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REY [17]
2 years ago
8

Three friends split the total cost of a lunch bielach friend paid $ 13.59 what was the

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
8 0

what was the-

Step-by-step explanation:

You might be interested in
The amount of carbon-14 in an object is given by y = ae– 0.00012t where a is the initial amount of carbon and t is the age in ye
Reptile [31]

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

\frac{y}{a} = e^{-0.00012\cdot t} (1)

Where:

y - Current amount of carbon-14, no unit.

a - Initial amount of carbon-14, no unit.

t - Time, in years.

If we know that \frac{y}{a} = 0.25, then the approximate age of the bone is:

t = -8333.333\cdot \ln \frac{y}{a}

t\approx 11552.453\,yr

The approximate age of the bone is approximately 11552 years.

4 0
2 years ago
What is the range of g(x) = - 2x + 3, if the domain is {-2, - 1,0, 1, 2}?
pshichka [43]

Answer:

{ - 1, 1, 7, 23 }

Step-by-step explanation:

To find the range substitute the values from the domain into g(x)

g(-2) = -2(- 2) + 3 = 4 + 3 = 7

g(- 10) = - 2(- 10) + 3 = 20 + 3 = 23

g(1) = - 2(1) + 3 = - 2 + 3 = 1

g(2) = - 2(2) + 3 = - 4 + 3 = - 1

Range is { - 1, 1, 7, 23 }

7 0
3 years ago
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probab
kolezko [41]

Answer:

(a) 0.6579

(b) 0.2961

(c) 0.3108

(d) 240

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of particles in a suspension.

The concentration of particles in a suspension is 50 per ml.

Then in 5 mL volume of the suspension the number of particles will be,

5 × 50 = 250.

The random variable <em>X</em> thus follows a Poisson distribution with parameter, <em>λ</em> = 250.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.  

The mean of the approximated distribution of X is:

μ = λ  = 250

The standard deviation of the approximated distribution of X is:

σ = √λ  = √250 = 15.8114

Thus, X\sim N(250, 250)

(a)

Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:

P(235

                             =P(-0.95

Thus, the value of P (235 < <em>X</em> < 265) = 0.6579.

(b)

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.28

Thus, the value of P(48.

(c)

A 10 mL sample is withdrawn.

Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:

P(48

                             =P(-0.40

Thus, the value of P(48.

(d)

Let the sample size be <em>n</em>.

P(48

                             0.95=P(-z

The value of <em>z</em> for this probability is,

<em>z</em> = 1.96

Compute the value of <em>n</em> as follows:

z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241

Thus, the sample selected must be of size 240.

5 0
3 years ago
Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho
OLEGan [10]

Answer:

pair of jeans = 21  

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

            Equation 1:    5x + 2y = 166                                            

3 pair of jeans and 4 shirts for $164. This means:

                               2x + 4y = 164

Dividing both sides by 2, we get:

           Equation 2:      x + 2y = 82                                            

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

4 0
2 years ago
What is the product for 3-7x​
Arlecino [84]

Answer:

=3/7 × -2/5

=-6 / 35

Step-by-step explanation:

4 0
2 years ago
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