Answer:
Step-by-step explanation:
z(lower) = (15-15)/4 = 0
z(upper) = (19-15)/4= 1
z at 0 = .5
z at 1 = 0.841344746
(look these up in a Z table)
probability "between" = 0.841344746 - .5 = 0.3841344746
0.384 is the probability that a fish is caught in spring run between 15cm and 19cm
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that fish commission states that the mean length of all fish in spring run is mean =15cm
the standard deviation of variance=4cm,
We need to find the probability that a fish is caught in spring run :between 15cm and 19cm
The z score formula is z=x-µ/σ
z(lower) = (15-15)/4 = 0
z(upper) = (19-15)/4= 1
From the table of z values we get
z at 0 is 0.5
z at 1 is 0.841344746
probability between 0.841344746 -0 .5 is 0.3841344746
Hence, 0.384 is the probability that a fish is caught in spring run between 15cm and 19cm
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Use a substitution strategy to solve the following problem.
Two isosceles triangles have the same base length. The equal sides of one of the triangles
are 3 times as long as the equal sides of the other. Find the lengths of the sides of the triangles when
their perimeters are 34 cm and 82 cm.
Answer:
The length of the equal sides of the isosceles triangle with a perimeter of 34 cm perimeter is 12 cm
The length of the equal sides of the isosceles triangle with a perimeter of 82 cm perimeter is 36 cm
The base length of both triangles is 10 cm
Step-by-step explanation:
The given parameters are;
The base length of the triangles are equal
The base length of one of the triangle = The base length of the other triangle
The equal sides of one of the triangles = 3 × The length of the equal sides of the other
The perimeter of the triangles are; 34 cm and 82 cm
Let 'b' represent the base length of each triangle, let 'a' represent the length of an equal side of the smaller triangle with a perimeter of 34 cm and let 'c' represent the length of an equal side of the larger triangle with a perimeter of 82 cm
For the smaller triangle, we have;
b + 2·a = 34..(1)
For the other triangle;
b + 2·c = 82...(2)
Given that the side length of the larger triangle are larger than those of the smaller triangle, and that the side length of the larger triangle is 3 times the side length of the smaller triangle, we get;
c = 3·a
By the substitution method, from equation (2) we get;
b + 2·c = b + 2 × 3·a = b + 6·a = 82
∴ b + 6·a = 82...(3)
Subtracting equation (1) from equation (3) gives;
b + 6·a - (b + 2·a) = 82 - 34 = 48
b - b + 6·a - 2·a = 48
4·a = 48
a = 48/4 = 12
The length of the equal sides of the 34 cm perimeter (smaller) isosceles triangle, a = 12 cm
From c = 3·a, and a = 12, we get;
c = 3 × 12 = 36
The length of the equal sides of the 82 cm perimeter (larger) isosceles triangle, c = 36 cm
From equation (1), we get;
b + 2·a = 34
∴ b + 2 × 12 = 34
b = 34 - 2 × 12 = 10
The base length of both triangles, b = 10 cm
If U={1,2,3,.............,10} A={2,4,6,8,10} and B= {1,3,5,7,9); then
find(A-B)?
Answer:
{2, 4, 6, 8,10}
Step-by-step explanation:
GIven U={1,2,3,.............,10} A={2,4,6,8,10} and B= {1,3,5,7,9);
Required
A-B = AnB'
B' = {2, 4, 6, 8,10}
AnB' are elements common to both A and B'.Hence;
AnB' = A- B = {2, 4, 6, 8,10}
7.5 as an improper fraction in its simplest form
Answer:
7.5 as an improper fraction in its simplest form would be 15/2
Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
well, let's keep in mind that the SAS postulate, so if one Side and the Angle next to it and the following Side after the angle are equal on both triangles, both triangles are congruent. Now, we have the angle 30° with sides and 9 and 2x and sides 9 and x + 4, well, the 9's are equal, dohh, you know, if only the 2x = x + 4, we'd be golden
[tex]2x = x + 4\implies 2x - x = 4\implies \boxed{x = 4}[/tex]
Find the area of this prism.
