Answer:
<9=36°
<10=90°
<11=54°
Step-by-step explanation:
All the triangles on the rhombus are the same.Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
The list shows 8 of Takisha's math quiz scores. 70, 81, 82, 82, 82, 89, 94, 100 What is the mean absolute deviation of her quiz scores? A 85 B 29 C 56 D 7
we get that the mean is:
\(\mu=\frac{70+81+82+82+82+89+94+100}{8}=85\)so the answer is 85
Describe how to solve 3-7n=27
Answer:
n = -24/7
Step-by-step explanation:
3 -7n = 27
-7n = 24 Subtract 3 from both sides
n = -24/7 Divided by -7 both sides
So, the answer is n = -24/7
Answer:
Below
Step-by-step explanation:
Subtract 3 from both sides of the equation THEN divide both sides of the equation by - 7
Which equation represents the relationship between x and y?
X
y
1
4
2
5
3
6
4
7
y = x + 1
y = x-3
y = x + 3
y = 3x + 1
Answer:
between x and y they represents y=3x+1
Chaleah deposited $900 in a new account that earns 6% simple interest. After 2 years, how much interest will she have earned?
Answer:
$108
Step-by-step explanation:
Use the equation i = prt (interest = principle*rate*time):
Principle: $900
Rate: 0.06 (6%)
Time: 2 years
Put it all in an equation:
i = 900*0.06*2
i = $108
4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...
No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.
Does the shape have > one pair of perpendicular sides?In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.
A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.
If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.
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Jessa claims that -50 is greater than -10. Do you agree with her answer? Why or Why
not? Justify your answer.
Answer: -50 is not greater than -10. -10 is further right on a number line making it greater than -50.
Step-by-step explanation:
A group of teenagers are asked about their favourite hobbies. The results are shown in the following table: Sports Playing video games Watching films Total
Male 9 2 3 14
Female 7 3 8 18
Total 16 5 11 32
Q6a. In fractions, what is the probability that a teenager selected at random is female and their favourite hobby is watching films? You can simplify this fraction if you wish.
Using the probability concept, it is found that there is a \(\frac{1}{4}\) probability that a teenager selected at random is female and their favorite hobby is watching films.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of 32 teenagers.Of those, 8 are female with a favorite hobby of watching films.Hence:
\(p = \frac{8}{32} = \frac{1}{4}\)
\(\frac{1}{4}\) probability that a teenager selected at random is female and their favorite hobby is watching films.
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Which of the following inequalities are correct?
Some of the numbers involved are shown on the number line below.
The correct inequalities in this problem are given as follows:
A. 7.5 > 5.7.
B. 5.7 > -7.5.
C. -7.5 < -5.7.
What are the inequalities symbols?The four inequalities symbols are given as follows:
>: greater than.>= : greater than or equal.<: less than.<: less than or equal.In item a, the numbers 7.5 and 5.7 are compared, and in fact, 7.5 is greater than 5.7, hence the inequality is correct.
In item b, the numbers -7.5 and 5.7 are compared, and in fact, 5.7 is greater than -7.5, hence the inequality is correct. This is because a positive number is always greater than a negative numbers, as it is always positioned to the right on the number line.
For negative numbers, the lower absolute values mean that the number is greater, hence -7.5 is less than -5.7, that is, -5.7 is greater than -7.5, meaning that statement C is also correct.
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helppppPPPppppPPppppppPppppPPpppPPPPpppPPPpppPppppPPPpPPPpppp please help do not look this up thank you
Answer:
Part A:
The probability of hitting the black circle is the ratio between the area of the black circle and the white square (including the black circle)
Area of circle:
Ac = pi x r^2 = pi x (2/2)^2 = pi (diameter = 2)
Area of square:
As = side^2 = 11^2 = 121 (side = 11)
=> P = pi/121 = ~0.025 (P = 0.025 < 0.5 => P is closer to 0 than 1)
Part B:
The probability of hitting the white portion could be calculated in a similar way as shown in part A. However, the event of hitting the white portion is the complement event of the event of hitting the black circle.
Because P(event) + P(complement of event) = 1
=> P = 1 - 0.025 = 0. 975 (P = 0.975 > 0.5 => P is closer to 1 than 0)
on : to show More... Then click on √x to enter your answers using the Math Equation editor. Question 5 A frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. It is determined that the height of the frog as a function of time can by modeled by h (t) = − 16t² +64t + 3. What is the height of the stump? O 3 ft -3 ft O 16 ft O 64 ft ◄ Previous 1 pts M Next ▸
The height of the stump is 3 ft.
