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Alexxandr [17]
3 years ago
8

Mari can walk 2.5 miles in 45 minutes. At this rate, how far can she walk in two and a half hours?

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
8 0
Speed = distance/time
Time = 45 min = 45/60 hours = 0.75 hours
Speed = 2.5/0.75 hours = 3.33 miles per hour or 3 1/3 miles per hour

Distance = speed * time

Distance = 3.33* 2.5 = 8.33 miles or 8 1/3 miles
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Which expression represents "5 times the sum of 4 and y?"
laila [671]
5(4+y) is the correct answer, you would be adding 4 and y then multiplying the sum by 5
7 0
3 years ago
What is the standard deviation of this data set?<br> 12, 14, 9, 11, 10, 15, 16, 12, 7, 14
Tju [1.3M]

Answer:

The standard deviation is 2.6832815729997

Step-by-step explanation:

SD^2=(12-12)^2+...+(14-12)^2/10

SD^2=72/10

SD^2=7.2

SD=squeare root of 7.2

SD=2.6832815729997

4 0
3 years ago
Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0
3 years ago
A child weighs 44 lbs. The physician orders a medication for 10 mg/Kg/day. What do you give per day? (Use 0.45 for your conversi
Bond [772]

Answer:

198 mg

Step-by-step explanation:

A child weighs 44 lbs.

Step 1

We convert the child's weight to kg

1 Ibs = 0.45kg

44 Ibs = x

Cross Multiply

1 Ibs × x = 44 Ibs × 0.45 kg

x = 44 Ibs × 0.45 kg/1 Ibs

x = 19.8 kg

Step 2

The physician orders a medication for 10 mg/Kg/day.

From the above statement, we know that:

10mg = 1 kg

Hence, what you give per day is calculated as:

1 kg = 10 mg

19.8kg = x

Cross Multiply

1 kg × x = 19.8kg × 10mg

x = 19.8kg × 10mg/1kg

x = 198mg

Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day

3 0
3 years ago
Ryan read 15 books in June and 21 books in July. Find the percent of change in books read.​
dolphi86 [110]

Answer: 140% change (40% increase)

Step-by-step explanation:

To calculate the change, you can divide the new value (21 books) by the old value (June). This will result in a change of 1.4, which is 140% when you convert it to a percentage (by multiplying by 100). To get the secondary answer («40% increase»), you can subtract 100 to get your percent of change.

3 0
3 years ago
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