Answer:
Kenyon could make a total of 7 bouquets.
Step-by-step explanation:
To find the greatest number of bouquets we need to find GCF.
We need to find GCF for 21 and 28.
The factors of 21 are: 1,3,7, and 21.
The factors of 28 are: 1,2,4,7,14, and 28
1 and 7 are the common factors between 21 and 28.
From the factors, the greatest common factor is 7.
The boxplot displays the total cost of attendance for all US public and private universities.
Use this graphic to complete the statements.
Both distributions of the total cost of attendance are
. The average cost of attendance is higher for
universities. The costs of more than
% of the public institutions were within the costs of the lowest 25% of private institutions. Both the range and IQR was higher for
universities. Both distributions have
outliers.
Both distributions of the total cost of attendance are skewed right
The average cost of attendance is higher for private universities.
The costs of more than 75 % of the public institutions were within the costs of the lowest 25% of private institutions.
Both the range and IQR was higher for private universities
Both distributions have outliers.
What is a box plot?A boxplot is a standardized way of displaying the distribution of data based on a five number summary (“minimum”, first quartile [Q1], median, third quartile [Q3] and “maximum”).
It can tell you about your outliers and what their values are
Learn more about box plot on
https://brainly.com/question/14277132
#SPJ1
Answer:
skewed right private 75 private do have outliers
Step-by-step explanation:
need help please. i don't understand
Answer:
A) oblique hexagonal prism
Step-by-step explanation:
Answer:
right hexagonal prism
Step-by-step explanation:
as seen on the Image below the left one is a right hexagonal prism and the right one is a oblique hexagonal prism.
Solve the equation below. Give the solution as an integer or reduced fraction.
log5 (x-7)= 2
[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{ \textit{we'll use this one} }{a^{log_a (x)}=x} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_5(x-7)=2\implies 5^{\log_5(x-7)}=5^2\implies x-7=5^2 \\\\\\ x-7=25\implies x=32[/tex]
Jacob needs to know the volume of the cylinder shown. Which expression will give him the correct volume
Answer:
3.14 (24 square) (2.5)
Step-by-step explanation:
3.14 24 square 2.5
X radius squared X height???
Zeke and his stepmother wanted to start volunteering together. They found 9 opportunities online, 7 of which involved working at an animal shelter.
If they randomly chose to apply to 6 of the opportunities, what is the probability that all of them involve working at an animal shelter?
The likelihood that they will choose to work in an animal shelter for each of the six options they choose is around 0.2214 or 22.14%
The probability is given as,
P = (Favorable event) / (Total event)
The likelihood of choosing an opportunity at an animal shelter is 7/9. If each chance is equally likely to be chosen, the likelihood of choosing six in a row from an animal shelter may be estimated by multiplying the likelihood of choosing one opportunity by itself six times:
P = (7/9) x (7/9) x (7/9) x (7/9)
P = (7/9)⁶
P = 0.2214 or 22.14%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles
Answer:
Step-by-step explanation:
1. Get mileage per gallon by dividing miles traveled by gallons used
[tex]\frac{125}{5} = 25 mpg\\[/tex]
2. Divide miles you want to travel by the mileage per gallon you got on the first step
[tex]\frac{400}{25} = 16 gallons[/tex]
Can someone please help me with this !! i need this bad for my grade
The length of the third side of the triangle is 10.7 feet.
How to find the side of a triangle?Patricia is building a garden in her backyard that is shaped like a triangle. She has already built two sides of the garden and they have length of 6 feet and 7 feet.
She wants to find the length of the third side. The angles between the the built sides is 110 degrees.
Therefore, let's find the third sides using the included angle and the two known sides.
using cosine rules,
c² = a² + b² - 2ab cos C
c² = 6² + 7² - 2(6)(7) cos 110
c² = 36 + 49 - 84 cos 110°
c² = 85 - 84(-0.34202014332)
c² = 85 + 28.7296920394
c = √113.729
c = 10.6643799632
c = 10.7 feet
Therefore,
third side of the triangle = 10.7 feet
learn more on triangle here: brainly.com/question/3770177
#SPJ1
The triangles below are similar. Find the value of X. The image is not to scale
Answer:
x is 25
Step-by-step explanation:
There is a common ratio between the sides. In this case, 35/28 is 1.25. This is the number you have to multiply to 20. 1.25 * 20 = 25.
