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Yuliya22 [10]
2 years ago
5

Factor completely 54x4 + 2x​

Mathematics
1 answer:
Margarita [4]2 years ago
4 0

Answer:

2x+216

Step-by-step explanation:

The answer was easy to get because to factor you would just multiply the two numbers together to get 54x4 = 216 and then add the 2x, so your answer is 216+2x

You might be interested in
How do you find arc ab
Marta_Voda [28]
Use trigonometry to find the angle between the segments 3 and 6.
  ∠XOB = arccos(3/6) = 60°

The measure of arc AB is double that angle, since the figure is symmetrical about the line containing the segment of length 3.

m(arc AB) = 2·60° = 120°
7 0
3 years ago
During the 7th examination of the Offspring cohort in the Framingham Heart Study, there were 1219 participants being treated for
AlexFokin [52]

Answer:

95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

Step-by-step explanation:

We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.

The sample proportion is :  \hat p = x/n = 1219/3532 = 0.345

Firstly, the pivotal quantity for 95% confidence interval for the proportion of the population is given by;

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

where, \hat p = sample proportion = 0.345

           n = sample of participants = 3532

           p = population proportion

<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% level of

                                                         significance 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} } }]

    = [ 0.345-1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } } , 0.345+1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } } ]

    = [0.3293 , 0.3607]

Hence, 95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

6 0
3 years ago
Does anyone know the answer to this ??
xenn [34]

Answer:

The answer is C. 14.5 miles

4 0
3 years ago
In ΔSTU, the measure of ∠U=90°, SU = 7, UT = 24, and TS = 25. What ratio represents the tangent of ∠T?
Vinvika [58]

Answer:

Tan T = 7/24

Step-by-step explanation:

Firstly, please check attachment to have a picture of the triangle we are solving.

Now, we are concerned with calculating the ratio that represents the tangent of angle T.

Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.

In this question, our opposite is 7 while the adjacent is 24.

Thus Tan T = 7/24

6 0
3 years ago
Use the properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic
seraphim [82]

Answer:

xvdsltoqk73jyeu54344y5eg62iuyeytmemymduememwu

6 0
3 years ago
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