Answer:
5 shirts
Step-by-step explanation:
Y=12x+3 equation 1
y=8x+23 equation 2
12x+3=8x+23 substituting y value will cause equations to equal
4x=20
x=5 shirts
check answer
y=12x+3
y=12(5)+3
y=60+3
y=63
y=8x+23
y=8(5)+23
y=40+23
y=63
Since we are dealing with a proportion, it is determined by using the z-distribution that there is insufficient evidence to draw the conclusion that the proportion of all kochia plants that are resistant to glyphosate has increased because the test statistic is less than the critical value for the right-tailed test.
In this problem, we consider that:
- is the proportion in 2014.
- is the proportion is 2017.
<h3>What are the hypothesis tested?</h3>
- At the null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.
- At the alternative hypothesis, we test if there has been an increase, hence:
<h3>What is the distribution of the difference of sample proportions?</h3>
The proportions and standard errors are given by:
Hence, the distribution has mean and standard error given by:
<h3>What is the test statistic?</h3>
It is given by:
In which p = 0 is the value tested at the null hypothesis, hence:
<h3>What is the decision?</h3>
- Considering a right-tailed test, as we are testing if the proportion is greater than a value, with a significance level of 0.05, the critical value is of
- There is insufficient information to establish that the fraction of all kochia plants that are resistant to glyphosate has increased because the test statistic is smaller than the crucial value for the right-tailed test.
Learn More about the z-distribution here: brainly.com/question/26454209
#SPJ4
Answer:
47,759
Step-by-step explanation:
77+216 x 326 divided by 2
Answer:
Part 1)
Part 2)
Part 3) and
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
Find the side b
we know that
In the right triangle ABC
The function sine of angle B is equal to divide the opposite side angle B (AC) by the hypotenuse (AB)
we have
substitute
solve for b
step 2
Find the side a
we know that
In the right triangle ABC
The function cosine of angle B is equal to divide the adjacent side angle B (BC) by the hypotenuse (AB)
we have
substitute
solve for a
step 3
Find the measure of angle A
we know that
In the right triangle ABC
----> is a right angle
∠A+∠B=90° ------> by complementary angles
substitute the given value
The answer is -77.625
Hope this help.