Using the z-distribution, it is found that we reject the null hypothesis, which means that her claim is not validated.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 110, that is:
[tex]H_0: \mu = 110[/tex].
At the alternative hypotheses, it is tested if the mean is less than 110, that is:
[tex]H_1: \mu < 110[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]\overline{x} = 105, \mu = 110, \sigma = 15, n = 50[/tex]
Hence the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{105 - 110}{\frac{15}{\sqrt{50}}}[/tex]
z = -2.36.
What is the decision?Using a z-distribution calculator, z = -2.36 has a p-value that is less than the standard significance level of 0.05, hence we reject the null hypothesis, which means that her claim is not validated.
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Solve the inequality -4x +1 > 13
Answer:
The inequality is x is less than negative 3.
Answer:
x < -3
Step-by-step explanation:
. subtract 1 from both sides.
. subtract the numbers
. divide both sides by the same factor and flip the relation
because the factor is negative
. cancel the terms that are both in the numerator and the denominator
. divide the numbers
.then you get youre solution
In the figure below, lines p and q are parallel. What do you notice?
the options are alternate exterior,
alternate interior,
vertical, corresponding
and supplemantary.
What I notice about the lines p and q that are parallel is that they are both supplementary angles. Lines p and q are parallel because alternate exterior angles are congruent Lines l and m are parallel because same side interior angles are supplementary Lines l and m are parallel because alternate interior angles are supplementary
Evaluate the given expressions.
1. 6^4
2. 3^5
3. 4^3
4. 5^5
Answer:
1. 1296
2. 243
3. 64
4. 3125
please help!!!!!!!!!!
Answer:
8.4852814
Step-by-step explanation:
x^2=11^2-7^2
x^2=121-49
x^2=72
x=8.4852814
4. Child care Serena wants to open a licensed child care center. Her state requires there be no more than 12 children for each teacher. She would like her child care center to serve 40 children.
1. How many teachers will be needed? 4
2. Why must the answer be a whole number?
3. Why shouldn’t you round the answer the usual way, by choosing the whole number closest to the exact answer?
Answer:
People can not be in fractions
PARALLEL LINES
Find x and y.
Luna works at a party supply store. Today, she is filling balloons with helium for the store to sell. She accidentally overfilled the first few balloons and they popped! If t is the total number of balloons she filled, then t–3 is the number of balloons that can be sold. Luna filled 41 balloons today during her time at work.
How many of the balloons Luna filled today can be sold?
Answer:
x=36,y=108,z=72
Step-by-step explanation:
I've taken this test before
It's on the state mandated test as well so make sure to study quadratics
To walk to school, Pablo first walks 1/2 kilometer to Tanya's house.
Then Pablo and Tanya walk 3/5 kilometer to school. How far
does Pablo walk to school?
Answer:
1 1/10
Step-by-step explanation:
1/2 + 3/5
1/2 = 5/10
3/5 = 6/10
6/10 + 5/10 =
1 1/10
Identify all points and line segments in the picture below
Answer:
should be the first one
Step-by-step explanation:
any point connected
Answer:
The answer is:
line segment D
Step-by-step explanation:
Points: A, B, C, D Line segments: Bar (AB), Bar (AC), Bar (BD)
For questions 2 z 3. simplify each polynomial
2. 3x²+6-2x+5x-4x²+9
3. 2x²+6x-7x+8-3x²+1
Answer:
2. [tex]-x^{2} +3x+15[/tex]
3. [tex]-x^{2} -x+9[/tex]
Step-by-step explanation:
We add like terms together to simplify
2. 3x²-4x²= -x² -2x+5x= 3x 6+9= 15 all equal to -x²+3x+15
3. 2x²-3x²= -x² 6x-7x= -x 8+1=9 all equal to -x²-x+9
What percent of 4c in each expression?
*2a
A percentage is a way to describe a part of a whole. The percentage of 4c that is equal to 0.04c is 1%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage of 4c that is equal to 0.04c can be found as,
x% of 4c = 0.04
(x/100) × 4c = 0.04
[tex]x = \dfrac{0.04c \times 100}{4c}[/tex]
x = 1%
Hence, the percentage of 4c that is equal to 0.04c is 1%.
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Which graph represents the function f(x) = x| - 2'
Answer:
the function of y =×+1 is equal to (×,-4)
The graph that has the thinnest triangle is the correct one or C.
