Answer:
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\sigma[/tex] = 10 beats per minute
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\sigma\neq[/tex] 10 beats per minute
(b) The value of chi-square test statistics is 35.704.
(c) P-value = 0.4360.
(d) We conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.
Step-by-step explanation:
We are given that a simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute.
If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute.
Let [tex]\sigma[/tex] = population standard deviation for the pulse rates of men.
(a) So, Null Hypothesis, [tex]H_0[/tex] : [tex]\sigma[/tex] = 10 beats per minute {means that the pulse rates of men have a standard deviation equal to 10 beats per minute}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\sigma\neq[/tex] 10 beats per minute {means that the pulse rates of men have a standard deviation different from 10 beats per minute}
The test statistics that will be used here is One-sample chi-square test for standard deviation;
T.S. = [tex]\frac{(n-1)\times s^{2} }{\sigma^{2} }[/tex] ~ [tex]\chi^{2}__n_-_1[/tex]
where, s = sample standard deviation = 10.1 beats per minute
n = sample of men = 36
So, the test statistics = [tex]\frac{(36-1)\times 10.1^{2} }{10^{2} }[/tex] ~ [tex]\chi^{2}__3_5[/tex]
= 35.70 4
(b) The value of chi-square test statistics is 35.704.
(c) Also, the P-value of the test statistics is given by;
P-value = P([tex]\chi^{2}__3_5[/tex] > 35.704) = 0.4360
(d) Since the P-value of our test statistics is more than the level of significance as 0.4360 > 0.10, so we have insufficient evidence to reject our null hypothesis as the test statistics will not fall in the rejection region.
Therefore, we conclude that the pulse rates of men have a standard deviation equal to 10 beats per minute.
Plz help ASAP WILL MARK BRAINLIEST
Answer:
[tex]c = 3a - 2[/tex]
BRAINLIEST PLEASE ... :-)If a base is negative, how will you know whether the answer is positive or negative before evaluating it?
Answer:
Explained below.
Step-by-step explanation:
Assuming that the question is related to exponents.
Consider the expression: [tex]a^{b}[/tex]
Here,
a = base
b = exponent
Consider that the value of base is a negative term.
Then an even exponent will give a positive result.
And an odd exponent will give a negative result.
Consider the following values of b and suppose that a = -x.
For b = 4,
[tex]a^{b}=(-x)^{4}=(-x)\times (-x)\times (-x)\times (-x)=x[/tex]
For b = 3,
[tex]a^{b}=(-x)^{3}=(-x)\times (-x)\times (-x) = -x[/tex]
Answer:
Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.
Step-by-step explanation:
What is the domain of f?
Answer:
[tex]\huge \boxed{\mathrm{A}}[/tex]
Step-by-step explanation:
The domain of a function is all possible values for the value of x.
The denominator in a rational function cannot equal to 0.
[tex]x+2\neq 0[/tex]
Subtracting 2 from both sides.
[tex]x\neq -2[/tex]
The domain of the function is all real numbers except -2.
Nina can ride her bike 63,360 feet in 3,400 seconds, and sophia can ride her bike 10 miles in 1 hour. What is nina’s rate in miles per hour if there are 5,280 feet in a mile? Which girl bikes faster?
Answer:
Nina's rate in MPH: 12.706 miles per hour
Nina is faster than Sophia.
Step-by-step explanation:
For this problem, we will convert feet per second into miles per hour, and then compare Nina's rate to Sophia's rate.
We are given Nina rides at 63360 feet in 3400 seconds. To convert this to miles per hour, we need to know that there are 5280 feet in 1 mile, and 3600 seconds in 1 hour. Now that we now these conversions, let's find the rate in miles per hour.
(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.
So we know that Nina rides her bike at 12.706 miles per hour and are given that Sophia rides her bike in 10 miles in 1 hour.
With this, we can say Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).
Cheers.
Solve for w: -4(w+1)=-24 Please explain this like you would a 2 year old and please explain it so it is the easiest way to solve it and why I would do it like that like for example let’s say divde it by 4 like why would Divde it by 4 once again that was an example
Answer:
Step-by-step explanation:
The first step in solving an equation is to look at it. Identify where the variable is that you're interested in, and see what operations are being performed on that variable.
Here, the variable w has 1 added to it, and the sum is multiplied by -4. The variable is only on the left side of the equation, and is inside parentheses. Inside parentheses, the coefficient of the variable is 1.
These observations tell you that, in some order, you will need to undo the operations of multiplication and addition, and you will have to eliminate parentheses.
You also observe that the multiplication factor of the parentheses (-4) is a factor of the constant on the right side of the equation (-24). This means you have a couple of options for solving this equation:
eliminate parentheses first, using the distributive propertydivide by -4 first, to undo the multiplicationThe second method is actually faster. We'll illustrate that one first.
