4. Solve 5x - 7x + 6 = -2(x - 3) * (5 Points) (5 Points) 2 infinitely many solutions

Tell which number is greater. 11/15 or 74%

ipn [44]

11/15 = 73.3%. 73.3 is less than 74%, so 74% is greater.

To find the percentage, you do top ÷ bottom then do x 100

7 0

4 years ago

Read 2 more answers

4x-2y=6 (y=mx+b) _________

USPshnik [31]

Answer:

Step-by-step explanation:

4x - 2y = 6

-2y = -4x + 6

y = -4x/-2 + 6/-2

y = 2x - 3

5 0

4 years ago

An article reports on an experiment in which each of five groups consisting of six rats was put on a diet with a different carbo

loris [4]

Answer:

H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples

Step-by-step explanation:

A B C D E

2.58 2.63 2.13 2.41 2.49

∑A=2.58 ∑B=2.63 ∑C=2.13 ∑D=2.41 ∑E=2.49

A² B² C² D² E²

6.6564 6.9169 4.5369 5.8081 6.2001

∑A²=6.6564 ∑B²=6.9169 ∑C²=4.5369 ∑D²=5.8081 ∑E²=6.2001

Calculations

Group A B C D E Total

N n1=1 n2=1 n3=1 n4=1 n5=1 n=5

∑xi T1=2.58 T2=2.63 T3=2.13 T4=2.41 T5=2.49 ∑x=12.24

∑x²i 6.6564 6.9169 4.5369 5.8081 6.2001 ∑x²=30.1184

Mean xi 2.58 2.63 2.13 2.41 2.49 Total2.448

Σ Σ xij^2 = 185.4 given

Let k = the number of different samples = 5

n=n1+n2+n3+n4+n5=1+1+1+1+1=5

Overall ˉx=12.24/5 =2.448

∑x=T1+T2+T3+T4+T5=2.58+2.63+2.13+2.41+2.49=12.24----1

Correction Factor=(∑x)²/n=12.242/5=29.9635--------(2)

∑T²i/ni=(2.582/1+2.632/1+2.132/1+2.412/1+2.492/1)=30.1184------(3)

∑x²=∑x²1+∑x²2+∑x²3+∑x²4+∑x²5

=6.6564+6.9169+4.5369+5.8081+6.2001=30.1184-------(4)

ANOVA:

Step-1 : sum of squares between samples

SSB=(∑T2i/ni)-(∑x)2/n

=(3)-(2)

=30.1184-29.9635

=0.1549

Step-2 : Total sum of squares

SST=SSB-CF

= 185.4-2.488

=182.952

Step-3 : Sum of Squares Within Samples

SSW=∑x²-(∑T²i/ni)=SST- SSB=

= 182.952-0.1549=182.7971

Step-4 : variance between samples

MSB=SSB/k-1

=0.1549/4

=0.0387

Step-5 : variance within samples

MSW=SSW/n-k

=182.7971/5-5

=36.55942

Step-6 : test statistic F for one way ANOVA test

F=MSB/MSW

=0.0387/36.55942 = 0 .001058

ANOVA table

Source Sums Degrees Mean

of Variation of Squares of freedom Squares

SS DF MS F

B/w samples SSB = 0.1549 k-1 = 4 MSB = 0.0387 0.001

Within samples SSW = 0 n-k = 0 MSW = 36.55942

Total SST = 0.1549 n-1 = 4

H0 : The true average DNA content is not affected by the type of carbohydrate in the diet between samples

Ha : The true average DNA content is affected by the type of carbohydrate in the diet between samples

F(4,0) at 0.05 level of significance =0.5

As calculated F=0.001 >0.5

So, H0 is rejected, Hence the true average DNA content is affected by the type of carbohydrate in the diet between samples

6 0

4 years ago

Based on △GHI below, which of the following inequalities is true?

Rom4ik [11]

Answer:

C. $\overline{GI} < \overline{GH} < \overline{HI}$

Step-by-step explanation:

In a triangle, the longest side is opposite to the largest measure of angle. The medium side is opposite to the medium angle, while the shortest side is opposite to the smallest angle.

In ∆GHI,

✍️m<G = 95°, it is opposite to $\overline{HI}$

<G is the largest angle, therefore, $\overline{HI}$ is the longest side.

✍️m<I = 180 - (95 + 38) = 47°.

<I is opposite to $\overline{GH}$

<I is the medium angle, therefore, $\overline{GH}$ is the medium side.

✍️m<H = 38°, it is opposite to $\overline{GI}$

<h is the smallest angle, therefore, $\overline{GI}$ is the shortest side.

✅This means:

$\overline{GI} < \overline{GH} < \overline{HI}$

4 0

3 years ago

Fred weighs 40 pounds less than twice Barney. Their combined weight is 320 pounds. Let F = Fred's weight in pounds and B = Barne

Illusion [34]

Answer:

Step-by-step explanation:

Using the information provided we can create two different equations for this system. The first of which would be Fred's overall weight, while the second equation would be Fred's and Barney's combined weight. These equations would be the following...

F = 2B - 40

320 = F + B

As requested I will not solve the system of equations and leave them as they are.

6 0

3 years ago