When one column adds up to more than 10, you regroup 10 Ones into 1 Tens
Regrouping is done by making groups of tens during operations like subtraction and addition. Regrouping means rearranging numbers into groups by place value to make it easier to carry out operations. This process is called regrouping because you're rearranging numbers into place value to carry out the process.
To regroup means to rearrange groups in place value to carry out an operation.
When one column adds up to more than 10, you regroup 10 Ones into 1 Tens. Don't put the carry over in the answer area at the bottom of the column. Write it at the top. After we carry the 1, we add all the Tens place digits, including the carry.
Therefore, when one column adds up to more than 10, you regroup 10 Ones into 1 Tens
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(1 point) A baseball is thrown from the stands 10 ft above the field at an angle of 80° up from the horizontal. When and how far away will the ball strike the ground if its initial speed is 30 ft/sec
The ball will strike the ground in `1.838 sec` and `11.812 ft` away from the point of projection.
The given values are: Initial Speed = 30 ft/sec Height (h) = 10 ft Angle (θ) = 80°
Using the formula: `Horizontal distance (d) = (Initial Speed (v) * time (t) * cosθ)` Vertical distance (h) = `Initial Speed (v) * sinθ * t - 0.5 * g * t^2`. Where `g` is the acceleration due to gravity `g = 32 ft/sec^2`. Now, since the baseball hits the ground, therefore h = 0.
Putting the values we get: 0 = (30 * sin80° * t) - (0.5 * 32 * t^2)0 = (30 * 0.9848 * t) - (16 * t^2)
t = 0 or 1.838 sec
So, the time taken by the ball to hit the ground is `1.838 sec`. Using the formula, `Horizontal distance (d) = (Initial Speed (v) * time (t) * cosθ)`d = (30 * 1.838 * cos80°) d = 11.812 ft. So, the ball will strike the ground in `1.838 sec` and `11.812 ft` away from the point of projection.
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Fill in the table using this function rule.
y=-3x+3
Answer:
y=15, 9, 3, -3
Step-by-step explanation:
if x=-4, y=-3x+3
y=-3(-4)+3
y=12+3
y=15
if x=-2, y=-3x+3
y=-3(-2)+3
y=6+3
y=9
if x=0, y=-3x+3
y=-3(0)+3
y=0+3
y=3
if x=2, y=-3x+3
y=-3(2)+3
y=-6+3
y=-3
With Alpha set to .05, would we reduce the probability of a Type
I Error by increasing our sample size? Why or why not? How does
increasing sample size affect the probability of Type II Error?
With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.
However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).
Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.
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Rewrite the function by completing the square
f(x)=x^2-14x+63
Answer:
f(x) = (x - 7)² - 14
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Vertex Form: f(x) = a(bx - c)² + dCompleting the Square: (b/2)²Step-by-step explanation:
Step 1: Define
f(x) = x² - 14x + 63
Step 2: Rewrite
Separate: f(x) = (x² - 14x) + 63Complete the Square: f(x) = (x² - 14x + 49) + 63 - 49Simplify: f(x) = (x - 7)² - 14Answer:
-7 and 14 on khan
if the patient must receive 0.190 millicuries of na-24 per kilogram of body weight, how many millicuries should be given to a patient who weighs 55.2 kilograms?
If the patient must receive 0.190 millicuries of Na-24 per kilogram of body weight, 10.4928 millicuries of Na-24 should be given to a patient who weighs 55.2 kilograms.
To calculate the number of millicuries that should be given to a patient, you have to multiply the dose per kilogram of body weight by the patient's body weight in kilograms.
Here is the formula:
Millicuries to be given = dose per kilogram of body weight × body weight in kilograms
So, if the patient must receive 0.190 millicuries of Na-24 per kilogram of body weight, 10.4928 millicuries should be given to a patient who weighs 55.2 kilograms.
That is,0.190 millicuries /kg × 55.2 kg = 10.4928 millicuries
Therefore, 10.4928 millicuries of Na-24 should be given to a patient who weighs 55.2 kilograms.
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The table shows the amount x (in hours) of time you spend at a theme park and the admission fee y (in dollars) to
the park. The points represented by the table lie on a line. Find and interpret the slope of the line.
Time
(hours), x
Admission
(dollars), y
54.99
54.99
7
S
54.99
Answer:
Slope of the line: 0
The admission fee does not change as time spend at the park increases.
