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stiv31 [10]
3 years ago
7

Simon and greg shared pencils in the ratio 7:5. if simon gives away 30 pencils and greg gets 30 more pencils, they will have the

same number of pencils. how many did each of them have in the beginning?
Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0
Simon has 210 pencils
 Greg has 150 pencils
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A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi
anzhelika [568]

Answer:

lowest score a college graduate must earn to qualify for a responsible position is 578

correct option is D. 578

Step-by-step explanation:

given data

mean = 500

standard deviation = 50

distribution = 6 %

to find out

What is the lowest score a college graduate must earn to qualify for a responsible position

solution

we know that here Probability P that is express as

P ( Z > x ) = 100% - 6%      .....................1

so with the help of normal table

here value of Z is =  1.55 from cumulative probability 0.94

so by z score formula here x will be

x = z × standard deviation +  mean    ................2

so put here value

x = 1.55 × 50 + 500

x = 577.7387 ~ 578

so lowest score a college graduate must earn to qualify for a responsible position is 578

8 0
4 years ago
The volume of a triangular prism is 264 cubic feet. The area of a base of the prism is 48 square feet. Find the height of the pr
Molodets [167]
Height=5.5ft  , because the cubic feet of the prisim divded by the square feet of 48 is 5.5 feet
7 0
3 years ago
See image, finding the height of a triangle with law of sines
djyliett [7]

Answer:

height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)

Step-by-step explanation:

The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117

°.

angle TDE = 117°

angle DTE = 180° - 117° - 31° = 32°

DE = 346.4 m

Side TD can be find using sine law

346.4/sin 32° = TD/sin 31°

cross multiply

346.4 × 0.51503807491  = 0.52991926423TD

178.409189149  = 0.52991926423TD

divide both sides by 0.52991926423

TD = 178.409189149/0.52991926423

TD  =  336.672397461

TD ≈ 336.67 m

The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.

Using sin ratio

sin 63° = opposite/hypotenuse

sin 63° = h/336.67

cross multiply

h = 336.67 × 0.89100652418

h = 299.975166498

height of the Eiffel tower  ≈ 300.0 m(nearest tenth of a meter)

4 0
3 years ago
Which of the following are true of F(x)?
Mama L [17]
You forgot to put the options and the rest of the equation
4 0
3 years ago
Classify the following function.
nikklg [1K]

The function given can be classified as a function. That is option C.

<h3>What is a function in mathematics?</h3>

Function can be defined as the expression that has both an x domain value and a y range value and it's being classified based on the quality of these values.

A function can be represented based on their roster forms.

Using the function equation given, f(X) = 10.2^2

Here, the first element is the domain or the x value and the second element is the range or the f(x) value of the function.

Learn more about arithmetic function here:

brainly.com/question/10439235

#SPJ1

3 0
2 years ago
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