Answer:
8
Step-by-step:
Find the calculator, look for the square root symbol and put 64 in there.
Does the equation y = 2(1/2)x represent exponential growth or decay
Answer:
Growth.
Step-by-step explanation:
y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.
Hope that this helps!
Consider the following hypothesis test: H 0: 50 H a: > 50 A sample of 50 is used and the population standard deviation is 6. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? 2.42 Can it be concluded that the population mean is greater than 50? Yes b. With = 51, what is the value of the test statistic (to 2 decimals)? .97 Can it be concluded that the population mean is greater than 50? No c. With = 51.8, what is the value of the test statistic (to 2 decimals)? 1.65 Can it be concluded that the population mean is greater than 50? Yes
Answer:
Step-by-step explanation:
From the question we are told that:
Null Hypothesis [tex]H_0: 50[/tex]
Alternative Hypothesis [tex]H_a: > 50[/tex]
Sample size [tex]n=50[/tex]
standard deviation[tex]\sigma=6[/tex]
Significance level [tex]\alpha=0.05[/tex]
a)
Sample mean [tex]\=x=52.5[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.95[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Reject the Null hypothesis [tex]H_0[/tex]
b)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=1.18[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude,The value of test statistics is less than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
c)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.12[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
Find what value of x makes the equation true
[tex]\sf\purple{The\:value\:of\:x\:is\:10.4.}[/tex]✅
Step-by-step explanation:
[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: 10x - 4 = 20 \times 5 \\ ✒ \: 10x = 100 + 4 \\ ✒10x = 104 \\ ✒ \: x = \frac{104}{10} \\ ✒ \: x = 10.4[/tex]
[tex]\sf\red{Therefore,\:the\:value\:of\:x\:is\:10.4.}[/tex]
To verify:-
[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: \frac{10 \times 10.4 - 4}{5} = 20 \\ ✒ \: \frac{104 - 4}{5} = 20 \\ ✒ \: \frac{100}{5} = 20 \\ ✒ \: 20 = 20 \\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Andy cycles a distance of 30 km at an average speed of 24 km/h.
He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes.
Give your answer in hours and minutes.
Step-by-step explanation:
Total time taken=(30/24+12/8)
=(1.25+1.5)
=2.75 hrs
=165 minutes
=2 hrs and 45 minutes
formula used: v=d/t
or,d=v×t
or,t=d/v which is the master formula used in the solution of this problem.
If you are satisfied with my answer then please, give brainliest.
help please..............
Answer:
19.4 in.
Step-by-step explanation:
FINDING PERIMETER need help right now
Answer:
if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.
3. Find mZS.
Q= 5x + 2)
P= 10x - 3)
(7x - 11)=ºR
(13x - 31)º=S
(8x - 19)=T
Answer:
∠S = 151
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540
Or 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
This is the equation we will use to solve for x
Step 1 combine like terms
10x = 5x + 7x + 13x + 8x = 43x
-3 + 2 - 11 - 31 - 19 = -62
We now have 540 = 43x - 62
Step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
we now have 602 = 43x
Step 3 divide each side by 43
43x / 43 = x
602 / 43 = 14
we're left with x = 14
Finally we plug in 14 for x in the given expression for ∠S
∠S = 13x - 31
* substitute 14 for x *
∠S = 13 ( 14 ) - 31
∠S = 13 * 14 = 182
182 - 21 = 151
Thus, ∠S = 151
The measure of ∠S is equal to 151°.
What is a shape?In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.
As per the given data:
We are given the diagram of a shape and all its internal angles.
As the given shape is having 5 sides, it will be a pentagon.
The sum of all internal angles in a pentagon is equal to 540°.
∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°
⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
= 43x - 62 = 540
= 43x = 602
x = 14
To find the measure of ∠S.
∠S = 13x - 31
∠S = 13(14) - 31
∠S = 151°
The measure of ∠S is equal to 151°.
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Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=5x−x2 about the x-axis over the interval [0,5].
V=?
2. State the main reasons why farmers are able to grow three different crops in a year in
Palampur
Answer:
abundance of water and suitable climatic conditio n is the main reasons .
Find the slope. Simplify completely.
