Answer:
x=20
Step-by-step explanation:
When Mayerlin goes bowling, her scores are normally distributed with a mean of 175 and a standard deviation of 13. Using the empirical rule, what percentage of the games that Mayerlin bowls does she score between 162 and 188?
Answer:
68%
Step-by-step explanation:
The Empirical rule formula is given as:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Where
μ is the population mean
σ is the population standard deviation.
Step 1
Find the number of standard deviations from the mean
μ - xσ and μ + xσ
μ = 175
σ = 13
For 162
175 - 13x = 162
175 - 162 = 13x
13 = 13x
x = 13/13
x = 1
For 188
175 + 13x = 188
13x = 188 - 175
13x = 13
x = 13/13
x = 1
Hence, the data falls with 1 standard deviation of the mean
Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%
Answer:
The answer is 68%
Step-by-step explanation:
Um who else is in love with Kenma Kozume?
Answer:
YESSSSS I AM APART OF THE KENMA CULT
Step-by-step explanation:
Which choice is equivalent to the expression below?
8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.
Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]
which rounds to
2539.47
b.)
using the same equation we can write
[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]
not sure how to round this, so I'll leave that part up to you
What generalization can you make about these numbers?
2, 5, 11, 19, 29
A. They are all even.
B. They are all evenly divisible by 2.
C. They are all prime.
D. They are all odd.
Which exponential expressions are equivalent to the one below? Check all that apply.
Answer: The answer is B,C, and D
Step-by-step explanation:
2.5 dividido en 45.5
Answer:
18.2
Step-by-step explanation:
45.5/2.5 = 18.2
Complete the equation to show the relationship between the price and the weight w . P= _ w
Answer:
[tex]p = 0.3w[/tex]
Step-by-step explanation:
Given
[tex]w \to weight[/tex]
[tex]p \to price[/tex]
[tex](w,p) = (12,3.60)[/tex]
Required
The equation
First, we calculate the unit ratio (k)
This is calculated by dividing price by weight
[tex]k = p/w[/tex]
[tex]k = 3.60/12[/tex]
[tex]k = 0.3[/tex]
Recall that: [tex]k = p/w[/tex]
Make p the subject
[tex]p = kw[/tex]
Substitute [tex]k = 0.3[/tex]
[tex]p = 0.3w[/tex]
Find the expected value of the winnings
from a game that has the following
AWARDING BRAINLEST ANSWER!! PLZ I NEED HELP!!
payout probability distribution:
Payout ($)
0
5
8
10
15
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Answer:
The answer is 3.95
Step-by-step explanation:
0×.5 + 5×.2 + 8×.15 + 10×.1 + 15×.05 = ?
0 + 1 + 1.2 + 1 + .75 = 3.95
Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.
Answer:
90°, 78°, 12°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then
x + 7x - 6 = 90
8x - 6 = 90 ( add 6 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Then
second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 90°, 78°, 12°
Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house
Step-by-step explanation:
[tex] \frac{5.2}{100} \times 156000 \\ = 8112commission[/tex]
Does the orientation change in quadrilateral
ABCD to A'B'C'D'? when reflected?
A.)Yes, and it is reflected over the x-axis
B.) yes , and it is reflected over the y-axis
Answer:
b
Step-by-step explanation:
i have had this before
show work pls, WILL GIVE BRAINLIEST
(3/5)x+2/5=7
The cost (c) for g number of gelato ice cream is shown in the table. Complete the table and graph the proportional relationship between the number of gelatos purchased and the total cost.
g c
2 8
5
6
8
Find the value of x and each arc measure.
12 and 13 please
Answer:
See answers below;
Step-by-step explanation:
Find the diagram attached
12) Given the following
m<EF = 3x - 6
m<GF = 15x - 30
From the diagram, arcEf and arcGF are supplementary. Hence;
arcEF + arcGF = 180
3x - 6 + 15x - 30 = 180
18x - 36 = 180
18x = 180 + 36
18x = 216
x = 216/18
x = 12degrees
arcEF = 3x-6
arcEF = 3(12) - 6
arcEF = 36 - 6
arcEF = 30degrees
arcGF = 180 - aecEF
arcGF = 180 - 30
arcGF = 150degrees
Since arcDE = arcGF (vertical angles), hence arcDE = 150degrees
arcDFG = arcDG+arcGF
arcDFG = 30 + 150
arcDFG = 180degrees
13) arcMN = arcQP (vertical angles)
12x-5 = 6x+3
Collect like terms
12x - 6x = 3 + 5
6x = 8
x = 8/6
x = 1.3
arcMN =12x - 5
arcMN = 12(8/6) - 5
arcMN = 16 - 5
arcMN = 11degres
arcNP = 180 - arcMN
arcNP = 180 - 11
arcNP = 169degrees
Since arcNQP lies on straight line, hence arcNQP is 180degrees
In which direction does the left side of the graph of this function point?
