The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.
we have to standardize the values and utilize the standard typical dispersion table or calculator.
To discover the z-scores for 4.0 and 6.0 minutes:
z1 = (4.0 - 6.0 ) / 0.70 = 2.8
z2 = (4.5 - 6.0 ) / 0.70= 2.1
Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:
P(0 ≤ Z ≤ 2.1) = 0.4332
However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.
To know more about probability refer to this :
brainly.com/question/24756209
#SPJ1
The table and graph show the number of rabbits in a national park over an 18-year
I apologize, but it seems that the table and graph you mentioned did not come through in your message. Could you please provide the table and graph or describe the information in more detail? That way, I can assist you with your question.
Which of the following ordered pairs represents the point plotted and labeled B?
(3, −1)
(−1, 2)
(3, 1)
(1, 2)
(3,1)
Ordered pairs are always ordered as (x,y). Point B has an x-value of 3 and a y-value of 1.
please help i will give brainly
What is the length of CD?
Round to one decimal place.
Because ∠DAC equals ∠BAD, we can conclude that triangles ΔABC and ΔACD are similar according to the Angle-Angle (AA) similarity criterion. Then the length of the CD is 8.3.
To find the length of the CD, we can use the similarity of triangles ΔABC and ΔACD. Since∠ DAC is equal to ∠ BAD, we can conclude that triangles ΔABC and ΔACD are similar by the Angle-Angle (AA) similarity criterion.
Using the given information:
AB = 5.7
AC = 5.1
BD = 3.6
Let's set up the proportion based on the similarity of triangles ΔABC and ΔACD:
AB/AC = BC/CD
Substituting the given values:
5.7/5.1 = (5.7 + 3.6)/CD
Simplifying the equation:
1.1176 = 9.3/CD
Cross-multiplying:
CD = 9.3 / 1.1176
Calculating CD:
CD ≈ 8.3214
Therefore, Rounding the CD to one decimal place, the length of the CD is approximately 8.3.
To learn more about AA(Angle-Angle) similarity criterion click:
https://brainly.com/question/12042661
#SPJ1
a seller has a house that is 2100 ft. The neighborhood comps show the line of best fit to be y = 0.074x + 50.48
Based on the line of best fit, the predicted price for the seller's house with a size of 2100 square feet is approximately $205.88.
In the given scenario, the seller has a house that is 2100 square feet. The line of best fit for the neighborhood comps is expressed as y = 0.074x + 50.48. Here, "x" represents the square footage of a house, and "y" represents the predicted price based on the square footage.
To determine the predicted price of the seller's house, we substitute the square footage (x) with 2100 in the equation:
y = 0.074 * 2100 + 50.48
Calculating the expression, we have:
y = 155.4 + 50.48
y = 205.88
Hence, the predicted price for the seller's house, based on the line of best fit, is approximately $205.88.
It's important to note that the line of best fit is derived from neighborhood comps and may not perfectly predict the actual price of the seller's house. It serves as an estimation based on the trend observed in the neighborhood.
For more question on line
https://brainly.com/question/24024505
#SPJ11
Write the coordinates of the vertices after a dilation with a scale factor of 1/3 considered at the origin
The coordinates of the vertices after a dilation with a scale factor of 1/3 considered at the origin include:
Q' (-3, -3).
R' (1, -3).
S' (3, 3).
T' (-1, 3).
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.
In this scenario and exercise, we would dilate the coordinates of the vertices by applying a scale factor of 1/3 that is centered at the origin as follows:
Coordinate Q (-9, -9) → Q' (-9 × 1/3, -9 × 1/3) = Coordinate Q' (-3, -3).
Coordinate R (3, -9) → R' (3 × 1/3, -9 × 1/3) = Coordinate R' (1, -3).
Coordinate S (9, 9) → S' (9 × 1/3, 9 × 1/3) = Coordinate S' (3, 3).
Coordinate T (-3, 9) → T' (-3 × 1/3, 9 × 1/3) = Coordinate T' (-1, 3).
Read more on dilation and scale factor here: brainly.com/question/4421026
#SPJ1
conner has 3 times as many trading cards as max. If connor has 90 trading cards, how many trading cards does max have?
Answer:
Max has 30 cards
Step-by-step explanation:
C:M
3x:x
Conner has 90 trading cards
3x=90
divide by 3
x=30
this means that Max has 30 cards
Gaurav was conducting a test to determine if the average amount of medication his patients were taking was similar to the national average. He wants to use a 5% significance level for his test to help ensure that his patients do not receive too little or too much medication. If Gaurav were to conduct a test, what probability value would indicate that his null hypothesis (that there is no significant difference between the amount of medication Gaurav's patients are receiving and the national average) would be rejected?
A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.
In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.
Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.
If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.
The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.
If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.
Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.
Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.
