Answer:
1. 0.0469 (4.d.p)
2. 0.05
Step-by-step explanation:
1. First we'll find the probability of drawing a blue marble.
P = (No. favourable events)/(Total events)
In this case it's:
P = (No. blue marbles)/(Total Marbles)
Therefore P(Blue) = 4/16 = 0.25
Now we find the probability of drawing a yellow marble:
The total number will be the same because the blue marble will have been put back.
P(Yellow) = 3/16 = 0.1875
Now, since we are calculating the probability of both happening we multiply together the two individual probabilities to get the combined probability of both:
0.25 x 0.1875 = 0.0469 (4.d.p)
2. The probability of drawing a blue marble is still the same so we can keep that: P(Blue) = 0.25
But this time, the marble is not replaced. This means that the total number of marbles has changed when drawing the yellow marble:
P(Yellow) = 3/15 = 0.2
Now we multiply them together again to find the combined probability of both happening:
0.25 x 0.2 = 0.05
Hope this helped!
HELP ASAP 50 POINTS
What are the exact solutions of x2 + 5x + 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 5 plus or minus the square root of 21 all over 2
x = the quantity of negative 5 plus or minus the square root of 21 all over 2
x = the quantity of 5 plus or minus the square root of 29 all over 2
x = the quantity of negative 5 plus or minus the square root of 29 all over 2
Answer:
B. x = the quantity of negative 5 plus or minus the square root of 21 all over 2Step-by-step explanation:
x² + 5x + 1 = 0 x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex])/ (2a)x = (- 5 ± [tex]\sqrt{5^2 - 4*1*1}[/tex]) / (2*1)x = (- 5 ± [tex]\sqrt{21}[/tex]) /2Correct choice is B
Find m
70°
55°
80°
90°
Answer:
70°
Step-by-step explanation:
angle subtended by arc is half of arc
Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²
Respuesta:
88,8 cm²
Explicación:
Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.
Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.
Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm
Luego, podemos calcular el área del hexágono usando la siguiente fórmula:
Area = Perímetro × Apotema / 2
Area = 48 cm × 3,7 cm / 2 = 88,8 cm²
Write an equation in slope-intercept form of the line that passes through the given points.
[-15(-1.5)]+[(-2.5) x 1.25] plz help me out guys
Answer:
19.375
Step-by-step explanation:
Hope this helps ;)
Answer: 19.375
Step-by-step explanation:
[-15(-1.5)]+[(-2.5) x 1.25]
[22.5]+[-3.125]
22.5-3.125= 19.375
The width of a rectangle is 1units less than the length. The area of the rectangle is 42 units
Answer:
Step-by-step explanation:
w=l-1
∵A=l×w
∴A=l×(l-1)
⇒42=l²-l
⇒l²-l-42=0 (After subtracting 42 from both sides)
Two factors of 42 that add to give negative 1 :-7+6
∴ (l-7)(l+6)=0
∴ l=7 or l=-6
but remember that length is a scalar quantity, hence l≠6 but l=7.
I hope this helped you solve this math problem and made you better understand
Idil has a smart phone data plan that costs $25 per month that includes 10 GB of
data, but will charge an extra $20 per GB over the included amount. How much
would Idil have to pay in a month where she used 4 GB over the limit? How much
would Idil have to pay in a month where she used went over by x GB?
Jayden has $0.56 worth of pennies and nickels. He has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Jayden has.
There are ______ pennies and _______ nickels
Answer:
there are 7 nickels and 13 pennies
PLEASE HELP WITH GEOMETRY IM STUCK!?}
Answer:
13.8
Step-by-step explanation:
Recall the trigonometric ratios
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now lets look back at the question
We are given an angle and its adjacent side length (11) and we need to find the hypotenuse
The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x
( remember that cosine = adjacent over hypotenuse )
[tex]cos(37)=\frac{11}{x}[/tex]
step 1 multiply each side by x
[tex]cos(37)*x=xcos(37)\\\frac{11}{x} *x=11[/tex]
now we have [tex]xcos(37)=11[/tex]
step 2 divide each side by cos(37)
[tex]\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\[/tex]
we're left with x = 13.77439
Our last step would be to round to the nearest tenth
We would get that the answer is 13.8
Answer:
G) x = 13.8
Step-by-step explanation:
cos 37° = adj/hyp = 11/x
0.7986x = 11
x = 13.8
The ratio of small dogs two big dogs at the park is 1: 3 which does not represent this ratio A. 3:9 B. 9:27 C. 2:4 D. 30:90
C(2.4) does not represent this ratio.
Answer:
2:4
Step-by-step explanation:
i did the test
PLEASE HELP ME ILL GIVE BRAINLIEST
Select the correc answer. Consider function g. 5+2 What is the average rate of change of function g over the interval [-4, 3]
OA. 1/2
OB. -7/2
OC. -1/2
OD. 2
What is the value of X
What is the value of Y
I will crown u and give you 20 extra points
Answer:
See below for answers and explanations
Step-by-step explanation:
4) 35° and x° are vertical angles, so they are congruent to each other. Therefore, x°=35°. Since y°+y°+35°=180° since they are all supplementary to each other, then y°=72.5° when solved.
5) A is true. Think of two adjacent angles measured 60° and 30° that are next to each other. They add up to 90° as well.
B isn't true. Vertical angles are congruent to each other, not supplementary.
C isn't true. The statement contradicts itself. Complementary angles add up to 90° while supplementary angles add up to 180°
Plz help
What is the next step in this construction?
