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11 days ago

10

Write an expression involving integers for each statement a) moving 4 steps left, then moving 9 steps right b) on 3 separate occ

asions, Shari lost 2 pencils

1 answer:

tester [11.9K]11 days ago

3 0

Response:

a) x-4+9

b) x-2

I'm fairly confident about my response to part a, but not entirely sure regarding part b.

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Consider △LNM. Triangle L M N is shown. Angle N M L is a right angle. Which statements are true for triangle LNM? Check all that

AnnZ [11902]

The side opposite angle ∠L is named NM. The side opposite angle ∠N is named ML, while the hypotenuse is LN. To clarify, drawing even a rough sketch could assist in understanding this (see attached). Generally, a side across from an angle will not share the same designation as that angle. Conversely, a side adjacent to the angle will include the corresponding angle letter. Valid statements include: NM is opposite ∠L; ML is opposite ∠N; and LN serves as the hypotenuse (across from the right angle M).

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17 days ago

Read 2 more answers

Algebra There were 4 times the number of students in fourth grade at the basketball game.How many students attended the basketba

babunello [11306]

Answer:

A total of 200 students were present at the basketball game

Step-by-step explanation:

Refer to the full question shown in the attached figure

Let

x be the total number of fourth graders

y represent the total attendees at the game

It is known that

The number of game attendees is four times the number of fourth graders

Thus

The linear expression is

$s=4x$ -----> equation A

$x=50\ students\ in\ fourth\ grade$ -----> equation B

Replace equation B into equation A and solve for y

$s=4(50)$

$s=200\ students\ at\ the\ basketball\ game$

Therefore

200 students were present at the basketball event

8 0

25 days ago

An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

Zina [11989]

Answer:

The chance that there is one or more defective integrated circuits is 33.10%.

Detailed solution:

Each integrated circuit can be either defective or not, which provides only two possible outcomes. As a result, this scenario is well-suited to be analyzed using the binomial probability distribution.

About the binomial distribution

This distribution calculates the likelihood of exactly x successes in n repeated trials where each trial has two possible results.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

Here, $C_{n,x}$ represents the count of combinations of x items selected from n elements, described by the formula:

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

And $\pi$ is the probability of the event X occurring.

Applying it to the problem

The product contains 40 integrated circuits, so $n = 40$ .

The probability that an individual integrated circuit is defective is 0.01, so $\pi = 0.01$ .

Finding the probability of at least one defective circuit

There are two cases: either at least one integrated circuit is defective (probability $P(X > 0)$ ) or none are defective (probability $P(X = 0)$ ). Since probabilities sum to 1, we want to determine $P(X>0)$ .

$P(X > 0) + P(X = 0) = 1$

$P(X > 0) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{40,0}.(0.01)^{0}.(0.99)^{40} = 0.6690$

$P(X > 0) = 1 - P(X = 0) = 1 - 0.6690 = 0.3310$

Hence, the probability of having one or more defective integrated circuits is 33.10%.

3 0

1 month ago

Read 2 more answers

L'età media di Aldo, Bruno, Carlo e Davide è 16 anni. Se non si tiene conto di Davide, l'età media dei tre rimanenti sale a 18.

AnnZ [11902]

Answer:

Davide is 10 years old.

L'età di Davide è 10.

Step-by-step explanation:

The average ages of Aldo, Bruno, Carlo, and Davide amount to 16 years.

Let’s denote:

x for Aldo's age.

y for Bruno's age.

z for Carlo's age.

w for Davide's age.

The average for all four is 16 years.

This gives us:

$16 = \frac{x + y + z + w}{4}$

$x + y + z + w = 64$

Excluding Davide, the average age of the other three is 18. Therefore:

$18 = \frac{x + y + z}{3}$

$x + y + z = 54$

Substituting into the original equation:

$x + y + z + w = 64$

$54 + w = 64$

$w = 10$

Hence, Davide’s age is indeed 10.

L'età di Davide è 10.

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1 month ago

Cullen is 10 years younger than Ada. The product of their ages 2 years ago was 39.

Inessa [12141]

Answer:

15

Step-by-step explanation:

8 0

24 days ago