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Semmy [17]
3 years ago
14

Find three consecutive integers such that 4 times the least integer is 8 times two less the greatest integer.

Mathematics
1 answer:
patriot [66]3 years ago
6 0

least \: int = x \\ 4x = 8((x + 2) - 2) \\ 4x = 8x \\ 0 = 4x \\ 0 = x \\ numbers = 0 \: 1 \: 2
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Let Pk denote the vector space of all polynomials with degree less than or equal to k. Define a linear transformation T : P4 ! P
shusha [124]

Answer:

Step-by-step explanation:

T(1)=1=0*x^3 0*x^2 0*x 1*1 T(x)=x-1=0*x^3 0*x^2 1*x (-1)*1 T(x^2)=2x^2-6x 6=0*x^3 2*x^2 (-6)*x 6 T(x^3)=6x^3-48*x^2 141*x-141 T(x^4)=24*x^3-204*x^2 628*x-604*1 collect the coefficient matrix and take its transpose

0 0 0 6 24

0 0 2 -48 -204

0 1 -6 141 628

1 -1 6 -141 -604

6 0
4 years ago
Psychologists in Montreal and Toronto conducted a study to determine if babies show any preference for speech over general noise
Lostsunrise [7]

Answer:

H0 : μ1 - μ2 = 0

H1: : μ1 - μ2 ≠ 0

we reject the Null and we conclude that babies prefer actual speaking to humming.

Step-by-step explanation:

H0 : μ1 - μ2 = 0

H1: : μ1 - μ2 ≠ 0

Mean difference, d = 27.79

Standard deviation of difference, Sd = 63.18

Sample size, n = 50

The test statistic :

d / (Sd / √n)

Test statistic :

27.79 / (63.18 / √50)

27.79 / 8.9350012

= 3.11

Using the Test statistic score, we can obtain the Pvalue

Using the standard normal table ;

Pvalue = P(x<-Z or x>Z) = 0.0018709

Pvalue is very low

Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.

8 0
3 years ago
Susie use the one have to help compare 1/3 to 3/5 and to help in comparing 3/7 with 2/3 explain how 1/2 helps determine which fr
gogolik [260]

The fraction \frac{3}{5} and \frac{2}{3} are the greatest in each combination.

Explanation:

Comparing the fraction \frac{1}{2} with \frac{1}{3} and \frac{3}{5} to find the greatest value.

The fraction \frac{1}{2}>\frac{1}{3} and \frac{1}{2}

Thus, \frac{1}{3}

Hence, \frac{3}{5} is the greatest value in this combination.

Also, Comparing the fraction \frac{1}{2} with \frac{3}{7} and \frac{2}{3} to find the greatest value.

The fraction \frac{1}{2}>\frac{3}{7} and \frac{1}{2}

Thus, \frac{3}{7}

Hence, \frac{2}{3} is the greatest value in this combination.

8 0
3 years ago
Apply the distributive property to -8(y-1 1/8) to get an equivalent expression
Ksivusya [100]

Answer:

-8y + 1

Step-by-step explanation:

-8(y - 1/8)

multiply both the variable and the number inside the parentheses

(-8)(y) - (1/8)(-8)

-8y + 1

4 0
3 years ago
5/8 voted for blue, 5/9 voted for green and 48 voted for red. How many voted for blue and how many voted for green?
Ostrovityanka [42]
Ok, um lets start with blue equation (5/8)*288=180 <<- Blue 180 voted for blue.
Ok Green is much easier 108-48=60 <------- Green 60 votes. 
8 0
3 years ago
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