12z - 3 ≥ 2z - 15 it says my question is too short, so here are more characters.

Firlakuza [10]

with it's formula

Area of Triangle = (1/2)(ab)sin(C) – This formula is used when two sides and the angle in between them are known. It can be obtained from the basic formula, Area of Triangle = 0.5 × base × height. The height with respect to side 'a' can be written in as b×sin(C), where C is the angle between a and b.

3 0

3 years ago

How many inches in 7 miles?

alexandr402 [8]

Answer:

443520

Step-by-step explanation:

7 0

3 years ago

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Assume a simple random sample of 10 BMIs with a standard deviation of 1.186 is selected from a normally distributed population o

kirza4 [7]

Answer:

a) H0: $\sigma = 1.34$

H1: $\sigma \neq 1.34$

b) $df = n-1= 10-1=9$

And the critical values with $\alpha/2=0.005$ on each tail are:

$\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589$

c) $t=(10-1) [\frac{1.186}{1.34}]^2 =7.05$

d) For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34

Step-by-step explanation:

Information provided

n = 10 sample size

s= 1.186 the sample deviation

$\sigma_o =1.34$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic (chi square test)

$\alpha=0.01$ significance level

Part a

On this case we want to test if the true deviation is 1,34 or no, so the system of hypothesis are:

H0: $\sigma = 1.34$

H1: $\sigma \neq 1.34$

The statistic is given by:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

Part b

The degrees of freedom are given by:

$df = n-1= 10-1=9$

And the critical values with $\alpha/2=0.005$ on each tail are:

$\chi_{\alpha/2}= 1.735, \chi_{1-\alpha/2}= 23.589$

Part c

Replacing the info we got:

$t=(10-1) [\frac{1.186}{1.34}]^2 =7.05$

Part d

For this case since the critical value is not higher or lower than the critical values we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not significantly different from 1.34

5 0

2 years ago

How long should the wooden frame be (use 3.14 for pi)

scoundrel [369]

C=2πr
The C stands for circumference
the π is Pi (3.14)
and r is the radius (length of half a circle)

Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet.

Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.

For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)

C=9.42 < this is the circumference of the circle.

Then you add the sides of the table which are 20 feet.

So the final answer is 29.42 feet.

6 0

3 years ago

Lee is thinking of two Numbers,the product is 18. the quotient is 2

defon

X, y - the numbers

The product is 18.
$xy=18$

The quotient is 2.
$\frac{x}{y}=2 \ \ \ |\times y \\
x=2y$

Substitute 2y for x in the 1st equation:
$2y \times y=18 \\
2y^2=18 \ \ \ |\div 2 \\
y^2=9 \\
y=\pm \sqrt{9} \\
y=3 \ \lor \ y=-3 \\ \\
x=2y \\
x=2 \times 3 \ \lor \ x=2 \times (-3) \\
x=6 \ \lor \ x=-6 \\ \\
(x,y)=(6,3) \hbox{ or } (x,y)=(-6,-3)$

The numbers are 6 and 3 or -6 and -3.

6 0

3 years ago

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