Answer:
Cube
Step-by-step explanation:
General Logs Banana Bombs cereal is sold in 10.40 ounce packages. Because the cereal is sold by weight, the number of pieces of Banana Bombs varies from box to box. A random sample of 19 boxes of Banana Bombs was sampled and the number of pieces in each box was counted. The sample mean for 19 boxes was 696.58. The quality control engineer knows from the experience that population standard deviation is assumed to be 12.33 and that the number of pieces of Banana Bombs arenormally distributed.a.Construct a 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages.
Answer:
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{12.33}{\sqrt{19}} = 7.28[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 696.58 - 7.28 = 689.3 pieces
The upper end of the interval is the sample mean added to M. So it is 696.58 + 7.28 = 703.86 pieces
The 99% confidence interval for the true mean number of Banana Bombs in 10.40 ounce packages is between 689.3 and 703.86.
The leading digit cannot be zero and the number must be a multiple of 3
Determine the equation for the line that has a slope of -2 and a y intercept of 5
50 x 50 + 100 - 43 =
Answer:
2557
Step-by-step explanation:
50x50+100-43
2500+100-43
2600-43
2557
There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Answer:
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Step-by-step explanation:
The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
There are 797 identical plastic chips numbered 1 through 797 in a box.
This means that [tex]a = 1, b = 797[/tex]
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?
[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
PLEASE HELP!
F.11
G.12
H.22
J.24
Answer:
G. 12
Step-by-step explanation:
5/10=(x+5)/(3x+3)
1/2=(x+5)/(3x+3)
Cross multiply
3x+3=2x+10
x=7
AC=x+5=12
Please help me math inequality grade 8
Answer: x > 2/3
Step-by-step explanation:
-1 - x/2 < x
Simplify:
-1/2x + 1 < x
Subtract x from both sides:
-1/2x + 1 - x < x - x
-3/2x + 1 < 0
Subtract 1 from both sides:
-3/2x + 1 - 1 < 0 - 1
-3/2x < -1
Multiply both sides by 2/(-3):
2/(-3) (-3/2) < 2/(-3) (-1)
x > 2/3
3x+5=12-7x solve? Help
Answer:
3x + 5 = 12 - 7x
⇒ 3x = 12 - 5 - 7x
⇒ 3x = 7 - 7x
⇒ 3x + 7x = 7
⇒ 10x = 7
⇒ x= 7 ÷ 10
⇒ x = 0.7
What is the area of this figure ?
I don't see a figure, but to find area use the formula:
A= W x H
(W= width H= height)
5
Find two numbers with a sum of 15 and a difference of 3.
Step-by-step explanation:
let the no be x and y
x+y=15
y=15-x.......eqn i)
x-y=3..........eqn ii)
putting value of y from eqn i ) to eqn ii)
x-y=3
x-(15-x)=3
x-15+x=3
2x-15=3
2x=18
x=9
no,putting value of x in eqn i)
y=15-x
y=15-9
y= 6
So,the value of x is 9 and y is 6
1. Use the triangle below to determine the values indicated:
Answer:
A. Sine Y = 20 / 29
B. Cos Y = 21 / 29
C. Tan Y = 20 / 21
D. Sine Z = 21 / 29
E. Cos Z = 20 / 29
F. Tan Z = 21 / 20
Step-by-step explanation:
A. Determination of Sine Y
Opposite = 20
Hypothenus = 29
Sine Y =?
Sine Y = Opposite / Hypothenus
Sine Y = 20 / 29
B. Determination of Cos Y
Adjacent = 21
Hypothenus = 29
Cos Y =?
Cos Y = Adjacent / Hypothenus
Cos Y = 21 / 29
C. Determination of Tan Y
Opposite = 20
Adjacent = 21
Tan Y =?
Tan Y = Opposite / Adjacent
Tan Y = 20 / 21
D. Determination of Sine Z
Opposite = 21
Hypothenus = 29
Sine Z =?
Sine Z = Opposite / Hypothenus
Sine Z = 21 / 29
E. Determination of Cos Z
Adjacent = 20
Hypothenus = 29
Cos Z =?
Cos Z = Adjacent / Hypothenus
Cos Z = 20 / 29
Determination of Tan Z
Opposite = 21
Adjacent = 20
Tan Z =?
Tan Z = Opposite / Adjacent
Tan Z = 21 / 20
2x3/12 as a fraction
Answer:
1/2
Step-by-step explanation:
2*3=6
6/12=1/2
Answer:
[tex]\frac{1}{2}[/tex]--> 1/2
Step-by-step explanation:
3x2=6. half of 12 is 6 and so you would make it 6/12 or aka 1/2
Consider the non-right triangle below.
Suppose that m∠BCA=71∘, and that x=31 cm and y=50 cm. What is the degree measure of ∠ABC?
m∠ABC=
Answer:
m<ABC = 71°
Step-by-step explanation:
Given:
m<BCA = 71°
x = 31 cm
y = 50 cm
Required:
m<ABC
Solution:
First, find AB, using Cosine Rule:
AB² = x² + y² - 2xy*Cos m<ABC
Plug in the values
AB² = 31² + 50² - 2(31)(50)*cos 71
AB² = 3,461 - 1,009.26128
AB² = 2,451.73872
AB = √2,451.73872
AB = 49.5150353 ≈ 50 cm
✔️Since AB ≈ 50 cm, and AC is also 50 cm, it means the triangle is an isosceles triangle.
