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olchik [2.2K]
3 years ago
7

Determine the equation for the given line in

Mathematics
1 answer:
Orlov [11]3 years ago
8 0

Answer:

They are all in slope and intercept form already

Step-by-step explanation:

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Simplfy 7 to the power of 2​
Fudgin [204]

I believe that would be 49

4 0
3 years ago
There were 6 purple socks and 4 oraange socks without looking and then another without looking (or replacing the first). What is
shusha [124]

Answer:

The probability that he picked 2 purpled socks is <u>0.33</u>.

Step-by-step explanation:

Given:

Number of purple socks, n(P) = 6

Number of orange socks, n(O) = 4

Two socks are picked without replacement.

Now, total number of socks, n(T)=N(P)+n(O)=6+4=10

Probability of picking the first cap as purple cap is given as:

P(P1)=\frac{n(P)}{n(T)}\\\\P(P1)=\frac{6}{10}=\frac{3}{5}

Since there is no replacement, the number of socks decreases by 1. Also, if the first sock picked is purple, then number of purple socks is also decreased by 1.

Therefore, probability of picking the second cap as purple cap is given as:

P(P2)=\frac{n(P)-1}{n(T)-1}\\\\P(P2)=\frac{5}{9}

Now, probability that both the picked caps are purple is given by their probability product. This gives,

P(P1\ and\ P2)=P(P1)\times P(P2)\\\\P(P1\ and\ P2)=\frac{3}{5}\times\frac{5}{9}\\\\P(P1\ and\ P2)=\frac{3}{9}=\frac{1}{3}=0.33

Therefore, the probability that he picked 2 purpled socks is 0.33

4 0
3 years ago
A 27-foot long wire is attached from a stake in the ground to the top of a 24-foot flagpole. Find the distance from the stake in
levacccp [35]

Answer:

the distance is 3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the amount in the bank after 7 years if interest is compounded quarterly?
qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: A=P(1+\frac{r}{n})^{nt}

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0
3 years ago
The roots of a certain quadratic equation is 1 and 2/3. Determine the equation
MrRa [10]

Answer:3x^2-5x+2=0

Step-by-step explanation:

Format of a quadratic equation= ax^2 +bx+c

Let x=1 and 2/3

When x=1

x-1=0.......(1)

When x=2/3

x-2/3=0.........(2)

Compare the equations

(x-1)(x-2/3)=0

x^2-2/3x-x+2/3=0

x^2-5/3x+2/3=0

Multiply all terms by 3

3x^2-5x+2=0

4 0
4 years ago
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