Answer:
[tex]P(A \cup B) = 0.75[/tex]
Step-by-step explanation:
There are two scenarios:
A - Rain
B - Fog.
The probability of rain or fog is determined by the Addition Rule, given that A and B are not mutually excluyent:
[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]
[tex]P (A\cup B) = 0.75 + 0.25 - 0.25[/tex]
[tex]P(A \cup B) = 0.75[/tex]
Jim had $2,052.24 in his checking account. He wrote a check to pay for two airplane tickets. His account now has $1,084.12. How much did each ticket cost?
Answer:
$484.06
Subtract 1084.12 from 2052.24 and that equals 968.12 then you divide that by 2
Math slope please jelpyasap
Answer:
2/2
Step-by-step explanation:
the slope is the distance between the two dots. So for the first dot to get to the second dot is up two, and right two
HELP PLEASE:
I am not understanding on how to solve this problem, and a step by step explanation would help a lot.
A random sample of 120 is taken from a population of 10000. From a previous survey, it is believed that 62% of the population has an Instagram account. Find the mean and standard deviation of the sample proportion. Give the standard deviation to two nonzero decimals (such as .012 and not .01).
(mean subscript p-hat) μˆp =
(standard deviation subscript p-hat) σˆp=
Answer: Mean of the sample proportion = 74.4
Standard deviation of the samnple proportion is 5.32.
Step-by-step explanation:
Given : A random sample of 120 is taken from a population of 10000.
Let n = 120
Also, from previous survey, it is believed that 62% of the population has an Instagram account.
i.e, population proportion : p = 0.62
Now , the mean of the sample proportin would be :
[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]
i.e. Mean of the sample proportion = 74.4
The standard deviation of the samnple proportion would be :
[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]
Thus , the standard deviation of the samnple proportion is 5.32.
A family has three children. The oldest child is 4 years older than the
middle child, and the youngest child is 2 years younger than the
middle child. The sum of the ages of the children is 26.
R
How many years old is the youngest child?
years old
Q
Answer:6 years
Step-by-step explanation:
Given
A family has 3 children
Suppose the age of middle child is [tex]x[/tex]
According to the question, Age of oldest child is [tex]=x+4[/tex]
Eldest child age [tex]=x-2[/tex]
Sum of the ages of children is [tex]26[/tex]
[tex]x+4+x+x-2=26[/tex]
[tex]3x+2=26[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Therefore age of youngest child is [tex]x-2=8-2=6\ years[/tex]
sin(90°– x)= - square root 3 over 2 the value of x is
Answer:
x=30
Step-by-step explanation:
Sin 60 = ((√3)/2), so x=90-60. x=30.
The required value of x for function sin(90°– x)= - √3/2 is x =150°.
A function is given as sin(90°– x)= - √3/2, Value of x for the function is to be determined.
What are trigonometric equations?The equation contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
sin(90°– x)= - √3/2
sin(90°– x) = -sin60
90°-x = sin(-60°)
90°-x = -60°
-x = -60°-90°
x = 150°
Thus, the required value of x for function sin(90°– x)= - √3/2 is x =150°.
Learn more about trigonometry equations here:
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Find the area of the following parallelogram
Answer:
6 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh where b is the base and h is the height
A = 3 *2 = 6 cm^2
James has a lot of games. Samuel, his friend, has 4 times as many games as James. Write an algebraic expression to represent how many games James has and how many games Samuel has in terms of g.
Answer: The answer is given below
Step-by-step explanation:
From the question, James has a lot of games while his friend Samuel, has 4 times as many games as James.
Let the number of games James has be represented by g.
Since Samuel has 4 times as many games as James, then Samuel's game will be:
= 4 × g
= 4g
The expression for James is g.
The expression for Samuel is 4g.
Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each scarf uses 0.1, point, 1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, and she wants to make a total of 20 items. Let h be the number of hats Elliott makes and s be the number of scarves she makes. Which system of equations represents this situation?
Answer:
Step-by-step explanation:
Let h be the number of hats Elliott makes and s be the number of scarves she makes.
Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as
h = 2s
The total number of hats and scarves that she wants to make is 20. This is expressed as
h + s = 20
Therefore, the system of equations that represents this situation are
h = 2s
h + s = 20
Answer: The answer is letter C
Step-by-step explanation:
The ratio of cars to trucks passing the intersection of Reyes Adobe and TO Blvd is 7:2. If 108 vehicles pass this intersection, how many are cars?
Answer:
84 cars
Step-by-step explanation:
the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12
12 x 7= 84.... or at least that's how I think of it.
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. The probability of spinning an odd number, flipping heads, then spinning a yellow is .
The correct question is;
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. Find the probability of spinning an odd number, flipping heads, then spinning another odd number? Write your answer as a fraction in simplest form.
Answer:
If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8
Whereas, if the spinner has an odd number of spaces, more information is needed
Step-by-step explanation:
The answer will depend on whether the spinner has an odd or even number of spaces.
Now, if we suppose that the spinner has an even amount of numbers on it, there will be an equal number of odd and even numbers.
Thus the probability of spinning an odd number is ½.
Also, the probability of flipping heads on a coin is ½.
Thus, the probability of spinning an odd number, flipping heads, then spinning another odd number is;
= ½ × ½ × ½ = ⅛
Similarly,
If the spinner has an odd amount of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 5 spaces on the spinner, the probability of spinning an odd number will be
3
However, if there are 9 spaces, the probability will be 5/9
So,we can conclude that;
If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8
Whereas, if the spinner has an odd number of spaces, more information is needed.
Which expression is equivalent to StartFraction negative 9 x Superscript negative 1 Baseline y Superscript negative 9 Baseline Over negative 15 x Superscript 5 Baseline y Superscript negative 3 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. StartFraction 3 Over 5 x Superscript 5 Baseline y cubed EndFraction StartFraction 3 Over 5 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction StartFraction 5 Over 3 x Superscript 5 Baseline y cubed EndFraction StartFraction 5 Over 3 x Superscript 6 Baseline y Superscript 6 Baseline EndFraction
Answer:
Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3? Assume x =/ 0 y =/ 0
Step-by-step explanation:
The actual answer is B
3/5x^6y^6
on edg just took the test myself and B is the correct answer... Good Luck!!!
The resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]
Indices and expansionGiven the indices expression;
[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}[/tex]
Applying the law of indices, the expression will become;
[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}\\\frac{9}{15} x^{-1-5}y^{-9-(-3)}\\\frac{9}{15} x^{-6}y^{-9+3}\\[/tex]
HenceSimplify the resulting expression to have:
[tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]
Hence the resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]
Learn more on indices here: https://brainly.com/question/10339517
Help I will give point s
Answer:
what do you need help with?
Step-by-step explanation:
The sun is 62 degrees above the horizon. A tree casts a shadow that is 12 feet long. How tall is the tree?
Answer:
22.6 feet
Step-by-step explanation:
Let x be the length of tree
tan(62) = x/12
x = 12tan(62)
x = 22.56871758
The height of the given tree is required.
The height of the tree is 22.57 feet.
[tex]\theta[/tex] = Angle of elevation = [tex]62^{\circ}[/tex]
s = Length of shadow = 12 feet
t = Tree height
From the trigonometric ratios we get
[tex]\tan \theta=\dfrac{t}{s}\\\Rightarrow t=s\tan\theta\\\Rightarrow t=12\times \tan62^{\circ}\\\Rightarrow t=22.57\ \text{feet}[/tex]
The height of the tree is 22.57 feet.
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A car travels 294 miles in 5 hours and 15 minutes. How many miles does it travel per hour?
Answer:
Hey!
Your answer is 56 miles!
Step-by-step explanation:
To find speed, we do 294 divided by 5hrs and 15mins (5.25)
So next= 294 / 5.25
Which gives us 56 mph!
HOPE THIS HELPS!!
The car travel 56 miles per hour.
What is Speed?The speed can be defined as the rate at which an object covers some distance.
Here, we know that,
Speed = Distance / Time
Now, Distance = 294 miles
Time = 5 hours and 15 minutes
= 5.25 hours.
Now, Speed = 294 / 5.25
= 56 miles per hour.
Thus, the car travel 56 miles per hour.
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A new park in the shape of a hexagon will have 6 sides of equal length. On a scale drawing, the coordinates of the vertices of the park are:
(-2.5, 3), (2.5, 3), (6.5, 0), (2.5, -3), (-2.5, -3), (-6.5, 0). How long is each side of the park?
Answer:
5 unit
Step-by-step explanation:
by taking the two points and calculating their distance
length of each side of the park=
sq.rt[(6.5-2.5)^2 + (0-3)^2]
=5
Can you help find X?
Answer:
Step-by-step explanation:
You roll a number cube 20 times. Which scenario is least likely?
Answer:
you won't roll the same number 5 times
On the day a video was posted online, 5 people watched the video. The next month the number of viewers had doubled. Assume the number of viewers continues to double each day.
1) How many viewers will be there in one year? Use commas. Show your reasoning.
2) Estimate on which day will 640 people see the video? Show your reasoning.
Answer:
Step-by-step explanation:
Given
When video is posted 5 people watched it
Next day number of viewers doubled
Suppose this trend continues i.e. No of viewers doubled each day
So on 2 nd day no of viewers is [tex]2\times 5[/tex]
On 3rd day , viewers [tex]2^2\times 5[/tex]
on n th day , viewers is [tex]2^{n-1}\times 5[/tex]
So no of viewers in 1 year i.e. on 365 day
[tex]=2^{365-1}\times 5[/tex]
[tex]=2^{364}\times 5[/tex]
(ii)Day on which 640 people seen the video
[tex]2^{n-1}\times 5=640[/tex]
[tex]2^{n-1}=128[/tex]
[tex]2^{n-1}=2^7[/tex]
Therefore
[tex]n-1=7[/tex]
[tex]n=8\ days[/tex]
63x−8≤23 OR −4x+26≥6
Answer:
63x-8<23
63x<23+8
63x < 31
63. 63
x < 0.492
Brianna and Ava go to the movie theater and purchase refreshments for their friends. Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Price of one drink is $9.25
Step-by-step explanation:
Let the price of a bag of popcorn be p.
Let the price of a drink be d.
Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:
2p + 2d = 39 ____________(1)
Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:
8p + 10d = 174.50 _________(2)
We now have two system of equations which we can use to find the price of a bag of popcorn and drink:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Multiply (1) by 4 subtract from (2):
8p + 10d = 174.50 _______(2)
- 8p + 8d = 156 __________(1)
2d = 18.50
=> d = $9.25
The price of one drink is $9.25
Which of the following fractions converts to a repeating decimal? A 3/8 B 2/9 C 3/10 D 5/16
Answer:
B. 2/9
Step-by-step explanation:
3/8 = 0..375
2/9 = 0.2222222222
3/10 = 0.3
5/16 = 0.3125
the repeating decimal among these is 2/9 = 0.22222222222222222, because it has a repeated decimal numbers
Determine the center and radius of the following circle equation:
x ^2 +y ^2 −18x+4y+60=0
Answer:
Step-by-step explanation:
you can answer this on photo math
Solve for x
•26.45
•10.93
•14.26
•22.19
•20.26
Answer:
x = 26.45
Step-by-step explanation:
Cos theta = adjacent side / hypotenuse
cos 50 = 17 /x
Switch the x and the cos 50
x = 17 / cos 50
x =26.44730506
Rounding to 2 decimal places
x = 26.45
a. A = {men with good set of teeth} empty or non empty?
Answer:
de choices i see are matcheing up to A not sure tho could be C
Step-by-step explanation:
codeine
help me answer this <3
what two intergers does √75 fall between ?
a) 7 & 8
b) 8 & 9
c) 9 & 10
d) it's exactly 30
Some trapezoids are rectangles true or false
Answer:
False.
Step-by-step explanation:
A trapezoid is only ONE pair of parallel sides, not two.
Farid uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he
make with 1 pint of lemon juice?
batches
Answer:
He can make 2 batches of lemonade with 1 pint of lemon juice.
Step-by-step explanation:
First convert 1 pint to ounces
1 pint of lemon juice = 16 fluid ounces
To get the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, we can simply use proportion;
Let x be the number of batches Farid can make with 1 pint(16 fluid ounces) of lemon juice
8 fluid ounces = 1 batch
16 fluid ounces = x
cross-multiply
8x = 16
Divide both-side of the equation by 8
8x/8 = 16/8
x= 2 batches.
Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.
He can make 2 batches of lemonade with 1 pint of lemon juice.
Given that,
Farid uses 8 fluid ounces of lemon juice in one batch of lemonade.
We have to determine,
How many batches can he make with 1 pint of lemon juice?
According to the question,
First, convert 1 pint to ounces
1 pint of lemon juice = 16 fluid ounces
To find the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, the equation can be simplified by using proportion;
Let, x be the number of batches Farid can make with 1 pint (16 fluid ounces) of lemon juice.
8 fluid ounces = 1 batch
16 fluid ounces = x batch
Solving the equation by cross multiplication,
[tex]\dfrac{8}{16} = \dfrac{1}{x}\\\\8x = 16\\\\x = \dfrac{16}{8}\\\\x = 2[/tex]
Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.
To know more about Multiplication click the link given below.
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I need help in fractions
Answer:
I’ll help you just show me the question
Step-by-step explanation:
please help meh
Juanita planted 20 rosebushes. 3/4
of the bushes were red.
The rest were white. How many bushes of each colour
did she plant? Show your work. Include a diagram.
please help me
There are 20 rosebushes, Juanita painted 3/4 of them.
So, we can convert 3/4 into a decimal or just multiply it by 20 to get the number of rose bushes that were painted red. Either way works.
Work:
20 x 3/4 = 15
3/4 = .75
.75 x 20 = 15
20 - 15 = 5
Therefore, 15 rosebushes were painted red and 5 rosebushes were painted white.
1 1/7 times 3/5 plz answer now
Answer:
24/35 or 0.6857142
Step-by-step explanation:
Answer:
[tex] \frac{24}{35} [/tex]
alternative form:
[tex] 0.685714286 [/tex]
Step-by-step explanation:
[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]
