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34kurt
3 years ago
10

Nick estimates 1/10+6/10 is about 1. Is his estimate reasonable? If not, estimate the sum

Mathematics
1 answer:
Margaret [11]3 years ago
8 0

Answer:

His estimate is reasonable

Step-by-step explanation:

1/10 + 6/10 = 7/10, which can be rounded to 1

1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10, 1

As you can see, 7/10 is very close to 1.

Hope this helps!

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Dew help me please come on
adell [148]

Answer:

75c-180

420 for 8 customers

Step-by-step explanation:

Her tools cost her 180

-180

she makes 75 per customer

75c

She will make

75c-180

She gets 8 customers

75(8)-180

600-180

420

7 0
4 years ago
Find the point estimate for the true difference between the given population means. Round your answer to three decimal places.
uranmaximum [27]

Answer:

Point Estimate for different between population means = - 0.99

Step-by-step explanation:

We are given data of two samples and we have to find the best point estimate of the true difference between two population means. Remember that in absence of data about population the best estimator is the sample data. So, we will find the means of both sample data and find the difference of that means. This difference between the means of sample data will be the best point estimate for the true difference between the population means.

Formula to calculate the mean is:

Mean=\frac{\text{Sum of Values}}{\text{Number of Values}}

Mean of Sample 1:

Mean=\frac{1414}{11}=128.55

Mean of Sample 2:

Mean=\frac{1684}{13}=129.54

Therefore the best point estimate for difference between two population means would be = Mean of Sample 1 - Mean of Sample 2

= 128.55 - 129.54

= - 0.99

8 0
3 years ago
Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s
Nataliya [291]

Answer:

f(x)=\frac{1}{2}x^2-4x+5

Step-by-step explanation:

A parabola is written in the form

f(x)=a((x-h)^2+k) (1)

where:

h is the x-coordinate of the vertex of the parabola

ak is the y-coordinate of the vertex of the parabola

a is a scale factor

For the parabola in the problem, we know that the vertex has  coordinates (4,-3), so we have:

h=4 (2)

ak=-3

From this last equation, we get that a=\frac{-3}{k} (3)

Substituting (2) and (3) into (1) we get the new expression:

f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3 (4)

We also know that the parabola  contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6

So we also get:

a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}

So the equation of the parabola is:

f(x)=\frac{1}{2}((x-4)^2 -6) (5)

Now we want to rewrite it in the standard form, i.e. in the form

f(x)=ax^2+bx+c

To do that, we simply rewrite (5) expliciting the various terms, we find:

f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5

6 0
3 years ago
The histogram shows the scores of each participant in a game for a total of 100 participants. What is the ratio of participants
riadik2000 [5.3K]
10/002728182.2777272829 error
8 0
3 years ago
Find the value of this expression if x=5
Nastasia [14]

so, uh, i think the answe is actually 5. Since 5^2 is 25, minus 5 is 20, and 5 minus 1 is 4, 20 divided by 4 is 5. i hope that helps.

4 0
3 years ago
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