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Inga [223]
3 years ago
14

Janie is three years younger than her brother chad the sum of their ages is 27 how old is Janie

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer:

Janie is 12

Chad is 15

Step-by-step explanation:

27 - 3 = 24

24 : 2 = 12

12 + 3 = 15 (Chad)

27 - 15 = 12 (Janie)

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A plane flew for 5 hours heading west and for 4 hours heading south. If the total distance traveled was 3,444 miles, and the pla
Ganezh [65]

Answer:400 miles per hour

Step-by-step explanation:

Let w = speed at which the plane travelled west

Let s = speed at which the plane travelled south

Distance moved in 5 hrs heading west = 5*w = 5w

Distance moved in 4 hrs heading south = 4*s = 4s

Total distance, 3444= 5w + 4s

w = s + 39( 39 miles/hr faster)

5(s+39) + 4s = 3444

5s + 195 + 4s = 3444

9s = 3249

s = 361 miles per hour

w = s + 39 = 361 +39

= 400 miles per hour

4 0
3 years ago
Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided conf
givi [52]

Answer:

0.818335 ≤ p ≤ 0.86366

Step-by-step explanation:

Given that:

Sample size (n) = 1000

Positive lung cancer = 841

n(p) = 841, p(p) = 841/1000 = 0.841

n(1 - p) = 1000 - 841 = 159

1 - p = 0.159

95% confidence interval

For a 95% confidence interval : z = 1.96

P ± z√p(1-p) / n

0.841 ± 1.96 * √0.841(0.159) / 1000

0.841 - (1.96 * 0.0115636) = 0.818335344

0.841 + (1.96 * 0.0115636) = 0.863664656

0.818335 ≤ p ≤ 0.86366

4 0
3 years ago
What is the volume of a sphere having a diameter of 6 cm?
leonid [27]

Answer:

113.1

Step-by-step explanation:

Volume of sphere = \frac{4}{3} × π × r²

Volume of sphere =  \frac{4}{3} × π × 3²

Volume of sphere =  \frac{4}{3} × π × 9

Volume of sphere =  \frac{4}{3} × 9 π

Volume of sphere = 113.1

4 0
3 years ago
Read 2 more answers
If t follows a t7 distribution, find t0 such that (a) p(|t | < t0) = .9 and (b) p(t > t0) = .05.
Thepotemich [5.8K]

Answer:

a) P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

b) For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case we know that t \sim t(df=7)

And we want to find:

Part a

P(|t|

We can rewrite the expression using properties for the absolute value like this:

P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

Part b

P(t>t_o) =0.05

For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

5 0
3 years ago
Answer fast please and thank you
steposvetlana [31]

Answer:

Yes

Step-by-step explanation:

One input to one output is a linear one-to-one function.

7 0
3 years ago
Read 2 more answers
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