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Yakvenalex [24]
3 years ago
8

Apples lose 75% of their weight during drying. How many pounds of fresh apples do you need to pick in order to get 150 lb of dri

ed apples?
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0
Since apples lose 75% of their weight, that means 150 lbs = 25% of fresh apples. 25% = 1/4, so the equation is 150/(1/4) = 150*4 = 600 lbs
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A recipe for salad dressing uses 60mL of vinegar for 240mL of oil. Emily has 40mL of vinegar,how much should she use? Show your
soldier1979 [14.2K]

Answer:

Emily should use 160mL of oil

Step-by-step explanation:

If you only have 40mL of vinegar you would have to cut the recipe by 1.5

60/1.5=40

240/1.5=160

4 0
3 years ago
Aaron made a picture frame with the dimensions shown in the figure. What is the area of the picture frame? 120 square centimeter
Temka [501]
72 square centimeters because 
<span>(12×10)−(8×6)</span>
<span>120−48</span>
<span>72</span>
7 0
3 years ago
Read 2 more answers
Describe the sequence of transformations for which Triangle B is the image of Triangle A.
Helga [31]

Answer:

  • reflection in x = 1
  • translation up 2

Step-by-step explanation:

The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.

The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.

The reflection on x=1 and translation up 2 can be done in either order.

_____

<em>Additional comment</em>

A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.

7 0
3 years ago
Read 2 more answers
Find the area A of triangle JKL with the vertices J(5,8), K(0,7), and L(5,4)
eimsori [14]

Answer:

Area of the triangle is 10 square units

Step-by-step explanation:

Recall that the formula for the area of a triangle is: "base x height / 2", and  in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:

Area = 4 x 5 / 2 = 10 square units.

5 0
3 years ago
For each given p, let ???? have a binomial distribution with parameters p and ????. Suppose that ???? is itself binomially distr
pshichka [43]

Answer:

See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables X_i with the following distribution:

X_i Bin (1,p) = Be(p) bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:

Z = \sum_{i=1}^N X_i

From the info given we know that N \sim Bin (M,q)

We need to proof that Z \sim Bin (M, pq) by the definition of binomial random variable then we need to show that:

E(Z) = Mpq

Var (Z) = Mpq(1-pq)

The deduction is based on the definition of independent random variables, we can do this:

E(Z) = E(N) E(X) = Mq (p)= Mpq

And for the variance of Z we can do this:

Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2

Var(Z) =Mpq [p(1-p)] + Mq(1-q) p^2

And if we take common factor Mpq we got:

Var(Z) =Mpq [(1-p) + (1-q)p]= Mpq[1-p +p-pq]= Mpq[1-pq]

And as we can see then we can conclude that   Z \sim Bin (M, pq)

8 0
3 years ago
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