Answers
Answer:
9. (a) 1/4
(b) remove 3 alphabet cards
(c) add 4 number cards
10. 1/8
Step-by-step explanation:
Question 9
Given:
8 number cards10 alphabet cards6 picture cards⇒ total number of cards = 8 + 10 + 6 = 24 cards
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
(a) P(picture card) = 6/24 = 1/4
(b) P(alphabet card) = 10/24 = 5/12
If we remove 3 alphabet cards from the box
⇒ number of alphabet cards = 10 - 3 = 7
⇒ total number of cards = 24 - 3 = 21
Therefore, P(alphabet card) = 7/21 = 1/3
(c) P(number card) = 8/24 = 1/3
If we add 4 number cards to the box:
⇒ number of number cards = 8 + 4 = 12
⇒ total number of cards = 24 + 4 = 28
Therefore, P(number card) = 12/28 = 3/7
--------------------------------------------------------------------
Question 10
Given:
ΔSDR = ΔPRQLeg length of ΔSDR and ΔPRQ = 4 cm⇒ area of ΔSDR = area of ΔPRQ = 1/2 × 4 × 4 = 8 cm²
As PR = SD = 4cm
Area of rectangle = (4 + 4) × (12 + 4) = 128 cm²
P(point lies in ΔSDR) = 8/128 = 1/16
P(point lies in ΔPRQ) = 8/128 = 1/16
P(point lies in ΔSDR) OR P(point lies in ΔPRQ) = 1/16 + 1/16 = 2/16 = 1/8
Related Questions
1. two positive numbers are in
a ratio of 3:4. the sum of
three times the first and two
times the second is 68. find
the smaller number?
solution
Answers
Answer:
12
Step-by-step explanation:
the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then
3(3x) + 2(4x) = 68 , that is
9x + 8x = 68
17x = 68 ( divide both sides by 17 )
x = 4
smaller number = 3x = 3 × 4 = 12
A different rectangle has a diagonal of 60 yards and a height of 40 yards.find the width of the rectangle rounded to the nearest hundredth
Answers
Answer:
2159.6 i think
Step-by-step explanation:
i used a rectangle calculator
ILL GIVE THE BRAINLIEST TO THE PERSON WHO DOES THIS FOR ME THANK YOU
(Statistics hw)
Answers
11% of the total are left handed
so if we take random 100 students then 11% will be applicable to it also
so :-
[tex] \frac{11}{100} \times 100 \\ 11students[/tex]
Pleas help me (and pls don't ban my question this time Brainly)
Answers
Answer:
d = 7.2
Step-by-step explanation:
12 + d = -4.8
subtract 12 from both sides and you get
d = 7.2
Answer:
-16.8
Step-by-step explanation:
The equation can be solved by performing the inverse of the operation that is done to the variable. Here, 12 is added to the variable. The inverse of that operation is addition of the "additive inverse", or "opposite" of 12:
12 + d = -4.8 . . . . . . given equation
12 -12 +d = -4.8 -12 . . . . . the same operation is done to both sides
d = -16.8
The value of d that makes the equation true is -16.8.
_____
The addition (subtraction) property of equality tells you that adding (subtracting) the same number from both sides of an equation will not change the value of the variable.
Please help math in the sreenshot
Answers
Answer:
yeh
Step-by-step explanation:
1 gallons = 4 quarts
4,8,20,28
quarts= 2 pints
1,3,6,16
1 pint= 2 cups
2,6,5,18
Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the afternoon. How many pizzas did they sell in all that day? Show your work and check whether your answer makes sense. Show how you can tell that your answer makes sense
Answers
Answer:
it's 2.9 that's how. I get the qnswer
50 POINTS - GEOMETRIC PROOFS (TvT) - will give brainly
(in the image) What would the empty space for 8. be? (i was thinking symmetric or reflexive but i don't know :c ) Also, are the ones filled out in pencil correct?
thanks for your time :D
Answers
Step-by-step explanation:
<ADC is 90
in triangle ACD
<CAD + ACD + ADC = 180
<CAD + ACD + 90 = 180
<CAD + ACD = 90
hence CAD AND ACD MAKES complementary angle(90)
Angle sum property
<ADC is 90°
As
Sum of angles in triangle is 180°
<CAD+<ACD=180-90=90°Hence they are complementary
A square has a perimeter of 36 cm. What is the length of each side?
Answers
Answer:
a square has all its sides equal so you divide by 4
to get 9cm
hope it helps!Answer:
4cm
Step-by-step explanation:
4tmes side gives as perimeter
4side =36
x=4
PLEASE HELP ME WITH THIS!!!!!
Answers
For the given experiment of spinning a spinner and drawing a card, we will see that:
A) Yes, the events are independent.B) P(3 and A) = 1/16C) P(5 and C) = 0D) P(4) = 1/4 P(B or C) = 1/2E) P(3 and not D) = 3/16What are independent events?
We say that two events are independent if the outcome of one does not affect the outcome of the other.
In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.
How to get the probabilities?
B) First we want to get the probability of getting 3 and A.
The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:
p = 1/4
Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:
q = 2/8 = 1/4
The joint probability is the product of the two individual probabilities, we have:
P(3 and A) = p*q = 1/4*1/4 = 1/16
C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.
D) P(4) is the probability of drawing the card with the number 4, this is:
p = 1/4
P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:
q = (2 + 2)/8 = 1/2
E) P(1 and not D) is equal to: P(1 and A or B or C).
P(1) is 1/4.
P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)
Then the joint probability is:
P(1 and not D) = (1/4)*(6/8) = 3/16
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
ΔA'B'C' was constructed using ΔABC and line segment EH.
2 triangles are shown. Line E H is the line of reflection. Line segment B B prime has a midpoint at point D. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G.
For to be the line of reflection between and , which statements must be true? Select three options.
BD = DB'
DF = FG
m∠EFA = 90°
The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
ΔABC is not congruent to ΔA'B'C'.
Answers
Answer: 1,3,4
Step-by-step explanation:
Answer: 1., 3., and 4.
Step-by-step explanation: On Edge!!
3
Lucas and Zoe visit their mother on April 7th. From then on, Lucas visits his mother every
fifth day and Zoe visits every eighth day. On what date will Lucas and Zoe both next visit their
mother at the same time?
Answers
Answer:
Lucas and Zoe will both next visit their mother on 7th of May at the same time.Step-by-step explanation:
First, find the first multiple that can be divisible by 5 and 8:
40 is divisible by 5 and 8.
Second, find the days in April and subtract 7 from the days:
April=30 days.
30-7= 23 days.
Finally, subtract 23 from 40 and find it in the next month, which is May:
40-23=17
Therefore, they will both next visit their mother on the 7th of May.
What are the new coordinates of the figure above if it is dilated by a scale factor of 4, with the origin as the center of dilation ?
A. A’ (-1,-4), B’(-4,4), C’(2,-4)
B. A’(-4,-1), B’(-4,4),C’(8,-1)
C. A’(-5,-5), B’(-5,5),C’(6,-5)
D. A’(-4,-4), B’(-4,4)C’(8,-4)
Answers
Answer: D
Step-by-step explanation:
Regression equation : y = 3.915(1.106)x. which two equations below could you solve to find d, the number of days it takes the water lily population to double? 2 = 3.915(1.106)d 7.830 = 3.915(1.106)d 7.830 = 3.915(2)d 2 = 1.106d
Answers
Answer: 1.106D
Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D
The number of days it takes the water lily population to double will be 3.915.
What is a regression equation?The equation is written as Y= a + bX, where Y is the dependent variable and X is the independent variable.
This is an algebraic idea; imagine the initial number was x and the new number is 2x. If the constant rate of growth is r and the time is D, the function expressing growth will be:
[tex]2x=x(r)D\\\\ 7.830=3.915(1.106)D\\\\ 7.830=3.915(2)D[/tex]
Hence the number of days it takes the water lily population to double will be 3.915.
To learn more about the regression equation refer to the link;
https://brainly.com/question/7656407
1
2. Four friends are on a boating excursion on the Gulf of Mexico. One is parasailing in the air, above
sea level. Two are scuba diving in the water, below sea level. One is swimming on the surface, at
sea level.
Which integer represents the elevation of the friend who is swimming on the surface?
A.-2
B. O
C. 1
D.4
Answers
Explanation: at sea level is 0, below sea level would be a negative such as -2, and above sea level is any number above zero, such as 2.
The integer that represents the elevation of the friend who is swimming on the surface is 0.
What are integers?An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043. Z is a set of integers that consists of the following:
Positive Numbers: If a number is greater than zero, it is considered positive. For instance, 1, 2, 3, etc.Negative numbers are those that are less than zero. For instance: 1, 2, 3, etc.Zero is described as being neither a positive nor a negative number. A whole number, that is.Given:
Two are scuba diving in the water, below sea level. One is swimming on the surface, at sea level.
We know that the the region below sea level represented by negative integers and the region above sea level represented by positive integers.
Thus, if the scuba driver is on the surface then it neither negative nor positive.
So, it would be represented by zero.
Hence, the integer that represents the elevation of the friend who is swimming on the surface is 0.
Learn more about integers here:
https://brainly.com/question/15276410
#SPJ2
pick correct anser for 10 points !!!
Answers
Answer:
[D] a/b < d
Step-by-step explanation:
a = -1.25
b = 1
c = 0.5
d = 1.25
Now Solve the statement:
a/d > c
substitute
-1.25/1.25 which is -1
-1 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
c < ab
substitute
0.5 < (-1.25)(1)
0.5 < -1.25
Thus, this is false.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a > bc
-1.25 > (1)(0.5)
Hence,
-1.25 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a/b < d
-1.25/1 < 1.25
-1.25 < 1.25
Thus, this is true
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hence, Answer is [D] a/b < d
[RevyBreeze]
if a new baseball is labeled $36 what would the new price be if the sign above said 41% off
Answers
Answer:
$24.24
Step-by-step explanation:
0.41 x 36 = 14.76
36 - 14.76 =21.24
Hope this helps :)
Solve for the missing angle
Answers
Answer:
[tex]\displaystyle 55,7[/tex]
Step-by-step explanation:
[tex]\displaystyle 1\frac{41}{53} = sec\:x \hookrightarrow sec^{-1}\:1\frac{41}{53} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]
OR
[tex]\displaystyle \frac{53}{94} = cos\:x \hookrightarrow cos^{-1}\:\frac{53}{94} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Evaluate the expression 10^x-3 for x = 2.
Answers
Answer:
1/10 or 0.1
Step-by-step explanation:
10^x-3
10^2-3
10^-1
1/10 or 0.1
HELPPP
47 The figure below shows Andrew's plan for a deck. 24 ft 22 ft 12 ft 33 ft [not drawn to scale] Find the area, in square feet, of the deck.
Show your work,
Answers
Answer:
681ft^2
Step-by-step explanation:
Start by finding the area of the whole thing with the missing triangle:
33 x 22 = 726
Then find the area of the triangle. You can do this by first finding out the side lengths of the triangle:
33 - 24 = 9 and 22 - 12 = 10
Then multiply both sides and divide by two because it is a triangle:
10 x 9 = 90 90/2 = 45
Then subtract the area of the triangle from the rectangle:
726 - 45 = 681
Answer:
pls give brainliest
Step-by-step explanation:
l w +l x w=22 + 33 x 24 + 12=55 x 36 =1980
What is an output in a function
Answers
Answer:
the range of the function.
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Each tick mark shows 1 third. What's
1
3
more than 1?
2
1
2
3
1
3
0
Answers
Answer:
Step-by-step explanation:
1/3 more than 1 is 1 1/3 or 4/3.
write and evaluate an equation or inequality for each situation.
Alexandria has a base pay of $600 increased by her commission (x) totals $740.
Answers
And x = 37/30
Use the multiplier method to increase £56 by 14% you must show your working out
Answers
Answer:
Step-by-step explanation:
First, we have to find 14% of 56
14% of 56 is = 56 x 14/100
= 7.84
Now we have to increase the number 56 by 14%, which means we have to add 14% of 56 (7.84) to the given number (56)
56 + (14% of 56)
= 56 + 7.84
= £63.84
Which expression is equivalent to -9k-3-9k-4−9k−3−9k−4?
