2. Is (-4, 10) a solution to the equation 10

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that

Alex73 [517]

Answer: 3528.25

Step-by-step explanation:Make a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

8 0

3 years ago

Metal A has a density of 12.7 g/cm3.

stira [4]

Using the given information, the density of metal B is 8.58 g/cm³

<h3>Calculating density </h3>

From the question, we are to determine the density of metal B

From the given information,

55 g of metal A is combined with metal B to create an alloy with mass 90 g

∴ Mass of metal B in the alloy = 90 g - 55 g = 35 g

Now, we will determine the volume of metal A in the alloy

Using the formula,

Density = Mass / Volume

∴ Volume = Mass / Density

Volume of metal A in the alloy = 55/12.7

Volume of metal A in the alloy = 4.33 cm³

Then, we will determine the volume of the alloy

Volume of the alloy = 90/10.7

Volume of the alloy = 8.41 cm³

∴ Volume of metal B in the alloy = 8.41 cm³- 4.33 cm³

Volume of metal B in the alloy = 4.08 cm³

Now, for the density of metal B

Density = mass / volume

Density of metal B = 35 / 4.08

Density of metal B = 8.58 g/cm³

Hence, the density of metal B is 8.58 g/cm³.

Learn more on Calculating density here: brainly.com/question/13986137

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5 0

2 years ago

Solve the equation -10 (g - 6) = -65

Elanso [62]

Step-by-step explanation:

$- 10(g - 6) = - 65 \\ - 10g + 60 = - 65 \\ - 10g = - 125 \\ 10g = 125 \\ g = \frac{25}{2}$

5 0

3 years ago

are false positives too common in some medical tests? researchers conducted an experiment involving 250 patients with a medical

GaryK [48]

The false positive and false negative rates for the medical test are given as:

6.67% and
4.00% respectively.

<h3>What is a false positive?</h3>

A false positive is an outcome in which the model forecasts the positive class inaccurately. A real positive result is one in which the model accurately predicts the positive class.

To determine the false positives and false negatives of the tests, we use the principle of probability.

Probability (p) = Number of Favorable outcomes/Total number of Exhaustive outcomes

Recall that 240 of the 250 patients were accurately recognized. Also, 50 healthy people were diagnosed to have the ailment. Hence, the test's false positive (FP) and false negative (FN) rates can be estimated as follows:

Hence P (False Positive) = 50 / 750 = o.0667 or 6.67%

P (False Negative) = 10/750 = 0.0400 or 4.00%.

Therefore, the required rates are 6.67% and 4.00% accordingly.

Learn more about False negatives:
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Full Question:

Testing the test Are false positives too common in some medical tests? Researchers conducted an experiment involving 250 patients with a medical condition and 750 other patients who did not have the medical condition. The medical technicians who were reading the test results were unaware that they were subjects in an experiment.

Question: Technicians correctly identified 240 of the 250 patients with the condition. They also identified 50 of the healthy patients as having the condition. What were the false positive and false negative rates for the test? (See table below)

Medical patients Other Conditions Total

Correctly identified 240 700 940

Incorrectly identified 10 50 60

Total 250 750 1000

3 0

1 year ago

WHAT PROPERTY IS USED IN THIS EQAUATION (x + y)z = xz + yz

vladimir2022 [97]

Answer:

Distributive Property.

Step-by-step explanation:

6 0

3 years ago

2. Is (-4, 10) a solution to the equation 10 - 5x=y? –