Joe drove 538 miles in 9 hours and 15 minutes. What was his average speed per hour

Answers

Answer 1

Answer: 9 hrs 15 mins
= 9 hrs + 15/60 hrs
= 9hrs + 1/4 hrs
= 37/4 hrs

Now,

Distance= 538 miles
Time = 37/4 hrs

Average Speed
= 538/(37/4)
=(538*4)/37
= 58.16 miles/hr

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112 students are going on a field trip. If each bus can take 50 students, how many busses are needed?
what is the number of points of intersection of the diagonals of a regular convex polygon (other than the vertices of the polygon) with 7 sides?
How many sides does a square have?
Please help! Correct answer only! I need to finish this assignment before tomorrow.In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?

A bowl contains 8 blue marbles and 5 green marbles. Elizabeth randomly draws 4 marbles form the bowl. she does not replace the marbles after each draw. what is the probability that she draws 1 blue marble and 3 green marbles?A. 4/13
B. 13/143
C. 4/143
D. 16/143

Answers

since she puts the marbles back, these events are dependent on each other
so
probability=(desired outcomes)/(total possilbe)
8+5=13=total
probailigy of blue=8/13
gree=5/13
so if she draws theem in that order then
8/13 times (since there is one less, -1 of 13) 5/12 times (assume 1 grreen was drawn from previus drawing) 4/11 times (assume as previus) 3/10

so
8/13 times 5/12 times 4/11 times 3/10=4/143=C

the answer is C 4/143

A distribution is symmetrical if the tails on both ends of the density curve that represents it are close to identical. True or false?

Answers

False, because normal distribution is a function that represents the distribution of as many random variables as a symmetrical bell-shaped graph.

The sum of two numbers is 19, and their difference is 55. What are the two numbers?

Answers

Answer:

37 and -18

Step-by-step explanation:

Let one number be x and other y

1 x + 1 y = 19 .............1

1 x -1 y = 55 .............2

Eliminate y

multiply (1)by 1

Multiply (2) by 1

1 x 1 y = 19

1 x + -1 y = 55

Add the two equations

2 x = 74

/ 2

x = 37

plug value of x in (1)

1 x + 1 y = 19

37 + 1 y = 19

1 y = 19 -37

1 y = -18

y = -18

37 and -18

Final answer:

The two numbers, which sum to 19 and have a difference of 55, are 37 and -18.

Explanation:

The sum and difference of two numbers can provide the solution to the problem. In this case, the sum of the two numbers is 19 and the difference is 55. To solve this, we start by setting up two equations based on the problem: x + y = 19 and x - y = 55.

Then we solve these equations simultaneously. We can add the two equations together to eliminate 'y'. This gives us 2x = 74, or x = 37. Substituting x = 37 into the first equation, we get 37 + y = 19, which gives y = -18.

So, the two numbers are 37 and -18.

Learn more about Solving Simultaneous Equations

brainly.com/question/148035

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What can a doctor use to determine a patient's body fat percentage?Bioelectrical impedance machine
MRI machine
Waist measurement
Weight measurement

Answers

It is Bioelectrical impedance machine, these devices are used to measure the percentage of fat on your body so it is B

Bioelectrical impedance machine

That is definitely the answer, so A not B

In right triangle ABC with the right angle at C, sin A= 2x + .1 and cos B = 4x - .7. Determine and state the vaule of x.

Answers

Imagine $\angle A$ at the top of the triangle and $\angle B$ at the bottom. (or used the attached picture for reference)

$\sin A= (opposite)/(hypotenuse)$

$\cos B = (adjacent)/(hypotenuse)$

One thing to note, however, is that the side opposite $\angle A$ is the same side as the one adjacent to $\angle B$ ! Thus $\sin A=\cos B$ .

Substitute these values for $2x+0.1$ and $4x-0.7$ and solve.

$4x-0.7=2x+0.1 \n 4x=2x+0.8 \n 2x=0.8\n \boxed{x=0.4}$

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37

f(x), because an increasing quadratic function will eventually exceed an increasing exponential function
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect
g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect