Answer:
d. two and one fourth
Step-by-step explanation:
3 3/4 - 1 2/4 = 2 1/4
2 1/4
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im trying to rank up and i only need 1 more, if not its ok! ty and let me know if you need help with anything else!!
.Lauren has two bags of counters. Bag A has 4 red & 5 blue counters. Bag B has 3 red & 2 blue counters. She takes a counter at random from each bag
Work out the probability Lauren selects one of each colour.
Answer:
1
A bag contains 7 red balls and 3 green balls. Two balls are taken from the bag. Find the probabilities that they are:
(a)
both red
(b)
both green
(c)
one red and one green.
Show me
2
Weather experts estimate the probability of rain any day as
0.6 if it rained the previous day
0.3 if it did not rain the previous day.
Find the probability that a dry day is followed by,
(a)
two more dry days,
(b)
two wet days,
(c)
a wet day and then a dry day.
Show me
Exercises
1
A bag contains 3 red counters and 4 blue counters. Two counters are taken out of the bag. Find the probability that:
(a)
both counters are red,
Check
(b)
both counters are the same colour,
Check
(c)
the counters are different colours.
Check
2
A card is drawn at random from a full pack of playing cards. It is not put back. A second card is then drawn from the same pack.
(a)
Find the probability that:
(i)
both cards are hearts,
Check
(ii)
only one card is a heart,
Check
(iii)
neither card is a heart.
Check
(b)
Find the probability that:
(i)
both cards are sevens,
Check
(ii)
neither card is a seven,
Check
(iii)
at least one seven is obtained.
Check
3
The probability that a football team win their next match is:
⎧
⎨
⎩
0.3 if they won their last match,
0.8 if they lost their last match.
(a)
Find the probability that if a match is lost, the next two will be won.
Check
(b)
Find the probability that if a match is won, the next two will also be won.
Check
4
A pack of 24 cards contains 12 red cars, 8 yellow cards and 4 pink cards. In a game a player has to select two cards, one after the another. Find the probabilities that a player selects,
(a)
2 red cards,
Check
(b)
2 yellow cards,
Check
(c)
2 pink cards,
Check
(d)
2 cards that are the same colour,
Check
(e)
a pink card and a yellow card in any order.
Check
5
Nisha buys a bag of sweets. The bag contains 3 orange, 17 strawberry and 10 cherry flavour sweets. Nisha eats 3 sweets. Find the probability that she has:
(a)
not eaten an orange sweet,
Check
(b)
eaten 3 sweets of the same flavour,
Check
(c)
only eaten strawberry flavour sweets.
Check
6
Two yachts A and B regularly race against each other. In rough weather the probability that A wins is 0.8 and in fine weather 0.4. The probability of fine weather at a race is 0.7.
(a)
What is the probability that A wins a race?
Check
(b)
If there is a best of 3 races competition, what is the probability that A wins the competition?
Round up to 2 decimal places.
Check
7
Brian enjoys swimming. If it is a sunny day the probability that he swims is 0.9. It the day is not sunny, the probability that he swims is 0.65.
The probability that tomorrow will be sunny is 0.8.
Draw a tree diagram to illustrate this information.
Calculate the probability that Brian will not swim tomorrow.
Check
8
Wes gives Bronwen a box of 25 mixed sweets. 12 of the sweets have soft centres, 8 have toffee centres and 5 have hard centres. All of the sweets have identical wrappers. Bronwen chooses 2 sweets at random.
(a)
What is the probability that Bronwen will choose 2 toffee centred sweets?
Check
After they have eaten 3 soft centred sweets and 2 toffee centred sweets, Wes chooses 3 sweets at random from the 20 sweets that are left.
(b)
What is the probability that Wes will choose a soft centred sweet, followed by a toffee centred sweet, followed by a hard centred sweet?
Check
When there are only 10 sweets left, 3 have soft centres, 4 have toffee centres and 3 have hard centres. Bronwen chooses two sweets at random.
(c)
What is the probability that neither of the sweets will have a hard centre?
Check
9
The fast food chain Macduff's is running a competition.
You obtain a card with 12 circles covered up.
You are allowed to scratch off up to three circles.
You win if 2 or more PALM TREES are revealed.
You lose if two or more CRABS are found.
If you win, you scratch off one of the three squares to show your prize.
Step-by-step explanation:
help me out please !!!!!!!!!!!
