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topjm [15]
4 years ago
11

The first number in a pattern is 8 .Each following number is found by subtracting 9 from the previous number. What is the fifth

number in the pattern ?
Mathematics
2 answers:
Gemiola [76]4 years ago
8 0
The answer is -37 because you start with 8 and since you are subtracting by 9 and you are doing that 5 times you would take 9 multiple by 5 and you get 45. Then you take 8 and subtract 45, and you would get -37
Tom [10]4 years ago
7 0

Answer:

poop sock

Step-by-step explanation:

poop sock

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Are these expectations equivalent? Explain why or why not 42+35 7(6+5)<br><br> HELP PLEASE
const2013 [10]

\frac{42}{35} :\frac{6}{5}

7\left(\frac{6}{5}\right)=\frac{42}{5}

They are not equivalent.

6/5= 1.2

42/5= 8.4

3 0
3 years ago
Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 t
Yanka [14]

Answer:

Friend A

\hat p_A= \frac{100}{400}=0.25

z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47  

Friend B

\hat p_B= \frac{20}{120}=0.167

z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80  

Friend C

\hat p_C= \frac{65}{300}=0.217

z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17  

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

Step-by-step explanation:

Data given and notation

n represent the random sample taken

X represent the number of scissors selected for each friend

\hat p=\frac{X}{n} estimated proportion of  scissors selected for each friend

p_o=\frac{1}{3}=0.333 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion that the friend will pick scissors is less than 1/3 or 0.333, the system of hypothesis would be:  

Null hypothesis:p\geq 0.333  

Alternative hypothesis:p < 0.333  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

Friend A

\hat p_A= \frac{100}{400}=0.25

z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47  

Friend B

\hat p_B= \frac{20}{120}=0.167

z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80  

Friend C

\hat p_C= \frac{65}{300}=0.217

z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17  

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

6 0
4 years ago
The second number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
neonofarm [45]

Answer:y coordinate

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
10. Subtract the<br>fractions.<br>20 1 / 2 - 15 1/2 =<br>*Bonus: Reduce the<br>fraction.​
BartSMP [9]

Answer: 5

Step-by-step explanation:

20\frac{1}{2}-15\frac{1}{2}

20-15(\frac{1}{2}-\frac{1}{2})

5

3 0
4 years ago
let f(x) = 2x^2+5-e^x , use the intermediate value theorem to show that the f(x) has a root in the interval [3,4]?
sergiy2304 [10]

9514 1404 393

Answer:

  sign(f(3)) ≠ sign(f(4))

Step-by-step explanation:

The intermediate value theorem tells you that a sign change between f(a) and f(b) means there is a root in the interval [a, b].

Here, we have f(3) ≈ +2.9 and f(4) ≈ -17.6, so there is a root in [3, 4].

_____

The root is approximately 3.27560108885.

7 0
3 years ago
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