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Cerrena [4.2K]
3 years ago
13

The youth group at the church decided to plant geraniums and

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0

Answer:

The youth group bought 35 geraniums and 45 daisy plants.

Step-by-step explanation:

We can solve this using a system of equations:

x + y = 80

4x + 6y = 410

X = Geraniums

Y = Daisies

First, let's solve for a variable in the first equation. I am going to solve for y in the first equation:

x + y = 80

y = -x + 80

Now that we have solved for y we can plug that back in to the 2nd equation:

4x + 6(-x + 80) = 410

4x - 6x + 480 = 410

-2x + 480 = 410

-2x = -70

x = 35

Now that we have found the amount of geraniums we can plug it back into the first equation and solve for y:

35 + y = 80

y = 45

Therefore the youth group bought 35 geraniums and 45 daisy plants.

Check:

(35) + (45) = 80

80 = 80

4(35) + 6(45) = 410

140 + 270 = 410

410 = 410

<em>I hope this helps!!</em>

<em>- Kay :)</em>

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a.

\bar p_1=0.05\\\bar p_2=0.067

b-Check illustration  below

c.(-0.0517,0.0177

Step-by-step explanation:

a.let p_1  \& p_2 denote processes 1 & 2.

For p_1: T1=10,n1=200

For p_2:T2=20,n2=300

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\bar p_1=\frac{t_1}{N_1}=\frac{10}{200}=0.05\\\bar p_2=\frac{t_2}{N_2}=\frac{20}{300}=0.067

b. To test for hypothesis:-

i.

H_0:p_1=p_2\\H_A=p_1\neq p_2\\\alpha=0.05

ii.For a two sample Proportion test

Z=\frac{\bar p_1-\bar p_2}{\sqrt(\bar p(1-\bar p)(\frac{1}{n_1}+\frac{1}{n_2})}\\

iii. for \frac{\alpha}{2}=(-1.96,+1.96) (0.5 alpha IS 0.025),

reject H_o if|Z|>1.96

iv. Do not reject H_o. The noncomforting proportions are not significantly different as calculated below:

z=\frac{0.050-0.067}{\sqrt {(0.06\times0.94)\times \frac{1}{500}}}

z=-0.78

c.(1-\alpha).100\% for the p1-p2 is given as:

(\bar p_1-\bar p_2)\pm Z_0_._5_\alpha \times \sqrt   \frac{ \bar p_1(1-\bar p_1)}{n_1}+\frac{\bar p_2(1-\bar p_2)}{n_2}\\\\=(0.05-0.067)\pm 1.645  \times \sqrt \ \frac{0.05+0.95}{200}+\frac{0.067+0.933}{300}\\

=(-0.0517,+0.0177)

*CI contains o, which implies that proportions are NOT significantly different.

4 0
3 years ago
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