__
Divide both sides of the equation by -4 to undo the multiplication by -4.
-4(w +1)/(-4) = -24/(-4) . . . . . we have indicated the division we want to do
w +1 = 6 . . . . . . . . . . . . . . . . here is the result of that division
Now, we can add the opposite of +1 to eliminate the constant from the left side. As with all operations on equations, we must do the same thing to both sides. This means we add -1 to both sides of the equation:
w +1 -1 = 6 -1 . . . . . . we have indicated the addition we want to do
w = 5 . . . . . . . . . . . here is the result of that addition
The solution of the equation is ...
w = 5
__
Often, when parentheses are involved, the numbers are such that the solution method is not as simple as what we just did. In those cases, you would take the approach of eliminating parentheses first. For this equation, it looks like this:
-4(w +1) = -24 . . . . . . . given
-4w -4 = -24 . . . . . . . . use the distributive property to eliminate parentheses
We want the variable term by itself, so we need to eliminate the constant -4 that is added on the left. To do that, we add its opposite. This means we add +4 to both sides of the equation.
-4w -4 +4 = -24 +4 . . . . . . indicating the addition of +4
-4w = -20 . . . . . . . . . . . . . the result of adding +4
Here, w is multiplied by -4. We want w by itself, so we want to undo that multiplication. That means we want to divide both sides of the equation by -4.
-4w/(-4) = -20/(-4) . . . . . . indicate the division
w = 5 . . . . . . . . . . . . . . . . the result of doing the division
The solution of the equation is ...
w = 5
_____
Our basic approach is to undo the operations done to the variable, in the reverse of the order in which they are done. In that process, we observe the rules of equality: whatever operation you do to one side of the equation must also be done to the other side. (My teacher called this last rule: "keep the equal sign sacred.")
You can always use the distributive property for factoring, collecting terms, or eliminating parentheses.
The formula for the time it takes to travel a distance of d at an average speed v is (d)/(v)
Tessa ran a 100-meter dash at a speed of about 7.5 meters per second.
What calculation will give us the estimated duration of Tessa's dash in seconds?
Answer:
100/7.5
Step-by-step explanation:
It takes 13.3 s to reach 100 meter.
How to find the time?
The formula for the time it takes to travel a distance of d at an average speed is t = d / v
t = 100 / 7.5
t = 13.33
To calculate time, divide the distance by using pace. To get the gap, multiply pace by time. you could see those equations simplified as s = d / t, wherein s is speed, d is distance, and t is time.
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Find 5 rational numbers between -3/4 and 5/6
Answer:
1/2, 1/3, 1/4, 1/5, 1/6
Step-by-step explanation:
Hope it helps.
Don't forget to click the Brainliest button if you like my answer.
Enter the mixed number as an improper fraction. 9 1/9 =
Answer:
82/9
Step-by-step explanation:
To find the improper fraction
Multiply the denominator by the whole number
9*9 = 81
Add the numerator
81+1 = 82
Put it over the denominator
82/9
Answer:
82/9
Step-by-step explanation:
Multiply the whole number part by the fraction's denominator:
9 1/9
9 x 9 = 81
Add the product to the numerator:
81 + 1 = 82
Then write the result on top of the denominator:
82/9
So the answer is 82/9
Hi . Please show workings Solve for x in : 2(x+4)=50
Answer:
10.5
Step-by-step explanation:
[tex]2(x + 4) = 50 [/tex]
[tex]4x + 8 = 50 [/tex]
[tex]4x = 50 - 8[/tex]
[tex]4x = 42[/tex]
[tex]x = 42 \div 4[/tex]
[tex]x = 10.5[/tex]
Answer:
Simplifying
2(x + 4) = 50
Reorder the terms:
2(4 + x) = 50
(4 * 2 + x * 2) = 50
(8 + 2x) = 50
Solving
8 + 2x = 50
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 2x = 50 + -8
Combine like terms: 8 + -8 = 0
0 + 2x = 50 + -8
2x = 50 + -8
Combine like terms: 50 + -8 = 42
2x = 42
Divide each side by '2'.
x = 21
Simplifying
x = 21
This took a long time to type and i think it is wrong but hope this helps. hint, hint.
Khalid wants to buy a long sandwich for a party. Store A sells a
5-foot sandwich for $42.50. Store B sells a 6-foot sandwich for $49.50.
Which store has the better buy? Show your work.
Answer:
From our analysis stores B has the better buyStep-by-step explanation:
Hey there!!!
In this problem, to know actually the store that has the better buy we need to solve for the cost of 1 foot of sandwich from individual stores.
