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3 years ago

On a bike trip, Erika rides 5 miles in the first 30 minutes and 13 miles in the next hour. What is her average rate of speed?

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

7 0

Answer:

12 miles per hour

Step-by-step explanation:

Speed is the ratio of distance travelled to the time used.

The total distance covered = (5 + 13) miles

= 18 miles

The whole journey took 1 hour + 30 minutes = 1.5 hours

Average rate of speed = $\frac{total distance covered}{total time taken}$

= $\frac{18 miles}{1.5 hours}$

= 12 miles per hour

Therefore, her average rate of speed is 12 miles per hour.

Annette [7]3 years ago

6 0

Her average speed was 12 miles per hour. Total distance over total time.

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For a random sample of 50 measurements on the breaking strength of cotton threads, the mean breaking strength was found to be 21

Vikentia [17]

Answer:

205.81 to 214.19

Step-by-step explanation:

Sample size (n) = 50

Sample mean weight (X) = 210 grams

Sample standard deviation (s) = 18 grams

Confidence coefficient (Z) at 90% = 1.645

The confidence interval for the true mean breaking strength of cotton threads of this type, at a 90% confidence level, is given by:

$CI=X \pm Z*\frac{s}{\sqrt n}\\CI=210 \pm 1.645*\frac{18}{\sqrt 50}\\CI = 210 \pm 4.19\\CI =205.81\ to\ 214.19$

The confidence interval is 205.81 grams to 214.19 grams.

6 0

3 years ago

AWARDING DOUBLE POINTS question in pic, will report anything other than the answer

mash [69]

Answer:

m∠R is 72°

Step-by-step explanation:

In the given figure

∵ ΔPQR ≅ ΔUVW

→ From congruency

∵ m∠P = m∠U

∵ m∠Q = m∠V

∴ m∠R = m∠W

∵ m∠R = (10x - 18)°

∵ m∠W = 8x°

∵ m∠R = m∠W

→ Equate their measures

∴ 10x - 18 = 8x

→ Add 18 to both sides

∵ 10x - 18 + 18 = 8x + 18

∴ 10x = 8x + 18

→ Subtract 8x from both sides

∴ 10x - 8x = 8x - 8x + 18

∴ 2x = 18

→ Divide both sides by 2 to find x

∴ x = 9

→ Substitute the value of x in the m∠R

∵ m∠R = 10(9) - 18

∴ m∠R = 90 - 18

∴ m∠R = 72°

∴ m∠R is 72°

7 0

3 years ago

CAN SOMEONE HELP PLEASE m4A=42°, b=10, c= 12. What is the length of a to the nearest tenth?

kipiarov [429]

Answer:

a = 8.1

Step-by-step explanation:

Use the cosine rule:

$a = \sqrt{b^2 + c^2 -2 bc \space\ cosA }$

Substituting the values:

$a = \sqrt{10^2 + 12^2 -2(10)(12) \space\ cos 42 \textdegree\ }$

⇒ $a = \sqrt{4 \space\ cos 42\textdegree\ }$

⇒ $a = 8.1$

4 0

2 years ago

It takes two apples to make an apple pie. If a chef bought nine apples, the last pie

defon

Hey!

-------------------------------------------------

If a chef bought 9 apples and each pie takes 2 apples then all we have to do is divide.

9 / 2 = 4.5

4 full pies can be made with 9 apples.

4 x 2 = 8 (apples were used to make 4 pies.)

9 - 8 = 1 (apple remaining)

If one pie needs 2 apples, subtract.

2 - 1 = 1 (pies the chef needs to make the last one)

-------------------------------------------------

Answer: The last pie would need 1 more apple.

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Hope This Helped! Good Luck!

5 0

3 years ago

0.005 ___ 0.05 < > = thanks :>

irinina [24]

0.005 >  0.05

<h2>hope it helps!</h2>

4 0

2 years ago

Read 2 more answers