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3 years ago

С 3х +6 2х + 4 D B E О 24 32 Оооо 34

Mathematics

1 answer:

postnew [5]3 years ago

7 0

Answer:

Step-by-step explanation:

Since AD is a straight line the sum of ABC and DBC would be equal to 180°

2x + 4 + 3x + 6 = 180 add like terms

5x + 10 = 180 subtract 10 from both sides

5x = 170 divide both sides by 5

x = 34

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You purchase a pair of jeans online. You will be charged 6% sales tax on the jeans and an additional shipping charge of $8.95, w

denis-greek [22]

100% = 1.00 is the cost of the jeans itself
6% = 0.06 is the sales tax to be added
let "cost of jeans" be represented by x
so you will get an expression
(1.00 + 0.06) x + 8.95 = Total Cost

4 0

3 years ago

N = 9

g100num [7]

Answer:

The p-value is 0.809.

Step-by-step explanation:

In this case we need to perform a significance test for the standard deviation.

The hypothesis is defined as follows:

H₀: σ₀ = 4 vs. Hₐ: σ₀ ≤ 4

The information provided is:

n = 9

s = 3

Compute the Chi-square test statistic as follows:

$\chi^{2}=\frac{(n-1)s^{2}}{\sigma_{0}^{2}}$

$=\frac{(9-1)\cdot (3)^{2}}{(4)^{2}}\\\\=\frac{8\times 9}{16}\\\\=4.5$

The test statistic value is 4.5.

The degrees of freedom is:

df = n - 1

= 9 - 1

= 8

Compute the p-value as follows:

$p-value=P(\chi^{2}_{9}>4.5)=0.809$

*Use a Chi-square table.

Thus, the p-value is 0.809.

7 0

3 years ago

2. Three points of a parallelogram are (4, 3), (-4, 3), and (2, 3). Find the coordinates of the 4th point to complete the parall

antiseptic1488 [7]

Parallelograms have equal and parallel opposite sides

The coordinates of the 4th point is (-2,3)

Let the parallelogram be ABCD, such that:

$A = (4,3)$

$B =(-4,3)$

$C = (2,3)$

A and B have the same y-coordinates, while their x-coordinates are additive inverse

This means that:

The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.

For point C

We have:

$x = 2$

$y = 3$

For point D

The coordinates would be:

$x =- 2$

$y = 3$

Hence, the coordinates of D is (-2,3)