Simplify to an expression involving a single trigonometric function with no fractions.
[tex]\sin^2(\theta)+\cos^2(\theta)=1\hspace{9em} \begin{array}{llll} \textit{Symmetry Identities} \\\\ \sin(-\theta )=-\sin(\theta) \\\\ \cos(-\theta )=\cos(\theta ) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\cot(-x)\cos(-x)+\sin(-x)\implies \cfrac{\cos(-x)}{\sin(-x)}\cos(-x)+\sin(-x) \\\\\\ \cfrac{\cos(x)}{-\sin(x)}\cos(x)+[-\sin(x)]\implies \cfrac{-\cos^2(x)}{\sin(x)}-\sin(x) \\\\\\ \cfrac{-\cos^2(x)-\sin^2(x)}{\sin(x)}\implies \cfrac{-( ~~ \cos^2(x)+\sin^2(x) ~~ )}{\sin(x)} \\\\\\ \cfrac{-( ~~ 1 ~~ )}{\sin(x)}\implies -\cfrac{1}{\sin(x)}\implies -\csc(x)[/tex]
Josh weighed cantaloupes he picked from his garden. This line plot shows the cantaloupe weights. What is the total weight of all the cantaloupes that weigh more than 2 1/2 pounds?
7 3/4 lb
8 lb
8 1/4 lb
8 2/4 lb
The total weight of all the cantaloupes that weigh more than 2 1 / 2 pounds is 8 2 / 4 lb .
What is the total weight ?As shown on the line plot, the number of cantaloupes with a higher mass than 2 1 / 2 pounds are those which have a weight of 2 3 / 4 pounds.
There are enough of them that when they are added up, we get the sum of 8 2 / 4 lb as the total mass of the cantaloupes. This can also be written in decimals as 8. 5 lb.
In conclusion, option D. is correct.
Find out more on weight at https://brainly.com/question/18802926
#SPJ1
Use technology to help you test the claim about the population mean, , at the given level of significance, , using the given sample statistics. Assume the population is normally distributed.
The null hypothesis and the alterative hypothesis are [tex]H_0[/tex] : [tex]\mu[/tex] > 1220
[tex]H_\alpha[/tex]: [tex]\mu[/tex] ≤ 1220.
The standardized test statistic is 1.725.
We have,
[tex]\mu[/tex] > 1220,
α = 0.03
[tex]\sigma[/tex] = 202.17
X = 1249.88
n= 300
a) According to the claim and the sample statistics, the null hypothesis and the alterative hypothesis are given by:
[tex]H_0[/tex] : [tex]\mu[/tex] > 1220
[tex]H_\alpha[/tex]: [tex]\mu[/tex] ≤ 1220
b) The standardized test statistic is
=| [tex](\mu[/tex] - X) / ([tex]\sigma[/tex] / √n)|
= |( 1220 - 1249.88) / (202.17/√300)|
= |(-29.88)/ 17.320|
= |-1.725|
= 1.725
Learn more about Null Hypothesis here:
https://brainly.com/question/28920252
#SPJ1
The volume of the tank is cubic feet and it will be completely filled with water at the end of minutes.
Answer:
there is missing information needed to provide a solution to this problem.
A slide at a water park with a constant slope sends riders traveling a distance of 45 feet to the pool at the bottom of the slide. If the depth of the pool is 12 feet, and the angle of depression from the top of the slide is 45 ° what is the vertical distance from the top of the slide to the bottom of the pool? Round answers to the nearest tenth.
The required vertical distance from the top of the slide to the bottom of the pool is 43.8 feet.
We can use trigonometry to solve this problem. Let's call the vertical distance from the top of the slide to the bottom of the pool "h" (in feet). We can use the angle of depression (45°) to find the horizontal distance from the top of the slide to the bottom of the pool. Since the slide has a constant slope, the angle between the slide and the ground is also 45°. It implies that the vertical height is equal to the horizontal projection of the slide.