A. construct a line perpendicular to x p through point a
B.measure the distance from point A to p
C.construct a line parallel to XP through point a
D. construct a transversal line through points a and X
Answer:
Construct a transversal line through points A and X. i think im not sure
Step-by-step explanation:
Anyone knows this? im giving 20 points pls answer , and it doesnt need to be big im just in 9th grade
Answer:
men=24%
women=72%
Step-by-step explanation:
100/250=0.4
0.4*180=72
0.4*60=24
i think this is the answer
In the system of equations
-3.0 - 4y = 4
-52 + y = 2
Is (2, 10) a solution to the system?
Answer:
No, (2, 10) is not a solution to the system
Step-by-step explanation:
The given set of equations are -
-3X - 4Y = 4 --- Eq(1)
-52X + Y = 2--- Eq (2)
Multiplying equation 2 by 4, we get
-3X - 4Y = 4 --- Eq(1)
4 *(-52X + Y = 2)--- Eq (2)
-3X - 4Y = 4 --- Eq(1)
-208X + 4Y = 8--- Eq (2)
Now we will add equation 1 and 2
-211 X = 12
X = 12/211
Hence, the given set of solution does not fit for the given two equations
exponential function b^y=x can be expressed as
Answer:
[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]
9 ( x - 5 ) = -108 solve for x
Answer:
x = -7
Step-by-step explanation:
9 ( x - 5 ) = -108
9x - 45 = -108
add 45 to each side of the equation:
9x = -63
divide both sides by 9:
x = -7
Answer:
x = - 7
Step-by-step explanation:
9(x - 5) = - 108
9x - 45 = - 108
9x - 45 + 45 = - 108 + 45
9x = - 63
9x ÷ 9 = - 63 ÷ 9
x = - 7
Which expression is equivalent to 32 + 16?
(A) 8(4 + 2)
(B) 8(24 + 8)
(C) 7(4 + 2)
(D) 7(24 + 8)
answer: (A) 8(4+2)
Step-by-step explanation:
I think so BECAUSE I ADD IT ALL UP
9. swimsuit: $22, 5% off, 4% tax
Answer:
21.74
Step-by-step explanation:
Are you looking for price of swimsuit including tax?
22 x .05 = 1.10 off
22-1.10=20.90 price before sales tax
20.90 x .04 = .84 tax on sales price
20.90 + .84 = 21.74 total paid
A student was interested in purchasing notebooks in bulk to get ready for school. Three stores were offering packages of the kind of notebook the student wanted. The table below shows the offers from each store. Order the stores from the best deal to the worst deal for the notebooks.
I need help (20 points)
NEED HELP FAST....Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x + y =3 3y = x - 12.... graph showing two lines intersecting at (3, 3) / graph showing two lines intersecting at (5, -7) / graph showing two lines intersecting at (3, -3) / graph showing two lines intersecting at (-3, -3)
Answer:
Step-by-step explanation:
Answer:
answer is c
Step-by-step explanation:
Jamie wants to make an 80, or B, test average in her class. She scored 75 and 82 on her last 2 tests. What is the lowest grade she can make on her last test to finish with an 80 test average?
Answer:
Its probably too late now but the answer is 83
Step-by-step explanation:
83 is the lowest grade she can make on her last test to finish with an 80 test average.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Jamie wants to make an 80, or B, test average in her class.
She scored 75 and 82 on her last 2 tests.
we need to find the lowest grade she can make on her last test to finish with an 80 test average
Let x be the e lowest grade she can make on her last test to finish with an 80 test average
75+82+x/3=80
157+x=240
Subtract 157 from both sides
x=83
Hence, 83 is the lowest grade she can make on her last test to finish with an 80 test average.
To learn more on probability click:
https://brainly.com/question/11234923
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determine the volume of rectangular prism 6cm 4m 4m
In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?
Explain how you found your answer.
Enter the correct answers in the boxes.
Answer:
150cm²
Step-by-step explanation:
In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?
The formula for the area of a trapezoid = 1/2(a + b) h
Where a = Length of the first base
b = Length of the second base
h= height of the trapezoid
h = 10cm
The length of one base is equal to its height
Hence:
a = h = 10cm
The length of the other base is twice its height.
b = 2h
h = 10cm
b = 10 × 2 = 20cm
Therefore, the Area of the Trapezoid =
1/2 (20 + 10)10
1/2 × 30 × 10
= 150cm²
In ΔSTU, the measure of ∠U=90°, the measure of ∠S=31°, and TU = 77 feet. Find the length of US to the nearest tenth of a foot.
Answer:
US = 128.15 ft
Step-by-step explanation:
tan 31° = 77/US
0.6009 = 77/US
0.6009US = 77
US = 128.15 ft
Answer:
128.7
Step-by-step explanation:
Explain how the mean, median, and mode affect your purchase decisions?
Answer:
When a frequency distribution is symmetric, the mean, median and mode coincide in their value (X = Me = Mo). ... In a distribution skewed to the right, the relationship is reversed, the mode is greater than the median, and this in turn is greater than the mean (Mo> Me>).
Step-by-step explanation:
l hope and this can help you
PLEASE HELP ME i DONT KNOW how to do this!
Answer:
It's b
Step-by-step explanation:
It is b or the second option because -2 is equal or greater than A therefore it is option 2
f(x) = x^2. What is g(x)?
Answer:
g(x) = 5x^2
Step-by-step explanation:
HELP PLEASE:(
Determine if the triangles are congruent by using HL?
Answer:
whats hl
Step-by-step explanation: