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3 years ago

Here are 2 math promblems please help

Mathematics

1 answer:

Verizon [17]3 years ago

3 0

3. The original price of the trampoline is $72

The marked off price is 72 times 70 percent.

72 x .70 = 50.4

The sales tax is 5%

50.4 + 50.4 x 0.05

50.4 + 2.52

52.92

He paid $52.92 in total.

4. A store bought a leaf blower for $48.50 and marked it up 100%

This cost would be 48.5 x 2 which is $97

The sales tax is 6%

97 + 97 x 0.06

97 + 5.82

102.82

The total cost was $102.82

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A. What is the probability that this couple spends 45 dollars or more?

guapka [62]

Using the probability table, it is found that:

a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

b) The expected amount the couple actually has to pay is $36.85.

Item a:

To find the probabilities involving the total cost, we have to add the variables X and Y from the table, then:

$P(X = 30) = P(X = 15|Y = 15) = 0.2$

$P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3$

$P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25$

$P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2$

$P(X = 50) = P(X = 25|Y = 25) = 0.05$

The probability involving values of 45 or more is:

$P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25$

0.25 = 25% probability that this couple spends 45 dollars or more.

Item b:

For a discrete distribution, the expected value is the sum of each outcome multiplied by it's respective probability, hence, involving the 10% discount for prices above $45:

$E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85$

The expected amount the couple actually has to pay is $36.85

A similar problem is given at brainly.com/question/25782059

8 0

2 years ago

I'm can't seem to find a common base. I know the answer's x=4 but I thought it was x=0.

EleoNora [17]

64^x = 256 * 16^x

2^6x = 2^8 * 2^4x

2^6x = 2^(4x+8)

6x = 4x +8

2x = 8

x = 4

7 0

4 years ago

Please solve 2x+3=x−4

ddd [48]

The answer is x = -7

4 0

3 years ago

Read 2 more answers

Enter the trigonometric equation you would use to solve for x. Do not solve the equation.

pentagon [3]

Answer:

$x=12\times \text{tan}(20^0)$

Step-by-step explanation:

From the figure attached,

Measure of an angle = 20°

Measure of the opposite side = x

Measure of the adjacent side = 12

By applying tangent rule in the given right triangle,

tan(20°) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

$\text{tan}(20^0)=\frac{x}{12}$

$x=12\times \text{tan}(20^0)$

Therefore, equation to get the value of 'x' will be,

$x=12\times \text{tan}(20^0)$

3 0

3 years ago

If tan of theta =3/4 what is sec of theta

zhannawk [14.2K]

Answer:

5/4

Step-by-step explanation:

Given :

tanθ = 3/4 = opposite/adjacent

Finding the missing side :

The hypotenuse must be found
√3² + 4²
√25
5

Taking the sec ratio :

secθ = hypotenuse/opposite
secθ = 5/4

7 0

2 years ago