Therefore, the base angles of ∆ABC, <ABC and <BCA, would be congruent.
Therefore,
m<BCA = m<ABC = 71°
m<ABC = 71°
Which graph shows a dilation?
how do you make like terms? thank you
Answer:
Like terms are terms whose variables are the same. In other words, terms that are "like" each other. For example, 2x and 3x are like terms. Furthermore, 3y² and 4y² are also like terms. If two factors are like terms they can be combined.
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
please help!!! :( i really need help
Answer:
(2x + 40) - 2
(x ÷ 5) - 14
(x ÷ 2) - 18
(x + 3) + 9
3x + 12
(x ÷ 2 + 3) + 12
4 * 2x or 8x
(x ÷ 3) - 5
3x + 5
6x - 13
We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal. or
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Answer:
1) (2x + 40) - 2
2) (x ÷ 5) - 14
3) (x ÷ 2) - 18
4) (x + 3) + 9
5) 3x + 12
6) (x ÷ 2 + 3) + 12
7) 4 * 2x or 8x
8) (x ÷ 3) - 5
9) 3x + 5
10) 6x - 13
Step-by-step explanation:
Use intercepts to graph the linear equation 3x - y = -5.
x intercept
y intercept
step by step
Answer:
x intercept =(-5/3,0)
y intercept = (0,5)
Step-by-step explanation:
FOR THE X INTERCEPT:
-plug 0 in for the y value because the y value is 0 at the x intercept.
* 3x-0=-5 ---> 3x=-5 -----> x=-5/3 while y = 0
FOR THE Y INTERCEPT
-do the same thing as the x intercept, but instead of making y 0, make x 0.
* 3(0) -y=-5 ----> 0-y=-5 -----> -y=-5 ------->y=5 while x=0
need help with thiss guys!!!
n + 9 = 14 solve isolate the variable
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
n + 9 = 14
=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]
=> n = 5 (Ans) [ Variable isolated]
loan or 6075450 from a bank and collected 9037680 as donation. How much is
the society atill short or
18. A man had 10072540 with him. He gave 4836080 to his wife, #3964790 to his son and
the rest to his daughter, How much money was received by the daughter?
10. The cost of a
Answer:
His daughter received $ 1,271,760.
Step-by-step explanation:
Given that a man had $ 10,072,540 with him, and he gave $ 4,836,080 to his wife, $ 3,964,790 to his son and the rest to his daughter, to determine how much money was received by the daughter, the following calculation must be performed:
10,072,540 - 4,836,080 - 3,964,790 = X
5,236,460 - 3,964,790 = X
1,271,670 = X
Thus, his daughter received $ 1,271,760.
can somebody help me?
Answer:
D
Step-by-step explanation:
Simplify the expression by combining like terms:
-5y+2y
Answer:
Step-by-step explanation:
You can think of it like adding two regular numbers, but you have to keep the y so:
-5y + 2y = -3y
Please hurry it’s missing
A new park is built with a 3/4 mile trail around a lake. The city wants to include a bench every 1/8 of a mile. How many benches are needed.
Answer:
6 benches are needed
Step-by-step explanation:
3/4= 6/8
1/8 goes into 6/8, 6 times so,
6 benches are needed on the 3/4 mile trail
How many inches are equal to 16 feet
Step-by-step explanation:
16 feet is equal to 192 inches.
Hope it helps :)❤
Answer:
192 inches is equal to 16 feet.
(Hope this helps! Btw, I answered first. Brainliest please! :D)
Answer this correctly I'll give brainalist + 10 points
Answer:
22
Step-by-step explanation:
22.5 is more accurate
In ΔLMN, l = 810 cm, m = 620 cm and ∠N=166°. Find the length of n, to the nearest centimeter.
Answer:
1420
Step-by-step explanation:
delta math
The required length of n is 1419.5 cm which is determined by the Law of Cosines.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
In triangle ΔLMN,
l = 810 cm, m = 620 cm and ∠N=166°.
We have to determine the length of n
The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.
n² = l² + m² − 2lm cos(N)
Substitute the values in the above formula and solve for n
n² = 810² + 620² − 2 × 810 × 620 × cos(166°)
n² = 810² + 620² − 104400 × cos(166°)
n = ±1419.5
n = 1419.5, and n = - 1419.5
Neglected the value of n = - 1419.5 because length should not be negative.
n = 1419.5 cm
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ2
Do you help elementary school age children need help explaining a math problem to help him.
Answer:
yes
Step-by-step explanation:
If you post a question I will help anyone.
Answer:
I would love to help anyone and I wouldn't judge the person's age. You can ask me any math question and I will have an answer for you
i will give brainliest to the right answer:)
Answer:
i gussing add them together
Step-by-step explanation:
the average of 5 consecutive number is 15 and if next two number also included then what will be the effect on average
Answer:
The average of these numbers will rise to 16.
Step-by-step explanation:
Given that the average of 5 consecutive number is 15, to determine what would be the effect on the average if the next two numbers were also included, the following logical reasoning must be performed:
13 + 14 + 15 + 16 + 17 = 75/5 = 15
Thus, if the numbers 18 and 19 are added, and then this result is divided by 7, the following average is obtained:
(75 + 18 + 19) / 7 = X
112/7 = X
16 = X
Thus, the average of these numbers will rise to 16.