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jarptica [38.1K]
3 years ago
13

The number of members in an organization increases by an average of 150 members annually. There were 4,650 members in 1971. Choo

se the equation below that gives the approximate number of members, Mn, in the nth year after 1970.
A.
Mn = Mn-1 + 150 for n > 1 ; M1 = 4,500

B.
Mn = Mn-1 + 150 for n > 1 ; M1 = 4,650

C.
Mn-1 = Mn + 150 for n > 1 ; M1 = 4,650

D.
Mn-1 = Mn + 150 for n > 1 ; M1 = 4,500
Mathematics
2 answers:
Anarel [89]3 years ago
6 0

Answer:

B Mn=-1+150 for N> 1; M1 = 4,650

Step-by-step explanation:

blahh

8_murik_8 [283]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experime
Citrus2011 [14]

Answer:

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

Step-by-step explanation:

We have to perform a hypothesis test on the difference between means.

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2

μ1: mean heat output for subjects with the syndrome.

μ2: mean heat output for non-sufferers.

We will use a significance level of 0.05.

The difference between sample means is:

M_d=\bar x_1-\bar x_2=0.63-2.09=-1.46

The standard error is

s_{M_d}=\sqrt{\sigma_1^2/n_1+\sigma_2^2/n_2}=\sqrt{0.3^2/9+0.5^2/9}=\sqrt{ 0.038 } \\\\ s_{M_d}=0.194

The t-statistic is

t=\dfrac{M_d}{s_{M_d}}=\dfrac{-1.46}{0.194}=-7.52

The degrees of freedom are

df=n_1+n_2-2=9+9-2=16

The critical value for a left tailed test at a significance level of 0.05 and 16 degrees of freedom is t=-1.746.

The t-statistic is below the critical value, so it lies in the rejection region.

The null hypothesis is rejected.

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

5 0
3 years ago
2 times what equals 36?
Tanya [424]
18 ,2x18=36 hope i helped
3 0
3 years ago
Find the area of the shaded region. Round the nearest hundredth if necessary. YZ=14.2m
andreyandreev [35.5K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

1

   A_1  =  67.58 \ in^2

2

   A_2 =415.4 \ ft^2

3

   A_3  =  8.48 \ cm^2

4

  A_4 =  480.38 \ m^2

Step-by-step explanation:

Generally the area of a sector is mathematically represented as

         A =  \frac{\theta}{360} * \pi r^2

Now at r_1  = 11 in and  \theta_1 =  64^o

       A_1 =  \frac{64}{360} * 3.142  * 11^2

       A_1  =  67.58 \ in^2

Now at  r_2  = 20 ft in and  \theta_2  =  119 ^o

       A_2 =  \frac{119}{360} * 3.142 *  20^2

       A_2 =415.4 \ ft^2

Now at  r_3  = 6.5 cm   and  \theta_3 =  23 ^o

     A_3  =  \frac{23}{360} * 3.142 *  6.5 ^2

      A_3  =  8.48 \ cm^2

Now at  r_4  = 14.2 m   and  \theta_4 = 360 -87 =  273 ^o

         A_4 =  \frac{273}{360}  * 3.142 * 14.2^2

          A_4 =  480.38 \ m^2

6 0
3 years ago
A fireman's water hose shoots 320 kg of water each second against the door of a building. The velocity of the water is 20 m/s an
NeX [460]

Answer:

6400\ \text{N}

Step-by-step explanation:

\dfrac{m}{t} = Mass flow rate of water = 320 kg/s

m = Mass of water on the door

t = Time

v = Velocity of water on the door = 20 m/s

Force is given by

F=\dfrac{m}{t}v\\\Rightarrow F=320\times 20\\\Rightarrow F=6400\ \text{N}

The average force is exerted by the stream of water is 6400\ \text{N}.

3 0
3 years ago
Three consecutive integers have a sum of 48. Find the integers.
Lady bird [3.3K]

Answer:

15,16,17

Step-by-step explanation:

Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)

x+x+1+x+2=48

3x+3=48

3x=45

x=15

15,16,17

8 0
3 years ago
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