Apply Pythagorean theorem,
45² = h² + h²
h = 45/√2
h = 31.8
Now, as mentioned that depth of the pool is 12 feet so, the total vertical height is given as,
= h + 12
= 31.8 + 12
= 43.8 feet
Thus, the required vertical distance from the top of the slide to the bottom of the pool is 43.8 feet.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ1
Use Heron's formula to find the area of the triangle with side lengths 6, 9, and 12, as shown below.
Answer:
√(6 + 9 +12) = √27 = 3√3
√(-6 + 9 + 12) = √15 = √3√5
√(6 - 9 + 12) = √9 = 3
√(6 + 9 - 12) = √3
(1/4)(3√3)(√3√5)(3)(√3)
= (1/4)(27√3)(√5) = (27√15)/4 = 26.1
Answer:correct answer is 26.1
Step-by-step explanation:
Heron's formula states that the area (A) of a triangle with side lengths a, b, and c is given by:
A = √(s(s-a)(s-b)(s-c))
where s is the semiperimeter, which is half the perimeter of the triangle:
s = (a + b + c) / 2
In this case, the side lengths are a = 6, b = 9, and c = 12. Therefore, the semiperimeter is:
s = (6 + 9 + 12) / 2 = 27 / 2
Using Heron's formula, we can now calculate the area of the triangle:
Income 26-28 28-30 30-32 32-34 34-36
Frequency 2 11 8 5 4
The class that contains the 80th percentile is. a) 26-28 b) 28-30 c) 30-32 d) 32-34 e) 34-36
The class that contains the 80 th percentile is d) 32-34.
How to find the class ?First, find the total frequency of the income :
Total frequency = 2 + 11 + 8 + 5 + 4 = 30
The position of the number at the 80 th percentile would then be :
= 30 x 80 %
= 24 th position
The cumulative frequency of :
26 - 28 = 2
28 - 30 : 2 + 11 = 13
30 - 32 : 13 + 8 = 21
This then means that the 24 th position is in the next interval of 32 - 34.
Find out more on percentiles at https://brainly.com/question/31484334
#SPJ1
Which of the following equations describes the
graph below?
Answer:
5x + 3y = - 15
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = [tex]\frac{-5-0}{0-(-3)}[/tex] = [tex]\frac{-5}{0+3}[/tex] = - [tex]\frac{5}{3}[/tex]
the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = - [tex]\frac{5}{3}[/tex] x - 5 ← in slope- intercept form
multiply through by 3 to clear the fraction
3y = - 5x - 15 ( add 5x to both sides )
5x + 3y = - 15 ← in standard form
In a greenhouse, Brazil is grown in planters that have a base of 4 1/5 In by 1 1/3 in. If there is a 3 x 3 array of these planters with no space between them, what is the area covered by the planters
Answer:
The area of one planter is:
4 1/5 in × 1 1/3 in = (21/5) in × (4/3) in = 28/5 in²
In a 3 x 3 array, there are 3 planters in each row and 3 planters in each column, so there are a total of 9 planters.
The area covered by the planters is:
9 × (28/5) in² = 252/5 in² ≈ 50.4 in²
Therefore, the area covered by the planters is approximately 50.4 square inches.
Step-by-step explanation:
mark brainliest
Sarah is building a 10-foot-long pen for her pet rabbits. She wants to make gravel bases for two circular food containers to go inside the pen along with its width, as shown in the diagram. Let y represent the width of the pen and x represent the radii of the gravel bases and food containers. What system of inequalities can be used to determine the width of the pen, y, and the radii of the gravel bases, x?
