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vova2212 [387]
3 years ago
8

Slove for x

frac{1}{4}x=\frac{1}{3} x+-4" alt="\frac{1}{4}x=\frac{1}{3} x+-4" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

x = 48

Step-by-step explanation:

The trick here is to get everything into the numerator. To do this, we multiply everything by 4*3.

\frac{1}{4}x=\frac{1}{3} x+-4\\3x=4x-48\\48=4x-3x\\x=48

BabaBlast [244]3 years ago
7 0

Answer and Step-by-step explanation:

The answer for this question is : x = 48

Step 1 : Subtract 1/3x from both sides:

\frac{1}{4}x-\frac{1}{3}x=\frac{1}{3}x-4-\frac{1}{3}x

\frac{-1}{12}x=-4

Step 2 : Multiply both sides by 12/(-1):

(\frac{12}{-1})*(\frac{-1}{12x}=(\frac{12}{-1})*(-4)

You'll get your answer as :

x=48

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The volume of this cone is 320Tr units. What is the height of this cone if the radius is 8 units?
Nostrana [21]

Answer:

Height = 4.78 unit approximately

Step-by-step explanation:

Volume of a one is given by the formula 1/3πr²h

So given that yhe volume of this cone is equal to 320Tr units

And the radius is 8 units.

Lets determine the height of the cone.

V= 1/3πr²h

But V = 320

r = 8

320 = 1/3((3.14)(8)²h

(320*3)/(3.14*64)= h

960/200.96= h

4.777= h

h = 4.78 unit approximately

4 0
4 years ago
A random sample of 12 students used Method A, and their increase in points averaged 46.31, with a sample standard deviation of 6
Kitty [74]

Answer:

The null hypothesis is   H_o  :  \mu_A  - \mu_B  =  0

The alternative hypothesis is  H_a :  \mu_A - \mu_B > 3  

Step-by-step explanation:

From the question we are told that

  The mean of method A is \mu_A =  46.31

  The standard deviation of method A is  \sigma  = 6.44

   The  mean of method B is  \mu_B   =  42.79

   The standard deviation of  method B  is  \sigma_B  =  7.52

An appropriate set of null and alternative hypothesis to determine whether Method A increases students points by more than 3 points is

The null hypothesis is   H_o  :  \mu_A  - \mu_B  =  0

The alternative hypothesis is  H_a :  \mu_A - \mu_B > 3  

6 0
3 years ago
A 90% confidence interval for u using the sample results X = 131.2, s=55 , and n= 50 Round your answer for the point estimate to
Ilya [14]

Answer:

131.2 ;

12.8 ;

(118.4, 144)

Step-by-step explanation:

Given :

X = 131.2, s=55 , and n= 50

Point estimate of the mean :

Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :

Margin of Error = Zcritical * s / sqrt(n)

Zcritical at 90% = 1.645

Margin of Error : 1.645 * (55 / sqrt(50))

Margin of Error : 1.645 * 7.7781745

Margin of Error = 12.795097

Margin of Error = 12.8

The confidence interval (C.I) :

C.I = x ± margin of error

C. I = 131.2 ± 12.8

(131.2 - 12.8) ; (131.2 + 12.8)

(118.4, 144)

8 0
3 years ago
Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line y = x + 5​
Aleksandr [31]

Answer:

2=5 I don't think it's right but still trying

5 0
3 years ago
I have a friend in need. Her name is Sienna and she has cancer along with co.vid. Please pray for her well being because she rea
Rzqust [24]

Answer:

I will

Step-by-step explanation:

7 0
3 years ago
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