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Ivenika [448]
2 years ago
8

If 6 people share 1/2 of a cake, how much of the whole cake will each person get?

Mathematics
1 answer:
Novay_Z [31]2 years ago
3 0

Answer:

6 divided by 1/2 is 3

Step-by-step explanation:

You might be interested in
What is the slope of a line parallel to the line -3x+5y=-10
lapo4ka [179]

This looks familiar, right? Like slope-intercept.

y=mx+b, where m is the slope.

Let's right it like that.

5y=3x-10 (add 3x to both sides, since we want to isolate the y.)

Now divide by 5, since - again - we want to isolate the y.

y= 3/5x-10/5 >>>> y= 3/5x-2

I think the slope is 3/5.

If the line happens to be parallel, the slope is the same. If perpendicular, it is opposite reciprocal. So if it was perpendicular, the slope would be -5/3.

4 0
3 years ago
Read 2 more answers
A state legislator wants to determine whether his voters' performance rating (0 - 100) has changed from last year to this year.
ra1l [238]

Answer:

Step 1 of 4

Point estimate for the population mean of the paired differences = -8.2

Step 2 of 4

Sample standard deviation of the paired differences = 16.116244

Step 3 of 4

Margin of Error = ±9.326419

Step 4 of 4

90% Confidence interval = (-17.5, 1.1)

Step-by-step explanation:

The ratings from last year and this year are given in table as

Rating (last year) | x1 | 87 67 68 75 59 60 50 41 75 72

Rating (this year) | x2| 85 52 51 53 50 52 80 44 48 57

Difference | x2 - x1 | -2 -15 -17 -22 -9 -8 30 3 -27 -15

Step 1 of 4

Mean = (Σx)/N = (-82/10) = -8.2 to 1 d.p.

Step 2 of 4

Standard deviation for the sample

= √{[Σ(x - xbar)²]/(N-1)} = 16.116244392951 = 16.116244 to 6 d.p.

Step 3 of 4

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = -8.2

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 10 - 1 = 9.

Significance level for 90% confidence interval

= (100% - 90%)/2 = 5% = 0.05

t (0.05, 9) = 1.83 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 16.116244

n = sample size = 10

σₓ = (16.116244/√10) = 5.0964038367

Margin of Error = (Critical value) × (standard Error of the mean) = 1.83 × 5.0964038367 = 9.3264190212 = 9.326419 to 6 d.p.

Step 4 of 4

90% Confidence Interval = (Sample mean) ± (Margin of Error)

CI = -8.2 ± (9.326419)

90% CI = (-17.5264190212, 1.1264190212)

90% Confidence interval = (-17.5, 1.1)

Hope this Helps!!!

4 0
3 years ago
Consider functions
aniked [119]

b is the correct answer

Step-by-step explanation:

see the step in the picture

6 0
2 years ago
Associative property <br><br> Commutative property <br><br> Distributive property
inysia [295]

Answer:

Distributive Property

Step-by-step explanation:

5 0
3 years ago
If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4?
Delicious77 [7]
Y=k/x
2.5=k/6
k=15

wheny x=4, y=15/4
                   y=3.75
6 0
3 years ago
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