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Bumek [7]
2 years ago
12

2. What is the value of 9x – 4y if x = 3 and y = 2? F. 12. G. 19 H. 93 1. 27 H

Mathematics
1 answer:
Igoryamba2 years ago
3 0

Answer:

G. 19 is your answer dear

Step-by-step explanation:

9(3)-4(2)

27-8 = 19

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Solve for d.<br> d^3 + 27 = 0<br> Write your answers in simplified, rationalized form.
tester [92]

Answer:

d=-3

Step-by-step explanation:

d3+27=0

Step 1: Subtract 27 from both sides.

d3+27−27=0−27

d3=−27

Step 2: Take cube root.

d=(−27)(

1

3

)

d=−3

7 0
3 years ago
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Write the equation of the parabola in vertex form.<br> vertex (2,4), point (3,-2)<br> f(x)=
Maurinko [17]

Answer:

f(x)=2x2−8x+4. Explanation: the equation of a parabola in vertex form is.

5 0
2 years ago
The length of a rectangle is 1 more yd than twice the width, and the area of the rectangle is 66 yd squared. Find the dimensions
Salsk061 [2.6K]

Width = 5.5yd  

Length = 12yd

<u>Explanation:</u>

Area of rectangle =  66yd^{2}

Let width of the rectangle = b ,  

So, length = 2b+1  

Area of rectangle = (length X width) - eqn 1

Putting the value of length and width in above equation 1,

66yd^{2} = (2b+1) X b\\66yd^{2} = 2b^{2} + b\\2b^{2} +b-66 = 0\\

On solving the equation we get,

b = 5.5yd

So, width (b) = 5.5yd

and length = 2(5.5) + 1

l = 12yd

Hence,  

Width = 5.5yd  

Length = 12yd

6 0
3 years ago
What is the length of the diagonal of a square with 8 foot sides?
devlian [24]
Using the Pythagorean Theorem, 

a² + b² = c²

c² = 8² + 8²

c² = 64 + 64

c² = 128

c = √128

c =8√2 (radical form) or  11.31 feet (nearest hundredth)

Answer: 11.31 feet 
3 0
3 years ago
Two random samples are taken, with each group asked if they support a particular candidate. A summary of the sample sizes and pr
Minchanka [31]

Answer:

And we got \alpha/2 =0.01 so then the value for \alpha=0.02 and then the confidence level is given by: Conf=1-0.02=0.98[/tex[ or 98%Step-by-step explanation:A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  The margin of error is the range of values below and above the sample statistic in a confidence interval.  Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  [tex]p_1 represent the real population proportion for 1

\hat p_1 =0.768 represent the estimated proportion for 1

n_1=92 is the sample size required for 1

p_2 represent the real population proportion for 2

\hat p_2 =0.646 represent the estimated proportion for 2

n_2=95 is the sample size required for 2

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}  

For this case we have the confidence interval given by: (-0.0313,0.2753). From this we can find the margin of erro on this way:

ME= \frac{0.2753-(-0.0313)}{2}=0.1533

And we know that the margin of erro is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}

We have all the values except the value for z_{\alpha/2}

So we can find it like this:

0.1533=z_{\alpha/2} \sqrt{\frac{0.768(1-0.768)}{92} +\frac{0.646 (1-0.646)}{95}}

And solving for z_{\alpha/2} we got:

z_{\alpha/2}=2.326

And we can find the value for \alpha/2 with the following excel code:

"=1-NORM.DIST(2.326,0,1,TRUE)"

And we got \alpha/2 =0.01 so then the value for \alpha=0.02 and then the confidence level is given by: Conf=1-0.02=0.98 or 98%

7 0
3 years ago
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