The sum of a number wand 4 is more than -12.

The probability that a person in the United States has type B+ blood is 10%. Four un-related people in the United States are se

marysya [2.9K]

Answer:

a. 0.0001

b. 0.6561

c. 0.3439

d. B. The event in part (a) is unusual because its probability is less than or equal to 0.05.

Step-by-step explanation:

a. # We are given that the probability that a person in the United States has Type B+ blood = 0.10. Also we are told that four unrelated people in the United States are selected at random.

#We have to find here the probability that all four have type B+ blood.

Since the events are independent, we have :

Probability that all four have B+ blood = 0.10 x 0.10x 0.10x0.10

= 0.0001

Therefore, the probability that all four have type B+ blood is 0.0001

b. We have to find the probability that none have B+ blood. Using the complementary law of probability we have:

Probability that blood type is not B+ = 1 - 0.10= 0.90

Therefore, the probability that none have B+ blood

= 0.90 x 0.90 x 0.90x0.90=0.6561

Therefore, the probability that none have B+ blood is 0.6561

c. We have to find the probability that at least one of the four have B+ blood.

#The probability that at least one of the four have B+ blood = 1 - Probability that none have B+ blood type

=1-0.6561=0.3439

Therefore,the probability that at least one of the four has type B+ blood is 0.3439

d. An event is considered unusual if the probability of the event is small or less than 0.05 . We note that event a is the only small probabilty and is less than 0.05.

-a is thus considered unusual(the rest are all usual events)

6 0

2 years ago

Robert went to the grocery store and purchased cans of soup and frozen dinners. each can of soup has 300 mg of sodium and each f

Paraphin [41]

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Step-by-step explanation:

Let,

Soup = x

Frozen Dinner = y

According to given statement of sodium;

300x + 500y = 5200 eqn 1

And,

x + y = 14 eqn 2

$Multiplying\ equation\ 2\ with\ 300\\300(x+y=14)\\300x+300y=4200\ Eqn 3\\$

Subtracting Eqn 3 from Eqn 1;

$(300x+500y)-(300x+300y)=5200-4200\\300x+500y-300x-300y=1000\\200y=1000\\y=\frac{1000}{200} \\y=5$

Putting value of y in Eqn 1;

$300x+500(5)=5200\\300x+2500=5200\\\\Subtracting\ 2500\ from\ both\ sides\ \\300x+2500-2500=5200-2500\\300x=2700\\x=\frac{2700}{300} \\x=9$

There are 9 cans of soup and 5 cans of frozen dinner.

The variables used for soup and frozen dinner are x and y respectively.

Keywords: Variables, linear equations, subtraction.

Learn more about linear equations at;

#LearnwithBrainly

5 0

2 years ago

Change 5x - y = 3 into slope-intercept form.<br> © by – 5x+3

agasfer [191]

The slope intercept form is $y=5x-3$

Explanation:

The equation is $5 x-y=3$

Now, we shall bring the equation $5 x-y=3$ in the slope intercept form.

The general form of the slope intercept is given by

$y=mx+c$

Hence, we need to rewrite the given equation in this form.

Thus, we have,

$5 x-y=3$

Subtracting both sides of the equation by 5x, we get,

$-y=-5x+3$

Multiplying both sides of the equation by (-), we get,

$y=5x-3$

Thus, the slope intercept form of the given equation is $y=5x-3$

7 0

2 years ago

Example 4: Converting Rational Numbers to Decin

IceJOKER [234]

Answer: its 4

Step-by-step explanation:

gg

8 0

2 years ago

Can somebody plz help answer the number 10’s questions using the diagram from the bottom left side (only if u know how to do thi

Lana71 [14]

Answer:

10a: △ABC is an Equilateral triangle with all acute angles.

10b: △BCD is A scalene triangle with all acute angles.

10c: △BDE is An Isosceles triangle with one obtuse angle.

Step-by-step explanation:

10) Looking at the diagram at the bottom left;

- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.

Thus, we can classify it as; Equilateral triangle with all acute angles.

- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.

We can classify it as;

A scalene triangle with all acute angles

- △BDE has 2 equal angles and one angle greater than 90°. This means it has 2 equal sides.

Thus, we can classify it as;

- An Isosceles triangle with one obtuse angle.

8 0

2 years ago