Answer:
12
Step-by-step explanation:
Sorry if the photo is bad :)
So, before solving further, let's recall that, a deck of card have 52 cards, with 26 black cards, and 26 red cards, out of which, let's first consider red cards,so 13 of 26 are heart, and the other 13 out of 26 is diamond, now let's consider the black cards, so 13 of 26 black cards are spades and the other 13 out of 26 black cards are clubs, every type have an ace card, and 9 cards numbering from 2-10 and three face cards naming, queen, king and Jack. And the probability of any event is defined as the ratio of no. of favourable outcomes to Total no. of possible outcomes, so let's stary solving all the parts one by one :
7) [tex]{:\implies \quad \sf P(Red\:\:card)=\dfrac{26}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Red\:\:card)=\dfrac12}}}[/tex]
8) [tex]{:\implies \quad \sf P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}}}[/tex]
9) [tex]{:\implies \quad \sf P(Ace)=\dfrac{4}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Ace)=\dfrac{1}{13}}}}[/tex]
10) [tex]{:\implies \quad \sf P(A\:\:black\:\:10)=\dfrac{2}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(A\:\:black\:\:10)=\dfrac{1}{26}}}}[/tex]
11) [tex]{:\implies \quad \sf P(A\:\:heart)=\dfrac{13}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(A\:\:heart)=\dfrac14}}}[/tex]
12) [tex]{:\implies \quad \sf P(Not\:\:a\:\:club)=\dfrac{39}{52}}[/tex]
[tex]{:\implies \quad \boxed{\bf{P(Not\:\:a\:\:club)=\dfrac34}}}[/tex]
Please help me asap with my grade 11 trigonometry math! I'll give brainliest, please help, thank you. *URGENT*
Answer:
Around 295m
Step-by-step explanation:
Answer:
295.44 m to the neaest hundredth
Step-by-step explanation:
A line drawn from the kite perpendicular to the ground forms 2 right triangles. Let this line be x m.
Also let y be the distance from Allison to the bottom of the line.
Consider 'Alison' triangle
cos 70 = y/150
y = 51.303 m
sin 70 = x/150
x = 150 sin 70 = 140.954 m
Consider 'Marcs' triangle
tan 30 = x / (AM - y)
tan 30 = 140.954 / (AM - 51.303)
AM - 51.303 = 140.954/tan 30
AM = 140.954/tan 30 + 51.303
AM = 295.442 m
7 The scouts are collecting canned food to donate to the food bank. Their goal is to
collect 550 cans of food. By the end of the first hour, they had collected 13 bags with
16 cans of food in each bag. By the end of the second hour, they had collected 12
more bags with 15 cans of food in each bag. How many more cans of food do they
need to collect to meet their goal of 550? Show all your work.
The scouts need to collect
more cans of food to meet their goal of 550.
Answer:
162 Cans more to reach goal of 550 cans.
Step-by-step explanation:
See attached image for the calculations
A jar contains nine black buttons and four brown buttons. If nine buttons are picked
at random, what is the probability that all of them are black?
Answer:
9/13
Step-by-step explanation:
Total = 9 + 4
= 13
Probability: 9/13
The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. the stopping distances and speeds are shown in the table below. stopping distance of a car vs. speed stopping distance, d (in feet) speed, s (in miles per hour) 20 17.89 40 25.30 60 30.98 80 35.78 100 40.00 which equation best represents the data in the table? s = 4 startroot d endroot s = 0.37 d 20 s = 13.7log(d) s = startfraction 1 over 25 endfraction d squared
Answer:
The answer is (A.)
Step-by-step explanation:
Answer: A on edge 22
Step-by-step explanation:
Hakeem buys a two-gallon bottle of juice for $25.60. What is the unit rate of the cost
of the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup=8 fluid ounces
-
Before you try that problem, answer the question below.
