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3 years ago

How many 4-element subsets containing the letter a can be formed from the set {a,b,c,d,e,f,g}?

Mathematics

1 answer:

Anarel [89]3 years ago

6 0

You would be able to make 20 subsets.

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SOMEONE PLEASE HELP I WILL MARK U BRAINLIST

mash [69]

Answer:

x = 3

Step-by-step explanation:

$In\: \triangle PQT,\: \overline{PQ}|| \overline {RS}...(Given)\\\\\implies\frac{PS}{ST}=\frac{QR}{RT}\\(By\: Proportionality\: Theorem) \\ \\\implies\frac{2x+4}{5}=\frac{3x+5}{7}\\\\ \implies \: 7(2x + 4) = 5(3x + 5) \\ \\ \implies \:14x + 28 = 15x + 25 \\ \\ 14x - 15x = 25 - 28 \\ \\ - x = - 3 \\ \\ x = 3$

7 0

2 years ago

. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of al

Shtirlitz [24]

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

$E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }$

$n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2$

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, $Z_\frac{\alpha }{2}$ is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, $Z_\frac{\alpha }{2}$ = 3. Hence:

$n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900$

6 0

3 years ago

Solve the system by substitution. x = -2y + 5 -8x – 3y = -1

mote1985 [20]

Jejdjejjejejejejejjejejeejjeje

3 0

3 years ago

A school is planning a field trip to a theme park. A ticket to the park costs $21. For a group of 50 or more, there is a 12%

klasskru [66]

With a 12% discount, 18.48 is the price per ticket (2.52 per ticket saved). In order to determine the amount of tickets, we divide the saved amount by the amount saved per ticket.

819/2.52 is 325.

There were 325 tickets purchsed.

4 0

4 years ago

Write the function in vertex form, and identify its vertex. g(x) = 5x2 - 50x + 128

steposvetlana [31]

Hello :
g(x) = 5x² - 50x + 128
= 5(x²-10x +128/5)
= 5 (x²-10x+5²-5² +128/5)
= 5 ((x-5)² +128/5 -125/5)
y = 5 ((x-5)² - 3/5)
y= 5(x-5)² +3.....vertex form
the vertex is : (5,3)

3 0

4 years ago