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Lady bird [3.3K]
2 years ago
12

The most efficient first step in the process to factor the trinomial 4x^3-20x^2+24x

Mathematics
1 answer:
USPshnik [31]2 years ago
7 0
Factor out 4x <=====
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Free points have a good week!!! Stay safe.
jeka57 [31]

Answer:

you too

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports
hichkok12 [17]

Answer:

1

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

2

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

3

t  =  3.054

4

The p-value  is   p-value  =  P(Z >  3.054) = 0.0011291

5

The conclusion is  

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is  

Step-by-step explanation:

From the question we are told that

   The first sample size is  n_1  =  51

    The first sample  mean is \mu_1  =  36

    The second sample size is  n_2  =  41

    The second sample  size is  \mu_2  =  25

     The first standard deviation is  \sigma _1  =  21.4 \  g

    The second standard deviation is  \sigma _2  =  12.8 \  g

  The  level of significance is  \alpha =  0.05

The  null hypothesis is  H_o  :  \mu_1 = \mu_ 2

The  alternative hypothesis is  H_a :  \mu_1 > \mu_2

Generally the test statistics is mathematically represented as

    t  =  \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}  } }

=>   t  =  \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51}  + \frac{ 12.8^2}{41}  } }

=> t  =  3.054

The  p-value is mathematically represented as

     p-value  =  P(Z >  3.054)

Generally from the z table  

             P(Z >  3.054) =  0.0011291

=>   p-value  =  P(Z >  3.054) = 0.0011291

From the values obtained  we see that p-value  < \alpha so  the null hypothesis is rejected

Thus the conclusion is  

  There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0
3 years ago
Find the volume of a cone with the radius of radius of 80 and height of 21
RoseWind [281]

Answer:

140672

Step-by-step explanation:

formula for cone volume=pi*r^2*h*1/3

80^2*3.14*21=422016

422016*1/3

=140672

5 0
3 years ago
A population analysist is using the formula Pn = 25.8(1.0219)h to predict the population for Ghana, a country in Africa. What do
Neko [114]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the formula :

Pn = 25.8(1.0219)^h to predict the population of Ghana ;

The equation given is in the form of an exponential function:

The general form of an exponential distribution :

y = ab^x

a = Initial value ; b = constant multiplier or growth or Decay factor

Comparing :

The number in parenthesis = 1.0219 = b

b = Decay or growth factor :

Since b > 1 ; then We have a growth factor;

b = 1 + rate

1.0219 = 1 + rate

Rate = 1.0219 - 1

Rate = 0.0219

Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%

7 0
2 years ago
On a certain map. 2.5 inches represents 15 miles. Bay City and Greenwood are 4 inches apart on the map. What is the actual dista
lubasha [3.4K]
2.5 =15
4=x
4/2.5= 1.6
15 times 1.6 is 24
8 0
3 years ago
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