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iVinArrow [24]
2 years ago
14

Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old i

s Tina?
A. The equation that represents this situation is t − 3 = 18. Tina is 21.

B. The equation that represents this situation is t + 3 = 18. Tina is 15.

C. The equation that represents this situation is 3 − t = 18. Tina is 21.

D. The equation that represents this situation is -3 − t = 18. Tina is 15.
Mathematics
2 answers:
8090 [49]2 years ago
8 0

Answer:

Option A is correct answer.

Step-by-step explanation:

Here age of Tina is given to be t

Cole's age = 3 year less than Tina's age ,that is t-3

which is given to be 18

therefore equating both we get

t-3=18

adding 3 both sides in order to solve for t ,we get

t = 18+3

t= 21 years

therefore  Equation to find the age of Tina is t-3 =18 and

the age of Tina is 21 years.

Therefore option A is correct answer.

iogann1982 [59]2 years ago
4 0

Answer:

The Answer Is A

Step-by-step explanation:

If cole is 18 and he is 3 years younger then tina then tina is 21 because if you add 18 and 3 you get 21 and to show the equation its t - 3 = 18.

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Answer:

1 : 9.75 * 10⁷

Step-by-step explanation:

To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.

3 0
2 years ago
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16, a) what is the probability that the sample
Volgvan

Answer:

a) 0.0228

b) 94.6

Step-by-step explanation:

The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,

a) what is the probability that the sample mean is above 95? (4 d.p.) b)

= x = 95

Hence:

z = 95 - 75/40/√16

= 20/40/4

= 20/10

= 2

Probability value from Z-Table:

P(x<95) = 0.97725

P(x>95) = 1 - P(x<95) = 0.02275

The probability that the sample mean is above 95 to 4 decimal places = 0.0228

b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?

97.5% chance = z score for the confidence interval = 1.96

Hence:

z = (x-μ)/σ/√n

1.96 = x - 75/40/√16

1.96 = x - 75/ 40/4

1.96 = x - 75/10

Cross Multiply

1.96 × 10 = x - 75

19.6 = x - 75

x = 19.6 + 75

x = 94.6

The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6

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2 years ago
What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?​
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6 0
1 year ago
A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil
Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......

where, n = number of trials (samples) taken = 20 children

            r = number of success = none of the 20 children

            p = probability of success which in our case is probability that

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<u><em>Let X = Number of children that are unvaccinated</em></u>

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

           P(X = 0)  =  \binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}

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                          =  0.055

<em>Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.</em>

8 0
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vladimir1956 [14]

Answer:

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Step-by-step explanation:

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