Answer:
Step-by-step explanation:
[tex]x=\frac{D_{1}}{D} \\y=\frac{D_{2}}{D}[/tex]
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks. please help!!!
Answer:
500 + (40x)
Step-by-step explanation:
she already has 500 in her bank account and there are multiple weeks. 40 dollars per week would be 40x since we don’t know how many weeks. then put it in an equation!
Answer:500 + 40w = m
Step-by-step explanation:
500 is the amount you had already then you add 40 per a week so you times that by w depending on the weeks and m is money overall.
this should be the answer
Hoped this helped
Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random sample of 50 students, she found that 32 students read at least 1 book last month. Assuming all conditions for inference are met, which of the following defines a 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month?
a. 32 + or - 1.645 underroot(32)(18)/50.
b. 32 + or - + 1.96 underroot(32)(18)/50.
c. 0.64 + or - 1.282 underroot(0.64)(0.36)/50.
d. 0.64 + or - 1.645 underroot(0.64)(0.36)/50.
e. 0.64 + or - 1.96 underroot(0.64)(0.36)/50.
Answer:
[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex], option D
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
From a random sample of 50 students, she found that 32 students read at least 1 book last month.
This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Confidence interval:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex]
So the correct answer is given by option D.
Find the value of x in the triangle shown below 8 2
Answer:
8.25
Step-by-step explanation:
(8x 8) + (2x2) = x ^2
64 + 4 = x2
x = √68
x = 8.25
What happens to the volume of a sphere if its radius is multiplied by 6?
Answer:
216 times the original
Step-by-step explanation:
Volume 1 = 4/3 πr³
volume 2 = 4/3 π(6r)³
v 2 / v 1 = 6³ = 216
When the radius of a sphere is multiplied by 6, the volume is multiplied by 216
How to determine the volume?Let the radius of the sphere be r
The volume of a sphere of radius, r is calculated as:
v = 4/3 πr³
When multiplied by 6, the radius becomes:
R = 6r
The new volume is then calculated as:
V = 4/3 π(6r)³
Divide both volumes
V/v = 4/3 π(6r)³ / 4/3 πr³
Evaluate the quotient
V/v = 6³
V/v = 216
Hence, when the radius of a sphere is multiplied by 6, the volume is multiplied by 216
Read more about volumes at:
https://brainly.com/question/1972490
find the value of x. Pregunta matemática
Answer:
Ejercicios Resueltos
ANGULOS
1. Si el complemento de ángulo x es 2x, ¿Cuál es el valor de x en
grados?
Solución:
2x x 90 += °
3x 90
x 90 / 3
x 30
= °
= °
= °
2. Si el suplemento del ángulo x es 5x, ¿Cuál es el valor de x?
Solución:
5x+x=180
6x=180
x=180 /6
x=30
°
°
°
°
3- Determínese los dos ángulos x e y, cuya suma es 90 y cuya
diferencia es 10 .
°
°
Solución:
-Planteamos el sistema de ecuaciones:
x y 90
x y 10
+= °
−= °
-Resolvemos el sistema. Mediante el método de suma y resta
obtenemos:
2x 100
x 100 / 2
x 50
= °
= °
= °
-Hacemos la sustitución del valor encontrado de x en la primera
ecuación: 50 y 90
y 90 50
y 40
°+ = °
= °−
= °
°
∴La solución al problema es x 50 , y 40 =°= °
°
4. Hállense dos ángulos complementarios tales que su diferencia sea
30° .
Solución:
-Planteamos el sistema de ecuaciones:
x y 90
x y 30
+= °
−= °
-Resolvemos el sistema. Mediante el método de suma y resta
obtenemos:
2x 120
x 120 / 2
x 60
= °
= °
= °
-Hacemos la sustitución del valor encontrado de x en la primera
ecuación:
60 y 90
y 90 60
y 30
°+ = °
= °−
= °
∴La solución al problema es x 60 , y 30 = °= °
°
5. Hállense dos ángulos suplementarios tales que el uno sea 20 mayor
que el otro.
°
Solución:
-Planteamos el sistema de ecuaciones:
x y 180
x y 20
+= °
=+ °
-Resolvemos el sistema:
(y 20 ) y 180
2y 180 20
2y 160
y 80
+ °+ =
= °− °
= °
= °
-Hacemos la sustitución del valor encontrado de y en la primera
ecuación: x 80 180
x 180 80
x 100
+ °=
= °−
= °
°
°
∴La solución al problema es:
x = °= ° 100 , y 180
TRIANGULOS
1.- ¿Cuánto miden cada uno de los ángulos interiores del siguiente
triángulo?
