Answer: Yes, there is a relationship. As time increases, texting speed decreases.
Step-by-step explanation:
that is for the people looking for the correct answer.
The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
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Employees at a large company can earn monthly bonuses. The distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3. Let z represent the standard normal distribution. If x represents the mean number of monthly bonuses earned last year for a random sample of 40 employees, which of the following calculations will give the approximate probability that x is less than 2 ?
a. P [ z < (2-2.3 / (1.3/√40)) ]
b. P (z < 2)
c. P [z < (2.3-2 / 1.3) ]
d. P [z < (2-2.3 / 1.3) ]
e. P [z < (2.3 -2 / (1.3/√40)) ]
The correct calculation to find the probability that x is less than 2 is:
d. P [z < (2 - 2.3 / (1.3/√40))]
We know that the distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3.
Since we have a sample of size 40, we can use the central limit theorem to approximate the distribution of the sample mean x with a normal distribution with mean 2.3 and standard deviation 1.3/√40.
To find the probability that x is less than 2, we need to find the z-score corresponding to x = 2, given the distribution of x. We can do this using the formula:
z = (x - μ) / σ
where μ is the mean of the distribution of x (which is 2.3) and σ is the standard deviation of the distribution of x (which is 1.3/√40).
Plugging in the values, we get:
z = (2 - 2.3) / (1.3/√40)
z = -1.63
So, the probability that x is less than 2 is equal to the probability that z is less than -1.63, which is given by the standard normal distribution table as:
P [z < -1.63]
Therefore, the correct calculation to find the probability that x is less than 2 is:
d. P [z < (2 - 2.3 / (1.3/√40))]
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Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. Write an equation to find the number, x. What is the number?
Answer: -8
Step-by-step explanation:
If we add 5 to -8, that will be -3. Then if we multiply -3 with -2, it equals 6 because when two negatives multiply with one another the answer will be positive.
So in conclusion, the number is -8.
Hope this helps!
The width, y, of a rectangle with a fixed area varies inversely with its length, x. The width is 3 inches when the length is 14 inches. Find the width when the length is 30 inches.
Answer:
\(y = 1.4\)
Step-by-step explanation:
Given
\(y = width\)
\(x = length\)
\(y = 3;\ when\ x = 14\)
Required
Find y when x = 30
Being an inverse variation, we have:
\(y\ \alpha\ \frac{1}{x}\)
Convert the variation to an equation
\(y = \frac{k}{x}\)
First, we solve for k
Make k the subject to solve for k
\(k = xy\)
\(y = 3;\ when\ x = 14\)
So, the value of k is:
\(k = 14 * 3\)
\(k = 42\)
To solve for y when x = 30
Substitute 30 for x and 42 for k in \(k = xy\)
\(42 = 30 * y\)
Make y the subject
\(y = \frac{42}{30}\)
\(y = 1.4\)
The width of the rectangle would be as follows:
\(1.4\) inches
Inverse ProportionInverse proportion occurs when one value increases and the other decreases.
The width, \(y\), of a rectangle with a fixed area varies inversely with its length, \(x\).
So, \(y=\frac{k}{x}\) where \(k\) is the constant.
The width is \(3\) inches when the length is \(14\) inches.
So,
\(3=\frac{k}{14} \\k=42y=\frac{42}{x}\\Put x=30\)
Therefore, \(y=\frac{42}{30}=1.4\) inches
Thus, Width is \(\boldsymbol{1.4}\) inches when the length is \(30\) inches.
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can i get the answer quick
Answer:
p^3 - 7p^2q^2 + 2pq
Step-by-step explanation:
3pq +5p^2q^2 + p^3 = p^3 + 5p^2q^2 + 3pq
Let the number be x.
x + p^3 + 5p^2q^2 + 3pq + p^3 - pq
= 3p^3 - 2p^2q^2 + 4pq
x + p^3 + p^3 + 5p^2q^2 + 3pq - pq
= 3p^3 - 2p^2q^2 + 4pq
x + 2p^3 + 5p^2a^2 + 2pq
= 3p^3 - 2p^2q^2 + 4pq
x
= 3p^3 - 2p^2q^2 + 4pq - (2p^3 + 5p^2q^2 + 2pq)
= 3p^3 - 2p^2q^2 + 4pq - 2p^3 - 5p^2q^2 - 2pq
= 3p^3 - 2p^3 - 2p^2q^2 - 5p^2q^2 + 4pq - 2pq
= p^3 - 7p^2q^2 + 2pq
Therefore,
p^3 - 7p^2q^2 + 2pq should be added.
Kilo worked his 40 regular hours last week, plus 8 hours at the time-and-a-half rate. His gross pay was $585. What was his hourly rate?