Answer: A=2, B=5, C=4
Step-by-step explanation:
[tex]\frac{6x^{2}+13x-5}{x^{2}-16} \cdot \frac{x+4}{3x-1}\\\frac{(3x-1)(2x+5)}{(x-4)(x+4)} \cdot \frac{x+4}{3x-1}\\\frac{2x+5}{x-4}[/tex]
So A=2, B=5, and C=4.
3x^2-5x-4+x^3 in standard form
Answer:
x^3 +3x^2 - 5x - 4
Step-by-step explanation:
Have to rearrange the terms into the correct format from biggest exponent to no exponent. Basically!
HELP ME PLEASE
Find the midpoint of the line segment with endpoints (4, -5) and (6, -6).
A-(5, -5.5)
B-(-1, 0.5)
C-(-5.5, 5)
D-(-0.5, 1)
Answer: A (5, -5.5)
Step-by-step explanation: To find the midpoint of a line segment, you must know the formations of points. Two coordinates are made up of (x1, y1)(x2, y2). Now, to find the answer, you have to add the two x's (which is 4 and 6 = 10) and divide by 2 which equals 5. Now to find the y point, add both y's together. -5 + -6 = -11, and dividing by 2 gives you -5.5
Thus, the midpoint is (5, -5.5)
Answer:
the answer is option A. (5, -5.5)
I need help with the question below in the picture Please.
Answer:
the answer would be C
Step-by-step explanation:
To directly measure the distance across a river, Makayla stands on one side of the diagram below to show the lengths and angles that she measures. Find PR, the distance across the river. Round your answer to the nearest foot.
Answer:
287 ft
Step-by-step explanation:
Side lengths of similar triangles are proportional, so we can write and solve a proportion that will tell the length of PR.
ΔRPE ~ ΔOPC so ratios of corresponding sides are the same:
PR/PO = RE/OC
PR/(PR +165) = 235/370 . . . . . substitute known values
74·PR = 47·(PR +165) . . . . . . . . multiply by 74(PR +165)
27·PR = 7755 . . . . . . . . . . simplify, subtract 47·PR
PR = 287 2/9 . . . . . . . divide by 27
The distance across the river is about 287 feet.
Find the length of the hypotenuse of an isosceles right triangle of area 72cm square
Answer:
Step-by-step explanation:
The base and height will be the two equal sides of the isosceles right triangle.
⇒ b = h = x cm
[tex]Area \ of \ triangle = \dfrac{1}{2}bh[/tex]
[tex]\dfrac{1}{2}bh = 72 \ cm^{2}[/tex]
[tex]\dfrac{1}{2}*x*x=72\\\\\\\dfrac{1}{2}*x^{2}=72\\\\\\x^{2}=72*2\\\\x^{2}=144\\\\Take \ square \ root,\\\\\sqrt{x^{2}}=\sqrt{144}\\\\x = \sqrt{12*12}\\\\x = 12 cm[/tex]
Hypotenuse² = b² + h²
= 12² + 12²
= 144 + 144
= 288
hypotenuse = √288
= 16.97 cm
Answer:
[tex]\large{\boxed{\sf Hypotenuse = 16.97\ cm }}[/tex]
Step-by-step explanation:
Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .
[tex]\sf\qquad\longrightarrow Area =\dfrac{1}{2}(base)(height)\\ [/tex]
[tex]\sf\qquad\longrightarrow 72cm^2=\dfrac{1}{2}(x)(x)\\[/tex]
[tex]\sf\qquad\longrightarrow x^2= 144cm^2\\ [/tex]
[tex]\sf\qquad\longrightarrow x =\sqrt{144cm^2}\\ [/tex]
[tex]\sf\qquad\longrightarrow \pink{x = 12cm }[/tex]
Hence we may find hypotenuse using Pythagoras Theorem as ,
[tex]\sf\qquad\longrightarrow h =\sqrt{ p^2+b^2} [/tex]
Here p = b = 12cm ,[tex]\sf\qquad\longrightarrow h =\sqrt{ (12cm)^2+(12cm)^2}\\[/tex]
[tex]\sf\qquad\longrightarrow h =\sqrt{144cm^2+144cm^2}\\[/tex]
[tex]\sf\qquad\longrightarrow h =\sqrt{288cm^2}\\[/tex]
[tex]\sf\qquad\longrightarrow \pink{ hypotenuse= 16.97cm }[/tex]
Hence the hypotenuse is 16.97 cm .
Write an exponential function in the form y=ab^x that goes through points (0, 18) and (9,9216).
[tex]y=ab^x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{x=0\qquad y=18}\qquad 18=ab^0\implies 18=a(1)\implies 18=a~\hfill \underline{y=18b^x} \\\\\\ \stackrel{\textit{we also know that}}{x=9\qquad y=9216}\qquad 9216=18b^9\implies \cfrac{9216}{18}=b^9 \\\\\\ 512=b^9\implies \sqrt[9]{512}=b\implies 2=b~\hfill \underline{y=18(2)^x}[/tex]
Determine wether the following equation represent an exponential function. Explain.
f(x)=2x+1
Answer:
Step-by-step explanation:
f(x)=2x+1 is a linear function, and not a exponential function.
This is because exponential functions, usually have exponents (exponential). It would look more like a roller coaster. It's either going up, or down.
Also, view attached graph for clarification.
Hope this helps!
Find The Slope of the line, Please help!
Answer:
Top left point: (-2,3)
Bottom right point: (2,-4)
Slope = (-4 - 3)/(2- -2) = -7/4
Step-by-step explanation:
You may want to visit my you tube channel "Sciency Sergei" to see if anything is of interest to you. You may also suggest topic to discuss or problem to solve.
Please help, I’ll mark your answer as brainliest.
Answer:
x = - [tex]\frac{13}{2}[/tex] - [tex]\sqrt{157}[/tex]/ 2 or
x= - 13/2 + [tex]\sqrt{157}[/tex]/ 2
Step-by-step explanation:
1- Substitute and calculate
if you don't want to give me brainlist its okay I don't mind I just like helping people with their problems
Solve the quadratic equation numerically (using tables of x- and y- values). (x +2) (x + 3) = 12
sorry bro i let my brother try to solve random problems on here
Answer:
[tex]x=-6,\: x=1[/tex]
Step-by-step explanation:
[tex](x+2)(x+3)=12\\\\x^2+5x+6=12\\\\x^2+5x-6=0\\\\(x+6)(x-1)=0\\\\x=-6,\: x=1[/tex]
What’s the answer? #14
No, it is not an exponential function.
quadrilateral WXYZ is dilated by a scale factor of 2/3 to form quadrilateral W’X’Y’Z’. what is the measure of side ZW?
Mr. Gardner is making 6 treat bags. He has 185 chocolate covered raisins to share evenly among the teat bags. How many chocolate covered raisins will be in each bag? And how many will be left over?
Answer:
30 Chocolate covered raisins will be in each bag and 5 will be left over.
Step-by-step explanation:
In order to solve this, you must divide the number of Chocolate covered raisins by the number of bags you are making. 185 divided by 6 is 30 with 5 left over.
If sine theta almost-equals 0. 3090 , what is the approximate value of csc Theta? 0. 5559 1. 3090 3. 2362 10. 4733.
Reciprocal of trigonometric ratios are also trigonometric ratios. The approximate value of csc(θ) for the corresponding given value of sin(θ) is given by: Option: C: 3.2362
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
Thus, we see that [tex]\sin(\theta) = \dfrac{1}{\csc{\theta}}[/tex] for a specific angle θ, we get:
Actually, reciprocal of each trigonometric ratio will be a trigonometric ratio, for specific angle.
For the considered case, we're given that,
[tex]\sin(\theta) \approx 0.3090[/tex]
[tex]\sin(\theta) = \dfrac{1}{\csc(\theta)}\\\\\csc(\theta) = \dfrac{1}{\sin(\theta)} \approx\dfrac{1}{0.3090} \approx 3.2362[/tex]
Thus, the approximate value of csc(θ) for the corresponding given value of sin(θ) is given by: Option: C: 3.2362
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
The value of csc(θ) is 3.2362.
We have given that
sin(θ)=0. 3090
Now we have to find that what is the value of csc(θ)
What is the relation between cos(θ)and sin(θ)
csc(θ)=1/sin(θ)........(1)
Therefore by using (1)
csc(θ)=1/0. 3090........ use the value of sin(θ)
So simplify above we get,
csc(θ)=3.2362
Therefore we get
The value of csc(θ) is 3.2362.
To learn more about the trigonometric identities visit:
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Imagine telling a friend about your favorite coffee and donut shop. Your friend asks how much it charges for a cup of coffee and a doughnut. While you can't remember how much each one costs individually, you do remember that's the last time you ordered one coffee and two donuts, your bill was $7.00. And today, when you bought two coffees and three Donuts, your bill came to $12.00.
Write a system of linear equations to represent the above situation.
Answer:
c + 2d = $7.00
2c + 3d = $12.00
Step-by-step explanation:
Hello!
