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blondinia [14]
3 years ago
7

(3x+1)/(3x+2) = (x+2)/(x-5)

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

x = -9/22 or -0.409 to the nearest thousandth.

Step-by-step explanation:

Cross multiplying we get:

(3x + 1)(x - 5) = (3x + 2)(x + 2)

3x^2 - 14x - 5 = 3x^2 +8x + 4

3x^2 - 3x^2 - 14x - 8x = 4 + 5

-22x = 9

x = -9/22

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Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with
Stels [109]

Answer:

P(X > 25) = 0.69

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.

This means that \mu = 26, \sigma = 2

Find P(X>25)

This is 1 subtracted by the pvalue of Z when X = 25. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 26}{2}

Z = -0.5

Z = -0.5 has a pvalue of 0.31

1 - 0.31 = 0.69.

So

P(X > 25) = 0.69

4 0
3 years ago
The graph of a quadratic function in shown below.
k0ka [10]

Answer:

NOT true:

A, C, D

Step-by-step explanation:

8 0
3 years ago
Delaney bought a crate for her puppy when it was 3 months old. The crate is in the shape of a rectangular prism. Since the puppy
Alika [10]

Answer:

The volume of the new crate is exactly 174.4% of the old crate.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism of dimensions x, y and z is given by:

V = xyz

She decided that the dimensions of the new crate needs to be increased by 40% of the original length.

Each dimension is increased by 40%, which means that each is multiplied by 1 + 0.4 = 1.4. So

V = 1.4x(1.4y)(1.4z) = (1.4)^3(xyz) = 2.744(xyz)

Percentage:

The new volume is 2.744 the original volume. Considering the original volume is 100% = 1, it increased by 2.744 - 1 = 1.744 = 1.744*100% = 174.4%.

The volume of the new crate is exactly 174.4% of the old crate.

7 0
3 years ago
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 89m long and 66m wide. F
Nastasia [14]
The area of the field will be given by:
Area=[area of the semi circle]+[area of rectangle]
Area of semicircle is given by:
Area=πr^2
where;
radius,r=66/2=33 m
thus;
Area=3.14*33^2
3,419.46 m^2

The area of the rectangle is given by:
Area=89*66
=5,874 m^2
Hence the area of the field will be:
A=(5,874)+(3,419.46)
A=9,293.46 m^2
6 0
3 years ago
Calculate the fuel economy of your family or personal car in terms of gallons per mile and the total cost for one fill-up git hu
iren [92.7K]

Answer:

0.028 Gallons/mile

Step-by-step explanation:

1 Gallon = 3.78541 Litres

1 Mile    = 1.60934 Km

Total Fuel Expenditure (Dec 2019) = PKR 7,000

Fuel cost / Litre = 114Litre/Km

Total Fuel consumption = (7000/114)

                                      = 61.40 Litres or 16.22 Gallons

Total Distance Travelled in Dec 2019 = 921 Km or 572.28 miles

Fuel Economy = 16.22/572.28

                       = 0.028 Gallons/mile

One time tank fill up cost = PKR 1,500

6 0
3 years ago
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