Researcher van Dulmen wants to know the opinion of all people in the Netherlands about the government plan to increase the education fee for long term students to 3000 euro. 1200 people in the Netherlands are questioned by telephone. 52% agrees with the increase. Test the null hypothesis π = 0,50 with the alternative hypothesis ≠ 0,50
a. P = 0.08
b. P= 0.16
c. P = 0.08
d. P= 0.16

=52a−11b−7

Explanation:

10

a

−

8

b

−

2

4

a

3

b

5

Note:

a

m

a

n

=

a

m

−

n

Applying the above property to the exponents of

a

and

b

=

(

10

4

)

.

a

(

−

8

−

3

)

.

b

(

−

2

−

5

)

=

5

2

a

−

11

b

−

7

Answer:

\(g(n-7)=\frac{n^{2}-14n+43}{7n-49}\)  → (a)

Step-by-step explanation:

We need to evaluate g(n - 7), where

Replace x by (n - 7) to evaluate it

∵ x = (n - 7)

∴ \(g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}\)

→ Let us find (n - 7)²

∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)

∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49

∴ (n - 7)² = n² - 14n + 49

→ Find 7(n - 7)

∵ 7(n - 7) = 7(n) - 7(7)

∴ 7(n - 7) = 7n - 49

→ Now let us write then in the form above

∵ \(g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}\)

→ Add the like terms in the numerator

∴  \(g(n-7)=\frac{n^{2}-14n+43}{7n-49}\)

The correct answer is (a)

Answer:

Need a picture of the problem.

Step-by-step explanation:

Answer:

it's b

Step-by-step explanation:

just took the test

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The product of secant lengths to the near and far circle intercepts is the same for both secants:

  3 · (3+5) = 4 · (4+x)

  24 = 4(4 +x) . . . . simplify

  6 = 4 +x . . . . . . . .divide by 4

  2 = x  . . . . . . . . .  subtract 4

The value of t is given as 2.3 years.

we get the table for function as

t          f(t)

8    350

12   138

16   36

20    4

25   3.2

27    1.3

So it is better to model the data by using an exponential model

using a graphing calculator we get our model as

f(t)=a(b)^t

\(f(t)=\boldsymbol{3648.6915(0.7380)^t}\)

we have an exponential decay, so we get a rate of decrease as

b=1-r

r=1-b=1-0.738=0.262=26.2\\%

So the number of polio cases is decreasing by 26.2% per year

The number of polio cases in 2014 is

t=2014-1980=34

f(34)=3648.6915(0.7380)^{34}=0.1991389

this is in thousands so we get the number of cases in 2014 approximately as

\(0.1191389*1000 \approx \boldsymbol{119} \textup{ cases}\)

for 1 case of polio :

f(t)=0.001

3648.6915(0.738)^t=0.001

we get

\(t=\frac{\ln (\frac{0.001}{3648.6915})}{\ln(0.738)}\approx 50\)

so we get year as

1980+50={2030},

to find half life

\(\frac{a}{2}=a(b)^t\)

\(b^t=\frac{1}{2}\)

\(0.738^t=\frac{1}{2}\)

\(t=\frac{\ln (1/2)}{\ln (0.738)}\approx\boldsymbol{2.3} \textup{ years}\)

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Answer:

D. 0

Step-by-step explanation:

I calculated logically

Using implicit differentiation at the given point gives;

a) dy/dx = 4

b) dy/dx = -³/₈

In implicit differentiation, what we are doing is that we are differentiating each side of an equation with two variables (usually x and y) by treating one of the variables to act as a function of the other. This implies the use of chain rule

13) x² + y³ = 5

Using implicit differentiation gives;

2x + y²(dy/dx) = 0

dy/dx = -2x/(y²)

At (-2, 1), we have;

dy/dx = -2(-2)/(1²)

dy/dx = 4

14) x³ = -4y² + 3

Using implicit differentiation gives;

3x² = -8y(dy/dx) + 0

dy/dx = -³/₈x²/y

At (-1, 1), we have;

dy/dx = -³/₈(-1)²/1

dy/dx = -³/₈

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Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

Answer:

£169

Step-by-step explanation:

because the number in the decimal immediately after 8 the integer 168, is up to or more than 5.

The required round of  £168.51 to the nearest pound is £169.

Given that,
To round £168.51 to the nearest pound.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
£168.51 is given in the question and asked to round is to the nearest pound, since after the decimal the number 51 is closer to the nearest zero i.e. 100,
Implies,
The nearest pound to the  £168.51 is  £169

Thus, the required round of  £168.51 to the nearest pound is £169.

