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3 years ago

A car is 195 inches long. A truck is 85% longer than the car. How long is the truck?

Mathematics

1 answer:

harina [27]3 years ago

5 0

Answer:

360.75 inches long

Step-by-step explanation:

85%= 85/100

85/100 x195= 165.75

165.75+195= 360.75

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almond37 [142]

Answer:

Step-by-step explanation:

32 is the correct answer

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Nady [450]

Answer:

x=27

Step-by-step explanation:

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The random variable x represents the number of computers that families have along with the corresponding probabilities. Find the

Elena L [17]

Answer:

The correct option is (d).

Step-by-step explanation:

The complete question is:

The random variable x represents the number of computers that families have along with the corresponding probabilities. Use the probability distribution table below to find the mean and standard deviation for the random variable x.

x : 0 1 2 3 4

p (x) : 0.49 0.05 0.32 0.07 0.07

(a) The mean is 1.39 The standard deviation is 0.80

(b) The mean is 1.39 The standard deviation is 0.64

(c)The mean is 1.18 The standard deviation is 0.64

(d) The mean is 1.18 The standard deviation is 1.30

Solution:

The formula to compute the mean is:

$\text{Mean}=\sum x\cdot p(x)$

Compute the mean as follows:

$\text{Mean}=\sum x\cdot p(x)$

$=(0\times 0.49)+(1\times 0.05)+(2\times 0.32)+(3\times 0.07)+(4\times 0.07)\\\\=0+0.05+0.64+0.21+0.28\\\\=1.18$

The mean of the random variable x is 1.18.

The formula to compute variance is:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}\cdot p(x)$

$=(0^{2}\times 0.49)+(1^{2}\times 0.05)+(2^{2}\times 0.32)+(3^{2}\times 0.07)+(4^{2}\times 0.07)\\\\=0+0.05+1.28+0.63+1.12\\\\=3.08$

Compute the variance as follows:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

$=3.08-(1.18)^{2}\\\\=1.6876$

Then the standard deviation is:

$\text{Standard deviation}=\sqrt{\text{Variance}}$

$=\sqrt{1.6876}\\\\=1.2990766\\\\\approx 1.30$

Thus, the mean and standard deviation for the random variable x are 1.18 and 1.30 respectively.

The correct option is (d).

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3 years ago

HCF AND LCM of 32 and 48 using the prime factorisation

torisob [31]

Answer:

Below.

Step-by-step explanation:

32 = 2*2*2*2*2

48 = 2*2*2*2*3

So The GCF = 2*2*2*2 = 16.

LCM = 2*2*2*2*2*3 = 96

3 0

3 years ago

What is -3x squared + 2y squared + 5xy - 2y + 5x squared - 3y squared in the simplest form??

Novay_Z [31]

2x^2 - y^2 + 5xy - 2y

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4 years ago