All categories

3 years ago

Determine if the following tables from a lineAr equation if so identify the slope otherwise write non linear

Mathematics

1 answer:

mariarad [96]3 years ago

4 0

2)
a*2 + b = 26;
a*(-4) + b = -16;
then, a*6 = 42 => a = 7 => b = 26 -14 => b = 12;

from table, 7*9 + 12 = 63 + 12 = 75, correct;
7*(-8) + 12 = -56 + 12 = -44, correct;

slope = ( -44 + 16) / ( -8 + 4) = ( - 28) / (-4) = 7 = a;

You might be interested in

10-9=110x7 what symbol will make this equation equal

irina [24]

< that is the anwer to the prob

5 0

4 years ago

A recent poll asked people whether they supported passing a constitutional amendment to ban burning of the national flag using a

Natalka [10]

Answer:

Step-by-step explanation:

Hello!

You are asked to test the difference of the population means of the opinion of men and women over a constitutional amendment to ban burning the national flag.

Population 1 (women)

Sample n₁= 400

X[bar]₁= 80.6

Population 2 (men)

n₂= 586

X[bar]₂= 77.6

σ₁= σ₂ = σ =3.5

To test whether there is a difference between the opinion of people about the amendment regarding their gender the hypothesis is:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.05

The statistic to use is a pooled Z:

Z= (X[bar]₁ - X[bar]₂) - (μ₁ - μ₂) ~N (0;1)

σ*√(1/n₁ + 1/n₂)

The critical region for this hypothesis is two tailed:

$Z_{\alpha /2} = Z_{0.025} = -1.96$

$Z_{1-\alpha /2} = Z_{0.975} = 1.96$

Z= (X[bar]₁ - X[bar]₂) - (μ₁ - μ₂) = (80.6-77.6) - 0 = 13.215

σ*√(1/n₁ + 1/n₂) 3.5√(1/400 + 1/586)

Since the calculated Z-value is greater than the right critical value -81.96) the decision is to reject the null hypothesis. There is significant evidence to conclude that there is no difference between the population means of the opinion about the constitutional amendment to ban the burning of the national flag of women and men.

I hope it helps!

8 0

3 years ago

A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t

Andre45 [30]

Answer: Width of box is not taken up by pencils = $2\dfrac58\text{ inches}$

Width of each pencil $=\dfrac38\text{ inches}$

Step-by-step explanation:

Given: Width of pencil box = $5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}$

Width of seven pencils = $2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}$

Width of box is not taken up by pencils = Width of pencil box - Width of seven pencils

$\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}$