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mr Goodwill [35]
3 years ago
5

Given I have multiplication of integers, with an odd amount of neg(-) signs what; is the sign of my final answer?

Mathematics
1 answer:
storchak [24]3 years ago
7 0
The answer of the final sign should be negative
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Consider the equation 2(ax+3)=4x−3(4x+8). For what value of a is there no solution to the equation?
erastovalidia [21]

Answer:

the value of a such that  there is no solution to the equation is a = -4.

Step-by-step explanation:

Let first simplify the expression presented on statement. The equation has no solution if and only if a is eliminated in the process and an absurd is the result (i.e. 0 = 7).

2\cdot (a\cdot x + 3) = 4\cdot x -3\cdot (4\cdot x + 8)

2\cdot a\cdot x +6 = 4\cdot x -12\cdot x -24

2\cdot a \cdot x+6=-8\cdot x-24

2\cdot a\cdot x +8\cdot x = -30

2\cdot (a+4)\cdot x = -30

(a+4)\cdot x = -15

To obtain an absurd, we need that a+4 = 0. Hence, the value of a such that  there is no solution to the equation is:

a = -4

Let prove the certainty of the result. We find that an absurd exist: (a = -4)

0 = -15

5 0
2 years ago
Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8
morpeh [17]

Answer:

Step-by-step explanation:

H₀ : The distribution of the sample agrees with the population distribution.

H₁ : the distribution of the does not agree with the population distribution.

Using the  Chi-square test statistics

we will compute the expected frequencies

Now expected frequency for Washington will be

Fe = Npi = 1000×51% = 5100

expected frequency for Oregon

Fe = Npi = 1000×30% = 300

expected frequency for Idaho

Fe = Npi = 1000×11% = 110

expected frequency for  Montana

Fe = Npi = 1000×8% = 80

The Chi=square test statistics is;

x² = ∑ [ (Fo - Fe)² / Fe )

now we substitute

Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question

x² =  (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80

x²= 31.9376

so the chi-square test statistics is 31.9376

Now the chi-square critical value

first we compute for degree of freedom

d.f = k -1 = 4 - 1 = 3

So from the critical value table, degree of freedom 3 and significance level 0.05,

the chi-square critical value is 7.8147

Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.

There is sufficient evidence to warrant rejection  of the claim that the distribution of the sample agrees with the distribution of the state populations.

3 0
3 years ago
A rectangular prism has a base area of 2 square feet and a height of 5 feet. What
kvasek [131]
11 cubic feet is the answer
8 0
2 years ago
What is -5.8+(-2.5)
Scilla [17]

-5.8 + (-2.5) = -8.3

since both the number are negative you simply add the numbers and use the negative sign.

5 0
3 years ago
Write to explain how you can break apart 16*34 into four simpler multiplication problems
____ [38]
16 is 10 +6, and 34 is 30+4
10*30=300
10*4=40
6*30=180
4*6=24
add them up: 300+40+180+24=544

Using an array to break
<span>https://www.lake.k12.fl.us/cms/lib05/FL01000799/Centricity/Domain/7908/Topic%204%20Centers%204th%20g...</span>


8 0
3 years ago
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