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katen-ka-za [31]
3 years ago
15

The first week at Javier's new job he spent $12.48, $9.50, $10.25, $4.99, and $8.59 on lunch. In the second week, he spent $3 mo

re in total for the 5 lunches than the first week. What is the increase in the mean for the second week compared to the first? Round the answer to the nearest penny. Enter your answer in the box.
Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

$0.60

Step-by-step explanation:

The mean is the average. We add up all the numbers and divide by the number of numbers.

The total for 1st week is  $12.48+$9.50+$10.25+$4.99+$8.59 = $45.81

Now, the mean:

Mean = 45.81/5 = $9.162

2nd week's total is 3 more than last week's total, so 2nd week's total is:

45.81 + 3 = $48.81

Now, Mean:

Mean = 48.81/5 = $9.762

The increase is  9.762 - 9.162 = $0.60

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(b) How much the selling price should be fixed for pulse bought for Rs.70 per kg. to earn a profit of Rs.6 after allowing a 5 %
Mama L [17]

Answer:

Rs. 80

Step-by-step explanation:

Given that :

Purchase price = 70

Profit = 6

Discount = 5%

Let selling price = x

Selling price * (1 - discount) = (purchase price + profit)

x * (1 - 5%) = (70 + 6)

x * (1 - 0.05) = 76

x * 0.95 = 76

0.95x = 76

x = 76 / 0.95

x = 80

Hence, selling price = Rs. 80

3 0
3 years ago
The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What
Tcecarenko [31]

Answer:

Mean = 0.36

SD = 0.5817

P(x=3) = 0.003588

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

P(A) = 0.06

n = 6

Solving (a): Mean and Standard deviation.

The mean is:

Mean = np

Mean = 6 * 0.06

Mean = 0.36

The standard deviation is:

SD = \sqrt{np(1-p)}

SD = \sqrt{6*0.06*(1-0.06)}

SD = \sqrt{0.3384}

SD = 0.5817

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

P(x) = ^nC_x * p^x * (1-p)^{n-x}

So, we have:

P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}

P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3

P(x=3) = 20 * 0.06^3 * (1-0.06)^3

P(x=3) = 0.003588

7 0
3 years ago
Peter paid $12.83 for a DVD. The price of the DVD was $11.99. How much sales tax did Peter pay?
Bas_tet [7]
<span>Peter paid </span>84 cent in taxs
8 0
3 years ago
Read 2 more answers
Question Help
lorasvet [3.4K]

Answer:

The speed of the boat is 20 km/hr

Step-by-step explanation:

Let s be the speed of boat in still water

Let d be the distance

Upstream speed = s-4

Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.

So, Distance traveled in upstream =Speed \times time =(s-4) \times \frac{30}{60}

Downstream speed = s+4

So, Distance traveled in downstream = Speed \times time =(s+4) \times \frac{20}{60}

So, (s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}

30s-120=20s+80

10s=200

s=20

Hence The speed of the boat is 20 km/hr

6 0
3 years ago
The right cylinder in the diagram has a volume of 450 cm3. The other cylinder has a slant length of 10 cm, but the same base are
mezya [45]
A tilted or slanted cylinder has the same volume as its equivalent right cylinder, provided that
(a) the two bases of the tilted cylinder are parallel,
(b)  the base areas of the tilted and right cylinders are equal,
(c) the vertical height of the right and tilted cylinders are equal.

This fact can be verified by slicing the tilted cylinder into thin, flat washers, as in integral calculus.

Because all 3 conditions are satisfied, the volume of the tilted cylinder is 450 cm³.

Answer: 430 cm³
5 0
3 years ago
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