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3 years ago

Tim measures the length of four grasshoppers in his backyard: 5/4 cm, 7/4 cm, 9/4 cm, and 3/4 cm. What is the average length.

Mathematics

1 answer:

katrin [286]3 years ago

6 0

Answer:6

Step-by-step explanation: add up all the fractions. The answer will be 24/4. Divide 24/4 equals 6.

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Find the 9th term in a geometric sequence whose common ration is 1/3 and first term is 6

sasho [114]

Answer:

Therefore 9th term of the geometric sequence is $\frac{2}{2187}$

Step-by-step explanation:

Given first term(a) = 6

and common ratio = $\frac{1}{3}$

$T_n= ar^{n-1}$

$\therefore T_9=ar^{9-1}$

$\Leftrightarrow T_9=a r^8$

$\Leftrightarrow T_9=6\times ( \frac{1}{3}) ^8$

$\Leftrightarrow T_9=\frac{2}{2187}$

Therefore 9th term of the geometric sequence is $\frac{2}{2187}$

7 0

4 years ago

Workout the following equation x^2-5x-6

Lisa [10]

Answer:

x=2,3

Step-by-step explanation:

Factor to get:

(x-3)(x-2)

x=2,3

7 0

3 years ago

if ABC is a isosceles triangle with sides(2a+b)cm, (6a+2b+1)cm and a base of 4a cm, if it's perimeter is 28 find sides

Katyanochek1 [597]

Answer:

a=1.5, b= 3

Step-by-step explanation:

sum of all sides will give us perimeter. Therefore

2a+b+6a+2b+1+4a=28

12a+3b+1=28

12a+3b=27....eqn1

since t two sides of this isosceles triangle are equal:

2a+b=4a

2a=b

$a=\frac{b}{2}$

substituting $\frac{b}{2}$ $.$ in the first equation whenever we encounter a we will have:

$12(\frac{b}{2})+3b=27\\$

6b+3b=27

9b=27

b=3

therefore $a= \frac{b}{2} =\frac{3}{2} =1\frac{1}{2} or 1.5$

7 0

2 years ago

Consider a hypothesis test of difference of proportions for two independent populations. Suppose random samples produce r1 succe

jenyasd209 [6]

Answer:

Step-by-step explanation:

$p_1 = \frac{r_1}{n_1} \\p_2= \frac{r_2}{n_2} \\$

Pooled proportion

$p = \frac{r_1+r_2}{n_1+n_2}$

The hypothesis null would be

$H_0: p_1-p_2 =0$

Alternate can be either not equal to or < or > according to need

Std error for difference of proportions

$=\sqrt{p(1-p)(\frac{1}{n_1} +\frac{1}{n_2}}$

Hence test statistic = p difference/std error

= $\frac{\frac{r_1}{n_1}- \frac{r_2}{n_2}}{\sqrt{p(1-p)(\frac{1}{n_1} +\frac{1}{n_2}}}$

where p is given as above as combined proportion.

6 0

3 years ago

Graphing a line given it’s equation in standard form

S_A_V [24]

You'd first change the equation to slope-intercept form.

For example:

-2x + y = 6

You'd add 2x to both sides -

-2x + y + 2x = 6 + 2x

y = 2x + 6

So you'd graph y = 2x + 6

___

Hope this helped!

4 0

4 years ago

Tim measures the length of four grasshoppers in his backyard: 5/4 cm, 7/4 cm, 9/4 cm, and 3/4 cm. What is the average length.​

Tim measures the length of four grasshoppers in his backyard: 5/4 cm, 7/4 cm, 9/4 cm, and 3/4 cm. What is the average length.