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iren [92.7K]
3 years ago
7

Simplify 24/60 answer this plz

Mathematics
1 answer:
solniwko [45]3 years ago
8 0
24 ÷12 → 2

60 ÷ 12 → 5 

Therefore, your answer is \frac{2}{5}

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You plant a rectangular rose garden along the side of your garage. You enclose 3 sides of the garden with 40 feet of fencing. Th
solmaris [256]

Let's assume

length of rectangle =L

width of rectangle =W

You enclose 3 sides of the garden with 40 feet of fencing

so, we get

L+2W=40

now, we can solve for L

L=40-2W

we know that

area of rectangle is

A=L*W

100=L*W

now, we can plug

100=(40-2W)*W

now, we can solve for W

-2W^2+40W-100=0

we can use quadratic formula

W=\frac{-40+\sqrt{40^2-4\left(-2\right)\left(-100\right)}}{2\left(-2\right)}

W=\frac{-40-\sqrt{40^2-4\left(-2\right)\left(-100\right)}}{2\left(-2\right)}

we can take anyone value ..because both are giving positive value

first dimensions:

W=2.929

now, we can find L

L=40-2*2.929

L=34.142

so, length is 34.142feet

width is 2.929 feet

Second dimensions:

W=17.071

now, we can find L

L=40-2*17.071

L=5.858

so, length is 5.858feet

width is 17.071 feet



6 0
3 years ago
How does the ratio of surface area to volume change as the shapes get smaller
svet-max [94.6K]
The ratio of the surface area to the volume will decrease
3 0
3 years ago
Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t
alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

6 + 6 = 12 seeds, which means that N = 12

6 treated, which means that k = 6

Five sprouted, which means that n = 5

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076

0.0076 = 0.76% probability that all five plants emerged from treated seeds

3 0
3 years ago
____ two points are collinear
kaheart [24]
Any... That would be the answer
8 0
3 years ago
Read 2 more answers
Consider quadrilateral WXYZ.
gizmo_the_mogwai [7]

Answer:

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent

Step-by-step explanation:

<em>The parallelogram has the following properties:</em>

  • <em>Opposite sides are parallel by definition.</em>
  • <em>Opposite sides are congruent.</em>
  • <em>Opposite angles are congruent.</em>
  • <em>Consecutive angles are supplementary.</em>
  • <em>The diagonals bisect each other.</em>

A. The figure is a parallelogram because there are two pairs of congruent sides.

- no

B. The figure is a parallelogram because a diagonal is bisected.

- no

C. The figure is not necessarily a parallelogram because the diagonals are not congruent.

-no

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.

-yes

6 0
3 years ago
Read 2 more answers
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