What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.

Three more than twice a number is 15 in algebraic equation

3 + 2n = 15

hope this helps

6 0

2 years ago

You are making a blueprint of your bedroom and you plan to use a scale factor of 1/4. The actual width of your room is 13 feet a

Serga [27]

Length - 2.75 ft
width - 3.25 ft

5 0

2 years ago

53% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

faltersainse [42]

Answer:

a

$P(X = 5) = 0.2423$

b

$P( X \ge 6 )= 0.4516$

c

$P( X < 4 )= 0.12694$

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.53

The sample size is n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly five is mathematically represented as

$P(X = 5) = ^{10}C_5 * 0.53^5 * (1- 0.53)^{10-5}$

=> $P(X = 5) = 252 * 0.04182 * 0.023$

=> $P(X = 5) = 0.2423$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is at least six is mathematically represented as

$P( X \ge 6 )= P( X = 6) + P( X = 7) + P( X = 8) + P( X = 9) + P( X = 10)$

=> $P( X \ge 6 )= [^{10}C_6 * [0.53]^6 * (1- 0.53)^{10-6}] + [^{10}C_7 * [0.53]^7 * (1- 0.53)^{10-7}] + [^{10}C_8 * [0.53]^8 * (1- 0.53)^{10-8}] + [^{10}C_9 * [0.53]^9 * (1- 0.53)^{10-9}] + [^{10}C_{10} * [0.53]^{10} * (1- 0.53)^{10-10}]$

=> $P( X \ge 6 )= [0.227] + [0.1464] + [0.0619] + [0.0155] + [0.00082]$

=> $P( X \ge 6 )= 0.4516$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is less than four is mathematically represented as

$P( X < 4 )= P( X = 3) + P( X = 2) + P( X = 1) + P( X = 0)$

=> $P( X < 4 )= [^{10}C_3 * 0.53^3 * (1- 0.53)^{10-3}] + [^{10}C_2 * 0.53^2 * (1- 0.53)^{10-2}] + [^{10}C_1 * 0.53^1 * (1- 0.53)^{10-1}] + [^{10}C_0 * 0.53^0 * (1- 0.53)^{10-0}]$

=> $P( X < 4 )= 0.09051 + 0.03 + 0.0059 + 0.000526$

=> $P( X < 4 )= 0.12694$

5 0

2 years ago

The gestation period of humans (266 days) is what percent longer than the gestation period of pigs (115 days).

ruslelena [56]

Answer:

56.8%

Step-by-step explanation:

(115/266)* 100 = 43.2%

which means 115 is 43.2% of 266

so,

The gestation period for Humans is 56.8% (100 - 43.2) longer than of pigs

I hope this is correct!

7 0

3 years ago

Asap plz help maxium points will mark brainliest

jeka57 [31]

Given statement is False, if a light cost $3, it could be either Green or Yellow.

Converse: If the light bulb was Yellow, then the cost was $3 = True

Contrapositive makes both statements negative and switches the order of the original statement.

So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.

Inverse makes both statements negative but keeps the same order.

Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.

4 0

2 years ago

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