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m_a_m_a [10]
3 years ago
14

A cyclist travels 18 km from home to the park.

Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Answer: 24 km/h

Step-by-step explanation:

She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h

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Mrs. Davis brought 16 pencils to her classroom
DENIUS [597]

Answer:

4

Step-by-step explanation:

16

10×2 = 20

20-16=4

6 0
3 years ago
(Hypothetical.) Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cu
Sonbull [250]

Answer:

the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

Step-by-step explanation:

Given the data in the question;

the cumulative distribution function F(x) = 1 - \frac{1}{(x + 1)^3} ; x > \theta

probability the person's reaction time will be between 0.9 and 1.1 seconds

P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )

P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)

= [ 1 - \frac{1}{(x + 1)^3}  ] - [1 - \frac{1}{(x + 1)^3} ]

we substitute

= [ 1 - \frac{1}{(1.1 + 1)^3}  ] - [1 - \frac{1}{(0.9 + 1)^3} ]

= [ 1 - \frac{1}{(2.1)^3}  ] - [1 - \frac{1}{(1.9)^3} ]

= [ 1 - \frac{1}{(9.261)}  ] - [1 - \frac{1}{(6.859)} ]

= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]

= 0.8920203 - 0.8542062

= 0.0378

Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

5 0
3 years ago
Sam is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month
vodomira [7]

Answer:

13 months

Step-by-step explanation:

x is the number of months

first phone:

f(x) = 55x + 100

second phone:

g(x) = 51x + 150

now set up the inequality

g(x)<f(x)

51x + 150 < 55x + 100

Solve the inequality: 

51x + 150 < 55x + 100

(get everything on the correct sides... combine the like terms)

51x - 55x < 100 - 150

-4x < -50

divide both sides by -4 (don't forget to flip the inequality sign when dividing by a negative number.)

x > 50/4

x > 12.5

round up to 13

4 0
3 years ago
Read 2 more answers
A) The difference between twice the product of a and b and the quotient of these numbers.
lys-0071 [83]

Answer:

(a) 2ab - a/b

(b) c² + d + 2cd

(c) c + c²

(d) Let x be the number that is 1 greater than b, then x = b + 1

Let y be the number twice as large as b, then y = 2b

Then the quotient of x and y is what we want. This is (b + 1)/2b

(e) pq - 3(p + q)

(f) The quotient of n² and n³ + 5, this is

n²/(n³ + 5)

8 0
3 years ago
Read 2 more answers
Amber Scored 5 points more than Hope on a class test. If they scored a total of 153 points, what was Ambers Score?
MArishka [77]
The answer is 148 to this qestion
4 0
3 years ago
Read 2 more answers
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