How many fluid ounces of juice did Hakeem buy?
try
Answer:
256 fluid ounces
Step-by-step explanation:
2 gallons = 8 quarts
8 quarts = 18 pints
18 pints = 32 cups
32 cups = 256 fluid ounces
1 gallon = 4 quarts x 2 that's 2 gallons = 8 quarts
1 quarts = 2 pints x 8 that's 8 quarts = 16 pints
1 pints = 2 cups x 16 that's 16 pints = 32 cups
1 cup = 8 fluid ounces x 32 that's 32 cups = 256 fluid ounces
what is the solution to the exponential equation 8x = 1/4
Divide each term in
8x=1/4 by 8 and simplify.
Exact Form: x=1/32
Decimal Form: x=0.03125
[tex]~~~8^x = \dfrac 14\\\\\implies 2^{3x} = 2^{-2}\\\\\implies 3x = -2 \\\\\implies x = -\dfrac 23[/tex]
Consider the following regular octagon below
Answer:
The answer is given in the picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
The formula for interior angle of any polygon is (n-2) x 180 / n where n is the number of sides.
An octagon has 8 sides:
Part A.
interior angle = (8-2) x 180 /8
Interior angle = 135 degrees
Part B.
3x -57 = 135
Add 57 to both sides:
3x = 192
Divide both sides by 3:
X = 64
Write a rule for the nth term of the geometric sequence for which a1=11 and a4=88
Answer:
[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
given a₁ = 11 and a₄ = 88 , then
11 r³ = 88 ( divide both sides by 8 )
r³ = 8 ( take cube root of both sides )
r = [tex]\sqrt[3]{8}[/tex] = 2 , then the nth term is
[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]
What is the determinant of the coefficient matrix of the system?
Answer:
0Step-by-step explanation:
the explanation is in the picture
Find the volume of the cylinder.
Either enter an exact answer in terms of pi or use 3.14 for pi
Volume of cylinder,=πr²h
(22÷7)×5²×3
3.14×25×3
235.5
Answer :
235.5 units³
A trail mix contains raisin, peanut, and chocolate.
The ratio of raisin to peanut is 2:3 and the ratio
of peanut to chocolate is 5:8. What is the ratio
of raisin to chocolate?
2: 13.333 or 2: 13
multiply the 8 by 5/3 to combine the terms
If you borrow $500 at 5% for two years, how much will you pay backboy the end of the term?
Interest be I
I=PRT/100I=500(5)(2)/100I=5²(2)I=25(2)I=$50Total:-
P+I500+50$550Tyler swam for 230 minutes during his first week of vacation. In his two weeks of vacation, he swam for a total of 539 minutes. How many more minutes did he swim for in the second week than in the first week?
Answer:
79 minutes.
Step-by-step explanation:
Look below me for a further explanation he/she is correct.
Answer:
79 minutes.
Step-by-step explanation:
539 - 230 is 309. Tyler swam 309 inutes the 2nd week and 230 minutes the first week.309 - 230 is 79 minutes. Tyler swam 79 minutes more in the 2nd week than in the first week.
Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. Show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.
Select the correct answer from each drop-down menu.
When a figure is translated, its orlentation
and the measures of its angles
Answer:
Not sure wha the options are, but is it "When a figure is translated, its orientation changes and the measure of its angles stays the same"
there isnt the word bank because you did not take a photo with the dropdown menu
HELP NEEDED NOW/ASAP PLS NO LINKS AND NO JOCKING.
AND PLS SHOW UR WORK IF POSSIBLE
evaluate (-3 1/3)^2
[tex]\\ \rm\Rrightarrow (-3\dfrac{1}{3})^2[/tex]
[tex]\\ \rm\Rrightarrow (\dfrac{-10}{3})^2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{(-10)^2}{3^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{100}{9}[/tex]
[tex]\\ \rm\Rrightarrow 11\dfrac{1}{9}[/tex]
Answer:
100/9 (or) 11 1/9
Step-by-step explanation:
Q) (-3 1/3)² = ?
→ (-3 1/3)²
→ (-10/3)²
→ 100/9
→ [ 11 1/9 ]
Hence, the solution is 11 1/9.
A
xxx-coordinate of point AAA
(Choice B)
B
yyy-coordinate of point AAA
(Choice C)
C
xxx-coordinate of point BBB
(Choice D)
D
yyy-coordinate of point BBB
(Choice E)
E
xxx-coordinate of point CCC
(Choice F)
F
yyy-coordinate of point CC
The coordinate point of a point is the location (i.e. the x and y location) on the coordinate plane
The x-coordinate of point AFrom the complete question (see attachment), the coordinate of point A is:
A = (-4,1)
This means that the x-coordinate of point A is -4
The y-coordinate of point AIn (a), we have the coordinate of point A to be
A = (-4,1)
This means that the y-coordinate of point A is 1
The x-coordinate of point BFrom the complete question, the coordinate of point B is:
B = (3,-2)
This means that the x-coordinate of point B is 3
The y-coordinate of point BIn (c), we have the coordinate of point B to be
B = (3,-2)
This means that the y-coordinate of point B is -2
The x-coordinate of point CFrom the complete question, the x-coordinate of point C is the same as the x-coordinate of point A
Given that the x-coordinate of point A is -4
This means that the x-coordinate of point C is -4
The y-coordinate of point CFrom the complete question, the y-coordinate of point C is the same as the y-coordinate of point B
Given that the y-coordinate of point B is -2
This means that the y-coordinate of point C is -2
#SPJ1
Read more about coordinate points at:
https://brainly.com/question/17206319
What is the lateral area of the prism? What is the surface area of the prism?
Answer:
Lateral surface area=perimeter×Height
Total surface area=Perimeter (p)×Height(h)+2×Area of cross section
Michael is studying two number patterns. Pattern A starts at 0 and has the rule "add 4. " Pattern B starts at 0 and has the rule "add 2. " What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are one half the corresponding terms in Pattern A.
The terms in Pattern B are one fourth the corresponding terms in Pattern A.
The terms in Pattern B are 4 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A
Answer:
B
Step-by-step explanation:
please mark brainliest
In need of help, please help before tomorrow
Answer:
D
Step-by-step explanation:
TREES A redwood tree can grow to be
about six times as tall as a pine tree.
Suppose a common pine tree measures
about 56 feet tall. Write and solve an
equation it to find the approximate
height of a redwood tree.
Answer:
336 feet
Step-by-step explanation:
We can multiply to solve this :)
56 x 6 = 336
Have an amazing day!!
Please rate and mark brainliest!!
Need help math problem
Answer:
Question 16: 44 inches
Question 18: 10, 24, 26
Step-by-step explanation:
Question 16:
Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side.
125^2 = 117^2 + b^2
15,625 = 13,689 + b^2
15,625 - 13689 = b^2
1936 = b^2
√1936 = b
44 = b
Question 18:
Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side. You have to try all the possibilities. The ones that match are the lengths.
The answers are 10, 24, 26
c^2 = a^2 + b^2
26^2 = 10^2 + 24^2
676 = 100 + 576
676 = 676
A landscaping company uses a mixture of 20 pounds of grass seed and 356 pounds of fertilizer when reseeding a customer's lawn.
How many pounds of fertilizer will the company need for each pound of grass seed?
O A. 20
O B. 5. 6
O C. 16. 0
D. 17. 8
Answer:
D
Step-by-step explanation:
for 20 pounds of grass seed, we need 356 pounds of fertilizer
20 pounds of grass seed : 356 pounds of fertilizer
divide both sides by 20 to get 1 pound of grass seed on one side, as we want to figure out the corresponding amount of fertilizer for 1 pound of grass seed
20 pounds of grass seed/20 : 356 pounds of fertilizer/20
1 pound of grass seed: 17.8 pounds of fertilizer
The front of an A-frame house is in the shape of a triangle. The height of the house is 20 feet. The area of the front of the A-frame is 600 square feet. What is the length of the base of this house?
Answer: the lenght is 30 feet
Step-by-step explanation:
if this is hight times lenght then yea it should be 30 feet
The ellipse with the equation 9x2 + 16y2 = 144 ________.
a. is in Position II
b. has no symmetry
c. is in Position I
d. has no foci
Please help me figure out how to determine this!!
The ellipse with the equation stated above is:
Position I (Option C )
An ellipse is a circle that has been extended in one direction such that it is no longer a circle but an oval.
Solution
In order to determine the position of the ellipse with the above equation, we can start by simplifying the equation.
Hence, 9x² + 16y = 144 becomes
x²/16 + y²/9 = 1 (We arrive at this by dividing both sides of the equation by 144);
The x-axis is the major axis because the biggest denominator is under the x² term.
Thus the coordinates of the vertices are as follows:
(± a, 0); (0, ± b)
Hence:
a² = 16 → a = 4
b² = 4 → b = 2
Hence the coordinates are:
(± 4, 0); (0, ± 2)
Given the above, the eccentricity is given as:
e = √(1 - (3/4)^2 = (√7)/4 = 0.6614378
Hence the ellipse is: 0.66
Learn more about Ellipse at:
https://brainly.com/question/2284093
Bertha bought a cake that weighs 7 kilograms. Jessup's cake weighs 6,537 grams.
A. Jessup’s cake weighs more than Bertha’s cake.
B. The expression 7 x 1,000 can be used to find the weight of
Bertha’s cake in grams.
C. Bertha’s cake weighs 463 grams more than Jessup’s cake.
D. Jessup’s cake weighs more than 6 kilograms.
Solve this equation. Enter your answer in the box.
-24 + 12d= 2(d-3)+22
[tex]-24 + 12d= 2(d-3)+22\\\\\implies -24 +12d = 2d-6 +22\\\\\implies 12d-2d-24+6-22 = 0\\\\\implies 10d -40=0 \\\\\implies d = \dfrac{40}{10} = 4\\\\[/tex]
Answer:
[tex]\boxed{\sf{d=4}}[/tex]Step-by-step explanation:
In order to solve this equation, you must isolate it on one side of the equation.
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC⇒ -24+12d=2(d-3)+22
Multiply.
⇒ 2(d-3)+22
⇒ 2d-2*3
⇒ 2*3=6
⇒ 2d-6
Rewrite the problem down.
⇒ 2d-6+22
⇒ -6+22=16
⇒ 2d+16
⇒ -24+12d=2d+16
Then, you add by 24 from both sides.
⇒ -24+12d+24=2d+16+24
Solve.
⇒ 12d=2d+40
Subtract by 2d from both sides.
⇒ 12d-2d=2d+40-2d
Solve.
⇒ 12d-2d=10d
⇒ 10d=40
Divide by 10 from both sides.
⇒ 10d/10=40/10
Solve.
Divide the numbers from left to right.
⇒ 40/10=4
[tex]\Longrightarrow:\boxed{\sf{d=4}}[/tex]
Therefore, the correct answer is d=4.I hope this helps! Let me know if you have any questions.
NEED HELP PLEASE!!!!
The expressions are equivalent.
[tex] \sqrt{ \frac{2x}{9} } = \frac{ \sqrt{2x} }{ \sqrt{9} } = \frac{ \sqrt{2x} }{3} = \frac{1}{3} \sqrt{2x} \\ [/tex]
Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x 1 out of a larger piece of paper. which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4? (5x−2) (3x 1); 31 centimeters (5x−2) (3x 1); 36 centimeters 2(5x−2) 2(3x 1); 62 centimeters 2(5x−2) 2(3x 1); 70 centimeters
The expression that can be used to find the perimeter of the rectangle is 62 centimeters 2(5x−2)+2(3x+1).
What is the perimeter of the rectangle?The perimeter of the rectangle is equal to the 2 times sum of the length and width of the rectangle.
Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper.
The expression that can be used to find the perimeter of the rectangle is given by;
[tex]\rm Perimeter \ of \ rectangle = 2 (length +width)\\\\\rm Perimeter \ of \ rectangle = 2 (5x-2+3x+1)\\\\ \rm Perimeter \ of \ rectangle = 2 (7x-1)\\\\ \rm Perimeter \ of \ rectangle = 16x-2\\\\When , x\ =\ 4\\\\ \rm Perimeter \ of \ rectangle = 14x-2\ = 16(4)-2\ =\ 64-2\ =\ 62\\[/tex]
Hence, the expression that can be used to find the perimeter of the rectangle is 62 centimeters 2(5x−2)+2(3x+1).
To know more about the perimeter of the rectangle click the link given below.
https://brainly.com/question/11935054