Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]
The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).
A similar problem is given at https://brainly.com/question/16807970
5.f(1)+5.g(9)=
Please answer the questions
Answer:
5f+45g
Step-by-step explanation:
Simplify
5*f(1) = 5f
5*g(9) = 45g
5f+45g
Which expression shows the distance on the number line between −3 and −10 ?
Answer:
D. |-3 - (-10)|
Step-by-step explanation:
what is the solution of the equation w^2=4/9? show work.
Answer:
w = ± [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
w² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )
w = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]
Then
w = - [tex]\frac{2}{3}[/tex] or w = [tex]\frac{2}{3}[/tex]
make y the subject of each of y-p=m
Answer:
y=m+p
Step-by-step explanation:
take the p to the other side.
p crosses = sighn and becomes +
hence ans = y=m+ p
Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.
Answer:
(m-7) * 6
Step-by-step explanation:
you follow the statement from left to right. You see that there's a product so you write a product sign
*
then you know its the difference of m-7 on one side and 6 on the other getting
(m-7) * 6
PLS HELP ASAP ITS FOR MY ASSIGNMENT DUE RN!!! WHOEVER ANSWERS FIRST GETS BRAINLIEST, 5 STARS, AND A THANKS!!!!
[tex]\\ \sf\longmapsto 9\dfrac{7}{11}-(5+1\dfrac{1}{2})[/tex]
[tex]\\ \sf\longmapsto4 \dfrac{7}{11}-1\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto 4\dfrac{14}{22}-1\dfrac{11}{22}[/tex]
[tex]\\ \sf\longmapsto 3\dfrac{3}{22}[/tex]
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
---
We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
--
Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
Which of the following could be the measure of the angle below
Answer:
-180
Step-by-step explanation:
its a straight line
What is an equation of the line that passes through the points (6, 2)and (-6, -8)
Answer:
Step-by-step explanation:
(-8 - 2)/(-6 - 6)= -10/-12= 5/6
y - 2 = 5/6(x - 6)
y - 2 = 5/6x - 5
y = 5/6x - 3
for a brainlist pls answer
Find the intercepts of the given equation. To earn full credit, show your work using a method explained in the Orientation.
Answer:
[tex]x=-2y+10[/tex]
Step-by-step explanation:
Step 1: Flip the equation.
Step 2: Add -5 to both sides.
Step 3: Divide both sides by (-1)/2.
A pot contains 3 1/3 cups of oatmeal.
How many 3/5 cup servings is this? How much will be left
Answer:
2 11/15
Step-by-step explanation:
Hope this helps please mark brainliest if I helped! Thanks
I need some help please. I don't understand this. :)
Answer:
i dont know sorry
Step-by-step explanation:
pls ask someone else thanks have a nice day
You can buy a seat cushion at the College Softball World Series for $4. They
paid $2.50 to have them made, and they make a profit of $300 when sold out.
How many seat cushions did they have made?
Answer:
$118.40
2.50x Plus 4 Equal 300
2.50x Equal 296
2.50x/2.50 Equal $118.40
PLEASE TELL ME IF I AM WRONG!x^3 - 3x^2 + 4x - 12
Answer:
(x^2 + 4)(x - 3).
Step-by-step explanation:
I'm guessing you want to factor this.
You can do it by grouping:
x^3 - 3x^2 + 4x - 12
= x^2(x - 3) + 4(x - 3)
= (x^2 + 4)(x - 3).
Solve the equation: (5y + 2)(y - 3) = -13(2 + y)
Answer:
2i
Step-by-step explanation:
Distribute:
(5y + 2)(y - 3)
5y^2-15y+2y-6
Which can be simplified into 5y^2-13y-6
Now the equation now looks like this: 5y^2-13y-6=-13(2+y)
For -13(2+y) multiply -13 with 2+y
Which is -26-13y
5y^2-13y-6=-26-13y
Simplify:
5y^2+20
Which can be simplified into 5(y^2+4)
y^2+4=0
y^2=-4
y=2i
Hope this helps!
simplify √ 18 + √ 20 - √ 45
Answer:
3√2 - 4√5 -
ig this is the answer
Answer:
3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]
= 3[tex]\sqrt{2}[/tex]
---------------------------
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{5}[/tex]
------------------------
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]
= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms
= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]
Finding slopes. Please do as many questions as you can.
