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Ostrovityanka [42]
3 years ago
14

Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $18

4, $35, $92, $142, $175, $9, and $57. Let yi denote the amount spent on groceries by a single customer in a single visit. Find the following (give the answers without commas):
a. ∑y
b. (∑y)^2
c. ∑y^2
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320

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A soccer player stands in the south east corner of a 72 yard x 65 yard field and kick the soccer ball All the way to a player in
lubasha [3.4K]

Answer:

Using the Pythagorean Theorem:

distance^2 = 72^2 + 65^2

distance^2 = 5,184 + 4,225

distance^2 = 9,409

distance = 97 yards

"round-trip" distance = 97 * 2 = 194 yards

Step-by-step explanation:

4 0
3 years ago
Please help problems below!!
kap26 [50]

Answer:

9. B 10. C 11. A 12. C

Step-by-step explanation:

Greater rate of change simply means slope! Which ever of the functions has the greatest slope (positive or negative)

9.

a. The graph shows the line going up by 4, and across by 3, or, a slope of 4/3

b. the table is increasing by 10, so, 10/1

c. -6 = -6/1, out of all of these, we divide by the denominators and determine which number is the greatest, ignoring whether or not the value is positive or negative

a. 4/3 = 1.333333

b. 10/1 = 10

c. -6/1 = -6 (remember, ignore the sign)

In this case, B is the greatest number, therefore, it has the greatest rate of change

10.

a. -3 / 3 = -1 (ignore the negative!)

b. 2/1 = 2

c. 4/1 = 4

In this case, C, is the greatest number, meaning its rate of change is highest

11.

a. -1/3 = -0.333333 (ignore the yk what!)

b. 0.25/1 = 0.25

c. -1/5 = -0.20 (you already know)

In this case, a, is the greatest number, meaning, its rate of change is the highest

12.

a. 0/1 = 0

b. 0.5/1 = 0.5

c. 2/1 = 2

In this case, c, is the greatest number, meaning, its rate of change is the highest.

Hope this helps!! <3

7 0
3 years ago
Angle = (2x + 10)° and angle = (4y – 30)°. Find x and y.
ASHA 777 [7]

Answer:

11.33 degrees

Step-by-step explanation:

5 0
2 years ago
An analyst from an energy research institute in California wishes to precisely estimate a 99% confidence interval of the average
Lena [83]

Answer:

190

Step-by-step explanation:

Data provided in the question:

Confidence level = 99%

Therefore,

α = 1% = 0.01

[ from standard normal table ]

z-value for z_{\frac{\alpha}{2}}= z_{\frac{0.01}{2}}= = 2.58

Margin of error, E = $0.06

Standard deviation, σ = $0.32

Now,

n = (\frac{z_{0.005}\sigma}{E})^2

Here,

n is the sample size (or the minimum number of gas stations  )

on substituting the respective values, we get

= (\frac{z_{0.005}\sigma}{E})^2

= (\frac{2.58\times0.32}{0.06})^2

= 13.76²

= 189.3376 ≈ 190

Hence,

minimum number of gas stations that she should include in her sample is 190

5 0
3 years ago
Help with this math question
ZanzabumX [31]
That easy 56.8.895 because when u add all the steps u find u answer so don’t let it fool u
5 0
3 years ago
Read 2 more answers
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