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klio [65]
3 years ago
14

How does the number line below represent the product of a positive number and a negative number? Drag words and numbers to expla

in. Each tile may be used once, more than once, or not at all. A number line from negative 5 to 0. Start at 0. Count back three times, each time by negative 1 point 5. End at negative 4 point 5. – 1.5– 3– 4.5positivenegative The number line shows 3 • = – 4.5. The number line shows three groups of a number, which results in a product.
Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.

To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have

–1 –1

–1 –1

–1 –1

Two groups of negative one in three's, adding that up we have 6.

Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.

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Which term of series1 +4+7+10+...is43
Jlenok [28]

Answer:

a = 4

d = a2 - a1

d = 7 - 4

d = 3

an = 43

an = a + (n - 1)d

43 = 4 + (n - 1) 3

43 = 4 + 3n - 3

43 = 1 + 3n

43 - 1 = 3n

3n = 42

n = 42 ÷

n = 14

So, 14th term is 43

Please MARK AS BRAINLIEST

4 0
3 years ago
Two random samples were taken to determine how often people in a community listen to local radio station each month. The first s
Lelechka [254]

Question:

Two random samples were taken to determine how often people in a community listen to the local radio station each month.

The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.

The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.

Which statements are true? Check all that apply.

A) The second sample is random.

B) The second sample is likely to be more representative of the population.

C) The first sample is likely to be more representative of the population.

D) The second sample will give a better representation because is it larger.

E) The first sample will give a better representation because it is smaller.

F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

Answer:

Options A, B, D, and F

Step-by-step explanation:

A) The second sample is random because in the second sample, people were surveyed at random. Every sixth person that exited the grocery store was surveyed and this selection represents an unbiased sampling method of the general population.

B) The second sample is likely to be more representative of the population, this is because, the sampling method was unbiased and it also contains a larger sample size than first sample.

D) The second sample will give a better representation because is it larger. Sample size is an important factor in a research. A large sample size gives a more accurate mean value than a small sample size.

F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month. This is because the research with the larger sample size is accepted instead of that of the smaller sample size. Also the second sample is likely to be more representative of the general population.

Options C and E are incorrect.

Thus, we can say that options A, B, D & F are correct.

8 0
3 years ago
For your birthday, you want to take a group of friends to an indoor trampoline
Shkiper50 [21]

Answer:

Skyhigh : 40 friends

Jump it up : 90 friends

Step-by-step explanation:

Given that :

Total amount available to spend = $250

JUMP IT UP:

Party set up fee = $70

Amount paid per person = $2

Number of friends = 90

SKY HIGH:

Party set up fee = $50

Amount paid per person = $5

Number of friends = 40

INEQUALITY :

Party setup fee + amount per person * Number of persons ≤ available amount to spend

SKY HIGH:

50 + 5x ≤ 250

5x ≤ 250 - 50

5x ≤ 200

x ≤ 200/5

x ≤ 40

Hence,

Skyhigh = 90 friends

JUMP IT UP:

70 + 2x ≤ 250

2x ≤ 250 - 70

2x ≤ 180

x ≤ 180/2

x ≤ 90

Jump it up = 90

8 0
3 years ago
You’ve bought a half-dozen (six) eggs from the store but you forgot to check them first! The probability that no eggs are broken
GREYUIT [131]

Answer:

a)

P(X = 0) = C_{6,0}.(0.1416)^{0}.(0.8584)^{6} = 0.4

P(X = 1) = C_{6,1}.(0.1416)^{1}.(8584)^{5} = 0.3960

P(X = 2) = C_{6,2}.(0.1416)^{2}.(8584)^{4} = 0.1633

P(X = 3) = C_{6,3}.(0.1416)^{3}.(8584)^{3} = 0.0359

P(X = 4) = C_{6,4}.(0.1416)^{4}.(8584)^{2} = 0.0044

P(X = 5) = C_{6,5}.(0.1416)^{5}.(8584)^{1} = 0.0003

P(X = 6) = C_{6,6}.(0.1416)^{6}.(8584)^{0} = 0.00001

b) 56.77% probability that an even number of eggs is broken.

c)

Expectation: 0.8496

Variance: 0.7293

Step-by-step explanation:

For each egg, there are only two possible outcomes. Either it is broken, or it is not. The probability of an egg being broken is independent from other eggs. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

There are 6 eggs

So n = 6

The probability that no eggs are broken is 0.4.

This means that P(X = 0) = 0.4. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.p^{0}.(1-p)^{6}

(1 - p)^{6} = 0.4

Taking the sixth root from both sides of the equality

(1 - p) = 0.8584

p = 0.1416

Each egg has a 0.1416 probability of being broken

(a) Write out the pmf of X.

Probability of each value, from 0 to 6

P(X = 0) = C_{6,0}.(0.1416)^{0}.(0.8584)^{6} = 0.4

P(X = 1) = C_{6,1}.(0.1416)^{1}.(8584)^{5} = 0.3960

P(X = 2) = C_{6,2}.(0.1416)^{2}.(8584)^{4} = 0.1633

P(X = 3) = C_{6,3}.(0.1416)^{3}.(8584)^{3} = 0.0359

P(X = 4) = C_{6,4}.(0.1416)^{4}.(8584)^{2} = 0.0044

P(X = 5) = C_{6,5}.(0.1416)^{5}.(8584)^{1} = 0.0003

P(X = 6) = C_{6,6}.(0.1416)^{6}.(8584)^{0} = 0.00001

(b) Compute the probability that an even number of eggs is broken.

0, 2, 4 or 6

P = P(X = 0) + P(X = 2) + P(X = 4) + P(X = 6) = 0.4 + 0.1633 + 0.0044 + 0.00001 = 0.5677

56.77% probability that an even number of eggs is broken.

(c) Compute the expectation and variance of X.

Expectation:

E(X) = np = 6*0.1416 = 0.8496

Variance:

V(X) = np(1-p) = 6*0.1416*0.8584 = 0.7293

7 0
4 years ago
2³ + 10 - 4 +4 +3²<br>please help me with this ​
EastWind [94]
It is 27, hope this helps!
4 0
3 years ago
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