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Sergio [31]
2 years ago
11

Justin is 2 years older

Mathematics
1 answer:
german2 years ago
5 0
Answer:
5

Explanation:
1/4 of 12 = 3
2 + 3 = 5
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Prove that if -5(x+4)=70, then x=-18
kvv77 [185]
Input negative 18 into x and distribute. on both sides of the equal sign you should get 70=70
6 0
3 years ago
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
2 years ago
What is the ratio of 5.478 and 7.522 in mathematics
exis [7]

Answer:

Written in standard ratio form-

5.478 : 7.522

other ways of expressing it-

5.478/7.522 or

5.478 to 7.522

Simplified-

0.72826..... as an irrational number

3 0
3 years ago
Math question I need help with
muminat
Let's you and me discuss a few things that you already know:

-- What's a y-intercept ?
The y-intercept on a graph is the place where it crosses the y-axis.

-- That's the value of 'x' at the y-intercept ?
The y-intercept is on the y-axis, so 'x' is zero there.

-- Good !  So how would you find the y-intercept of a function ?
You say that  x=0  and look at what 'y' is.

-- Very nice.  What's the function in this question ?
The function is

             f(x)  [or 'y']  =  x⁴ + 4x³ - 12x² -32x + 64   .

--  Excellent.   What's the value oif that function  (or 'y')  when  x=0  ?   

       It's just  64 .

-- Beautiful.
   Are there any answer choices that cross the y-axis at  64 ?
   How many are there ?

   There's only one.
   It's the upper one on the right hand side.
3 0
3 years ago
According tot he rational root theorem, which statement about f(x)=12x^3-5x^2+6x+9 is true?
vampirchik [111]

Answer:

If there are any rational roots, it would be a factor of your constant term (9) divided by a factor of the high-order coefficient (12).

3 0
3 years ago
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