John turned in the following solution to an inequality and his teacher marked it wrong. What mistake did John make?
A. incorrectly reversed the inequality symbol
B. Failure to combine like terms
C. Incorrect division
D. Incorrect addition
Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of m and n.
Answer:
m = 3 , n = 4
Step-by-step explanation:
Using Section Formula.
[tex]If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}[/tex]
[tex]Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3[/tex]
[tex]y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4[/tex]
How much is -1/4 is 1 1/3?
Answer:
4 option
Step-by-step explanation:
don't mind the purple dot
Answer:
option A
Step-by-step explanation:
22 : 15 + 10hours = 8 : 15
8 : 15 + 35 minutes = 8 : 50
Therefore the difference = 10 hours 35 minutes
Write 100 + 2 + 0.09 in standard form
In the figure, .
∠AEB and ∠CED are congruent
.
∠AEC and ∠
are congruent by the Vertical Angles Theorem.
Answer:
∠AEC ≅ ∠BED by vertical angles theorem
Answer:
Answer:
∠AEC ≅ ∠BED by vertical angles theorem
Step-by-step explanation:
A 6) Set both given equations equal to zero, then combine them into one standard form
equation. Simplify if possible.
7x + 3 = 5 and y-1 = 6
Answer:
The standard equation is 7x + y = 9
Step-by-step explanation:
Equations given are:
7x + 3 = 5 and y - 1 = 6
Set both given equations equal to zero, then combine them into one standard form equation
Set the equations to zero by moving the constant from R.H.S to L.H.S
7x + 3 - 5 = 0
7x - 2 = 0 ---- eq 1
y - 1 = 6
y - 1 - 6 = 0
y - 7 = 0 ----- eq 2
We have to combine eq 1 and eq 2
7x - 2 + y - 7 = 0
7x + y - 9 = 0
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Thus the standard equation is:
7x + y - 9 = 0
7x + y = 9
Thus the standard equation is 7x + y = 9
Thomas rents a car for his vaccation the milliage included with the 54 miles forer every mile he drives over 54 miles he needs to pay 5 integer 4 by 5 dollar if he drives 69 miles how much extra does he needed to pay
Answer:
$27
Step-by-step explanation:
Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?
Total mileage included with the rental = 54 miles
Additional cost per mile after 54 miles = $1 4/5
Total miles Thomas drives = 69 miles
Extra miles Thomas drives = 69 miles - 54 miles
= 15 miles
how much extra does he need to pay?
Extra cost Thomas needs to pay = Additional cost per mile after 54 miles * Extra miles Thomas drives
= $1 4/5 * 15 miles
= 9/5 * 15
= (9 * 15) / 5
= 135/5
= 27
Extra cost Thomas needs to pay = $27
ReeeeeeeeeeeereEeeeeereeeee
Answer:
22
Step-by-step explanation:
B racket
I ndices
D division
M multiplication
A addition
Subtraction
Work out answer using the BIDMAS order
In a school 640 teachers like either milk or curd or both . The ratio of number of twacher who like milk to the number pf teachers who like curd is 3:2 and 160 teachers like both milk and curd . Find: How many teachers like milk?& How many teachers like curd only.
3+2=5
Milk =3/5×640 = 384
Curd 2/5×640 = 256
AC = 16, AB = x + 1, and BC = x + 7. What is the measure of the length of AB? HELP
Answer:
5
Step-by-step explanation:
AC=AB+BC
so 16=x+1+x+7
which simplifies to 16=2x+8
subtract eight from both sides to get 8=2x
then divide by 2 to get that x=4
AB=x+1, which substitutes into 4+1=5
someone help me with this
Answer:
stars: triangles
3 : 1
Step-by-step explanation:
There are 3 starts and 1 triangle
stars: triangles
3 : 1
Answer:
3:1
Step-by-step explanation:
3 Stars and 1 Triangle
An angle is bisected, forming two new angels. If the original angle had a measure of 14 degree, what is the measure of each new angle
Answer:
The measure of each angle will be 7 degrees. It is because a bisector divides an angle in two equal halves. 14 / 2 = 7
Proportions in similar triangles
Answer:
x = 4
Step-by-step explanation:
Given that DE is parallel to AC then DE divides the sides proportionally, so
[tex]\frac{BD}{DA}[/tex] = [tex]\frac{BE}{EC}[/tex] , substitute values
[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(x + 2) ← distribute
3x = 2x + 4 ( subtract 2x from both sides )
x = 4
PLEASE HELP WILL MARK BRAINLIEST
Find the area of the circle shown Use pi=3.14
Answer:
50.24 sq cm
Step-by-step explanation:
radius is 4 (half of 8)
A=(3.14)4^2
A=50.24
Answer:
B) 50.24 sq.cm
Step-by-step explanation:
equation for area of circle is [tex]\pi r^{2}[/tex]
radius is half of diameter
radius = 4 cm
[tex]\pi (4)^2[/tex] = 50.24 sq.cm
Sally plots (−4,π)on the polar plane.
How does she proceed?
Drag a phrase to each box to correctly complete the statements.
Solution :
As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis. The first block then should be negative x-axis if r is positive and in the positive x-axis if r is negative.
My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence, which would mean an interference from the above statements, from the drag phase you have given the interference would be positive x-axis.
Hannah lost four points on a test and earned four points on an extra credit question what does the sum of 0 mean in the description of this situation?
Answer:
Is that it's not about the answers and the questions
HELP
Find the circumference of this circle
using 3 for T.
C [?]
Answer:
3
Step-by-step explanation:
3
Please help me figure out how to solve functions
Answer:
f(6) = 24
Step-by-step explanation:
To evaluate f(6) substitute x = 6 into f(x) , that is
f(6) = 6² - 2(6) = 36 - 12 = 24
1) The population of Leafy Lake starts at 3,000 and grows by 25% every year. What will the population be in 6 years?
how do I solve it
Answer:
Step-by-step explanation:
Rate of increase = r = 25%
n = number of years = 6
P = Current population = 3000
Population after n years = [tex]P*(1 + \frac{r}{100})^{n}[/tex]
[tex]= 3000 * (1 +0.25)^{6}\\\\= 3000 * (1.25)^{6}\\\\= 3000 * 3.8\\\\= 11400=[/tex]
Find f(x+2) of the function f(x)= 4x^2+2x-4 HELP ASAP PLEASE WORTH 40 POINTS
Answer:
Given
f(x)= 4x²+2x-4To find f(x + 2) substitute x with x + 2 in the given function:
f(x+2)= 4(x + 2)² + 2(x + 2) - 4
= 4(x² + 4x + 4) + 2x + 4 - 4
= 4x² + 16x + 16 + 2x
= 4x² + 18x + 16
f(x+2)
4(x+2)²+2(x+2)-44(x²+4x+4)+2x-4-44x²+16x+16+2x4x²+18x+16Find the set of the possible values of p for which the equation 3x² + px + 3 = 0 has no real roots.
*Using graphical method or comparing the signs.
Answer:
[tex]delta = {b}^{2} - 4ac = {p}^{2} - 4 \times 3 \times 3 = {p}^{2} - 36[/tex]
The equation has no real roots if delta <0
that is -6<p<6
2 Kenedi has a piece of ribbon that measures
24 inches long. She cuts the ribbon into
15 equal pieces to attach to her dance
costume. Kenedi uses the expression shown to
calculate the length of each piece of ribbon she
uses on her costume.
241 - 15
Which of the following expressions CANNOT be
used to determine the length of each piece of
ribbon?
15
F99=
G (242) (15)
H7+15
J 241-15
Answer:
The length of each ribbon is 1.6 inches
Step-by-step explanation:
From the question, we are told that:
Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume
Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:
24 inches ÷ 15 pieces
= 24 ÷ 15
= 1.6 inches
Therefore, the length of each ribbon is 1.6 inches
Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?