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Talja [164]
3 years ago
7

Mary can run 5 kilometers in 18.75 minutes.

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Answer:

30 minutes

Step-by-step explanation:

Find the unit rate (time per SINGLE kilometer).

5/5=1 18.75/5=3.75

Multiply 3.75 (unit rate) by 8.

3.75 x 8=30

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Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest
strojnjashka [21]

Answer:0.9991

Step-by-step explanation:

The Poisson distribution probability formula is given by :-

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}, where \lambda is the mean of the distribution and x is the number of success

Given : \lambda=7

The probability that more than 1 student will have his automobile stolen during the current semester is given by :-

P(x\geq1)=1-P(x=0)=1-(\dfrac{e^{-7}7^0}{0!})\\\\=1-e^{-7}=0.99908811\approx0.9991

Hence, the  probability that more than 1 student will have his automobile stolen during the current semester =0.9991

3 0
3 years ago
The figures below are similar; write what you know about the angles and sides.
Nuetrik [128]

Because BLIND is similar to FAITH,

for corresponding sides we can write,

|BL|/|FA| = |LI|/|AI| = |IN|/|IT| = |ND|/|TH| = |DB|/|HF|.

For corresponding angles we can write

m∠B=m∠F, m∠L=m∠A, m∠LIN=m∠AIT, m∠N=m∠T, m∠D=m∠H.

6 0
3 years ago
Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1
Tanya [424]

Answer:  x = 4, y = 3

<u>Step-by-step explanation:</u>

y=\dfrac{1}{4}x+2    and      y=x-1

Using substitution method we get:

x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3

3 0
3 years ago
Question 3
USPshnik [31]

Answer: The area of a sector is a fraction of the area of the circle. The fraction is equal to the ratio of the measure of the sector’s central angle to one full rotation, or 360°.

Step-by-step explanation:

3 0
3 years ago
Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.
cestrela7 [59]

Answer:

$16.

Step-by-step explanation:

Let t represent the cost of each tree.

We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.

We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be 8\times \$5=\$40

The total cost of purchasing 8 trees will be 8t+40.  

Since the total cost of the trees including the delivery was $168, so we can get an equation as:

8t+40=168

8t+40-40=168-40

8t=128

Upon dividing both sides of our given equation by 8, we will get:

\frac{8t}{8}=\frac{128}{8}  

t=16  

Therefore, the cost of each tree is $16.

5 0
3 years ago
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