This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.
For similar questions on probability
https://brainly.com/question/25870256
#SPJ11
Réduire l'expression suivante :
4
�
+
8
+
(
6
�
−
7
)
−
(
8
�
+
9
)
4x+8+(6x−7)−(8x+9)
To simplify the given expression: 4x + 8 + (6x - 7) - (8x + 9), we can follow the order of operations (parentheses, exponents, multiplication and division, and addition and subtraction) to simplify it step by step.
First, let's simplify the expression inside the parentheses:
6x - 7 becomes 6x - 7
8x + 9 becomes 8x + 9
Now, let's simplify the entire expression:
4x + 8 + 6x - 7 - 8x - 9
Combining like terms:
(4x + 6x - 8x) + (8 - 7 - 9)
2x - 8
Therefore, the simplified form of the expression 4x + 8 + (6x - 7) - (8x + 9) is 2x - 8.
Lashonda made $289 for 17 hours at work. At the same rate how much would she make for 7 hours of work?
Answer: $119
Step-by-step explanation:
We will find the rate of dollars per hour by dividing.
$289 dollars / 17 hours = $17 dollars per hour
Next, we will multiply this rate by 7 hours.
7 hours * $17 dollars per hour = $119
a bag has equal numbers of magenta turquoise and black marbles. corey picked a marble from the bag, replaced it, then picked another marble. both times he did not select a magenta marble. if he repeats this process 250 times predict how many repetitions will result in no magenta marbles?
The repetitions that result in no magenta marbles will be 62.5.
The expected value is the predicted average outcome of a random variable, calculated by multiplying each outcome by its probability.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
The number of magenta turquoise and black marbles is equal. Thus, the probability will be equal. Then the probability of not selecting a magenta marble is calculated as,
P = (1/2) x (1/2)
P = 1/4
The expected value is calculated as,
E = 1/4 x 250
E = 62.5
More about the expected value link is given below.
https://brainly.com/question/13945225
#SPJ1
Suppose you own 125 shares of a stock that pays a dividend of $0.29 per
share per year. How much will you receive in dividends over 6 years,
assuming the dividends stay the same and you buy no more stock?
OA. $161.25
OB. $217.50
C. $174.00
D. $36.25
Answer:
To calculate the total dividends received over 6 years, we can use the formula:
Total dividends = Annual dividend per share x Number of shares x Number of years
In this case, the annual dividend per share is $0.29, the number of shares is 125, and the number of years is 6.
Total dividends = $0.29 x 125 x 6 = $217.50
Therefore, the answer is (B) $217.50.
Step-by-step explanation:
19
For an ideal gas, it is assumed that no attractive force exists between particles.
This is not true for reall gas. What effect does this attraction have on the
properties of a real gas when compared to those of an ideal gas under
equivalent conditions?
A
The pressure of the real gas is higher.
B
The temperature of the real gas is higher.
C
The pressure of the real gas is lower.
D
The temperature of the real gas is lower.
Points z1 and z2 are shown on the graph.
Part A: Identify the points in standard form and find the distance between them.
Part B: Give the complex conjugate of z2 and explain how to find it geometrically.
Part C: Find z2 − z1 geometrically and explain your steps.
The points in standard form are 7 + 3i and 6 - 6i, distance between two complex numbers is √82, complex conjugate of z₂ = 6 + 6i and the value of z₂ - z₁ is -1 - 9i
Given that the points z₁ and z₂ are (7, 3) and (6, -6)
To represent the points z₁ and z₂ in standard form, we write them as complex numbers in the form a + bi, where a represents the real part and b represents the imaginary part.
For z₁ : (7, 3) = 7 + 3i
For z₂: (6, -6) = 6 - 6i
The distance between two complex numbers, we can use the distance formula:
Applying this formula to z₁ and z₂:
Distance = √[(6 - 7)² + (-6 - 3)²]
= √[(-1)² + (-9)²]
= √[1 + 81]
= √82
The complex conjugate of z₂ = 6 - 6i is denoted as z₂' and can be found by changing the sign of -6i:
z₂ = 6 + 6i
To find z₂ - z₁ geometrically, we can represent z₁ and z₂ as vectors and then subtract them.
First, let's plot the complex numbers z₁ and z₂ on the complex plane:
z₁ (7, 3) is represented by the vector from the origin to the point (7, 3).
z₂ (6, -6) is represented by the vector from the origin to the point (6, -6).
To find z₂ - z₁ , we subtract the vector representing z₁ from the vector representing z₂.
The resulting vector represents z₂ - z₁.
Using the geometric method, we subtract the vector representing z₁ (7 + 3i) from the vector representing z₂ (6 - 6i):
(6 - 6i) - (7 + 3i)
By performing the subtraction:
(6 - 7) + (-6 - 3)i
-1 - 9i
To learn more on Complex numbers click:
https://brainly.com/question/24296629
#SPJ1
Cindy bought a 48 ounce can of papaya juice for $12. What is the unit price per ounce?
