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3 years ago

Simplify to create an equivalent expression.

Mathematics

2 answers:

givi [52]3 years ago

6 0

Answer:

7k + 7

Step-by-step explanation:

-k - (-8k + 7)

-k + 8k + 7

7k + 7

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Yuliya22 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Given

- k - (- 8k + 7) ← distribute parenthesis by - 1

= - k + 8k - 7 ← collect like terms

= 7k - 7 → A

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Solve this system by elimination. 3x+4y=5 -5x-4y=-11

ehidna [41]

3x + 4y = 5
-5x - 4y = -11
 -2x = -6
 -2x = -6
 -2 -2
 x = 3
3(3) + 4y = 5
 9 + 4y = 5
 -9 -9
 4y = -4
 4y = -4
 4 4
 y = -1
 (x, y) = (3, -1)

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4 years ago

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You put $800 in an account that earns 4% simple interest. Find the total amount in your account after each year for 3 years. (Pl

alexandr402 [8]

To get 4% of 800 you times 800 by 4 and divide it by 100. Once you have that amount you add it to 800 to find the amount you will have in your bank the first year. To get the next year's amount you then get 4% of 832(because after the first year you have more than $800) and then add the 4% to 832, that is the answer for the second year. To find the third year's amount you get 4% of the new amount (last year's total) and add it to last year's total, that is your total for the third year. So the first year will be: (800x4÷100)+800 =32+800 =832 The second year will be: 832+(832x4÷100) =832+33.28 =865.28 The third year will be: (865.28×4÷100)+865.28 =34.61(rounded off)+865.28 =899.89

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4 years ago

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Translate

BARSIC [14]

Answer:

5 x 0.4 = 2

5 + 2 = 7???

Step-by-step explanation:

Bye.

3 0

3 years ago

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A zoologist is studying four very closely related feline species. She wishes to compare their gestation periods. An observationa

diamong [38]

Answer:

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different, NOT to conclude that the all the means are different.

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Solution to the problem

The hypothesis for this case are:

Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}= \mu_D$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C,D$

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have $p=4$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

And in order to test this hypothesis we need to ue an F statistic and for this case the p value calculated is

$p_v= 0.01$

Since the significance level is 0.05 we see that $pv$ so we have enough evidence to reject the null hypothesis. And the best conclusion for this case would be:

b. at least some, but not all, of the gestation periods across all four species are the same

Because is only to identify if AT LEAST one mean is different NOT to conclude that the all the means are different.

8 0

4 years ago

What number a is 25% of 7/8?

Wewaii [24]

Answer:

0.21875

Step-by-step explanation:

We can find the percent of a number by multiplying the number by 0.25 after converting the number from a fraction to a decimal.

7/8=0.875

0.875(0.25)=0.21875

7 0

4 years ago