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nasty-shy [4]
2 years ago
12

What is the 46th term in the arithmetic sequence? -1.5,-1.3, -1.1,-0.9...?

Mathematics
1 answer:
schepotkina [342]2 years ago
5 0

Answer:

a(46) = -1.5 + 0.2(45) = -1.5 + 9 = 7.5

Step-by-step explanation:

Each term of this sequence is 0.2 greater than the previous term.  The formula for this arithmetic sequence is

a(n) = -1.5 + 0.2(n - 1)

and so the 46th term is:

a(46) = -1.5 + 0.2(45) = -1.5 + 9 = 7.5

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

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

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
2 years ago
What is the yyy-intercept of y=-3-7xy=−3−7xy, equals, minus, 3, minus, 7, x?
stiv31 [10]

<em><u>Complete Question:</u></em>

What is the y intercept of y = -3-7x

<em><u>Answer:</u></em>

<h3>The y intercept is (0, -3)</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y = -3 - 7x

The y intercept is the point where the line crosses the y axis

<u>Finding y intercept: </u>

To determine the y-intercept, we set x equal to zero and solve for y

Substitute x = 0 in given equation

y = -3 - 7(0)

y = -3 - 0

y = -3

Thus the y intercept is (0, -3)

8 0
2 years ago
Find the values of x and y that satisfy the equation.<br><br> 4x+2i=8+yi<br> x= <br> and y=
stiks02 [169]

Answer:

The values of x and y that satisfy the equation are 2 and 2, respectively.

Step-by-step explanation:

Two complex numbers are identical if and only each pair of respective coefficients are identical on both sides. Then, we need to observe the following conditions:

Real component

4\cdot x = 8 (1)

Imaginary component

2 = y (2)

The solution of this system of equations is x = 2 and y = 2.

The values of x and y that satisfy the equation are 2 and 2, respectively.

5 0
2 years ago
Aslam Farid and majid are going to buy a shop that costs 54 million rupees .if Aslam pays 5 million rupees more than Farid and F
blagie [28]

Answer:

17million

Step-by-step explanation:

5+(2m)+m+2+m=54

9+3m=54

3m=45

m=15

Farid=15+2=17

3 0
2 years ago
You ask 150 people about their pets. The results show that 9/25 of the people own a dog. Of the people who own a dog. 1/6 of the
asambeis [7]
45 9 x 6 = 54 / 6 = 9. 54 - 9 = 45
6 0
2 years ago
Read 2 more answers
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