Due to the shortest studen has a height of 155cm and the tallest one has a height of 190cm. You consider these numbers as the limits of the interval for the height of the students of the ninth grade.
if x is the height of the students, it is necessary that x is lower or equal than 190cm, moreover, it is necessary that x is equal or greater than 155cm.
The previous situation can be written as the following inequalities:
x < 190
x > 155
however, the previous inequalities can be written as one double inequality:
155 < x < 190
Hatif has $150 in his account. He saves $80 each month. How long will it take before he has $630 in his account?
Answer:
6 months
Step-by-step explanation:
We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.
Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.
The equation representing the situation is:
$150 + $80n = $630
Now, let's solve for "n":
$80n = $630 - $150
$80n = $480
n = $480 / $80
n = 6
Therefore, it will take Hatif 6 months to reach $630 in his account.
Solve for x
Solve for x give that the segments ST and SU are both
tangent to the circle.
T
7X-3
Submit
5x+1
U
Answer:
2
Step-by-step explanation:
ST and SU are tangents to the \( \odot L\) from the point S to the points T and U respectively. Measures of the tangents drawn from external point to a circle are equal. \( \therefore ST = SU\) \( \therefore 7x - 3= 5x+1\) \( \therefore 7x - 5x=3+1\) \( \therefore 2x=4\) \( \therefore x=\frac{4}{2}\) \( \therefore x={2}\)Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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1. Triangle inequality theorem.
3. The missing lengths and angles are:
<B = 27.07, <C = 98 and c = 32.64.
1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.
3. We have,
a = 27, b = 15, and A = 55°,
Using the Law of Sines,
sin A/ a = sin B/ b
sin 55 /27 = sin B / 15
0.81915204428 / 27 = sin B /15
0.4550844690444 = sin B
<B = 27.07
Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98
Now, Using the Law of Sines
sin A/ a = sin C/ C
0.81915204428 / 27 = sin 98 / c
0.030338964602963 = 0.99026807 /c
c = 32.64
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M +2m + 3 for m = 12
What’s thatta
Answer:
39
Step-by-step explanation:
12+2×12+3
12+24+3
36+3
39
PEMDAS
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
In a town where 1/4 of the days are sunny and 3/4 are cloudy, the next six days are all sunny.
The probability of the combined event that the next six days are all sunny is 1/4096
How to determine the probability all days being sunny?From the question, we have the following parameters that can be used in our computation:
Probability that it is sunny = 1/4
Probability that it is cloudy = 3/4
Number of days = 6
The probability for all six days, it is sunny is represented as
Probability = Probability that it is sunny^Number of days
Substitute the known values in the above equation, so, we have the following representation
Probability = (1/4)⁶
Express as decimal
Probability = (0.25)⁶
Evaluate the exponent
Probability = 1/4096
Hence, the probability is 1/4096
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The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards
The height of the cylinder whose surface area is given would be = 85 yards.
How to calculate the height of a cylinder?The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.
To calculate the height of a cylinder, the formula that should be used is given as follows:
Surface area of cylinder = 2πrh + 2πr²
radius = 29 yards
surface area = 20,761.68 square yards
height = ?
That is ;
20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29
20,761.68 =182.12h + 5281.48
182.12h = 20,761.68-5281.48
182.12h = 15480.2
h = 15480.2/182.12
= 85 yards
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Solve the system of linear equations by substitution.
6x – 9=y
y=-3.7
Answer:
x=0.88
y= -3.7
Step-by-step explanation:
-3.7=6x-9
5.3=6x
0.88=x
Allison wants to know how many games teenagers at her school have on their phones. Which answer choice gives an example of a random sample Allsion could use to help answer her question?
A Ask all the 30 female teenagers and 30 male teenagers at the grocery store if they have phones.
B Ask the first 100 people at the library on Saturday morning how many games they have on their phones.
C Ask 10 people from each grade level at Allison's school how many games they have on their phones.
D Ask 5 teenagers from 20 different countries how many games they have on their phones.
The answer choice which gives the best-example of the "random-sample" is (c) Ask 10 people from each "grade-level" at Allison's school about how many games they have on their phones.
A "Random-Sample" is a subset of a larger population which is chosen in such a way that each member of the population has an equal chance of being selected.
The Option (c) : gives the best example of a random sample that Allison could use to help answer her question. By asking 10 people from each grade level at her school, Allison can obtain a sample that includes a variety of ages, genders, and backgrounds.
This can help to ensure that the sample is representative of the population she is interested in studying.
Option (a) : is not a random sample because it only includes teenagers who happen to be at the grocery store at the time Allison is conducting her survey. This may not represent entire population of teenagers at her school.
Option (b) : is not a random sample either because it only includes people who happen to be at the library on Saturday morning. This may not be representative of the entire population of teenagers at her school.
Option (d) : is not a random sample because it only includes teenagers from 20 different countries. This may not be representative of the population of teenagers at Allison's school or in her local area.
Therefore, the correct option is (c).
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simplify the given expression 7+ 8a/5b
Answer:
= \(\frac{35b + 8a}{5b}\)
Step-by-step explanation:
Convert element to fraction:
= 7*5b/5b + 8a/5b
Combine the fractions (Equal denominators):
= 7*5b+8a/5b
Multiply the numbers (7*5):
= 35b + 8a / 5b
find the area of the shape shown below units 2
Answer:
81
Step-by-step explanation:
go hgv thx bgg TV vvt g h.c g ccx d
What is Five less than twice a number
2w - 5
or 5 - 2w
2w - 5
This is the right expression
Kira unravels a shirt to get blue thread. From each centimeter (cm) of the shirt, Kira gets 231 cm of thread. She unravels 7cm of the shirt.
How much thread does Kira get ?
Answer:
1617 cm of thread.
Step-by-step explanation:
We are told that the equivalence would be that for each cm of shirt Kira gets 231 cm of thread, therefore it would be:
231 cm thread / 1 cm shirt
they tell us that she managed to remove 7 cm of shirt, therefore:
7 cm shirt * 231 cm thread / 1 cm shirt = 1617 cm thread
Therefore Kira obtained 1617 cm of thread.
Answer:
Kira gets 1,617
Step-by-step explanation:
In Khan word problems 4 grade divsion TRUST ME I GOT IT RIGHT!! THANK U
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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Change 7.5m into mm.
What’s the answer to this?
Find cos ø.
(Give your answer in lowest terms)
The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.
To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.
The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.
First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:
r = √(8² + 6²) = √(64 + 36) = √100 = 10
Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:
cos ø = 8 / 10 = 4/5.
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Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2
The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm
To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.
The formula for a confidence interval for the population mean (μ) is:
Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))
For the first situation:
n = 15
Confidence level is 95% (which corresponds to an alpha level of 0.05)
x = 35 (sample mean)
s = 2.7 (sample standard deviation)
Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.
The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.
Plugging the values into the formula:
Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))
Calculating the confidence interval:
Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)
Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.
For the second situation:
n = 37
Confidence level is 99% (which corresponds to an alpha level of 0.01)
x = 82 (sample mean)
s = 5.9 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.
The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.
Plugging the values into the formula:
Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))
Calculating the confidence interval:
Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)
Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.
For the third situation:
n = 1009
Confidence level is 90% (which corresponds to an alpha level of 0.10)
x = 0.9 (sample mean)
s = 0.04 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.
The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.
Plugging the values into the formula:
Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))
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What is the intermediate step in the form (x + a)2 = b as a result of completing thesquare for the following equation?6x2 +962 - 13 = -132.Submit Answerattempt 1 out of 2
First step is to separate the terms with variables from the constant terms.
Add 13 to both sides of the equation :
\(\begin{gathered} 6x^2+96x-13=-13 \\ 6x^2+96x-\cancel{13}+\cancel{13}=-13+13 \\ 6x^2+96x=0 \end{gathered}\)Divide both sides by 6 :
\(\begin{gathered} 6x^2+96x=0 \\ x^2+16x=0 \end{gathered}\)Next step, completing the square by adding this term to both sides of the equation :
\((\frac{b}{2a})^2\)From the equation,
a = 1
b = 16
So it follows that :
\((\frac{b}{2a})^2=(\frac{16}{2\times1})^2=(8)^2\)Adding this to both sides of the equation :
\(\begin{gathered} x^2+16x=0 \\ x^2+16x+8^2=8^2 \end{gathered}\)And you will get a perfect square trinomial on the left side of the equation in the form :
\(x^2+bx+c^2\)It can be factored as :
\(x^2+bx+c^2=(x+c)^2\)So the equation will be :
\(\begin{gathered} x^2+16x+8^2=8^2 \\ (x+8)^2=8^2 \\ (x+8)^2=64 \end{gathered}\)The answer is :
\((x+8)^2=64\)what is the meaning of sequence in mathematic and
Answer:
A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.
Step-by-step explanation:
How is the president able to limit, or ckeck, the power of the legislative branch?
Answer: The president is able to check the power of the legislative branch through the use of the presidential veto.
Step-by-step explanation: i hope this helps brainliest please <3 :)
A packaging firm has been hired to create a box for baby blocks. The firm was hired because it could save money by creating a box using the least amount of material. the packaging firm knows that the volume of the box must be 18cm3. What are the possible dimensions for the box if the volume must be18 cm3? Which set of dimensions should the package firm choose in order to use the least amount of material? Explain Please show work
Answer:
The dimensions are either (3,3,2)cm
Or
(9,2,1)cm
Step-by-step explanation:
First we have to put into consideration that the volume must be 18cm³
Nothing greater than that, nothing less than that.
Not even with decimal.
So let's give the possible values combination to give us volume as 18.
We have
Length= 9cm
Width= 2cm
Height= 1cm
Volume = 9*2*1= 18cm³
The above can be arranged 3! = 6 ways though.
It's just the combination that is important.
Second is
Length= 3cm
Width= 3cm
Height= 2cm
Volume= 18cm³
The above can be arranged 3! = 6 ways though.
It's just the combination that is important.
Look at the rectangle in the picture. What are the coordinates?
Answer choices are:
A. (-3,-4), (-6,2), (4,2), (3,-4)
B. (-8,-4), (-8,2), (6,2), (6,-4)
C. (-7,-4), (-7,2), (4,2), (4,-4)
D. (-4,-8), (2,-8), (6,2), (6,-4)
Keep in mind I will also mark brainliest to the right answer
Answer:
B. A(-8, -4), B(-8, 2), C(6,2), D(6, -4)
Step-by-step explanation:
General coordinates notation is P(x, y)
• Point A
It is 4 units downwards the y-axis and 8 units westwards of the x-axis
• Point B
It is 2 units upwards the y-axis and 8 units westwards of the x-axis
• Point C
It is 2 units downwards the y-axis and 6 units eastwards of the x-axis
• Point D
It is 4 units downwards the y-axis and 6 units eastwards of the x-axis
\(.\)
A letter is chosen at random from the word MATHEMATICS. Find the probability that it will be
a) an H
b) an M
c) a B
d) a vowel,
e) a letter other than an A
Answer:
a) 1/11
b) 2/11
c) 0/11
d) 4/11
e) 9/11
Step-by-step explanation:
'MATHEMATICS' has 11 letters.
a) there is only one H out of the 11 letters meaning the probability is 1/11
b) there are two M s out of the 11 letters meaning the probability is 2/11
c) there is no B in the word meaning the probability is 0/11
d) there are four vowels (2 A s, 1 E and 1 I) out of the 11 letters meaning the probability is 4/11
e) there two A s in the word and 11-2=9 meaning the probability is 9/11
Hope this helps :)
What are the coordinates of point B on AC such that AB is 3/4 of AC
Answer:
(1.75,0)
Step-by-step explanation:
PLEASE HURRY 100P I REALLY NEED THIS!!!!!
The range of the data is 30, and the interquartile range (IQR) is 15.
To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.
From the given data, we can determine the five-number summary as follows:
Minimum: 60
Q1: 70
Median (Q2): 80
Q3: 85
Maximum: 90
Now, let's create a box plot using this information:
```
| | | | |
60 |––––––––|––––––––| |
| | | | |
70 |––––––––|––––––––|––––––––|––––––––|
| | | | |
80 |––––––––|––––––––|––––––––|––––––––|
| | | | |
90 |––––––––|––––––––| |
| | | | |
------------------------------------
60 70 80 90
```
In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.
The range can be calculated as the difference between the maximum and minimum values:
Range = Maximum - Minimum = 90 - 60 = 30
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):
IQR = Q3 - Q1 = 85 - 70 = 15
Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.
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Information
500 customers contacted a company today.
Phone
250 Customers
Webchat
4x Social Media
Email
III)
50% of Phone
Social Media
Question
Adjust the pie chart to represent the source of customer contacts.
G
Pie graphs can be used to display percentages of an entire group and depict percentages at a certain moment. Customers contacted via the web = x(let) then.as a result, customers contacted online (chart = x = 100), 25 customers were reached by social media, or x/4
What purpose does a pie chart serve?Pie charts can be used to show percentages for the whole group or for a specific time period.
In contrast to bar and line graphs, pie charts do not show changes over time.
The following pages provide descriptions of the various pie chart elements.
Since the slices of a pie chart represent different parts of the whole, their sum must always equal 100%.
Number of customers overall = 250 clients were contacted via email for every 500 customers contacted via phone, or 50% of phone contacts.
=(50÷100)×250
=125
Customers reached via social media
= total customers + 250 + 125 + x+1 = 500 x+1
=125 × 5
T=125
x=100.
Customers contacted via the web = x(let) then.
as a result, customers contacted online (chart = x = 100)
25 customers were reached by social media, or x/4
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What is it called when we add a zero as a place holder?
Answer:
It says Zero placeholder
Step-by-step explanation:
I hope it works
4 | -7 - 2 |
helppppppppppppppp
Answer:
Step-by-step explanation:
4(-7-2)
= 36
What is the circumference of the circle if the radius is 10 cm?
The circumference of the circle is 62.8cm.
The Circumference of the circle is given by the formula,
Circumference = 2*\(\pi\)*r cm.........equation 1
Given, r = 10cm
On substituting the radius value in equation 1
Circumference = 2*\(\pi\)*10
Circumference = 62.8 cm
Therefore, the circumference of the circle is 62.8cm.
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Joseph bought a box of pens for $15.98. The price included a $1.25 donation to the local
food drive. Tina bought 3 boxes of the same type of pens, but did NOT donate to the
drive. How much did she pay for the pens?
(Lesson 1)
Answer:
$44.19
Step-by-step explanation:
15.98-1.25=14.73
14.73*3-44.19
Answer:
$44.19
Step-by-step explanation:
1 box if pen including donation= $15.98
1 box of pen without donation= $15.98-$1.25
=$14.73
3 box of pen without donation= $14.73×3
=$44.19
Tyler's brother earns $14 per hour. The store offers him a 5% increase in wages per hour. After the raise, how much will tyler's brother make per hour?
After the raise, Tyler's brother will make $14 x 1.05 = $14.70 per hour.
Answer:
14 x 1.05 = 14.70
Step-by-step explanation: