Complete Question
Suppose a particular brand of energy bars has come up with a new recipe. They want to know how many energy bars they need to test for calorie content in order to be 94% confident that the sample mean will be within 3 calories of the true mean? Suppose there is a population standard deviation of 20 calories
Answer:
The value is [tex]n =157 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 3[/tex]
The standard deviation is [tex]\sigma = 20[/tex]
From the question we are told the confidence level is 94% , hence the level of significance is
[tex]\alpha = (100 - 94 ) \%[/tex]
=> [tex]\alpha = 0.06[/tex] \
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.881[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.881 } * 20 }{3} ] ^2[/tex]
=> [tex]n =157 [/tex]
32^(x+4) = 64^(2x-1)
Answer:
Vamos a resolver la ecuación paso a paso.
32x+4=642x−1
Step-by-step explanation:
Resolver el exponente.
32x+4=642x−1
log(32x+4)=log(642x−1)(Sacar el logaritmo de ambos lados.)
(x+4)*(log(32))=(2x−1)*(log(64))
x+4=(
log(64)
log(32)
)*(2x−1)
x+4=1.2*(2x−1)
x+4=2.4x−1.2(Simplificar ambos lados de la ecuación)
x+4−2.4x=2.4x−1.2−2.4x(Restar 2.4x a ambos lados)
−1.4x+4=−1.2
−1.4x+4−4=−1.2−4(Restar 4 a ambos lados)
−1.4x=−5.2
−1.4x
−1.4
=
−5.2
−1.4
(Dividir ambos lados por -1.4)
x=3.714286
Solución:
x=3.714286
Evaluate x=2
F(x)=2x+4
Suppose that the halflife of a substance is 250 years . If there were ir 100 the substance , (a) give an exponential model for the situation, and (b) how much wil years?
can anyone answer this please:(
PLEASE PLEASE HELP!!!!
Answer:
It's A or B but I think B
Step-by-step explanation:
Exercise 3.29. In a school there are four kindergarten classes, with 21, 24, 17 and 28 students. We choose one of the 90 kindergarten students randomly, and denote the number of students in her class by X. Find the expectation and variance of X.
Answer:
Expected mean = 23.2159
Variance = 15.89
Step-by-step explanation:
Given that :
Number of kindergarten students (X) :
21 + 24 + 17 + 28 = 90
P(X):
21/ 90 = 0.233
24/90 = 0.2667
17/90 = 0.1889
28/90 = 0.3111
X : ____ 21 ____24 _____ 17 ______ 28
P(x) : _ 0.233 _ 0.2667 __ 0.1889 __ 0.3111
E(X) = Σ[(p)*p(x)]
(21 * 0.233) + (24 * 0.2667) + (17 * 0.1889) + (28 * 0.3111) = 23.2159
Var(X) : Σ(x²*p(x)) - E(x)²
x² * p(x) = (21^2 * 0.233) + (24^2 * 0.2667) + (17^2 * 0.1889) + (28^2 * 0.3111) - 23.2159^2
554.8667 - 538.97801281
= 15.88868719
= 15.89
if there are 40 seats per row, how many seats are in 90 rows?
Answer:
the answer is 3600
Step-by-step explanation:
90x40=3600
Answer:
3600 seats
Step-by-step explanation:
90 × 40 = 3600
3600 seats
PLEASE HELP QUICK
What is the simplified expression for the expression below?
–1(2x + 3) – 2(x – 1)
–4x + 1
–4x – 2
–4x + 2
–4x – 1
Answer:
-4x - 1
Step-by-step explanation:
i used a calculator and got that
At a hockey game, a vender sold a combined total of 156 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer: They sold 104 sodas and 52 hotdogs
Step-by-step explanation: If we represent sodas as x and hotdogs as y then x+y=156. There is twice as many sodas as hotdogs so x=2y. We can then substitute x for 2y so the equation would be 2y+y=156 or 3y=156. We divide both by three and get y=52 we plug that back in to the equation x=2y and we get x=104. We then check to make sure it is correct and get 104+52=156 and 104/2=52. Hope this helps.
40 is 60% of what number? **ROUND TO THE NEAREST TENTH** *
Answer:
66.7
Step-by-step explanation:
hope this helps
Answer:
40 is 60% of 66.7
Step-by-step explanation:
By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7
hope this helps! =)
slope 1/4 and y intercept is -5
point slope
Answer:
uhhyvygygyggyhygybybybyvtvtv
Angela’s car leaked 6 ounces of oil in 9 days what is the unit rate of the oil leak ??
angelas car leaked=6ounces
angeales car leaked in 9days = 6×9=54
What is the equation of this line in Slope intercept Form?
Answer:
y = x - 5
Step-by-step explanation:
You get 20% off a new jacket that costs 80$ what will you have to spend on that jacket?
Answer:
$64
Step-by-step explanation:
10 percent of 80 dollars is 8 dollars, and 20 percent is 16 dollars, now subtract 16 from 80 dollars and you will get 64 dollars
Answer:
$64
Step-by-step explanation:
anyone give me a hand with this question
what is the value of x in the equation below?
-3-(-8)-(-2)=x
Answer: The X =7
Step-by-step explanation:
So by simplifying both sides of the equation, then isolating the variable you get the answer and find the value of x Hope this Helps
HELPPP PLEASEEE !!! John draws AABD, with CD as the perpendicular bisector of AB such that AACD and ABCD are congruent to each other.
DO
Which statement can John use this figure to prove?
Every isosceles triangle is a right triangle.
The base angles of any triangle are congruent.
The points on the perpendicular bisector of a side of a triangle are equidistant from all of the vertices of the triangle.
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Answer:
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Step-by-step explanation:
It is the last option. The perpendicular bisector theorem states that if a point lies on the bisector of a segment it is equidistant from the endpoints.
