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4 years ago

How is estimating the quotient help you place the first digit in the quotient of a division problem

Mathematics

2 answers:

Greeley [361]4 years ago

6 0

By knowing , finding out the answer or calculating.

Elis [28]4 years ago

5 0

You can use many different strategies to find the answer to a division problem. One strategy is to use repeated subtraction. To find 123 ÷ 36, think: How many groups of 36 are there in 123? Start with 123. Subtract 36 repeatedly. Count how many times you subtracted: 123 − 36 = 87 (1); 87 − 36 = 51 (2); 51 − 36 = 15 (3); 15 < 36. There are 3 groups of 36 in 123 with 15 left over. Therefore, 123 ÷ 36 = 3 R15.

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3. Every morning, Matthew fills his dog’s water dish with 16 oz of water. If his dog

VikaD [51]

His dog will drink 112oz a week
It is 14 cups
It is 5.81 pints
It is 3.5 quarts

6 0

2 years ago

What is your favorite anime of all time? Mine's is One Piece and it is a really goated.

yarga [219]

Answer:

i dont really have a favorite but i like naruto, haikyu nd a few others but i dont remember them.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Jeffrey went to the Outlets to buy some clothes. He bought a pair of pants for $59.99 and a nice shirt for $32.00. He read a sig

atroni [7]

Answer: 64.39 dollars

==========================================================

Explanation:

Before the discount, he would spend 59.99+32 = 91.99 dollars. This is before sales tax is added.

However, he gets 30% off, so he saves 0.30*91.99 = 27.597 = 27.60 dollars.

Meaning that he actually spends 91.99 - 27.60 = 64.39 dollars

--------------

As a shortcut, we can multiply 91.99 by 0.70 to get 64.393 which rounds to 64.39

The 0.70 is due to the fact that if he saves 30%, then he still has to pay the remaining 70%

Keep in mind that sales tax would need to be added on; however, your teacher doesn't mention the sales tax rate.

5 0

3 years ago

Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).

marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

$A=\frac{3\sqrt{3}}{2} a^2$

Where $A$ is the area of the regular hexagon

$a$ is the side length of the regular hexagon

Also, it's Perimeter is given by:

$P=6a$

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Where $d$ is the distance.

$(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance $d$ )

Applying the above formula we get:

$d=\sqrt{(8-4)^2+(0-0)^2} =\sqrt{4^2}=4$

$\therefore d=4$

We know that this distance is the side length of the given regular hexagon.

$\therefore d=a=4$

Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

$a_{small}=4-\frac{40}{100}\times 4=2.4$

Thus, the area of the smaller hexagon will be:

$A_{small}=\frac{3\sqrt{3}}{2} a_{small}^2=\frac{3\sqrt{3}}{2} (2.4)^2\approx14.96$ unit squared

and the new smaller perimeter will be:

$P_{small}=6a_{small}=6\times 2.4=14.4$ unit

Which are the required answers.

5 0

3 years ago

A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I

Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 115, \sigma = 17$