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Alexus [3.1K]
3 years ago
11

Please help asap!!!

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0

Answer:

w = 6

Step-by-step explanation:

ST = w + 6,

PR = w

From the diagram given, we can deduce that PR is the midsegment of ∆QST. Therefore, according to the midsegment theorem:

PR = ½ of ST

Plug in the values into the equation and solve for w.

w = \frac{1}{2}(w + 6)

w = \frac{w}{2} + 3 (distributive property of equality)

w - 3 = \frac{w}{2} (subtraction property of equality)

2(w - 3) = \frac{w}{2}*2 (multiplication property of equality)

2w - 6 = w

2w - 6 - 2w= w - 2w (subtraction property of equality)

- 6 = - w

Divide both sides by -1

6 = w

w = 6

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Help asap please!! <3
xz_007 [3.2K]

Answer:

<u>3/2 or 1.5</u>

Step-by-step explanation:

<u>Finding the gradient</u>

  • gradient (m) = y₂ - y₁ / x₂ - x₁
  • m = 5 + 1 / 4 - 0
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6 0
2 years ago
Read 2 more answers
A drop on a wooden roller coaster is -98 1/2 feet. a drop on a steel roller coaster is 100 1/4 feet lower than the drop on the w
pochemuha
-198.75 or if you want a fraction: -198 3/4
7 0
3 years ago
Is this a function if it is please show your work and explain why.
Gnom [1K]

9514 1404 393

Answer:

  not a function

Step-by-step explanation:

When a left-side point originates more than 1 arrow, the relation is not a function. There are two such points here, so this relation is not a function.

8 0
3 years ago
It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hyper
vfiekz [6]

Complete Question

It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample 150 of each gender was selected from recent hospital records, and the following results were obtained.

Men. 43 patients had high blood pressure

Woman. 52 patients had high blood pressure.

Answer:

The  95% confidence interval is  

      - 0.1651 < p_m  - p_f

This mean that there is a 95 % confidence that the difference between the true proportions of male and  female that are hypertensive  is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive        

Step-by-step explanation:

From the question we are told that

    The  sample size for male is  n_1 =  150

    The  number of male that are hypertensive is  m  =  42

    The  sample size of female is  n_2  =  150

     The  number of female that are hypertensive is q =  52

The proportion of male that are hypertensive is mathematically represented as

         \r p_m  =  \frac{43}{150}

         \r p_m  =  0.287          

The proportion of female that are hypertensive is mathematically represented as

       p_f  =  \frac{52}{150}

      p_f  =  0.347

From the question we are told that confidence level is 95%, hence the level of significance is mathematically represented as

       \alpha  =  100 -95

      \alpha  =5\%

     \alpha  =0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from  the normal distribution table, the value is  

           Z_{\frac{ \alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p_m (1- \r p_m )}{n_1}  + \frac{ \r p_f (1- \r p_f )}{n_2} }

substituting value

         E =  1.96  * \sqrt{\frac{ 0.287 (1- 0.287 )}{150}  + \frac{ 0.347 (1-  0.347 )}{150} }

         E = 0.1051

The  95% confidence interval is mathematically represented as  

           (\r p_m  -  \r p_f )  - E < p_m  - p_f  < (\r p_m  -  \r p_f )  + E

substituting values

          ( 0.287 - 0.347 )  - 0.1051 < p_m  - p_f    

           - 0.1651 < p_m  - p_f

This mean that there is a 95 % confidence that the difference between the true proportion is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive.

4 0
3 years ago
the door frame has measurements of 3 feet by 8 feet. What is the length of the largest table that can be brought in the house on
saw5 [17]

Answer:

sqrt(73) = 8.54 feet.

Step-by-step explanation:

Remark

My guess is without the legs.

The person bringing it in will not be able to get a table in that is longer than the hypotenuse of a right triangle.

Givens

a = 8

b = 3

c = ??

Formula

a^2 + b^2 = c^2

Solution

8^2 + 3^2= c^2

64 + 9 = c^2

c^2 = 73

c = sqrt(73)

c = 8.54

The table can be no longer than 8 feet 5 inches about.

3 0
3 years ago
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