Answer:
Step-by-step explanation:
slope are hard tbh
pls help asap MIDSEGMENTS
Answer:
tttttttttttttttttttttttttttttttttttttttttttttt
What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
your answer to the nearest thousandth.
Answer:
376.991 cm²
Step-by-step explanation:
[tex]SA_{cylinder} = 2\pi r^{2} + 2\pi rh[/tex]
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
Derive Surface Area of A CylinderIf you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
Find the term-to-term rule of this sequence:5,6,8,12
Answer:
5,6,8,12,20,36,68
What are the names of these polygons?
a)
b)
c)
d)
can anyone help pls?
Please help! 20 points! Will give brainliest!
Answer:
2 and 4 are correct
Step-by-step explanation:
Hope this helps!❄︎
What is it called when heat and pressure change one type of rock into another? (100 points)
a metamorphism
b erosion
c deposition
d crystallization
Answer:
A: metamorphic
Step-by-step explanation:
Answer:
it's a
Step-by-step explanation:
I read it in a textbook
（︶^︶）Brainliest for everyone!!!! ohh wait ????
Answer:
[tex]\frac{81}{256}[/tex]
Step-by-step explanation:
[tex](\frac{3}{4})^4 \\\rule{150}{0.5}\\\\\text{Note the exponent rule: }( \frac{a}{b}) ^c = \frac{a^c}{b^c} \\\rule{150}{0.5}\\\\\frac{3^4}{4^4}\\\\\rightarrow 3^4 = 81\\\rightarrow 4^4 = 256\\\\\boxed{\frac{81}{256}}\\\\\text{The answer is already in it's simplest form.}[/tex]
WILL GIVE LOTS OF POINTS HELP SOLVE SOON, NUMBER 7
Answer: 4x + 3 = 39
Step-by-step explanation:
Because you don't know how much each pizza costs, you can write it as x.
You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.
That added up should equal 39 because thats how much he spent.
Answer: The answer is C ( 4x + 3 = 39 )
Step-by-step explanation:
4 = number of Pizzas. x = price of pizza. 3 = price of chips. 39 = total of 4 pizzas and chips together.
1) 4x + 3 = 39
2) 4x = 39 - 3
You will seperate the variable(4x) and the constants(3 and 9) So, you move (+3) to the other side making it negative. Then, you subtract (39-3) which will equal to (36)
4) 4x = 36
5) x = 36/4
You want to move the coefficient(4) to the other side. Thus, will make it a division becaue the oppisite of multiplication is division. So you cancel it out from x because 4/4 is 1.
6) x = 9
You divided 36/4 which will equal to 9
7) 4(9) + 3 = 39
please answer this for me!!
Answer:
x = 40
y = 8
Step-by-step explanation:
3x-9 = 2x+31
3x-2x = 31+9
x = 40
4y+5 = 2y+21
4y-2y = 21-5
2y=16
y=8
Jane’s bank account grew from $2175 to $2262. What was the percent increase in her account?
Answer:
I believe it increased by 10%
Step-by-step explanation:
Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
l² = x² + y².In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
(dx/dt) = 19 ft/s(dy/dt) = -15 ft/sTherefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
https://brainly.com/question/12559989
Create and solve a problem involving the number 7.52 million that would require you to divide.
Answer:
7.52 million divided by 1
Step-by-step explanation:
Write two expressions for the perimeter of the figure.
Answer:
(a) 5 + 7 + 6x + 8x + 6
(b) 18 + 14x
Step-by-step explanation: