Answer:
27.09% of the panthers weigh less than 76 pounds
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 82 pounds and a standard deviation of 9.8 pounds.
This means that [tex]\mu = 82, \sigma = 9.8[/tex]
What percent of the panthers weigh less than 76 pounds?
The proportion is the pvalue of Z when X = 76. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 82}{9.8}[/tex]
[tex]Z = -0.61[/tex]
[tex]Z = -0.61[/tex] has a pvalue of 0.2709
0.2709*100% = 27.09%
27.09% of the panthers weigh less than 76 pounds
In the figure below,
Answer:
m<GLK = 58°
Step-by-step explanation:
Given:
m<GLH = 2x + 6
m<HLJ = x
Required:
m<GLK
Solution:
First, find the value of x
m<GLH + m<HLJ = 180° => Linear Pair Theorem
Substitute
2x + 6 + x = 180
Add like terms
3x + 6 = 180
3x + 6 - 6 = 180 - 6
3x = 174
3x/3 = 174/3
x = 58
m<HLJ = x = 58°
Thus, m<HLJ and m<GLK are Vertical angles.
Therefore:
m<GLK = m<HLJ (Vertical angles theorem)
m<GLK = 58° (Substitution)
Quadratic formula 3x^2 - 2x + 5 = 0
Step-by-step explanation:
The given quadratic equation is :
[tex]3x^2 - 2x + 5 = 0[/tex]
We need to solve the given equation. The formula used to solve a quadratic equation is :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a = 3, b = -2 and c = 5
So,
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(5)}}{2(3)}\\\\x=0.333,4.667[/tex]
Hence, this is the required solution.
The children went to the library. They wanted to read books
Answer:
Imma guess that it's a youth education program and library some teacher is planning for children to read for knowledge and excitement? :3
Step-by-step explanation:
:3
combine like terms -2m+16-13m
Answer:
-15m + 16
Step-by-step explanation:
Can someone please help.
Mall produces strawberry jam for several food shops. She uses big jars to deliver the jam to the shops. One time she distributed 80 liters of jam equally among the jars. She decided to save 4 jars and to distribute jam from these jars equally among the other jars. She realized that she had added exactly of the previous amount to each of the jars. How many jars did she prepare at the start?
Answer:
8 jarsStep-by-step explanation:
Let the number of jars is x.
80 liters distributed, each jar has:
80/xRedistribution with 4 less jars, each jar now has:
80/(x - 4)Each jar has now twice the amount:
80/x*2 = 80/(x - 4)2/x = 1/(x - 4)2(x - 4) = x2x - 8 = xx = 8She prepared 8 jars at the start
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
Answer:
This is a rectangle
Step-by-step explanation:
2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles
Help please asap. Also please teach how to do this type of problem
Answer:
[tex]64m^{2}[/tex]
Step-by-step explanation:
TSA (total surface area) of cuboid= 2(lw+wh+hl)and the problem said one small cube with 1m width that means it also has 1m length and height
so lets count the cubes for the height, length and width
Height contains 4 cubes (4m)Length contains 4 cubes also (4m)Width contains 2 cubes (2m)Now lets put the givens we got from the figure in the formula of TSA
2*(4*2+4*2+4*4)=64
PLSS I need help please
Answer:
The Last One
Step-by-step explanation:
Hope This Helps ; )
Answer:
2/6
Step-by-step explanation:
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes does it take to fill the prism
Answer:
Step-by-step explanation:
The volume of a cube is
V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so
n(1/2)^3=10, where n will be the number of these small cubes
n(1/8)=10 upon multiplying each side by 8
n=80
So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3
Solve for the unknown in the following diagram. Round the answer to two decimal places.
degrees
Answer:
x° ≈ 71.69°
Step-by-step explanation:
The political opinion organization hired 100 new employees, which increases its staff by 40%. What was the original number of employees?
Answer:
40(?)
I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation
HURRY AND ANDWER ASAP PLZ answer with work plz and thanks
A cap and a shirt together costs 22.52. If the shirt costs three times as much as the cap how much did each item cost?
A local animal shelter has 27 dogs and 23 cats. What percent of the
animals are dogs?
Answer:
54%
Step-by-step explanation:
total animals=27+23=50
[tex]dogs=\frac{27}{50} \times100=54[/tex]
Is this correct if not can someone give me the answer I will mark u brilliant
Answer: the first one is 735.75
the second one is 69
Step-by-step explanation:
THEY ARE BOTH CORRECT!
Answer: They are both correct. Good job! :)
Step-by-step explanation:
Make a the subject of formula b=a^2/(a+c)^2
Answer:
[tex] \orange { \bold{a = \frac{c \sqrt{b} }{(1 - \sqrt{b}) } }}[/tex]
Step-by-step explanation:
[tex]b = \frac{ {a}^{2} }{ {(a + c)}^{2} } \\ \\ b = \bigg(\frac{ {a} }{ {a + c}} \bigg)^{2} \\ \\ \sqrt{b} = \frac{a}{a + c} \\ \\ (a + c) \sqrt{b} = a \\ \\ a \sqrt{b} + c \sqrt{b} = a \\ \\ a \sqrt{b} - a = - c \sqrt{b} \\ \\ a( \sqrt{b} - 1) = - c \sqrt{b} \\ \\ a = \frac{ - c \sqrt{b} }{( \sqrt{b} - 1)} \\ \\ \purple{ \bold{a = \frac{c \sqrt{b} }{(1 - \sqrt{b}) } }}[/tex]
[tex]3= \frac{f}{6} -1[/tex]
Answer:
f=24
Step-by-step explanation:
3 = f/6 - 1
Multiply both sides of the equation by 6.
18=f−6
Swap sides so that all variable terms are on the left hand side.
f−6=18
Add 6 to both sides.
f=18+6
Add 18 and 6 to get 24.
f=24
If Sam's present age is x years, what will be his age in years after 20 years from now?
31 x + 20
x - 20
20x
x/20
5.) Find the product of:
39.06 x 0.3
Answer:
11.718
Step-by-step explanation:
Answer given above. Pls check
Answer:
11.718
Step-by-step explanation:
I don't know, figure it out yourself.
44 and 45 are alternate interior
angles. Find the measure of 44.
{
115/65°
43/44
64 = [?]
45/46
{
47/48
Answer:
∠4= 115°
Step-by-step explanation:
∠4= 115° (vertically opposite angles are equal, parallel lines)
help me pleasee :) u get 15 points lol
Answer:
B
Step-by-step explanation:
Hey There!
To solve this problem we are going to use distributive property
We are going to distribute the -8 to what's inside of the parenthesis (10x and -3)
10xx-8=-80x
-8x-3=24
were left with
-80x+24
hope this helps!
-x+3y=-1 x-3y=1
one solution, no solution, or infinitely many solutions
PLEASE HELP
Answer:
infinitely many solutions
Step-by-step explanation:
-x + 3y= -1
x - 3y =1
0=0
identity solution
I need help please help
Answer:
about 407 sq cm
Step-by-step explanation:
area of semi-circle: π10²/2 = 50π or 157
area of triangle: (20)(25)/2 = 250
decide which of the following sets of points.
Answer:
Im pretty sure that the answer would be choice f.
Step-by-step explanation:
(a) {T, P, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(b) {A, B, D, M}: Coplanar. These points lie on the same plane since they are contained within the drawing.
(c) {B, K, C}: Collinear. These points lie on the same line within the drawing.
(d) {A, K, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(e) {M, K, T}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(f) {A, Q, P, D}: Coplanar. These points lie on the same plane since they are contained within the drawing.
EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
To know more about "Coplanar." here
https://brainly.com/question/24430176
#SPJ2
A rectangular garden is 20 ft longer than it is wide. Its area is 800 ft 2 . What are its dimensions?
Jasmine began completing the table below to represent a particular linear function.
a. Complete the table and find the rate of change for the function
Rate of change:
b. Create a graph and write an equation to represent this function
Answer:
Step-by-step explanation:
Rate of change = Slope of line
Use the coordinates of two points to find the slope of the line.
Slope of line through (2,5) and (0,1) = (5-1)/(2-0) = 2
(0,1) is a point on the line, so the y-intercept is 1.
Slope-intercept equation of the line: y = 2x+1
Use the equation to fill in the rest of the table:
x = -2, y = -3
x = ½, y = 2
x = 1, y = 3
x = 3, y = 7
Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure out how to solve problems of this caliber.
Answer:
Step-by-step explanation:
convert mixed fractions to improper fractions
rule=a b/c=(ac+b)/c
(1 1/3)/(1 3/4)
(4/3)/(7/4)
rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)
(4/3)(4/7) then you can multiply the numerators and denominators
16/21
Which group contains triangles that are similar. im having a hard time
Answer:
1st group contains triangles that are similar
Step-by-step explanation:
since its opposite corresponding angle are equal.
Which arrangement of blocks has the least surface area?
Answer:
8 cubes separated
Step-by-step explanation:
Factorise the following.
Answer:
Q.1 14x³ by 42x²
= 14x³/42x²
= x/3
Q.2 11xy²z³ by 55xyz
= 11xy²z³/55xyz
= 1/5yz²
(-3, 3), (1, 1), (0 -2), (1, -4), (5, -1) domain and range
is it a function
