All categories

1 year ago

WILL GIVE BRAINLIEST‼️‼️ If the mean of the following frequency distribution is 24; determine the value of p.

Mathematics

1 answer:

liq [111]1 year ago

5 0

<h2>Answer- P=18</h2>

Step-by-step explanation:

Greetings !

Firstly, find the class-midpoints (X) to solve for the mean.

Thus, mid points of each classes are

$5.15.25.35.45$

Solve, for p using mean grouped data formula

$\frac{5(3) + 15(4) + 25(p) + 35(3) + 45(2)}{3 + 4 + p + 3 + 2} = 24$

multiply each values add them and solve for p.

 $\frac{15 + 60 + 25p + 105 + 90}{12 + p} = 24$ 

make a cross multiplication

$270 + 25p = 24(12 + p) \\ 270 + 25p = 288 + 24p$

subtract 270 from both sides

$270 + 25p - 270 = 288 + 24p - 270 \\ 25p = 24p + 18$

subtract 24p from both sides

$25p - 24p = 24p + 18 - 24p \\ p = 18$

Also refer the attached image for further details

Hope it helps!

You might be interested in

Find the unit rate if, 350 miles needs 14 gallons of gas.

expeople1 [14]

Answer:

Step-by-step explanation:

Step 1: 350:14

Step 2: 175:7

Step 3: 7/7= 1

Step 4: 175/7=25

350:14=25:1

The car will run 25 miles for each gallon of gas

5 0

1 year ago

Read 2 more answers

Convert the following decimal to a percentege!!!!!! brainlest too

AfilCa [17]

Answer:

8.61%

61.29%

14.86%

20%

Step-by-step explanation:

8 0

2 years ago

the line of symmetry of a parabola whose equation is y = ax ^ 2 - 4x + 3 is =-2 what is the value of "a"

77julia77 [94]

Y= ax² -4x +3

-b/2a is x - coordinate of the vertex,
line of symmetry x=-2, x=-2 is a coordinate of the vertex also, because the line symmetry has vertex.

x= -b/2a
x= -2, b= -4
-2=-(-4)/2a
-2=4/2a
-2=2/a
a=2/(-2)=-1
a= - 1

5 0

2 years ago

A right triangle has legs measuring 16 inches and 20 inches what is the length of the hypotenuse

leonid [27]

Answer:

The length of the hypotenuse is $4\sqrt{41}\ in$

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

where

c is the hypotenuse

a,b are the legs of the right triangle

substitute the values

$c^{2}=16^{2}+20^{2}$

$c^{2}=256+400$

$c^{2}=656$

$c=\sqrt{656}\ in$

Simplify

$c=4\sqrt{41}\ in$

8 0

2 years ago

Consider the figure below. Line FG is parallel to line JK.

Svet_ta [14]

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

6 0

2 years ago

WILL GIVE BRAINLIEST‼️‼️ If the mean of the following frequency distribution is 24; determine the value of p.​

WILL GIVE BRAINLIEST‼️‼️ If the mean of the following frequency distribution is 24; determine the value of p.