Solve (x – 3)^2 = 5
please help ASAP
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x^2−6x+9=5
Step 2: Subtract 5 from both sides.
x^2−6x+9−5=5−5
x^2−6x+4=0
Step 3: a=1, b=-6, c=4
1x^2+−6x+4=0
Step 4: Quadratic formula (a) =1, b=-6, c=4
x= 6±√20 /2
Step 4: Last Step
x=3−√5
Explanation in words:
The first step of solving (x – 3)^2 = 5 is to use the quadratic formula. So the first step is to Simplify both sides of the equation which is the (x−3)^2. Our answer will led up to 5 after that.
Moving on to step 2 we will have to now subtract the 5 from both sides. So 5−5 = 0. So in this step, our answer is now led up to 0.
Now on the step 3 we will now have to use the formula named "quadratic formula". So in this case we will solve this equation with that formula a=1, b=-6, c=4. At the end our answer will led up to x=3−√5.
Answer:
x=3+√5
x=3−√5
Hope this helps.
Answer:
Step-by-step explanation:
IG you wanted to solve for X ? there are two answers ofc,
x= 3-[tex]\sqrt{5}[/tex]
x=3+[tex]\sqrt{5}[/tex]
what is 125%of$500.00
Answer:
125 percent
Step-by-step explanation:
25 percent *500.00 =
(25:100)*500.00 =
(25*500.00):100 =
12500:100 = 125
Now we have: 25 percent of 500.00 = 125
Question: What is 25 percent of 500.00?
Percentage solution with steps:
Step 1: Our output value is 500.00.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$500.00=100\%$.
Step 4: Similarly, $x=25\%$.
Step 5: This results in a pair of simple equations:
$500.00=100\%(1)$.
$x=25\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{500.00}{x}=\frac{100\%}{25\%}$
Step 7: Again, the reciprocal of both sides gives
{x}/{500.00}={25}/{100}$
$Rightarrow x=125$
Therefore, $25\%$ of $500.00$ is $125$
What is Mary's location if she travels 3 units left and 4 units up from (5, 0)?
A - (2, 5)
B - (8, 6)
C - (2, 4)
D - (8, 5)
Answer:
here is the right answer
C- (2,4)
A school spent $780,000 in one year to pay all of its teachers and administrators. The school has a total of twenty-four teachers and administrators combined. If teachers make $35,000 per year and administrators make $40,000 per year, how many teachers and how many administrators does the school have?
Answer: Impossible
Step-by-step explanation: Even if 24 people were on the teacher salary, 780,000 still couldn't cover them all.
Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin
i dont know this questions
What is the value of
CNIC
?
81
16
16
81
16
81
81
16
PLEASE HELP!!!!!!!!!
Answer:
10.5
Step-by-step explanation:
A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears filled with blackboard errors, the total amount in dollarspaid can be approximated by a Gaussian random variableYnwith expected value 40nandand variance 100n. What is the probability that 20exceeds 1000
Answer:
The correct answer is "0.0000039110".
Step-by-step explanation:
The given values are:
[tex]Y_n\rightarrow N(\mu, \sigma^2)[/tex]
[tex]\mu = 40n[/tex]
[tex]\sigma^2=100n[/tex]
[tex]n=20[/tex]
then,
The required probability will be:
= [tex]P(Y_{20}>1000)[/tex]
= [tex]P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )[/tex]
= [tex]P(Z>\frac{1000-800}{44.7214} )[/tex]
= [tex]P(Z>\frac{200}{44.7214} )[/tex]
= [tex]P(Z>4.47)[/tex]
By using the table, we get
= [tex]0.0000039110[/tex]
find the area of a rectangle with a length of (5x+2) and width of (2x-1)
Step-by-step explanation:
the rectangle area=L*W
(5x+2)(2x-1)
10x^2-5x+4x-2
10x^2-x-2
ind g(x), where g(x) is the translation 5 units right of f(x) = x.
Write your answer in the form mx + b, where m and b are integers.
A. g(x)= x + 5
B. g(x)= x - 5
C. g(x)= x(5)
D. none of the above
All sides of quadrilateral ABCD are tangent to circle P.
What is the perimeter of the quadrilateral below?
