[tex]\log_4 (2-x) = \log_4 (-5x-18)\\\\\implies 2-x = -5x -18\\\\\implies 5x -x = -18-2\\\\\implies 4x = -20\\\\\implies x = -\dfrac {20}4\\\\\implies x = -5[/tex]
Some red, white, and blue candies
were placed in a bowl. Some contain nuts,
and some do not. Suppose one of the candies were chosen randomly from all
the candies in the bowl.
probability?
Which of the following represents a conditional
O A. The probability that it does not contain any nuts, given that the
candy is red
B. The probability that it contains nuts and is white
O c. The probability that the candy is not red
• D. The probability that the candy is blue
Reason:
The keyword "given" is a universal indicator we're dealing with conditional probabilities. It sets up prior knowledge to reduce down the sample space.
The fact that we know the candy is red means that we only focus on the red candies (and shrinks down the set).
Conditional probability is represented by probability that the candy is blue.
What is Conditional Probability?One of the fundamental ideas in probability theory is the idea of the conditional probability formula. The conditional probability formula calculates the likelihood of an event, say B, given the occurrence of another event, say A.
By knowing the conditional probability of event B given that event A has occurred and the individual probabilities of events A and B, the Bayes theorem may be used to calculate the conditional likelihood of event A given that event B has occurred.
We have,
Some red, white, and blue candies were placed in a bowl.
Some contain nuts, and some do not.
Here we are only focusing on the red candy which shows we have reduce the sample space.
Learn more about conditional probability here:
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12 people are waiting at a subway stop to get on the train. However, the train only has space for 9 people to board. How many different combinations of people can get on the train?
220
220
1,320
1,320
13,305,600
13,305,600
79,833,600
79,833,600
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One calculator is discounted by 30% and now costs $42
another is discounted by 25% and now costs $42 dollars as well
which calculator had the cheaper original price? How much cheaper?
Tuesday he used 3/5 as many of 1/8
Answer:
19/40 = 0.475 You can use either the fraction or the decimal
Step-by-step explanation:
3/5 - 1/8 = 3 · 8/5 · 8 - 1 · 5/8 · 5 = 24/40 - 5/40 = 24 - 5/40 = 19/40
Answer:
[tex] \frac{3}{5} - \frac{1}{8} = \frac{19}{40} [/tex]
TOTAL:
=0.475
Step-by-step explanation:
3/5 - 1/8 = 3.8/5.8 - 1.5/8.5 = 24/40
- 5/40 = 24-5/40 - 24-6/40 =19/40
✿For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 8) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 8 = 40. In the following intermediate step, it cannot further simplify the fraction result by canceling.
What is the total amount Mrs. Harrison will pay back
Answer:
You have to give a reference or a picture or a number or something.
Step-by-step explanation:
We can't guess what the numbers are you have to state them.
Answer:
$654
No explanation! sorry!
Volume of cones
A cone has a height of 15 meters and a diameter of 12 meters. What is its volume?
Use = 3.14 and round your answer to the nearest hundredth.
Answer:
150.72
Step-by-step explanation:
Answer:
it will 3.14.
Step-by-step explanation:
there is no number after 4
Name r 13 EUA 18. Find the measure of angle A Date Period A 16 139° B A= 13 20 19. Solve the triangle ABC with side lengths a = 14cm, b = 9cm, c = 6cm a = A= b = B= C= C =
Answer:
A = 137° a = 14 cm
B = 26° b = 9 cm
C = 17° c = 6 cm
Step-by-step explanation:
Cosine rule
[tex]c^2=a^2+b^2-2ab\cos (C)[/tex]
[tex]\implies C=\cos^{-1}\left(\dfrac{c^2-a^2-b^2}{-2ab}\right)[/tex]
where:
c is the side opposite angle Ca and b are the sides with C as the included angle.Given:
a = 14 cmb = 9 cmc = 6 cm[tex]\implies C=\cos^{-1}\left(\dfrac{6^2-14^2-9^2}{-2(14)(9)}\right)[/tex]
[tex]\implies C=\cos^{-1}\left(\dfrac{241}{252}\right)[/tex]
[tex]\implies C=16.99128694..\textdegree[/tex]
Sine Rule
[tex]\sf \dfrac{sinA}{a}=\dfrac{sinB}{b}=\dfrac{sinC}{c}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\sf \implies \dfrac{sinB}{9}=\dfrac{sin(16.991..)}{6}[/tex]
[tex]\sf \implies B=sin^{-1}\left(\dfrac{9sin(16.991..)}{6}\right)=25.99797699...\textdegree[/tex]
Sum of interior angles of a triangle = 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ ∠A = 180° - 25.997...° - 16.9912...°
⇒ ∠A = 137.0107361...°
Using the tools from before, what is the theoretical probabilty of spinning an even number and rolling an odd number?
