Answer:
....
Step-by-step explanation:
mean: 16
median: 16
there is no mode
range: 8
Decide if each statement about the expression 7t + 15-23 is true or false?
Answer:
7t -8 true
Step-by-step explanation:
true or false
There are four quartiles altogether,
The length of a rectangular floor is 4 feet longer than its width w. The area of the floor is 525 ft^2. A) Write a quadratic equation in terms of w that represents the situation. B) What are the dimensions of the floor? Show your work.
Answer:
w² + 4w - 525 = 0
Width of rectangle = 21 feet
Length of rectangle = 25 feet
Step-by-step explanation:
Given:
Area of rectangular floor = 525 ft²
Find:
Equation
Dimensions of the floor
Computation:
Assume;
Width of rectangle = w feet
So,
Length of rectangle = w + 4 feet
Area of rectangular floor = length x width
Area of rectangular floor = w(w + 4)
525 = w² + 4w
w² + 4w - 525 = 0
w² + (25 - 21)w - 525 = 0
w² + 25w - 21w - 525 = 0
w(w + 25) -21(w + 25)
(w + 25)(w - 21)
So,
w = -25 , w = 21
So,
Width of rectangle = 21 feet
Length of rectangle = w + 4 feet
Length of rectangle = 21 + 4 feet
Length of rectangle = 25 feet
Need answer please !!
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Answer:
UV=7,-3
Step-by-step explanation:
An online furniture store sells chairs for $150 each and tables for $450 each. Every day, the store can ship a maximum of 16 pieces of furniture and must sell at least $3900 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Required inequalities:
x + y ≤ 16150x + 450y ≥ 3900The graph is attached.
The darker triangle is the solution region.
The solution examples:
(1, 15), (4,12), (5, 10), (11, 5)The first number is chairs, the second number is tablesMarking as brainiest
Each student in a class recorded how many books they read during the
summer. Here is a box plot that summarizes their data. What is the Range
of the data?
. 8
10 1 18
number of books
Your answer
This is a required question
What is the area of a rectangle whose length is 4 2/3 cm and width is 8 cm?
Answer: 37 1/3 cm
Step-by-step explanation:
Area = Length times width
4 2/3 times 8 = 37 1/3
All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of
25. By what factor were the dimensions of the pentagon multiplied?
a) 12.5
b) 625
c) 5
d) 50
Since the area of the figure changed by a factor of 25, a factor by which the dimensions of the pentagon were multiplied include the following: C. 5.
What is a scale factor?In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:
(Scale factor of dimensions)² = Scale factor of area
(Scale factor of dimensions)² = 25
Scale factor of dimensions = √25 = 5
Read more on scale factor here: brainly.com/question/29967135
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Answer:
c.5
Step-by-step explanation:
Mandy runs 4 km in 18 minutes. She plans to run in a 16 km race. Based on her current speed. how long will it take her to complete the race
Answer:
72 minutes
Step-by-step explanation:
You need to set up 2 fractions and set them equal to one another to be able to solve this.
Equation: 4km/18min = 16km/x min
You need to find x. In order to do this you can use that butterfly method/cross multiplication. You do 4 times set equal to 18*16.
Next, you get 18*16=288 and you must divide the other side (4x) to get your final answer. So, 288/4= 72 minutes.
Hope this was helpful!
Consider the probability that fewer than 46 out of 134 students will not pass their college placement exams. Assume the probability that a given student will not pass their college placement exam is 98%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
a. Yes
b. No
Answer:
b. No
Step-by-step explanation:
Binomial approximation to the normal:
Binomial distribution has n trials, with p probability.
If
[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], it can be approximated to the normal distribution.
Assume the probability that a given student will not pass their college placement exam is 98%.
This means that [tex]p = 0.98[/tex]
134 students:
This means that [tex]n = 134[/tex]
Necessary conditions:
[tex]np = 134*0.98 = 131.32 \geq 10[/tex]
[tex]n(1-p) = 134*0.02 = 2.68 < 10[/tex]
Since the necessary condition n(1-p) < 10 is not satisfied, the answer is No, given by option b.
The functions f(x) = x^2 – 3 and g(x) = –x^2 + 2 are shown on the graph.
The graph shows f of x equals x squared minus 3, which is an upward-opening parabola with a vertex at 0 commas negative 3 and a point at negative 1 comma negative 2, and a point at 1 comma negative 2. The graph also shows g of x, which is a downward opening parabola with a vertex at 0 commas 2 and a point at negative 1 comma 1, and a point at 1 comma 1.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y ≤ x^2 – 3
y > –x^2 + 2
The solution set to the given system of inequalities is represented by the shaded region under the curve of f(x) = x^2 – 3 (including the points on the curve) and above the curve of g(x) = –x^2 + 2 (excluding the points on the curve). The overlapping region between these shaded areas represents the solution set to the system.
