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Damm [24]
2 years ago
14

Katarina is a botanist studying the production of

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

The Type B trees produces 120 pears.

<h3>What is meant by percentage?</h3>

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.

<h3>How many pears did the Type B trees produce?</h3>
  1. Type A trees produced 20 percent more pears than Type B trees did
  2. Type A trees produced 144 pears.

Let us consider, Type B produced 100% pears.

So, Type A will produce 120%of B, that is 144

144 = 120/100 * B

simplifying the above equation, we get

144 * 100 = 120B

B = 14400/120

B = 120

The value of B = 120.

Hence, the Type B trees produces 120 pears

Therefore, the correct answer is option B) 120.

To learn more about percentage, refer to:

brainly.com/question/24304697

#SPJ4

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The marketing manager for an automobile manufacturer is interested in determining the proportion of new compact-car owners who w
Serhud [2]

Answer:

z=\frac{0.395 -0.3}{\sqrt{\frac{0.3(1-0.3)}{200}}}=2.932  

p_v =2*P(z>2.932)=0.0034  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of people that they would have purchased the GPS navigation system is significantly different from 0.3

Step-by-step explanation:

Data given and notation

n=200 represent the random sample taken

X=79 represent the  number of people that they would have purchased the GPS navigation system

\hat p=\frac{79}{200}=0.395 estimated proportion of people that they would have purchased the GPS navigation system

p_o=0.3 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.3 or no.:  

Null hypothesis:p=0.3  

Alternative hypothesis:p \neq 0.3  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.395 -0.3}{\sqrt{\frac{0.3(1-0.3)}{200}}}=2.932  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.932)=0.0034  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of people that they would have purchased the GPS navigation system is significantly different from 0.3

4 0
3 years ago
In 1983, a microwave oven cost $78.75. Today, a microwave oven costs $92.66. If the CPI is 177, what is the relation of the actu
olchik [2.2K]

<u><em>Answer: The answer is C. $13.91</em></u>

<u><em>Step-by-step explanation:</em></u>

<u><em>The way i got my answer is </em></u>

<u><em>78.75+92.66=171.41</em></u>

<u><em>171.41÷13=13.18</em></u>

<u><em>Round to the nearest cent which 13.91</em></u>

4 0
3 years ago
Read 2 more answers
Please help, (AP is arithemtic progression)
defon

Answer:

p = 8

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 4 + 5p and d = 5, then

a₁ + 8d = 4 + 5p, that is

a₁ + 8(5) = 4 + 5p

a₁ + 40 = 4 + 5p ( subtract 40 from both sides )

a₁ = 5p - 36

a₂ = 5p - 36 + 5 = 5p - 31

a₃ = 5p - 31 + 5 = 5p - 26

a₄ = 5p - 26 + 5 = 5p - 21

Given that the sum of the first 4 terms = 7p - 10, then

5p - 36 + 5p - 31 + 5p - 26 + 5p - 21 = 7p - 10, that is

20p - 114 = 7p - 10 ( subtract 7p from both sides )

13p - 114 = - 10 ( add 114 to both sides )

13p = 104 ( divide both sides by 13 )

p = 8

7 0
3 years ago
Look at the to equations _3X + 6 = 21, _3X + 6 &lt; 21. Which statement best describes the process used to solve the equations
Leto [7]

Answer:

What are the options?

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
If ΔJKL~ΔMKN, find the value of x.
Aleksandr-060686 [28]

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar, then the ratios of corresponding sides are equal, that is

\frac{KL}{KN} = \frac{JL}{MN} , substitute values

\frac{32}{12} = \frac{3x-2}{x+1} ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

4 0
3 years ago
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