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4 years ago

Anybody know the answer?

Mathematics

1 answer:

Darya [45]4 years ago

8 0

Sure. We see all three right triangles are similar since each has corresponding congruent angles. We can think of them as all having a common three way ratio:

short leg : long leg : hypotenuse

In the smallest triangle the short leg is a+5 and the long leg is 12.

In the medium triangle the short leg is 12 and the long leg is 18

So the relevant ratio is

(a+5) / 12 = 12 / 18

a+5 = 12 × 2/3

a = 8 - 5

a = 3

Answer: A. 3

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Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0. For what value of c is f a probability density function? for that value of

Yuliya22 [10]

The value of c such that the function f is a probability density function is 2

<h3>How to determine the value of c?</h3>

The density function is given as:

f(x) = cxe^(−x^2) if x ≥ 0

f(x) = 0 if x < 0.

We start by integrating the function f(x)

∫f(x) = 1

This gives

∫ cxe^(−x^2) = 1

Next, we integrate the function using a graphing calculator.

From the graphing calculator, we have:

c/2 * (0 + 1) = 1

Evaluate the sum

c/2 * 1 = 1

Evaluate the product

c/2 = 1

Multiply both sides of the equation by 2

c = 2

Hence, the value of c such that the function f is a probability density function is 2

Read more about probability density function at

brainly.com/question/15714810

#SPJ1

8 0

2 years ago

A student bikes 1/4 mile to school. After school, the student bikes 1/3 mile to a cousin’s house. Finally, the student bikes 7/1

gizmo_the_mogwai [7]

The miles the student biked in two weeks is 11 2/3 miles.

The distance the student bikes is given in fractions. Fractions are numbers that are made up of numerator and denominators. An examples of a fraction is 1/4. 1 is the numerator and 4 is the denominator.

In order to determine the distance biked in 2 weeks, the distance biked in a day has to be determined.

Distance biked in a day = (1/4 + 1/3 + 7/12)

14/12 = 1 2/12 = 1 1/6

Distance he would travel in 2 weeks

1 1/6 x 10

7/6 x 10 = 70 /6 = 11 2/3 miles

To learn more about fractions, please check: brainly.com/question/848992

5 0

3 years ago

Imagine that you have entered the following distribution of scores into the program: 7, 9, 6, 3, 7, 8, 4, 10, 7, 9. The mean of

ozzi

Answer:

Step-by-step explanation:

Mean refers to the average value of the set of data.

It is the central value of the set of data.

Another word for Mean is average.

Given scores:7, 9, 6, 3, 7, 8, 4, 10, 7, 9

Solution:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 4+ 10+ 7+ 9=70$

Number of observations = 10

Mean = Sum of observations/Number of observations = $\frac{70}{10}=7$

If observation 3 is removed:

Sum of observations = $7+ 9+ 6+ 7+ 8+ 4+ 10+ 7+ 9=67$

Number of observations = 9

Mean = Sum of observations/Number of observations = $\frac{67}{9}=7.44$

If observation 4 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 10+ 7+ 9=66$

Number of observations = 9

Mean = $\frac{66}{9}=7.3$

If observation 6 is removed:

Sum of observations = $7+ 9+ 3+ 7+ 8+ 4+ 10+ 7+ 9=64$

Number of observations = 9

Mean = $\frac{64}{9}=7.1$

If observation 7 is removed:

Sum of observations = $9+ 6+ 3+ 8+ 4+ 10+ 9=49$

Number of observations = 7

Mean = $\frac{49}{7}=7$

If observation 8 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 4+ 10+ 7+ 9=62$

Number of observations = 9

Mean = $\frac{62}{9}=6.9$

If observation 9 is removed:

Sum of observations = $7+ 6+ 3+ 7+ 8+ 4+ 10+ 7=52$

Number of observations = 8

Mean = $\frac{52}{8}=6.5$

If observation 10 is removed:

Sum of observations = $7+ 9+ 6+ 3+ 7+ 8+ 4+ 7+ 9=60$

Number of observations = 9

Mean = $\frac{60}{9}=6.7$

Therefore, mean of this distribution of scores would be changed the most if a score 3 was removed from the data set.

6 0

4 years ago

Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$

<h3>Hence the value of c is (-14)/3 .</h3>

4 0

3 years ago

Use one unit multiplier to convert 5,000 meters to centimeters

wel

Answer:

5000 meters = 5000 × 100 = 500000 centimeters.

Conversion of 5000 meters to other length, height & distance units

5000 meters = 5 kilometers

5000 meters = 50000 decimeters

5000 meters = 5000000 millimeters

5000 meters = 5 × 1013 angstroms

5000 meters = 3.11 miles

5000 meters = 2730 fathoms

5000 meters = 5470 yards

5000 meters = 16400 feet

5000 meters = 49200 hands

5000 meters = 197000 inches

5000 meters = 43700 fingers

5000 meters = 1562 1

bamboos

5000 meters = 588000 barleycorns

4 0

2 years ago