Answer:
Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that the mean weight is less and equal to 9.75 ounces per box and accept the null hypothesis.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: u ≤ 9.75 against the claim Ha: u > 9.75
Here
Population mean= u= 9.75
Standard deviation= 0.27 ounces
Sample mean= x`= 9.85
Significance level [tex]\alpha[/tex]= 0.05
Using z- test
z= x`-u/s/√n
z= 9.85-9.75/0.27/√25
z= 0.1/5.4
z= 0.0185
The critical region for 1 tailed test at 0.05= z > ±1.645
Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that the mean weight is less and equal to 9.75 ounces per box and accept the null hypothesis.
Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?
Answer:
the ratio of food costs to take home dollars is 1:6
Step-by-step explanation:
The computation of the ratio of the foods cost to take home is shown below:
Given that
Monthly take home pay is $1,500
And, the spending month on food is $250
Based on the above information
The ratio is
= $250 ÷ $1500
= 1:6
Hence, the ratio of food costs to take home dollars is 1:6
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours. At this rate of decay,
how many bacteria was there at 10 hours? Round to the nearest whole number,
Answer:
9,942 bacteria were there at 10 hours.
Step-by-step explanation:
Equation for population decay:
The equation for population decay, after t hours, is given by:
[tex]P(t) = P(0)(1-r)^t[/tex]
In which P(0) is the initial population and r is the decay rate, as a decimal.
Researchers recorded that a certain bacteria population declined from 200,000 to 900 in 18 hours.
This means that [tex]P(0) = 200000[/tex] and that when [tex]t = 18, P(t) = 900[/tex]. So we use this to find r.
[tex]P(t) = P(0)(1-r)^t[/tex]
[tex]900 = 200000(1-r)^{18}[/tex]
[tex](1-r)^{18} = \frac{900}{200000}[/tex]
[tex]\sqrt[18]{(1-r)^{18}} = \sqrt[18]{\frac{900}{200000}}[/tex]
[tex]1 - r = (\frac{900}{200000})^{\frac{1}{18}}[/tex]
[tex]1 - r = 0.7407[/tex]
So
[tex]P(t) = P(0)(1-r)^t[/tex]
[tex]P(t) = 200000(0.7407)^t[/tex]
At this rate of decay, how many bacteria was there at 10 hours?
This is P(10). So
[tex]P(10) = 200000(0.7407)^{10} = 9941.5[/tex]
Rounding to the nearest whole number:
9,942 bacteria were there at 10 hours.
Help me and I’ll give you brainliest
Answer:
i think its 60
Step-by-step explanation:
How are these two images the same but different?
\large x+4=9
\large x+4
Post at least 1 similarity and 1 difference.
Answer:
they both mean the same thing one dose not have = and 9 in it while the other dose.
Step-by-step explanation:
Find the value of x in the figure below if RE is parallel to PM.
2.3 units
16 units
21 units
4.6 units
Answer:
21 units
Step-by-step explanation:
Since,
RE is parallel to PM,
( AR / RP ) = ( AE / EM )
( 7 / x ) = ( 6 / 18 )
( 7 / x ) = ( 1 / 3 )
x × 1 = 7 × 3
x = 21 units
What’s the correct answer for this question?
Answer:
10
Step-by-step explanation:
2(6+1) - |-10| + 3*2
= 2 (7) - (+10) + 6
= 14 - 10 + 6
= 20 - 10
= 10
Answer: 10
Step-by-step explanation:
Given
2 ( 6 + 1 ) - | -10 | + 3 × 2
Expand parenthesis
= 12 + 2 - | -10| + 3 × 2
Simplify absolute value
= 12 + 2 - 10 + 3 × 2
Do multiplication
= 12 + 2 - 10 + 6
Simplify
= 14 - 4
= 10
Hope this helps!! :)
Please me know if you have any questions
In the coordinate plane, Seth drew a triangle with vertices A(-2,7), B(3, -3), and C(0,2). He reflected the triangle about a vertical line, and then about a horizontal line, to move vertex A to its final location of (10,-5).
Use the drop-down menus to choose the responses that make each statement true
Seth reflected the triangle about the vertical ine 1 = and then about the horizontal line y = 0
He moved vertex B to its final location of
He moved vertex C to its final location of
2021 minute Education Inc
Answer:
we cant see the problem
Step-by-step explanation:
What is the ratio of -1,6,-36,216
Answer:
-6
Step-by-step explanation:
hope this helped <3
Omar wants to use a graph to solve the equation below.
log Subscript 6 Baseline x = log Subscript 2 Baseline (x + 4)
Which system of equations should Omar use?
Person above is wrong, the answer is D on Edge.
D. y1 = log x/log 6, y2 = log (x + 4)/log 2
Answer:
its D on edge 2021
Step-by-step explanation:
i took the test
7. What is the volume of the rectangular prism?
4.8 mm
6.4 mm
14.2 mm
Subtract -5x²+10x-1from6x²-x+3
Answer:
it would be -11x^2+11x-4
HELPPPPPPPPPPPP BRAINLY
Answer:
C
Step-by-step explanation:
Help please!!! I can’t figure it out
9514 1404 393
Answer:
C. ... 3 1/4 cups
Step-by-step explanation:
The problem statement tells you that the other measures are combined. That means you're looking for an expression like ...
3/8 × ((3 2/3) +(2 1/4) +(2 3/4))
This eliminates choices B and D.
If you look at the numbers in parentheses, you see that the 1/4 and 3/4 will have a sum of 1, so the only fraction in the sum will be 2/3. This eliminates choice A.
The only viable answer choice is C.
__
If you like, you can check to see that answer C is correct.
