Answer:
area = 132 cm²
Step-by-step explanation:
area of rectangle = 7 x 12 = 84
area of one triangle = 8 x 6 x 0.5 = 24
total area = 84 + 24 + 24 = 132 cm²
Write a real-world problem involving perimeter that goes with the number sentence 2 x 18+ 2 x 15 = 66.
The real-world problem involving perimeter is that the perimeter of a rectangle of length 18 units and width 15 units is 66 units
How to determine the real-world problem
From the question, we have the following parameters that can be used in our computation:
2 x 18 + 2 x 15 = 66
The perimeter of a rectangle can be calculated using
Perimeter = 2 x Length + 2 x Width
Using the above as a guide, we have the following:
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Need help with question
Answer:
f(2) = 1
x = 0
Step-by-step explanation:
f(2) = 1 since y=1 when x=2.
f(0) = -3 since x=0 when y=-3
Use the scale drawing to determine how wide the duck pond is? A. 18 feet B. 27 feet C. 49.5 feet D. 55.5 feet
The width of the duck pond is,
⇒ 27 feet
We can see that the given diagram is a rectangle,
And we know that,
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Now, By given diagram we have;
We have to given that;
Use the scale drawing to determine how wide the duck pond is.
And there are 4.5 feet in 1 square,
Therefore,
1 square is equal to 4.5 feet
So, we get;
The width of the duck pond is,
⇒ 6 square
We know that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Then to find width of duck pond in feet,
Multiply 6 with 4.5
⇒ 6 × 4.5 feet
⇒ 27 feet
Thus, The width of the duck pond is,
⇒ 27 feet
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If pand q vary inversely and pis 28 when Q is 29. determine q when p is equal to 14.
9514 1404 393
Answer:
q = 58
Step-by-step explanation:
If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.
When p = (1/2)(28), q = (2)(29) = 59
q = 58
Taking attempt 2 of 2.
Question #1*
Find the measure of the indicated arc
67°
134°
The measure of the indicated arc angle is 134 degrees.
How to find the measure of arc angle?The angle subtended by the arc at the centre of the circle is the angle of the arc.
Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.
Hence, the central angle is also known as the arc's angular distance.
Therefore, the measure of an arc is the measure of its central angle.
Hence, the measure of the indicated arc is 134 degrees.
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Given: a || b
Find the missing angle measures in the diagram. Explain how you find each angle measure. (please explain how you got the answer)
The angle measure explained in the solution.
Given that, a || b, we need to find the missing angles,
∠1 = 42° [vertically opposite angles]
∠3 = 62° [vertically opposite angles]
∠2 = 180°-(∠1+62°) [angle in a straight line]
∠2 = 76°
∠4 = ∠2 [vertically opposite angle]
∠4 = 76°
∠4 = ∠9 = 76° [alternate angles]
∠9 = ∠12 = 76° [vertically opposite angle]
∠3 = ∠ 6 = 62° [alternate angles]
∠ 6 = ∠7 = 62° [vertically opposite angle]
∠3 + ∠5 = 180° [consecutive angles]
∠5 = 118°
∠5 = ∠8 = 118° [vertically opposite angle]
∠4 + ∠10 = 180° [consecutive angles]
∠10 = 104°
∠10 = ∠11 [vertically opposite angle]
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you are paid 6% commission on the first
$2,000 in sales. Then 8% on the next $3000.
Then 9% on sales over $5000. If you sold
$7,250 worth of goods what is your pay?
Answer:
$562.50
Step-by-step explanation:
6% of the first $2,000 is $120
8% of the next $3,000 is $240
9% of the rest of the $2,250 is $202.50
Add all of it together any you have $562.50
The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below.
Commute Time (min),x Well-Being Index score,y
5 69.2
15 68.4
30 67.5
35 67.3
60 66.3
84 66.1
105 64.6
(a) Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable.
(b) Interpret the slope and y-intercept, if appropriate.
