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3 years ago

How do i solve this? ASAP!

Mathematics

1 answer:

lukranit [14]3 years ago

8 0

Answer:

Similar triangles states the length of the corresponding sides are in proportion.

In a given similar triangles:

Labelled the diagram:

Triangle BAC and triangle DAC are similar.

then;

Corresponding sides:

$\frac{AB}{AD} = \frac{BC}{DC}$

AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units

$\frac{x}{15} = \frac{5}{3}$

By cross multiply we get;

$3x = 15 \cdot 5$

Simplify:

$3x = 75$

Divide both sides by 3 we get;

$\frac{3x}{3}=\frac{75}{3}$

Simplify:

x = 25 units

Therefore, the value of x is 25 units.

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Mrs. Rivera has bars of chocolate in a box. The total mass of bars of chocolate in the box is 3 kilograms. What is the mass in g

sergeinik [125]

Answer:The chocolate in the box is 3000 grams.

Every Kilogram has 1000 grams

You multiply 1000×3=3000

6 0

3 years ago

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that $\mu = 20 + 15 + 30 = 65$

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that $\sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926$

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

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

$Z = \frac{60 - 65}{2.6926}$

$Z = -1.86$

$Z = -1.86$ has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0

2 years ago

Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding a

Sedbober [7]

Answer:

The number of combinations will she have to analyze is 10.

Step-by-step explanation:

We know that Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. We calculate the number of combinations will she have to analyze.

$C^5_3=\frac{5!}{3!(5-3)!}=\frac{5\cdot 4\cdot 3!}{3!\cdot 2\cdot 1}=10$