Step-by-step explanation:
No change in amount of dollars, domain stays the same, slope of the line is then 0
The slope of the line will be 0.
The admission fee is $54.99, which is not change as time spend at the park increases.
What is Slope of line?
The slope of a line is a number that describe the both direction and the steepness of the line.
Given that;
The table shows the amount x (in hours) of time you spend at a theme park and the admission fee y (in dollars) to the park.
And, The points represented by the table lie on a line.
Now, The slope of the line with two points (x₁ , y₁) and (x₂, y₂) will be;
m = (y₂ - y₁) / (x₂ - x₁)
So, The slope of the line with two points (6, 54.99) and (7, 54.99) is;
m = (y₂ - y₁) / (x₂ - x₁)
m = (54.99 - 54.99) / 7 - 6
m = 0/1
m = 0
Thus, Slope of the line will be 0.
And, The admission fee is $54.99, which is not change as time spend at the park increases.
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1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *
Answer:
$105.22
Step-by-step explanation:
If a line has a slope of -2/5 and a y-intercept of 9,
what is the equation
Answer:
y = -2/5x + 9
Step-by-step explanation:
The slope will always be before the x. And intercept will always go after the slope. If your intercept is negative, remember to write it as x-9 rather than x+9.
And you'll always want to add the y = at the beginning
Write the rule to describe the transformation.
Answer:
dilation of 2 is may be the answer
OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help
Answer:
90 times 3 is 270
270- 71 ( the average grade you have now)= 199
the 2 more report card average grade has to add up to 199 for you to get a 90.
A pound is equal to 0.454 kilograms, how many kilograms does a 142-pound man weigh
Answer:
64.468
Step-by-step explanation:
Answer: 64.468 kilograms
Step-by-step explanation:
find all points of intersection of the given curves. (assume 0 ≤ theta ≤ ????. order your answers from smallest to largest theta. if an intersection occurs at the pole, enter pole in the first answer blank.) r
The points of intersection are:
(0, 0)
(0, π)
(√(3)/2, π/3)
(-√(3)/2, 5π/3)
To find the points of intersection between the curves r = sin(θ) and r = sin(2θ), we can equate the two equations and solve for theta.
Setting sin(θ) = sin(2θ), we have:
sin(θ) = sin(2θ)
Using the identity sin(2θ) = 2sin(θ)cos(θ), we can rewrite the equation as:
sin(θ) = 2sin(θ)cos(θ)
Now, we have two possibilities:
sin(θ) = 0:
This occurs when θ = 0 or θ = π. At these points, the value of r is also 0 since r = sin(θ). Therefore, the points of intersection are (0, 0) and (0, pi).
sin(θ) ≠ 0:
Dividing both sides of the equation by sin(θ), we get:
1 = 2cos(θ)
Solving for cos(θ), we have:
cos(θ) = 1/2
This occurs when theta = π/3 or theta = 5π/3. At these points, the value of r is sin(θ), so the points of intersection are (sin(π/3), π/3) and (sin(5π/3), 5π/3).
Therefore, the points of intersection are:
(0, 0)
(0, π)
(√(3)/2, π/3)
(-√(3)/2, 5π/3)
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The complete question:
Find all points of intersection of the given curves. (Assume 0 ≤ theta < 2π and r ≥ 0. Order your answers from smallest to largest theta. If an intersection occurs at the pole, enter POLE in the first answer blank.)
r = sin(theta), r = sin(2theta)
(r, theta) =
(r, theta) =
(r, theta) =
Find the (a) mean, (b) median, (c) mode.
Listed below are the highest amounts of net worth (in millions
of dollars) of all celebrities. What do the results tell us about
the population of all celebrities? Based on the nature of the
amounts, what can be inferred about their precision?
240 190 175 155 150 150 130 130 130 130
The mean is $ type your answer...
million. The median is $
type your answer...
million and the mode is $
type your answer...
million.
Answer: Mean = 158 - Median = 158 - Mode = 130
Answer: (a) mean is $158 (b) median is $150 (c) mode is $130
Step-by-step explanation:
Arrange the series:
130 130 130 130 150 150 155 175 190 240
\(\displaystyle\\Mean=\frac{130*4+150+2+155+175+190+240}{10} \\\\Mean=\frac{1580}{10} \\\\Mean=158\\\\Median=\frac{150+150}{2} \\\\Median=\frac{300}{2} \\\\Median=150\\\\Mode=130\)
A tub contained 620 gallons of water. The drain was open for 10 minutes and 25% of the water drained out of the tub. How much water was left in the tub at the end of the 10 minutes?
465 gallons
465 gallons
155 gallons
155 gallons
610 gallons
610 gallons
595 gallons
Answer:
465 Gallons were left in the tub.
Step-by-step explanation:
The answer is 466 because 25% of 620 is 155 and 620 minus 155 is 465.
P.S Can I have brainliest?
Answer:
465 gallons
25% of 620 = 155
620 - 155 = 465
Final Answer: 465 gallons
Step-by-step explanation:
After a command economy is first created, a country often experiences immediate benefits. Which of the following benefits is NOT a result of creating a command economy? A. rapid industrialization B. greater potential for individual income C. immediate increases in infrastructure D. rapid increases in production
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
for every positive integer $ k $ that divides the order of g, there exists a subgroup $ h $ of $ g $ of order $ k $.
The proof of every positive integer k that divides the order of g, there exists a subgroup h of g of order k is shown below:
What is Subgroup?A subgroup is a group nested inside another group. The subgroup test is used on subsets of a group to determine if they are subgroups. A proper subgroup is a subgroup that does not contain all of the original group, while a trivial subgroup contains only the identity.
Suppose k ∣ g ⟹n=dk:
If h(g)=⟨g⟩ is cyclic then
clearly K:=|⟨g^d⟩|=k .
Suppose now we have
1≠H≤h(g),
|H|=k and
let r>0 be the minimal natural number s.t.
g^r ∈ H , then
1=(g ^ r)^k = g^(r k)
⟹n ∣ r k ⟹ r k=ns =d ks ⟹ r= ds ⟹ s ∣ d
and from here we have
g^ r=(g^ d)^ s ∈K
Also, |H|=||K|
we get equality and thus uniqueness of K.
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The graph of y=3x is shown. What is the value of x when y=27?
A. 2
B. 3
C. 9
D. 24
It said c was wrong
Answer:
x = 3
Step-by-step explanation:
Is x an exponent?
\( y = 3^x \)
\( 27 = 3^x \)
\( 3^3 = 3^x \)
\( x = 3 \)
What is the volume of a figure with that is 5 inches wide, 10 inches tall and 5 inches long
The volume of a box is:
\(\begin{gathered} V=W\cdot T\cdot L \\ \end{gathered}\)So for our problem will be:
\(V=5\cdot10\cdot5=250\)Solve for x:
\(\sf 4x+5=1+5x\)
Thanks
Answer:
Hope it will help you a lot.
The function A() given by A()=0. 24551 can be ued to etimate the average age of employee of a company in the year 1981 to 2009. Let A() be the average age of an employee, and be the number of year ince 1981; that i, =0 for 1981 and =9 for 1990. What wa the average age of the employee in 2003 and in 2009?
The the function to estimate the average age of employee of a company is A(s)=0.285s + 59 , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98
To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22 ;
because the number of years between 2003 and 1981 is = 22 years ;
So , A(22) = 0.285×22 + 59 = 65.27 ;
The average age of an employee in 2003 is approximately 65.27.
To estimate the average age of an employee in 2009,
we need to find the value of A(s) when s = 28
because the number of years between 2009 and 1981 is = 28 years ;
So , A(28) = 0.285×28 + 59 = 66.98 ;
The Average age of employee in 2009 is approximately 71.48.
The given question is incomplete , the complete question is
The function A(s) given by A(s)=0.285s + 59 can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let A(s) be the average age of an employee, and "s" be the number of year since 1981; that is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in 2009 ?
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Ramil and Carly decided to make more baked goods for the bake sale. They used 1/8 less flour to make bread
Using fraction formula ,
The flour used by ramil and Carly for making bread is 33/40lb
Fraction: fraction is a number represented as a quotient, in which a numerator is divided by a denominator.
We have given that,
Ramil and Carly used 1/2 lb flour to make the bread.
They used 1/8lb less flour to make bread than to make cookies.
So, they used flour to make the cookies = 1/2+1/8
= 5/8lb
Therefore they used 5/8lb flour to make the cookies.
they used 1/5 lb more breads to make cookies than to make brownies. Mathematically, they used cookies for making the brownies is
= 1/5 + 5/8
=(8 + 25)/40 = 33/40lb
Therefore , they used 33/40lb flour to make the brownies.
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Complete question:
Ramil amd carly decided to make more baked goods for the bake sale. They used 1/8 lb less flour to make bread than to make cookies. She used 1/5 lb more to make cookies than to make brownies. If she used 1/2 lb of flour to make the bread, how much flour did she use to make the brownies
1. What is the value of 2.6 + (-3)?
a) -0.4
b) 5.6
c) - 5.6
d) 0.4
Answer:
a) -0.4.
Step-by-step explanation:
2.6 + (-3)
= 2.6 - 3
= -0.4.
Solve (−7) ⋅ (−4). Please hurry :D
-28
-11
28
11
Answer:
28
Step-by-step explanation:
\( - (7) \times ( - 4) \\ - ( - 28) \\ - \times - = + \\ = 28\)
determine the size of the sample space that corresponds to the experiment of tossing a coin the following number of times:(a) 2 timesanswer:(b) 9 timesanswer:(c) n timesanswer:
The size of the sample space is 4.
The size of the sample space would be 2^9 = 512.
The size of the sample space would be 2^n.
When tossing a coin 2 times, the sample space consists of all possible outcomes from each toss. Since each toss can result in either heads (H) or tails (T), the sample space would be {HH, HT, TH, TT}.
When tossing a coin 9 times, the sample space consists of all possible outcomes from each toss. Since each toss can result in either heads (H) or tails (T), there are 2 possibilities for each toss.
When tossing a coin n times, the sample space consists of all possible outcomes from each toss. Since each toss can result in either heads (H) or tails (T), there are 2 possibilities for each toss.
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heyyy pretty pls help im lsot rn i dont understand
Answer:
52ft
Step-by-step explanation:
You divide the box in 2 pieces and multiply the numbers by the separate boxes that you made, then you add them.
5x2= 10
8-2= 6 -----> 7x6= 42
10 + 42 = 52
Answer: The first box is 56 The second box is 4 and the last is 52
Step-by-step explanation: The total area of the full rectangle is 8×7=56
The area of the small cut out portion is 2×2=4
The area of the remaining figure is 56-4=52
PLEASE ANSWER ASAP WORTH 100 points get it right please
Answer:
See below.
Step-by-step explanation:
Part A:
triangle QPR and triangle PSR are similar
Part B:
Triangle QPR is a right triangle with right angle QPR.
Triangle SPR is a right triangle with right angle PSR.
Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.
Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.
The similar triangles by AA Similarity are
triangle QPR and triangle PSR
Part C:
QR/PR = PR/SR
16/PR = PR/4
PR² = 16 * 4
PR² = 64
PR = 8
Solve each proportion. 10/14=15/x
Answer:x=21
Step-by-step explanation:
10/14=15/x
5/7=15x^-1
(5/7)/15=ans
ans=x^-1
ans^-1=21
Answer: x=21
Step-by-step explanation:
\(\frac{10}{14} =\frac{15}{x}\)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14x, the least common multiple of 14,x.
x×10=14×15
Multiply 14 and 15 to get 210.
x×10=210
Divide both sides by 10.
x=
10
210
Divide 210 by 10 to get 21.
x=21
Find the measure of each marked angle.
What is top left and what is bottom right equivalent to!?
And brainliest shall be given.
The law of large numbers states that as the number of observations drawn at random from a population with finite mean μ increases, the mean of the observed values.
The mean of a observed values approaches the population mean more and more as the number of data points gathered rises.
Define the term population mean?The average calculated from the group members, distribution, or population is known as the population mean.
It is calculated by dividing the sum of all different variables through the total population of variables. The population mean is shown here as. The population's observations are added together to form X. There are 2 distinct averages in statistics: Only a few observations—selected from the population data—are taken into account for calculating the sample mean. On the other hand, the population mean computes the average value by taking into account all of the population's observations.Thus, choose a population with a finite mean and a random sample of observations. The mean of a observed values approaches the population mean to a greater extent as the number of data gathered rises.
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A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
The average change in water volume is (answer here)iter(s) per day.
The average change in the volume of water per day is obtained as 0.625 litres.
What is the rate change of volume?The rate change of volume is the change of volume with respect to time.
For instantaneous change the derivative of the expression of volume can be taken.
The average change in the volume of water can be obtained as follows,
Average change = Volume of water ÷ Number of days
= 2.5 ÷ 4 = 0.625
Hence, the average change in water volume is given as 0.625 liters per day.
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