Answer:
$11.25
Step-by-step explanation:
Let x = pay of regular hour
y = time-and-half rate hour pay
40x + 8y = 585
y = 1.5x
40x + 8(1.5x) = 585
40x + 12x = 585
52x = 585
52x/52 = 585/52
x = 11.25
The width of this rectangle is 1/3 of the length. Find the length and the width of the rectangle.
(2y + 6) in. =length
(y - 4) in= width
Answer:
yeah its 6-9 390193 *99ms
Step-by-step explanation:
Pls help me i dont really understand
Answer:
y - 5
12x + 18y
Step-by-step explanation:
6) five less than y
y - 5
7) six times the quantity of two x plus 3 y
2x + 3y
six times the above exp
6(2x + 3y)
= 12x + 18y
PLEASE HELP (image attached)
Answer:
1: 3 choice 2: choice 1
Step-by-step explanation:
6x+9+5x-20 = 11x -11
x-8 - 3x - 3 = -2x-11
Mal says x is a number that makes Equation A true and also a numbe that makes Equation B true.
The equations could be made the same by dividing both sides of Equation A by-3 gives x + 7 = -8.
What is an equation?The term equation has to do with a mathematical relationship that involves the equality sign. Let us now look at the equations that have been put forth and see how they can be made to be equivalent;
• Equation A: -3 (x + 7) = 24
• Equation B: x + 7 = -8
If we want to convert equation A into B, what we need to do is simply to divide the both sides of equation A with -3.
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Missing parts;
Mai says x is a number that makes Equation A true and also a number that makes Equation B true.
• Equation A: -3 (x + 7) = 24
• Equation B: x + 7 = -8
Which statement explains why this is true?
O A) Adding 3 to both sides of Equation A gives x + 7 = -8.
O B) Applying the distributive property to Equation A gives x + 7 = -8.
© C) Subtracting 3 from both sides of Equation A gives x + 7 = -8.
OD) Dividing both sides of Equation A by-3 gives x + 7 = -8.
The area of the Pacific Ocean is about 6.0061×107 square miles. The area of the Southern Ocean is about 7.8483×106 square miles. Approximately how many times larger is the area of the Pacific Ocean than that of the Southern Ocean?
it either 8, 9, 13, or 20
Answer:
The answer is a. 8
Step-by-step explanation:
I just s and it
• Between 10 a.m. and 12 noon, the temperature increased by the same amount as
bei
• Between 12 noon and 2 p.m., the temperature decreased by 5 degrees.
Time
Temperature (°C)
6 am
-3
8 am
-2
10 am
1
12 noon
2. pm
Answer:
give me brainlyest plz
Step-by-step explanation:
What is the distance between the following points?
Answer:
9.8
Step-by-step explanation:
\(\sqrt{(6-2)^2+(-5-4)^2} =9.8\)
PLZ HELP ME ITS ALMOST DUE
If you deposit $4500 into an account that pays 5% annual interest compounded quarterly, how money wil you have after 10 years?
Answer:
Step-by-step explanation:
hope this help
Write an equation in slope-intercept form, of the line with a slope of 4 and a y-intercept of (0,5)
Answer: y=4x+5
Step-by-step explanation:
selecting christmas presents if a person can select 5 presents from 9 presents under a christmas tree, how many different combinations are there?
There are 120 different combinations when selecting Christmas presents.
There are 10 available presents in all under a Christmas tree, and
The number of presents chosen to be placed beneath a Christmas tree is 3.
We must determine how many possible combinations there are.
There are a total of three methods by which the 10 gifts can be chosen \(10C_{3}\).
that is
\(nC_{r}=\frac{n!}{r!(n-r)!}\)
\(10C_{r} =\frac{10!}{3!(10-3)!}\)
=120
In order to choose three gifts from a total of ten, there are 120 possible different combinations.
The term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.
5rdx
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If a car is moving with an average velocity of 25 m/s how long will it take the car to travel 1500m
Answer:
60m/s is correct so I hope that helps
At Ashland Middle School, 70% of sixth graders wore athletic shoes to school on the first day of school. The number of sixth graders wearing athletic shoes that day was 35. Shade the grid to show the percent of sixth graders who wore athletic shoes
Answer:
Can I see the grid?
Step-by-step explanation:
Is the following statement true or false?
The intersection of two lines can be a ray.
Answer:
True the intersection of two lines can be a ray.
I NEED HELP REALLY FAST AND EXPLAIN HOW YOU SOLVED IT PLEASE
Answer:
C
Step-by-step explanation:
All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.