To graph the solution set to the system of inequalities y ≤ x^2 – 3 and y > –x^2 + 2, we can modify the graphs of f(x) = x^2 – 3 and g(x) = –x^2 + 2 accordingly. Here's how:
For the inequality y ≤ x^2 – 3:
The original graph of f(x) = x^2 – 3 is an upward-opening parabola with a vertex at (0, -3).
To graph y ≤ x^2 – 3, we need to shade the region below or on the parabola. This includes all points on the parabola itself.
Therefore, we shade the area under the curve of the original graph of f(x) and include the points on the curve.
For the inequality y > –x^2 + 2:
The original graph of g(x) = –x^2 + 2 is a downward-opening parabola with a vertex at (0, 2).
To graph y > –x^2 + 2, we need to shade the region above the parabola. This excludes all points on the parabola itself.
Therefore, we shade the area above the curve of the original graph of g(x) but exclude the points on the curve.
By modifying the graphs of f(x) and g(x) according to these shading instructions, we can graphically represent the solution set to the system of inequalities.
The solution set can be identified by observing the overlapping region or the intersection between the shaded area under the curve of f(x) and the shaded area above the curve of g(x). The points within this overlapping region satisfy both inequalities simultaneously.
For more such question on curve. visit :
https://brainly.com/question/30452445
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Direct mail advisors send notifications to thousands of potential customers in the hope that summer by the company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and send it to 1060 people randomly selected from their mailing list of over 200,000 people. They get orders from 110 of those people.
A) Create a confidence interval for the percentage of people to company contracts
who may buy something
Create a 90% confidence interval for the percentage of people the company contacts who may buy something.
Answer:
CI = (8.84%, 11.92%)
We are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.
Step-by-step explanation:
We are given;
n = 1060
x = 110
Confidence level = 90%
Sample proportion; p^ = x/n = 110/1060
p^ = 0.1038
DF = n - 1 = 1060 - 1 = 1059
From the table attached, the critical value for a confidence level of 90% at a DF greater than 1000 is 1.645
Formula for CI is;
CI = p^ ± t√(p^(1 - p^)/n)
CI = 0.1038 ± 1.645√(0.1038(1 - 0.1038)/1060)
CI = 0.1038 ± 0.0154
CI = (0.0884, 0.1192) or
CI = (8.84%, 11.92%)
Thus, we are 90% Confident that the percentage of people the company contacts who may buy something is between 8.84% and 11.92%.
40 POINTS !! 40 POINTS !!
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Answer:
Step-by-step explanation:
4 6/7
please help me asap!!
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
x^2 + 5^2 = 13^2
x^2 + 25 = 169
x^2 = 144
---> x = 12
Question 9 of 10 What is one strategy that can help a person avoid spending too much money on interest when borrowing money? O A. Choosing a credit card with a low minimum monthly payment O B. Choosing a loan with a simple rather than compound interest rate O C. Choosing a credit card with a high minimum monthly payment O D. Choosing a loan with a compound rather than simple interest rate
Answer:
Hello There!!
Step-by-step explanation:
The answer is B. Choosing a loan with a simple rather than compound interest rate.
hope this helps,have a great day!!
~Pinky~
Which is a greater fraction 2/5 or 1
1 is greater that 2/5
1>2/5
Answer:
1 is a whole number (an integer) and 2/5 is a proper fraction
what 1 + 2 i have know idea of what it is
Answer:
3
Step-by-step explanation:
Answer:
1+ 2 = 3
Step-by-step explanation:
Factor out the common terms: 24a + 12b - 40c
I'll give brainliest
Answer:
4(6a+3b-10c)
Step-by-step explanation:
Answer and Step-by-step explanation:
All of the terms have a common factor of 4.
4(6a + 3b - 10c)
#teamtrees #PAW (Plant And Water)
Find the percent of change. Round to the nearest tenth of a percent if necessary.
1/4 to 1/2
9514 1404 393
Answer:
100%
Step-by-step explanation:
The percentage change can be computed from ...
pct change = ((new value)/(old value) -1) × 100%
= ((1/2)/(1/4) -1) × 100%
= (2 -1) × 100%
= 100%
The increase by 1/4 from 1/4 to 1/2 is an increase of 100%.
What is the value of x?
These are the options!