Stores A
if 5 foot cost $42.50
1 foot will cost x
cross multiplying
x= x= $42.50/5
x= $8.5
Stores B
if 6 foot cost $49.50
1 foot will cost x
cross multiplying
x= x= $49.50/6
x= $8.24
From our analysis stores B has the better buy
What does a letter with a line over it mean
Step-by-step explanation:
The line above the letter means "complement". If X is a set, the the complement of X (denoted by X with a line above it) is the set of all things not in X...If X is a set, then the complement of X (denoted by X with a line above it) is the set of all things not in X.
Sorry if it was complicated
Factor the polynomial expression 1674 - 625x4
Answer:
It isn't factorable.
Step-by-step explanation:
Step 1: Write out expression
-625x⁴ + 1674
From here, the expression is already simplified/factored into it's final form. There is no way to reduce this.
What is the equation of a line perpendicular to y = 2x - 6 that passes through (5, 4)
Answer: y=(-1/2)x-6.5
Step-by-step explanation:
y=2x-6
the perpendicular to this will have the opposite reciprocal slope.
The new equation will be
y=(-1/2)x-b
--------------------------
To find the y-intercept of the equation, we should substitute the point into the equation (5,4)
y=(-1/2)x-b
4=(-1/2)×5-b
4=-2.5-b
b=-6.5
------------------------------
so the equation will be y=(-1/2)x-6.5
A hot-air balloon, headed due east at an average speed of 15 miles per hour at a constant altitude of 100 feet, passes over an intersection (see the figure). Find an expression for its distance d (measured in feet) from the intersection 1 seconds later.
Answer:
The distance is [tex]sqrt{10000+484t^2}[/tex]
Step-by-step explanation:
Given that,
Altitude = 100 feet
Average speed = 15 miles/ hour
We need to calculate the speed in feet/sec
Using formula for speed
[tex]v=15 miles/hour[/tex]
[tex]v=15\times 1.46667\ ft/sec[/tex]
[tex]v=22\ ft/sec[/tex]
We need to calculate the distance in t sec
Using formula of speed
[tex]v =\dfrac{d}{t}[/tex]
Put the value into the formula
[tex]22=\dfrac{d}{t}[/tex]
[tex]d=22t[/tex]
According to figure,
We need to calculate the distance
Using pythagorean theorem
[tex]AC=\sqrt{(AB)^2+(BC)^2}[/tex]
Put the value into the formula
[tex]d=\sqrt{100^2+(22t)^2[/tex]
[tex]d=\sqrt{10000+484t^2}[/tex]
Hence, The distance is [tex]sqrt{10000+484t^2}[/tex]
If m∠ATB = 20°, m∠BTD = 72°, and m∠CTD = 38°, what is m∠ATC?
Answer:
54 degrees
Step-by-step explanation:
Jaycee Alvarez deposits $425 in a savings account at City Bank. The account pays an annual interest rate of 5.5 percent. She makes no other deposits or withdrawals. After three months the interest is calculated. How much simple interest does her money earn?
Answer:
$70.125
Step-by-step explanation:
First multiply $425*5.5/100*3 and you get:
$70.125
If you have 12 minutes to get four math problems done on
a test, how many minutes should you devote to each
problem?
each problem will need to be devoted 3 minutes
Answer:
3 minutes
Step-by-step explanation:
3 minutes because 4x3=12 and there's 12 minutes to finish
A solid cylinderical metal is melted and recast into cubes of metal of side 3cm. The base radius of the initial cylinderical metal is 10.5cm and height is 63cm.How many cubes will be made
Answer:
808
Step-by-step explanation:
First find the volume of the original cylinder. It is given by πr²h:
π * (10.5)² * 63 ≈ 21820.717 cm³
Next find the volume of each cube. It is given by lwh:
3 * 3 * 3 = 27 cm³
Finally, divide the volume of the original cylinder by the volume of each cube to determine the number of cubes:
21820.717 / 27 ≈ 808.1747
Partial cubes are not possible, so the answer is 808.
i need help, please.
Answer:
work shown and pictured
find the slope between (9,3) and (-2,4)
Step-by-step explanation:
Hey, there!
You just need is formula for slope (m) ok.
given that the points are A(9,3)) and B (-2,4).
Using formula for slope,
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{4 - 3}{ - 2 - 9} [/tex]
[tex]or ,\: m = \frac{1}{ - 11} [/tex]
Therefore, the slope of the points A(9,3) and B (-2,4) is (-1/11).
Hope it helps...
Which graph shows all the values that satisfy 2/9x + 3 > 4 5/9 ?
Answer:
Answer Expert Verified
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In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.
