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Volgvan
3 years ago
14

Which of these statements is true?

Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Answer:

C

Step-by-step explanation:

I took the test

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What should be the first step in adding these equations to eliminate y?
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5 0
3 years ago
Read 2 more answers
TIMED***Which equation is represented by the graph below?
Anuta_ua [19.1K]
   
From the graph we observe:  
If x = 0 then y = 1/2    (because  e⁰ = 1)

\displaystyle \bf \\&#10;\Longrightarrow~~\boxed{\bf y =  \frac{1}{2} e^x}



8 0
3 years ago
Solve 25+10*(12-x)=5*(2x-7)
lions [1.4K]
<span>Simplifying 25 + 10(12 + -1x) = 5(2x + -7)
25 + (12 * 10 + -1x * 10) = 5(2x + -7)
25 + (120 + -10x) = 5(2x + -7)
 
Combine like terms: 25 + 120 = 145 145 + -10x = 5(2x + -7)
 
Reorder the terms:
145 + -10x = 5(-7 + 2x)
145 + -10x = (-7 * 5 + 2x * 5)
145 + -10x = (-35 + 10x)
 Solving 145 + -10x = -35 + 10x
 
Solving for variable 'x'.
 
Move all terms containing x to the left, all other terms to the right.
 
Add '-10x' to each side of the equation.
145 + -10x + -10x = -35 + 10x + -10x
 Combine like terms: -10x + -10x = -20x 145 + -20x = -35 + 10x + -10x
 
Combine like terms: 10x + -10x = 0 145 + -20x = -35 + 0 145 + -20x = -35
 Add '-145' to each side of the equation. 145 + -145 + -20x = -35 + -145

Combine like terms: 145 + -145 = 0 0 + -20x = -35 + -145 -20x = -35 + -145

Combine like terms: -35 + -145 = -180 -20x = -180
  Divide each side by '-20'.
x = 9
 Simplifying x = 9.
Hope this helps you ! =')</span>
4 0
3 years ago
In January 2002, two students made worldwide headlines by spinning a Belgian euro 250 times and getting 140 heads—that’s 56%. Th
natita [175]

Answer with explanation:

The 90% confidence interval (51%, 61%) for proportion means that the proportion of getting heads lie in it.

Given : Total number of times coin is tossed = 250

Number of times they got head =140

The probability of getting a head = 0.56

The confidence interval for proportion is given by :-

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

Given significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Now, the 90​% confidence interval for proportion will be :-

0.56\pm (1.645)\sqrt{\dfrac{0.56(1-0.56)}{250}}\approx0.56\pm 0.0516\\\\=(0.56-0.0516,0.56+0.0516)=(0.5084,\ 0.6116)\approx(51\%,\ 61\%)

Hence, the given confidence interval is correct.

6 0
3 years ago
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