A bag contains green and black counters.
1
-
4
of the counters are black
Write the ratio of green to black counters.
Answer:
3:1
Step-by-step explanation:
if 1/4 of the counters are black then it means the total counters are 4 and so there are 3 remaining and those become the green counters
The ratio of green to black counters is 3:1
What is the Ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that A bag contains green and black counters, 1/4 of the counters are black.
Since, 1/4 is black counters therefore, 1 - 1/4 are green counters
So, there are 3/4 green counters
Ratio = (3/4)/(1/4) = 3/1 3:1
Hence, The ratio of green to black counters is 3:1
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Triangle ABC has vertices at (5, 0), (- 1, - 4) , and (3, - 6) . What is the perimeter of ABC , rounded to two decimal places ?
Answer:
18.01 units to 2 dec. places.
Step-by-step explanation:
Calculate the length of the 3 lines of the triangle
AB = √ [(5 --1)^2 + ( 0 - -4)^2]
= √(36 + 16)
= √52
= 7.211.
BC = √ [(-1-3)^2 + (-4- -6)^2]
= √(16 + 4)
= √20
= 4.472.
CA = √ [(3-5)^2 + (-6-0)^2]
= √(4 + 36)
= √40
= 6.325.
So the perimeter = 7.211 + 4.472 + 6.325
= 18.008
Tyrone wants to know how much wrapping paper is
needed to cover a box with the dimensions shown,
1 in
6 in
1 in
3 in 1 in 11n
3 in
1 in
3 in
What is the surface area of the box?
A. 48 square inches
B. 27 square inches
O C. 18 square inches
D. 54 square inches
Please help quick! :)
Answer:18
Step-by-step explanation:
Find the volume of the sphere, round your answer to the nearest tenth
Answer:
904.8 units^3
Step-by-step explanation:
The formula for the area of a circle is [tex]4/3 \pi r^3[/tex]
By the picture we know r = 6
Thus our answer is 4/3 * π * [tex]6^3[/tex]
This is the same as 4/3 * 216 * π = 904.778684234
Rounding to the nearest tenth yields 904.8 units^3
The circumference of the circle is 87.92 cm. What is the diameter? (Use 3.14 for .)
Answer: The diameter is 28cm
Step-by-step explanation:
Circumference is [tex]2\pi r[/tex] where r is the radius or just [tex]\pi d[/tex] where d is the diameter. For this, we'll use the one with the diameter.
[tex]87.92=3.14d\\\frac{87.92}{3.14} =\frac{3.14d}{3.14} \\28=d[/tex]
This angle cuts out
4
9
of the circle. Find the measure of the angle
Is it possible that a packet of candies does not divide into 9 equal parts, but rather divides into 3 equal parts? Give an example with your answer.
Answer:
Yes, if there are 6 candies it can be divided equally by 3 and not 9.
Step-by-step explanation:
What two equivalent fractions for 8/8?
Answer:
2/2. and 4/4
Step-by-step explanation:
because 8/8 is 1 and 2/2 and 4/4 are both 1 .
do u mind giving me brainlest im trying to level up.
thank u
A school collects data to determine the favorite sport among seventh graders at middle school. Which sampling method produces an unbiased representative sample of the population?
Answer:
A random sample is meant to be an unbiased representation of the larger population.
Fill in the blanks for the formula used
to find the percent change between
an old value and a new value.
Old Value
New Value
Answer:
[tex]\text{\% change}=\dfrac{(\text{New value})-(\text{Old value})}{\text{Old value}}[/tex]
Step-by-step explanation:
A percentage change is quotient of the difference between the new value and old value, and the old value. That fraction is expressed as a percentage in the usual way.
__
Here, the problem statement tells you to fill in the blanks with "NOO."
[tex]\text{\% change}=\dfrac{(\textbf{N}\text{ew value})-(\textbf{O}\text{ld value})}{\textbf{O}\text{ld value}}\times100\%[/tex]
Please help this is due in the morning
Step-by-step explanation:
Using the Theorem,
LN*NL = KN*NJ
(7x-11)*14 = 16*(3x+6)
98x - 154 = 48x + 96
98x-48x = 96+154
50x = 250
x= 250/50
x= 5 MARK ME AS BRAINLISTSam Martin makes $7 per hour and works 40 hours per week. What would be the amount of his bi-weekly gross paycheck? _______________________________
Answer:
13,440 per year.
Step-by-step explanation:
His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants. (LoL)
Some of the dimensions of a square pyramid are shown in the diagram. The height of the square pyramid is 5.1 meters.
What is the volume of the square pyramid in cubic meters?
60 m3
40 m3
360 m3
120 m3
Answer:
27.2 m³
Step-by-step explanation:
Given:
Base edge = 4 mHeight = 5.1 metersFormula:
[tex](\text{Base edge})^{2} \times \dfrac{\text{Height}}{3}[/tex]
Replace the base edge and the height in the formula:
[tex]\implies (\text{4})^{2} \times \dfrac{\text{5.1}}{3}[/tex]
Evaluate the volume of the prism:
[tex]\implies (\text{4})(4) \times 1.7[/tex]
[tex]\implies 16 \times 1.7[/tex]
[tex]\implies 27.2 \ \text{m}^{3}[/tex]
Answer:
27.2 cm³
Step-by-step explanation:
Volume of a square pyramid
[tex]\sf V=\dfrac13a^2h[/tex]
where:
a is the base edgeh is the heightGiven:
a = 4 mh = 5.1 m[tex]\sf \implies Volume=\dfrac13\cdot 4^2\cdot5.1=27.2\;cm^3[/tex]
What is the axis of symmetry for y=8x² + 2x - 6?
A ladder 15 feet long leans against a house and makes an angle
of 60° with the ground. Find the distance from the house to the
foot of the ladder.
A 13 feet
)
B 7.5 feet
C 10 feet
D
8.2 feet
Answer:
B
Step-by-step explanation:
assume a right angle between the house and the ground.
then the ladder is the hypotenuse and distance from ladder to house is d
using the cosine ratio in the right triangle and the exact value
cos60° = [tex]\frac{1}{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{d}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 15 ( divide both sides by 2 )
x = 7.5
distance from house to foot of ladder is 7.5 feet
Yael worked out at the gym for 2 hours. Her workout consisted of stretching for 21 minutes, jogging for 45 minutes, and lifting weights for the remaining amount of time. What percentage of Yael's workout was spent lifting weights?
Answer:
54
Step-by-step explanation:
Well you have 120 minutes at the gym
Minus 21 minutes for stretching
Minus Jogging for 45 minutes
120-66=54
So 54 minutes spent lifting
PLEASE HELP (easy points)
Answer:
the first one i think
Step-by-step explanation:
99 like Sorbet
94 like Rocky Road and Berry
96 like Rocky Road
96 like Sorbet and Berry
99 like Berry
93 like all three
95 like Sorbet and Rocky Road
How many people prefer:
(a) none of the three?
(b) Sorbet, but not Rocky Road?
(c) Anything but Berry?
(d) only Rocky Road?
(e) Exactly two kinds of ice cream?
WILL GIVE BRAINLIEST PLLSSSS!!!!!
Answer:
b
Step-by-step explanation:
20/3=x/6 what does X equal
Answer:
x equals 40 since 3 × 2 is 6 you do 20 × 2 which is 40
Which statement is the correct interepration of the inequality -3>-4?
Answer:
-3>-4 is correct
Step-by-step explanation:
A train traveled 1/5 of the distance between two cities and 3/4 of an hour at this rate how many hours will it take the train to travel the entire distance between these 230
Answer:
15/4 or 3 3/4
Step-by-step explanation:
since 1/5 has 1 as a numerator,
5 x 3/4=
15/4
it will take about 3 hours and 45 minutes
HELP HELPPP WITH THIS NOWW
Answer:
1. ≈301.6
2.≈10210.18
Step-by-step explanation:
1. A=2πrh+2πr2=2·π·4·8+2·π·42≈301.59289
A=2πrh+2πr2=2·π·25·40+2·π·252≈10210.17612