The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.
In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:
h(0) = -16(0)² + 64(0) + 3
Since any term multiplied by zero is zero, we can simplify further:
h(0) = 0 + 0 + 3
Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.
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mark the points on the graph !!! please help
Answer:
Go to an online grapher called desmos . com where you can graph and get the answer! The website is used in khan academy
Step-by-step explanation:
what would be the answer too 900ft2+ 144ft2???
Answer: 1044ft
Step-by-step explanation:
900ft2 + 144ft2
= 1044ft2 (square root)
1044ft
hope this helps :))
gordan types 3,724 words in 49 minutes.Find the unit rate
Answer:
76 words per minute
Step-by-step explanation:
3724/49 =76
Answer:
Unit rate = 76
Step-by-step explanation
49 min = 3724 words
1 min = ?
3724/49 = 76
1 min = 76 words
Therefore, the unit rate is 76.
Hope this helps :)
Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................
Answer and Explanation:
Solution: For the general term of each infinite series,
n=1 and the series are:
4/12+1+1/22+1+4/32+1+1/42+1+……..
Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………
Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..
For n=1.
A study was done to determine the proportion of voters that feel that their local government is doing an adequate job. Of the 220 voters surveyed, 175 feel that their local government is doing an adequate job. Calculate the 95% confidence interval for the true proportion of voters that feel that their government is doing an adequate job.
Answer:
( 0.742, 0.849 )
Step-by-step explanation:
sample size = 220
number of voters with positive response ( i.e. number of voters who believe the government is doing right ) = 175
Calculate the 95% confidence interval
P = 175 / 220 = 0.796
the 95% confidence interval = ( 0.796 ± 0.054 )
attached below is the detailed solution
1.3.1 1.3.2 1.3.3 1.3.4 Government receives income from various sources, like tax and loans. This income is then distributed to the different sectors. TABLE 3 below shows the source of the income and the expenditure for the 2019/20 tax year. SOURCE Tax INCOME Loans ASC QP Other income Non-tax income AMOUNT (in billion rand) 1370 242.7 180.3 31.5 EXPENDITURE SECTOR Social Development Basic Education Health Peace and safety Economic development Community Development Debt service cost AMOUNT (in billion rand) Further Education and Training Other 278.4 262.4 222.6 211.0 209.2 208.5 202.2 APRIL 2021 112.7 B 1823.72 TOTAL A Write the amount received from loans as a number in millions (1) (3) (3) Calculate the missing value A Calculate the missing value B. Show ALL calculations. Determine the amount allocated for Community Development as a percentage of the total expenditure. (4)
The amount received from loans as a number in millions is 242,700 million rand.
How to calculate the valueDeducing value A requires computation of collective income sources, for which the following summation suffices:
Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A
In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.
Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:
Total Income - Total Expenditure = B
(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B
Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.
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The population of a city in Texas is about 1,030,000. The population of the city in t years can be predicted using the equation P = 1,030,000(1.12)t. According to this equation, what will the approximate population of the city be in 9 years? 10,382,400
Answer:
2,856,271
Step-by-step explanation:
We presume your equation is intended to be ...
P = 1,030,000(1.12)^t
To find the prediction in 9 years, put 9 where t is and do the arithmetic.
P = 1030000(1.12^9) ≈ 2,856,271
In 9 years, the population is predicted to be about 2,856,271.
Answer:
To predict the population in nine years, substitute 9 for t in the equation and simplify:
P = 1,030,000(1.12)9
= 1,030,000 ∙ 2.77
= 2,853,100.
Step-by-step explanation:
A group of 15 athletes participated in a golf competition. Their scores are below:
Score (points) 1 2 3 4 5
Number of Athletes 1 2 3 4 5
Would a line plot or a histogram best represent the data presented here? Why?
Histogram, because a large number of scores are reported as ranges
Histogram, because a small number of scores are reported individually
Line plot, because a large number of scores are reported as ranges
Line plot, because a small number of scores are reported individually
The solution is Option D.
Line plot , because a small number of scores are reported individually
What is a line plot?
A line plot is a graph that shows data as points or check marks above a number line, indicating the frequency of each value.