Answer:
44.4 units
Step-by-step explanation:
Recall: 2 tangents drawn from an external point from a circle are congruent
Perimeter of the quadrilateral = AB + BC + CD + AD
AB = 3.1 + 8 = 11.1
BC = 3.1 + 8 = 11.1
CD = 11.1 (given)
AD = 8 + 3.1 = 11.1
Perimeter = 11.1 + 11.1 + 11.1 + 11.1
= 44.4 units
Let Y1 denote the weight of a bulk item stocked by a supplier, with a uniform distribution over the interval (0, 1). The random variable Y2 denotes the weight of the item sold and is assumed to have a uniform distribution over the interval (0, y1), where y1 is a specific value of Y1. If the supplier stocked 5 6 ton, what amount in tons could be expected to be sold during the week
Answer:
5/12 ton
Step-by-step explanation:
Y1 ( uniform random variable ) : ( 0, 1 )
Y2 ( uniform distribution ) ; ( 0, y1 )
supplier stocked ; 5/6 ton
Determine the amount of tons expected to be sold
F ( y2 | y1 ) = 1 / y1
E ( y2 | y1 = 5/6 )
The number of tons expected to be sold = 5/12 ton
attached below is the detailed solution
PLEASE HELP) Use a table of values to graph the function ƒ(x) = –3|x|. Select the correct graph below.
Answer:
B
Step-by-step explanation:
To find the answer you can just input a number for x and then you should come up with a y-value.
The graph mentioned in option B is correct.
We have the the following function -
f(x) = -3 |x|
We have to select the correct graph from the given ones.
State the property Modulus.For a function f(x) = x, which is real in nature -
f(x) = |x| = [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]
We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -
f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]
For every negative value of x -
y = f(x) = 3x = negative value in a multiple of 3.
For every positive value of x -
y = f(x) = - 3x = negative value in a multiple of 3.
Hence, the graph mentioned in option B is correct.
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what is the volume of a rectangle prism that is 1 1/2 inches by 2 1/4 inches by 4 inches?
Answer:
13.5 inches
Step-by-step explanation:
11.5 x 2.25 x 4
I could be wrong
Answer:
13.5 inches is correct :)
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
The volume of the pyramid is 126in^3
Step-by-step explanation:
To find the volume of a pyramid you need to use this formula which is
V=lw·h/3
V=9·6·7/3
V=54·7/3
V=126in^3
In what place is the digit 1 in the number 607.912
hundreds
tens
tenths
hundredths
Answer:
tenths.........
Step-by-step explanation:
.....is the answer
1 4/5 is an example of a (n)
Answer:
Mixed Fraction
Step-by-step explanation:
A mixed fraction is a fraction with a whole number attached to it like 5 1/5 or 3 1/2
[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers.
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Properties of Mixed Numbers :
1. It is partly a whole number.
2. It is partly a fraction.
[tex]1\frac{4}{5}[/tex] is an example of a mixed fraction.
In [tex]1\frac{4}{5}[/tex] , 2 is the quotient, 4 is the remainder.
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Let u
(5, -12) and C =
3. What is cu?
39
39
51
21
Done -
Answer: [tex]||cu||=39[/tex]
Step-by-step explanation:
Given
[tex]u=<5,-12>[/tex] and [tex]c=-3[/tex]
[tex]cu[/tex] is a vector with 3 times the vector u in opposite direction
[tex]|u|=\sqrt{5^2+(-12)^2}\\|u|=\sqrt{25+144}\\|u|=13[/tex]
[tex]\therefore ||cu||=|3\times 13|\\\Rightarrow ||cu||=39[/tex]
option (a) is correct.
please help me with 1 to 4!! <33
if you meant to put a link there is none
Someone help me out my grads are bad
Answer:
19 in^2
Step-by-step explanation:
3in * 5in = 15in^2
2in * 2in = 4in^2
15in^2 + 4in^2 = 19in^2
Feel free to mark it as brainliest :D
Answer: 19
Step-by-step explanation:
Area of the square + Area of the Triangle
good luck my boi
Currently, there are 1,460 wolves in Scataway National Park. If the population of wolves is growing at a rate of 6% every year,
which function represents the number of wolves in Scataway National Park in tyears?
OA W0 = 1,460(1.06)
B. WO = 1,460(0.94)
OC M6 = 1,460(0.06)
OD. WO = (1,460)(1.06)
Answer:
[tex]P(t) = 1460(1.06)^t[/tex]
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for a population after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
Currently, there are 1,460 wolves in Scataway National Park.
This means that [tex]P(0) = 1460[/tex]
Growing at a rate of 6% every year:
This means that [tex]r = 0.06[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 1460(1+0.06)^t[/tex]
[tex]P(t) = 1460(1.06)^t[/tex]
Answer:
Step-by-step explanation: