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KengaRu [80]
3 years ago
10

At 3:20 the hands of a clock form an acute angle that measures exactly how many degrees

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

The answer is 30°.

Step-by-step explanation:

The hand of a clock rotates a full 360°, let's say 12 o'clock is 0°/360°. The hour hand for this example is at 3, it moved 90° and the minute hand marks 20 minutes meaning it's positioned on the 2. From 12 to 2 the minute hand has moved 60°. 90-60= 30. Therefore 3:20 forms a 30° angle.

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A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temp
Korvikt [17]

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

4 0
3 years ago
Write the product as a trinomial.(k – 1)(k – 4)
SashulF [63]
(k - 1)(k - 4)

Use FOIL to solve this.

First
k * k
Outer
k * -4
Inner
-1 * k
Last
-1 * -4

k^2 - 4k - 1k + 4

k^2 - 5k + 4 is the trinomial.
5 0
3 years ago
Find the volume of this object
Romashka-Z-Leto [24]

Answer:

423 cm^{3}

Step-by-step explanation:

V=3*3^{2} *14+\frac{3*3^{2}*5 }{3} =423cm^{3}

3 0
3 years ago
Help plz
bixtya [17]

Answer:

Triangle 1 has the most area

Step-by-step explanation:

Because triangle has more whole blocks and also sides

hope this helps. if it's wrong im sorry :(

7 0
2 years ago
Factor the expression: 8m - 20n
puteri [66]

Answer: 11

Step-by-step explanation:

6 0
2 years ago
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