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3 years ago

13

what is 1+1? My daughters teacher said the answer wasn't 2 when she wrote it on her worksheet. please help a parent out!! maybe

it's a trick question??

1 answer:

nikdorinn [45]3 years ago

8 0

Answer:

2

Step-by-step explanation:

Maybe they got confused or could not read her handwriting well because im pretty sure it is 2

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A pool at a park takes up an area of 540 square yards. The lengthier 1 2/3 times as long as the width. What are the dimensions o

yarga [219]

Xy= 540
y= 5x/3
x(5x/3)=540
5x^2/3=540
1630=5x^2
x=sqrt(1620/5) = sqrt(324)= 18
x= 18yd
y=30yd

answer: 18 x 30 yards

6 0

3 years ago

What is 3√25 - √9 expressed in simplified form?<br> 12<br> 15<br> 66<br> 72

tigry1 [53]

A number outside of the square root symbol is actually multiplied by the square root of the number under the symbol. 25 and 9 are considered perfect squares because a number multiplied by itself goes evenly into each without any remainders.

=3√25 - √9
take the square root of 25 and 9

=3(5) - 3
multiply 3*5

=15 - 3
=12

ANSWER: 12 (first choice)

Hope this helps! :)

7 0

3 years ago

Matt has $550 in his savings account. He is eager to know how much interest the bank will pay him for the whole year. He knows t

Mekhanik [1.2K]

Nice story.

We suppose the question is, "what is the amount of interest Matt will be paid?"

The formula that applies is
I = Prt
I = $550*0.03*1 = $16.50

Matt will be paid $16.50 in interest for the year.

3 0

4 years ago

What is the volume of the cone?

Pavlova-9 [17]

Answer:

$Volume = 1017.36\ in^3$ -- Cone

$Volume = 3052.08\ in^3$ -- Cylinder

$Volume = 3052.08\ in^3$ -- Sphere

<em>Best Buy: Sphere Clay</em>

Step-by-step explanation:

Given

Solid Shapes: Cone, Cylinder, Sphere

Cost of Cone Clay = $12

Cost of Cylinder Clay = $30

Cost of Sphere Clay = $28

Required

Determine the volume of each shape

Which is the best buy

<h2>CONE</h2><h3>Calculating Volume</h3>

The volume of a cone is calculated as thus;

$Volume = \frac{1}{3}\pi r^2h$

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = \frac{1}{3} * 3.14 * 9^2 * 12$

$Volume = \frac{3052.08}{3}$

$Volume = 1017.36\ in^3$

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 1017.36\ in^3$

$Total\ Cost = \$12$ (Given)

$Volume:Price = \frac{1017.36\ in^3}{\$ 12}$

$Volume:Price = 84.78 in^3/\$$

$Volume:Price = 84.78 in^3:\$1$

<h2>CYLINDER</h2><h3>Calculating Volume</h3>

The volume of a cylinder is calculated as thus;

$Volume = \pi r^2h$

From the attached diagram

Radius, r = 9 inches; Height, h = 12 inches and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = 3.14 * 9^2 * 12$

$Volume = 3052.08\ in^3$

<h3>Calculating Volume:Price Ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 3052.08\ in^3$

$Total\ Cost = \$30$ (Given)

$Volume:Price = \frac{3052.08\ in^3}{\$ 30}$

$Volume:Price = 101.736\ in^3/\$$

$Volume:Price = 101.736\ in^3:\$1$

<h2>SPHERE</h2><h3>Calculating Volume</h3>

The volume of a sphereis calculated as thus;

$Volume = \frac{4}{3}\pi r^3$

From the attached diagram

Radius, r = 9 inches; and $\pi = 3.14$

Substitute these values in the above formula;

$Volume = \frac{4}{3} * 3.14 * 9^3$

$Volume = \frac{9156.24}{3}$

$Volume = 3052.08\ in^3$

<h3>Calculating Volume-Price ratio</h3>

The unit cost of the cone is calculated as thus;

$Volume:Price = \frac{Volume}{Total\ Cost}$

Where

$Volume = 3052.08\ in^3$

$Total\ Cost = \$28$ (Given)

$Volume:Price = \frac{3052.08\ in^3}{\$ 28}$

$Volume:Price = 109.003\ in^3/\$$

$Volume:Price = 109.003\ in^3:\$1$

Comparing the Volume:Price ratio of the three clay;

<em>The best buy is the sphere because it has the highest volume:price ratio.</em>

<em>Having the highest volume:price ratio means that with $1, one can get more clay from the sphere compared to other types of clay</em>

3 0

3 years ago

A class with n kids lines up for recess. The order in which the kids line up is random with eachordering being equally likely. T

Elis [28]

Answer:

A) P(Betty is first in line and mary is last) = P(B₁) + P(Mₙ) - (P(B₁) × P(Mₙ/B₁))

B) The method used is Relative frequency approach.

Step-by-step explanation:

From the question, we are told a sample of n kids line up for recess.

Now, the order in which they line up is random with each ordering being equally likely. Thus, this means that the probability of each kid to take a position is n(total of kids/positions).

Since we are being asked about 3 kids from the class, let's assign a letter to each kid:

J: John

B: Betty

M: Mary

A) Now, we want to find the probability that Betty is first in line or Mary is last in line.

In this case, the events are not mutually exclusive, since it's possible that "Betty is first but Mary is not last" or "Mary is last but Betty is not first" or "Betty is the first in line and Mary is last". Thus, there is an intersection between them and the probability is symbolized as;

P(B₁ ∪ Mₙ) = P(B₁) + P (Mₙ) - P(B₁ ∩ Mₙ) = P(B₁) + P(Mₙ) - (P(B₁) × P(Mₙ/B₁))

Where;

The suffix 1 refers to the first position while the suffix n refers to the last position.

Also, P(B₁ ∩ Mₙ) = P(B₁) × P(Mₙ/B₁)

This is because the events "Betty" and "Mary" are not independent since every time a kid takes his place the probability of the next one is affected.

B) The method used is Relative frequency approach.

In this method, the probabilities are usually assigned on the basis of experimentation or historical data.

For example, If A is an event we are considering, and we assume that we have performed the same experiment n times so that n is the number of times A could have occurred.

Also, let n_A be the number of times that A did occur.

Now, the relative frequency would be written as (n_A)/n.

Thus, in this method, we will define P(A) as:

P(A) = lim:n→∞[(n_A)/n]

7 0

3 years ago