f(x)= -x4- x2 + 4x - 2
Which of the following represents an equation? *
a. 3x + 13 - 5
b. 3 + 11 = 14
c. x + 14
d. x/5 - 2
It costs $8.31 to power one laptop computer for one year. How much does it cost to power 10 laptop computers for one week? Round to the nearest cent
Answer:
63
Step-by-step explanation:
There are 52.143 weeks in a year so 52.143/8.31=6.3
So 10 x 6.3= 63
what is the square root 55 explanation plzz
The principal, real, root of:
[tex]\sqrt[2]{55}[/tex] =7.41619849
Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)? x < –2.5 x > 2.5 (–2.5, [infinity]) (–[infinity], 2.5)
Answer:
x > -2.5 (-2.5, infinity)
Step-by-step explanation:
Given the inequality expression
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4
Expand
15.3 + 11.22x > -14.25 - 10.2x - 24
15.3 + 11.22x > -38.25 - 10.2x
Collect the like erms
11.22x + 10.2x > -38.25 - 15.3
21.42x > -53.55
x > -53.55/21.42
x > -2.5 (-2.5, infinity)
This gives the required solution
Answer:
(-2.5, infinity)
Step-by-step explanation:
correct on EDG
the cost of fun for kids magazine for x number of months is shown below
The cost (C) of another magazine, Family Fun, for x number of months is
given by C-1.99x.
The cost of another magazine, Kidz Comics, is $1.85 for each month. The
annual subscription includes a delivery charge of $10, while the annual
subscription for Fun for kids and Family Fun has no such extra charge
Which annual subscription costs the most?
Answer:
Kidz comic costs the most
Step-by-step explanation:
Given
Family Fun
[tex]C(x) = 1.99x[/tex]
Kidz Comics
[tex]m = 1.85[/tex] --- monthly rate
[tex]b = 10[/tex] --- delivery charge
Required
Which is more expensive
A linear function is represented as:
[tex]f(x) = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex] --- i.e. the base charge
So, for Kidz comic; We have:
[tex]f(x) = mx + b[/tex]
[tex]C(x) = 1.85x + 10[/tex]
To calculate the annual cost, we set x = 12; i.e. 12 months.
So, we have:
[tex]C(x) = 1.99x[/tex] ---- Family Fun
[tex]C(12) = 1.99 * 12[/tex]
[tex]C(12) = 23.88[/tex]
[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic
[tex]C(12) = 1.85*12 + 10[/tex]
[tex]C(12) = 22.2 + 10[/tex]
[tex]C(12) = 32.2[/tex]
By comparison
[tex]32.2 > 23.88[/tex]
Hence, Kidz comic is more expensive
please answer it would rly help me out
El espesor de un borde de un componente de una aeronave está distribuido de manera uniforme entre 0.05 y 1.05 milimetros.Obtenga la función de distribución acumulada del espesor del borde.Calcule la proporción de bordes cuyo espesor es mayor que 1.02 milimetros.Qué espesor estEa excedido por el 90% de los bordes.Calcule la media y la varianza del espesor.
Answer:
a) [tex]F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}[/tex]
b) 0.03
c) 0.15
d) La media es 0.55
La varianza es 8.[tex]\overline 3[/tex]
Step-by-step explanation:
La variación del espesor del componente de la aeronave = 0.05 a 1.05
El pdf de la variable 'X' se da de la siguiente manera;
[tex]f(x) = \dfrac{1}{1.05 - 0.05} = 1[/tex] por 0.05 < x < 1.05
a)
[tex]F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}[/tex]
b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;
P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03
P(X > 1.02) = 0.03
La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03
c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;
P(X > x) = 1 - F(x)
∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)
x - 0.05 = 1 - 0.9 = 0.1
x = 0.1 + 0.05 = 0.15
∴ El espesor excedido en el 90% de los bordes, x = 0.15
d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;
[tex]El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}[/tex]
[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}[/tex]
Para la distribución de espesor de borde dada, tenemos;
0.05 < x < 1.05
[tex]\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55[/tex]
El significado E(X) = 0.55
[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3[/tex]
La varianza, V(X) = 8.[tex]\overline 3[/tex]
What is the length of SA?
Answer: 3 ft
Step-by-step explanation:
what's the answer dhdhdizdjskxi
Answer:
138 ft for the area in the proposed design of the green section.
To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.
Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.
help please ill give you brainliest if it’s right
Answer:
[tex] \frac{1 }{3} \times \pi \times {4}^{2} \times 10 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {4}^{3} = 6 \times \pi \times {4}^{2} = 301.44[/tex]
please help me ill give you the crown thing if its right
Answer: tbh i think its the third one
Step-by-step explanation:
What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}
Answer:
15.866
Step-by-step explanation:
you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).
12+13+29+18+61+35+21 = 189189/7 = 27you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.
first, subtract the mean from all the data points
12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6then, square each calculated value from above
-15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36then, add the squared values together
225+196+4+81+1156+64+36 = 1762you would then divide 1762 by 7 (number of data values given orginally)
1762/7 = 251.714finally, take the square root of 251.714 to find the standard deviation
[tex]\sqrt{251.714} = 15.866[/tex]students will randomly select a tile from a bag containing one red, one yellow, one blue and one green tile. and then roll a cube with faces numbered 1 through 6.
what is the probability that a student
A. draws a red or yellow tile and
B. rolls a number between 1 and 3.
answer as a percentage, to the nearest percent.
thanks for any help available!
Answer: 25 PERCENT
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
There are 4 colors, probability of red or yellow:
P(red or yellow) = 2*1/4 = 1/2
And a cube faces 1 to 3:
P(1 to 3) = 3*1/6 = 1/2
Probability of the two events above:
1/2*1/2 = 1/4 = 25%
Which statements are true about the polynomial function?
f(x) = x3 + 5x² + 6x
Select each correct answer.
Answer: b is correct
Step-by-step explanation: