Answer:
65 percent certain to get the job
Step-by-step explanation:
The given parameters are;
The chance that she gets the job if she receives a strong recommendation, P(J|S) = 80 percent = 0.8
The chance that she gets the job if she receives a moderately good recommendation, P(J|M) = 40 percent = 0.4
The chance that she gets the job if she receives a weak recommendation = 10 percent, P(J|W) = 0.1
The probability that the recommendation will be strong, P(S) = 0.7
The probability that the recommendation will be moderate, P(M) = 0.2
The probability that the recommendation will be weak, P(W) = 0.1
Therefore, the probability that she gets the job given any condition, is given as follows;
P(J) = P(J|S)×P(S) + P(J|M)×P(M) + P(J|W)×P(W)
∴ P(J) = 0.8 × 0.7 + 0.4×0.2 + 0.1×0.1 = 0.65
Therefore, she is 65 percent certain to get the job
Q1. Interpreting Direct Proportion
In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the Following:
(2, 9) (5, 22.5) (12, ?) (?, 90) (?, ?)
What is the constant of proportionality k when y=kx: ?
Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales
increase last year? What percentage did sales decrease this year?
Sales increased
last year, from $5,000 to $10,000. When sales dropped from $10.000 to $5,000 this year, sales decreased
Answer:
Last year sales increased by 200%. This year sales decreased by 50%.
Step-by-step explanation:
What value of n makes the statement true?
6xn· 4x2 = 24x6
Answer:
4
Step-by-step explanation: This one is easy if you have 6 groups of ones then times it by 4 and you will get 24.
Answer:
N= 4
C=5
T=22
K=1
Step-by-step explanation:
Edge 2021
The quadratic function f has a vertex at (3,4) and opens upward. The quadratic function g is shown below. Which statement is true? A. The minimum value of g is greater than the minimum value of f. B. The maximum value of g is greater than the maximum value of f. C. The minimum value of f is greater than the minimum value of g. D. The maximum value of f is greater than the maximum value of g.
Answer:
The minimum value of f(x) is greater than the minimum value of g(x).
Step-by-step explanation:
Given
[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)
[tex]g(x) = 4(x - 4)^2 + 3[/tex] --- g(x) equation
Required
Which of the options is true
First, we identify the vertex of g(x)
A quadratic function is represented as:
[tex]g(x) =a(x - h)^2 + k[/tex]
Where:
[tex](h,k) \to[/tex] vertex
So, we have:
[tex](h_2,k_2) = (4,3)[/tex]
[tex]a = 4[/tex]
If [tex]a>0[/tex], then the curve opens upward
From the question, we understand that f(x) also open upward. This means that both functions have a minimum
The minimum is the y (or k) coordinate
So, we have:
[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)
[tex](h_2,k_2) = (4,3)[/tex] --- vertex of g(x)
The minimum of both are:
[tex]Minimum = 4[/tex] ---- f(x)
[tex]Minimum = 3[/tex] ---- g(x)
By comparison:
[tex]4 > 3[/tex]
Hence, f(x) has a greater minimum
Answer:
The minimum value of f(x) is greater than the minimum value of g(x).
Step-by-step explanation:
Proportional relationships between x and y help anyone
Answer:
The table on the right, the green table, is the one that shows a proportional relationship
Step-by-step explanation:
Solve the equation and enter the value of x below. x(8 + 9) = 34
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]x(8 + 9) = 34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x = \frac{34}{17} \\ x = 2[/tex]
=> The answer is 2.
Round 7874 to the nearest 100
Answer:
7900 is the round off to the nearest hundred
Efectúa las siguientes operaciones, aplicando la propiedad distributiva de la multiplicación. De ser posible simplifique los resultados
e) 3√2 (2√6-√4-5√6-6)
f) -5√2 (√9+√8-3√4-1)
Answer:
Step-by-step explanation:
e) 3√2 (-3√6 -2 -6)
3√2 (-3√6 - 8)
-9√12 - 24√2
-9√(2^2 * 3) - 24√2
-18√3 - 24√2
or
6(-3√3 - 4√2)
f) -5√2 (3 + 2√2 - 6 - 1)
-5√2(-4 + 2√2)
20√2 - 20
or
20(√2 - 1)
Refer to pictures help asap please
Answer:
x = 76.58°
Step-by-step explanation:
hyp = 13.41
tan = opp/adj
tan = 1/2 = 26.57
x = 76.58
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
Answer:
0.28 seconds
Step-by-step explanation:
To solve, I usually set up an equation.
miles = 213 = 1
sec 60 x
Then use cross multiplication.
213x=60
Divide both sides by 213
x=0.281690141
If you are supposed to round, round.
Hope this helps!
Answer:Hope this helps.