If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25
Tanya wants to sew her own jean jacket. She found a sewing pattern for her size and realized she
needs 4 yards of fabric. She goes to the store and finds the denim fabric she likes, which is priced
at $7.50 per yard. She also needs to buy buttons to put on the jean jacket. She finds a pack of
buttons priced at $6.99. How much will Tanya spend at the store on her fabric and buttons?
Answer:
$36.99
Step-by-step explanation:
Fabrics per yard = $7.50
Pack of buttons = $6.99
Fabrics needed = 4 yards
How much will Tanya spend at the store on her fabric and buttons?
Total cost of fabric and button = cost of 4 yards of fabric + pack of buttons
= 4(7.50) + 6.99
= 30 + 6.99
= 36.99
Total cost of fabric and button = $36.99
Suppose that $50,000 from a retirement account is invested in a large-cap stock fund. After 20 yr, the value is $175,222.57. Use the model A=Pe^rt to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. Avoid rounding in intermediate steps. The average rate is approximately __%
Answer:
6%
Step-by-step explanation:
The average rate is approximately 2%
The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)
Given the following parameters
\(P = \$50,000\)
A = $175,222.57
t = 20 years
Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)
Hence the average rate is approximately 2%
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Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
92√
9 square root of 2
93√
9 square root of 3
93√2
the fraction with numerator 9 square root of 3 and denominator 2
92√2
I need help!!! and make sure its 100 percent right!! my graduation is at rate of not passing
Answer:
I'm not 100% sure I'm right but I think x = -1
because it says "f(x)" and then it says"Find f(-1)" so that is why I think x = -1
Simplify the quantity negative 7 times a to the 3rd power times b to the negative 3 power end quantity divided by the quantity 21 times a times b end quantity.
The simplified form of the expression \((-7a^3b^{-3})\) / (21ab) is \((-a^2) / (3b^3),\) removing negative exponents and canceling out common factors.
To simplify the given expression, let's break it down step by step.
The expression is:
\((-7a^3b^{-3}) / (21ab)\)
First, we can simplify the numerator by applying the exponent rules.
The negative exponent in the numerator can be rewritten as a positive exponent in the denominator:
\((-7a^3) / (21ab^3)\)
Next, we can simplify the fraction by canceling out common factors in the numerator and denominator. In this case, we can cancel out the common factor of 7:
\((-a^3) / (3ab^3)\)
Now, we can simplify the remaining terms by canceling out the common factor of 'a':
\((-a^2) / (3b^3)\)
Finally, we have simplified the expression to \((-a^2) / (3b^3)\).
In this simplified form, the expression no longer contains negative exponents or common factors in the numerator and denominator.
To summarize, the simplified form of the expression \((-7a^3b^{-3}) / (21ab)\) is \((-a^2) / (3b^3).\)
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can someone pls help
ZA and ZB are vertical angles. If mA = (5x + 1)° and m/B = (4x + 3)°,
then find the value of x.
Answer:
x=2
Step-by-step explanation:
Vertical angles are equal.
5x+1=4x+3
-1 -1
5x=4x+2
-4x -4x
1x=2
x=2
The value of x is 2.
5(2)=4(2)+2
10=8+2
10=10
Hope this helps.
The base of a triangle is fixed at 2.218 millimeters. Determine the number of
significant figures of the area of the triangle with each given height
When the base of a triangle is fixed at 2.218 millimeters, the area will be 0.1098 mm².
What will the area be?It should be noted that the area of a triangle is calculated as:
Area of triangle = (1/2)×base×height
= (1/2) × 2.218 mm × 0.099 mm
= 1.109 mm × 0.099 mm
= 0.109791 mm²
≈ 0.1098 mm²
Therefore, the area is 0.1098 mm².
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The base of a triangle is fixed at 2.218 millimeters. Determine the number of
significant figures of the area of the triangle with each given height of 0.099mm.
Someone help? Im giving 20 points.
Use the diagram to answer the questions below. Note: This image is not drawn to scale.
Line l is parallel to line m and is cut by the transversal, t.
What is the measure of angle g?
What is the measure of angle h?
Answer:HOla
Step-by-step explanation:
Answer:
Angle g: 85 angle h: 95
Step-by-step explanation:
(5 pts) interpolation is used to determine values beyond a given set of data points. a) true b) false
The statement "interpolation is used to determine values beyond a given set of data points" is true
The given statement is " interpolation is used to determine values beyond a given set of data points"
The interpolation is a method in statistics that used to determine or estimate the unknown values in the given set of values. So it is usually used to estimate the price and the potential yield of security
In the interpolation, we use the values from the given set of the data point and estimate the unknown values or values beyond the given set of data points
Therefore, the given statement is true
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