Solución:
Nota: La suma de los ángulos interiores de los triángulos es
180° .
((( A B C 180 ++= °
3x 5x 4x 180 ++ = °
12x 180 = °∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °
x 15 = °
∴( ( A 45 , B 75 ,C 60 =° =°= °
°
°
°
°
°
°
2.- ¿Cuánto miden cada uno de los ángulos del siguiente triángulo?
Solución
a) Ángulo extendido
( ( B CBR 180 + = Esto debido a que son ángulos suplementarios
(B 15x 60 180 + − °=
(B 180 60 15x = °+ °−
(B 240 15x = °−
b) Suma de los ángulos interiores del triángulo
((( A B C 180 ++=
3x (240 15x) 4x 180 + °− + =
7x (240 15x) 180 + °− =
− + °= 8x 240 180− =− 8x 160°
x 7.5 =
∴( ( (( A 22.5 , B 52.5 , C 30 , CBR 127.5 = ° = ° =° = °
3.- Escribe la definición de bisectriz del triángulo.
Es la semirrecta que biseca el ángulo, es decir, divide el ángulo
en dos ángulos congruentes.
4.- ¿Qué es la mediatriz de un triángulo?
La mediatriz de un lado de un triángulo (y en general de un
segmento de recta), es la recta perpendicular a ese lado en su
punto medio.
5.- ¿Que es la mediana de un triángulo?
La mediana de un triángulo, es el segmento de la recta que une
un vértice con el punto medio del lado opuesto.
CUADRILATEROS
1.- ¿Qué cuadrilátero tiene las dos diagonales iguales y sus lados son
iguales dos a dos?
Rectángulo
2.- Si los ángulos de un cuadrilátero miden, respectivamente, 80º, 110º
y 70º, ¿Cuánto medirá el ángulo que falta?
100º
3.- ¿Cuál es el paralelogramo que tiene las diagonales perpendiculares?
Rombo
4.- ¿Cómo se llama el cuadrilátero que tiene dos lados paralelos?
Trapecio
5.- Encuentra el área del paralelogramo que tiene 5cm de base y 3 de
altura
A b*a
A 5*3
A 15
=
=
=
POLÍGONOS 1.- Cuatro ángulos interiores de un pentágono valen respectivamente
110°, 90°, 85° y 125°. ¿Cuánto vale el quinto ángulo?
Solución:
Si la suma de los ángulos interiores de un polígono es:
180°*(n-2)=180°*(5-2) = 540°, a lo que le se le resta los
valores de los ángulos que se dieron, consecuentemente, el
quinto ángulo vale 130°.
2.- ¿Cuántos lados tiene, en cada caso, el polígono cuyos ángulos
interiores suman respectivamente 1080°, 900°, 1260°?
Solución:
Despejando de la fórmula el valor de n, tenemos que:
. 2
180
suma angulos n = ° + , y esto aplicado a cada valor de la suma de los
ángulos internos, obtenemos que los valores de n son 8, 7 y 9
respectivamente.
3.- ¿Cuánto vale cada ángulo exterior de un octágono regular?
Solución:
Aplicando el teorema de que la suma de los ángulos exteriores
de un polígono es 360°, entonces cada ángulo exterior vale
360°/8 = 45°
4.- Calcular los ángulos exteriores de un triángulo rectángulo que tiene
un ángulo agudo doble del otro.
Solución:
Se tiene que la suma de los ángulos interiores es
180°*(n-2)= 180° y éste a su vez es igual a 90° + x + 2x,
despejando x de 3x = 90°, x= 30°, entonces los ángulos
interiores son 30°, 60° y 90°, teniendo como ángulos exteriores
150°, 120° y 90°.
Step-by-step explanation:
There is a box of colored marbles on the counter top. There are 24 blue, 16 green, and 56 red.
Write the ratio of green marbles to red marbles. Don't forget to put your answer in simplest form.
Answer:
i think its 2:7
Step-by-step explanation:
heres why
16 and 56 both have a number that equals which it is 8
so u divide
16/8=2
56/8=7
16:56 in simplest form is 2:7
The owner of an apple orchard would like to estimate the mean number of usable apples produced per tree in his
large orchard. He selects a random sample of 10 trees from his large orchard. This dotplot displays the number of
usable apples produced for each of these trees.
Are the conditions for constructing at confidence interval met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, the conditions for inference are met.
Step-by-step explanation:
know the normal large sample condition is not met and also there are outliers
Answer:
C
Step-by-step explanation:
No, the Normal/large sample condition is not met.
The product of 8 and the sum of a number and 12 is 240
Answer:
18
Step-by-step explanation:
Let the number be 'x'
Sum of 'x' and 12 = x +12
The product of 8 and the sum of a number and 12 = 8* (x +12)
= 8*x + 8*12
= 8x + 96
8x + 96 = 240
Subtract 96 from both sides
8x + 9 6 - 96 = 240 - 96
8x = 144
Divide both sides by 8
x = 144/8
x = 18
A polygon has a perimeter of 36 inches. Each side is exactly 6 inches long. Which of the following figures does this describe?
A. Rectangle
B. Square
C. Regular Octagon
D. Regular hexagon
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer/Step-by-step explanation:
The triangle given is a right triangle
Reference angle = angle E
Thus:
The side that is opposite to angle E is side DF = e
The side that is adjacent to angle E is side EF = d
The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f
Two angles are complementary.
If one angle measures 45
degrees, then what is the
measure of the other angle? *
Answer:
45
Step-by-step explanation:
is this right. ......... I need help
Answer:
yes those all seem to be correct, A, B, and D are the ones that are correct
Use technology to find the P-value for the hypothesis test described below.
The claim is that for a smartphone carrier's data speeds at airports, the mean is u = 19.00 Mbps. The sample size is n=23 and the test statistic is
t= - 1.939.
P-value = (Round to three decimal places as needed.)
Answer:
the p-value should be 0.175 sorry if it's wrong :))
I need help
Please ?!!!!!!
Answer:
High blood pressure
Step-by-step explanation:
Possible DEATH
Answer:
High blood pressure
Step-by-step explanation:
High blood pressure is dangerous
there are 50 pupils in a class out of this 1/10 speak french only and 4/5 of the remainder speak both french and english. if the rest speak to english only, find the number of students who speaks both english and french?
English only?
Answer:
English and French:40 and English:10
Step-by-step explanation:
English and French:4÷5×50
=40
English:1÷10×50
=10
The sum of the two numbers is 40 and the difference is 6. What are the numbers?
ALEKS QUESTION
Answer:
17 + 23 = 40
23 - 17 = 6 the other person did it right.
What is the area of the kite? 10 yd 4 yd 6 yd 4 yd
Mrs. Torchia picked 54 flowers, which represents 60% of all the flowers in her garden.How many flowers are left in Mrs. Torchia’s garden?
What is the solution for the equation?
Negative five-halves = three-fourths + n
n = Negative StartFraction 13 over 4 EndFraction
n = negative start Fraction 7 over 4 EndFraction
n = StartFraction 7 over 4 EndFraction
n = StartFraction 13 over 4 EndFraction
Answer:
n=-13/4 because you subtract 3/4 from -5/2
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
did it on my test edge
A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport
Width= ? feet,
Length= ? feet
Answer:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
Step-by-step explanation:
Given
[tex]W= Width\\ L = Length[/tex]
[tex]Area = 150[/tex]
[tex]W=2*L- 5[/tex]
Required
Determine the dimension
Area is calculated as:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W = 150[/tex]
Substitute: [tex]W=2*L- 5[/tex]
[tex]L * (2*L-5) = 150[/tex]
[tex]L * (2L-5) = 150[/tex]
Open bracket
[tex]2L^2 - 5L = 150[/tex]
Rewrite as:
[tex]2L^2 - 5L - 150=0[/tex]
Expand
[tex]2L^2 -20L + 15L - 150 = 0[/tex]
Factorize:
[tex]2L(L -10) + 15(L - 10) = 0[/tex]
[tex](2L + 15) (L - 10) = 0[/tex]
Split
[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]
Solve for L
[tex]2L =-15[/tex] or [tex]L = 10[/tex]
L cannot be negative
So:
[tex]L = 10[/tex]
Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]
[tex]W = 2 * 10 - 5[/tex]
[tex]W = 20 - 5[/tex]
[tex]W = 15[/tex]
Hence:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
Select the value of x that makes the equation
“-3(x + 10) + 2x = 30” true.
1. 60
2. 0
3. 30
4. -60
5. -20
Answer:
-60
Step-by-step explanation:
-3(x + 10) + 2x = 30 becomes -3x - 30 + 2x = 30 after having performed the multiplication. Combining like terms, we get -x = 60, so that x must be -60 (Answer 4)
Please solve these systems of equations by substitution.
