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3 years ago

Graph the linear equation y= 1/2x

Mathematics

1 answer:

Nat2105 [25]3 years ago

5 0

Answer:

Some points on the graph are (0,0), (2,1), (-2,-1), and (4,2)

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John swims 2.5 miles and sees a total of 12 fishes if he swims 8 miles how many fish will he see

Zolol [24]

Answer:

Step-by-step explanation:

2.5 miles = 12 fishes

Therefore,

8 miles = 12*8/2.5=96/2.5= 960/25=38.4 fishes

5 0

2 years ago

752 second graders went to

Sophie [7]

752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?

8 0

3 years ago

Read 2 more answers

Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal pl

kvasek [131]

Answer: Mean = 7.8

Median = 9

Mode = 2,9

Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:

$E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}$

E(X) = 7.8

Mean for the given frequency distribtuion is 7.8.

Median is the central term of a set of numbers. Median in a frequency table is calculated as:

1) Find total number, n:

n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46

2) Find position, using: $\frac{n+1}{2}$

$\frac{n+1}{2}=\frac{47}{2}$ = 23.5

Median is in the 23.5th position.

3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9

Median for this frequency distribution is 9.

Mode is the number or value associated with the highest frequency.

In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.

Mode for this distribution is 2 and 9.

7 0

3 years ago

The sum of two numbers is -6. The difference is 16. Find the two numbers.

Bess [88]

Answer:

$-5\:\mathrm{and}\: 11$

Step-by-step explanation:

We can write the following system of equations:

$\begin{cases}x+y=6\\x-y=16\\\end{cases}$

Adding both equations together, we isolate $x$ and get:

$2x=22,\: x=11$

Plugging $x=11$ in any of the equations, we can solve for $y$ :

$11+y=6,\: y=-5$

Verify that the solution pair $(11, -5)$ works $\checkmark$

Therefore, the two numbers are $\fbox{$-5\:\mathrm{and}\: 11$}$ .

7 0

3 years ago

Multiply (5 + 3i)(5 − 3i) 16 + 15i 16 − 15i 16 34

Annette [7]

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

$(a-b).(a+b)=a^{2}-b^{2}$

So, in this case:

$(5+3i).(5-3i) = 5^{2}-(3i)^{2}$

$=25-9i^{2}$

Remember that $i=\sqrt{-1}$

So: $i^{2}=-1$

We replace on the polynomial:

$=25-9.(-1) = 25+9=34$

3 0

4 years ago

Read 2 more answers