(c) Predict the well-being index of a person whose commute is 35 minutes.
(d) Suppose Barbara has a 15-minute commute and scores 68.5 on the survey. Is Barbara more "well-off" than the typical individual who has a 15-minute commute?
(a) The least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable is y = 70.22 - 0.075x
(b) The slope and y-intercept, if appropriate is the slope of the regression line, -0.075, indicates that for every additional minute of commute time, the well-being index score decreases by an average of 0.075.
(c) The well-being index of a person whose commute is 35 minutes is the slope of the regression line, -0.075, indicates that for every additional minute of commute time, the well-being index score decreases by an average of 0.075.
(d) Yes, she is. Barbara more "well-off" than the typical individual who has a 15-minute commute.
Regression of Commute Times(a) To find the least-squares regression line, we need to find the slope and y-intercept of the line that minimizes the sum of the squared vertical distances between the actual data points and the predicted values on the line. Using a calculator or software, we get:
Slope: b = -0.075
y-intercept: a = 70.22
Therefore, the least-squares regression line is:
y = 70.22 - 0.075x
(b) The slope of the regression line, -0.075, indicates that for every additional minute of commute time, the well-being index score decreases by an average of 0.075. The y-intercept, 70.22, represents the predicted well-being index score for someone with a commute time of 0 minutes (which is not a meaningful value in this context).
(c) To predict the well-being index of a person with a commute time of 35 minutes, we can substitute x = 35 into the regression equation and solve for y:
y = 70.22 - 0.075(35) = 67.97
Therefore, the predicted well-being index score for someone with a commute time of 35 minutes is 67.97.
(d) To determine whether Barbara is more "well-off" than the typical individual with a 15-minute commute, we can compare her actual well-being index score of 68.5 to the predicted score based on the regression equation:
y = 70.22 - 0.075(15) = 68.47
Barbara's score of 68.5 is slightly higher than the predicted score of 68.47, which suggests that she is somewhat better off than the typical individual with a 15-minute commute. However, we should note that this comparison is based on a single data point and may not be representative of the larger population.
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Multiply: –5 × (–3) × 7
Answer:
the ans is 105...........
Answer:
105
Step-by-step explanation:
-5*-3=15
15*7=105
what is the answer too x^2 + 2x
Answer:
x=0 and x=−2
Step-by-step explanation:
Explanation:
You can factor x2+2x=0
as: x(x2)=0
Now, we can solve each term for 0:x=0 - no other work needed,
and
x+2=0
x+2−2=0−2
x+0−2x=−2
Light travels at a speed of 1.9 times 10^5 miles per second. How far in miles does light travel in 30 seconds?
Answer:
5,700,000 miles
Step-by-step explanation:
\((1.9*10^{5})*30\\ \\190,000*30\\\\=5,700,000\)
Marcus spent 3.25$ to wash his car. If one querter operates the car wash 60 seconds hiw long did it take him to wash his car.
10 min or 13 min. or 16 min ir 32.5 min
Answer:
answer=answer
Step-by-step explanation:
Y E S
I love simple math.
3.25$ to wash the car.
60 seconds: 1 quarter
how many quarters is 3.25?
4 quarters per dollar. so it'd be 13 quarters, then do 13*60=how many seconds u got. 780 seconds. I think you can do 780/60
HINT: hey, psst, it's 13 minutes. : D
HEY DOn'T teLL tHeM tHe ANSWER. :V
(SAT Prep) Find the value of x.
x 105 35
Angles in a triangle add up to 180 degrees
The value of x is 85 degrees
What is triangle?A triangle is a polygon which has three sides and three vertices. It is one of the normal shapes in geometry. A triangle with vertices A, B, and C has three sides & three angles A, B, C.
here, we have,
How to determine the value of x
The total sum of angles for a triangle is 180 degrees.
