Which expression is equivalent to 3/5 divided by 7/9

Here is a picture that shows one side of a child's wooden block with a semicircle cut out at the bottom. What is the area of the

ehidna [41]

Answer:

30.7 cm² (nearest tenth)

Step-by-step explanation:

Area of the wooden block = area of rectangle - area of semi-circle

Area of Rectangle = length × width

Length = 9 cm

Width = 4.5 cm

Area of rectangle = 40.5 cm²

Area of semi-circle = ½(πr²)

Radius (r) = ½ of diameter = ½*5 = 2.5 cm

π = 3.14

Area of semi-circle = ½(3.14*2.5²)

Area of semi-circle = 9.8125 cm²

✅Area of the wooden block = 40.5 - 9.8125 = 30.7 cm² (nearest tenth)

7 0

2 years ago

At UF, there are always a few days between the end of classes and the beginning of final exams. These days are meant as a study

Natalija [7]

Answer:

This sample is not representative of all UF students, since those who are not local are not considered.

Step-by-step explanation:

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

However, the sample has to be representative

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected Buffalo residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents. This is not representative of all New York State residents, just Buffalo residents.

In this problem, we have that:

They conduct a phone survey (with local numbers selected at random from the student directory) calling people during "dead week". Will this sample be representative of all UF students?

They only call those students with local numbers.

However, in an university, it is expected that there will be a good percentage of non local students.

So this sample is not representative of all UF students, since those who are not local are not considered.

8 0

2 years ago

Find the dicontinuities of the function. f(x) = x2 + 12x + 27 x2 + 4x + 3 . There is a removable discontinuity at (, ).

ValentinkaMS [17]

Solution-

$f(x)=\frac{x^{2}+12x+27 }{x^{2} +4x+3} =\frac{x^{2}+9x+3x+27 }{x^{2} +3x+x+3}=\frac{(x+3)(x+9)}{(x+3)(x+1)}$

Equating the denominator to 0,

⇒ (x+3)(x+1) = 0

⇒ x= -3, -1

∴ Discontinuities of the function f(x) is at -3, -1

As (x+3) is also a factor of the numerator, you will have what's called a removable discontinuity. That will show up as a hole in the graph.

∴ At x = -3, you will have removable discontinuity.

4 0

2 years ago

Read 2 more answers

The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides does the polygon have? please answer

ahrayia [7]

Answer:

10

Step-by-step explanation:

We know that interior plus exterior angles add to 180.

1/5 of 180 = 36

36 degrees = exterior angles

180-36=interior angles

180-36=144

To find the number of sides of a polygon you have to do 360/exterior angles

360/36=10

6 0

2 years ago

A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When

Tanya [424]

Answer:

$ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434$

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

$\hat p = \frac{24}{250}= 0.096$

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.33$

And the margin of error would be:

$ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434$

4 0

2 years ago