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Answer:

Susan has a total of 660 nails

Step-by-step explanation:

John box contains 65 small nails, 40 medium nails, and 45 large nails.

The proportion of John nails is

65/5:40/5:45/5

13:8:9

Total = 30

If Susan has 176 medium nails and same proportion to John's nails

8/30(x) = 176

Where x is the total number of nails for Susan box

X= (176*30)/8

X= 22*30

X= 660 nails

Susan has a total of 660 nails

Answer:

  B.  Incorrectly applied the distributive property

Step-by-step explanation:

You want to find Maria's error in her solution of -2(3x -5) = 40.

The solution can proceed as follows:

  -2(3x -5) = 40 . . . . . . . . given

  -6x +10 = 40 . . . . . . . . . use the distributive property

  -6x = 30 . . . . . . . . . . subtract 10

  x = -5 . . . . . . . . . . divide by -6

Comparing this solution to Maria's, we find that Maria incorrectly applied the distributive property. (She multiplied (-2)(-5) and got -10 instead of +10.)

Answer: Cameron score is 27 times greater than Marlon

Step-by-step explanation:

Since the question state that Cameron won the basketball game against Marlon, we can assume that Cameron score is 36 while Marlon is 9.

To compute how greater does Cameron score than Marlon we can use the Method of subtraction.

So what is subtraction?

SUBTRACTION: it is a process or method of taking away a number or the amount of number from another.

FORMULA:

Cameron score - Marlon score

36 - 9 = 27

Answer:27

REFERENCES;

https://languages.oup.com/

Concept

What is a multiple? a number that may be divided by another a certain number of times without a remainder.

A unit fraction is any fraction with 1 as its numerator (top number), and a whole number for the denominator (bottom number).

Therefore,

8)

9)

10)

11)

12)

13)

14)

15)

Answer:

34

Step-by-step explanation:

parenthesis get done first!

((5)2+(12)2)

then multiplication

(10+24)

then addition

34

Answer:

5+12+4 =21

Step-by-step explanation:

21 is the answer I think

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

Standard deviation = 0.59

Step-by-step explanation:

Given data → 5.6, 5.2, 4.6, 4.9, 5.7, 6.4

Mean of the given data = \(\frac{5.6+5.2+4.6+4.9+5.7+6.4}{6}\)

                                       = 5.4

   Data (x)              (x - mean)            (x - mean)²

     5.6             5.6 - 5.4 = 0.2             (0.2)² = 0.04

     5.2             5.2 - 5.4 = -0.2            (-0.2)² = 0.04

     4.6             4.6 - 5.4 = -0.8            (-0.8)² = 0.64

     4.9             4.9 - 5.4 = -0.5            (-0.5)² = 0.25

     5.7             5.7 - 5.4 = -0.3             (-0.3)² = 0.09

     6.4             6.4 - 5.4 = 1                  (1)² = 1

  N = 6                                                \(\sum (x-mean)^2\) = 2.06

Since, Standard deviation = \(\sqrt{\frac{\sum (x-mean)^2}{N}}\)

                                           = \(\sqrt{\frac{2.06}{6} }\)

                                           = 0.5859

                                           ≈ 0.59

The members of the given set in this problem are given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

The union and intersection sets of multiple sets are defined as follows:

The intersection of the sets Y and Z for this problem is given as follows:

Y ∩ Z = {0, 6, 23, 26}

(which are the elements that belong to both of the sets).

The union of the above set with the set X is given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

(elements that belong to at least one of the sets).

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66*0.5=3.30

7.80-3.30=4.50

4.50/0.10=45

ANSWER: 45 dimes

Answer:

all of them

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal

Answer:

Step-by-step explanation:

the correct answer is is the (D)

Answer: y=3x-9

Step-by-step explanation:

Lines are called parallel if their angular coefficients are equal to each other

Hence, y=3x-9

Answer:

\(x \ge -2\) or \(x < -5\)

Step-by-step explanation:

Given

\(5+x\ge3\) or \(6x+1<-29\)

Required

The solution

\(5+x\ge3\)

Solve for x

\(x \ge 3 - 5\)

\(x \ge -2\)

\(6x+1<-29\)

Solve for 6x

\(6x < -29 - 1\)

\(6x < -30\)

Solve for x

\(x < -30/6\)

\(x < -5\)

Hence, the solution is:

\(x \ge -2\) or \(x < -5\)

Answer:

0 is your answer..........

Answer:

Answer is 89. Because total slices were 96 and Mai ate 7 so 96 - 7 is 89

Answer:

Hello there your answer is 12 x  +  5 y  =  − 10!