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cupoosta [38]
3 years ago
5

Four children randomly line up, single file. What is the probability that they are in height order, with the shortest child in f

ront? All of the children are of different heights.
A 1/4
B 1/256
C 1/16
D 1/24
Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0

Answer:

the answer is D.  1/24

Step-by-step explanation:

The number of ways for the children to line up is 4!=4×3×2×1=24 -- there are 4 choices for who is first in line, then 3 for who is second, etc. Only one of these lines has the children in the order specified.

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If your starting salary is $50,000 and you receive a 4%increase at the end of every year, what is the total amount, indollars, y
Softa [21]
Answer

Total amount earned after 16 years = $93649

Explanation:

The principal, P = $50,000

Interest rate, r = 4% = 4/100

r = 0.04

The time, t = 16 years

Number of times intesrest is compounded per year, n = 1

Total amount is calculated below:

\begin{gathered} A=P(1+r)^t \\  \\ A=50000(1+0.04)^{16} \\  \\ A=50000(1.04)^{16} \\  \\ A=\$93649 \end{gathered}

Total amount earned after 16 years = $93649

4 0
1 year ago
What is the area of the figure above?
hoa [83]

Answer:

30 square cm

Step-by-step explanation:

Hope this helped

7 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 385. Find these page numbers.
Alona [7]
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers

So algebraically, consecutive integers follow the form x, x+1, x+2, etc...

Since the sum of two consecutive integers is 239, this means:

x%2Bx%2B1=239

2x%2B1=239 Combine like terms on the left side

2x=239-1Subtract 1 from both sides

2x=238 Combine like terms on the right side

x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x

x=119 Divide

So our first number is x=119

So to find the next number, simply add 1 to it to get 119%2B1=120

Answer: So our two page numbers are 119 and 120
6 0
3 years ago
Determine if the table shows a linear or an exponential function​
____ [38]

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

y=mx+b

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

\displaystyle m=\frac{y_2-y_1}{x_2-x_1}

An exponential function is written as:

y=y_o.r^x

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}

Calculate the slope for (0,4) and (1,2):

\displaystyle m=\frac{2-4}{1-0}=-2

Calculate the slope for (1,2) and (2,1):

\displaystyle m=\frac{1-2}{2-1}=-1

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

\displaystyle r=\sqrt[1-0]{\frac{1}{2}}

The radical of index 1 is simply equal to its argument:

\displaystyle r=\frac{1}{2}

Now calculate the ratio for (0,4) and (2,1)

\displaystyle r=\sqrt[2-0]{\frac{1}{4}}

\displaystyle r=\sqrt{\frac{1}{4}}

\displaystyle r=\frac{1}{2}

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0
3 years ago
Read 2 more answers
Please help me answer this‍♂️
DerKrebs [107]

Answer:

x+x+14=90

2x=90-14

2x=76

x=38 (opp angles =)

8 0
2 years ago
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