Answer:
The third term of a proportional will be: 84
Step-by-step explanation:
We know that if a, b, c and d are in proportion, then:
[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]
In our case, we are given the first, second, and fourth terms are [tex]24, 36, 126[/tex]
[tex]a = 24[/tex]
[tex]b = 36[/tex]
[tex]d = 126[/tex]
and we have to determine the third term 'c'.
as we know that if a, b, c, and d are in proportion, then:
[tex]\:\:a\:\times \:d\:=\:b\:\times \:c[/tex]
Thus,
substituting a = 24, b = 36, d = 126 to determine
[tex]24\:\times \:126\:=\:36\:\times \:c[/tex]
[tex]c=\frac{24\:\times \:\:126}{36}[/tex]
[tex]c=\frac{3024}{36}[/tex]
[tex]c = 84[/tex]
Thus, the third term of a proportional will be: 84
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 8,300 miles. What proportion of these tires last between 40,000 and 45,000 miles
Answer:
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
Step-by-step explanation:
P [ 40000 ≤ X ≤ 45000 ] = ?
To find the probablity P [ X ≤ 40000 ] = ?
z(s) = ( X - x ) / σ
z(s)= ( 40000 - 6000 )/ 8300
z(s) = -20000/8300
z(s) ≈ - 2,41
Then
from z-table we find P [ X ≤ 40000] = 0,00820
Now again:
For P [ X ≤ 45000 ]
z₂ = ( X - x ) / σ
z₂ = ( 45000 - 6000 ) / 8300
z₂ = - 15000 / 8300
z₂ = - 1,8072
z₂ ≈ 1,81
From z - table
For P [ X ≤ 45000 ] = 0,03593
Then:
P [ 40000 ≤ X ≤ 45000 ] = 0,03593 - 0,00820
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
What is greater than 525.06 but less than 525.6?
Answer:
A
Step-by-step explanation:
A teacher writes 0.105 on the board. Lisa calls this number "one hundred five thousandths."
Stephen calls this number "one tenth, five thousandths." Mathematically justify why Lisa's
and Stephen's statements are equivalent. Hint: Use at least one model.
please help me!! i will mark brainliest!!
Answer:
350?
Step-by-step explanation:
Solve the system of linear equations by substitution. Check your solution.
Answer:
(x,y)= (- 2, - 1)
Step-by-step explanation:
11.
(a) a radius 10.00
(bla diameter 17.5cm
2. Find the area in hectares of a rectangular piece of land
1.25km by 0.75km.
Answer:
Step-by-step explanation:
1.25 km × 0.75 km = 0.9375 km²
1 km = 100 hectares
0.9375 km² = 93.75 hectares²
Suppose the either grade goes on a field trip; 283 students and 10 teachers. Each bus holds 72 people and costs $610. How much money is needed? Explain how you reused your model.
Answer:
228750
Step-by-step explanation:
283×610=172630
10×610=6100
82×610=50020
3/4 x 25 please bro and i need to make this longerrrr
Answer:
18.75
Step-by-step explanation:
18.75
Find the equation of the linear function represented by the table below in slope-
intercept form.
х
у
1
8
2
12
3
16
4
20
Answer:
y = 4x+4
Step-by-step explanation:
Using the coordinate point (1, 8) and (2, 12) from the table
Slope m = 12-8/2-1
m = 4/1
m = 4
Get the intercept
Substitute m = 4 and (1, 8) into y = mx+c
8 = 4(1) + c
8 - 4 = c
c = 4
Get the required equation
y = 4x + 4
Hence the required linear equation is y = 4x+4
Complete the ratio table with the numbers:
A) 18, 6, 44, 10
B) 20, 5, 45, 10
C) 24, 5, 48, 4
D) 28, 6, 44, 9
Answer:
C
24, 5, 48, 4 because blue is 6 times green
Step-by-step explanation:
Hope this helps
If lia has 1,00000$ and she spend 2,000 on her nails and feet to get done then.She buys new chanel shoes that cost 1,000 and then buys 400$ worth of clothes how much money will be left? Pls help
Answer:she will have 96,600
Step-by-step explanation:
Hope this helps
Which of the following statements about UK and UL is true?
O A. JL is longer than JK.
O B. UK and JL are the same length.
c. UK is 7 units long
D. UK is longer than UL
Answer:
B
Step-by-step explanation:
Using the equation y = 2x – 3, what would the input need to be for an output of 7?
Answer:
5
Step-by-step explanation:
We have an equation and are asked to find the input of x when y = 7.
The output = y = 7
The input = x
7 = 2x - 3
2x - 3 = 7
We need to find a number that multiplied by 2 which then is subtracted by 3 equals 7. We can use the backwards method to solve our answer.
2x - 3 = 7
7 + 3 = 2x
10 = 2x
Solve for x by dividing 2 from both sides :
x = 5.
Therefore, you would need an input of 5 to get 7 as the output.
Proof :
2(5) - 3 = 7
10 - 3 = 7
Answer:
x = 5
Step-by-step explanation:
Remark
This is a fancy way of asking you what is the value of x when y = 7
Equation
7 = 2x - 3
Solution
7 = 2x - 3 Add 3 to both sides
7 + 3 = 2x Combine the left.
10 = 2x Divide by 2
2x/2 = 10/2
x = 5
Please Help me with X and Y
Answer:
a) x = 69°
b) y = 69°
Step-by-step explanation:
a. Given that AB and CD are parallel lines, therefore:
x = 69° (alternate interior angles are congruent to each other)
b. y + 111° = 180° (consecutive interior angles are supplementary)
y = 180° - 111° (substraction property of equality)
y = 69°
A gambler claims that horses in a horse race that start closer to the rail have an advantage over horses that start further from the rail because the horses closer to the rail have a shorter distance to travel to win the race. In a sample of 120 races, the following data show the number of winners from each starting position. If the starting position is not a factor then each starting position should have produced 20 winners.
