Answer:
1,560
Step-by-step explanation:
What’s the volume of a cylinder with a base of 25 and height of 6
A soft-drink manufacturer purchases aluminum cans from an outside vendor. A random sample of 70 cans is selected from a large shipment, and each is tested for strength by applying an increasing load to the side of the can until it punctures. Of the 70 cans, 58 meet the specification for puncture resistance. Find a 95% confidence interval for the proportion of cans in the shipment that meet the specification. Round the answers to three decimal places.
Answer:
The 95% confidence interval for the proportion of cans in the shipment that meet the specification is (0.741, 0.917).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
70 cans, 58 meet the specification for puncture resistance. This means that [tex]n = 50, \pi = \frac{58}{70} = 0.829[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.829 - 1.96\sqrt{\frac{0.829*0.171}{70}} = 0.741[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.829 + 1.96\sqrt{\frac{0.829*0.171}{70}} = 0.917[/tex]
The 95% confidence interval for the proportion of cans in the shipment that meet the specification is (0.741, 0.917).
Line v has a slope of 4/9 Line w is parallel to line v. What is the slope of line v?
Answer:
4/9
Step-by-step explanation:
it is parallel to it ;)
Is this a good app for a college student I’m 55 and returning to college after 14years and I’m taking Pre-Med college math 110 and 155
Answer:
Yes it is
Step-by-step explanation:
Its good id say you get a good change of finding your answers here
How do I add 1/8 + 2/6
Answer:
3/24 + 4/24 = 7/24
Step-by-step explanation:
Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.
Kimberly worked for 2 weeks. The shaded parts of the model represent the fraction of each week she worked from home.
Which expression can be used to determine the number of weeks Kimberly worked from home over these 2 weeks?
Answer
she worked 1 week and 1 day
Step-by-step explanation
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
Answer:
Step-by-step explanation:
An angle measures 86.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
nsksnekwksnskswkwksks
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Lee's family had a garden in the shape of a right triangle. The total area of the garden is 16 square feet. If they expand
the garden to form a triangle with twice the base
and twice the height, by how much will they increase the size of their
garden?
O 16 square feet
• 32 square feet
O
48 square feet
64 square
feet
Answer:
48 square feet
Step-by-step explanation:
Given
Before expansion
[tex]A_1 = \frac{1}{2}bh[/tex] --- area of a triangle
[tex]A_1 = 16ft^2[/tex] --- value of the area
After the base and height were expanded, the area becomes:
[tex]A_2 = \frac{1}{2}BH[/tex]
Where
[tex]B = 2b[/tex]
[tex]H = 2h[/tex]
Substitute 2b for B and 2h for H in [tex]A_2 = \frac{1}{2}BH[/tex]
[tex]A_2 = \frac{1}{2} * 2b * 2h[/tex]
[tex]A_2 = \frac{1}{2} * 2*2*b*h[/tex]
[tex]A_2 = \frac{1}{2} * 4*b*h[/tex]
Rewrite as:
[tex]A_2 = 4 * \frac{1}{2} *b*h[/tex]
[tex]A_2 = 4 * \frac{1}{2}bh[/tex]
Recall that: [tex]A_1 = \frac{1}{2}bh[/tex]
So, we have:
[tex]A_2 = 4 * A_1[/tex]
Substitute 16 for [tex]A_1[/tex]
[tex]A_2 = 4 * 16[/tex]
[tex]A_2 = 64[/tex]
So, the area is [tex]64ft^2[/tex] after the dimensions were expanded
The area increased by:
[tex]Increment = A_2 - A_1[/tex]
[tex]Increment = 64 - 16[/tex]
[tex]Increment = 48[/tex]
It increased by [tex]48ft^2[/tex]
Raul used the steps shown below to solve the equation. In which step did Raul make a mistake?
5x-3(2x+7)=2x+9
Step 1: 5x-6x-21=2x+9
Step 2: -11x-21=2x+9
Step 3: -12x=30
Step 4: x=-30/12
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:The answer is B, step two
Step-by-step explanation:5x-6x equals to -1x
Given (4,1) and slope=2, write the equation in slope-intercept form
Answer:
y = 2x-7
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
y-1 = 2(x-4)
Put into slope-intercept form:
y = 2(x-4) + 1
y = 2x - 7
10% of the total time at school out of 360 minutes a day , how much time was spend at lunch ?
Answer:
36 minutes
Step-by-step explanation:
360/10=36 (percent is division of the number)
Which of the following have both 2 and −5 as solutions?
Answer:
Picture pls
Step-by-step explanation:
Answer:
Need more
Step-by-step explanation:
» Round 13.045 to the nearest whole number.
Answer:
13
Step-by-step explanation:
Have a good day
In triangle ABC, the measure of the exterior angle at point B is 100°. If m∠A is 4 times larger than m∠c, FIND m∠c
pleaseeeeeeeeee!!!!!
Answer:
m<c = 20º
Step-by-step explanation:
We use these following definitions:
The sum of an interior angle with its exterior is of 180º.
The sum of the three interval angles of a triangle is 180º.
The measure of the exterior angle at point B is 100°.
This means that the measure of the interior angle is: 180 - 100 = 80º
m∠A is 4 times larger than m∠c
This means that the measure of angle c is x, and the measure of angle a is 4x. The other angle, B, is 80º. So
[tex]x + 4x + 80 = 180[/tex]
[tex]5x = 100[/tex]
[tex]x = \frac{100}{5}[/tex]
[tex]x = 20[/tex]
The measure of angle C is 20º.
a metal pile is 500cm long correct to the nearest centimeter the pole is cut into rods each of length 5.8cm correct to the nearest millimeter calculate the largest rod the pole can be cut into
Answer:
86 pieces
Step-by-step explanation:
Given
[tex]Pole = 500cm[/tex]
[tex]Pieces = 5.8cm[/tex]
Required
Determine the largest number of rods
To do this, we simply divide the length of the pole by the length of each piece.
[tex]Number = \frac{Pole}{Pieces}[/tex]
[tex]Number = \frac{500cm}{5.8cm}[/tex]
[tex]Number = \frac{500}{5.8}[/tex]
[tex]Number = 86.2068965517[/tex]
Round down
[tex]Number = 86[/tex]
I don't know how to find the slope and y intercept form y=-9x+15
Answer:
Slope=-9, y-intercept=15
Step-by-step explanation:
The slope is always with the x when in slope intercept form, and the y-intercept is the constant (the number with no variable).
Answer:
Slope: 9 y-Intercept Form: 15
Step-by-step explanation:
The formula for slope is y=mx+b. Mx is the slope and b is the y-intercept. Because your equation is written in this form, you can easily find the slope and y-intercept which are 9 and 15. I hope this helps :)
x² - 121
What is a factored form of this expression
Answer:
(x+11)(x-11)
Step-by-step explanation:
(x+11)(x-11)
Answer:
(x+11)(x-11)
Step-by-step explanation:
If you factor it out, it works.
Find mZVUT if IZAUT = 88
and mZVUA = 55°.
T
U
V
9514 1404 393
Answer:
143°
Step-by-step explanation:
Angle VUT is the sum of the angles into which it is divided.
∠VUT = ∠VUA +∠AUT
∠VUT = 55° +88°
∠VUT = 143°
a new shirt costs $14.99. If the shirt is on sale for 1/5 off it price,about how much would you save?
Answer:
about $3.00
Step-by-step explanation:
14.99 x 1/5 = 2.998
round it
3.00
Answer:
you would have 3.00
Step-by-step explanation:
round it up
which polynomial represents the difference below? (8x^2+9)-(6x^2+2x+2)
Answer:
The polynomial is 2 x² - 2x + 7
Step-by-step explanation:
Given polynomial
(8 x² + 9 ) - (6x² +2x +2)
= 8 x² +9 - 6x² - 2x -2
= 8x² - 6x² - 2x + 9-2
= 2 x² - 2x + 7
The polynomial is 2 x² - 2x + 7
Q2) A meat pie contains chicken and turkey in the ratio 4 : 1. ( 3 marks)
The pie contains 300 g of chicken.
How much turkey is in the pie?
How much meat is there altogether in the pie?
Plz i begggg
please
PLZ PLZ HELP
I WILL MARK YOU BRILL
Answer:
Median is 3
Mean is 2.8
Im 95% sure this is correct, though if you want to double check
To find the median you would line all the numbers in order from least to greatest, then usually I would draw lines connecting the first to the last until each is paired, if it is a single digit left over then it the median is that digit, it its two left then you add them together and divide by two for the median.
For the mean add all the numbers together and divide by the total number of numbers.
Step-by-step explanation: In your problem, we're finding the mean and median. Let's do it step-by-step.
1. To find the Median, we arrange the data in an ascending order and it's middle value. If the numbers of values is an even number (2, 4, 6, 8, 10), the median will be the average of the 2 middle numbers.
Therefore, the Median is 3.
2. The Mean is the set of numbers of the sum divided by the number of terms.
Therefore, the Mean is 2.8.
solve similar triangles (advanced) solve for x
Step-by-step explanation:
this is the answer of given question
I really need help please
Answer:
50°
Step-by-step explanation:
the angles should add up to 180. there is a 90° angle abd a 40° angle which adds up to 130. 180-130 gives you rour missing angle if 50°.
Create a simple ER model depicting entities and relationship lines for each data scenario.
A college needs to track placement test scores for incoming students. Each student can take a variety of tests, including English and math. Some students are required to take placement tests because of previous coursework.
Answer:
Please find the ER model in the attachment file.
Step-by-step explanation:
I have to find out what m
how do I make another similar figure
1/3g -3 = -9 I need help
HELP PLEASE ASAP MARKING BRAINLY
With the knowledge that m∠1 = 81°, let's use these relationships to find the rest of the angles:
1 and 3 are vertical: their angle measures are the same, so m∠3 = 81°1 and 4 are corresponding: their angle measures are also the same, so m∠4 = 81°Finally, 1 and 2 are supplemental: their angle measures add up to 180°, so 81 + m∠2 = 180, making m∠2 = 99°