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Tresset [83]
3 years ago
8

Maria is training to be a long distance runner. She runs once every day. On the average, each day that Maria has run, she has im

proved her time by 20 seconds. Today she ran for the fifth time. Her time was 10 minutes 48 seconds. What was Maria's running time the first day she ran?
Mathematics
1 answer:
Sav [38]3 years ago
7 0

Answer:

9 mins and 8 secs

Step-by-step explanation:

You might be interested in
Find the new price for the markup given. Round to the nearest cent if necessary. $3.00 marked up 72%
Marrrta [24]

Answer:

$5.16

Explanation:

Okay, so the first step is to move the decimal point of the 72% over to the left twice. Since it is a whole number, the decimal is at the back. So, the number went from 72 to .72.

After that, multiply 3.00 by .72 Like this:

3.00 * .72 = 2.16

The last step is to add the original number to that number. Like this:

3.00 + 2.16 = 5.16

Hope this helps !

6 0
2 years ago
If angles a & b are vertical angles and the measure of angle a is 123 degrees and the measure of angle b is 3x, what is the
dusya [7]

Answer:

x = 41

Step-by-step explanation:

vertical angles are congruent , then

3x = 123 ( divide both sides by 3 )

x = 41

3 0
1 year ago
The source of the error when a computer system fails are either the disk drive, the computer memory, or the operating system. Ve
faltersainse [42]

Answer:

The probability of an operating system error given that a failure has ocurred is P(O/E)= 0.19

Step-by-step explanation:

Hello!

There are three different sources of error when a computer system fails:

D: disk drive error. ⇒ P(D)= 0.50

M: computer memory error. ⇒P(M)= 0.20

O: operating systems error. ⇒ P(O)= 0.30

According to the component perdormance standard:

The probability of failure "E", given that there is a disk drive error is P(E/D)= 0.40

The probability of failure "E", given that there is a computer memory error is P(E/M)= 0.6

The probability of failure "E", given that there is a operating system error is P(E/O)= 0.25

You need to calculate the probability of an operating system error given that a failure has ocurred, symbolically:

P(O/E)

P(O/E)= \frac{P(OnE)}{P(E)}

To reach the probability of the marginal E you have to add all intersections between the event "E" and the events "D", "M" and "O"

       D           M             O       Total

E:  P(E∩D); P(E∩M); P(E∩O);  P(E)

Using the formula of the conditional probability I'll clear all three intersections using the known probabilities:

General formula: P(A/B)= \frac{P(AnB)}{P(B)} ⇒ P(AnB)= P(A/B)*P(B)

P(E∩D)= P(E/D)*P(D)= 0.4*0.5= 0.2

P(E∩M)= P(E/M)*P(M)= 0.6*0.2= 0.12

P(E∩O)= P(E/O)*P(O)= 0.25*0.3= 0.075

P(E)= P(E∩D) + P(E∩M) + P(E∩O)= 0.2+0.12+0.075= 0.395

P(O/E)= \frac{P(OnE)}{P(E)} = \frac{0.075}{0.395}= 0.189 = 0.19

I hope it helps!

7 0
2 years ago
A spinner is divided into 8 equal sections numbered 1 through 8. which 2 events are disjoint?
Jlenok [28]

Answer:

Spinning a number less than 4 and Spinning a 6

Hope this helps!

7 0
3 years ago
If the perimeter of a rectangle is 42 cm and the area is 98 square cm, then what are the dimensions of the rectangle?
Natalka [10]

we are given that the perimeter of the rectangle is 42cm

the formula for the perimeter of the rectangle is 2(l+b)

where l= length and b=breadth

so,

equating the above two equations we get

2(l+b)=42

(l+b)=42/2

l+b=21..........................(1)

we are given the area of the rectangle to be 98sq cm

the formula for the area of the rectangle is l*b.

so,

equating the above two equations we get

l*b=98

l=98/b

equating the above equation in equation 1 in we get,

98/b +b=21

(98+b²)/b=21

98+b²=21b

b²- 21b + 98 = 0

(b-7)(b-14)=0

thus we have

b-7=0

b=7

and

b-14=0

b=14

equating both the values of b in equation (1)

when b=7

l+b=21

l+7=21

l=21-7

l=14

and

when b=14

l+b=21

l+14=21

l=21-14

l=7

since breath, can't be longer than length, thus b=7 and l=14.

thus the rectangle has a length of 14 cm and a breath of 7cm

Define the length and breadth/width of a rectangle.

Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.

to learn more about parameters and areas visit:

brainly.com/question/19819849

#SPJ9

7 0
1 year ago
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