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zysi [14]
2 years ago
15

On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lo

west grade.
Mathematics
1 answer:
miv72 [106K]2 years ago
3 0


you could use this equation to help you solve it;

x + (x + 42) = 138

the first step is to combine like terms;

2x = 138 -42

2x = 96

X = 96/2

X = 48

we already solved for x now substitute it in the equation I gave you.

48 + (48 + 42) = 138

48 + 90 = 138

hope it helped...if you have any concerns just let me know:) 

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Answer:

first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function

Step-by-step explanation:

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2 years ago
the required condition for using an anova procedure on data from several populations for mean comparison is that the
Anuta_ua [19.1K]

Answer:

The sampled populations have equal variances

Step-by-step explanation:

ANOVA which is fully known as Analysis of variances can be defined as the collection of statistical models as well as their associated estimation procedures which enables easily and effectively analyzis of the differences among various group means in a sample reason been that ANOVA is a total variance in which the observed variance in a specific variable is been separated into components which are attributable to various sources of variation which is why ANOVA help to provides a statistical test to check whether two or more population means are equal.

Therefore the required condition for using an ANOVA procedure on data from several populations for mean comparison is that THE SAMPLED POPULATION HAVE EQUAL VARIANCE.

5 0
2 years ago
Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2
VLD [36.1K]

Answer:

Part a: The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

So the coefficient of any term x^ny^nz^n is given as  

\dfrac{2!}{n!n!n!}

Similarly for the generic equation of coefficient of the term x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k} in the equation of form (x_1+x_2+x_3+x_4......x_k)^n is given as  

\dfrac{n!}{r_1!r_2!r_3!....r_k!}

So now the coefficient of v^9w^2x^5y^7z^2  is given as

=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}

The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b:

The number of terms is given as \left (\ {{m+n-1} \atop {n}}  \right )

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

\left (\ {{5+25-1} \atop {25}}  \right )\\\left (\ {{29} \atop {25}}  \right )\\\dfrac{29!}{25!4!}=23751

So the number of terms are 23751.

3 0
2 years ago
Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 493 people, 40 people had he
Anna71 [15]
Point estimate proportion is the average of lower and upper interval limit.

Point estimate proportion )p) = x/n
Where x = observations, n=sample size

Substituting;

p= 40/493 = 0.0811
8 0
2 years ago
Read 2 more answers
On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches
Gala2k [10]

Answer:

g(x)=6(3)^x

Step-by-step explanation:

We are given  that

f(x)=6(\frac{1}{3})^x

Function f decreases from quadrant  2 to quadrant 1 and approaches  y=0

It cut the y- axis at (0,6) and passing through the point (1,2).

Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.

It passing through the point (-1,2) and cut the y-axis at point (0,6).

Reflection across y- axis:

Rule of transformation is given by

(x,y)\rightarrow (-x,y)

Using the rule then we get

g(x)=6(\frac{1}{3})^{-x}=6(3)^x

By using

x^{-a}=\frac{1}{x^a}

Substitute x=-1

g(-1)=6\times (\frac{1}{3})=2

Substitute x=0

g(0)=6

Therefore,g(x)=6(3)^x is true.

8 0
2 years ago
Read 2 more answers
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