If we need to compare two different groups , a line chart does have one advantage for visualizing frequency distributions
Given data ,
Total number of athletes = 15
The score points of athletes = { 1 , 2 , 3 , 4 , 5 }
The number of athletes = { 1 , 2 , 3 , 4 , 5 }
The best option to plot the line plot because of the data set
The line plot , a data visualization chart that more accurately represents the small data set, is chosen.
And , to begin, unlike a line plot , a histogram involves data ranges or intervals. A line plot uses a dot to represent each observation, whereas a histogram divides the data into intervals, masking the identity of each observation
Furthermore, because line plots are one of the simplest statistical plots, they are better suited to small to moderate-sized data sets. They are more effective than histograms at highlighting clusters and gaps
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Answer:D
Step-by-step explanation:
The perimeter of a rectangular painting is 304 centimeters. If the length of the painting is 85 centimeters, what is its width?
Answer:
3.58
Step-by-step explanation:
You have to divide 304 by 85
you will get 3.57647058824
You have to round it to the nearest hundedth which will leave you with 3.57
If f(x) = x – 2 and g(x) = –2x + 7, what value of x makes f(x) = g(x)?
Answer: The value of 3 for x will make f(x)=g(x)
Step-by-step explanation:
Make them equal each other and solve for x.
x-2= -2x +7 Add 2x to both sides
+2x +2x
3x - 2= 7
+2 +2
3x = 9
x = 3
Check.
F(3) = 3-2
f(3) = 1
g(3) = -2(3) + 7
g(3) = -6+ 7
g(3) = 1
The average amount of weight loss, in pounds, by 20 participants in a six-month weight-reduction program is 18.6 pounds. The median weight loss for these participants is 20.9 pounds. Using the empirical relationship among mean, median, and mode, estimate the mode and comment on the skewness of the distribution.
The estimated mode of the distribution is 20.9 pounds. This indicates that the distribution is slightly skewed to the right, with more participants losing more than the average amount of weight.
593,204 rounded to the nearest million
The answer is 1,000,000
A hemisphere has a
surface area of 768
square feet. Find
the diameter of the
hemisphere.
The diameter of the hemisphere is 39.1918 feet.
The surface area of a hemisphere is given by the formula:
Surface Area = 2πr²
We have,
surface area of the hemisphere is 768π square feet,
So, 2πr² = 768π
Dividing both sides of the equation by 2π, we get:
r² = 384
To find the diameter, we need to double the radius.
Taking the square root of both sides of the equation, we get:
r = √384
r ≈ 19.5959
Now, Diameter ≈ 2 x 19.5959 ≈ 39.1918
Therefore, the diameter of the hemisphere is 39.1918 feet.
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Use an integer to represent the following.A voltage drop of 21 volts.
A reduction or drop is usually represented by a negative sign alongside the quantity of the drop.
In this case, the quantity of the drop is 21.
Hence, the integer used to represent the situation is:
\(-21\)14 out of 49 as a percentage
Answer:
28.57%
Step-by-step explanation:
smby help meeeee plzzzz .!
Answer:
117 yards
Step-by-step explanation:
Pythag Theorem
100^2+60^2=C^2
13600=C^2
116.619038=C
Rounded up to 117 yards
The fastest time for completing an obstacle course is 218 seconds. Artest completed the first half of the course in 95 seconds. It took him 124 seconds to finish the second half. a. What is Artest's total time? b. How does his time compare to the fastest time?
Answer:
219 Seconds ; He was 1 second faster
Step-by-step explanation:
Two halfs equal one whole, meaning both of the times added will equal the full time he took:
95+124=219
219 Seconds
He was 1 second faster because:
219-218=1
Inso ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, how many gallons of ice cream can 4
machines make?
The gallons of ice cream 4 machines can make is 650 gallons.
How to find the number of gallons of ice cream 4 machine can make?Two ice cream machines make a total of 320 gallons in a certain amount of time.
Working together for the same length of time, the number of gallons of ice creams 4 machine can make can be calculated as follows:
Therefore,
If 2 ice cream machine = 320 gallons
4 ice cream machine = ?
cross multiply
Hence,
gallons of ice cream made by 4 machines = 320 × 4 / 2
gallons of ice cream made by 4 machines = 1280 / 2\
Therefore,
gallons of ice cream made by 4 machines = 640 gallons
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What is the equivalent to the product below when x>_0?
√5x² •√15x²