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const2013 [10]
3 years ago
11

Please answer this question asap

Mathematics
1 answer:
Aneli [31]3 years ago
6 0
The correct answer is A.

h is the independent variable. The rate at which she is hiking is 2.5 km/hr. The dependent variable, h(x), is equal to 12 for a certain h.

h(x) = 2.5h + 4
12 = 2.5h + 4
8 = 2.5h
h=3.2 hours

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Day care centers expose children to a wider variety of germs than the children would be exposed to if they stayed at home more o
Ostrovityanka [42]

Answer:

a) The study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is approximately 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is approximately 0.8565

c) The odds ratio is approximately 0.6780

d) The 95% CI is approximately 0.523 < OR < 0.833

e) i) Yes

ii) Children with more social activity have a higher occurrence of acute lymphoblastic leukemia

Step-by-step explanation:

a) An experimental study is a study in which the researcher adds inputs to the study and then monitors the outcomes

An observational study is one in which the researcher observes risk factors and does not intervene in the process

Therefore, the study is an observational study

b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is \hat p_1 = 1020/1272 = 85/106 = 0.8\overline {0188679245283} ≈ 0.802

The proportion of children with significant social activity in children without acute lymphoblastic leukemia is \hat p_2 = 5343/6238 ≈ 0.8565

c) We have the following two way table;

\begin{array}{ccc}Lymphoblastic \ Leukemia &With \ Social \ Activity & Without \ Social \ Activity\\With&1020 \ (a)&252 \ (b)\\Without&5343 \ (c)&895 \ (d) \end{array}

The \ odds \ ratio = \dfrac{1,020 \times 895}{5,343 \times 252} \approx 0.6780

The odds ratio ≈ 0.6780

d) The 95% confidence interval for the odds ratio is given as follows;

95 \% \ CI = OR \ \pm \ 1.96 \times \sqrt{\dfrac{1}{a} +\dfrac{1}{b}+\dfrac{1}{c}+\dfrac{1}{d}}

Where;

a = 1020, b = 252, c = 5343, d = 895

Therefore;

95 \% \ CI \approx  0.6780 \ \pm \ 1.96 \times \sqrt{\dfrac{1}{1,020} +\dfrac{1}{252}+\dfrac{1}{5,343}+\dfrac{1}{895}} \approx 0.678 \pm0.155

The 95% CI ≈ 0.523 < OR < 0.833

e) i) Given that the observed Odds Ratio is within the Confidence Interval, therefore, there is an indication that the amount of social activity is associated with acute lymphoblastic leukemia

ii) Based on the proportion of the study findings, children with more social activity have a higher occurrence of acute lymphoblastic leukemia

6 0
3 years ago
5(x+4)+16<br><br> Match each of the following with Equivalent Expression listed on the right
son4ous [18]
5(x+4)+16
5x+20+16
And then the solution is 5x+36
6 0
3 years ago
Kenny has $1,400 in the bank. He earns $150 every week at his afterschool job. What is the rate of change for the scenario descr
Vadim26 [7]
<span>The rate of change would be equal to the amount of money that Kenny is earning every week, since there are no expenses that are removing money from his account. In this case, it would be the $150 that he is putting into the account weekly.</span>
6 0
3 years ago
Show that the Second Derivative Test is inconclusive when applied to the following function at​ (0,0). Describe the behavior of
morpeh [17]

Answer:

See explanations for step by step procedure to answer

Step-by-step explanation:

Given that;

.f (x comma y )equals 8 x squared y minus 3 Confirm that the function f meets the conditions of the Second Derivative Test by finding f Subscript x Baseline (0 comma 0 )​, f Subscript y Baseline (0 comma 0 )​, and the second partial derivatives of f.

See attached documents for clearity, further explanations and answer

6 0
3 years ago
When all the variables cancel out in an equation, how do you know if there are no solutions or infinite solutions?
Ivahew [28]
If a number equals the same number, there are infinite solutions
Example: 5=5, which is true, so there are infinite solutions
If a number equals a different number, there are no solutions
Example: 5=2, which isn’t true
4 0
3 years ago
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