Let:
c = # of coffeesd = # of donuts1 coffee and 2 donuts cost $7.00
This can be repesented by 1c + 2d = $7.00, or c + 2d = $7.00
2 coffees and 3 donuts cost $12.00
This can be represented by 2c + 3d = $12.00
So, the system is :
c + 2d = $7.00
2c + 3d = $12.00
The table gives the vertices of a preimage and its image under what transformation? (x, y) (?, ?)
Preimage
(3, -5)
(5, 1)
(1,3)
(-1,-1)
(-1,-4)
Image
(2-8)
(4,-2)
(0, 0)
(-2,-4)
(-2,7)
Tara bought 2 bottles of jucie a day for 15 days. on the 16th day, Tara bought 7 bottles write an expression that matches the words
Answer:
15 x 2 + 7
Step-by-step explanation:
Tara bought 2 bottles for 15 day.
Total bottles bought = 15 x 2
Tara bought 7 bottles on the 16th day:
Total bottles bought = 15 x 2 + 7
Please help I will give brainliest.
Answer:
2 and 5
Step-by-step explanation:
Please help quickly please
Answer:
I believe the answer you want would be 40 and 7
Answer:
40 and 7
Step-by-step explanation:
Its obvious
Which statement is a TRUE statement about rectangles?
A. The angles in a rectangle are all different.
B. The sides in a rectangle are not parallel.
C. The opposite sides in a rectangle are equal.
D. All the sides in a rectangle are equal.
I NEED THE ANSWER FAST PLS!
the answer is c.C. The opposite sides in a rectangle are equal.
Answer:
I think is C
Step-by-step explanation:
well i just know
Which type of wetland includes a mixture of salt water and fresh water?
1bogs
2swamps
3inland marshes
4 coastal wetlands PLEASE HELP NOW ON A TIMER AND NEEEEEEED ANSWERS NOW!!! MAKING BRAINLIEST
Answer:
coastal wetlands
Step-by-step explanation:
Have a great day <3
1 gal 1 c = __ fl oz HELP THIS IS DUE TOMORROW 3/15/22
Which algebraic rule describes the reflection of F,G?
Answer:
A. (x,y)-(-x,y)
Step-by-step explanation:
1. Look at the first FG, It is Positive X and Positive Y
2. A reflection is simply flipping something to the opposite side, So now look at which part the 2nd FG is.
3. Now as we notice the G is in the Negative X, So that would be -X, But then when we look at the Y, It is in the positives!
Use the law of cosines
6. Two flying drones leave an airport at the same time. The heading of the
first is 120° and the heading of the second 320. If the drones are traveling
at 80 and 50 mph respectively, how far apart will they be after 1 hour?
The flying drones are illustrations of the laws of cosines
Both flying drones would be 128.13 meters apart after 1 hour
How to determine the distance between themFor drone A, we have:
Angle =120 degreesSpeed = 80 mphSo, the distance after one hour is:
Distance = 80 m
The distance is calculated using:
Distance = Speed * Time
For drone B, we have:
Angle = 320 degreesSpeed = 50 mphSo, the distance after one hour is:
Distance = 50 m
The angle between them is calculated as:
[tex]\theta = 360 -(320 - 120)[/tex]
This gives
[tex]\theta =160[/tex]
Using the laws of cosine, the distance (d) between them after 1 hour is:
[tex]d = \sqrt{a^2 + b^2 -2ab\cos(\theta)}[/tex]
So, we have:
[tex]d = \sqrt{80^2 + 50^2 -2*80 *50\cos(160)}[/tex]
Evaluate the expression
[tex]d = 128.13[/tex]
Hence, both drones would be 128.13 meters apart after 1 hour
Read more about laws of cosines at:
https://brainly.com/question/4372174
2) you pick 2 cards from a deck. What is the probability that both are diamonds ?.
Find the value of x in the image below
Answer: 10.5
Step-by-step explanation:
If cos8x = 13/36 find the value of cos4x.
The value of cos 4x from the given identity is 0.999
Trigonometry identityGiven the cosine identity
cos8x = 13/36
Determine the value of x
8x = arccos(13/36)
8x = 0.36111
x = 0.36111/8
x = 0.04514
Determine the value of cos4x
cos4x = cos4(0.04514)
cos4(0.04514) = 0.999
Hence the value of cos 4x from the given identity is 0.999
Learn more trig identity here; https://brainly.com/question/7331447
A bookstore has paperback books marked down 25% You choose four books that usually sell for;
$8.95
$9.55
$6.85
$12.95
(A): total markdown, find total markdown
(B): Find total sale price.