1. x+y=7
x+2y=11
2. x+y=22
x+2y=48
3. x+y=45
x+2y=36
Step-by-step explanation:
x+ 2(7-x) = 11
x+14-2x = 11
-x = -3
x = 3
3+ y = 7
y = 4
x + 2(22-x) = 48
x + 44 -2x = 48
-x = 4
x = -4
-4 + y = 22
y = 26
y = 45-x
x + 2(45-x) = 36
x + 90 -2x = 36
-x = 54
x = -54
-54 + y = 45
y = 99
Answer:
1. x=3 and y=4
2. x=−4 and y=26
3. x=54 and y=−9
Step-by-step explanation:
1. x+y=7;x+2y=11
Step: Solvex+y=7for x:
x+y+−y=7+−y(Add -y to both sides)
x=−y+7
Step: Substitute −y+7 for x in x+2y=11:
x+2y=11
−y+7+2y=11
y+7=11(Simplify both sides of the equation)
y+7+−7=11+−7(Add -7 to both sides)
y=4
Step: Substitute 4 for y in x=−y+7:
x=−y+7
x=−4+7
x=3(Simplify both sides of the equation)
2. x+y=22;x+2y=48
Step: Solve x+y=22 for x:
x+y+−y=22+−y(Add -y to both sides)
x=−y+22
Step: Substitute−y+22 for x in x+2y=48:
x+2y=48
−y+22+2y=48
y+22=48(Simplify both sides of the equation)
y+22+−22=48+−22(Add -22 to both sides)
y=26
Step: Substitute26 for y in x=−y+22:
x=−y+22
x=−26+22
x=−4(Simplify both sides of the equation)
3. x+y=45;x+2y=36
Step: Solve x+y=45 for x:
x+y+−y=45+−y(Add -y to both sides)
x=−y+45
Step: Substitute−y+45 for x in x+2y=36:
x+2y=36
−y+45+2y=36
y+45=36(Simplify both sides of the equation)
y+45+−45=36+−45(Add -45 to both sides)
y=−9
Step: Substitute−9 for y in x=−y+45:
x=−y+45
x=−(−9)+45
x=54(Simplify both sides of the equation)
I hope this helped!
Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?
Answer:
Please provide the statements.
Step-by-step explanation:
Answer:
the equation has one anser
Step-by-step explanation:
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
the product of 5 and 6 reduced by t
Answer:
5(6-t)
Step-by-step explanation:
in math, product means the "sum" of the equation or the final answer
and in your case, that means 5*6, but then we also have to remember that we're "reducing" or subtracting 't'-
5(6-t)
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
of 20 possible books you plan to take 5 with you on vacation. how many different collections of 5 books can you take?
A ______________ consists of an a sample space and a list of events with their probabilities.
probability model
sample space
likelihood
outcome
Sample space َََ َ َ َ َ َ َ َ َ َ
9.A standard IQ test produces normally distributed results with a mean of 100 and a standard deviation of 15. A class of high school science students is grouped homogeneously by excluding students with IQ scores in either the top 15% or the bottom 15%. Find the lowest and highest possible IQ scores of students remaining in the class.(7)
Answer:
The lowest possible IQ scores of students remaining in the class is 84.46.
The highest possible IQ scores of students remaining in the class is 115.54.
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 100 and a standard deviation of 15.
This means that [tex]\mu = 100, \sigma = 15[/tex]
Find the lowest and highest possible IQ scores of students remaining in the class.
Lowest:
The 15th percentile, which is X when Z has a pvalue of 0.15, so X when Z = -1.036.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.036 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = -1.036*15[/tex]
[tex]X = 84.46[/tex]
Highest:
The 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85, so X when Z = 1.036.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.036 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 1.036*15[/tex]
[tex]X = 115.54[/tex]
The lowest possible IQ scores of students remaining in the class is 84.46.
The highest possible IQ scores of students remaining in the class is 115.54.
The sum of two consecutive numbers is 5. Find the equation representing
the same.
Answer:
Step-by-step explanation:
Let the smallest number = x
The next number will be x + 1
x + x + 1 = 5
2x + 1 = 5 This is likely the answer to the question although it could be the equation above.
if 4200 out of 5600 person's voted in an election the percentage which did not vote was
Answer:
25%
Step-by-step explanation:
If the total number of people is 5600, then to find the number of people that did not vote you subtract 4200 from 5600.
5600-4200=1400
Then you can set up the number of people who didnt vote as equal to a percentage over 100
1400/5600=x/100
140000/5600=x
25=x