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marysya [2.9K]
2 years ago
11

The light intensity of a certain brand of light bulb is modeled by the function f(w) = 1.1w where w represents watts. Which stat

ement BEST describes the function? A) light intensity increases exponentially B) light intensity increases linearly C) light intensity is constant D) light intensity increases
Mathematics
1 answer:
Kisachek [45]2 years ago
7 0
For this case we have the following function:

 <span>f(w) = 1.1w

 </span>The first thing we must do for this case is to define the variables.
 <span />We have then:
 <span />w: represents watts
<span> 
 We observe that the function varies directly, therefore, we have a linear function and the constant of variation is positive.
 That is, the slope of the line is positive.
 Therefore, the linear function grows.

 Answer:
 B) light intensity increases linearly</span>
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Candidate A is facing two opposing candidates in a mayoral election. In a recent poll of 300 residents, 98 supported candidate B
babymother [125]

Answer:

[0.4235, 0.5365]

Step-by-step explanation:

Data given and notation  

n=300 represent the random sample taken    

X=300-98-58=144 represent the people that support the candidate A in the sample

\hat p=\frac{144}{300}=0.48 estimated proportion of people that support the candidate A in the sample

\alpha=0.05 represent the significance level

Confidence =0.95 or 95%

p= population proportion of people that support the candidate A.

Confidence interval

The confidence interval would be given by this formula

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

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.48 - 1.96 \sqrt{\frac{0.48(1-0.48)}{300}}=0.4235

0.48 + 1.96 \sqrt{\frac{0.48(1-0.48)}{300}}=0.5365

And the 95% confidence interval would be given (0.4235;0.5365).

0.4235 \leq p \leq 0.5365

8 0
2 years ago
Dilly is 7 years younger than Dally. In 4 years time she will be half Dally’s age. What is the sum of their ages now?
Step2247 [10]

Answer:

<u>The sum of their ages now is 13</u>

Step-by-step explanation:

Dally's age = x

Dilly's age = x - 7

In 4 years time Dilly will be half Dally’s age, therefore:

Dilly's age plus four equals to half of Dally’s age plus four,

replacing with the values and variables we know:

x - 7 + 4 = (x + 4) /2

x - 3 = (x + 4) /2

2x - 6 = x + 4 (Multiplying by 2 at both sides)

2x - x = 4 + 6 (Like terms)

x = 10 ⇒ x - 7 = 3

<u>The sum of their ages now is 13 (10 + 3)</u>

4 0
2 years ago
If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is
svp [43]
Unlikely to have ????
8 0
2 years ago
A 100-square grid has 70 shaded squares. Explain how you could express this model as a fraction, percent, and decimal.
slava [35]
The fraction of squares shaded to total squares is 70/100  or 7/10
With a percent, 70% of all of the squares are shaded
With a decimal, there are 0.7 shaded blocks for every total block, so it is 0.7
Hope this helps!
6 0
2 years ago
Read 2 more answers
XY=7a,YZ=5a,XZ=6a+24
leonid [27]
7a + 5a = 6a + 24 
<span>6a = 24 </span>
<span>a = 4 </span>
<span>XZ = 6(4) + 24 </span>
<span>XZ = 48 </span>
5 0
2 years ago
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