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3 years ago

11

A cross country racer records a time of exactly 4 minutes to complete a race that is a distance of 1,000 meters. What is the rac

er's speed, in meters/second, during the race?

1 answer:

lions [1.4K]3 years ago

6 0

Answer:

.24 meters/second

Step-by-step explanation:

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Which of the following fractions is closest to<br> 5/8<br><br> 2/3<br> 13/20<br> 11/16

Elina [12.6K]

The closest fraction to 5/8 is 11/16

3 0

3 years ago

Martin finds a shirt on sale for 10% off at a department store. The original price was $20. Martin must also pay 8.5% sales tax.

IRINA_888 [86]

Answer:

The shirt is originally$20 dollars, after the taxes are applied the shirt costs $21.70

Step-by-step explanation:

The question says it cost $20.

20×(8.5÷100)

20×0.0851= 1.7

20+1.7

21.7

4 0

3 years ago

Read 2 more answers

What does geometric progression mean?

damaskus [11]

Step-by-step explanation:

$\large\tt\underline\blue{a} \underline\pink{n} \underline\green{s} \underline\red{w}\underline \purple{e} \underline\orange{r}$

A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.

7 0

2 years ago

Casey ran out of time while taking a multiple-choice test and plans to guess on the last 101010 questions. Each question has 555

Soloha48 [4]

Answer:

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is correct, or it is not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

There are four questions, so n = 4.

Each question has 5 options, one of which is correct. So

What is the probability that he answers exactly 1 question correctly in the last 4 questions?

This is

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

7 0

3 years ago

Read 2 more answers

PLEASEEE HELP MEEEE<br><br>NO LINKSSS

Artemon [7]

Answer:

$\huge\boxed{(2,\ 3);\ (-1,\ 6)}$

Step-by-step explanation:

$f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right$

substitute (1) to (2):

$x^2-2x+3=-x+5$ add x to both sides

$x^2-2x+x+3=-x+x+5$

$x^2-x+3=5$ subtract 5 from both sides

$x^2-x+3-5=5-5$

$x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}$

substitute the values of x to (2):

$x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}$

3 0

3 years ago