1- x= 15
2- x= 12
3- x= 24
4- x= 17
Answer:
since they are alternate angles(equal)
4x-10=58
4x=68
x=17
Answer:
option 4
Step-by-step explanation:
(4x - 10) and 58 are alternate angles and are congruent, then
4x - 10 = 58 ( add 10 to both sides )
4x = 68 ( divide both sides by 4 )
x = 17
please help.
grocery store workers restock cans of soup and bags of rice at constant rates. which item was restocked at a faster rate and what is the rate? let x represent the number of minutes and y represent the total number of bags or cans
Answer:
Cans of soup are restocked at a faster rate
Step-by-step explanation:
With an equation y=mx+b, m = slope
m of rice = 12
The slope of the graph for the cans of soup is 30/2 = 15
m of soup = 15
15 is greater than 12
find he prodct
4(-2)
Answer:
-8
Step-by-step explanation:
four times two equals eight, positive times negative equals negative, so -8
Answer:
-8
Step-by-step explanation:
4(-2)=4×(-2)=-8 I Know The Answer Is Correct I Am Sure.
What is the mode of the set of data points given below? 1 15 12 6 12 9 12 3 6 12 15 9 15 12 15
Answer:
the mode is 12
Step-by-step explanation:
Arrange the numbers in order : 1 , 3, 6, 6, 9, 9, 12, 12, 12, 12, 12, 15, 15, 15, 15
Then count how many numbers that appears the most, so the number that appears the most is 12, therefore, the mode in the data set is 12 .
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ REPORT LINKS OR PEOPLE ANSWERING FOR POINTS
Answer:
B
Step-by-step explanation:
Trust
Which of the following cannot be the side lengths of a triangle?
10, 12, 18
9, 9, 10
3, 11, 15
10, 15, 20
Answer:
3, 11, 15
Step-by-step explanation:
The two shorter sides add up to 14, which is smaller than 15, therefore making the triangle impossible as the sum of the two smaller sides have to be larger than the longest side
A racing car driver is investigating whether the type of fuel he uses in his car affects his overall speed. He uses three different types of fuel. The driver runs an experiment where he fills his car with each type of fuel 20 times, and each time records the time taken to drive one lap of a track. A one-way ANOVA test is conducted to test the null hypothesis that type of fuel is not a significant factor in determining speed. The result of the test is that the null hypothesis is not rejected.
The conclusion that follows from this test is that: __________
a. it has been proven that the type of fuel is a significant factor in determining speed
b. it cannot be ruled out that the type of fuel is an insignificant factor in determining speed
c. it has been proven that the type of fuel is an insignificant factor in determining speed
d. it has been proven that the type of fuel can sometimes be a significant factor in determining speed
Answer:
b. it cannot be ruled out that the type of fuel is an insignificant factor in determining speed.
Step-by-step explanation:
From the question :
Let the speed of each fuel be represented as ;
u1, u2, u3
The null hypothesis, H0 ;
H0 : u1 = u2 = u3
H0 is of the notion that fuel type is not a significant factor in determining speed
The alternative hypothesis, H1;
H1 : u1 ≠ u2 ≠ u3
The alternative is the opposite of the null, fuel type is a significant factor in determining speed
If after conducting the statistical test, the null hypothesis cannot be rejected ;
Then the conclusion will be ;
There is no significant evidence to conclude that the fuel type is a significant factor in determining speed ;
Hence, fuel fuel type remains an insignificant factor in determining speed.
You want to install a 3 yd wide walk around a circular swimming pool. The diameter of the pool is 16 yd. What is
the area of the walk? Use 3.14 for it.
The area of the walk is approximately
Can you answer (a,b)?
Answer:
a) 11.283 dollars
b) 1.435 hour
Step-by-step explanation:
1 kilo watt of electricity used for 1 hour
Charges of electricity per unit = $0.05224
Laura uses 5 heaters to warm her house. The electricity consumed by each use 1800 wats or 1.8 kilo wats
a) Charges in one day = 5 heaters * 1.8 kilo wats per hour * 24 hour* $0.05224 per kilowats per hour
= 11.283 dollars
b) 75 wat light bulb consumes 0.075 kilo wats per hour
Charge per kilowat per hour = $0.05224
In order to cost 1 $, the 75 wat bulb need to be on for 1.435 hour
An unbiased estimator is one for which: Group of answer choices its value always equals the value of the parameter it estimates. its standard deviation always decreases as the sample size increases. its sampling distribution is Normal. its average value is equal to the parameter it estimates.
Answer:
its sampling distribution is centered exactly at the parameter it estimates.
Step-by-step explanation:
An unbiased estimator is an estimator that shows the correct statistic applied for the parameter of the population
Here correct represents that it should not be overestimated or underestimated. In the case when there is an underestimate or overestimate this means that there is a bias
So as per the given options the above option is correct