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
6¹⁰/6⁴
The simplified expression is
Answer:
The answer is 6^6
Step-by-step explanation:
When you divide exponents, you actually substract the exponent from the equation
Answer:
[tex]6^4[/tex]
Step-by-step explanation:
Recall the exponent quotient rule [tex]\displaystyle \frac{x^a}{x^b}=x^{a-b}[/tex]
This means that [tex]\displaystyle \frac{6^{10}}{6^4}=6^{10-6}=6^4[/tex]
can someone do this for me please?! Just the answer pls
Answer:
1 is A. 4
2 is Center: (-3, -4) and radius: 7
3 is C
Let me know if you do change your mind and want work shown !
Estimate the instantaneous rate of change in the percent of households that used the internet
for electronic banking in the year 2000.
The instantaneous rate of change in the percent of households that used the internet for electronic banking in the year 2000 is; 6.8%
How to find the instantaneous rate of change?Formula for instantaneous rate of change is;
f'(x) = (f(b) - f(a))/(b - a)
From the table showing the the percent of households that used the internet for electronic banking in the year 2000, we can find the instantaneous rate of change as;
f'(2000) = (f(2001) - f(1999)]/(2001 - 1999)
f'(2000) = (21.6 - 8)/(2001 - 1999)
f'(2000) = 13.6/2
f'(2000) = 6.8
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-9<2x+1<5
A. -5
B. -4
C. 4>x>-3
D. 5>x>-2
Answer:
B
Step-by-step explanation:
1.
- 9 < 2x + 1
- 10 < 2x
X > - 5
2.
2x + 1 < 5
2x < 4
X < 2
Calculating Binomial Probabilities - Suppose you work for an airline and you are taking reservations for a flight on an aircraft that has 152 seats. You know, based on historical flights trends, that if you sell a single ticket there is a 91% chance that the person with the ticket will actually show up for the flight. You decide to try to make a little extra money by overbooking your flight and you sell 160 tickets hoping that not more than 152 people will actually show up for the flight (note: this is a common business practice! Click here to watch a video that explains why)
Explain how this scenario meets the four requirements in the definition of a Binomial Distribution.
Identify what n and p are in this example
Use technology (StatCrunch, Statdisk, or Excel) to calculate the probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available (again, the plane has 152 seats total). Post an image of your technology output using the Insert/Edit Image feature in Blackboard (no attachments!)
Based on this probability, do you think it is a wise business practice to oversell your flight in this manner? Explain.
The probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available is 0.02
How the scenario meet the requirements?The scenario meets the following requirements
The value of n is fixed i.e. 160The outcome has two possible values i.e. seats available or notThe chance that a person shows up is the same for each outcome i.e. p = 91%Each observation is independent.Identify n and pThe given parameters are:
n = 160
p = 0.91 i.e. 91%
x = 152
How to determine the probability?The distribution is a binomial distribution, and it is calculated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n -x}[/tex]
The probability is represented as:
P(x > 152) = P(153) + ..... P(160)
Using a technology tool, we have:
P(x ≤ 152) = 0.02
Conclusion on the calculationProbability values less than 0.25 are unlikely probabilities.
Because the probability value 0.02 is less than 0.25, then we can conclude that it is a wise business practice to oversell your flight in this manner.
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NEED HELP PLEASE ANSWER ASAP!
Answer:
(2) Graph 2
Step-by-step explanation:
Question 40
| 2x + 3 | > 7It means the absolute value has to be greater than 7At x = -5 and x = 2, the absolute value is 7So, the numbers between them won't be includedThe points have an open dotx < -5 and x > 2(2) Graph 2Hey, could someone help me with this? If you could that would be great!
It's a 3 part question, this is the first part.
The quadratic function is f(x) = x^2 - 7.
I would like help on the third question...
Answer:
The correct answer should be C.
Step-by-step explanation:
A. is equal to x² -5.291503x +7
B. is equal to x² +5.291503x +7
C. is equal to x²2 -7
C. is the only one with a negative 7 since (-)(+)= -
You have been given data about gas prices in 15 states.
2018 Gas Price Data
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
Standard Deviation: $0.1098
What is the range of the data for the 2018 data?
Range = maximum value - minimum value
The range is $0.39 which is the difference of the max value and min value.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data given:
Max: $2.42
Min: $2.03
Mean: $2.098
Median: $2.06
Mode: $2.04
Variance: 0.0121
As we know, the range = Max value—Min value
Here, Max = $2.42
Min = $2.03
Range = 2.42 - 2.03 = $0.39
Thus, the range is $0.39 which is the difference of the max value and min value.
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Find the value of x in the parallelogram below. Enter each line of work as an equation.
Answer: 110
Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary, so [tex]70+x=180 \longrightarrow x=110[/tex]
IN THE FIGURE BELOW LINES P AND Q ARE PARALLEL. WHAT DO YOU NOTICE
IREADY 50 POINTS!!!