Meaning
If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .
The first three choices are incorrect because
1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.
2) The base angles of any triangle can be different or same .
3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.
The statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.
Recall:
The perpendicular bisector theorem states that any point on a perpendicular bisector of the side of a triangle is equidistant from the two endpoints or vertices of the side the perpendicular bisector bisects.From the triangle in the image drawn by John, it means that since CD a perpendicular bisector of side AB, it means that the distance from point D to vertex A and the distance from point D to vertex B are equal.
Therefore, the statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.Learn more here:
https://brainly.com/question/4137998
How can I estimate 26×22
Answer:
Hi if you are simply looking to estimate 26x22 then you could round each number to get 30x20 and that would make 600 your estimate! Hope this helps!
PLEASE HELPPPP ASAP IF YOU THIS
the product of two consecutive odd numbers is 1023
help plz rn fast fastvlook at pic!
Answer:
9/15/19
Step-by-step explanation:
A triangle has side lengths of 15 millimeters, 10 millimeters, and 13 millimeters. What kind of triangle is it?
Answer:The triangle is acute
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
Can someone pls help me right quick hurry pls
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4 in hundreds (400)
3 in ones (3)
2 in tenths (.2)
9 in hundredths (.09)
Please Help
What is the polar form of -9 square root 3 EndRoot + 9 i?
A. 18(cos(120°) + isin(120°))
B. 18(cos(150°) + isin(150°))
C. 324(cos(120°) + isin(120°))
D. 324(cos(150°) + isin(150°))
Answer:
The correct answer is B) 18(cos(150)+isin(150))
Step-by-step explanation:
Hope this helps!
Please help me ASAP
=====================================================
Explanation:
This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.
See the diagram below.
---------------------
A nonvisual approach will have you plug each of the coordinates into the given inequality.
For instance, choice A has x = 0 and y = 2 pair up which plug in to get
y < (-2/3)x + 2
2 < (-2/3)*0 + 2
2 < 2
which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because
y < (-2/3)x + 2
0 < (-2/3)*0 + 2
0 < 2
which confirms the answer we got when we used the visual approach.
Find the equation of a line that passes through the point (2,-5) and is perpendicular to the y-axis. Do not put any spaces in your answer.
Answer:
y=-5
Step-by-step explanation:
Equation of the line
Lines can be expressed in several forms. The slope-intercept form of the line is:
y = mx + b
Where m is the slope of the line and m is the y-intercept.
If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:
y = b
To find the value of b, just substitute the given point:
-5=b
The equation of the line is:
y=-5
Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)
Answer:
The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
Step-by-step explanation:
The standard form of equation is [tex]Ax+By=C[/tex]
Finding slope
Using the given points (0,-4) and (-3,-2) we can find slope using formula:[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}[/tex]
Finding y-intercept
Using point (0,4) and Slope=-2/3 we can find y-intercept
[tex]y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4[/tex]
The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:
[tex]y=mx+b\\y=-\frac{2}{3}x-4[/tex]
Now, standard form of equation will be: [tex]\frac{2}{3}x+y=-4[/tex]
So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
image
Identify a pair of parallel lines in the given figure.
Question 2 options:
A)
p and s
B)
r and q
C)
r and p
D)
r and s
The parallel lines are r and s.
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
There are 4 lines ae shown in figure.
Now,
Since, There are 4 lines ae shown in figure.
We know that,
Parallel lines are those lines that are equidistance from each other and never intersect each other.
And, Here p and s are intersect at a point.
Lines q and r are intersect at a point.
Lines p and r are intersect at a point.
And, Lines r and s are not intersect at any point and equidistance from each other.
Thus, The lines r and s are parallel lines.
Learn more about the parallel lines visit:
https://brainly.com/question/26961508
#SPJ1
Jenn's phone has a fully charged battery. With normal usage, he phone will last 16 hours. How long will her battery last if it only charged 30%?
Can you show the work please, thank you!
The correct answer is 4.8 hours
Explanation:
This mathematical problem can be solved by using the rule of three, which involves finding an unknown value by using three related values. The process is shown below:
1. It is known a fully charged battery (100% battery) lasts 16 hours. This can be represented as 100 = 16. But it is not know how much a 30% battery last; this can be represented as 30 = x.
2. Write all the values
100 = 16
30 = x
3. Cross multiply to create an equation and solve the equation
100 x = 48
x = 480 / 100
x = 4.8
Math plz help
Geometry
Answer:
Okay
Step-by-step explanation:
Since it's a parallelogram, the adjacent angles on the same side is complimentary. Meaning they add up to get 180°.
So,
12x° + 8x° = 180°
20x°= 180°
x°= 180/20
x°= 9°
Hope you understand. Thank you
james went out for a long walk . He walked 3 2/5 of the mile. then he sat down to take rest . After that he walked 5/7 of a mile. how far did he walk together
Answer:
Altogether James walked [tex]4\frac{4}{35}[/tex] miles.
Step-by-step explanation:
The question involves mixed fractions. Mixed fractions are first converted into proper fractions and then any operation can be performed on them.
Given
Distance of first walk = [tex]3\frac{2}{5}[/tex] of a mile
Distance of second walk = 5/7
In order to find how much he walked altogether, we have to find the sum of both fractions.
[tex]Total\ distance = 3\frac{2}{5}+\frac{5}{7}\\= \frac{17}{5}+\frac{5}{7}\\=\frac{17*7}{5*7} + \frac{5*5}{7*5}\\=\frac{119}{35} + \frac{25}{35}\\=\frac{119+25}{35}\\=\frac{144}{35}\\=4\frac{4}{35}[/tex]
Hence,
Altogether James walked [tex]4\frac{4}{35}[/tex] miles.