Answer:
0.8536
0.29933
Step-by-step explanation:
Given :
Mean amount spent, μ = $230
Standard deviation, σ = $19
1.)
Probability of spending atleast $210
P(x ≥ 210)
The Zscore = (x - μ) / σ = (210 - 230) / 19 = - 1.052
P(Z ≥ -1.052) = 1 - P(Z ≤ - 1.052) = 1 - 0.1464 = 0.8536
2.)
Probability that between $240 and $300 is spent:
P(x < $240) = Zscore = (240 - 230) / 19 = 0.526
P(Z < 0.526) = 0.70056
P(x < 300) = Zscore = (300 - 230) / 19 = 3.684
P(Z < 3.684) = 0.99989
P(Z < 3.684) - P(Z < 0.526)
0.99989-0.70056 = 0.29933
Find the measure of ∠AED for m∠BEC = 118
Answer: 118°
Step-by-step explanation:
The first and last term of an A. P are 1 and 121 respectively. Find the number of terms in the A.P and the common difference between them if the sum of the term is 1281
Answer:
No.of terms=21
Common difference=6
What is the order of rotational symmetry of a regular pentagon?
Answer:
yeet
Step-by-step explanation:
urmom
A savings account for a car is set up with an initial balance of $1500, and 250 is added every month (no other
transactions occur on the account). Write the expression: Write the equation equal to the $5,000 car goal: M=
1. How long will it take:
Answer:
ok so first we subtract 1500
5000-1500=3500
3500 divided by 250= 14
So it will take 14 months
Hope This Helps!!!
Twice a number minus 25 is less than 89. Translate it into an inequality and find the solution
Answer:
2x-25<89
x<57
Step-by-step explanation:
2x-25<89
2x<89+25
2x<114
Divide by 2...
x<57
Hope this helped! Please mark brainliest :)
(17)^ 3 *(289)^ -6 =(17)^ 2m - 1
Answer:
m = -4
Step-by-step explanation:
The given expression is :
[tex](17)^{3}\cdot(289)^{-6}=(17)^{2m-1}[/tex]
We need to find the value of m
We know that, 17² = 289
So,
[tex](17)^{3}\cdot(17^2)^{-6}=(17)^{2m-1}\\\\(17)^{3}\cdot(17)^{-12}=(17)^{2m-1}[/tex]
Also,[tex]x^ax^b=x^{a+b}[/tex]
So,
[tex]17^{3-12}=17^{2m-1}\\\\17^{-9}=17^{2m-1}\\\\\implies -9=2m-1\\\\-9+1=2m\\\\-8=2m\\\\m=-4[/tex]
So, the value of m is equal to -4.
Un par de zapatos más dos pantalones valen $ 70.000 en una tienda. Se ofrece una oferta, al comprar dos o más pares de zapatos del mismo precio se descuenta un 10% en cada par y por tres o más pantalones del mismo precio un 15% en cada pantalón. Juan paga por tres pantalones $ 38.250 y luego, compra dos pares de zapatos. ¿Cuánto pagó Juan por los dos pares de zapatos?
Answer:
49.5 $
Step-by-step explanation:
Comencemos por lo siguiente:
Si llamamos x al precio del par de zapatos y "y" al precio de cada pantalón, entonces la tienda ofrece:
un par de zapatos x más dos pantalones 2*y en 70.000 $ (deben ser 70 $ pero esa cifra no importa a los fines de resolver el problema, habrá solo que hacer el ajuste correspondiente, en lo que aqui respecta hablaremos de 70 $)
Entonces de acuerdo a lo expuesto
x + 2y = 70 or y = ( 70 - x) /2 (1)
Esa es la condición inicial.
Ahora bién Juan paga por tres pantalones 38.25 $
Eso quiere decir ( como los pantalones son iguales) que pago 38.25/3 por cada pantalón
38.25/3 = 12.75 $
Ahora bién ese precio tubo una rebaja del precio original del 15 % ( quiere decir que el precio original de cada pantalón es de
12.75/0.85 = 15 $ x = 15 $
Entonces si nos vamos a la ecuación (1) (alli los precios son originales) tenemos que
y = ( 70 - x ) / 2 y = ( 70 - 15 ) / 2 y = 55/2 y = 27.5 $
Ahora Juan paga por dos pares de zapatos donde según las ofertas de la tienda el debera tener un descuento del 10 % en cada par
Por lo que si un par cuesta 27.5 $ le darán un descuento del 10% es decir pagará 27.5 *0.9 = 24.75 por cada par, como son dos pares
pagará 2 * 24.75 = 49.5 $
Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?
