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3 years ago

Directions: 1. Assume each person is following Dave’s advice of investing 15% of his or her annual household income.

Mathematics

1 answer:

Rudik [331]3 years ago

8 0

I believe you don't need to do any work at all except to divide everything by 25%.
I hope I helped you out!

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You will explain how to go about solving for the unknown letters A B C D using your angle vocabulary /concepts. Organize your se

Mamont248 [21]

Answer:

To find c° go with Triangle Sum Theorem .

To find d° go with Supplementary Angle with 58°.

To find a° go with Transverse Angles.

To find b° go with Transverse Angles .

Step-by-step explanation:

c° = 180- 58 - 48 = 74°

b° = 48°

d° = 180 - 58 = 122°

a° = 58°

3 0

3 years ago

You need 300 mL of a 65% alcohol solution. On hand, you have a 50% alcohol mixture. How much of the 50% alcohol mixture and pure

artcher [175]

Answer:

You will need 220 mL of the 60% solution and 80 mL of pure alcohol.

Step-by-step explanation:

Let 'x' be the amount of 50% alcohol solution and y the amount of pure alcohol.

Therefore:

(0.5x + y)/300 = 0.65 ⇒ 0.5x + y = 190

x + y = 300

Solving the sistem of equations:

x = 220 and y = 080

Therefore, You will need

220 mL of the 60% solution

and 80 mL of pure alcohol.

8 0

3 years ago

Assume that the random variable X is normally distributed, with mean mu equals 100 and standard deviation sigma equals 20. Comp

TEA [102]

Answer: 0.2119

Step-by-step explanation:

We assume that the random variable X is normally distributed.

Given : Population mean : $\mu=100$

Standard deviation : $\sigma=20$

Z-score : $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to 116

$z=\dfrac{116-100}{20}=0.8$

By using the standard normal distribution table for z , we have

$P(x>116)=P(z>0.8)=1-P(z\leq0.8)$

$=1-0.7881446\approx0.2119$

Hence, the required probability = 0.2119

4 0

3 years ago

I need help finding this answer to this inequality -10[9-2x]-x≤2x-5

Ad libitum [116K]

Answer:

x≤5

Step-by-step explanation:

-10(9-2x)-x≤2x-5

-90+20x-x≤2x-5

19x-2x≤90-5

17x≤85

x≤85/17

x≤5

8 0

3 years ago

Write an equation in slope-intercept form of the line shown.

Stolb23 [73]

In slope intercept, the equation is y = -x - 4

4 0

3 years ago

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