1. The width of the pen must be greater than or equal to the sum of the diameters of the two circular food containers, which is equal to 2x + 2x = 4x:
y ≥ 4x2. The width of the pen must also be less than or equal to the length of the pen, which is 10 feet:
y ≤ 103. The radii of the gravel bases must be greater than or equal to the radii of the food containers, which is equal to x:
x ≥ x4. The radii of the gravel bases must also be less than or equal to half the width of the pen, which is equal to y/2:
x ≤ y/2SYSTEM OF INEQUALITIESSystem of inequalities that can be used to determine the width of the pen, y, and the radii of the gravel bases, x, is:
y ≥ 4xy ≤ 10x ≥ 0x ≤ y/2Answer:
Step-by-step explanation:
The sum of the diameters of the gravel bases cannot exceed the width of the pen, so 2x+2x≤y. Rewrite this to get y≥4x as the first inequality in the system.Next, to write the expression for the cost of the fencing, find the perimeter of the rectangle and multiply the perimeter by the cost per foot of fencing. The pen is a rectangle, so the perimeter is 2(10)+2(y), or 20+2y. Multiply the cost ($4.00 per foot) by the perimeter to get 4(20+2y).Now write an expression for the gravel bases for the circular food containers. Because A=πr2 and the cost of the gravel is $2.00 per square foot, multiply the cost of the material by the sum of these areas to get 2(πx2)+2(πx2).The total cost must be less than or equal to $150, so we can say that 4(20+2y)+2(πx2)+2(πx2)≤150. Finally, simplify and solve for y.80+8y+2πx2+2πx2≤15080+8y+4πx2≤1508y≤70−4πx2y≤8.75−0.5πx2So, this is the system.
y≥4x
y≤8.75−0.5πx2
NO LINKS!! URGENT HELP PLEASE!!!
Use a flowchart to prove the triangles below are congruent:
Answer:
- angle T is congruent to angle U (given)
- NS is congruent to SH (given)
- angle TSN is congruent to USH (vertical angles are congruent)
So triangle TNS is congruent to triangle UHS by AAS.
A
Select the correct answer.
Which system of linear inequalities is represented by this graphed solution?
OA y> -+2
V≤ 32-1
OB V<= +2
v2 32-1
Ocy> -2x + 2
vs-1
OD S-2 +2
v < 30-1
The two inequalities of the graph are:
y ≥ 3x - 1
y < -¹/₂x + 4
How to identify inequality graph?
The general form of the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.
The first inequality with a solid line has a y-intercept of -1 and since it is shaded above the line, we will use ≥.
Two coordinates on the line are: (0, -1) and (1, 2)
The slope = (2 + 1)/(1 - 0) = 3
Thus, inequality is:
y ≥ 3x - 1
The second inequality with a dashed line has a y-intercept of 4 and since it is shaded below the line, we will use <.
Two coordinates on the line are: (4, 0) and (0, 2)
The slope = (2 - 0)/(0 - 4) = -1/2
Thus, inequality is:
y < -¹/₂x + 4
Read more about Inequality Graph at: https://brainly.com/question/11234618
#SPJ1
Find the distance between (-2.1,80°) and (-1.8,-70°)
Answer:
15,136 km
Step-by-step explanation:
Im not 100% sure but everyone meses up sometimes/
256 chairs in the cafeteria. this is 8 times as many chairs in the library. total chairs in the library
Answer:
32
Step-by-step explanation:
in the word problem “256 chairs in the cafeteria. this is 8 times the chairs in the library.” Which means 8 times the number of chairs in the library equals the number of chairs in the cafeteria.
L = library
8 x L = 256
to find L divided 256 by 8
256/8 = 32
L = 32
Check the answer
8 x 32 = 256
Four different exponential functions are represented below.
Drag the representation of each function into order from greatest y-intercept to least y-
intercept.
The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.
How to solve
We have the 4 functions as shown in the image attached.
The y - intercept is the point where the graph intercepts the y - axis.
Function [1] -
y = 4 + 2x
y - intercept is 4
Function [2] -
y = 5ˣ + 1
y - intercept is 2.
Function [3] -
the y-intercept is 1.
Function [4] -
the y - intercept is at -1.
Therefore, the greatest y-intercept is of function -
f(x) = 2x + 4
and the least y-intercept is of the function shown in graph [4] or function [4].
