1. Kenny is drawing the outside lines
on a sports field that is 92 feet by
124 feet. What is the total length of
the line he will draw to surround the
field?
Although bats are not known for their eyesight, they are able to locate prey (mainly insects) by emitting high-pitched sounds and listening for echoes. A paper gave the following distances (in centimeters) at which a bat first detected a nearby insect. 24 41 25 68 53 83 43 63 56 34 45 A button hyperlink to the SALT program that reads: Use SALT. (a) Calculate the sample mean distance at which the bat first detects an insect. (Round your answer to four decimal places.) 48.6364 cm (b) Calculate the sample variance and standard deviation for this data set. (Round your answers to four decimal places.) Variance Standard deviation
Answer:
[tex]Mean = 48.6364[/tex]
[tex]s^2 = 331.8545[/tex] -- Sample Variance
[tex]s = 18.2169[/tex] --- Sample Standard Deviation
Step-by-step explanation:
Given
[tex]n = 11[/tex]
[tex]Data: 24, 41 ,25 ,68 ,53 ,83 ,43 ,63 ,56 ,34 ,45[/tex]
Solving (a): The sample mean
[tex]Mean = \frac{\sum x}{n}[/tex]
So:
[tex]Mean = \frac{24 +41 +25 +68 +53 +83 +43 +63 +56 +34+ 45}{11}[/tex]
[tex]Mean = \frac{535}{11}[/tex]
[tex]Mean = 48.6364[/tex]
Solving (b): Sample variance (s^2)
This is calculated as:
[tex]s^2 = \frac{\sum (x - \bar x_i)^2}{n - 1}[/tex]
Where:
[tex]\bar x = 48.6364[/tex]
So:
[tex]s^2 = \frac{(24 -48.6364)^2 +(41 -48.6364)^2 +......................+( 45 -48.6364)^2}{11-1}[/tex]
[tex]s^2 = \frac{3318.54545456}{10}[/tex]
[tex]s^2 = 331.8545[/tex]
Solving (c): Sample Standard Deviation (s)
This is calculated as:
[tex]s = \sqrt {s^2[/tex]
[tex]s = \sqrt{331.8545[/tex]
[tex]s = 18.2169[/tex]
In January, the depth of a lake was 902 feet. In August, the depth of the lake was 721.6 feet.
What is the percentage decrease of the depth of the lake from January to August?
A.
80%
B. 25%
C. 20%
D. 24%
Please help1
An observer is watching a bird from the ground as shown. What is the bird's distance from the ground, in miles, as shown in the diagram? Round to the nearest tenth.
Answer:
? = 1.5 miles
Step-by-step explanation:
?^2 + 1.2^2 = 1.9^2
? = 1.473
The distance of bird from the ground is 1.47 miles.
What is a right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
In the given diagram,
The distance between observer and bird = 1.9 miles,
And the distance from observer to the ground = 1.2 miles.
Let the distance of bird from ground is h miles.
To find the distance of bird from ground,
Use Pythagoreans theorem,
(1.9)² = (1.2)² + h²
3.61 = 1.44 + h²
3.61 - 1.44 = h²
2.17 = h²
h = 1.473 miles
The distance of bird from the ground is 1.47 miles.
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Plz Work out -1x(6x-8)=
can you guys explain this
Answer:
basicly the -6 is the x and the 5 is the y
but the h is 7.8
Step-by-step explanation:
Which ratio is greater? 3 : 4 or 5:6
Answer:
5:6 is greater than 3:4.
Simplify 8+5h-2+h-10+3h
Answer:
-4+7h
Step-by-step explanation:
Answer:
9h-4
Step-by-step explanation:
8+5h-2+h-10+3h
-4+5h+h+3h
can somebody help me?
Answer:
Yup ur answer is 20.5 ounces
Step-by-step explanation:
since there's an additional 2.25 ounces every second I multiplied 2.25 by 4
2.25•4=9
9 ounces added to the beginning 11.5 ounces equals 20.5 ounces that are now in the bowl
hope this helps <3
round the number 24.9652 to 1 decimal place
Answer: 25.0
Step-by-step explanation:
25
Answer:
25
Step-by-step explanation:
0.06 rounds up into the .9 which is now a 1
Can anyone help me I really need it
Why is m..?
somebody help please
Answer:
The last one
Step-by-step explanation:
The fast reason why - all the other scenarios require 3 lines: 2 lines both parallel to a 3rd, or 2 lines cut by a transversal line, etc. The diagram only shows 2 lines. So the right answer must be the one that doesn't require a third line to be present. :)
The longer answer why - See how angles 2 & 3 have the same style of arc? That is telling you they are of equal measure. So together they are a straight angle, 180°. And they are equal to each other, so 2x = 180° --> each one must be a 90° angle.
Wherever two lines cross, if one angle is a right angle, all 4 angles at the intersection also must be right angles, so everything is perpendicular.
The price of a 9-minute phone call is $1.35. What is the price of an 11-minute phone call?
Answer:
$1.65
Step-by-step explanation:
[tex]\frac{1.35}{9}[/tex] = $0.15 per 1 min
11 x $0.15 = $1.65
Answer:
Its .15$ for 1 minute so for 11 minute it is 1.65$
Step-by-step explanation:
1.35/9=.15
.15*11=1.65
Hope this helps :)
Fran can type 297 words in 5.5 minutes. What is her typing speed in words per minute?
Answer:
54 word per minute
Step-by-step explanation:
N - 5 x4 pls hellpppo
Answer:
n-20 is your answer ☺️☺️☺️
Answer:
N-20 is the answer if your trying to simplify it, if not comment on this answer and ill try to help
Step-by-step explanation:
Omar Has a gift card for 25$ at a clothing store. He wants to buy socks that cost 4$ per pair. He also has a coupon for 5$ off his entire purchase. Omar wants to know how many pairs of socks he can buy.
Let p be the number of socks Omar buys. Write an inequality that represents the situation.
Answer:
he can buy 7 pairs of socks
Step-by-step explanation:
4 times 7 = 28
28 - 5 (coupon) = $23
Josie does 9 minutes
of stretches before she runs. She runs for
20 minutes. Then she does 7 minutes of cool
down exercises. The clock shows the end time 3:45 of
her workout. At what time does Josie start her
workout? Describe how you found the time.
Answer: Josie starts working out at 3:09
Step-by-step explanation: I found this answer by adding the workout time together.
Answer:
3:09
Step-by-step explanation:
First add the total time of the workout
20+9+7=36
then subtract the end time 3:45 with the workout time:
3:45-00:36=3:09
Check work:
3:09+00:36=3:45
ANSWER CORRECTLY WITH REASONING FOR BRAINLIEST
Jaya wants to find out what type of art her fellow students enjoy the most. She asks her classmates: "What is your favorite type of art?"
This question is biased.
True
False
Answer:false
Step-by-step explanation:because jaya is not giving her opinion she is asking for others opinions.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer: The answer is ONE Solution
Step-by-step explanation:
A system of equations have no solution when their slopes are the same but they have different y-intercepts. When graphed, the lines cannot intersect for there to be a solution. Looking at both equations, they have different slopes and different y intercepts so you can rule "NO solution" out.
Secondly a system of equations have infinitely many solution if they both share the same slopes and y-intercepts.
Looking at both lines, they have different slopes and different y-intercepts, so you can also rule that out.
A system of equations have one solution if their slopes are different and y intercepts are also different. Looking at the two lines, we can notice that the slope and y-intercepts are all different.
Pls help extra points and mark brainlist
Answer:
B.
Hope that helps!
Step-by-step explanation:
Answer:
The second one.
Step-by-step explanation:
Because it is has an equal sign, that you can solve x for.
Hope this helps! Have a good rest of you day!
hii they asked this again but in cm
Answer:
9 + 9 + 3 + 3 = 24
P = 24 cm
9 x 3 = 27
A = 27 square cm
(I think those are the answers, hope it helps <3 )
At Kirby Middle School, some students were surveyed to see which social media app they used the most. The results are shown below.
App
Number of Students
Face
8
Snap
22
Insta
20
Solve and explain how to calculate what percent of students used Snap the most?
In your explanation, be sure to:
Explain how you would set up and solve the problem (scale factor or cross multiply/divide).
Identify the part, the whole, and the percent in your explanation.
Use precise mathematical language and detail in your explanation.
Answer:
She is using fame and GO TO HELL.
Step-by-step explanation:
Solve the system using substitution.
X + 2y = -6
6x + 2y = 4
([?], [ ]
Answer:
Step-by-step explanation:
Rearrange x+2y=-6 to solve for x:
x = -2y-6
substitute -2y-6 for x into the second equation:
6x + 2y = 4
6(-2y-6) + 2y = 4
-12y-36 + 2y = 4
-10y = 40
y = -4
x = -2y-6 = 2
(x,y) = (2,-4)
The solution for the system of equations is (2,-4).
The given system of equations are x + 2y = -6-----(1) and 6x + 2y = 4-----(2).
How do solve systems of equations using the substitution method?To solve a system of equations using substitution:
Step 1: Isolate one of the two variables in one of the equations.Step 2: Substitute the expression that is equal to the isolated variable from Step 1 into the other equation. This should result in a linear equation with only one variable.Step 3: Solve the linear equation for the remaining variable.Step 4: Use the solution of Step 3 to calculate the value of the other variable in the system by using one of the original equations.Now, rearrange x+2y=-6 to solve for x:
So, x = -2y-6
Substitute -2y-6 for x into the second equation 6x + 2y = 4.
That is, 6(-2y-6) + 2y = 4
⇒-12y-36 + 2y = 4
⇒-10y = 40
⇒y = -4
By substituting y = -4 in x = -2y-6 we get x=2.
Therefore, the solution for the system of equations is (2,-4).
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Helpppp please !!! Due in an hour
An orange juice container starts with 6 7/8 cups of juice. How much orange juice is left after three 1 1 /4-cup servings are poured? WHO EVER HELPS WILL GET BRAINLIEST.
Answer:
answer is 3 1/8
Step-by-step explanation:
In the picture is what my teacher did.
Select the equation that represents the question.
0.8% of 150 is what number?
O 0.008 = a × 150
O a = 0.008 X 150
O 150 = a × 0.008
13
O 0.008 = 150 x a
Solve the equation.
a
Answer:
[tex]a = 0.008 * 150[/tex]
Step-by-step explanation:
Given
[tex]0.8\% * 150[/tex]
Required
Represent as an equation
Let a be the result of the equation.
So, we have:
[tex]0.8\% * 150 = a[/tex]
Express 0.8% as decimal
[tex]0.008 * 150 = a[/tex]
Rewrite
[tex]a = 0.008 * 150[/tex]
Solve the equation 3^x+3=5
Carmel rode his horse 1,600 meters east from his house. Then he turned north and rode 1,200 meters, as shown in the diagram below. How far away, in meters, is Carmel from his house?
Answer:
2,800
Step-by-step explanation:
Just add 1,600 and 1,200 I think. I could be wrong good luck :)
The triangles shown are similar. Which side of triangle JGH corresponds to side PM of triangle PMO?
Triangle G H J. Side G H is 9 centimeters, H J is 12 centimeters, J G is 6 centimeters. Triangle P M O. Side P M is 3 centimeters, M O is 4.5 centimeters, O P is 6 centimeters.
GH
JG
HJ
OP
Answer:
The corresponding side is JG
Step-by-step explanation:
Given
JGH similar to PMO
Required
Determine the similar side to PM
To do this, we follow the naming convention of both triangle name, since there is no attachment to support the given parameters.
So:
By comparison: The corresponding side is JG
Answer:
B aka JG
Step-by-step explanation:
right on edge
To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, What is the slope of the line represented by 2x + 5y = 10?
Answer: -2/5
Step-by-step explanation:
To find the slope, we set the function use y = mx + b forms.
2x + 5y = 10
5y = -2x + 10 Minus 2x in both side
y = -2/5x + 10/5 Divide 5 from both side
y = -2/5x + 2
In the y = mx + b, the m before variable x is always the slope, so -2/5 is the slope for 2x + 5y = 10.