Step-by-step explanation:
9. Determine the volume of concrete needed to build a ramp in the shape of a triangular prism to the nearest tenth of a cubic metre.
Answer:
67.5
Step-by-step explanation:
I've learned this multiple ways but in my opinion this is the easiest. Just times everything together so, 40 x 2.5 x 1.2 which equals 135 and then divide 135 by 2 which equals your answer of 67.5 which is rounded to the nearestt tenth already.
PLEASE HELP ASAP !!!
compare and contrast how to graph x=2 and y=-4
Answer:
I attached pictures of the two graphs, I hope they help!
Step-by-step explanation:
Answer:
x = 2 is a vertical line going through 2 on the x-axis. It has an undefined slope.
y = 4 is a horizontal line going through 4 on the y-axis. It has a slope of zero
They are perpendicular.
Step-by-step explanation:
Find the measure of the missing angle using the exterior angle sum theorm.
Step-by-step explanation:
the correct answer for the question is 85
We know that, in a triangle,
Exterior angle = Sum of interior opposite angles
So,
missing angle = 45° + 40°
=> missing angle = 85°
Jacob went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Jacob pick each mile?
Write your answer as a proper fraction or mixed number.
Answer:
16 2/3 ounces per mile
Step-by-step explanation:
50 ounces of blueberries/3 miles = 16.666 repeated
16.666 repeated = 16 2/3 ounces/mile
Which number line represents the solution set for the inequality -4(x + 3) 3-2-2x? -7 -6 -5 -4 -3 -2 -1 0 1 G 4 4 4 6 OT 7 -7 -6 -5 -4 -3 -2 -1 3 4 091 6 7 tuum ແຕ່ແຕ່nານານແນານານານານາສາສນາພແ[ -7 -6 -5 -4 -3 -2 -1 0 1 B 5 5 6 T -7 -6 -5 -4 -3 -2 -1 0 1 3 4 A
HURRY!!!!
Answer:
Option (1)
Step-by-step explanation:
Given inequality is,
-4(x + 3) ≤ -2 - 2x
Further solve this inequality,
-4x - 12 ≤ -2 - 2x
-4x + 2x - 12 ≤ -2 - 2x + 2x
-2x - 12 ≤ -2
-2x - 12 + 12 ≤ -2 + 12
-2x ≤ 10
-x ≤ 5
x ≥ -5
Therefore, on a number line draw an arrow starting with a solid circle (because of equal to sign) and moving towards the numbers greater than -5.
Option (1) is the answer.
Find the total number of outcomes in each experiment. Write your answers on a sheet of paper.
1. tossing a coin
2. tossing 3 coins
3. rolling a die 10 times
4. rolling two dices
5. pressing a number key on a calculator
6. picking a card from a regular deck of cards
7. choosing a letter from the English alphabet
8. choosing a letter from the word OUTCOME
9. choosing a letter from the word PREDICTION
10. picking a crayon from a box with 36 crayons of different colors
Answer:
Step-by-step explanation:
In each option you need to find the number of outcomes of a single event and then multiply that by the number of times that event takes place.
1. 2 outcomes (heads and tails)
2. 6 outcomes (2 outcomes * 3 tosses)
3. 60 outcomes (6 outcomes per die * 10 rolls)
4. 12 outcomes (6 outcomes per die * 2 rolls)
5. 10 outcomes (10 numbers on the pad)
6. 52 outcomes (52 cards in a regular deck)
7. 32 outcomes (32 letters in the alphabet)
8. 7 outcomes (7 letters to choose from)
9. 10 outcomes (10 letters to choose from)
10. 36 outcomes (36 crayons to choose from)
Evaluate the expression: 5 + (1 + 1)3 × 2.
5 + (1 + 1)3 × 2
5 + (2) 3 x 2
5 + 6 x 2
5 + 12
17
Answer:
17
Step-by-step explanation:
5 + (1+1)3*2
1+1= 2
5+2*3*2
3*2= 6
6*2= 12
12+5=17
common factors of 8xy⁴,6x²y,10x²y²
Answer:
[tex]2^{3}[/tex]×5×3×[tex]x^{2}[/tex]×[tex]y^{4}[/tex]
Step-by-step explanation:
[tex]8xy^{4}[/tex]= [tex]2^{3}[/tex]×[tex]x[/tex]×[tex]y^{4}[/tex]
6[tex]x^{2} y[/tex]= 2×3×[tex]x^{2}[/tex]×[tex]y^{}[/tex]
10[tex]x^{2} y^{2}[/tex] = 2×5×[tex]x^{2}[/tex]×[tex]y^{2}[/tex]
[tex]2^{3}[/tex]×5×3×[tex]x^{2}[/tex]×[tex]y^{4}[/tex]
Se tienen tres tanques de la misma altura (5 metro) pero sus formas son diferentes. El primero es de base circular de 3 metros de radio, el segundo su base es elíptica y su eje mayor y menor mide 6 y 4 metros respectivamente. El último tanque es un cono invertido, con una base circular de 3 metros de radio. Si en todos se llena agua con un caudal de 1.5 litros por cada segundo, determine la razón de cambio de la altura respecto al tiempo.
