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1 year ago

6

Suppose the average of 15 consectutive numbers is 15. What is the average of the first five numbers of the set?

1 answer:

Marina86 [1]1 year ago

7 0

15x15= 225

15x + 105= 225

15x= 225-105

15x= 120

X=8

X+ (x+1) + (x+2) + (x+3)…etc all the way up too +(x+14)=225

The first five numbers of the set: 8, 9, 10, 11, 12

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Help me please..... please

Oksana_A [137]

Answer:

general rule Un=1.8n-21

U100=1.8(100)-21=159

Step-by-step explanation:

a5=a+4d, a5=-12

a10=a+9d, a10=-3

-12=a+4d

-3=a+9d subtract the system of equations

-9=-5d solve for d

d=1.8

substitute d into first equation to find a

-12=a+4(1.8)

a=-19.2

un. = a + (n − 1)d

Un=-19.2+(n-1)(1.8)

Un=1.8n-21

7 0

3 years ago

Solve x2 – 10x + 25 = 35 for x.

Galina-37 [17]

$x^2-10x+25=35\\\\x^2-2\cdot5\cdot x + 5^2=35\ \ \ |\text{use:}\ (a-b)^2=a^2-2ab+b^2\\\\(x-5)^2=35\to x-5=\pm\sqrt{35}\ \ \ |+5\\\\\boxed{x=5-\sqrt{35}\ \vee\ x=5+\sqrt{35}}$

$\text{other method}\\\\x^2-10x+25=35\\\\x^2-5x-5x+25=35\\\\x(x-5)-5(x-5)=35\\\\(x-5)(x-5)=35\\\\(x-5)^2=35\\.....$

3 0

3 years ago

Solve the equation. 9+2 14x – 31 = 19<br> Please answer it step by step

siniylev [52]

Answer:

$x = \frac{41}{28} = 1 \frac{13}{28}$

Step-by-step explanation:

$9 + 2(14x - 3) = 19$

$9 + 28x - 31 = 19$

$- 22 + 28x = 19$

$28x = 19 + 22$

$28x = 41$

$\boxed{\green{x = \frac{41}{28} = 1 \frac{13}{28}}}$

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3 years ago

When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was o

Roman55 [17]

Answer:

Option C.

Step-by-step explanation:

Given information:

Sample size = 150

Number of Opinions = 3 (Yes, No, No Opinion)

Yes = 40

No = 60

No opinion = 50

We need to find the expected frequency for each group.

Expected frequency for each group is the quotient of sample size and number of opinions.

$\text{Expected frequency for each group}=\dfrac{\text{Sample size}}{\text{Number of Opinions}}$

$\text{Expected frequency for each group}=\dfrac{150}{3}$

$\text{Expected frequency for each group}=50$

Therefore, the correct option is C.

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3 years ago

Brooke is making dish towels for the kitchen. If each towel uses 2 2/3 feet of fabric and she is making 8 towels, how much fabri

Julli [10]

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3 0

3 years ago