what 3 digits are in the units period?
Write twelve and sixteen thousand as a mixed decimal
When the expression -5x^2+20x-17 is written in the form $a(x+d)^2+e$, where a, d, and e are constants, then what is the sum a+d+e?
PLEEEASE HELP
the angle of elevation to the top of a 20 story sky scraper is measured to be 2 degrees from a point on the ground 5,280 from the building what is the height of the sky scraper to the nearest hundred foot
Are the functions linear or nonlinear? Column A Column B 1. 72 = x3 + y 2. y + 1 = 5(x – 9) 3. 7y + 2x = 12 4. 4y = 24 A. linear B. nonlinear
Answer:
72=x3+y: nonlinear
y+1=5(x−9): linear
7y + 2x = 12: linear
4y = 24: linear
I know because I took the k12 test.
cory earns 52.50 in 7 hours. find the unit rate
divide the two:
52.50 / 7 = 7.50 per hour
What two consecutive whole numbers that square root of 86 lies between
sqrt(86) = 9.273
which is between 9 & 10
What is the future value of $1400 saved at i=11.41%, compounded annually in 1 year?
Which of the following symbols correctly completes this comparison? 5 + 10 + 13 ? 13 + 10 + 5 = < > ≠
The correct symbol to complete the expression is,
⇒ 5 + 10 + 13 = 13 + 10 + 5
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The expression is,
⇒ 5 + 10 + 13 ? 13 + 10 + 5
Now,
Since, The expression is,
⇒ 5 + 10 + 13 ? 13 + 10 + 5
From LHS;
⇒ 5 + 10 + 13 = 28
From RHS;
⇒ 13 + 10 + 5 = 28
So, We get;
The correct symbol to use is,
⇒ 5 + 10 + 13 = 13 + 10 + 5
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What is the LCM of 4,8,14?
Answer:
The LCM of 4, 8, and 14 = 56
Step-by-step explanation:
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, (56), 60, 64
Multiples of 8:
8, 16, 24, 32, 40, 48, (56), 64, 72
Multiples of 14:
14, 28, 42, (56), 70, 84
Hope this helps!
What are 5 numbers that have 3,5, and 7 as prime factors
Factor the polynomial. x2 - 6x + 9 A) (x - 9)(x - 1) B) (x - 3)(x + 3) C) (x + 9)(x + 1) D) (x - 3)(x - 3)
What number is 1/10 greater than 7962
two pounds of peaches cost 4.50 5 pounds cost 11.25and 10 pounds cost 22.50 what is the constant of proportionality
4.50 /2 = 2.25
11.25/5 = 2.25
22.50/10 = 2.25
the constant is the price per pound which is 2.25
Answer:
c
Step-by-step explanation:
At a speed of 45 yards per minute, a 120 pound swimmer burns 420 calories per hour and a 172 pound swimmer burns 600 calories per hour. write an equation that models the number of calories burned per hour as a function of the swimmer's weight.
Matrix's van holds 14 gallons of gas and can be driven 25 miles per gallon. His next road trip is 1,050 miles away. How many times will his ban need to be filled up to make the trip?
Under what conditions can the t-distribution be correctly employed to test the difference between two population means?
Final answer:
The t-distribution is employed when testing the difference between two population means if the data come from a simple random sample and the population is approximately normally distributed or the sample size is large. It is also used when the population standard deviation is unknown, and a one-tailed or two-tailed test is conducted based on expectations about the direction of the mean difference.
Explanation:
Conditions for Using the t-Distribution to Test Differences Between Two Means
The t-distribution is appropriately used to test the difference between two population means under specific conditions. Firstly, your data must be obtained from a simple random sample. Secondly, the sample should come from a population that is approximately normally distributed, or the sample size should be large enough to compensate for non-normality. This is because the t-test relies on the assumption of normality, especially with smaller sample sizes (<30). If the sample size is small and the population distribution is unknown or not normal, the use of a t-test may not be appropriate without transformation or other techniques to meet the assumptions.
It is also essential to use the t-distribution when the population standard deviation is unknown, and as a result, the sample standard deviation is used as an estimate. Moreover, the t-test can adapt to various research scenarios, considering that it is designed to handle different levels of variability and data types. This flexibility makes the t-distribution a key tool for many scientific studies where the variance is not known ahead of time.
In hypothesis testing, the direction of the mean difference is considered, such as when conducting a one-tailed test or a two-tailed test. A one-tailed test is conducted when an expectation about the direction of the difference exists, while a two-tailed test is used to determine if there is any statistically significant difference between group means without a predefined direction. Lastly, when employing the t-test for paired data, the assumption is that the population from which the differences are drawn is normally distributed.
suppose you have 192 marbles in groups of 15 marbles each. find the number of groups of marbles that you have. write the quotient with the remainder written as a fraction. explain what the fraction part of your answer means
he bought 8 pizzas to be shared equally among 40 people. what is the equivalent representation
Identify a counterexample to disprove n3 ≤ 3n2, where n is a real number.
"The correct counterexample to disprove the inequality [tex]\( n^3 \leq 3n^2 \)[/tex]for real numbers [tex]\( n \)[/tex]is any real number[tex]\( n \)[/tex]greater than 3.
To find a counterexample, we need to show that there exists at least one real number[tex]\( n \)[/tex] for which the inequality [tex]\( n^3 \leq 3n^2 \)[/tex] does not hold. Let's solve the inequality to find the values of[tex]\( n \)[/tex] that satisfy it:
[tex]\[ n^3 \leq 3n^2 \][/tex]
[tex]\[ n^3 - 3n^2 \leq 0 \][/tex]
[tex]\[ n^2(n - 3) \leq 0 \][/tex]
The critical points of this inequality are [tex]\( n = 0 \) and \( n = 3 \)[/tex]. We can divide the real number line into three intervals:[tex]\( n < 0 \), \( 0 \leq n \leq 3 \)[/tex], and[tex]\( n > 3 \).[/tex]Let's test each interval:
1. For[tex]\( n < 0 \), \( n^2 \)[/tex] is positive, but [tex]\( n - 3 \)[/tex] is negative, so the product [tex]\( n^2(n - 3) \)[/tex]is negative, and the inequality holds.
2. For [tex]\( 0 \leq n \leq 3 \)[/tex], both [tex]\( n^2 \) and \( n - 3 \)[/tex] are non-negative, so the product [tex]\( n^2(n - 3) \)[/tex]is non-positive, and the inequality holds.
3. For [tex]\( n > 3 \)[/tex], both [tex]\( n^2 \)[/tex] and [tex]\( n - 3 \)[/tex] are positive, so the product[tex]\( n^2(n - 3) \)[/tex] is positive, and the inequality does not hold.
Therefore, any real number [tex]\( n \)[/tex] greater than 3 will serve as a counterexample to the inequality[tex]\( n^3 \leq 3n^2 \)[/tex]. For instance, if we take [tex]\( n = 4 \),[/tex] we get:
[tex]\[ 4^3 \leq 3 \cdot 4^2 \][/tex]
[tex]\[ 64 \leq 48 \][/tex]
This statement is false, as 64 is not less than or equal to 48. Thus, \( n = 4 \)[tex]\( n = 4 \)[/tex] is a valid counterexample."
−4x−y+4 when x=−1/4 and y=3 .
a sporting good store sells golf balls and boxes each box has 4 compartments of golf balls each compartment has three golf balls the store sold 37 boxes on Friday and 42 boxes on Saturday how many golf balls did the store sell in all
The store sold a total of 948 balls on Saturday and Friday.
Given that,
A sporting good store sells golf balls and boxes each box has 4 compartments of golf balls each compartment has three golf balls the store sold 37 boxes on Friday and 42 boxes on Saturday how many golf balls did the store sell is to be detrmined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
A sporting goods store sells golf balls and boxes each box has 4 compartments of golf balls each compartment has three golf balls
Implies
each box has = 3 x 4 = 12 balls
Total box sold = 37 + 42 = 79
Total balls = 79 * 12 = 948
Thus, the store sold a total of 948 balls on Saturday and Friday.
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If the test for a disease is accurate 65% of the time, how often will it come back positive if a patient doesn't have the disease?
Answer:
35% of the time
Step-by-step explanation:
A P E X
then difference between the cubes of two numbers is twice the value of the perfect square of a possitive Intiger
What is the area of 30 X 40 rectangle in square units
The area of the given rectangle is 1200 square units.
Given that, width = 30 units and length = 40 units.
What is the area of a rectangle?The formula of the area of a rectangle is used to find the area occupied by the rectangle within its boundary. The area of a rectangle is obtained by multiplying its length and width. Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".
Now, the area of a rectangle = 40 × 30
= 1200 square units
Therefore, the area of the given rectangle is 1200 square units.
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Hich equation correctly applies the distributive property?
A. −2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6
B. −1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25
C. (0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)
D. 70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)
Please answer fast!
A map has a scale of 1 inch to 15 miles . If 2 cities are 3.4 inches apart on the map , what is the actual distance between the 2 cities ?
I need help with this question... phenobarbital elixir contains 2 grams in 1 liter of elixir. How many milligrams of phenobarbital are contained in 1 teaspoon of elixir?
Answer:
9.86 milligrams
Step-by-step explanation:
It is given that 1 liter f elixir contains 2 grams of phenobarbital elixir.
Since 202.884 teaspoons = 1 liter
so 1 teaspoon of elixir = [tex]\frac{1}{202.884}[/tex] liter
∵ 1 liter of elixir contains phenobarbital = 2 gms.
∴ [tex]\frac{1}{202.884}[/tex] liter of elixir contains phenobarbital = [tex]\frac{2*1}{202.884}[/tex] = 0.009858 grams
or 0.009858 × 10³ milligrams
= 9.86 milligrams.
Therefore, 9.86 milligrams of phenobarbital will be required.
Final answer:
The milligrams of phenobarbital in one teaspoon of elixir, multiply the milligrams per milliliter (2 mg/mL) by the volume of one teaspoon (5 mL), resulting in 10 milligrams per teaspoon.
Explanation:
The milligrams of phenobarbital in one teaspoon of elixir by first understanding the concentration of the solution and then using the volume conversion. Since 1 liter of the phenobarbital elixir contains 2 grams (2000 mg), we need to find out how many milligrams are contained in a smaller volume, specifically in one teaspoon, which is 5 milliliters. milligrams, so 2 grams = 2000 milligrams.
Next, consider the volume conversion: There are 1000 milliliters in 1 liter. So if 2000 mg is in 1000 milliliters, there would be 2 mg in 1 milliliter (since 2000 ÷ 1000 = 2).
Finally, since 1 teaspoon equals 5 milliliters, we multiply the amount of milligrams in 1 milliliter by 5.
Mathematically: 2 mg/mL * 5 mL = 10 mg
Therefore, there are 10 milligrams of phenobarbital in 1 teaspoon of elixir.
Describe the set of all points p(x,y) in a coordinate plane that satisfy the given condition
The set of all points p(x,y) in a coordinate plane that satisfy the given condition refers to the graph that represents the change of y as a function of x.
Explanation:In a rectangular (Cartesian) xy-coordinate system, a point in a plane is described by a pair of coordinates (x, y). The set of all points p(x,y) that satisfy the given condition refers to the plotted or sketched graph that represents the change of y as a function of x. Using the given table of points (1,5), (2,10), (3,7), and (4,14), we can plot these points on a graph and connect them to see how y values change with different x values.
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Which expression is equivalent to 18a+12b+9a+24b ?
Answer Choices
* 63ab
* 30a+33b
* 27a+36b
* 21a+42b
The correct expression is equivalent to 18a+12b+9a+24b is,
⇒ 27a + 36b
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 18a + 12b + 9a + 24b
Now, We can simplify as;
⇒ 18a + 12b + 9a + 24b
⇒ 18a + 9a + 12b + 24b
⇒ 27a + 36b
Thus, The correct expression is equivalent to 18a+12b+9a+24b is,
⇒ 27a + 36b
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