Ask question

Ask question

All categories

2 years ago

11

On Tuesday, 448 school children took a field trip to the science museum. All of the children rode on buses that held 32 students

each. About how many buses were used to transport the children to the science museum?

2 answers:

Serjik [45]2 years ago

6 0

14 buses because 448/32 is 14

GenaCL600 [577]2 years ago

4 0

About 448/32 = 14 buses

You might be interested in

David received his allowance on Sunday. He spends 1/4 of his allowance on Monday and 2/3 of the remainder on Tuesday. What part

Marianna [84]

Answer:1/12 left

Step-by-step explanation: you should switch both into the same denominator for the fractions so that would turn into 3/12 and 8/12 then add them up to get 11/12 so he has 1/12 left

3 0

2 years ago

Find the correlation coefficient of the line of best fit for the points (-3,-40), (1,12), (5,72), (7,137). Explain how you guy y

vodka [1.7K]

Answer:

r = 0.9825; good correlation.

Step-by-step explanation:

One formula for the correlation coefficient is

$r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{n\left [\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}$

The calculation is not difficult, but it is tedious.

1. Calculate the intermediate numbers

We can display them in a table.

<u> </u><u>x</u> <u> y </u> <u> xy </u> <u> x² </u> <u> y² </u>

-3 -40 120 9 1600

1 12 12 1 144

5 72 360 25 5184

<u> 7</u> <u>137</u> <u> 959</u> <u>49</u> <u>18769 </u>

Σ = 10 181 1451 84 25697

2. Calculate the correlation coefficient

$r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}\\\\= \dfrac{4\times 1451 - 10\times 181}{\sqrt{[4\times 84 - 10^{2}][4\times25697 - 181^{2}]}}\\\\= \dfrac{5804 - 1810}{\sqrt{[336 - 100][102788 - 32761]}}\\\\= \dfrac{3994}{\sqrt{236\times70027}}\\\\= \dfrac{3994}{\sqrt{16526372}}\\\\= \dfrac{3994}{4065}\\\\= \mathbf{0.9825}$

The closer the value of r is to +1 or -1, the better the correlation is. The values of x and y are highly correlated.

3 0

2 years ago

After simplifying, which expressions are equivalent? Select three options.

Wewaii [24]

Answer: Second option, third option and fifth option.

Step-by-step explanation:

In order to solve this exercise it is important to remember the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

Knowing that, you can distribute the sign and add the like terms. Repeat this procedure in each expression given in the exercise.

Therefore, you get:

$a.\ (3.4a - 1.7b) + (2.5a - 3.9b)=3.4a - 1.7b + 2.5a - 3.9b=5.9a-5.6b\\\\b.\ (2.5a + 1.6b) + (3.4a + 4b)=2.5a + 1.6b + 3.4a + 4b=5.9a+5.6b\\\\c.\ (-3.9b + a) + (-1.7b + 4.9a)=-3.9b + a -1.7b + 4.9a=5.9a-5.6b\\\\d.\ -0.4b +(6b - 5.9a)=-0.4b +6b - 5.9a=6b-6.3a\\\\e.\ 5.9a - 5.6b$

You can identify that the expressions $(2.5a + 1.6b) + (3.4a + 4b)$ , $(-3.9b + a) + (-1.7b + 4.9a)$ and $5.9a - 5.6b$ are equivalent after simplifying.

6 0

2 years ago

Read 2 more answers

The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is

vladimir2022 [97]

Answer:

A

Step-by-step explanation:

5 0

2 years ago

The owner of a bike shop sells tricycles (3 wheels) and bicycles (2 wheels), keeping inventory by counting seats and wheels. One

Andreyy89

T + b = 13...this is the seats....the number of trike seats + bike seats = 13
3t + 2b = 31....this is the wheels....number of trikes with 3 wheels + number of bikes with 2 wheels = 31 wheels

ur answer is A

5 0

2 years ago

Read 2 more answers