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3 years ago

For each of the incorrect dot plots, describe what is wrong

Mathematics

1 answer:

Strike441 [17]3 years ago

6 0

Plot A: Missing dot at 35 and 55.
Plot B: Missing the number 45 on number line therefore inconsistent increments of prices w/other 2 plots.

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Two functions are given.

ArbitrLikvidat [17]

f(x) = g(x) if -x²+3x-2 - ( -x+1) = 0

-x² +3x-2 +x-1 = 0

-x² +4x -3 = 0

To solve, tou have to use the general method of resolution of a quadratic fonction.

To determine if it's has a solution in R, let's calculate Δ

Δ = (4)² - 4 * (1) *(-3)

Δ = 16 +12

Δ= 28

as Δ≥ 0 so the function allow two solution within R

so S 1 = ( -4 +√28) / 2 S 2 = (-4 -√28 ) /2

S1 = ( -4 + 2√7) /2 S2 = (-4 - 2√7) /2

S1 = (2 (-2 +√7) /2 S2 2 (-2 -√7) /2

S1 = -2 +√7 S2 = -2 -√7

So the two function are equal twice. one for x = -2 +√7 and second x = -2-√7

4 0

2 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

lions [1.4K]

10, 10, 20 or either of u talking abt about tah the whole either 0-100

7 0

2 years ago

2/3 + w = 3/2 what is w

german

Answer:

0.8333

Step-by-step explanation:

2/3 + x

x + 2/3

x + 2/3 = 3/2

x + 2/3 - 3/2 = 0

2/3 - 3/2 = 4/6 - 9/6 = - 5/6

x - 5/6 = 0

use linear function

f(x) - ax + b

f(x) = x - 5/6

a = 1

b = - 5/6

x- 5/6= 0

x = 5/6

x = 0.8333

6 0

2 years ago

What is the answer to 6^(x-3/4)=square root of 6

dangina [55]

6^(x - 3/4) = 6^(1/2)

since 6 is the base on each side:-

x- 3/4 = 1/2

x = 1/2 + 3/4

x = 5/4 (or 1 1/4)

6 0

2 years ago

The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15c

Alexus [3.1K]

Answer:

a) 5.13% probability that all of the offices are filled by members of the debate team

b) 2.56% probability that none of the offices are filled by members of the debate team

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the people are chosen is important, since the first person is the president, the second is the vice president and so on... So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

(a) What is the probability that all of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 8(candidates of the members debate team).

$D = P_{(8,4)} = \frac{8!}{(8-4)!} = 1680$

Total outcomes:

4 offices from a set of 15 candidates.

$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{1680}{32760} = 0.0513$

5.13% probability that all of the offices are filled by members of the debate team

(b) What is the probability that none of the offices are filled by members of the debate team?

Desired outcomes:

4(president, vice president, secretary, and treasurer) offices from a set of 7(candidates who are not of the members debate team).

$D = P_{(7,4)} = \frac{7!}{(7-4)!} = 840$

Total outcomes:

4 offices from a set of 15 candidates.

$T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760$

Probability:

$P = \frac{D}{T} = \frac{840}{32760} = 0.0256$

2.56% probability that none of the offices are filled by members of the debate team

7 0

3 years ago