The number that is equal to [tex]\frac{4}{2}[/tex] is 2
How to find the number that is equal to 2
When you ask "What is 4/2 as a whole number?" you are asking to convert the fraction [tex]\frac{4}{2}[/tex] to a whole number.
The fraction [tex]\frac{4}{2}[/tex] has a numerator of [tex]4[/tex] and a denominator of [tex]2[/tex]. To convert [tex]\frac{4}{2}[/tex] to a whole number, you simply divide the numerator by the denominator.
Given that:
[tex]\frac{4/2=2}{2/2=1} =\frac{2}{1}=2[/tex]
Therefore, The number that is equal to [tex]\frac{4}{2}[/tex] is 2
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Determine whether the function x2 = –y – 2 is quadratic or not. Explain.
Answer:
Yes, it is.
Step-by-step explanation:
A quadratic function always has [tex]x^{2}[/tex] [tex]x[/tex]≠0The function x² = -y - 2 is a quadratic function.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
As per the given data:
The function is x² = -y - 2
Rearranging the function:
y = x² - 2
A quadratic function is always of the form:
y = ax² + bx + c, where a, b and c are real numbers with a not equal to 0.
We can write y = x² - 2 as:
y = x² + 0(x) - 2, here a = 1, b = 0, c = -2
Hence, the function x² = -y - 2 is a quadratic function.
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A random sample of 87 eighth grade students’ scores on a national mathematics assessment
test has a mean score of 283. The test results prompts a state school administrator to declare
that the mean score for the eighth graders on the exam is more than 280. Assume the
population deviation is 37. At α = 0.14, is there enough evidence to support the administrator’s
claim?
There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
What is a statistical hypothesis?A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:
[tex]\mathbf{H_o \leq 283}[/tex]
The alternative hypothesis:
[tex]\mathbf{H_i > 283}[/tex]
From the population deviation, the Z test for the true mean can be computed as:
[tex]\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}[/tex]
[tex]\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}[/tex]
Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
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Adriano loves anime and collect toys from his fav series. Each month he gains 4 toys. If Adriano has 3 toys when he start collecting, how many dose he have in 4 months.
Answer:
19 toys
Step-by-step explanation:
In Autobiography by Abraham Lincoln, Lincoln avoids embellishing on his own life and keeps his portrayal of his life very_____.
A. neutral
B. negative
C. humorous
Abraham Lincoln, in his autobiography, kept his portrayal of his life very: A. neutral.
What is an Autobiography?An autobiography can be described as the account of the of an individual which is authored by the individual whose life is being narrated.
For Abraham Lincoln, the manner in which he described himself sounded quite neutral in the autobiography he authored.
We can conclude that Lincoln kept his portrayal of his life very: A. neutral.
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what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.
Step-by-step explanation:
[tex] \frac{y - y0}{x - x0} \\ \frac{ - 6 - 3}{ 4 + 2} \\ - \frac{9}{6} = - \frac{3}{2} = 1.5[/tex]
On a map, 1 inch equals 25 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Answer:
75 Miles apart
Step-by-step explanation:
I = inches on a map
I=25
3I=75
75 miles apart
The point P = (-15/4, y) lies on the unit circle shown below. What is the value of
y in simplest form?
Considering the equation of the circle graphed on this problem, the value of y is given by:
[tex]y = -\frac{1}{4}[/tex]
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem, the circle is centered at the origin, with radius 1, hence the equation is given by:
[tex]x^2 + y^2 = 1[/tex]
Hence, when [tex]x = -\frac{\sqrt{15}}{4}[/tex], the values of y are given by:
[tex]y^2 = 1 - x^2[/tex]
[tex]y^2 = 1 - \frac{15}{16}[/tex]
[tex]y^2 = \frac{1}{16}[/tex]
Looking at the graph, we want the negative value of y, hence:
[tex]y = -\sqrt{\frac{1}{16}}[/tex]
[tex]y = -\frac{1}{4}[/tex]
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Answer: its positive 1/4
Step-by-step explanation: got the question right
A doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night. To investigate, he selects a random sample of 50 high school seniors from all high schools in his county. He also selects a random sample of 50 seniors from the colleges in his county. He constructs a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. The resulting interval is (0.57, 1.25). Based upon the interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night?
yes because 1 is in the confidence interval
yes because 0 is not in the confidence interval
no because 1 is in the confidence interval
no because 0 is not in the confidence interval
Considering the given confidence interval, the correct option regarding the conclusion of the hypotheses test is given by:
yes, because 0 is not in the confidence interval.
What are the hypotheses tested?At the null hypotheses, it is tested if the difference is equals to zero, that is:
[tex]H_0: \mu = 0[/tex].
At the alternative hypotheses, it is tested if it is different, hence:
[tex]H_1: \mu \neq 0[/tex].
The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0, hence the correct option is given by:
yes, because 0 is not in the confidence interval
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Find m WVT
A. 53
B. 45
C. 40
D. 50
Answer:
ok i find a.53 b.45c.40d.50 he anwer is hulaan monalang. A53
The 95 % confidence interval (use z*) is:
____ to ____
(to 3 decimals)
Using the z-distribution, it is found that the 95% confidence interval is given by:
[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Hence, the interval is:
[tex]\overline{x} - 1.96\frac{\sigma}{\sqrt{n}}[/tex] to [tex]\overline{x} + 1.96\frac{\sigma}{\sqrt{n}}[/tex]
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what 6+6+6+6+6+6=----------------------------
Mark brainiest
Answer:
36
Step-by-step explanation:
calculate the 6+the Other 6 together
Answer:
36
6 + 6 + 6 + 6 + 6 + 6 is the same as saying 6 × 6, because you are adding 6 to itself 6 times, which gives you 36.Susan got to the school bus stop at 6:08, she waited 1 minute for the bus. What time was it when Susan’s bus came?
Answer:
6:09
Step-by-step explanation:
6:09 is one minute after 6:08
30 POINTS. HELP!
Which of the three types of discontinuities (removable, jump, and infinite), would be represented by a limit that can only be found by simplifying a rational expression or multiplying by a conjugate? Why?
Answer:
jump equation
bu multiplying by a conjugate
click on the picture and please help this is due in 1 hour!
Answer:
4.7 Pounds
Step-by-step explanation:
[tex]14 \div 3≈4.6[/tex]
(Note: This symbol (≈) that looks like a squiggled equal sign means an approximate amount)
Gertrude climbs a 8-meter tower to ride a straight water slide. The
slide is 33 meters. After landing in the splash pool, how far does she
walk to get back to the base of the tower? Provide an answer accurate
to the nearest tenth.
33 m
8 m
walk
label required
Answer:
Hello,
11.2 is your answer!
Let's Beginnn.... READ EXPLANATION!!! ITS ALWAYS HELPS... TRUST MEEEEEEEEEEE!!!!
Step-by-step explanation:
Okay so this is clearly a pythagorean theorem question....
Imagine a ladder on a wall..... its kinda like a triangle.....
with that said... lets begin the math... A^2 + B^2 = C^2
The problem itself gives us c and a.
We have to solve for b.
33^2 - 8^2= b^2
1089 - 64 = 1025 = b^2
notice that we found b^2 but we are looking for b
so we have to take the square root....
√1025= 11.18
it says round to nearest tenth.... sooooo
11.2 is your answer!
The sides of a triangle measure 12 inches, 17 inches, and 24 inches. What is the area of the triangle? Round to the nearest tenth.
The area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
The sides of a triangle measure 12 inches, 17 inches, and 24 inches.
From the formula:
[tex]\rm Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]\rm s = \dfrac{a+b+c}{2}[/tex]
a = 12, b = 17, c = 24 inches
[tex]\rm s = \dfrac{12+17+24}{2} = 26.5[/tex]
Plug all the values in the formula we get:
Area = 95.529 ≈ 95.53 square inches
Thus, the area of the triangle is 95.53 square inches if the sides of a triangle measure 12 inches, 17 inches, and 24 inches.
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22 out of the 55 teachers in a
school staff meeting were first-year
teachers. What percentage of the
teachers in the meeting were first-
year teachers?
Answer:
40%
Step-by-step explanation:
Our fraction would be 22/55. You can divide and then multiply by 100 to get your percentage.
Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, and only function f is negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, but both functions are negative. D. Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function g increases at a faster average rate.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Let f(x) = abˣ + c
At x = 0, f(0) = -10. Then we have
a + c = -10
Then similarly, by satisfying the above table in f(x) will be
[tex]\rm f(x) = - \dfrac{33}{5} \left ( \dfrac{1}{11} \right )^x - \dfrac{17 }{5} \\\\f'(x ) > 0[/tex]
Then we can say f(x) is an increasing function.
[tex]\rm g(x) = - 18 \left ( \dfrac{1}{3} \right )^x +2 \\\\g'(x ) > 0[/tex]
Then we can say g(x) is an increasing function.
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Answer:
The correct answer would be option D- Both functions are increasing, but function g increases at a faster average rate.
Hope this helps and good luck!
Tins of paint are filled at the rate of 2m3 per minute.
How many 750 ml tins of paint can be filled in 1 hour?
Answer:
160,000 tins
Step-by-step explanation:
To find the number of tins, divide the fill rate by the volume per tin.
__
(2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h
160,000 tins of paint can be filled in 1 hour.
_____
Additional comment
That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.
There are 60 minutes per hour. There are 1000 liters per cubic meter.
The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a Visa card with the bank.
a. What is the margin of error for a 95% confidence interval for the population proportion? (Round your answer to 3 decimal places.)
b. What is the 95% confidence interval for the population proportion?
The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
n = 50, X = 29,
Estimate point p = 29/50 = 0.58
q = 1-p = 1-0.58 = 0.42
Z at 0.05/2 (95% confidence interval) = 1.96
[tex]\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}[/tex]
After calculating:
MOE = 0.137
Confidence interval will be: (p - MOE, p+MOE)
= (0.58-0.137, 0.58+0.137)
= (0.443, 0.717)
Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
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467532 rounded by 100 000
Answer:
Round off value = 500000
Step-by-step explanation:
467532 > 500
- Round up
⇒ 500,000
How does the graph of g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
The transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
How to compare the graphs?The equations are given as:
f(x) = x^3
g(x) = (x - 2)^3 + 6
The transformation from f(x) to g(x) can be represented as:
x -> x -2
f(x) -> f(x) + 6
This means that the function f(x) is shifted right by 2 units and shifted up by 6 units.
Hence, the transformation from the parent function f(x) to g(x) is (b) g(x) is shifted 2 units to the right and 6 units up
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Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume defined by the function V(h) = h(h - 7)(h - 11). Graph the function. What is the maximum volume for the domain 0 < h < 11? Round to the nearest cubic foot.
Answer:
96 ft³
Step-by-step explanation:
A graphing calculator conveniently graphs this function. It shows the maximum volume is about 96 ft³.
Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
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х у
0 -11
1 -8
2 -5
3 -2
The table above represents what type of function?
A. linear
В. linear and nonlinear
C. neither linear nor nonlinear
D. nonlinear
Answer:
A. Linear
Step-by-step explanation:
As the x value goes up by 1, the y value goes up by 3 each time
i need help with 7th grade math please need help ASAP + brainleist
Answer:
Area : π mm²
Circumference : 2π mm
Step-by-step explanation:
Finding area :
πr²π x 1²π mm²Finding circumference :
2πr2 x π x 12π mm1. If the line 4x - 9y = 0 is tangent in the first quadrant to the graph of y = x³ + c, what is the value of c? 2. Find a formula for the nth derivative of y=+ 1-x 3. Let f(x)=2. Then find a) Critical number(s) of f b) Monotonic intervals (increasing and decreasing intervals) of f c) The intervals on which f(x) is concave up and concave down d) Inflection points of f e) Sketch the graph of f(x) 4. Evaluate f (*¹-2x+¹) dx. please do it
Answer:
Acount is a great place to work for a loved ones like you a few months
Find the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem.
The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of the interior angle of a polygon with 'n' number of sides is given by the formula,
The sum of the interior angle = (n-2)×180°
As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,
The sum of the interior angle of Hexagon = (6-2)×180° = 720°
Now, the measure of each interior angle = (720°/6) = 120°
Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
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If a = {6 6 4 7 -4 4 -6 9 -3} and B= {1 5 -8 9 -5 -8 9 -5 2}, find 3a +9B Matrix operations
Answer:
[tex]3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}[/tex]
Step-by-step explanation
[tex]A=\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix}\: and \: B=\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}[/tex][tex]\rightarrow 3A=3\begin{bmatrix} 6 & 6 & 4\\\\7 & -4 & 4\\\\ -6 & 9 & -3\end{bmatrix},\: \: 9B =9\begin{bmatrix}1 & 5 & -8\\\\ 9 & -5 & -8\\\\ 9 & -5 & 2\end{bmatrix}[/tex][tex]\rightarrow 3A=\begin{bmatrix} 3*6 & 3*6 & 3*4\\\\3*7 & 3(-4) & 3*4\\\\ 3(-6) & 3*9 & 3(-3)\end{bmatrix},\:\: 9B =\begin{bmatrix}9*1 &9* 5 &9( -8)\\\\ 9*9 & 9(-5) & 9(-8)\\\\ 9*9 & 9(-5) & 9*2\end{bmatrix}[/tex][tex]\rightarrow 3A=\begin{bmatrix} 18 & 18 & 12 \\\\ 21 & -12 & 12\\\\ -18 & 27 & -9\end{bmatrix},\:\: 9B =\begin{bmatrix} 9 & 45 & -72 \\\\ 81 & -45 & -72\\\\ 81 & -45 & 18\end{bmatrix}[/tex][tex]\rightarrow 3A+9B=\begin{bmatrix}18+9 & 18+45 & 12+(-72) \\\\ 21+81 & -12 +(-45) & 12+(-72)\\\\ -18+81 & 27+(-45) & -9+18 \end{bmatrix}[/tex][tex]\rightarrow 3A+9B=\begin{bmatrix} 18+9 & 18+45 & 12-72 \\\\ 21+81 & -12 -45 & 12-72\\\\ -18+81 & 27-45 & -9+18 \end{bmatrix}[/tex][tex]\rightarrow \purple{\bold{3A+9B=\begin{bmatrix} 27 & 63 & -60 \\\\ 102 & -57 & -60\\\\ 63 & -18 & 9 \end{bmatrix}}}[/tex]An initial population of 415 quail increases at an annual rate of 32%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?
Answer:
Below in bold.
Step-by-step explanation:
The population P will increase by a factor of 1.32 each year.
The function is
P = 415(1.32)^t where t is the time in years.
After 5 years:
P = 415(1.32)^5 = 1663.
