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3 years ago

5

students collected 600 cans for the canned food drive.That was 80% of their goal.How many more cans do they need to reach their

goal

1 answer:

algol133 years ago

6 0

Answer:

C = 75.

Step-by-step explanation:

Set up our eq:

600 x

___ = ___

80 100

Cross multiply:

6 x 10 = 60 (add two zero's) = 6000

now, 80 * x. 80x

Now we divide:

6000

_____

80

C = 75

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A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.

AysviL [449]

Answer:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X= 0.996$ the sample mean

$s=0.004$ the sample deviation

$n =25$ the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

We can use as estimator of the real population deviation the sample deviation for this case $\hat \sigma = s$ / The critical value for 99% of confidence interval is given by $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

6 0

3 years ago

!!Plz urgent help!!

Firdavs [7]

Answer:

890 beads can be fitted in the triangular prism.

Step-by-step explanation:

If we can fill the spherical beads completely in the triangular prism,

Volume of the triangular prism = Volume of the spherical beads

Volume of triangular prism = Area of the triangular base × Height

From the picture attached,

Area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(AB)(BC)$

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

(13)² = 5² + BC²

169 = 25 + BC²

BC² = 144

BC = 12

Area of the triangular base = $\frac{1}{2}(5)(12)$

= 30 cm²

Height of the triangular prism = 18 cm

Volume of the triangular prism = 30 × 18

= 540 cm³

Volume of one spherical bead = $\frac{4}{3}\pi r^{3}$

= $\frac{4}{3}\pi (0.525)^{3}$

= 0.606 cm³

Let there are 'n' beads in the triangular prism,

Volume of 'n' beads = Volume of the prism

540 = 0.606n

n = 890.90

n ≈ 890

Therefore, 890 beads can be fitted in the triangular prism.

3 0

3 years ago

How to find surface area of prisms

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

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2 years ago

Solve the following system. y = (1/2)x 2 + 2x - 1 and 3x - y = 1 The solutions are ( )and ( ) (remember to include the commas)

frozen [14]

$\begin{cases}y=\dfrac{1}{2}x+2x-1\\3x-y=1\end{cases}\\\\\\
\begin{cases}y=\dfrac{5}{2}x-1\3x-y=1\end{cases}\\\\\\
3x-\left(\dfrac{5}{2}x-1\right)=1\\\\3x-\dfrac{5}{2}x+1=1\\\\
3x-\dfrac{5}{2}x=0\\\\\dfrac{x}{2}=0\\\\x=0\\\\3\times0-y=1\\0-y=1\\y=-1\\\\\boxed{(x,y)=(0,-1)}$

<span>The solutions are (0) and (-1)</span>

8 0

3 years ago

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There are 7 bananas, 10 oranges, and 5 apples and 5 apples in the fruit bowl. What is the ratio of bananas to fruit?

steposvetlana [31]

Answer:

5:27

Step-by-step explanation:

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