Answer:
16 should be the correct answer
Rewrite 4 x 6 2/3 as the product of a unit fraction and a whole number
Answer:
The whole number : 3
Fraction : 2/8
I'm pretty sure this is correct
Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
a. How strong is the statistical significance in the claim that on average people in fact lose less than 8 pounds?
Answer:
(a) Since the upper limit of the 99% confidence interval is less than
Step-by-step explanation:
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.
Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
Thus,
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
Learn more about hypothesis testing here:
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#SPJ2
The graph of the equation x ^ 2 + y ^ 2 - 16x + 6y + 14 = 0 is a circle. An equivalent form of this equation is (x - 8) ^ 2 + (y + 3) ^ 2 = M
What is the value of M?
Answer:
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ghanami
Ace
2.9K answers
12.1M people helped
hello :
note :
an equation of the circle Center at the w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : x²+y²-16x+6y+53=0
(x²-16x) +( y²+6y ) +53 = 0
(x² -2(8)x +8² - 8²) +(y² +2(3)x -3²+3² ) +53=0
(x² -2(8)x +8²) - 8² +(y² +2(3)x +3²)-3² +53=0
(x-8)² +( y+3)² = 20
the center is : w(8,-3) and ridus : r = √20
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
un camion se encuentra del lado izquierdo del cero del sistema de referencia, es decir, desde una posicion negativa de -2 km, como el conductor va buscando pasaje se mueve muy lentamente a una velocidad de 10 km/h? escribe la ecuacion horaria.
Veremos que la ecuación que describe el movimiento del camión es:
f(t) = -2km + (10km/h)*t
¿Como encontrar la ecuación de movimiento del camión?Primero debemos recordar la relación:
distancia = velocidad*tiempo.
Entonces, podemos escribir la pocición del camión como:
f(t) = pocición inicial + velocidad*t
Donde t es el tiempo en horas.
Sabemos que:
posición inicial = -2kmvelocidad = 10km/hReemplazando eso obtenemos:
f(t) = -2km + (10km/h)*t
Esta es la ecuación de movimiento del camión.
Sí quieres aprender más sobre ecuaciones de movimiento, puedes leer:
https://brainly.com/question/19365526
If
a
1
=
8
a
1
=8 and
a
n
=
5
a
n
−
1
+
5
a
n
=5a
n−1
+5 then find the value of
a
5
a
5
.
Answer:
55a=
step-by-step explanation:
Answer:
-3125
Step-by-step explanation:
Got it right on delta
The perimeter of a rectangular painting is 298 centimeters. If the length of the painting is 94 centimeters, what is its width?
Step-by-step explanation:
Length = 94 cm
breadth = ?
Perimeter = 298 cm
Now..............
Perimeter = 2 ( l + b )
298cm = 2 ( 94 cm + b )
298 / 2 = 94 + b
149 cm = 94 + b
b = 149 - 94 cm
b = 55 cm
Answer:
Value of it's width is 55 cm .Step-by-step explanation:
In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,
[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]
Where ,
l = length of rectanglew = width of rectangleNow , we are substituting value of length and equating it with given perimeter :
[tex] \longrightarrow \: 2(94 + w) = 298[/tex]
Now, our last step is of calculations . So from here we are calculating ,
[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]
[tex] \longrightarrow \: 94 + w= 149[/tex]
[tex] \longrightarrow \: w = 149 - 94[/tex]
[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]
Therefore, width of rectangular painting is 55 cm .#Keep Learningwhat is the slope of a line (0,2) (-1,-3)
Answer:
The slope of the line is 5.
Step-by-step explanation:
You need to use the slope formula.
Slope Formula: y2 - y1 / x2 - x1
Your coordinates: (0,2) and (-1, -3)
Do -3 - 2 / -1 - 0
This is because the -3 is your y2 and the 2 is your y1
**Same goes with x but different numbers since it is the x coordinates.**
Now, do -3 - 2 first.
The negatives turn into a positive meaning you have to add the two.
But the bigger number 3 is negative so, your answer should contain a negative.
-3 -2 = -5
Do -1 - 0
This should be an addition problem but contain a negative answer.
-1 -0 = -1
-5/-1 as final.
The negatives cancel, and 5/1 is 5
Your slope is 5.
Answer:
The slope of the line is 5
Step-by-step explanation:
Slope(m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y₂ = -3
y₁ = 2
x₂ = -1
x₁ = 0
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-2}{-1-0} \\\\m=\frac{-5}{-1}\\\\m=5[/tex]
Hope this helps!
In ΔABC, m∠A=4x+7 and m∠B=5x−3. What is the m∠A?
Answer:
Angle A = 47⁰
Step-by-step explanation:
Angle A = Angle B { equal sides have equal angles. }
so,
4x + 7 = 5x - 3
7 + 3 = 5x - 4x
10 = x
so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰
CAN SOMEONE HELP ME PLEASE
Answer:
the answer is -4
Step-by-step explanation:
you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.
Evaluate the expression: 4x - 2y if x is 7 and y is -3
Plug in the values of the variables:-
[tex]\sf{4x-2y}[/tex]
[tex]\sf{4(7)-2(-3)}[/tex]
[tex]\sf{28+6}[/tex]
[tex]\sf{34}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
34
Step-by-step explanation:
We have to find the value of the expression ( 4x - 2y ).
Also, given that,
x = 7
y = -3
So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.
Let us solve it now.
4x - 2y
4 × 7 - 2 × -3
28 + 6
34
What is the slope of a line perpendicular to the line with equation y = 4x + 5?
4
−14
−4
−5
Answer:
Slope= 4
Step-by-step explanation:
y=mx+b
4x
4= slope
PLEQSE HELP ME WITH THIS!!
Someone please help me with this
Answer:
A
Step-by-step explanation:
writting only because answer need 20 words
Solve the equation.
y + 6 = –3y + 26
y = –8
y = –5
y = 5
y = 8
Answer:
y = 5
Step-by-step explanation:
y + 6 = –3y + 26
y + 3y + 6 = 26
4y + 6 = 26
4y = 26 - 6
4y = 20
y = 5
I hope this helps!
A small squad of soldiers came to a
river they had to cross. The bridge
was damaged and the water was too
cold. Everyone thought there was no
hope for them to get to their dinner
on time. Just then, Officer Bill saw
two boys on a boat, but the boat was so small that the most it
could hold was only one soldier or only two boys.
All the soldiers got across the river using this boat. How did
they do it?
Answer:
maybe they could be on opposite sides?
Step-by-step explanation:
IM STUCK CAN SOMEBODY SOLVE EQUATION
The area of an isosoles trapezoid is 45cm squared, and it's height is 5cm. Find the perimeter if the length of a leg is 2/3 of the sum of the bases.
Answer:
Perimeter = 42 cm.
Step-by-step explanation:
The 2 legs are equal in length as it is an isosceles trapezoid.
Area of trapezoid = (h/2)(a + b) where a and b are the parallel bases.
So
(5/2) (a + b) = 45
a + b = 45 * 2/5 = 18 cm.
We are given that the length of a leg (L) is 2/3 * sum of the bases, so:
L = 2/3(a + b)
= 2/3 * 18
= 12 cm.
The perimeter = a + b + 2L
= 18 * 2*12
= 42 cm.
You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
will be left after 120 years?
grams
The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years, is 540 grams.
What is half-life?This can be defined as the time taken for half the amount of a radioactive substance to decay.
To calculate the amount of cesium left after 120 years, we use the formua below.
Formula:
R' = R/([tex]2^{T/t}[/tex])............. Equation 1Where:
R = Original amount of CesiumR' = New amount of cesiumT = Total timet = Half-lifeFrom the question,
Given:
R = 8640T = 120 yearst = 30 yearsSubstitute these values into equation 1
R' = 8640/([tex]2^{120/30}[/tex])R' = 8640/[tex]2^{4}[/tex]R' = 8640/16R' = 540 grams.Hence, The mass of cesium left afer 120 years is 540 grams.
Learn more about half-life here: https://brainly.com/question/25750315
Find the exact value of tan(-pi/12)
Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)
answer: -2 + sqrt(3)
Which matrix represents the system of equations shown below?
9x + 5y = -16
2x - 10y = - 48
Answer:
Step-by-step explanation:
The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:
[tex]\left[\begin{array}{ccc}9&5\\2&-10\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}-16\\-48\\\end{array}\right][/tex]
When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.
The possible outcomes for tossing a coin four times are shown below.
If a coin is tossed four times, what is the probability of getting exactly three heads?
A. 1/3
B. 1/2
C. 1/4
D. 1/8
Step-by-step explanation:
I think that B IS CORRECT BECAUSE EVERY TIME you toss the coin there is half chance of getting tail and half of head
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
what is the solution to 2x + 5 = 6x – 5? Show your work.
evaluate the equation: F( 2 ) =
Answer:
3
Step-by-step explanation:
it's basically asking what is the y value that corresponded to x = 2
that value is 3.
Can someone please answer this for me i will mark you the brainliest
A cylinder has a radius of 6 m and a height of 11 m
what is the approximate area of the cylinder
A: 527.5 m2
B: 640.6 m2
C: 414.5 m2
D: 1243.4 m2.
Answer:
B!
Step-by-step explanation:
2 times pie times 6 times 6 plus 11 equals 640.9
Jim can't remember the last digit of his best friend's phone number. He plans to just dial the number and guess the last digit. What's the probability that he'll dial the correct number in the first 2 tries?
a) 1/10
b) 1/45
c) 17/10
d) 1/5
e) 2/5
Answer:
D.
Step-by-step explanation:
1) the required probability can be calculated as sum of two probabilities:
P=p1+p2, where p1 - when the 1st attempt is correct, p2 - when the 2d attempt is correct;
2) p1=1/10; p2=1/9, then the required probability:
P=1/10 + 1/9 ≈ 1/5.
solve for a ~
[tex]a {}^{2} - 5a + 6 = 0[/tex]
thankyou ~
Answer:
Hi there!
Given equation :-[tex]\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}[/tex]
Now=> By splitting the middle term
=> [tex]\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}[/tex]
=> [tex]\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}[/tex]
=> [tex]\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}[/tex]
We get ,=> [tex]\:\sf{a\:=\:2\: and\: a\:=\:3}[/tex]
[tex]\:\mathsf{Hope\:this\:helps\:you!\::)}[/tex]
Thank you!
Answer:
[tex]a = 3 \: \: \: and \: \: a = 2[/tex]
Step-by-step explanation:
⬇
[tex]a^{2} - 3a - 2a + 6 = 0[/tex]
⬇
[tex]a \: (a - 3) \: \: (a - 2)[/tex]
⬇
[tex]{}\ a - 3 = 0 \\ a = 2{}[/tex]
Evaluate −6a^3+8a^2+8a+1, when a=5.
Answer:
-509
Step-by-step explanation:
1. Subsitute 5 for a in the expression. -6(5)^3+8(5)^2+8(5)+1
2. -6(125)+8(25)+40+1
3. -750+200+41
4. -509
Un numero disminuido en 18 es igual a uno. Cual es el nume
Answer:
19
Step-by-step explanation:
18 + 1 = 19
What’s the answer????
Answer:
i think its c
Step-by-step explanation:
sorry if im worng
Answer i believe its a or d
Step-by-step explanation:
im not to sure but i did try to do the math on it so.
how do you simplify (y+z)^3
Answer: y3+3y2z+3yz2+z3
Step-by-step explanation:
(y+z)3
=(y+z)*(y+z)*(y+z)
=(y+z)(y2+2yz+z2)
=(y)(y2)+(y)(2yz)+(y)(z2)+(z)(y2)+(z)(2yz)+(z)(z2)
=y3+2y2z+yz2+y2z+2yz2+z3
=y3+3y2z+3yz2+z3