So, we have:
x + 35 + 60 = 180
Evaluate the sum
x + 95= 180
Subtract 95 from both sides
x = 85
Hence, the value of x is 85 degrees
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Full question: (SAT Prep) Find the value of x. 35° 60° X
x=?
solve the absolute value equation
2 = |x|-1
If you're looking for x, then:
2 = |x|-1
lxl-1 = 2
lxl-1+1=2+1
lxl=3
so x = -3, x=3
Rewrite the expression without the negative exponent.
2x^−4
The value of expression without the negative exponent is,
⇒ 2/x⁴
What is Rule of exponent?
The rule of exponent is defined as;
aⁿ = 1/a⁻ⁿ
Now, The expression is given as;
2x⁻⁴
It can be rewrite as;
2x⁻⁴ = 2 / x⁴
Hence, The value of expression without the negative exponent is,
⇒ 2/x⁴
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Identify the sets:
The integers are greater than -5 and less than 1.
Answer:
-4, -3, -2, -1, 0
Step-by-step explanation:
They are greater than -5 and less than 1
Answer:
(-4, -3, -2, -1)
Step-by-step explanation:
they are greater than -5 and less than 1
Please help me with 15 & 16. Step by Step!!!!
15. The length of a rectangle is four times its width. If its width is x^5 units, what is the area of the rectangle?
16. The width of a rectangular prism is six times its length. The height is five times its length. If its length is m units, what is the volume of the prism?
Answer:
15. 4x¹⁰
16. 30m³
Step-by-step explanation:
15. Area of Rectangle is given by A=LW
since W=x⁵ and L is 4 times W, L=4x⁵
therefore, A = x⁵(4x⁵) = 4x¹⁰
16. Volume of Rectangular Prism is V=LWH
W=6L=6m and H=5L=5m and L=m
so V = m(6m)(5m) = 30m³
What is the solution
9 • x = –63?
Which ratios form a proportion
Answer:
C
Step-by-step explanation:
To form a proportion, you need two equal ratios.
Divide the numerator by the denominator of all fractions.
Any two fractions that are equal are a proportion.
A.
4/9 = 0.4444...
9/4 = 2.25
Fractions are not equal. Not a proportion.
B.
4/10 = 0.4
10/25 = 0.4
Fractions are equal. Proportion
C.
4/11 = 0.363636...
6/13 = 0.46153846...
Fractions are not equal. Not a proportion.
D.
I can't read the fractions, but do the same I did above.
Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.
Negative values pertain to ounces under 16. Find the probability that a box of cereal will be: a.more than one ounce underweight. b. neither underweight a. nor more than 1 ounce overweight. tly 16 ounces. C. exactly 16 ounces
Probability is simply how likely something is to happen. There can be many probability of the same thing to occur in future. the probability that a box of cereal will be:
A. The probability that a box of cereal will be more than one ounce underweight is equivalent to the probability of getting a weight less than 15 ounces. Using a standard normal distribution table or calculator, we can find that this probability is approximately 0.0228 or 2.28%.
B. The probability that a box of cereal will not be underweight is equivalent to the probability of getting a weight greater than or equal to 16 ounces. Using a standard normal distribution table or calculator, we can find that this probability is approximately 0.5 or 50%.
C. The likelihood that a package of cereal will weigh less than or equal to 17 ounces is the same as the likelihood that it won't be more than 1 ounce overweight. This chance can be calculated using a typical normal distribution chart or calculator as 0.9772 or 97.72%.
D. Because weight is a continuous variable with an infinitesimally tiny chance of attaining any precise value, the likelihood of receiving exactly 16 ounces is very low. The area under the normal distribution curve between 15.5 and 16.5 ounces, or roughly 0.3829 or 38.29%, can be used to determine the chance.
Possibility or probability is all game of occurrence of the thing.
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When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?
Answer:
A) 6.66% B) It's a decrease
(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)
select which function has the greatest value at each of the given x-values.
N - 5 x4 pls hellpppo
Answer:
n-20 is your answer ☺️☺️☺️
Answer:
N-20 is the answer if your trying to simplify it, if not comment on this answer and ill try to help
Step-by-step explanation:
Please help me solve this
Step-by-step explanation:
a) f(1) = -1 → x = -1
b) g(1) = Undefined
c) f(x) = 1 → x= Undefined
d) g(x) = 1 → x= 5
The distance around one block in Ava's neighborhood is 3/4 mile. If Ava rides her bike around the block 5 times, how many miles does she ride?
Answer:
3.75 miles
Step-by-step explanation:
3/4 mile = 1 block
3/4 x 5/1 = 15/4
5 blocks = 3.75 miles
A garden is to designed with a rectangular part in the middle with two semi-circles on the ends.
The dimensions of the rectangular portion are 18.4 feet long and 8.6 feet wide.
a) What is the area of one semi-circle at one end?
b) What is the area of the garden?
c) Find the area in square metres.
Given statement solution is :- a) The area of one semi-circle at one end is 58.09 square feet.
b) The area of the garden is 274.42 square feet.
c) The area in square metres is approximately 58.09 square feet.
The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.
Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.
Now we can calculate the area of the semi-circle:
A = (π * 4.3²) / 2
A ≈ 58.09 square feet
b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.
Area of the rectangular portion = length * width
Area of the rectangular portion = 18.4 feet * 8.6 feet
Area of the rectangular portion ≈ 158.24 square feet
Area of the two semi-circles = 2 * (area of one semi-circle)
Area of the two semi-circles ≈ 2 * 58.09 square feet
Area of the two semi-circles ≈ 116.18 square feet
Total area of the garden = area of the rectangular portion + area of the two semi-circles
Total area of the garden ≈ 158.24 square feet + 116.18 square feet
Total area of the garden ≈ 274.42 square feet
c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.
Area in square meters = Total area of the garden * (0.3048)²
Area in square meters ≈ 274.42 square feet * 0.3048²
Area in square meters ≈ 25.49 square meters
Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
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John worked 18 hours last week. He earned $216. What was his hourly rate?
Find the tangent line equations for the given functions at the given point(s): f(x) = tan x + 9 sin x at (π, 0)
Answer:
\({ \bf{f(x) = \tan x + 9 \sin x }}\)
For gradient, differentiate f(x):
\({ \tt{ \frac{dy}{dx} = { \sec }^{2}x + 9 \cos x }}\)
Substitute for x as π:
\({ \tt{gradient = { \sec }^{2} \pi + 9 \cos(\pi ) }} \\ { \tt{gradient = - 8 }}\)
Gradient of tangent = -8
\({ \bf{y =mx + b }} \\ { \tt{0 = ( - 8\pi) + b}} \\ { \tt{b = 8\pi}} \\ y - intercept = 8\pi\)
Equation of tangent:
\({ \boxed{ \bf{y = - 8x + 8\pi}}}\)
Does removing an outlier increase standard deviation?
Yes, If there are any outliers in the data set, the standard deviation will be large since the deviation from the mean will have increased. Therefore, if the outliers are eliminated, the standard deviation will be reduced, probably reflecting the true features of the population.
The impact on the standard deviation increases with the outlier's extremeness. Outliers make your data more variable, which reduces statistical power. Therefore, eliminating outliers can make your findings statistically significant. A removal of an outlier will have an impact on the mean. The standard deviation will decrease if the outlier was larger than the mean.
The standard deviation will increase if the outlier was less extreme than the mean. It's best to get rid of outliers only when there's a good cause to. Some outliers in your dataset represent normal population variance and ought to be left alone. They are referred to as real outliers.
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Suppose you are asked to pick 3 numbers from 1 to 20 to win a prize. What is the probability that one of the numbers you will pick is the winning number?
A) 20%
B) 15%
C) 5%
D) 10%
5%
what % times 20% is 100%
5%