2.5×10³ times what number is equal to 5×10⁶?
Step-by-step explanation:
2500x=5000000
2500x/2500=5000000/2500
x=2000
I think the answer is this
What is h?
Problem 23h=12
Answer:
h=\(\frac{12}{23}\)
h=0.52173913043
Step-by-step explanation:
23h=12
divide 12 by 23
h=\(\frac{12}{23}\)
h=0.52173913043
Hope this helps! :)
Answer:
it will be 1.91 or if want rounded to nearest tenth it will be 1.9
Step-by-step explanation:
dont have a explanation nut i hopes this help.
giving brainliest please answer
(answer D is) Marco's, George, Andy, Rubens
A
B
C
D
?
What is the value of x?
40
55
A. 95
B. 85
C. 750
D. 105
Answer:
B. 85
Step-by-step explanation:
A triangle has a total of 180 degrees.
85 + 55 = 140
140 + 40 = 180
Your answer is B. 85
The value of x is 85°
What is sum of angles of triangle ?
The sum of interior angles of a triangle are 180°
If ∠A, ∠B, ∠C are three interior angles of a triangle,
Then ∠A+∠B+∠C = 180°
What is the required angle ?Given that, Two angles of the triangle are 40° & 55°
Let, the third angle be x.
Then, Sum of angles = 180°
⇒ 40°+55°+x = 180°
⇒ x+95° = 180°
⇒ x = 180°-95°
⇒ x = 85°
The value of x = 85°
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Approximately 78.9% of high school students in the United States have an iPhone. if a random sample of 50 students is selected what is the probability that less than 75% of the sample students have iPhones?
The probability that less than 75% of the sample students have iPhones is approximately 0.2478.
What is probability?
This is a binomial probability problem, where each student either has an iPhone or does not have an iPhone, and the probability of success (having an iPhone) is 0.789.
Let X be the number of students in the sample who have an iPhone. We want to find P(X < 0.75 * 50) = P(X < 37.5)
Using the binomial probability formula, we have:
P(X < 37.5) = Σ P(X = k), for k = 0, 1, 2, ..., 37
However, this is a tedious calculation. Instead, we can use a normal approximation to the binomial distribution, since n * p = 50 * 0.789 = 39.45 > 10 and n * (1 - p) = 50 * 0.211 = 10.55 > 10.
Using the normal approximation, we can standardize the random variable X:
Z = (X - μ) / σ
where μ = n * p = 39.45 and σ = √(n * p * (1 - p)) = √(50 * 0.789 * 0.211) = 2.88.
Then, we have:
P(X < 37.5) = P(Z < (37.5 - 39.45) / 2.88) = P(Z < -0.68)
Using a standard normal table or calculator, we find that P(Z < -0.68) is approximately 0.2478.
Therefore, the probability that less than 75% of the sample students have iPhones is approximately 0.2478.
Binomial probability is a type of probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes: success or failure. It assumes that the probability of success in each trial is constant, and the trials are independent of each other. The binomial distribution is characterized by two parameters: the number of trials and the probability of success in each trial.
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Alan jogged 3.2 miles to school and then 2.2 after school each day for 5 days. Jennifer jogged a total of 45 miles. Who jogged the most and by how much?
Answer:
Jennifer jogged the most, by 18 miles
Step-by-step explanation:
Given
Alan:
\(To\ School = 3.2\ miles\)
\(After\ School = 2.2\ miles\)
\(Days = 5\)
Jennifer:
\(Total= 45\ miles\)
Required
Who jogged most?
First, we calculate the distance covered by Alan daily
\(Daily = To\ School + After\ School\)
\(Daily = 3.2\ miles + 2.2\ miles\)
\(Daily = 5.4\ miles\)
Next, we calculate the distance covered in 5 days
\(Distance = 5.4\ miles * 5\)
\(Distance = 27\ miles\)
By comparison, Jennifer jogged the most because 45 > 27
And the difference is:
\(Difference = 45\ miles - 27\ miles\)
\(Difference = 18\ miles.\)
A basketball team has 12 players. For the last game of the season the coach will randomly select 5 players to start the game. The first player selected is the center, the second player selected is the power forward, the third player selected is the forward, the fourth player selected is the shooting guard, and the fifth player selected is the point guard. Determine the number of different ways the coach can pick up he line of the game
The number of different ways the coach can pick up the line of the game is 792 ways
Step-by-step explanation:
Let n- number of players, r-selection of players.
We can select them using Combination: nCr = 12C5
Combination formula nCr =\(\frac{n!r!}{ (n-r)!}\) = 12C5 = \(\frac{12!5!}{(12-5)! }\)
=\(\frac{12!5!}{ 7!}\)
= 792ways
The number of different ways the coach can pick up the line of the game is 792 ways.
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A tortoise is walking in the desert. It takes 4 minutes to walk 6.4 meters. What is its speed?
Step-by-step explanation:
speed= distance
time
speed= 6.4
4×60
speed= 0.026 m/s
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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A store sells mugs each mug costs the same amount. During a sale, the store reduces the price of each by $1.25. Jackson spends $11.48 on 2 mugs at the sale price. What was the price of 1 mug before the sale?
Answer:
$14.73
Step-by-step explanation:
I hope this helps
Answer:
The price was $4.49
Step-by-step explanation:
11.48÷2 = 5.74
5.74-1.25=4.49
Tell me if I'm right :)
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
The SS Bigfoot leaves Yeti Bay on a course of N 35 ºW at a speed of 49 miles per hour. After traveling half an hour, the captain determines he is 30 miles from the bay and his bearing back to the bay is S 38 ºE. What is the speed and bearing of the ocean current? Round the speed to the nearest mile per hour and express your the heading as a bearing, rounded to the nearest tenth of a degree.
The ocean current has a bearing of S 50.3º E and a speed of 60 miles per hour.
What do you mean by Speed ?Speed is defined as the rate of change of distance with time. It has the dimension of distance by time. Thus, the SI unit of speed is given as the combination of the basic unit of distance and the basic unit of Time. Thus, the SI unit of speed is metre per second.
We know that the SS Bigfoot is traveling on a course of N 35º W, which means its bearing with respect to due north is 35º westward. To find the ocean current's bearing and speed, we need to use the information about the captain's position after half an hour of travel.
In half an hour, the SS Bigfoot has traveled at a speed of 49 miles per hour * 0.5 hours = 24.5 miles. From the diagram, we can see that the captain's position after half an hour of travel forms a right triangle with the bay and the point where the captain started.
Let's call the point where the captain started Point A, the captain's position after half an hour Point B, and the bay Point C. We know that the distance between Point A and Point B is 24.5 miles, and the distance between Point B and Point C is 30 miles. We can use the Pythagorean theorem to find the distance between Point A and Point C:
a² + b² = c²
24.5² + 30² = c²
c ≈ 39.0 miles
So the captain is 39.0 miles from the bay after half an hour of travel.
Now we can use trigonometry to find the bearing of the ocean current. Let's call the bearing of the ocean current x. We know that:
tan x = opposite/adjacent
tan x = 30/24.5
x ≈ 50.3º
So the ocean current has a bearing of S 50.3º E.
To find the speed of the ocean current, we can use the formula:
speed = distance/time
The distance traveled by the captain is the same as the distance of the ocean current, which is 30 miles. The time it took for the captain to travel this distance is half an hour. Therefore:
speed = 30/0.5 = 60 miles per hour
So the ocean current has a speed of 60 miles per hour.
Putting it all together, the ocean current has a bearing of S 50.3º E and a speed of 60 miles per hour.
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Caitlin read a book. She started reading at 9:45 a.m. and ended at 10:37 a.m. How did How many minutes did Caitlin read?
To calculate the number of minutes, we have to convert the hours to minutes or we can calculate the difference between the starting and ending times to a fixed hour.
In this case, we will use the second approach.
We will use 10:00 am as the fixed hour.
Then, if she started reading at 9:45 am, 15 minutes had passed until 10 am.
If she ended reading at 10:37 am, 37 minutes passed from 10 am.
Then, we can add the two segments:
\(T=15+37=52\min \)Answer: she read 52 minutes.
divide 16 into the ratio 3:5
Answer:
\(6,10\)
Step-by-step explanation:
Method 1:
\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
Alternative method 1:
\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
Alternative method 2:
\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)
\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)
Change the following expression to an equivalent expression in exponential form
Answer:
12^4/5
Step-by-step explanation:
When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom
3. Mass changes when gravitational force changes.
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Mass doesn't change when gravitational force changes, but the weight does change.
Answer:
Step-by-step explanation:
True
hope that helps
mark me brill please
Ezra threw a ball from a point modeled by (0, 3) on the coordinate plane. This ball reached a maximum height at the point (1, 4) and then hit the ground at the point (3, 0). This is shown on the coordinate plane below.
The range of the give graph is 0 ≤ y ≤ 4
What is range?The range of a function is the set of all the values of y for which the function is defined.
Given that, Ezra threw a ball from a point modelled by (0, 3) on the coordinate plane. This ball reached a maximum height at the point (1, 4) and then hit the ground at the point (3, 0).
We see, that the graph reach maximum height at (1, 4)
so, the range will be between 0 and 4.
Hence, The range will be 0 ≤ y ≤ 4
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A box contains 20 black and 30 green balls. One ball is drawn at random, its colour noted and the ball is then replaced in the box for the next draw. The process continues. a) find the probability that first green ball is drawn at the 4 th draw. b) find the probability that the sequence of draws has the third green ball in the sixth draw
Answer:
a)
Step-by-step explanation:
a) The probability of drawing a green ball on any given draw is 30/50 (since there are 30 green balls out of a total of 50 balls). Since the ball is replace....
Q7. There are five envelopes on a table. Four of the envelopes are marked 8, 2, 4 and 1. You are told that the mean of the numbers on the envelopes is 4. What is the number on the fifth envelope?
Answer:
5
Step-by-step explanation:
The mean value is simply the average of the numbers.
(8+2+4+1+x)/5=4
15+x=20
x=5
The number on the fifth envelope is 5 if there are five envelopes on a table. Four of the envelopes are marked 8, 2, 4, and 1.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that:
There are five envelopes on a table. Four of the envelopes are marked 8, 2, 4 and 1.
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
From the data given in the question:
Let x be the number on the fifths envelope:
(8 + 2 + 4 + 1 + x)/5=4
15 + x = 20
x = 5
Thus, the number on the fifth envelope is 5 if there are five envelopes on a table. Four of the envelopes are marked 8, 2, 4, and 1.
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A Triangle has a height that is half of 28 yards and an area of 56 yards^2. What is the length of the base of the trangle?
The length of the base of the triangle is 8 yards whose height is half of 28 yards.
What is triangle?A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.
According to question:The following formula provides the area of a triangle:
Area = (1/2) x base x height
We are given that the height of the triangle is half of 28 yards, which is:
height = 1/2 x 28 = 14 yards
We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:
56 = (1/2) x base x 14
Simplifying this equation, we get:
56 = 7 x base
Dividing both sides by 7, we get:
base = 8
Therefore, the length of the base of the triangle is 8 yards.
The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.
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Help help needed for composition of function
Answer:
\(\circledast \ \ f\circ f\left( x\right) = x\)
\(\circledast \ \ g\circ g\left( x\right) =4x - 21\)
Step-by-step explanation:
\(f(x)=\frac{5}{2x}\)
g(x) = 2x - 7
==============
\(f\circ f\left( x\right) =\frac{5}{2\left( f\left( x\right) \right) }\)
\(=\frac{5}{2\left( \frac{5}{2x} \right) }\)
\(=\frac{5}{\left( \frac{5}{x} \right) }\)
\(=5\times\frac{x}{5}\)
\(=x\)
_____________
\(g\circ g\left( x\right) =2(g(x)) - 7\)
= 2(2x - 7) - 7
= 4x - 14 - 7
= 4x - 23
Which is enough information to prove that line s is parallel to line t
Answer:
line s and t would not meet even if you extend them and also they have the same slope and gradient
What is the probability of drawing a black king and then a diamond without replacing the first card?
Answer:
it is 2 in 4800
Step-by-step explanation:
it's because of math. it's either that or 2000
Find the sum of the first 16 terms of an arithmetic sequence where a4=7 and a7= 16.
\(a_{4} = 7 \: \: \: \: \: \: \: \: \: \: \: \: a_{7} = 16\)
\(a_{4} = a_{1} + 3d \: \: \: \: \: \: \: \: \: a_{7} = a_{1} + 6d \\ 7 = a_{1} + 3d \: \: \: \: \: \: \: \: \: 16 = a_{1} + 6d\)
\(a_{1} + 3d = 7 \\ a_{1} +6 d = 16\)
Solve the system( a¹ , d ) = ( -2 , 3 )So now we know that we are dealing with an arithmetic sequence of common difference 3 and first term -2, we will be using the formula for the sum of the terms
\(S_{n} = \frac{n}{2} (a_{1} + a_{final})\)
Where S is the sum
n is the number of terms that we're summing
a¹ is our first term of the sum
a(f) is final term in our sum
\(a_{final} = a_{16} = a_{1} + 15d = - 2 + 45 = 43 \\ \)
\(S_{16} = \frac{16}{2} ( - 2 + 43) = 8(41) = 328 \\ \)
i need help can someone help me
The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the sine of angle 41°
sin 41° = 2.5/x {opposite/hypotenuse}
x = 2.5/sin 41° {cross multiplication}
x = 3.8106
Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
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halla la suma y el producto de la PG 3,9,27,81,243
Answer:
huh ano yan huhu paki ayos ng sagot
Step-by-step explanation:
hahahhaa
Ed is on a road trip. He has already traveled 221 miles and is driving at a rate of 61 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 631 total miles?
A.
61x + 221 = 631
B.
61x + 631 = 221
C.
221x + 61 = 631
D.
221x + 631 = 61
Answer:
A
Step-by-step explanation:
because 631 is the total miles, the equation will be equal to 631.
Second, because he is driving at 61 miles/hour, 61 will be the rate, so
61x+b=631
sense he already drove 221 miles, that will be where b is, so
61x+221=631
Please help, been stuck on this for a while.
Answer:its blurry
Step-by-step explanation:
cant see it
Answer:
x = 34.6
Step-by-step explanation:
\(x\:=\:\frac{\left(20\cdot \:sin\left(60\right)\right)}{sin\left(30\right)}\)
Is the figure line symmetric?
If yes, how many lines of symmetry does the figure have?
Snow flake
A.
No
B.
Yes; 3 lines of symmetry
C.
Yes; 6 lines of symmetry
D.
Yes; 12 lines of symmetry
The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.
How many lines of symmetry does a snowflake have ?Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.
So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided
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simplify: 3(-2x+5z)+2(3z-2y)+7(x-3z)
Answer:
\(3( - 2x + 5z) + 2(3z - 2y) + 7(x - 3z) \\ \\ - 6x + 15z + 6z - 4y + 7x - 21z \\ \\ x - 4y + 21z - 21z \\ \\ = x - 4y\)
I hope I helped you^_^
Answer: x−4y
Step-by-step explanation:
Expand by distributing terms.
-6x+15z+2(3z-2y)+7(x-3z)
−6x+15z+2(3z−2y)+7(x−3z)
Expand by distributing terms.
-6x+15z+6z-4y+7(x-3z)
−6x+15z+6z−4y+7(x−3z)
Expand by distributing terms.
-6x+15z+6z-4y+7x-21z
−6x+15z+6z−4y+7x−21z
Collect like terms.
(-6x+7x)+(15z+6z-21z)-4y
(−6x+7x)+(15z+6z−21z)−4y
Simplify.
x-4y