Answer:
The unit price is $.25 per ounce.
Step-by-step explanation:
To find the unit price per ounce, take the total cost and divide by the number of ounces
12 dollars/ 48 ounces
.25
The unit price is $.25 per ounce.
Find the lateral surface area and volume of
the solid object shown below.
18.8"
8"
The base is a square.
s = 19.2"
The volume of the solid object is 69.30 in².
We have,
The volume of the triangular prism with a rectangular base is given by the formula V = (lw)h,
where s is the side of the base and h is the height of the prism.
Now,
h = 18.8 in
s² = 19.2² = 368.64 in²
Now,
The volume of the solid object.
= 368.64 x 18.8
= 69.30 in²
Thus,
The volume of the solid object is 69.30 in².
Learn more about Prism here:
https://brainly.com/question/12649592
#SPJ1
Whitney is planning to bake two types of brownies. One type needs cup of
sugar. The other needs cup of sugar. How much sugar in total does Whitney
need to bake all the brownies?
Answer:
Explain:
Whitney needs 5/4 cup of sugar in total to bake all the brownies.
To calculate the total amount of sugar needed to bake all the brownies, we need to add the quantities of sugar required for each type of brownie.
According to the information given, one type of brownie requires 1/2 cup of sugar and the other type requires 3/4 cup of sugar.
To find the total amount of sugar needed, we add these two quantities:
1/2 cup + 3/4 cup
To add fractions, we need to have a common denominator.
The common denominator is 4:
(1/2) x (2/2) cup + (3/4) x (4/4) cup
This simplifies to:
2/4 cup + 12/16 cup
Now, we can add the fractions:
(2/4) cup + (12/16) cup = (4/8) cup + (12/16) cup
Next, we find a common denominator, which is 16:
(4/8) x (2/2) cup + (12/16) x (1/1) cup
This simplifies to:
8/16 cup + 12/16 cup
Finally, we add the fractions:
8/16 cup + 12/16 cup = 20/16 cup
Since 20/16 is an improper fraction, we can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(20/4)/(16/4) cup = 5/4 cup
For similar questions on Whitney
https://brainly.com/question/21939808
#SPJ11
Find the range and mean of 1,3,5,7,9
Answer:
Step-by-step explanation:
Range: what the numbers range from the smallest to largest. Subtract the largest number and smallest.
Range = 9 - 1
Range = 8
Median: Middle number. If you listed numbers in order from smallest to largest, it is the middle number
Median = 5
find the scale factor
Answer:
a. 2
Step-by-step explanation:
We Know
Side AB = 7
Side XY = 14
7 → 14, we time 2. So, the scale factor is 2.
If the three digits of a three-digit number are multiplied ou get 135. Which result to you get, by adding the three digits?
The result obtained by adding the three digits is 17.
Let's denote the three-digit number as XYZ, where X, Y, and Z represent the individual digits.
Given that the product of the three digits is 135, we have the equation
X × Y × Z = 135.
To find the result obtained by adding the three digits (X + Y + Z), we need to determine the individual values of X, Y, and Z that satisfy the given equation.
We can start by listing all possible combinations of three digits that multiply to 135:
1 × 3 × 45
1 × 5 × 27
1 × 9 × 15
3 × 5 × 9
Out of these combinations, we can observe that the sum of the digits in each combination is:
1 + 3 + 45 = 49
1 + 5 + 27 = 33
1 + 9 + 15 = 25
3 + 5 + 9 = 17
Therefore, the result obtained by adding the three digits is 17.
In conclusion, by adding the three digits of the three-digit number, we get the result of 17.
for such more question on three-digit numbers
https://brainly.com/question/20118982
#SPJ11
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
Learn more about graphs here:
https://brainly.com/question/17267403
#SPJ1
The table shows the poplulation of a town from 1996 to 2004. Assume that t is the number of
years since 1996 and P is measured in thousands of people.
Year Population
0
22.8
1
25
2
26.5
3
27.1
4
27.8
28.1
27.9
26.9
26.1
5) What model would best fit this data?
5
6
7
8
7) Use your equation from #6 to determine
what year the population will be less than
24,000 (round to the nearest whole
number if necessary).
6) Use a calculator to find the regression
equation (round to the nearest hundredths
if needed).
8) Use your equation from #6 to find the
population in 2008 (round to the nearest
whole number if necessary).
To determine the best model for fitting the given data, we can analyze the trend and pattern in the population values over time. One common approach is to perform linear regression to find the equation of the line that best represents the data.
