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3 years ago

Walter needs 40 feet of cable to help secure the backyard tree house that he made for

Mathematics

1 answer:

shutvik [7]3 years ago

5 0

Answer:

Store B

$3.20

Step-by-step explanation:

Store A:

$1.10(40)=$44

Store B:

first let's convert yards to feet

3ft=1yard

$3.06/3=$1.02 per foot

$1.02(40)=$40.80

You would save more by shopping at Store B

to find savings: Store A - Store B= $44-$40.80=$3.20

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In an isosceles triangle, how do you prove the base angles are congruent?

ladessa [460]

Answer:

You prove the base angles are congruent by constructing the angle bisector through the vertex angle of an isosceles triangle. By constructing the angle bisector, we designed two congruent triangles and then used CPCTC to show that the base angles are congruent.

Step-by-step explanation:

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4 years ago

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(when u solved it, can u show me how you got the answer because my teacher wants us the show the work as well)

Flura [38]

Answer 243mm^2

Explanation:
I first split the shape into two smaller shapes. Then I found those two areas and added them! (18x12)+(9x3)=243

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3 years ago

Two students in your class, Hunter and Maggie, are disputing a function. Hunter says that for the function, between x = −2 and x

dangina [55]

So basically, if it goes up then back down to the same level, the change is 0 since it is like, running 100 feet west, then running 100 feet east, you are at your original spot, your positino did not change

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3 years ago

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A stack of cards consists of seven red and four blue cards. A second stack of cards consists of eleven red cards. A stack is sel

Ann [662]

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses 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 sucesses.

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.

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

Conditional probability:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that $N = 11$ .

7 red, which means that $k = 7$

3 are chosen, which means that $n = 3$

We want all red, so we find P(X = 3).

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

$P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121$

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

$P(A) = 0.2121*0.5 + 1*0.5 = 0.60605$

Probability of all red cards and from the first stack:

0.21 of 0.5. So

$P(A \cap B) = 0.21*0.5 = 0.105$

What is the probability the first stack was selected?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733$

0.1733 = 17.33% probability the first stack was selected.

4 0

3 years ago

should insurance companies be required to take anybody into the risk pool? What happens if all insurance companies refuse to ins

snow_tiger [21]

Answer:

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Step-by-step explanation:

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3 years ago