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r-ruslan [8.4K]
2 years ago
6

In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37

of them germinated. Is it possible to claim that most of the seed will germinate? Consider a confidence level of 95%.
Mathematics
1 answer:
djyliett [7]2 years ago
7 0

Answer:

More than 50% would germinate

Step-by-step explanation:

Given that in the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated

Let us check whether more than 50% will germinate using hypothesis test

H_0: p = 0.50\\H_a: p>0.50\\

(right tailed test)

Sample proportion p =\frac{37}{60} =0.617\\q = 0.383\\Std error = \sqrt{\frac{pq}{n} } =0.0628

p difference = 0.117

Test statistic Z = p difference/std error = 1.864

p value =0.0312

Since p value <0.05 our significance level of 5% we reject null hypothesis

It is  possible to claim that most of the seed will germinate (i.e. more than 50%)

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The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi
Andru [333]

we can use formula

\theta=tan^{-1}(\frac{a_y}{a_x})

(a)

we are given

a_x=12,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{12})

\theta=tan^{-1}(1)

\theta=\frac{\pi}{4}rad

(b)

we are given

a_x=20,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{20})

\theta=tan^{-1}(\frac{3}{5})

\theta=30.96^{\circ \:}

(c)

we are given

a_x=12,a_y=20

now, we can plug values

\theta=tan^{-1}(\frac{20}{12})

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\theta=59.03^{\circ \:}


6 0
2 years ago
Of the 240 students eating lunch, 96 purchased their lunch and the rest brought a bag lunch. What is the ratio of students purch
Irina-Kira [14]

Answer:

96:144

Step-by-step explanation:

Since there are 240 students and the known value is 96 students buying lunch, you simply subtract the two numbers.

240 - 96 = 144

There are 144 students bringing bag lunch.

The ratio is asking students purchasing  lunch to students bringing a bag lunch, which would be 96:144

The simplified answer is 2:3

To get this, divide 144 by 96

This, in turn, would give you in answer of 3/2 which can be inversed to get the right answer

8 0
3 years ago
a lottery game has balls numbered 1 through 21. what is the probability of selecting a ball with a prime number on it or a 10
Ronch [10]

Answer:

3/7

Step-by-step explanation:

The prime numbers that lie between 1 and 21 are 2,3,5,7,11,13,17, and 19. These 8 balls, plus the 10-ball comes to a total of 9 balls that could be picked out of the 21. Therefore, the probability of picking one of these balls is 9/21 or 3/7

6 0
3 years ago
Read 2 more answers
What fraction is 6 of 18​
Leto [7]

Answer:

1/3

Step-by-step explanation:

6 of 18 = 6/18

Divide by 6, the GCF of the two numbers 6 and 18, to get 1/3.

6 is 1/3 of 18.

4 0
2 years ago
Read 2 more answers
Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
garik1379 [7]

The complete question is

"Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real number solutions? (The related quadratic function will have two x-intercepts.) Check all that apply.

0 = 2x^2 – 7x – 9

0 = 4x^ 2 – 3x – 1

The quadratic equations that have real number solutions are; 4x^2 – 3x – 1, and 2x^2 – 7x – 9.

<h3>What is the formula for Discriminant?</h3>

The formula for finding the discriminant is

b^2 - 4ac

The solution contains the term \sqrt{b^2 - 4ac} which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

For the quadratic equation 2x^2 - 7x - 9

b^2 - 4ac

= (-7) ^2 - 4( 2) ( -9)\\\\= 49 + 72 = 121

This equation has two real number solutions.

For the quadratic equation 4x^ 2 - 3x- 1

b^2 - 4ac

= (-3) ^2 - 4( 4) ( -1)\\\\= 9 + 16 = 25

This equation will have two real number solutions.

Learn more on discriminant here:

brainly.com/question/1537997

#SPJ1

5 0
1 year ago
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