Answer:
Step-by-step explanation:
The length of AC should be between 5 inches and 25 inches
Jose in this problem draws a triangle, ABC.
We know the length of two sides of the triangle:
AB = 10 inches
BC = 15 inches
The length of the third side in a generic triangle can be calculated using the cosine theorem:
where
a, b, c are the three sides
is the angle opposite to side
Looking at the formula, we observe that:
- The maximum value for is obtained for , so that . In this case, the length of the missing side (AC, in this case) is
- The minimum value for is obtained for , for which , so in this case the length of AC is
So, the length of AC must be between 5 and 25 inches.
-Random Brainly user
Answer:
10 inches and yes
Step-by-step explanation:
if you start with A then draw a line to B which is 10 inches, then you draw to C 15 inches. to finish the triangle would be A to C which would be the same thenth as A to B. your only choice to finish the triangle is A to C. left and right side of the triangle would be the same. bottom of the triangle is 15, B to C
Hey I need help .. again we’re doing log lines
Answer:
Step-by-step explanation:
A(b) is a function
True or false
Answer:
false
Step-by-step explanation:
because if one of the right side goes to two or more of the left its not a function
Valentina buys a chandelier priced at $713. If the sales tax is 4%, how
much tax will
Valentina pay?
Answer:
$741.52 TRUSTTT
Step-by-step explanation:
Answer:
x + (tax percent out of 100)*x, which is 748.65.
NO LINKS!! URGENT HELP PLEASE!!!
Determine if the scenario involves mutually exclusive events.
32. A cooler contains 12 bottles of sports drinks: 4 lemon-lime flavored, 3 orange-flavored, and 5 fruit-punch flavored. You grab a bottle. It is a lemon-lime or an orange.
33. Find the 5 number summary (Min, Q1, Median, Q3, Max) for the following data and draw a box and whisker graph.
18, 24, 28, 28, 36, 44, 50, 67
Answer:
32) 7/12 ≈ 58.3%
33) Min = 18
Q1 = 26
Median = 32
Q3 = 47
Max = 67
Step-by-step explanation:
Question 32To determine the probability of grabbing a lemon-lime or an orange-flavored bottle from the cooler, we need to calculate the number of favorable outcomes and the total number of possible outcomes.
In the given scenario, there are 4 lemon-lime flavored bottles and 3 orange-flavored bottles in the cooler, plus 5 fruit-punch flavored bottles. Therefore:
Number of favorable outcomes = 4 + 3 = 7Total number of bottles = 4 + 3 + 5 = 12The probability of grabbing a lemon-lime or an orange-flavored bottle is:
[tex]\begin{aligned}\sf Probability &= \sf \dfrac{Favorable\;outcomes}{Total\; outcomes}\\\\&=\dfrac{7}{12}\\\\& \approx 58.3\%\end{aligned}[/tex]
[tex]\hrulefill[/tex]
Question 33The five-number summary is a statistical summary of a dataset that includes the minimum and maximum values, the median (middle value), and the first and third quartiles. It provides a concise overview of the distribution and central tendency of the data.
First, sort the given data in ascending order (this has already been done for us):
18, 24, 28, 28, 36, 44, 50, 67Minimum valueThe minimum value is the smallest value in the data set.
[tex]\boxed{\sf Minimum \; value = 18}[/tex]
MedianThe median is the middle value of the sorted data.
In this case, we have 8 data points, so the median is the average of the two middle values:
[tex]\boxed{\sf Median\;(Q_2)=\dfrac{28+36}{2}=32}[/tex]
First Quartile (Q₁)The first quartile is the median of the lower half of the data.
In this case, we have 4 data points in the lower half (18, 24, 28, 28), so the median is the average of the two middle values:
[tex]\boxed{\sf First \;Quartile\;(Q_1)=\dfrac{24+28}{2}=26}[/tex]
Third Quartile (Q₁)The third quartile is the median of the upper half of the data.
In this case, we have 4 data points in the upper half (36, 44, 50, 67), so the median is the average of the two middle values:
[tex]\boxed{\sf Third\;Quartile\;(Q_3)=\dfrac{44+50}{2}=47}[/tex]
Maximum valueThe maximum value is the largest value in the data set.
[tex]\boxed{\sf Maximum\; value = 67}[/tex]
Therefore, the five-number summary for the given data set is:
Min = 18Q₁ = 26Median = 32Q₃ = 47Max = 67To construct the box and whisker graph (attached):
Draw a box from the lower quartile (26) to the upper quartile (47).Add the median (32) as a vertical line through the box.The whiskers are horizontal lines from each quartile to the minimum (18) and maximum values (67).The events are mutually exclusive because a bottle cannot be both lemon-lime and orange-flavored simultaneously , the scenario involves mutually exclusive events.
The five-number summary is as follows:
Minimum: 18
Q1: 26
Median: 36
Q3: 47
Maximum: 67
The scenario states that there are 12 bottles of sports drinks in a cooler: 4 lemon-lime flavored, 3 orange-flavored, and 5 fruit-punch flavored. You grab a bottle, and it is either lemon-lime or orange flavored. To determine if this scenario involves mutually exclusive events, we need to assess whether the two events (grabbing a lemon-lime flavored bottle and grabbing an orange-flavored bottle) can occur at the same time or not.
In this case, the events are mutually exclusive because a bottle cannot be both lemon-lime and orange-flavored simultaneously. Therefore, the scenario involves mutually exclusive events.
To find the five-number summary (minimum, first quartile, median, third quartile, and maximum) for the given data and draw a box and whisker plot, we need to arrange the data in ascending order first:
18, 24, 28, 28, 36, 44, 50, 67
Arranging the data in ascending order: 18, 24, 28, 28, 36, 44, 50, 67
The minimum value is 18.
The first quartile (Q1) is the median of the lower half of the data: (24 + 28) / 2 = 26.
The median is the middle value of the data set: 36.
The third quartile (Q3) is the median of the upper half of the data: (44 + 50) / 2 = 47.
The maximum value is 67.
The five-number summary is as follows:
Minimum: 18
Q1: 26
Median: 36
Q3: 47
Maximum: 67
To draw a box and whisker plot, you can use the five-number summary to create a visual representation of the data distribution. However, since I can't draw graphs here, you can create a box and whisker plot yourself. Draw a number line and place a box that spans from Q1 to Q3, with a line inside representing the median. Add "whiskers" extending from the box to the minimum and maximum values.
For such more questions on Five-Number Summary and Mutually Exclusive Events
https://brainly.com/question/14264873
#SPJ8
the equation p=52+0.04w models relation between the amount of water bill payment p in dollars and the number of units of water w in slope of equation
The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.
Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.
This means that the slope represents the incremental cost of each additional unit of water.
In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.
This indicates a constant rate of increase in the water bill for each additional unit of water used.
It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.
Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.
For more questions on slope
https://brainly.com/question/16949303
#SPJ8
The probable question may be:
What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?
A cone has the same radius and height as a cylinder which has greater volume the cone or the cylinder
Answer:
The cylinder has the great volume
Step-by-step explanation:
The volume of a cone = (h/3)πr²
The volume of a cylinder = hπr²
The only difference is that h is divided by 3 for the volume of a cone, making the total volume of a cone smaller than the volume of a cylinder with the same radius and height.
A drink is made by adding water to juice.
Rana has 120ml of juice.
She adds some water.
She has now made 450ml of the drink.
Has Rana followed the instructions?
Answer:yes
Step-by-step explanation:
As the Amount is unknown Hence X = Any amount Unless the water amount is given the instructions is yes as she added 120ML Of juice into water which is currently X
Box A contained 40 paperclips. Box B contained 23 paperclips. After Sally took an equal number of paperclips from each box, Box A then contained twice as many paperclips as Box B. How many paperclips did Sally take from each box?
Answer:
Step-by-step explanation:
Number of clips in box A = 40
Number of clips in box B = 23
If Sally took out 6 clips from each box
Remaining clips in box A = 40 - 6 = 34 which is twice of 17
Remaining clips in box B = 23 - 6 = 17
Answer:
Sally took 6 paperclips from each box
Step-by-step explanation:
Paper clips in Box A = 40
Paper clips in Box B = 23
Let the equal number paperclips removed from each box = x
Number of clips in box A after taking 'x' clips = 40 -x
Number of clips in box B after taking 'x' clips = 23 -x
40 - x = 2*(23 -x)
40 - x = 2*23 - 2*x
40 -x = 46 - 2x {Add 2x to both sides}
40 - x + 2x = 46 {Combine like terms}
40 + x = 46 {Subtract 40 form both sides }
x = 46 - 40
x = 6
Sally took 6 paperclips from each box
What is the area of this figure? I give brainliest :)
Answer:
[tex] 217 \: {mi}^{2} [/tex]
Step-by-step explanation:
Area of the figure
[tex]= 13*7 + 21 * 6 \\ = 91 +12 6 \\ = 217 \: {mi}^{2} [/tex]
Someone please help! I dont understand
Answer:
i willl help on all three if u help on my chemistry problems
Can someone help me with this?
9514 1404 393
Answer:
π/4, 7π/4
Step-by-step explanation:
Adding √2 and dividing by 2 makes the equation ...
cos(θ) = (√2)/2
The first-quadrant solution is ...
θ = arccos((√2)/2) = π/4
The angle in the 4th quadrant with the same reference angle will have the same cosine value.
θ = 2π -π/4 = 7π/4
The two solutions are θ = π/4, 7π/4.
The ratio of the length to breadth
of a room is 7:5. Find the length
of the room if the breadth is
10m
Answer:
14m
Explanation:
10 ÷ 5 = 2
2 × 7 = 14
Angles relationships
2x = 74
x = 74 ÷ 2
x = 37
that's all
Answer:
x = 37
Step-by-step explanation:
x2 = 74
74 ÷ 2 = 37
therefore the answer is x = 37
According to a recent study, the mean number of hours college students spent playing video games per month was 22 hours with a population standard deviation of 2 hours. Two weeks before final exams were scheduled to begin, 100 college students were randomly selected. What is the probability that the mean number of hours spent playing video games is less than 21.8 hours
Answer:
0.15866
Step-by-step explanation:
Given that:
Mean, m = 22
Standard deviation, s = 2
Sample size, n = 100
P(x < 21.8):
Obtain the Zscore ;
Z = (x - m) ÷s/sqrt(n)
Z = (21.8 - 22) ÷ 2/sqrt(100)
Z = - 0. 2 ÷ 0.2
Z = - 1
P(Z < - 1)
From Z probability calculator :
P(Z < - 1) = 0.15866
Hence, Probability of obtaining a score less than. 21.8 is 0.15866
Answer:
ux=22
sdx=0.2
p(x<21.8)=0.159
just took the test
Step-by-step explanation:
What is the discriminant of 3 x squared minus 10 x = negative 2?
76
94
106
124
Answer:
76
Step-by-step explanation:
The discriminant is [tex]b^{2} - 4ac[/tex] part of the quadratic formula.
a term is 3
b term is -10
c term is 2 (add it to the side of the 3 x squared minus 10 x)
Plug the values in!
(-10)^squared - 4(3)(2)
100-24 = 76
Answer:
76
Step-by-step explanation:
on edge
Where do I put the parentheses in 15-3x4+9=12
Answer:
That depends on which operations you want to do first. The order of operations affect to outcome of the equation.
In this case:
15 - (3 x 4) + 9 = 12
Answer:
It varies but this is one example
15 - (3 x 4) + 9 = 12
plz mark as brainliest
Andrew has $550 in a savings account that earns 5 % annually. How much will he earn in interest in 4 years?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
$110
Step-by-step explanation:
formula= P×T×R ÷ 100
550×4×5÷100
55×4×5÷10
1100÷10
$110
please help me with this :D
Answer:
b=24
Step-by-step explanation:
the sides are equal to each other so
b+24=2b
24+24=2 times 24
48=48
so b=24
A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position of the Ferris wheel is level with the loading platform. The wheel completes one revolution in 8 minutes. The function, h(t), gives your height in meters above the ground t minutes after the wheel beings to turn. How high are you off the ground after 6 minutes
Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
What is y if x=6 eqaution=y=4x+5
Someone actually help me w this ☝
Answer
Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.
New coordinates: G(3,4) T(1,4) B(3, 20)
Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Sort the information from the problem. What do we know? What do we need to figure out?
Answer:
203 more minutes
We know she swam 154 min in first week.
And in two weeks she swam 357 minutes.
We need to figure out x (total of minutes swam in week two)
So do 357=x+154
Subtract 154 from both sides
x=203
Hope this helps
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Step-by-step explanation:
Answer:
the size of the matrix 2x3
Step-by-step explanation:
just remember that rows are horizontal and columns are vertical hope this helps you out
Witch is larger? 1/3 or 3/9
Answer:
they are equal
Step-by-step explanation:
1/3 to a decimal is 0.333
3/9 is 0.333
so they are the same the person above me is wrong
The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
18.85
Step-by-step explanation:
adwadad
Does (1, 10) make the inequality y > 2x + 7 true?
yes
no
Answer:
Yes.
10 > 9
Step-by-step explanation:
This inequality is true because 10 is greater than 9.
y > 2x + 7
10 > 2(1) + 7
10 > 2 +7
10 > 9
Hi! I’ve already gotten this far, and found the value of x, but how would I go about finding the value of y from here?
Answer:
y=1 and x = 2
Step-by-step explanation:
Given equations are :
2x-2y = 2 ....(1)
5x+2y= 12 .....(2)
Adding equation (1) and (2),
2x+5x = 2+12
7x = 14
x = 2
Put the value of x in equation (!).
2(2)-2y = 2
4-2y=2
2=2y
y=1
So, the values of x and y are 2 and 1 respectively.
¡4 = -1
O True
False
Answer:
Apparently that's false because 4 does not equal -1, 4 is totally 10 times greater than -1
Hopefully that helps
Step-by-step explanation:
Find in the missing values to make the equations true.
Answer: 21
12
Log8(8 is under the log) the answer is 7
Step-by-step explanation:
PLEASE HELPPPPPP ASAPPP
I WILL GIVE BRAINLEST FOR THE CORRECT ANSWER
Answer:
a. Find the multiples of 4 and 12 in the 30 to 40 range:
4 ⇒ 32, 36, 40
12 ⇒ 36
Answer = 36
b. Divisors of 24 ⇒ 2, 3, 4, 6, 8, 12, 24
Answer = 3
3 is the only odd divisor.
c. Gcd = Greatest common divisor that isn't zero.
35 divisors ⇒ 1, 5, 7, 35
42 divisors ⇒ 1, 2, 3, 6, 7, 14, 21, 42
Answer = 7
d. 98 divisors ⇒ 1,2,7,14,49,98
99 divisors ⇒ 1,3,9,11,33,99
Answer = 1
e. Answer = 25.
A number's greatest divisor is its own self.