Answer:
66
Step-by-step explanation:
The Empirical Rule states that 68% of data is between 1 standard deviation in a dataset of normal distribution, 95% falls between 2 standard deviations, and 99.7% between 3.
The mean is 450, and one standard deviation is between 450 ± 50 = 400 and 500. Therefore, we can say that 68% of the data falls between 400 and 500 seconds.
The data includes 97 emergencies, so we just need to find 68% of that, which is 0.68*97 = 65.96 (rounding up to 66)
There are 66 emergencies are the response times expected between 400 seconds and 500 seconds.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
mean = 450 sec
standard deviation = 50 sec
Hence, We get;
450-50 =400
450+50=500
Now, In Between 400 sec and 500 sec means one deviation above and one deviation below the mean, and it is 68%.
68% = 0.68
Thus,
0.68 x 97 = 65.96 ≈ 66
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ2
Mark made a sandwich that was 5 inches long and 7 inches high. If he cuts
the sandwich in half, what would be the diagonal length of the sandwich?
Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
Learn more about length
https://brainly.com/question/28108430
#SPJ2
PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)
Answer:
The correct answer is - A.(112.86, 127.14)
Step-by-step explanation:
Given:
mean = $120
sd = $17.50
n = 40
Solution:
Confidence interval for a populationcan be express as mean +/- margin of error (E)
degree of freedom = n-1 = 40-1 = 39
confidence level (C) = 99% = 0.01
significance level = 1 - C = 1 - 0.01 = 0.99 = 99%
by margin of error E = t×sd/√n = 2.58*17.50/√40
= 2.58*2.76
= 7.138 or 7.14
then the lower limit of mean = mean - E = 120 - 7.14 = $112.86
and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14
what is 8^100 / 8^50 is 8^50
Answer:
5000
Step-by-step explanation:
what is the correct expansion of this expression (w-p)(3p+w)
Answer:
3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2
Step-by-step explanation:
Multiply every term of the first binomial by every term of the second binomial.
(w - p)(3p + w) = 3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2
determine the general term of this sequence -15:-11;-7;,,173
Answer:
UWUNOE BRO HUUZEM HIHUDHS
Step-by-step explanation:
Solve the triangle. Round to the nearest tenth when neccesary or to the nearest minute as appropriate.
Answer:
Here is the detailed answer below
Step-by-step explanation:
You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 170 men, and 70% own cats. You sample 190 women, and 40% own cats. Find the proportion of the pooled samples, ( p c pc ), as a decimal, rounded to two decimal places.
Answer:
The proportion of the pooled samples is 0.54.
Step-by-step explanation:
We have that:
70% of men own cats.
The proportion of men in the sample is:
[tex]\frac{170}{170+190} = 0.4722[/tex]
40% of women own cats.
The proportion of women in the sample is: 1 - 0.4722 = 0.5278
Proportion of the pooled samples
[tex]p = 0.7*0.4722 + 0.4*0.5278 = 0.54[/tex]
The proportion of the pooled samples is 0.54.
The measures of two angles of a triangle are 36 degree and 75 degree . The length of the shortest side of a triangle is 10 cm . The length of longest side of the triangle is:?
using the graph, determine the coordinates of the roots of the parabola
Answer:
(-8, 0) and (-2, 0)
Step-by-step explanation:
The root of a parabola are the places at which the parabola intersects the x-axis. As one can see, on the graph these points are the following: (-8, 0) and (-2, 0). Thus, the roots of the parabola are (-8, 0) and (-2, 0).
Answer:
-8 and -2
Step-by-step explanation:
Hello!
The roots of the parabola are the points where the graph intersects the x-axis. The x-axis is the equation y = 0.
There are two roots for this parabola, as the vertex is lower than y=0, and it opens up.
The two points of intersection are:
(-8,0)(-2,0)Therefore, the roots of the parabola are -8 and -2.
please help me someone! asap!
Answer:
please help me to solve these qustions
A metal rod will be cut into pieces that are each 1/56 meters long. The rod is 7/8
meters long how many pieces will be made from the rod? Write in simplest form.
7/8 = x/56
x = 7 x 7
so, 49/56 = rod
so, 49 pieces will be made
hope it helps :)
find the measure of the indicated angle to the nearest degree
[tex]\boxed{\sf sin\theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{38}{53}[/tex]
[tex]\\ \sf\longmapsto sin\theta=0.7[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{1.4}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=sin45°[/tex]
[tex]\\ \sf\longmapsto \theta=45°[/tex]
Geometry edulastic question
9514 1404 393
Answer:
n = 16
Step-by-step explanation:
Angle ABC is the sum of its parts.
∠ABC = ∠ABF +∠FBC
159° = (7n +20)° +(2n -5)°
159° = 9n° +15° . . . . . . . . . . . . . . collect terms
144° = 9n° . . . . . . . . . . subtract 15°
16° = n°
n = 16
There are 3200 students at Lake High School and 310 of these students are sophomores. If 38 of the sophomores are in favor of the school forming a crew team and 34 of the remaining students (not sophomores) are also in favor of forming a crew team, how many students are opposed to this idea?
Answer: 3128 students
Step-by-step explanation:
Total no of students in the school : 3200
No of sophomores in favor of the school forming a crew team : 38
No of the remaining students in favor of forming a crew team : 34
Total students in favor of forming a crew team = 38+34= 72
No of students against it : Total students - Students in favor
= 3200-72 = 3128 students
If mBAC = 90°, and mZDAC = 68°,
then mBAD = [?]
Answer:
22 degrees
Step-by-step explanation:
BAC=90 and DAC=68
DAC+BAD=BAC=90
so BAD=BAC=DAC
so BAD=90-68
= BAD=22 degrees
Answer:
The answer according to my calculations would be 22 degrees
Step-by-step explanation:
Fill in the box 22
The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
C OF
O {xx <4.5)
O {x| 4.5}
{x | x > 4.5)
O {x|x 2 4.5}
-5
0
1
2
3
4 5
Save and Exit
Next
SUOMI
Mark this and return
From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.
From the given number line, we have inequality as {x|x≤4.5}
Therefore, option B is the correct answer.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ7
find the missing side. Round it to the nearest tenth.
Answer:
37.3
Step-by-step explanation:
tan63 = opposite/adjacent = x/19
x = 19tan63 = 37.2895 = 37.3
Formula used: [tex]b=\sqrt{c^2-a^2}[/tex]
a = 19
b = x
c = 63
solution
b = [tex]\sqrt{c^2-a^2}[/tex]
b = [tex]\sqrt{63^2-19^2}[/tex]
b = [tex]\sqrt{3,969 -361}[/tex]
b = [tex]\sqrt{3,608}[/tex]
b = [tex]\sqrt{60.0666}[/tex]
rounded off: 60.0 or just 60
x = 60
Value ofc -x^2+3x+c=0
Answer:
they are the values of the 3 coefficients.
Step-by-step explanation:
Pls help area geometry! I’ve got 40 steps to do in a day :(
Answer:
26 cm^2
Step-by-step explanation:
(b*h)/2 is the area formula of a triangle (use it for your other questions!)
base here is the bottom-most side, the one that is 13 degrees. the side that is 4 cm is the height.
13*4 = 52 and 52/2 = 26
Area is 26
please help (picture) 25 points
Answer:
1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20
2) P = 4(5x-2) = 20x-8
A train is exactly 24km from Smalltown at 7:00p.m. It travels toward Smalltown at a constant rate of 90km per hour. At what time does the train reach Smalltown?
Answer:
7:16 P.M.
Step-by-step explanation:
24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.
- 5x + x - 6x²
6x3 - 4 - 5 + 6x3 - 3x3
Is this all one equation?
If it isn't, here:
-6x ^ 2 - 4x <-- Equation 1
18 - 9 + 18 - 9 = 18 <-- Equation 2
If it is:
-5x + x - 6x ^ 2 + 6 * 3 - 4 - 5 + 18 - 9
-4x - 6x ^ 2 + 18 - 9 + 18 - 9
-4x - 6x ^ 2 + 18
Then we order it
-6x ^ 2 - 4x + 18
PLZ HELP!!!
Find the range of the following piecewise function.
Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
PLEASEEEE HELLLLP MEEEE
Answer:
c. 20/21
Step-by-step explanation:
You just multiply straight
3×7 = 21
4×5 =20
21/20 <---- and it can't be reduced farther than this.
Answer:
C. ²¹⁄₂₀
Step-by-step explanation:
OKOKOK DON'T WORRY I'M HERE :)))
--
When multiplying fractions, you multiply the numerators together and then multiply the denominators together.
The numerators here are 3 and 7. Multiply those and you get 21 (7 x 3 = 21).
The denominators here are 4 and 5. Multiply those and you get 20 (4 x 5 = 20).
Then you put the newly-multiplied numerator over the newly-multiplied denominator and you get ²¹⁄₂₀.
Hope this helped!!
The F ratio increases as _________. Group of answer choices the variability between means increases relative to the variability within groups the variability within groups remains the same the total variability decreases the total variability increases the variability between means decreases relative to the variability within groups
Answer:
The F-Ratio increases as, the variability between means increases relative to the variability within groups
Step-by-step explanation:
The F-Ratio is given as follows;
[tex]F-Ratio = \dfrac{MS_{between}}{MS_{within}}[/tex]
Where;
[tex]MS_{between}[/tex] = The variance between groups
[tex]MS_{within}[/tex] = The variance within groups
Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups
Find EF
-----------------------------------------------
===========================================================
Work Shown:
(whole length)*(external part) = (whole length)*(external part)
(EG)*(FG) = (SG)*(HG)
(2x+4)*(4) = (x+5)*(5)
8x+16 = 5x+25
8x-5x = 25-16
3x = 9
x = 9/3
x = 3
Use this x value to find EF
EF = 2x
EF = 2*3
EF = 6
For more information, search out "secant secant formula". It's not a typo that I wrote "secant" twice.
I just need to know if my answer is correct or not please!
Answer:
Step-by-step explanation:
correct 100%
SEE QUESTION IN IMAGE
Answer:
B. 48°Step-by-step explanation:
∠OST = 90° as ST ⊥ OS (tangent is perpendicular to radius at same point)
m∠OSP = 1/2(180° - m∠SOP) = 90° - 96°/2 = 42° (sum of interior angles of the triangle SOP)
m∠PST = 90° - m∠OSP = 90° - 42° = 48° (angle addition postulate)
Correct choice is B
Square inscribed in a circle with radius 16.
I’ll mark u as a brainliest!!
Answer:
if your trying to find the area of the square it's 1024 if your trying to find the circumference of the circle it's 32π ( also known as 32 x pi)
The amount of grain that a shape will hold is called the surface area.
True
False
Answer:
false =D
Step-by-step explanation:
