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Effectus [21]
3 years ago
6

Try Again

Mathematics
1 answer:
alina1380 [7]3 years ago
7 0

Answer:

36 years

Step-by-step explanation:

Let

x = Elga's age

Alvin's age = x + 7

Sum of their ages = 79

Sum of their ages = Alvin's age + Elga's age

79 = (x + 7) + x

79 = x + 7 + x

79 = 2x + 7

79 - 7 = 2x

72 = 2x

x = 72/2

x = 36

Elga's age = x = 36 years

Alvin's age = x + 7

= 36 + 7

= 43 years

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Evaluate the expression when c=28 and d=7.<br> C+ 49 over d
Ne4ueva [31]

Answer:

11

Step-by-step explanation:

\frac{c + 49}{7}  \\  =  \frac{28 + 49}{7} \\  =  \frac{77}{7} \\  = 11

<h2><em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>

6 0
2 years ago
The strength of paper used in the manufacturing of cardboard boxes (y) is related to percentage of hardwood concentration in the
Elena-2011 [213]

Answer:

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

P-value = 0.003.

Step-by-step explanation:

If we perform a regression analysis relating x and y, we get the best fitting line with equation:

y=15.82x+92.9

and a correlation coefficient r:

r=0.693

We have to test the hypothesis, where the alternative hypothesis claims that there is a relationship between these two variables, and the null hypothesis claiming there is no relationship (meaning that the correlation is not significantly different from 0).

This can be written as:

H_0: \rho=0\\\\H_a:\rho\neq0

where ρ is the population correlation coefficient for x and y.

The significance level is assumed to be 0.05.

The sample size is n=16.

The degrees of freedom are df=14.

df=n-2=16-2=14

The test statistic can be calculated as:

t=\dfrac{r\sqrt{n-2}}{\sqrt{1-r^2}}=\dfrac{0.693\sqrt{14}}{\sqrt{1-(0.693)^2}}=\dfrac{2.593}{0.721}=3.597

For a test statistic t=2.05 and 14 degrees of freedom, the P-value is calculated as:

\text{P-value}=2\cdot P(t>3.597)=0.003

The P-value (0.003) is smaller than the significance level (0.05), so the effect is significant enough.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to claim that there is a significant relationship between x and y.

3 0
3 years ago
PLZ HELP ME MY ASSIGNMENT IS DUE IN THE NEXT FEW MINUTES AND I HAVEN’T‘ DONE ANYTHING YET PLZ HELP ME
S_A_V [24]

Answer:

C y=3x

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3 =9

5 0
3 years ago
Read 2 more answers
What is the range of f(x) = 4^x?
Oxana [17]

Answer: A because it goes from (0,infinity) so all positive real numbers

5 0
3 years ago
A garden is 15-feet long by 5-feet wide. The length and width of the garden will each increased by the same
GrogVix [38]

Answer: Perimeter = (4x + 40) feet

Step-by-step explanation:

Given that the

Length of the garden = 15 feet

And

Width of the garden = 5 feet

The length and the width of the garden increase by an equal value.

To find the expression representing the perimeter of the garden,

Let x be the increased amount of length.

Thus, the new length of garden becomes (x+15) and the new width of garden becomes (x+5)

Let us assume that the garden is a rectangle, then,

Perimeter of garden = 2(L + W)

= 2(x + 15 + x + 5)

= 2(2x + 20)

= (4x + 40) feet.

Or

Perimeter = (x+15) + ( x + 5 ) ( x + 15 ) + (x + 5 )

= 4x + 40

3 0
3 years ago
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