Answer:
1.-dh/dt = 5.31*10⁻⁵ m/seg
2.-dh/dt = 1.99*10⁻⁵ m/seg
3.-dh/dt = 1.59*10⁻⁴ m/seg
Step-by-step explanation:PREGUNTA INCOMPLETA NO SE INDICAN LAS FORMAS DE LOS TANQUES.
Asumiremos que los tres tanques son:
el primero cilindro recto de Vc = π*r²*h ( r es radio de la base y h la altura)
el segundo asumiremos que es eliptico recto de Ve = π*a*b*h aqui a y b son los ejes de la elipse y h la altura
El tercero es un cono invertido Vco = 1/3 *π*r²*h ( r es el radio de la base.
1.-Caso del cilindro
Vc = π*r²*h
Derivando en ambos miembros de la expresión tenemos:
dV(c) / dt = π*r²*dh/dt
Sustituyendo
1.5 Lts/seg = 3.14 * (3)²*dh/dt
1.5/1000 m³/seg = 28.26 m² dh/dt
1.5/ 28260 m = dh/dt
Despejando dh/dt
dh/dt = 1.5 / 28260 = 5.31*10⁻⁵ m/seg
dh/dt = 5.31*10⁻⁵ m/seg
2.-La elipse
Ve = π*a*b*h
Aplicando el mismo procedimiento tenemos:
DVe/dt = 1.5 Lts/seg = π* 6*4* dh/dt
1.5 /1000 = 75.36 *dh/dt
dh/dt = 1.5 / 75360 m/seg
dh/dt = 1.99*10⁻⁵ m/seg
3. El cono invertido
Vco = (1/3)*π*r²*h
DVco/dt = (1/3)*π*r²*dh/dt
1.5/1000 = 9.42 *dh/dt
dh/dt = 1.5/9420
dh/dt = 1.59*10⁻⁴ m/seg
In a deck of 52 playing cards, what is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9?
Answer:
4.8%
if we assume that the first card is REPLACED (otherwise the formula gets complex)
[tex](\frac{4}{52} )(\frac{32}{52} ) = \frac{8}{169} = .048[/tex]
Step-by-step explanation:
13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
In a deck of 52 playing cards
We need to find the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
n(S) =52
And the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is,
n(E) =13 a set of a diamond suit, because a diamond suit has {A, K ,Q ,J ,2,..,9}
Thus, the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is 13/52 or 1/4 .
Hence, 13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Miast
Select the correct answer.
Which of the equations below represents a line parallel to the x-axis?
А.= 5
B.y = 1
C.y = 1
D.y = 5
Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.
Step-by-step explanation:
Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the y-axis at 'c'.
All equations in the option are of the form y = c
option A , (y=5)
option B , (y=1)
option C , (y=1)
option D, (y=5)
All are parallel to X-axis.
For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')
#Muhib
Find fourth proportional of 6, 9, 18. Please say me correct answer
Hi i need help please
Find the volume of this sphere.
Use 3 for TT.
V
11 in
V ~ [?]in3
V= inr3
Answer:
So the volume of a sphere is calculated using the formula: [tex]\frac{4}{3} \pi r^{3}[/tex]
r = the radius = 11 inchesπ = 3.14Substitute in the value of r and solve:
[tex]\frac{4}{3} \pi 11^{3}\\\\=\frac{4}{3} \pi *1331\\\\=\frac{4*3.14*1331}{3}\\\\=5,575.28[/tex]
resultado da prova da olimpíadas de matemática
Can somebody please help meee
Answer:
Top one: y= 3/1+2
bottom: y= -1/1+4
a box has length breadth height of 1m 50 cm and 30cm respectively find its volume
Answer:
[tex]1 \times 50 \times 30 = 150 {cm}^{3} [/tex]
please mark as brainliest
Answer:
150,000 cm^3
Step-by-step explanation:
100*50*30 = 150,000
look at image for question and answers
Answer:
ANSWER :
it's x + 3 + x
translate the sentence into an equation
three more than the quotient of a number and 2 is 9
Answer:
Well the correct answer is 9=2+(x/3) or
(3/x)+2=9
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
Using a rain gauge, Gerry determined that
1
2
inch of rain fell during
3
4
of an hour. What is the unit rate of rainfall in inches per hour?
Answer:
2/3
Step-by-step explanation:
1/2 ÷3/4 =
1/2 ×4/3 = 4/6
4/6 ÷2 = 2/3 is the answer