There are 6 numbers on the dice, rolling a 3 would be 1/6
Multiply total rolls by probability of getting a 3:
132 x 1/6 = 132/6 = 22
The answer: 22 times.
4x+9/y+11=0 and 6/y -3x=8
9514 1404 393
Answer:
(x, y) = (-2 12/17, -51)
Step-by-step explanation:
Here is the answer to ...
[tex]4x+\dfrac{9}{y}+11=0\\\\\dfrac{6}{y}-3x=8[/tex]
If you mean something else, then parentheses are needed.
__
Let z = 1/y. Then the equations in general form are ...
[tex]4x+9z+11=0\\3x-6z+8=0[/tex]
The solution (cross multiplication method) is ...
x = (9·8 -(-6)·11)/(4(-6)-3·9) = 138/-51 = -2 12/17
z = (11·3 -8·4)/-51 = -1/51
y = 1/z = -51
The solution is (x, y) = (-2 12/17, -51).
A manufacturer knows that their items have a normally distributed length, with a mean of 10.2 inches, and standard deviation of 1.8 inches. If 25 items are chosen at random, what is the probability that their mean length is less than 9.8 inche
Answer:
P [ X ≤ 9.8 ] = 0.1335
Step-by-step explanation:
P [ X ≤ 9.8 ] = [ ( 9.8 - 10.2 )/1.8√25 ]
P [ X ≤ 9.8 ] = - 0.4*5/1.8
P [ X ≤ 9.8 ] = - 2 / 1.8
P [ X ≤ 9.8 ] = - 1.11
From z- table we get: α = 0.1335
P [ X ≤ 9.8 ] = 0.1335 or P [ X ≤ 9.8 ] = 0.1335
Help and explain pls and thankyouuu
Answer: (1, 8)
Step-by-step explanation:
Substitute y = 3x + 5 into the equation 2x + 3y = 26:
2x + 3(3x + 5) = 26
2x + 9x + 15 = 26
11x = 26 - 15
11x = 11
x = 1
Substitute the value of x into the equation y = 3x + 5:
y = 3(1) + 5 = 3 + 5 = 8
Which of the following is a solution to 2sin^(2)x+sinx-1=0
45\deg
200\deg
240\deg
270\deg
330\deg
Hello,
[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]
Answer A : 45°
A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?
Answer:
43.6 (approximately)
Step-by-step explanation:
Diagonal measures of the screen is,
√(35²+26²)
= √(1901)
= 43.6 (approximately)
Answered by GAUTHMATH
We calculate the dioglonal using the Pythagorean theorem
[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]
what is a square plus b square?????????????????
Answer:
c squared
Step-by-step explanation:
Answer:
C Squared
Step-by-step explanation:
a ratio equivalent to 10:15
Answer:
3/2, 6/4, 9/6, 12/8, 15/10, 18/12, 21/14, 24/16, 27/18, 30/20, 33/22, 36/24, 39/26, 42/28, 45/30, 48/32, 51/34, 54/36, 57/38, 60/40
Step-by-step explanation:
Answer:
20 : 30
Step-by-step explanation:
Given Ratio :-
10 : 15Equivalent Ratio :-
10 : 15 10 / 15 10 * 2 / 15 *2 20 / 30 20 : 30Which equation in slope-intercept form represents a line that passes through the point (5,−1) and is parallel to the line y=2x-7?
Answer:
y = 2x - 11
Step-by-step explanation:
y = 2x + b
-1 = 2(5) + b
-1 = 10 + b
-11 = b
Find the other endpoint of the line segment with the given endpoint and midpoint. I
nearest tenth.
Endpoint (-8, 8) Midpoint (5,-3)
b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?