Read more about graphs here:
https://brainly.com/question/26233943
#SPJ1
Answer:
Carlos puts $3 into his bank account and it grows by 50% each year
f(x)=4^x+1
(The Table)
(The Graph)
Please answer number 3
For 3 personal training session both gym cost same.
We have,
At Silver gym, membership is $25 per month and personal training sessions are $30 each.
At Fit Factor, membership is $65 per month, the and personal training sessions are $20 each.
let the number of personal session be x.
So, 25+ 30x = 65 + 20x
30x - 20x = 65 - 25
10x = 30
x= 3 sessions
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ1
A set of data items is normally distributed with a mean of 80 and a standard deviation of 9. Convert 71 to a z-score.
271 = 0
(Type an integer or a decimal.)
The z-score for 71 is -1.
Understanding Z-score calculationz-score is a measure of how many standard deviations an observation or data point is away from the mean of a distribution.
It is calculated by subtracting the mean from the observation and then dividing the result by the standard deviation: z = (x - μ) / σ
A positive z-score means that the data point is above the mean, while a negative z-score means that it is below the mean.
Applying the formula to solve our question
Here is a proven formula to use:
z = (x - μ) / σ
where:
x = the data item (x = 71)
μ = the mean of the distribution (μ = 80)
σ = the standard deviation of the distribution (σ = 9)
Substituting the values, we get:
z = (71 - 80) / 9
z = -1
Learn more about normal distribution here:
https://brainly.com/question/4079902
#SPJ1
Suppose that 4 friends are given a vintage arcade game that they want to share. If they decide to divide their time, and they decide that they have 26 hours of available time to play in a week, what is each person's fair share of the playing time?
Answer: 6.5
Step-by-step explanation:
26/4 = 6.5 hours
Given that NL HI and NM JK, find the radius of circle N if JK=14. Round the answer to the hundredths place. A. 12.56 B. 12.57 C. 13.03 D. 13.04
The value of the radius is 13.04
What is Pythagoras theorem?Pythagoras theorem states that: The sum of square of the two legs of a right triangle is equal to the square of the other side.
Therefore c² = a² + b²
Since MN is perpendicular to JK , this means MK = JM = JK/2
= 14/2 = 7
HI = JK, therefore LI is also 7
and MN = LN = 11
Therefore,
NI =√ LN)² + LI)²
NI = √ 11² + 7²
NI = √121+49
NI = √ 170
NI = 13.04( nearest hundredth)
therefore the radius of the circle is 13.04
learn more about Pythagoras theorem from
https://brainly.com/question/343682
#SPJ1
Lisa decides that she wants to know the 98% confidence interval for a population mean despite originally setting out to find the 95% confidence interval. How will this affect the width and the margin of error of her confidence interval for a population mean? Assume that the population standard deviation is unknown and the population distribution is approximately normal.
The breadth and error margin of the confidence interval will rise when the confidence level is raised from 95% to 98%.
We are more certain that the genuine population mean falls inside the interval if the confidence level is larger. The range of feasible values for the population means will be broader since we need to widen the interval in order to reach this higher degree of confidence.
Since the margin of error equals half of the interval's breadth, it is directly proportional to the interval's width. The margin of error will therefore expand as the confidence level does as well.
More about the margin of error link is given below.
https://brainly.com/question/6979326
#SPJ1
complete the table on the relation
Use the Tree Diagram below to answer the following question.
Whats the probability that you will get a 15-inch monitor?
P(15-inch) = ?
a. 0
b. 1
c. 2/6
d. 3
50 points!
The probability that you will get a 15-inch monitor = 1/3
We know that probability of event is the ratio of number of possible outcomes of event A and the total number of outcomes.
Let us assume that event A = you will get a 15-inch monitor
The number of favourable outcomes for event A are 2
So, n(A) = 2
The sample space for this experiment would be,
n(S) = 6
Using the definition of probability, the required proabability would be,
P(A) = n(A) / n(S)
P(A) = 2/6
P(A) = 1/3
Therefore, the required probability = 1/3
Learn more about the probability here:
https://brainly.com/question/15124899
#SPJ1