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3 years ago

6

Tito went to a concert given by a jazz band. The band had 5 saxophone players and 4 trumpet players. What was the ratio of trump

et players to saxophone player in the band

1 answer:

KonstantinChe [14]3 years ago

7 0

5:4 is the ratio......

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You want to get a Dodgers shirt for Opening Day. The shirt you want is $36. Luckily, it is marked 25% off. You will have to pay

OlgaM077 [116]

Answer:

Part A

= $9

Part B

= $3.24

Part C

= $30.24

Step-by-step explanation:

Part A

= 36÷100x25

= $9

Part B

=36÷100x9

=$3.24

Part C

=36-9

=27

Then

=27+3.25

= $30.24

6 0

3 years ago

Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(c) The value of P (X < 30) is 0.9502.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

$P(X$

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

$P(X$

Take natural log on both sides.

$ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30$

Thus, the value of x is 30.

7 0

3 years ago

How many x intercepts appear on the graph of this polynomial function? f(x)=x^4-5x^2 1 x intercept 2 x intercepts 3 x intercepts

Bumek [7]

You can find the number of x intercepts by setting f(x) equal to zero giving you 0=x^4-5x^2. You can factor out an x^2 and divide on both sides (when you divide 0 by anything it is still zero so the x^2 disappears), and you are left with 0=x^2-5, which you can solve easily giving you x=+/- sqrt(5). However, the original equation also has an x intercept at (0,0) which you can see by plugging 0 in for x. So the grand total of x intercepts is 3!

5 0

3 years ago

Read 2 more answers

Express the radical using the imaginary unit, i.<br> Express your answer in simplified form.

elixir [45]

Answer:

$\pm i\sqrt{38}$

Step-by-step explanation:

Given radical is $\pm \sqrt{-38}$

We can rewrite the radical as,

$\pm\sqrt{-38}=\pm(\sqrt{-1}\times \sqrt{38})$

$=\pm(i\sqrt{38})$

(Since, i = $\sqrt{-1}$ )

Therefore, simplified form of the given radical will be,

$\pm \sqrt{-38}=\pm i\sqrt{38}$

6 0

3 years ago

Simplify quantity 15 x squared minus 18 end quantity over 6. 15x + 3 x + 3 quantity 5 x squared minus 18 end quantity over 2 qua

Maru [420]

The expressions are:

(5x² - 6)/ 2
5x² - 18/2
5x² -6 /2

<h3 /><h3>What is expression?</h3>

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.
Variable: A symbol without a set value is referred to as a variable.
Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.
Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

15 x squared minus 18 end quantity over 6.

= 15x² - 18 / 6

= 3(5x² - 6)/ 6

= (5x² - 6)/ 2

and, 5 x squared minus 18 end quantity over 2

= 5x² - 18/2

and, 5 x squared minus 6 end quantity over 2

= 5x² -6 /2

Learn more about expression here:

brainly.com/question/16804733

#SPJ1

3 0

1 year ago