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Alina [70]
3 years ago
8

Evaluate 9.1s + 8.5t when s= 6 and t=7.

Mathematics
1 answer:
timurjin [86]3 years ago
3 0

Answer:

The answer is 114.1.

Step-by-step explanation:

You have to substitute the s and t value into the expression :

9.1s + 8.5t

let \: s = 6

let \: t = 7

9.1(6) + 8.5(7)

= 54.6 + 59.5

= 114.1

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Solve for x: -6x - 2 = 40
julia-pushkina [17]
<span>-6x - 2 = 40
-6x = 42
x = -7
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5 0
3 years ago
25% of American households have only dogs (one or more dogs) 15% of American households have only cats (one or more cats) 10% of
sergeinik [125]

Answer:

a) P=0.2503

b) P=0.2759

c) P=0.3874

d) P=0.2051

Step-by-step explanation:

We have this information:

25% of American households have only dogs (one or more dogs)

15% of American households have only cats (one or more cats)

10% of American households have dogs and cats (one or more of each)

50% of American households do not have any dogs or cats.

The sample is n=10

a) Probability that exactly 3 have only dogs (p=0.25)

P(x=3)=\binom{10}{3}0.25^30.75^7=120*0.01563*0.13348=0.25028

b) Probability that exactly 2 has only cats (p=0.15)

P(x=2)=\binom{10}{2}0.15^20.85^8=45*0.0225*0.27249=0.2759

c) Probability that exactly 1 has cats and dogs (p=0.1)

P(x=1)=\binom{10}{1}0.10^10.90^0=10*0.1*0.38742=0.38742

d) Probability that exactly 4 has neither cats or dogs (p=0.5)

P(x=4)=\binom{10}{4}0.50^40.50^6=210*0.0625*0.01563=0.20508

8 0
3 years ago
As an introduction to probability, a student asked to roll a fair, six sided number cube seven times the results of those seven
frosja888 [35]

Using it's concept, the standard deviation of the data is of 3.742.

<h3>What are the mean and the standard deviation of a data-set?</h3>

  • The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
  • The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.

For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

#SPJ1

3 0
2 years ago
Points U(4, - 2) and V(6, – 1).
olchik [2.2K]
Type it into the app or online on ‘Desmos’ it a really good graphing calculator. I hope this helps
7 0
3 years ago
SOMEONE PLZ HELP ME!!!
Natali [406]

Answer:

The answer to this question is B

Step-by-step explanation: By simplifying both equations to a x = ? both equations lead up to x = -7. Inversely, you can multiply both sides of the first equation by -3 and get the same equation as the second equation.


6 0
3 years ago
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