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4 years ago

Question in attachment

Mathematics

1 answer:

Elan Coil [88]4 years ago

7 0

Answer:

The range within 1 standard deviation :155.12 ,328.38

Step-by-step explanation:

Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198

$Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

$Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}$

Mean =241.75

$\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$

Standard deviation = $\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}$

Standard deviation =86.63

Range within 1 standard deviation : $(\mu-\sigma,\mu+\sigma)$

Range within 1 standard deviation :(241.75-86.63,241.75+86.63)

Range within 1 standard deviation :155.12 ,328.38

Hence The range within 1 standard deviation :155.12 ,328.38

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The base of a rectangle is 15cm the perimeter is at most 94 cm. Write and solve an inequality to find the possible heights of th

tino4ka555 [31]

15 x 6 = 90 + 4 = 94 that's what I would do

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4 years ago

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time

Nana76 [90]

Answer:

Jenny save 4 times $\$ 250$ for the month

Step-by-step explanation:

Given Jenny has saved $\$3,800$ over the last 12 months.

She saved either $\$250$ or $\$350$ a month.

Let the number of months to save $\$250$ be x

Let the number of months to save $\$350$ be y

Total period is 12 month.

$x+y=12 \ \ \ \ equation\ 1$

Jenny has saved $3,800 over the last 12 months.

$250x+350y=3800$

Dividing both side from 50 we get,

$\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}$

$5x+7y=76 \ \ \ \ equation\ 2$

Now Multiplying equation 1 by 5 we get,

$5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8$

Substituting the value of y in equation 1 we get,

$x+y=12\\x+8=12\\x=12-8\\x=4$

∴ Jenny save 4 Months of $\$ 250$ and 8 Months of $\$ 350$ in a 12 month duration

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3 years ago

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Jared made 12 3/4 cups of snack mix for a party.his guestnate 2/3 of the mix

Alja [10]

There is 12 1/12 of snack mix left.

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3 years ago

Will bought 4 slices of pizza for $6.00.

Tom [10]

Answer: The graph of line $y = \frac{3}{2} x$

Step-by-step explanation:

Since, here x represent the number of slices of pizza purchased, and let y represent the total cost.

And, According to the question,

Will bought 4 slices of pizza for $6.00.

Therefore, the price of one slice pizza = 6/4 = $3/2

Thus, the price of x pizza = 3x/2

But, the price of x pizza = y

Therefore, y = 3x/2

Which is the required equation of line.

And, this line passes through the origin.

If x =2 y =3

If x= 4 y = 6

If x = 8 , y= 12

Thus, the points of the line are ( 2,3), (4,6) and (8,12)

Therefore, we can plot the graph of the line with help of above information.

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4 years ago

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Help me to solve this question.

dezoksy [38]

Answer:

n = 133

Step-by-step explanation:

The sum of n terms of an arithmetic sequence is ...

Sn = n(2·a1 +d(n -1))/2

You want ...

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(n^2 +19n)/4 > 5000 . . . . . . . . .simplify

n^2 +19n -20000 > 0 . . . . . . . write in standard form

We can solve this quadratic using the quadratic formula ...

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The least value of n such that the sum of n terms exceeds 5000 is ...

n = 133.

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3 years ago