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DIA [1.3K]
3 years ago
14

The fourth graders at Good Cheer Elementary School collected 500 cans of food to donate to groups in need. if they choose 3 diff

erent groups to donate the food to, about how many cans will each group receive?
Mathematics
1 answer:
mariarad [96]3 years ago
8 0
Eavh group would recieve about 170 cans
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Jay is letting her bread dough rise. After three hours, her bread dough is \dfrac{11}{5} 5 11 ​ start fraction, 11, divided by,
timama [110]

Answer:

Jay's bread size is 220% of the original size.

Step-by-step explanation:

The question is incomplete.

The complete question is as follows.

Jay is letting her bread rise. After 3 hours,her bread is at 11/5 of its original size. What percent of its original size is jays bread dough?

Solution:

Let the original bread size be = 100 units

After 3 hours the bread rises = \frac{11}{5} of the original size

New size of bread =  \frac{11}{5}\times 100=220 units

Percent of original size the new bread is

⇒ \frac{New\ bread\ size}{Original\ bread\ size}\times 100

⇒ \frac{220}{100}\times100

⇒ 220\%

6 0
3 years ago
Amy reached into a bag, recorded the color of the tile she picked, returned the tile and drew again. These are the tiles she has
Vedmedyk [2.9K]

Answer:

(a) P(next ball with blue) =  \frac{3}{10}       (b)  P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c)  P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

Step-by-step explanation:

Given that,

The total outcomes of the color of tile are :-

Red , Red, Blue, Yellow, Blue, Red, Green, Red, Blue, Green.

From the Question,

Total number of outcomes = 10

(a) What is the probability that her next draw will be blue ?

        Red = 4,

        Blue = 3,

        Green = 2,

        Yellow = 1.

   P(next ball with blue) =  \frac{3}{10}.

(b) What is the probability that her next draw will NOT be red?

    P(Red ball) =  \frac{4}{10} = \frac{2}{5}

But we have to find

   P(Not to be red) = 1-\frac{2}{5} =\frac{3}{5}

(c) If Amy draws 70 more times with the same tiles from the question above, what probability would you expect a yellow?

  P(Yellow ball) =  \frac{1}{10}

drawing it 70 times we get the probability

   P(drawing 70 times yellow ball) = \frac{1}{10} \times 70 = 7.

5 0
3 years ago
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
Vera_Pavlovna [14]

Split up the integration interval into 4 subintervals:

\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]

The left and right endpoints of the i-th subinterval, respectively, are

\ell_i=\dfrac{i-1}4\left(\dfrac\pi2-0\right)=\dfrac{(i-1)\pi}8

r_i=\dfrac i4\left(\dfrac\pi2-0\right)=\dfrac{i\pi}8

for 1\le i\le4, and the respective midpoints are

m_i=\dfrac{\ell_i+r_i}2=\dfrac{(2i-1)\pi}8

  • Trapezoidal rule

We approximate the (signed) area under the curve over each subinterval by

T_i=\dfrac{f(\ell_i)+f(r_i)}2(\ell_i-r_i)

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4T_i\approx\boxed{3.038078}

  • Midpoint rule

We approximate the area for each subinterval by

M_i=f(m_i)(\ell_i-r_i)

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4M_i\approx\boxed{2.981137}

  • Simpson's rule

We first interpolate the integrand over each subinterval by a quadratic polynomial p_i(x), where

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

so that

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx

It so happens that the integral of p_i(x) reduces nicely to the form you're probably more familiar with,

S_i=\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{r_i-\ell_i}6(f(\ell_i)+4f(m_i)+f(r_i))

Then the integral is approximately

\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4S_i\approx\boxed{3.000117}

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

3 0
3 years ago
Simplify. (x^3 +8 ) / (x+2) <br>show work
Zielflug [23.3K]

Answer:

3x2|9x+18|+8|9x+18|3x2|9x+18|+8|9x+18|

5 0
2 years ago
HELP!!!! THIS IS DUE TOMORROW:(((
Verdich [7]
This is actually really simple algebra. All you need to know is that Y= Mx + B 
and M BEING YOUR SLOPE good luck

6 0
3 years ago
Read 2 more answers
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