To find the regression equation, we'll use the given data points (t, P) as follows:
t: 0, 1, 2, 3, 4
P: 22.8, 25, 26.5, 27.1, 27.8
Using a calculator or statistical software, we can perform linear regression to find the equation of the line that best fits the data. The equation will have the form:
P = mt + b
where m represents the slope of the line and b represents the y-intercept.
Performing the regression calculation, we find that the equation of the line that best fits the data is approximately:
P = 1.155t + 22.625
To determine the year when the population will be less than 24,000, we can substitute P = 24 into the equation and solve for t:
24 = 1.155t + 22.625
1.155t = 24 - 22.625
1.155t = 1.375
t ≈ 1.19
Rounding to the nearest whole number, we find that the year when the population will be less than 24,000 is 1 (1997).
To find the population in 2008, we substitute t = 12 into the equation:
P = 1.155(12) + 22.625
P ≈ 36.18
Rounding to the nearest whole number, the estimated population in 2008 is 36,000.
In summary:
6) The linear regression equation that best fits the data is P = 1.155t + 22.625.
The population will be less than 24,000 in the year 1997.
The estimated population in 2008 is 36,000.
<33
what is the slope of the line represented by the equation below?
y= 1/3x +4
Step-by-step explanation:
y = 1/3 x +4
is the equation of a line in the form
y = mx+b where m =slope and b = the y-axis intercept
so m = slope = 1/3 for this line
Answer:
[tex]\huge\boxed{\sf Slope = 1/3}[/tex]
Step-by-step explanation:
Given equation:[tex]\displaystyle y=\frac{1}{3} x + 4[/tex]
General form of slope-intercept equation:y = mx + c
Where m is slope and c is y-intercept.
So,
By comparing both the equations, we get:
m = 1/3
Slope = 1/3[tex]\rule[225]{225}{2}[/tex]
A square is inscribed in a circle. If the area of the square is 9 in.^2 , what is the ratio of the circumference of the circle to the perimeter of the square?
Answer:
π√2 : 4
Step-by-step explanation:
if area of square is 9, each side = 3.
radius of circle = √[(3/2)² + (3/2)²]
= (3√2)/2.
Diameter = 2 X radius = 3√2.
Circumference = π X D
= 3π√2
perimeter of square = 3 + 3 + 3 + 3 =12.
ratio of circumference to perimeter is
3π√2 : 12
= π√2 : 4
the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
Long division by single digit (no remainder)
Grade 4 Division Worksheet
Find the quotient.
1.
3 561
2.
2 308
3.
8 288
4.
7 616
5.
5 365
6.
9 990
7.
6 294
8.
6 180
9.
5 205
Sure! Here are the solutions for the long division problems:
3 561 ÷ 7 = 509
2 308 ÷ 4 = 577
8 288 ÷ 9 = 920
7 616 ÷ 8 = 952
5 365 ÷ 5 = 1 073
9 990 ÷ 3 = 3 330
6 294 ÷ 7 = 899
6 180 ÷ 6 = 1 030
5 205 ÷ 9 = 578
Please note that the results are rounded down to the nearest whole number since you specified "no remainder" in the problem statement.
2.3y+1.2x=0
1.1x+0.1y=1.2
Linear or nonlinear
The area of parallelogram is 36 square meters. If the height is 4 meters, what is the length of the base
Answer:
The area of a parallelogram is given by the formula:
Area = base * height
We are given that the area is 36 square meters and the height is 4 meters. Substituting these values into the formula, we get:
36 = base * 4
36 / 4 = base
9 = base
Therefore, the length of the base is 9 meters.
Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.
f(2) =
1
f−1(1) =
⇒ 2
f−1(f(2)) =
⇒ 2
f−1(−2) =
1
⇒ -4
f(−4) =
2
⇒ -2
f(f−1(−2)) =
2
⇒ -2
In general, f−1(f(x)) = f(f−1(x)) =
Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :
f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2
f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2
Given a function,
f(x) = 1/2 x
And an inverse function,
f⁻¹(x) = 2x
We have to find the values of the following.
f(2) = 1/2 × 2 = 1
f⁻¹(1) = 2 × 1 = 2
f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2
f⁻¹(-2) = 2 × -2 = -4
f(-4) = 1/2 × 4 = -2
f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2
So, in general, f⁻¹(f(x)) = f(f⁻¹(x))
Learn more about Inverse Functions here :
https://brainly.com/question/29141206
#SPJ1
pls help asap wwill mark brainleist
Answer:
Step-by-step explanation:
[tex]10x-7=103\text{\quad (vertically opposite angles are equal)}[/tex]
[tex]10x=110[/tex]
[tex]x=11[/tex]
select the fraction that has a numerator of 7
B
7/10 has a 7 in the numerator
Answer:
B, 7/10
Step-by-step explanation:
The numerator is the number being divided in the fraction (the number on the top)