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2 years ago

In simplest form, what is the ratio of triangles to circles?

2 answers:

6 0

There are 3 shapes present.

Triangle - 2
Circle - 4
Square - 2

Ratio of triangles to cirles: 2 triangles to 4 circles ⇒ 2/4
2/4 simplified to 1/2.

Brrunno [24]2 years ago

6 0

Let

T-------> number of triangles in the data set

C-------> number of circles in the data set

S-------> number of squares in the data set

N------> number of total elements in the data set

we have

$Set=(triangle, circle, square, circle, circle, square, triangle, circle)$

we know that

$T=2\\ C=4\\ S=2\\ N=8$

The ratio of triangles to circles is equal to

$r=\frac{T}{C} \\ \\ r=\frac{2}{4}$

Divide by $2$ boths numerator and denominator

$r=\frac{\frac{2}{2}}{\frac{4}{2}} \\ \\ r=\frac{1}{2}$

therefore

the answer is

the ratio of triangles to circles is equal to $\frac{1}{2}$

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NEED ANSWERS NOW!! (Reward) brainlest and pointsss

geniusboy [140]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

= - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

= - 0.6 (x - 3.5)² + 7.35 + 240

= - 0.6(x - 3.5)² + 247.35

with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

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2 years ago

A teacher wants to know whether the students in the entire school prefer watching television or playing outdoor games after scho

cupoosta [38]

D. All students in each grade. It can't be A since the survey is for the students, it defeats the purpose. It can't be B and C since those are too biased. Basing the student population on one factor like gender and sports is not logical in the context of this survey.

6 0

2 years ago

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Factor x2 − 8x + 9.

kolezko [41]

x^2 − 8x + 9

What two numbers when multiplied yield 9 but when added yield -8?

There are no such numbers.

Use the quadratic formula.

7 0

2 years ago

An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the ra

ruslelena [56]

Answer:

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

$E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6=349.2$

$V(X) = E(X^2)-[E(X)]^2=349.2-(18.6)^2=3.24$

The expected price paid by the next customer to buy a freezer is $466

Step-by-step explanation:

From the information given we know the probability mass function (pmf) of random variable X.

$\left|\begin{array}{c|ccc}x&16&18&20\\p(x)&0.3&0.1&0.6\end{array}\right|$

Point a:

The Expected value or the mean value of X with set of possible values D, denoted by E(X) or μ is

$E(X) = $\sum_{x\in D} x\cdot p(x)$

Therefore

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

If the random variable X has a set of possible values D and a probability mass function, then the expected value of any function h(X), denoted by E[h(X)] is computed by

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)$

So $h(X) = X^2$ and

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)\\E[X^2]=$\sum_{D}x^2\cdot p(x)\\ E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6\\E(X^2)=349.2$

The variance of X, denoted by V(X), is

$V(X) = $\sum_{D}E[(X-\mu)^2]=E(X^2)-[E(X)]^2$

Therefore

$V(X) = E(X^2)-[E(X)]^2\\V(X)=349.2-(18.6)^2\\V(X)=3.24$

Point b:

We know that the price of a freezer having capacity X is 60X − 650, to find the expected price paid by the next customer to buy a freezer you need to:

From the rules of expected value this proposition is true:

$E(aX+b)=a\cdot E(x)+b$

We have a = 60, b = -650, and E(X) = 18.6. Therefore

The expected price paid by the next customer is

$60\cdot E(X)-650=60\cdot 18.6-650=466$

4 0

2 years ago

Can you please answer this for me ? I’m confused .

Lorico [155]

Answer:

input: f(x)

output: 18x+60

Rate Of Change: 18

Y-Intercept: 60

Domain: negative infinity < x < infinity

Range: negative infinity < y < infinity

Continuous because every point is connected by the line

Step-by-step explanation:

8 0

3 years ago

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