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laiz [17]
3 years ago
9

Jodie ran at an average speed of 8 km/h for 30 minutes. How far did she run in km?

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Answer:

3.75km

Step-by-step explanation:

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3 years ago
Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa
inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}

For X=12.04 days:

z=\frac{12.04 - 18.8}{2} \\z=-3.38

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

z=\frac{18.38 - 18.8}{2} \\z=-0.21

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

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6 0
3 years ago
Tavon has a gift card for $ 155 that loses $ 3.50 for each​ 30-day period it is not used. He has another gift card for $ 135 tha
Zepler [3.9K]

Answer:

A) 40

B) $ 15

Step-by-step explanation:

<u>A)An equation for the number of​ 30-day periods until the value of the gift cards will be equal</u>

Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is

155 - 3.50 x---------------------(1)

For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is

135 - 3x---------------------- (2)

Now when both the amount lost is equal

155 - 3.50x =  135 - 3x

solving the equation, we get

155 -135 = -3x + 3.50x

20 =  0.5x

x = \frac{20}{0.5}

x = 40

Thus the value of gift cards will be equal for 40 ,30 day periods.

<u>B)The value of each card be when they have equal​ value</u>

The two cards  will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.

Then

155 - 3.50x =  135 - 3x

substituting  x = 40, we get

155 - 3.50(40)=  135 - 3(40)

155 - 140= 135 - 120

15 =15

when they have equal​ value, the value of each card will be $15

7 0
4 years ago
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