Next, you solve the equation by finding x. Just don't mind the inequality symbol:
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
Hoped I helped
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Suponha que um trabalhador ganhe 20, 00 por dia , quando trabalha até 18 h . Após isso , ganha 5 , 00 a mais por hora trabalhada. Num determinado mês, trabalhou 25 dias mais 20 h noturnas , Sabendo que a décima parte dessa quantia foi gasta com transporte e a metade do restante com aluguel , quanto lhe sobrará nesse mês ?
Responda:
270, 00
Explicação passo a passo:
Dado o seguinte:
Pagamento diário até as 18h00
Pagamento por hora trabalhada = 5,00
Em um determinado mês:
Trabalhou 25 dias: (25 * 20) = 500,00
20 horas à noite: (20 * 5) = 100,00
Ganho total = 500 + 100 = 600,00
Despesas:
Transporte = 1/10
= (1/10) × 600 = 60,00
Quantidade restante = (600 - 60) = 540,00
Renda:
1/2 de 540 = 270,00
Valor total restante após a dedução das despesas:
600 - (270 + 60)
600 - 330 = 270,00
The perimeter of a rectangle is 80 inches. The length is 4 inches longer than twice the width. What are the dimensions of the rectangle?
Answer:
length = 28 cmwidth = 12 cmStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 80cm
The length is 4 inches longer than twice the width is written as
l = 4 + 2w
Substitute this into the formula and solve for the width
That's
80 = 2( 4 + 2w) + 2w
80 = 8 + 4w + 2w
6w = 80 - 8
6w = 72
Divide both sides by 6
w = 12 cm
Substitute w = 12 cm into l = 4 + 2w
That's
l = 4 + 2(12)
l = 4 + 24
l = 28cm
Therefore
length = 28 cm
width = 12 cm
Hope this helps you
greg is 10 years older than his brother gabe.he is also 3 times as old as gabe.how old is gabe
Answer:
The answer is below
Step-by-step explanation:
Let us assume that the age of Greg's brother (Gabe) is x years, and let Greg's age by y years. Since Greg is 10 years older than his brother gabe, then:
y = x + 10 (1)
Also. Greg is 3 times as old as Gabe, hence:
y = 3x (2)
From equation 1 and equation 2:
y = x + 10 = 3x
Hence:
3x = x + 10
Subtracting x from both sides gives:
3x - x = x + 10 - x
2x = 10
Dividing by 2:
2x/2 = 10/2
x = 5 years
y = x + 10 = 5 + 10 = 15 years
Therefore Gabe is 5 years old and Greg is 15 years old
Find the measure of b.
0
3
27
Answer:
b= 126°
Step-by-step explanation:
OC= OB (radius of circle)
∠OCB= ∠OBC (base ∠s isos. △)
a= 27°
b= 180° -27° -27° (∠ sum of △OBC)
b= 126°
b= 2c (∠ at centre= 2 ∠ at circumference)
c= b/2 (divide by 2 on both sides)
c= 126° ÷2
c= 63°
8 × p is less then 8 but greater then 0
Answer:
0 < 8p < 8
is this what you're looking for?
1. Mateo is going to solve the equation below.
Which of the following represents the equation
after combining the like terms?
-8x + 23 – 22x + 9 = 182
a. 14x + 32 = 182
b. -30x + 32 = 182
c. 14x + 14 = 182
d. -30x + 14 = 182
Answer: B
Step-by-step explanation: The answer would be B because both the 8x and 22x are both negative so once you add those two together you would get -30x so that cancels out A and C. SO now you move onto 23 and 9 well both of those are positive so you would add those together and get 32 so that cancels out D and only answer left is B
The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 , where x = -5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation is,
-8x + 23 – 22x + 9 = 182
Taking alike terms together we get,
-8x – 22x + 23 + 9 = 182
Solving we get,
– 30x + 32 = 182
Subtracting 32 both the side we get,
– 30x + 32 - 32 = 182 - 32
Solving we get,
– 30x = 150
⇒ x = -5
Thus, The equation that represents -8x + 23 – 22x + 9 = 182 after combining the like terms is b. -30x + 32 = 182 where, x = -5.
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How many solutions does the system have?
2y = 4x + 6
y=2x + 6
Choose 1 answer:
A. Exactly one solution
B. No solutions
C. Infinitely many solutions
Answer:
the answer should be no solution.
amy bought a square table for her kitchen. The area of the table’s surface is 99ft². What is the best approximate length of one side of the table?
What would be the slope for y=-7x + 2
Answer:
-7
Step-by-step explanation:
Hello!
This equation is in slope intercept form. The base equation is
y - mx +b
m is the slope
b is the y-intercept
Since -7 is in place of m -7 is the slope
The answer is -7
Hope this helps!
Answer:
-7x
Step-by-step explanation:
The formula for slope is y=mx+b, m being slope. And in the equation y=-7x+2, -7 is taking the place of m. Therefore, -7x is the answer.