Answer:
-> Supplementary
-> Add up to 180°
Explanation:
A straight line has a measurement of 180°. Supplementary angles are angles that, when added together, equal 180°.
Since angles 5 and 6 make up a straight line, we know they will add up to 180°.
what is 18/6 redused?
Answer: 3
Step-by-step explanation:
3/1 or 3
hope it helps...!!!
9. Find the midpoint of the segment having endpoints (2.9,−4.4) and (4.4,−2.9).
Answer:
midpoint: (3.65, -3.65)
Explanation:
[tex]\sf (x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})[/tex]
where (x1, y1), (x2, y2) are points
[tex]\rightarrow \sf (\dfrac{2.9+4.4}{2}, \dfrac{-4.4-2.9}{2})[/tex]
[tex]\rightarrow \sf (\dfrac{7.3}{2}, \dfrac{-7.3}{2})[/tex]
[tex]\rightarrow \sf (3.65, \ - 3.65)[/tex]
I need help with this question
Answer:A
Step-by-step explanation: because there is an association with the child’s hight and age so the answer is A ( plus I have did this before and got it wrong and the actual Answer was A when I picked B
Answer: A
Step-by-step explanation:
his table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5 feet of the original house. Use proportional reasoning to complete the table with the original lengths. A 2-column table with 4 rows. Column 1 is labeled Scale model (inches) with entries 2, 8, 12, 16. Column 2 is labeled Original length (feet) with entries 1.5, a, b, 12. a = b =
The value of the a and b will be 6 and 9 feet. Every 2 inches on the scale drawing represents 1.5 feet of the original house.
What is unit conversion?The process of converting the unit form is known as the unit conversion. For example, in the SI unit system, mass is in kg. While in CGS, it is represented in grams.
The given conversion is ;
[tex]\rm 2 \ inch = 1.5 \ feet \\\\ 1 inch = \frac{1.5}{2} \ feet[/tex]
For 8, 12 inches, the values in feet is;
[tex]\rm 8 \times \frac{1.5}{2} = 6 \ feet[/tex]
[tex]\rm 12 \times \frac{1.5}{2} = 9 \ feet[/tex]
Hence, the value of the a and b will be 6 and 9 feet.
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The value a= 6 and b=9.
What is unit conversion?
The process of converting the unit form is known as the unit conversion.
For example, in the SI unit system, distance is in meter while in CGS, it is represented in cm.
Given that:
2 inch = 1.5 feet
1 inch = [tex]\frac{1.5}{2}[/tex]
then, 8 inches =[tex]\frac{1.5}{2} *8[/tex]
= 1.5*4
= 6 feet
again, 12 inches= [tex]\frac{1.5}{2} *12[/tex]
= 1.5*6
= 9 feet
and, 16 inches =[tex]\frac{1.5}{2} *16[/tex]
= 1.5*8
= 12 feet
The value of a & b is 6 and 9 respectively.
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The first two numbers in a sequence h are h(1)=2 and h(2)=6
If h is an arithmetic sequence, write a definition for the nth term of h explain or show your reasoning.
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The nth term of the arithmetic series can be defined as hₙ = 4n - 2.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
The nth term of an arithmetic sequence is given by the formula,
aₙ = a₁ + (n-1)d
Since the first term of the arithmetic sequence is 2, while the difference is 4. Therefore, the definition for the nth term of arithmetic sequence,h can be written as,
hₙ = 2 + (n-1)4
hₙ = 2 + 4n -4
hₙ = 4n - 2
Hence, the nth term of the arithmetic series can be defined as hₙ = 4n - 2.
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What is the area of a regular nonagon if its apothem
has a length of 6 feet and each side has a length of
7.2 feet?
Answer:
194.4
Step-by-step explanation:
Formula for finding the area of any polygon :
number of sides (n) x 0.5 x length of sides (s) x apothem (a)
Area = 9 x 0.5 x 7.2 x 6 = 194.4
hope this helps :)
Select the correct answer.
Which outcome is an advantage of the SMBO approach?
OA. It takes into consideration the point of view of management.
OB. The customer is the focus of this approach.
OC. It provides motivation to salespeople.
OD. It narrows sales to specific items.
SOE.
It allows for the adoption of multiple and changing sales objectives.
An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.
What is SMBO?SMBO is for Sales Management by Objective and is a selling technique or approach that focuses on achieving a specific set of goals. The entire quantity of products sold is known as the sales volume. It can also be expressed in monitory terms.
An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.
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Can Someone please help me with my math
Answer: option 2 which is 1.825*10^-7
Step-by-step explanation: