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umka21 [38]
3 years ago
5

Find the value of x in this figure?

Mathematics
2 answers:
kupik [55]3 years ago
8 0

Answer:

x = 30° (Option 2)

Step-by-step explanation:

Klio2033 [76]3 years ago
6 0
∠QOP = 180 - 60 - 60 = 60°  (Isoceles Δ since both the sides are radius)

∠OQP = 90° (tangent ⊥ to radius)

x = 180 - 60 - 90 (Sum of angles in a Δ is 180°)

x = 30° (Option 2)

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2.077× (10 to the -4th power) In Scientific notation PLEASE HELP
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If you are doing any scientific notation to the negative power the answer will be a decimal. In this case you will move the decimal point four places to the left.
The answer will be 0.0002077
4 0
3 years ago
State the gradient of the line perpendicular to the line y=3x-2
kherson [118]

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

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7 0
3 years ago
Estimate the volume of the prism 6.8 ft 0.0 ft 0.6 ft
Degger [83]

Answer: If rounded it would be 13 (together not rounded).... If not its would be 12(not rounded)

Step-by-step explanation:     6.8 is about to 7,.... and 0.0 is just 0..... and 0.6 is close to 0.5 all together would be 13 but if we round it would be 12

6 0
3 years ago
Jocelyn and her children went into a bakery and she bought $9 worth of cookies and brownies. Each cookie costs $0.50 and each br
Yuliya22 [10]

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

6 0
3 years ago
Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo
Semenov [28]

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  14

    The correlation is  r =  0.65

     

The  null hypothesis is  H_o :  r <  0

The  alternative hypothesis is  H_1 :  r > 0

Generally the standard deviation is mathematically evaluated as

       Sr =  \sqrt{1- r}

       Sr =  \sqrt{1- 0.65}

       Sr = 0.616

The  degree of freedom for the one-tail test is

       df =  n- 2

        df =  14- 2

        df = 12

The standard error is evaluated as

        SE  =  \frac{0.616}{ \sqrt{12} }

        SE  =0.1779

The test statistics  is evaluated as

      t =  \frac{r }{SE}

       t =  \frac{0.65 }{0.1779}

        t =  3.654

The p-value of of  t is obtained from the z table, the value is  

        p-value =  P(t <  3.654) =  0.00012909

Given that p-value  <  \alpha  then we reject the null hypothesis

           Hence the company can conclude that the correlation is positive

     

6 0
4 years ago
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