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katovenus [111]
2 years ago
11

At Grocery Mart, tomatoes are $2.75 per pound, or you can buy a 5

Mathematics
1 answer:
larisa [96]2 years ago
5 0

Answer:

a) $2.75

b) $2.2

c) Second tomato option is better value option.

Step-by-step explanation:

First option to buy tomatoes = $2.75 per pound

Second option to buy tomatoes:

To buy a box which is a 5 pound box and the price is $11.

To find:

a) Unit price for the first tomato option.

b) Unit price for the second tomato option.

c) Better value option on the basis of price.

Solution:

Let the consider the unit here to be a pound.

So, we will find the price of tomato per pound to find the unit price of tomato.

a) Unit price of the first tomato option is : $2.75 per pound

b) Unit price of the second tomato option:

Price for 5 pounds = $11

Dividing both sides with 5 to find the price of 1 pound or unit price.

Price for \frac{5}{5} = 1 pound = \frac{\$11}5  = \$2.2

c) To find the better value option, we can compare the unit prices of the two tomato options.

Here, we have the two tomato options with unit prices as:

$2.75 and $2.2

Second tomato option has a lower unit price, therefore, <em>second option</em> is better value option on the basis of price.

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Can someone help me please i didnt learn this
OLga [1]

Answer:

1.) Exponential Growth

2.) Exponential Decay

3.) Exponential Growth

4.) Exponential Decay

Step-by-step explanation:

<u>1.) </u><u><em>f (x) </em></u><u>= 0.5 (7/3)^</u><u><em>x</em></u>

            ↓

always increasing

<u>2.) </u><u><em>f (x) </em></u><u>= 0.9 (0.5)^</u><u><em>x</em></u>

<em>             </em>↓

always decreasing

<u>3.) </u><u><em>f (x) </em></u><u>= 21 (1/6)^</u><u><em>x</em></u>

            ↓

always increasing

<u>4.) </u><u><em>f (x) </em></u><u>= 320 (1/6)^</u><u><em>x</em></u>

<em>          </em>   ↓

always decreasing

<u><em>EXPLANATION:</em></u>

It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

7 0
3 years ago
Kindly answer the question attached ^-^<br><br>​
4vir4ik [10]

Answer:

=11600/3

=3866.66kg

Step-by-step explanation:

dividing the mass with bricks with the three times of the lorry

8 0
2 years ago
Read 2 more answers
Give a description of a 3/4 turn of the minute hand on a clock face
Snowcat [4.5K]
3/4 on the minute hand of a clock would be 45.

example: 6:45
8 0
3 years ago
The increasing annual cost (including tuition, room, board, books, and fees) to attend college has been widely discussed (Time).
NeX [460]

Answer:

(a) PRIVATE COLLEGES

Sample mean is $42.5 thousand

Sample standard deviation is $6.65 thousand

PUBLIC COLLEGES

Sample mean is $22.3 thousand

Sample standard deviation is $4.34 thousand

(b) Point estimate is $20.2 thousand. The mean annual cost to attend private colleges ($42.5 thousand) is more than the mean annual cost to attend public colleges ($22.3 thousand)

(c) 95% confidence interval of the difference between the mean annual cost of attending private and public colleges is $19.2 thousand to $21.2 thousand

Step-by-step explanation:

(a) PRIVATE COLLEGES

Sample mean = Total cost ÷ number of colleges = (51.8+42.2+45+34.3+44+29.6+46.8+36.8+51.5+43) ÷ 10 = 425 ÷ 10 = $42.5 thousand

Sample standard deviation = sqrt[summation (cost - sample mean)^2 ÷ number of colleges] = sqrt([(51.8-42.5)^2 + (42.2-42.5)^2 + (45-42.5)^2 + (34.3-42.5)^2 + (44-42.5)^2 + (29.6-42.5)^2 + (36.8-42.5)^2 + (51.5-42.5)^2 + (43-42.5)^2] ÷ 10) = sqrt (44.24) = $6.65 thousand

PUBLIC COLLEGES

Sample mean = (20.3+22+28.2+15.6+24.1+28.5+22.8+25.8+18.5+25.6+14.4+21.8) ÷ 12 = 267.6 ÷ 12 = $22.3 thousand

Sample standard deviation = sqrt([(20.3-22.3)^2 + (22-22.3)^2 + (28.2-22.3)^2 + (15.6-22.3)^2 + (24.1-22.3)^2 + (28.5-22.3)^2 + (22.8-22.3)^2 + (25.8-22.3)^2 + (18.5-22.3)^2 + (25.6-22.3)^2 + (14.4-22.3)^2 + (21.8-22.3)^2] ÷ 12) = sqrt (18.83) = $4.34 thousand

(b) Point estimate = mean annual cost of attending private colleges - mean annual cost of attending public colleges = $42.5 thousand - $22.3 thousand = $20.2 thousand.

This implies the the mean annual cost of attending private colleges is greater than the mean annual cost of attending public colleges

(c) Confidence Interval = Mean + or - Margin of error (E)

E = t×sd/√n

Mean = $42.5 - $22.3 = $20.2 thousand

sd = $6.65 - $4.34 = $2.31 thousand

n = 10+12 = 22

degree of freedom = 22-2 = 20

t-value corresponding to 20 degrees of freedom and 95% confidence level is 2.086

E = 2.086×$2.31/√22 = $1.0 thousand

Lower bound = Mean - E = $20.2 thousand - $1.0 thousand = $19.2 thousand

Upper bound = Mean + E = $20.2 thousand + $1.0 thousand = $21.2 thousand

95% confidence interval is $19.2 thousand to $21.2 thousand

6 0
3 years ago
F(x) = x2 + 4x − 6
german

Since

x^2+4x+4=(x+2)^2

Is a perfect square, we can think of the "-6" at the end as a "+4-10" and we have

x^2+4x-6 = x^2+4x+4-10 = (x+2)^2-10

Which is the required form

6 0
3 years ago
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