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damaskus [11]
1 year ago
8

Divide the 30x40 rectangle into 10 by 10 squares of 100

Mathematics
2 answers:
kolbaska11 [484]1 year ago
4 0

Answer:

12 squares

Step-by-step explanation:

Data provided:

Dimension of the rectangle = 30 × 40

Area of the rectangle = 30 × 40 = 1200

Dimension of the area to be divided = 10 × 10

Thus,

Area of the square to be divided into = 100

Therefore,

The number of square in which it can be divided

= \frac{\textup{Total area of the rectangle}}{\textup{Area of the square}}

= \frac{\textup{1200}}{\textup{100}}

= 12

Hence,

It can be divided in 12 squares

vladimir2022 [97]1 year ago
4 0

30/10= 3

40/10=4

3*4 = 12

Total 12

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The equation formula is y - y1 = m(x-x1)

Using the first point for x1, y1:

Y +13 = m(x-15)

M is the slope which is the change in y over the change in x:

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The equation becomes y +13 =2(x+15)

The answer is:

He incorrectly wrote the slope in his equation. He should have written y+13=2(x−15).

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A store manager records the total visitors and sales, in dollars, for 10 days. The data is shown in the scatter plot. What concl
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Answer:An increase in visitors is correlated with an increase in sales.

Step-by-step explanation:

From the given scatter plot we can see that variables are positively correlated  because they are moving in the same direction.

Since we know that the positive correlation is a relationship between two variables such that they increase or decrease together.

Since, the two variables given her is " number of visitors" and "Total sales"

Therefore, based on the given data it can be observed that "An increase in visitors is correlated with an increase in sales."

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2 years ago
The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In
Mila [183]

Answer:

  • <u><em>Option b. just below 30%</em></u>

<u><em></em></u>

Explanation:

Please, see attached the <em>histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. </em>

<em />

The<em> median</em> is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the<em> frequency</em> or number of business school for that acceptace rate:

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Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25  ≤ rate < 30.

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How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner
Liula [17]

Answer:

The 95% confidence interval would be given by (14444.04;33657.30)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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

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Data: $26,650 $6,060 $52,820 $8,490 $13,660$25,840 $49,840 $23,790 $51,480 $18,960$990 $11,450 $41,810 $21,060 $7,860

We can calculate the mean and the deviation from these data with the following formulas:

\bar X= \frac{\sum_{i=1}^n x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}

\bar X=24050.67 represent the sample mean for the sample  

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s=17386.13 represent the sample standard deviation

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The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=15-1=14

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,14)".And we see that t_{\alpha/2}=2.14

Now we have everything in order to replace into formula (1):

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So on this case the 95% confidence interval would be given by (14444.04;33657.30)    

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Answer: Ball's kinetic energy became potential energy

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The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.

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