Starting position: 1 2 3 4 5 6
# of Winners: 25 22 18 19 21 15
Test the hypothesis at the 5% level of significance to see if starting position is a factor.
Answer:
Hence, the p-value ( 0.699986) > 0.05, FAIL TO REJECT THE NULL HYPOTHESIS
there is no significant evidence that starting position is a factor in horse races
Step-by-step explanation:
Given the data in the question;
Starting position: 1 2 3 4 5 6
# of Winners: 25 22 18 19 21 15
Mean x" (E) = (25+22+18+19+21+15)/6 = 120/6 = 20
Observed/Expected value table;
O E ((O-E)²) / E
25 20 1.25
22 20 0.2
18 20 0.2
19 20 0.05
21 20 0.05
15 20 1.25
∑ 3
so using chi square = ∑(((O-E)²) / E) = 3
DF = n-1 = 6-1 = 5
then, the critical chi square value is;
significance level = 0.05
chi square( critical ) = 11.07049769
from table;
p - value = 0.699986
Hence, the p-value ( 0.699986) > 0.05, FAIL TO REJECT THE NULL HYPOTHESIS
there is no significant evidence that starting position is a factor in horse races
A light bulb consumes 3600 watt hours per day how long does it take to consume 15300 watt-hours
Answer:
4.25 days
Step-by-step explanation:
Divide 15300 by 3600 to get the amount of time it takes. It takes 4.25 days for the bulb to consume 15300 watt-hours.
Answer:
11700
Step-by-step explanation:
15300-3600=11700
Pls help 20 points this question is for my friend
Answer:
750 cubic feet
Step-by-step explanation:
A teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container is 2/3 full. What fraction of the tea from a full cup is needed to fill 1 entire container?
Tamanika received a raise in her hourly pay, from
$16.00 to $19.36. Find the percent change.
Which pair of numbers has 2 as its greatest common factor
Answer:
6 and 12 have the greatest common factor of 2
Answer:
4
Step-by-step explanation:
Please Help
a in a complete sentence, describe the angle relationship in the diagram
Which is the graph of y=log(-x)
Answer:
i have attached an image of the graph of y = log(-x)
help me with my math please
Answer:
18
Step-by-step explanation:
hope this helps
Answer:
18
Step-by-step explanation:
4/5 x 45 this is due in in tree min
Which answer choice shows 27.699 rounded to the nearest hundredth?
OA) 27.610
O B) 27.61
OC) 27.70
OD 27.71
Prism A is a triangular prism. The triangular base has a base of 7 meters and height of 9 meters. The prism has a height of 4 meters. Prism B is a rectangular prism with length of 8 meters, width of 2 meters, and height of 8 meters.
Which prism has the least volume?
Prism ________
Answer:
A
Step-by-step explanation:
Prism A Volume
The Column of Prism A = Base (Area) * Height.
I think you have to assume that the triangle is a right triangle.
Area of the triangle = 1/2 * 9 * 7
Area of the triangle = 1/2 63
Area of the triangle = 31.5
Volume of the Prism = area of the triangle * thickness
Volume of the prism = 31.5 * 4
Volume of the prism = 126 m^3
Prism B = L * w * h
Prism B = 8 * 8 * 2
Prism B = 128
Prism A has the least volume by just a little.
Answer:
Prism A has the least volume
Step-by-step explanation:
I just know ^w^
Adam is making mini berry pies. For the filling, he mixes 1 pound each of raspberries,
blueberries, and blackberries. Then, he scoops 6 ounces of the filling into each mini pie tin. If
he wants to use up all of his filling, how many mini pies can he make?
Answer:
8 pies.
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzz helppppppppppppp meeeeeeeeee
Answer:
2m+14
Step-by-step explanation:
I hope its right
Answer:
2(m+14)
Step-by-step explanation:
m represents how much Ashton has.
-add 14 to how much Ashton has
(m+14) represents how much Riley has.
-multiply how much RIley has by 2
2(m+14) represents how much Peyton has.
50 POINTS I WILL MARK BRAINLIEST PLZ HELP ITS TIMED
Clara’s teacher asked her to draw a polygon with vertices (–2, 4), (5, 4), (3, –3), and (–2, 0) and to identify the polygon. Clara drew the polygon below and identified it as a quadrilateral.
On a coordinate plane, a polygon is formed by points (negative 2, 4), (5, 4), (3, negative 3), and (negative 2, 0).
Which explains whether Clara is correct?
Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure with the wrong coordinates, but she correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure correctly, but she should have identified the figure as a pentagon.
Clara drew the figure with the wrong coordinates, and she should have identified the figure as a pentagon.
Answer:
A. Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.Step-by-step explanation:
The figure drawn is attached.
This is a quadrilateral.
Clara did it correctly and named properly.
Correct option is A.
Answer:
a. u welcome
9
Step-by-step explanation:
WHOEVER HELPS AND GETA IT RIGHT I WILL GOVE BRAINLY!!!!!
Answer:
B. {x| -3 < x ≤ 2}
Step-by-step explanation:
The unshaded "O" on "-3" implies that -3 is not included. Which means -3 < x or x > -3.
The shaded "O" on "2" implies that 2 is included, therefore, x is either equal to 2 or less than 2 (x ≤ 2) since the line is towards our left side. This, we would have:
{x| -3 < x ≤ 2}