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Dmitry [639]
3 years ago
13

What is the multiplicative inverse of the number 5?

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

1/5

Step-by-step explanation:

You might be interested in
⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden
fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

        P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } ~ N(0,1)

where, \hat p = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = \frac{354}{1219}

           n = sample of US adults  = 1291

           p = population proportion of adults

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                                    significance level are -1.96 & 1.96}

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ) = 0.95

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } ]

                         = [ \frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } , \frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} } ]

                         = [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0
3 years ago
If 60 marks is 40%, how much is full marks (Show your working out)?
Vitek1552 [10]
' 40% ' means 0.4 .

You said that                           60          = 0.4 x Full

Divide each side by 0.4 :       60 / 0.4  =   1  x Full

                                                       Full  =  150 .
8 0
3 years ago
Read 2 more answers
I need help with substitution​
Neporo4naja [7]

Answer:

(-7,-15)

Step-by-step explanation:

We can substitute first y in the second y. Both equations are also functions. We can merge the equations.

2x - 1 = x - 8  \\ 2x - x =  - 8 + 1 \\ x =  - 7

Substitute x = -7 in any given equations. I will choose the second equation to substitute in.

y = x - 8 \\ y =  - 7 - 8 \\ y =  - 15

<u>Answer</u><u> </u><u>Check</u>

Substitute both x and y in both equations.

- 15 = 2( - 7) - 1 \\  - 15 =  - 14 - 1 \\  - 15 =  - 15

The equation is true for (-7,-15).

- 15 =  - 7 - 8 \\  - 15 =  - 15

The second equation is true for (-7,-15).

Therefore our answer is (-7,-15)

6 0
3 years ago
Read 2 more answers
What is the measure of
Annette [7]

Answer:

gvb

Step-by-step explanation:

your question is wrong

ask right question first

8 0
3 years ago
Factor the polynomial completely<br> 45x3 + 243x2 + 340x + 100
lozanna [386]
This can't be factored with rational numbers. 
3 0
3 years ago
Read 2 more answers
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