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3 years ago

Use the theoretical method to determine the probability of the outcome or event given below.

Mathematics

1 answer:

dedylja [7]3 years ago

3 0

Answer:

$\frac{1}{7}$ probability that the next president of the United States was born on Monday

Step-by-step explanation:

A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.

The next president of the United States was born on Monday

Any person, including the next president of the United States, can be born on 7 possible days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday, one of which is Monday.

$\frac{1}{7}$ probability that the next president of the United States was born on Monday

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A plane flew a total of 2,220 miles. Its average

mojhsa [17]

Answer:

4 Hours

Step-by-step explanation:

1). Since Speed (V) = Distance (D)/Time (t)

2). Then t=D/V ( transpose)

3). So t= 2220/555

t= 4 hours

The plane flew for four hours

8 0

3 years ago

Given: KLMN is a trapezoid, m∠N=m∠KML, FD=8, LM KN = 3 5 F∈ KL , D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3 5 Find: KM

denis23 [38]

Answer:

The length of side KM is $\sqrt{109}$ units.

Step-by-step explanation:

Given information: KLMN is a trapezoid, ∠N= ∠KML, FD=8, LM:KN=3:5, F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, $ME=3\sqrt{5}$ .

From the given information it is noticed that the point F and D are midpoints of KL and MN respectively. The height of the trapezoid is $3\sqrt{5}$ .

Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.

Since LM:KN=3:5, therefore LM is 3x and KN is 5x.

$\frac{3x+5x}{2}=8$

$\frac{8x}{2}=8$

$x=2$

Therefore the length of LM is 6 and length of KN is 10.

Draw perpendicular on KN form L and M.

$KN=KA+AE+EN$

$10=6+2(EN)$ (KA=EN, isosceles trapezoid)

$EN=2$

$KE=KN-EN=10-2=8$

Therefore the length of KE is 8.

Use pythagoras theorem is triangle EKM.

$Hypotenuse^2=base^2+perpendicular^2$

$(KM)^2=(KE)^2+(ME)^2$

$(KM)^2=(8)^2+(3\sqrt{5})^2$

$KM^2=64+9(5)$

$KM=\sqrt{109}$

Therefore the length of side KM is $\sqrt{109}$ units.

8 0

3 years ago

Read 2 more answers

Can u help pls.........

Lena [83]

Answer:

I think its b............

6 0

3 years ago

Determine the values of n and m so that the following system have infinite number of solutions

cupoosta [38]

Answer:

n = 3

m = -1/2

Step-by-step explanation:

Multiply the second equation by 4

4(n - 2)x + y = 4(n + m) Y is now correct.

4(n - 2) = 4 Remove the brackets

4n - 8 = 4 Add 8 to both sides

4n = 8 + 4 Combine

4n = 12 Divide by 4

n = 3 x is now correct

4(n - 2) = 4

4(3 -2) = 4

4 = 4

Now you have to worry about m

4(n + m) = 10

n = 3

4(3 + m) = 10 Divide by 4

m + 3 = 10/4

m + 3 = 2.5 Subtract 3 from both sides.

m = 2.5 - 3

m = - 1/2

6 0

3 years ago

Select the correct answer.

Naya [18.7K]

Step-by-step explanation:

step 1. The square matrices are C and D.

step 2. If you add up the top rows you get 2, 8, -4 .

step 3. The answer is B.

3 0

3 years ago