Answer:
0.5 oz
Step-by-step explanation:
You want the greatest possible error associated with the measurement 19 oz.
Measurement errorThe possible error is generally considered to be half the place value of least-significant digit. Here, the least significant digit has a place value of units, so the greatest error is 1/2 unit, or 0.5 ounces.
__
Additional comment
We know that values of 18.5 oz up to 19.4999... oz will round to 19 oz. That is why the greatest error is considered to be 0.5 oz.
In practice, there can be some difficulty associated with knowing that a value is 18.5 instead of 18.49. Hence real-world error may actually be slightly larger than 0.5 oz. In math, we ignore that case.
A bottled water distributor wants to determine whether the mean amount of water contained inâ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.008 gallon. You select a random sample of 50 bottles, and the mean amount of water perâ 1-gallon bottle is 0.995 gallon.
Required:
a. Is there evidence that the mean amount is different from 1.0 gallon?
b. What is the test statistic?
c. Compute theâ p-value and interpret its meaning.
d. Construct a 95% confidence interval estimate of the population mean amount of water perâ 1-gallon bottle.
Answer:
1. There is evidence that mean is different from 1.0 gallon
2. test statistic = -4.42
3. p value = 0.00001
4. 0.9928,0.9972
Step-by-step explanation:
h0: u = 1.0
h1: u not equal to 1.0
alpha = 0.05
sd = 0.008
n = 50
mean = 0.995
standard error se = 0.008/√50 = 0.00113
test statistics calculation
0.995-1/0.00113
= -0.005/0.00113
= -4.42
p value calculation
using the z test statistics and alpha = 0.05
the p value using a p value calculator = 0.00001
0.00001<0.05
so we Reject the null hypothesis
we conclude there is enough evidence that mean is different from 1.0
95% confidence interval
Z alpha/2 = 0.025
we find z value using excel function
NORMSINV (0.025)
|Z| = 1.96
Standard error se = 0.00113
margin of error E = 1.96 x 0.00113 = 0.0022148
confidence interval =
0.995 - 0.0022148, 0.995 + 0.0022148
= 0.9928, 0.9972
Find the 70th term of the arithmetic sequence 29, 17, 5
Answer:
857
Step-by-step explanation:
70th term = a + d(n-1)
d= 29-17=12
a=29
n-1 = 69
70th term = 29 + 12×69
= 29 + 828
= 857
what is the value of v in 2.5v = 125
Answer: v=50
Step-by-step explanation:
2.5 v=125
v=125/2.5
v=50
Answer:
v=50
Step-by-step explanation:
[tex]\frac{2.5v}{2.5} =\frac{125}{2.5}[/tex] divide both sides by 2.5 to isolate v
v=50
x = -3.
3.2 2 - 16=(x-1)=?
Answer:
dvide it
Step-by-step explanation:
I need help on the pcture
Answer:
Where is it?
Step-by-step explanation:
Find the third quartile Q3 of the list of 24 sorted values shown below.
30 31 31 37 38 38 39 39 42 42 43 46 47 48 50 52 54 57 61 63 68 69 76 79
The third quartile Q3 is
(Type an integer or a decimal.)
Answer:
60
Step-by-step explanation:
The computation of the third quartile is given below:
The third quartile Q3 is
= 3(n + 1)÷ 4
= 3 (24 + 1) ÷ 4
= 75 ÷ 4
= 18.75th term
Now the 18.75th term is
= 18th term + 0.75 term
= 57 + (19 term - 18term)
= 57 + 0.75 (61 - 57)
= 57 + 0.75 (4)
= 60
solve this equation -3x - 8 = 18
8.67 (rounded to the nearest tenth)
Solve for x.
O 72.5
O 31.6
O 26
O 11.9
(4-3i)(1+2i)
I have so many of these
Answer:
-6i^2+5i+4
Step-by-step explanation:
Rearrange Terms
(-3i+4)(1+2i)
(-3i+4)(2i+1)
Distribute
-3(2i+1)+4(2i+1)
-6i^2-3i+4(2i+1)
-6i^2-3i+4(2i+1)
-6i^2-3i+8i+4
Combine Liker Terms
-6i^2+5i+4
Solution
-6i^2+5i+4
Answer:
-2 + 5i
Step-by-step explanation:
Remember these rules:
real times real = real (e. g., 4(1) = 4)
real times imaginary: imaginary (e. g., 4(2i) = 8i)
imaginary times real imaginary
imaginary times imaginary: real with a negative sign (e. g., (-3i)(2i) = +6
Once again: work out (-3i)(2i). We get (i^2)(-6) = +6
In summary: your (4-3i)(1+2i) becomes 4 + 8i - 3i - (i^2)(-6), or
4 + 5i - 6, or -2 + 5i
hi can anyone help me with this
Answer:
i think you should multiply 6cm by 8 cm by 10 cm ..sorry if it was not vlear but i try:)
What percent of the model is shaded green?
Answer:
1/5%
Step-by-step explanation:
The percentage of the model shaded green will be 20.
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
The total number of the box in the figure is 100.
The total number of shaded green = 20
So,
[tex]\dfrac{20}{100} \times 100[/tex]
20%
Therefore, The percentage of the model shaded green will be 20.
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I need help will mark brainlist
When solving -1/8 (x + 35) = - 7, what is the correct sequence of the operations?
1. multiply each side by -1/8, add 35 to each side
2. multiply each side by -1/8, subtract 35 from each side
3. multiply each side by -8, subtract 35 from each side
4. multiply each side by -8, add 35 to each side
Answer:
The correct option is 3.
Step-by-step explanation:
By multiplying each side by -8, you can get rid of the fraction. Then by subtracting 35 from both sides, you get what is x.
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the first time they service your lawn, and the price will multiply by a factor of 0.90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 45 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
PLZ IT'S VERY IMPORTANT
Find the perimeter
Answer:
118 cm
Step-by-step explanation:
8 + 16 + 22 + 29 + (29-16) + (8+22) = 118 cm
Heeeeeeeelp pleaaase
Answer:
13u√2u
Step-by-step explanation:
Remark
Removing factors from under the square root sign means factoring the numbers into prime factors. If there are an even number of equal prime factors, take one out and throw one away for all the primes that are the same. An odd number of factors always leaves 1 under the root sign.
For example
u^3 = u * u * u
One of the u's will be left behind. Of the two others, one will be discarded and one will be taken outside the root sign.
√u^3 = √(u * u * u) = u√u
one u taken out. 1 u left behind 1 u discarded.Question Breakdown
8√72u^3 = 8√2*2*2*3*3 u^3 = 8* 2*3 * u * √2u = 48u*√2u7√128u^3 = 7√(2*2*2*2*2*2*2 u^3) = 7*2*2*2 √2u = 56u√2u3u*√98u = 3u * √(7*7 * 2*u) = 21u√2uAnswer
48u√2u - 56√2u + 21u√2u
13u√2u
sorry if its twisted but i need help in # 3 please :)
Answer:
knsy standard ka question hy
Step-by-step explanation:
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
I'd say D
Step-by-step explanation:
What is the product of -8 and -7
Answer:56
Step-by-step explanation: -8x-7=56
Answer: -15
Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)
Pls help 10 ptsssssssssssss
NO LINKS
Algebraic Expression:
There are c cyclists in a cycle race. 3/4 of the cyclists finish the race. How many cyclists did not finish the race?
Lee la siguiente información.
En una olimpiada matemática, cada estudiante recibe un punto por cada pregunta acertada que tenga, en la siguiente tabla de frecuencias se muestra la clasificación de la cantidad de estudiantes de acuerdo con su puntaje obtenido.
De acuerdo con la tabla, ¿cuál es aproximadamente la desviación estándar?
A.
6,12
B.
7
C.
8,42
D.
9
La desviación estándar se puede calcular mediante la fórmula
S = √∑fx² / n - (∑fx / n) ²
La desviación estándar es 6,12
Poner los valores de la tabla en la hoja de Excel dada.
s = √381430 / 60 - (4770/60) ²
s = √6357.167 -6320.25
s = √36,917
s = 6,0759
Cuando se redondea daría 6,1
The standard deviation can be calculated using the formula
S= √∑fx²/n - (∑fx/n)²
The standard deviation is 6.12
Putting the values from the table in the given excel sheet.
s= √381430/60 - (4770/60)²
s= √6357.167 -6320.25
s= √36.917
s= 6.0759
When rounded would give 6.1
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help me with this please
Answer:
A
Step-by-step explanation:
Brainliest PLEASE
A random sample of 146 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood
Answer:
We reject H₀ the actual percentage of type A donations differs from 40%
Step-by-step explanation:
Sample information:
sample size n = 146
Type A x₁ = 81 and p₁ = 81 / 146 p₁ = 0,5547
then q₁ = 1 - p₁ q₁ = 1 - 0,5547 q₁ = 0,4453
We choose as significance level α = 5% α = 0,05 α /2 = 0,025
from z-table we find z (c) = 1,96
National % of the population ( μ = 40 % μ = 0,4 )
Test hypothesis
Null hypothesis H₀ p₁ = μ
Alternative Hypothesis Hₐ p₁ ≠ μ
The Alternative hypothesis indicates that the test is a two-tail test
z(s) = ( p₁ - μ )/ √ p₁*q₁ / n
z(s) = ( 0,5547 - 0,40 )/ √ 0,5547*0,4453 / 146
z(s) = 0,1547 / 0,041
z(s) = 3,77
Comparing z(s) and z(c)
z(s) > z(c)
z(s) is in the rejection region. We reject H₀. Sample does not give evidence to support that the actual percentage of type A donations is equal to the national population
I need help with this now
Answer:
80
hope this is correct
comment below
hope this helps you ☺️☺️
help me please and answer correctly people answer wrong on purpose
There are 920 calories in 5 servings. Find the unit rate.
Answer:
184
Step-by-step explanation:
920 divided by 5 is 184 which makes it unit rate
For the rectangle shown, which equation can be used to find the value of x?
Answer:
Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\[/tex]
The value of x is 6.46 inch.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Given: breadth = 3.6, diagonal= 7.4
Using Pythagoras theorem,
H²=P²+B²
(7.4)²= (3.6)²+B²
54.76=12.96 + B²
54.76-12.96=B²
41.8= B²
B= 6.46 inch.
Hence, the value of x is 6.46 inch.
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Write an equation to represent the following description. Seventeen more than eight times a number is −6.
find the vertex h(r)=r^(2)+11r-26 PLEASE HELP ME FIGURE THIS OUT
Answer: Look at the picture
Step-by-step explanation: Hope this help :D