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Katarina [22]
3 years ago
9

Which of the following is the standard form of 36 / 24​

Mathematics
1 answer:
RSB [31]3 years ago
8 0

Answer:

15 x 10^-1

Step-by-step explanation:

36÷24=1.5

In this case I'm considering 15 as the base of my standard form.

To make 15 a 1.5, you'll have to move from right to left one unit and on the number line moving from the right to left gives you a negative number of units moved

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A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n
mafiozo [28]

Answer:

z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10  

p_v =P(z>2.10)=0.018  

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

\hat p=\frac{40}{120}=0.333 estimated proportion of strawberries damaged

p_o=0.25 is the value that we want to test

\alpha represent the significance level

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 no more than 25% of his total harvest of strawberries was damaged.:  

Null hypothesis:p\leq 0.25  

Alternative hypothesis:p > 0.25  

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{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10  

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 next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.10)=0.018  

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0
2 years ago
Triangle DEF has coordinates D(3, 4), E(4, 1), and F(1, -2). If the triangle is
fenix001 [56]

Answer:

Hello! answer: coordinates of E' are (16, 4)

Step-by-step explanation:

4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)

5 0
2 years ago
What are the first three terms of the sequence: a1 = 3 and an = 2(an -1)^2?. . a. 2, 8, 18. . b. 3, 18, 648. . c. 3, 32, 50. . d
AlexFokin [52]
The first term of the sequence is already given to be 3. Use this value to obtain the second term.
                                     a2 = 2(a1)^2 = 2(3)² = 18
Use the value of the second term to get the third term through the equation,
                                     a3 = 2(a2)² = 2(18)² = 648
Thus, the answer to this item is letter B. 
7 0
2 years ago
Your auto insurance is $900 per quarter. What should you use as the monthly average? The auto insurance is a fixed expense, but
Airida [17]

Answer:

$225

Step-by-step explanation:

A quarter is made up of 4 months,

If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225

4 0
3 years ago
5 boys and 6 girls attend a birthday party and play pin the tail on the donkey. If a girl wins first and second place and a boy
Vera_Pavlovna [14]

Answer:

75 Arrangements

Step-by-step explanation:

Girl can secure 1st & 3rd, boy can secure 2nd position in : 6 x 5 x 5 = 150 ways ; As :

  • 1st position holder can be chosen in 6 ways (among 6 girls)
  • 2nd position holder can be chosen in 5 ways (among 5 boys)
  • 3rd position holder can be chosen in ( among 5 remaining girls)

The arrangement of first, second & third  :

It is same : If Girl G1 gets first rank & Girl G2 gets third rank, is same as ; Girl G1 gets third rank & Girl G2 gets first rank. So, two are considered the same group. Hence, number of arrangements are 150 / 2 = 75  arrangements.

5 0
2 years ago
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