290 pennies are equal to how many dimes

1 point

olga nikolaevna [1]

Answer:

$95

Step-by-step explanation:

hope this helps

4 0

3 years ago

Read 2 more answers

Use the drawing tools to form the correct answer on the graph. Plot function f on the graph. f(x)= 3, -9

Butoxors [25]

The equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.

<h3>What is the definition of a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

A function has to be plot which has the value of f(x) as 3 and -9. Here, 3 and -9 are the solution of the function. Thus,

x=3

x-3=0

The second solution is,

x=-9

x+9=0

Multiply both factor for the function as,

f(x)=(x-3)(x+9)

f(x)=x²+9x-3x-27

f(x)=x²+6x-27

This is the required function. The graph of this function is attached below.

Thus, the equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.

Learn more about Function here:

brainly.com/question/5245372

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6 0

2 years ago

A right rectangular prism with square bases has a height of 20cm and a volume of 800 cubic centimeters. Which statements describ

scoundrel [369]

Answer:

The area of the rectangular prism is 40cm²

Step-by-step explanation:

To calculate the volume of a rectangular prism we have to use the following formula:

a = area

v = volume = 800 cm³

h = height = 20 cm

v = a * h

we replace the values that we know

800cm³ = a * 20cm

800cm³ / 20cm = a

40cm² = a

v = 70ft³

The area of the rectangular prism is 40cm²

7 0

3 years ago

In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t

Galina-37 [17]

Answer:

The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.

4 0

3 years ago

1. (10 marks) A study of the home purchasing habits of Canadians in show homes found the following interesting facts. The probab

Butoxors [25]

Answer:

$1 a. P(X=1)=0.3809\\\\b. P(X\geq 1)=0.5721\\c. \mu_x=0.81, \ \ \ \sigma_x=0.7371\\d. Increase \ n$

$2.a. 0.2438\\b. 0.6227\\c. \mu_8=17.6, \ \sigma_8=4.1952$

Step-by-step explanation:

The purchase of a house has binomial distribution with p=9% and n=9

a. To find the probability of one house being sold:

$p(x)={n\choose x}p^x(1-p)^{n-x}$

The value of x is 1:

$p(x)={n\choose x}p^x(1-p)^{n-x}\\\\\\P(X=x)={9\choose 1}0.09(1-0.09)^8\\\\=0.3809$

Hence, the probability that one house is sold that day is 0.3809

b.The probability of at least one house is the same as the 1 minus the probability that no house was sold:

$p(x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 1)=1-P(X=0)\\\\=1-{9\choose 0}0.09^0(0.91)^9\\\\=1-0.4279\\\\=0.5721$

Hence,the probability that at least one house is sold that day is 0.5721

c. The mean of a binomial distribution is the product of the number of events times the probability of success=np

From a above, n=9 and p=0.09:

$\mu_x=np, \ n=9 , \ p=0.09\\\\=9\times 0.09\\\\=0.81$

#The standard deviation is calculated as np(1-p):

$\sigma_x=np(1-p),\ n=9, p=0.09\\\\=9\times 0.09\times 0.91\\\\=0.7371$

Hence, the distribution has a mean of 0.81 and a standard deviation of 0.7371

d. Given that the probability of success is low, the overall successful events can only be increased by increasing the sample size, say n should be increased to 1000.

2. a.Given a Poisson distribution with mean=2.2

-The probability in a Poisson distribution is expressed as:

$P(x;\mu)=\frac{e^{-\mu}\mu^x}{x!}$

The probability of one person showing up is calculated as:

$P(x;\mu)=\frac{e^{-\mu}\mu^x}{x!}\\\\P(1,2.2)=\frac{e^{-2.2}2.2^1}{1!}\\\\=0.2438$

Hence , the probability that exactly one person shows up during a 1-hour period is 0.2438

b. the probability that at most 2 people will show up during a 1-hour period is calculated as:

$P(x;\mu)=\frac{e^{-\mu}\mu^x}{x!}\\\\P(x\leq2 ;\mu)=P(x=0;\mu)+P(x=1;\mu)+P(x=2 ;\mu)\\\\=\frac{e^{-2.2}2.2^0}{0!}+\frac{e^{-2.2}2.2^1}{1!}+\frac{e^{-2.2}2.2^2}{2!}\\\\=0.1108+0.2438+0.2681\\\\=0.6227$

Hence,the probability that at most 2 people will show up during a 1-hour period is 0.6227

c. The mean and variance of a Poisson distribution is equal:

$E(X)=\mu=Var(X)=\sigma^2, \mu=2.2\\\\8E(X)=8(2.2)=\mu_8\\\\\mu_8=17.6\\\\V(X)=\sigma^2=17.6\\\\\sigma=4.1952$

Hence the mean after 8 hrs is 17.6 and the standard deviation will be 4.1952

6 0

3 years ago