-25−25
-7-18k−7−18k
-25k−25k
-12k-13−12k−13
Answers
Find the t-value such that the area in the right tail is 0.005 with 28
degrees of freedom.
Answers
t=3.673900
Explanation:Given
df = 28df=28 -- degree of freedom
Area = 0.005Area=0.005
Required
Determine the t-value
The given parameters can be illustrated as follows:
P(T > t) = \alphaP(T>t)=α
Where
\alpha = 0.005α=0.005
So, we have:
P(T > t) = 0.005P(T>t)=0.005
To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and \alpha = 0.005α=0.005 is 3.673900
Hence, t = 3.673900t=3.673900
5x + 2 =3x - 14
Simplify and solve the following
hey
Answers
Answer:
x=-8
Step-by-step explanation:
5x-3x=-2-14
2x=-16
x=-8
What is the perimeter of a square with a side length of 7 cm?
A. 7 cm
B. 14 cm
C. 21 cm
D. 28 cm
Answers
Answer:
D. 28 cm
Step-by-step explanation:
P=4s
P=4(7)
P=28
Answer:
D. 28cm
Step-by-step explanation:
P = 4s
P = 4(7cm)
P = 28cm
=> D. 28cm
Please help! will give brainlest!
Answers
(a) Make y the subject of 3y - 2x = 5.
(b) Hence, find the value of y when x= -2.
Answers
Answer:
a) 5/2
b) 1/3
Step-by-step explanation:
a) 3y-2x=5 to find the value of y let we replace x by 0
then solve it
Answer:
(a) y = 2/3x + 5/3
(b) y = 1/3
Step-by-step explanation:
(a) Make y the subject of 3y - 2x = 5
3y - 2x = 5
+ 2x + 2x ==> isolate the variable y, by adding 2x to both sides
3y = 2x + 5 ==> divide both sides by three
/3 /3
y = 2/3x + 5/3 ==> y now becomes the subject, or our final answer
(b) Using 3y - 2x = 5 or y = 2/3x + 5/3, find the value of y when x= -2
y = 2/3x + 5/3
y = 2/3(-2) + 5/3 ==> substitute -2 for x
y = -4/3 + 5/3 ==> add the fractions
y = 1/3 ==> the value of y, our final answer
OR
3y - 2x = 5
3y - 2(-2) = 5 ==> substitute -2 for x
3y - (-4) = 5
3y + 4 = 5 ==> --4 makes a +4, the subtract 4 (-4) from both sides
- 4 - 4
3y = 1 ==> divide both sides by 3
/3 /3
y = 1/3 ==> your final answer
Hope this helps!
O f 2 0 0 0 0 small businesses surveyed, about 82%
said they employed women in some capacity.
Of the businesses that employed women, 19. 5%
employed no female supervisors, 50% employed
only one female supervisor, and the remainder
employed more than one female supervisor,
a How many of the businesses surveyed
employed no women?
b W hat proportion of businesses surveyed
employed exactly one female supervisor?
c W hat proportion of businesses surveyed
employed no female supervisors?
d Given that a particular firm employed women,
what is the probability that it employed at
least one female supervisor
Answers
Using proportions, it is found that the desired amounts are given as follows:
a) 360 businesses employeed no women.
b) 41% of the businesses surveyed employed exactly one female supervisor.
c) 15.58% of the businesses surveyed employed no female supervisors.
d) 80.5% probability that it employed at least one female supervisor.
What is a proportion?A proportion is a fraction of a total amount.
Item a:
18% out of the 2000 businesses surveyed, hence:
n = 0.18 x 2000 = 360.
Item b:
50% out of 82%, hence:
p = 0.5(0.82) = 0.41.
41% of the businesses surveyed employed exactly one female supervisor.
Item c:
19% out of 82%, hence:
p = 0.19(0.82) = 0.1558.
15.58% of the businesses surveyed employed no female supervisors.
Item d:
100 - 19.5 = 80.5% probability that it employed at least one female supervisor.
More can be learned about proportions at https://brainly.com/question/24372153