(3/8)(8 2/3) = (3/8)(26/3) = 26/8 = 3 2/8 = 3 1/4
Examine the following diagram
BI
75 32
3
26592
3
D
75 32"
2859
E
© 2019 StrongMind Created using GeoGebra
If AABC 4AADE, what is the length of AE?
07
04
6
03
9514 1404 393
Answer:
(a) 7
Step-by-step explanation:
The congruence statement tells you that AC ≅ AE. AC is marked as 7, so ...
AE = 7
_____
Additional comment
If you solve the triangle using the Law of Sines, you find that AC = AE = 6.484, not 7.
Using order of operations how would you solve (3+4)-9 with an equation!!
please help me im stuck on this question
Answer:
78.0 kilo
Step-by-step explanation:
85.8- 93.6= 7.8
101.4-93.6= 7.8
85.8-7.8 = 78.0 kilo
Chloe asked students in her school band these two questions.
Question 1: How many days per week do you practice your instrument?
Question 2: How many times will our band perform this year?
Use the drop-down menus to explain whether each question is a statistical question.
Question 1
Choose
a statistical question because each student's answer will be
Choose...
Question 2 Choose.
a statistical question because each student's answer will be
Choose the options to the question is is and is not
Answer:
Question 1: Statistical
Question 2: Not Statistical
Step-by-step explanation:
Given
Question 1 and 2
Required
Are they statistical questions?
A question is said to be statistical if it can be answered through data collection and if there are variances in the collected data.
Using this yardstick, we can say that (1) is a statistical question because the frequency at which the band perform in a week can be determined by gathering data of their past practice.
This can not be said of (2) because (2) has not been done yet, there is no available data to make predictions and lastly, the variance of an unavailable data can not be determined.
at first an athlete jogs at 4 miles per hr and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours. how long does the athlete jogs at each speed? the athlete jogged ? hours at a speed of 4 miles per hr and ? hour(s) at a speed of 6 miles per hour?
Answer:
The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
Step-by-step explanation:
Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:
4 x 1.5 + 6 x 0 = 6
4 x 1 + 6 x 0.5 = 7
4 x 0.75 + 6 x 0.75 = 7.5
4 x 0.5 + 6 x 1 = 8
Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
whats 1girl + 1 girl=
Answer:
(whats 1girl + 1 girl=) uhh ima go with 2girl ;)
Step-by-step explanation:
whats 1girl + 1 girl=?
well 1+1=2 so 1girl + 1 girl= 2girl
Look at the photo! Please help
Can anyone please help??
Answers:
6 pints = 12 cups
16 pints = 8 quarts
8 fluid ounces = 1 cup
8 pints = 1 gallon
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Definition: the angles opposite each other when 2 lines cross. They are always equal.
1&4, 2&3, 5&8, 6&7 are vertical
I hope this helps :) have a good night or day <3
Pls help I will give Brainliest
Answer:
C. 26 + 4x = 46
Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee at local fast food restaurants. Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg. If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result
Answer:
We would have to take a sample of 62 to achieve this result.
Step-by-step explanation:
Confidence level of 95%.
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 - 0.95}{2} = 0.025[/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 - 0.025 = 0.975[/tex], so Z = 1.96.
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.
Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.
This means that [tex]\sigma = 2[/tex]
If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?
We would need a sample of n.
n is found when [tex]M = 0.5[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.5 = 1.96\frac{2}{\sqrt{n}}[/tex]
[tex]0.5\sqrt{n} = 2*1.96[/tex]
Dividing both sides by 0.5
[tex]\sqrt{n} = 4*1.96[/tex]
[tex](\sqrt{n})^2 = (4*1.96)^2[/tex]
[tex]n = 61.5[/tex]
Rounding up
We would have to take a sample of 62 to achieve this result.
What is the measure of angle ABC
Answer:
A
Step-by-step explanation:
Which Proportion Could Be Used To Solve ...
Answer:
[tex]\frac{6}{h} = \frac{10}{40}[/tex]
Step-by-step explanation:
Given
The attached image
Required
The proportion of the height of the tree
Represent the height of the tree with h.
To solve for h, we make use of the following equivalent ratio
[tex]40 : h = 10 : 6[/tex]
Express as fraction
[tex]\frac{40 }{ h }= \frac{10 }{ 6}[/tex]
Cross multiply
[tex]40 * 6 = 10 * h[/tex]
Divide by 40h
[tex]\frac{40 * 6}{40h} = \frac{10 * h}{40h}[/tex]
[tex]\frac{6}{h} = \frac{10}{40}[/tex]
Tiana deposited $500 into an account that earns 6% simple interest. How many years will it take for the value of the account to reach $2000
Answer:
Number of year = 50 year
Step-by-step explanation:
Given:
Amount deposit in account = $500
Rate of interest = 6 % = 0.06 (Simple interest)
Future amount = $2,000
Find:
Number of year
Computation:
A = P + I
2,000 = 500 + I
Amount of interest I = $1,500
I = PRT
1,500 = 500 x 0.06 x Number of year
1,500 = 30 x Number of year
Number of year = 1,500/30
Number of year = 50 year
A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a sample mean of 15.3 oz. Given the standard deviation is 1.7 oz, obtain a 99% confidence interval for the true mean weight of the boxes. Interpret your results in the context of the problem. State the margin of error.
Answer:
The margin of error is of 0.73 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
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{1.7}{\sqrt{36}} = 0.73[/tex]
The margin of error is of 0.73 oz.
The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.
The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21
find the area of the triangle
!NO LINKS, NO FILES!
please :)
Answer:
1125cm²
Step-by-step explanation:
The answer is in the link -----> www://jk.com lol
30 x 75 ÷ 2 = 1125cm²