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tamaranim1 [39]
3 years ago
12

Kelvin plans to buy potato chips and coke with $50. If he buys 3 packs of potato chips and 2 cans of coke, $9 will be left. If h

e buys 4 packs of potato chips and 5 cans of coke, he will need $21 more. Find the prices of a pack of potato chips and a can of coke respectively.
Mathematics
2 answers:
Delicious77 [7]3 years ago
7 0
Let the prices of a pack of potato chips and can of coke be x and y respectively
3x+2y=50-9
3x+2y=41........... (1)
4x+5y=50+21
4x+5y=71............(2)
Multiply (1) with 4 and (2) with3
12x+8y=164
12x+15y=213
On subtracting above eqs. we get
7y= 49
y=7
Putting value of y in (2)
4x+5(7)=71
4x+35=71
4x=36
x=9
x=$9
y=$7
MARK IT BRANLIEST PLZZZ....

motikmotik3 years ago
5 0
So the answer is 10.00 because the coke
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Two ways to write 41,378
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Numbers 41,378 or words forty one thousand three hundred seventy eight
3 0
3 years ago
Suppose calls are arriving at a telephone exchange at an average rate of one per second, according to a Poisson arrival process.
antoniya [11.8K]

Answer:

Explanation has been given below

Step-by-step explanation:                    

a) inter arrival times are exponentially distributed with mean 1/n , where n = rate = 1/sec.                                                                              

  probability distribution function is F(t)=n*exp(-n*t).  

reference to any kth packet and the (k-1)th packet

the answer is = integration of F(t).dt with limits 0 to 2 = 1 - exp(-2*n) = 1 - exp(-2)  

b)  t=5 , P(q) = exp(-5)*(5)^q/factorial(q)  

probability of fourth call within t=5 seconds is =  

that is P(4)   P(5)   ......  = 1 - ( P(0)   P(1)   P(2)   P(3) ) ;  put the values and get the answer.  

c) number of calls/rate =  4/n = 4 seconds

5 0
3 years ago
In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi
coldgirl [10]

Answer:

C.I =  0.7608   ≤ p ≤   0.8392

Step-by-step explanation:

Given that:

Let consider a  random sample n = 400 candidates where  320 residents indicated that they voted for Obama

probability \hat p = \dfrac{320}{400}

= 0.8

Level of significance ∝ = 100 -95%

= 5%

= 0.05

The objective is to  develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

=\hat p  \pm Z_{\alpha/2} \sqrt{\dfrac{ p(1-p)}{n } }

where;

Z_{0.05/2} = Z_{0.025} = 1.960

SO;

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }

=0.8  \pm 1.960 \sqrt{\dfrac{ 0.16}{400 } }

=0.8  \pm 1.960 \sqrt{4 \times 10^{-4}}

=0.8  \pm 1.960 \times 0.02}

=0.8  \pm 0.0392

= 0.8 - 0.0392     OR   0.8 + 0.0392  

= 0.7608    OR    0.8392

Thus; C.I =  0.7608   ≤ p ≤   0.8392

3 0
3 years ago
Will give, Branliest.<br><br>Thanks,<br>:)​
Dmitriy789 [7]

Answer:

(look at this equation) y=3x+2

Step-by-step explanation:

1. 2y-6x=4

2. Add -6x over to the other side

3. Subtract 2 from both sides

4. Look and see which points according to the equation that I answered for you.

8 0
2 years ago
Read 2 more answers
Karla's jewelry box is shaped like a rectangular prism. The bottom surface of the box has an area of 65 square inches. The heigh
koban [17]

Answer:

780  cubic inches

Step-by-step explanation:

Step one:

Given data

The bottom surface of the box has an area of 65 square inches.

Already given an area and a height of 12 in

we proceed to find the volume by multiplying Area and height

Required

The volume of the box

Volume= Area* height

Step two:

Volume= 65*12

Volume = 780  cubic inches

6 0
2 years ago
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