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motikmotik
3 years ago
15

What does it mean to say that the amount of money from the previous month is quadrupled

Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0
Money of previous month multiplied by 4. 
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Many elementary school students in a school district currently have ear infections. A random sample of children in two different
Marta_Voda [28]

Answer:

Step-by-step explanation:

The summary of the given data includes;

sample size for the first school n_1 = 42

sample size for the second school n_2  = 34

so 16 out of 42 i.e x_1 = 16 and 18 out of 34 i.e x_2 = 18 have ear infection.

the proportion of students with ear infection Is as follows:

\hat p_1 = \dfrac{16}{42} = 0.38095

\hat p_2 = \dfrac{18}{34}  =  0.5294

Since this is a two tailed test , the null and the alternative hypothesis can be computed as :

H_0 :p_1 -p_2 = 0 \\ \\ H_1 : p_1 - p_2 \neq 0

level of significance ∝ = 0.05,

Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.

The test statistics for the difference in proportion can be achieved by using a pooled sample proportion.

\bar p = \dfrac{x_1 +x_2}{n_1 +n_2}

\bar p = \dfrac{16 +18}{42 +34}

\bar p = \dfrac{34}{76}

\bar p = 0.447368

\bar p + \bar  q = 1 \\ \\ \bar q = 1 -\bar  p \\  \\\bar q = 1 - 0.447368 \\ \\\bar q = 0.552632

The pooled standard error can be computed by using the formula:

S.E = \sqrt{ \dfrac{ \bar p \bar q}{ n_1} +  \dfrac{\bar p \bar p}{n_2} }

S.E = \sqrt{ \dfrac{  0.447368 *  0.552632}{ 42} +  \dfrac{ 0.447368 *  0.447368}{34} }

S.E = \sqrt{ \dfrac{  0.2472298726}{ 42} +  \dfrac{ 0.2001381274}{34} }

S.E = \sqrt{ 0.01177284105}

S.E = 0.1085

The test statistics is ;

z = \dfrac{\hat p_1 - \hat p_2}{S.E}

z = \dfrac{0.38095- 0.5294}{0.1085}

z = \dfrac{-0.14845}{0.1085}

z = - 1.368

Decision Rule: Since the test statistics is greater than the rejection region - 1.96 , we fail to reject the null hypothesis.

Conclusion: There is insufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools

5 0
3 years ago
Shondra buys a bedroom suite on the in-stallment plan. She makes a down payment of $200 and monthly payments of $52 each for thr
Dmitry [639]

Answer:

$2072

Step-by-step explanation:

Note that:

1 year = 12 months

Hence:

1 year = 12 months

3 years = x months

Cross Multiply

x = 3 × 12

x = 36 months

She makes a down payment of $200 and monthly payments of $52 each for three years.

Her total cost is represented by the expression

= $200 + $52 × m

Where m = number of monthly payments.

$200 + $52 × 36

= $200 + $1872

= $ 2072

7 0
3 years ago
Please help me please answer it correctly
allochka39001 [22]

Answer:

Correct answer:  B.  0.88 c

Step-by-step explanation:

If the crime rate is reduced by 12%  it means that it is now 88% from the previous one.

88% · c = 88/100 · c = 0.88 c

God is with you!!!

5 0
3 years ago
James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially ha
lesantik [10]

Answer:

t(g)= -4g + 20

Step-by-step explanation:

James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays

Solution

Let

g=No. of games James plays

t= No. of tokens James has.

Find the slope using

y=mx + b

Where,

m = Slope of line,

b = y-intercept.

Before James started playing the games, he has a total of 20 tokens.

That is, when g=0, t=20

After James played the games 3 times, he has 8 tokens left

That is, when g=3, t=8

(x,y)

(0,20) (3,8)

m=y2-y1 / x2-x1

=(8-20) / (3-0)

= -12 / 3

m= -4

Slope of the line, m= -4

y=mx + b

No. of tokens left depend on No. of games James plays

t is a function of g.

t(g)

t(g)= -4g + 20

3 0
3 years ago
Is this right? someone please help :)
kherson [118]

Answer:

v = m/d

Step-by-step explanation:

d = m/v

Multiply each side by v

d*v = m/v * v

dv = m

Now divide each side by d

dv/d = m/d

v = m/d

4 0
3 years ago
Read 2 more answers
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