Answer:
The answer would be D
Step-by-step explanation:
I did the quiz
Step-by-step explanation:
n(u)=200
no(A)=80
no(B)=75
ii) Using both brand=200-80-75
=45
iii)n(A)=80+45
=125
iv)n(B)=75+45
=120
will make brainliest, please help
PLS HELP(algebra 1)
solve -7 + 18(17h + 19)
Answer:
335+306h
Step-by-step explanation:
solve the brackets first by distributing 18 to 17h and 19
-7+306h+342
then group the like terms
-7+342+306h
335+306h
which of the following equations describes the line
check all that apply (1,9) (-2, 3) A. y - 1 = 2(X-9) B. Y- 2 = 2(x-3) c. y - 3 = 2(x + 2) D. Y-3 = 2(x - 2) E. y + 2 = 2(x-3) F. - 9 = 2(x - 1)
The equation of the line that connects the two points (1,9) and (-2,3) is,
y = 2x+7
or, y-3=2x+4
or, y-3=2(x+2)
So, option c, is the correct option
Answered by GAUTHMATH
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
Step-by-step explanation:
The area of a sector has the formula
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] Hopefully, this looks somewhat familiar to you. Theta is the central angle given as 75, r is the radius given as 4. Filling in:
[tex]A_s=\frac{75}{360}*(3.14)(4)^2[/tex] and simplifying that a bit to look less threatening, but not by much:
[tex]A_s=\frac{5}{24}(3.14)(16)[/tex] and
[tex]A_s=\frac{251.2}{24}=\frac{157}{15}=10.466666666...[/tex] Not sure how you're supposed to express your answer so I gave both the fraction and its decimal equivalency.
Solve the equation and enter the value of d below. 6d + 7 d= 39
Answer:
d=3
Step-by-step explanation:
13d=39
d=39/13
d=3
Hello!
6d + 7d = 39 <=>
<=> 13d = 39 <=>
<=> d = 39 : 13 <=>
<=> d = 3 => 6 × 3 + 7 × 3 = 39
Good luck! :)
determine which two values the following expression is between.
Answer:
Between 12.8 and 12.9
Step-by-step explanation:
Firstly, we would need to get the value of the surd
So we have this as;
2 √41 = 12.81
Now, looking at the options, we can see that it lies between 12.8 and 12.9; this is our answer
What is the approximate value of x. Enter only a numeric answer rounded to the nearest tenth
Answer:
14.9 degrees
Step-by-step explanation:
For this problem you can use Tan∅=o/a and solve for the angle:
15.7 / 59 = 0.2661
Then use inverse tangent of 0.2661 to get 14.9.
bobby drove 110 miles and his car used 5 gallons of gas. How many miles can he drive with 16 gallos of gas
Answer:
Bobby can drive 352 miles with 16 gallons of gas.
Step-by-step explanation:
110 miles uses 5 gallons of gas.To find how many miles can be driven with one gallon we divide 110 by 5.
110 ÷ 5 = 22
Therefore to find the amount of miles that can be driven with 16 gallons we multiply 16 × 22 = 352
Please answer this to the best of your ability
Answer:
For this exercise we need to solve the next equation:
3 +6x = 2x + 27
We can start substracting 3 at both sides:
3 + 6x - 2 = 2x + 27 - 3
6x = 2x + 25
And then, we can substract 2x::
6x - 2x = 2x + 24 - 2x
4x = 25
Then, we divide by 4:
4x/4 = 24/4
x = 24/4 = 6
Now, we can see if we have done it correctly:
3 + 6*6 = 39
2 * 6 + 27 = 39
And we have seen our result is correct
What is the volume of the sphere in terms of pi?
V=
6 in.
Answer:
= 288π in2
Step-by-step explanation:
Volume of a sphere is given by;
V =(4/3)πr3
V = volume
r is radius
Therefore V = {(4/3) × π × (6^3)} in3
= 288π in2
y=-3x+5
5x-4y=-3
pls help
Hello!
[tex]\large\boxed{x = 1, y = 2}[/tex]
We can solve this system using substitution.
Since y = -3x + 5, we can substitute this into the following equation:
5x - 4(-3x + 5) = -3
Simplify:
5x - 4(-3x) - 4(5) = -3
5x + 12x - 20 = -3
Combine like terms:
17x - 20 = -3
Add 20 to both sides:
17x = 17
x = 1
Substitute to find y:
y = -3(1) + 5
y = -3 + 5
y = 2
Solution: (1, 2)
Answer:
(1,2) x=1; y=2
Step-by-step explanation:
We can plug the value of Y into the second equation like so:
[tex]5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x=-3+20\\17x=17\\x=1[/tex]
Then we can plug the value of x into the first equation.
[tex]y=-3+5\\y=2[/tex]
(1,2)
Hope this helped! Please mark brainliest :)
In a triangle ABC, if a=16m c=14m b=19m. Find the angles
Step-by-step explanation:
went to a calculator
it said
Angle ∠A = 55.543°
Angle ∠B = 78.28°
Angle ∠C = 46.177