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nataly862011 [7]
3 years ago
6

Mark set his watch 12.96 seconds behind, and it falls behind another 1.97 seconds every day. How many days has it been since Mar

k last set his watch if the watch is 20.84 seconds behind?
Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:13 to 14

Step-by-step explanation:

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The perimeter of a rectangular garden is 78 feet. the width is six feet less than twice the length. Find the length and width of
Phoenix [80]

Answer:

L=7.94 feet, W=9.88 feet

Step-by-step explanation:

perimeter=78 feet

LxW=78

2L-6=W

substitute

Lx(2L-6)=78

2L^2-6L=78

2L^2-6L-78=0

factor

(2L-15.86)(L+4.95)=0

2L=15.88, L=7.94

L=-7.94 feet

5 0
3 years ago
A department store wants to know what fraction of its customers in a certain market have store credit cards, and what their aver
bearhunter [10]

Answer:

The 98% confidence interval for the average credit card balance is

(564.04, 635.96).

Step-by-step explanation:

We have to calculate the 98% confidence interval on the average credit card balance.

The sample will consist of the n=30 customers that have credit card.

The sample has a mean of $600 and a standard deviation of $80.

As the population standard deviation is estimated from the sample standard deviation, we will use a t statistic.

The degrees of freedom are:

df=n-1=30-1=29

The critical value for a 98% CI and 29 degrees of freedom is t=2.463 (this can be looked up in a t-table).

Then, the margin of error is:

E=t\cdot s/\sqrt{n}=2.463*80/\sqrt{30}=197.04/5.48=35.96

Then, the upper and lower bounds of the confidence interval are:

LL=\bar X-E=600-35.96=564.04\\\\UL=\bar X+E=600+35.96=635.96

4 0
3 years ago
≠A student took a system of equations, multiplied the first equation by and the second equation by , then added the results toge
Mandarinka [93]

Answer:

C. 3x+6y=9  and-2x-4y=4

Step-by-step explanation:

Given

Steps:

  • Multiply equation 1 by 2
  • Multiply equation 2 by 3
  • Add the results together

The attachment completes the question

(a): -2x+4y=4 and -3x+6y=6

Multiply by 2: -2x+4y=4 ===> -4x + 8y = 4

Multiply by 3: -3x+6y=6 ===> -6x + 12y = 12

Add together

-4x - 6x + 8y + 12y = 4 + 12

-10x + 20y = 16

B. 3x+y=12  and -3x+6y=6

Multiply by 2: 3x+y=12 ===> 6x + 2y = 24

Multiply by 3: -3x+6y=6 ==> -9x + 18y = 18

Add together:

6x - 9x + 2y + 18y = 24 + 18

-3y + 10y = 42

C. 3x+6y=9  and-2x-4y=4

Multiply by 2: 3x+6y=9 ===>6x + 12y = 18

Multiply by 3: -2x-4y=4 ===> -6x - 12y = 12

Add together:

6x - 6x + 12y - 12y = 18 + 12

0 = 30

This is the equation the student could have used because 0 = 30 means the equation has no solution.

5 0
3 years ago
PLEASE HELP<br> Which statement correctly explains whether lim g(x)<br> X-3<br> exists?
valina [46]

Answer:

the answer is A on Edge

A) The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.

Step-by-step explanation:

took the quiz :)

3 0
3 years ago
Walmart sell toothbrushes for 3.50 a pack but only pays 1.15 for them.What is the markup rate based on selling price?(answer Qui
netineya [11]

Answer:

2.45

Step-by-step explanation:

3.50

3-1= 2

50-15= 45

3.50 -1.15= 2.45

7 0
3 years ago
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