Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a​ desktop.

Step-by-step explanation:

We are given that National data indicates that​ 35% of households own a desktop computer.

In a random sample of 570​ households, 40% owned a desktop computer.

<em><u>Let p = population proportion of households who own a desktop computer</u></em>

SO, Null Hypothesis, H_0 : p = 25%   {means that 35% of households own a desktop computer}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 570​ households who owned a desktop computer = 40%

            n = sample of households = 570

So, <u><em>test statistics</em></u>  =  \frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }

                               =  2.437

<em>Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.</em>

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0
3 years ago
Justify each step in solving the equation 5(y+3)-11=-y-6 by writing a reason for each statement.
liubo4ka [24]

Explanation:

5(y+3)-11=-y-6 Given

5(y+3)=-y+5 . . . . addition property of equality (11 is added)

5y+15=y+5 . . . . . distributive property (5 is distributed)

5y=-y-10 . . . . . . . addition property of equality (-15 is added)

6y=-10 . . . . . . . . . addition property of equality (y is added)

y=-5/3 Division Property of Equality/Reduce

6 0
3 years ago
Calculate the length of ac
svlad2 [7]

Answer:

  12.1 cm

Step-by-step explanation:

Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.

  sin(C)/c = sin(A)/a

  C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°

Then angle B is ...

  B = 180° -A -C = 180° -81° -36.86° = 62.14°

and side b is ...

  b/sin(B) = a/sin(A)

  b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835

The length of AC is about 12.1 cm.

_____

<em>Comment on the solution</em>

The problem can also be solved using the law of cosines. The equation is ...

  13.5² = 8.2² +b² -2·8.2·b·cos(81°)

This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.

  b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)

  b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit

3 0
3 years ago
Read 2 more answers
I need answers!!!!!!!!
aleksandrvk [35]

Answer:

a) 4.4583 b) Fiona

Step-by-step explanation:

First find the average of the numbers by adding them all together then dividing them by the amount of numbers given:

(85 + 88 + 90 + 91 + 93 + 96 + 97 + 97 + 98 + 98 + 99 + 105)\div12= 1137\div12= 94.75

Then find the difference between each number and the answer you got

(85 - 94.75) + (88 - 94.75) + (90 - 94.75) + (91 - 94.75) + (93 - 94.75) + (96 - 94.75) + (97 - 94.75) + (97 - 94.75) + (98 - 94.75) + (98 - 94.75) + (99 - 94.75) + (105 - 94.75)\div12

Which is

(9.75) + (6.75) + (4.75) + (3.75) + (1.75) + (1.25) + (2.25) + (2.25) + (3.25) + (3.25) + (4.25) + (10.25)\div12

Which comes out to

\frac{53.5}{12}=4.4583

6 0
3 years ago
The graph shows the relationship between the number of weeks and the number of hours spent on the computer. What rule relates th
deff fn [24]

Answer: multiply the number of weeks by 3 or A ( if in assessment guide book)

Step-by-step explanation: just look at the point where its between 2 and 4

3 0
3 years ago
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