9514 1404 393
Answer:
38.63 m
Step-by-step explanation:
The definition of the perimeter tells you that you need to find the lengths of each of the edges of the figure.
The diagonal edge at left is the hypotenuse of a right triangle with legs 4 and 6. They Pythagorean theorem tells you that length is ...
d = √(4² +6²) = √52 ≈ 7.21 . . . meters
The straight line across the top is marked 9 meters.
The semicircle length is half the circumference of a circle with diameter 6 m. That semicircle length is ...
semicircle length = (1/2)πd = (1/2)(3.14)(6 m) = 9.42 m
The straight bottom edge of the figure is 4+9 = 13 m.
Then the sum of lengths around the figure is ...
7.21 m + 9 m + 9.42 m + 13 m = 38.63 m
The perimeter of the figure rounded to 2 decimal places is 38.63 meters.
The measures of the first and second angles in a triangle are equal.The third angle measures 9 times the sum of the equal angles. Find the measurements of the three angles
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Answer:
9°, 9°, 162°
Step-by-step explanation:
Let x represent the measure of the first angle. Then the sum of all of the angles in the triangle is ...
x + x + 9(x+x) = 180°
20x = 180° . . . . . . . . . . collect terms
x = 180°/20 = 9° . . . . . divide by 20
9(x+x) = 162° . . . . . . . find the third angle
The three angle measures are 9°, 9°, and 162°.
Help with both of these please!
What is the product of the binomials below?
(5x + 2)(4x + 4)
A. 20x2 +28x+6
O B. 20x2+28x+8
O C. 9x2 +28x+6
O D. 9x2 +28x+8
Step-by-step explanation:
everything can be found in the picture
A teacher kept track of the shirt colors her students were wearing on Wednesday. The results of her observations are shown in the table below.
What is the P(blue shirt | girl)? Write your answer as a decimal.
Answer:
.321428571
Step-by-step explanation:
P(blue shirt | girl)
This means what is the probability of a blue shirt given that we have a girl
There are 56 girls and 18 girls wearing blue shirts
P(blue shirt | girl) = girls in blue shirts / girls
= 18/56
=.321428571
What is the solution to this system of equations?
There is no solution.
Step-by-step explanation:
Given:
y = 2x + 1
4x - 2y = 4
Substitute y = 2x + 1 into 4x - 2y = 4
4x - 2(2x + 1) = 4
4x - 4x - 2 = 4
0x = 4 + 2
0x = 6
Anything to the multiple of zero is zero. Hence 0x = 0, and 0 ≠ 6
So there is no solution to the equation.
uppose paired data are collected consisting of, for each person, their weight in pounds and the number of calories burned in 30 minutes of walking on a treadmill at 3.5 mph. How would the value of the correlation coefficient, r, change if all of the weights were converted to kilograms
Answer:
Has no effect on the correlation
Step-by-step explanation:
The correlation coefficient measures the strength of the relationship between two variables and it has no unit of measurement. All that correlation Coefficient does is to observe whether increase in variable x increases as variety able y increases and vice versa and how closely the values in each if the two variables are related. This is to emphasize that, the correlation Coefficient is independent of the unit of measurement of the two variables in question.
Hence, converting all weights to kilograms has no effect on the correlation Coefficient
Which statement is true?
Question 18 options:
A)
– |–13| = 13
B)
|–13| = 13
C)
– |13| = 13
D)
|13| = – 13
answer
A. - ( -13) = 13
thank. u
Answer:
b
Step-by-step explanation:
A is incorrect cause it would be a negative
C would also be a negative
D is a positive
so yea
Find the slope of the line
Rosie spent $25 on a new DVD. What integer represents Rosie’s situation? A 50, B -25, C 0, D 25
A row of plaques covers 252 square feet of space along a wall. If the plaques are 6 feet tall, what length of the wall do they cover?
Answer:
yeah boy
Step-by-step explanation:
They cover 252
they cover up the wall
A bag contains exactly 50 coins. The coins are either worth 10 cents, 20 cents or 50 cents and there is Atleast one of each. The total value of the coins is $10. How many different ways can this occur?
Answer:
This can happen in two ways:
1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.
2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.
Step-by-step explanation:
Given that a bag contains exactly 50 coins, and the coins are either worth 10 cents, 20 cents or 50 cents and there is at least one of each, and the total value of the coins is $ 10, to determine how many different ways can this occur, the following calculation must be performed:
48 x 0.5 + 1 x 0.2 + 1 x 0.1 = 24.30
48 x 0.1 + 1 x 0.2 + 1 x 0.5 = 5.5
48 x 0.2 + 1 x 0.1 + 1 x 0.5 = 10.3
45 x 0.2 + 4 x 0.1 + 1 x 0.5 = 9.9
44 x 0.2 + 5 x 0.1 + 1 x 0.5 = 9.8
42 x 0.2 + 6 x 0.1 + 2 x 0.5 = 10
30 x 0.1 + 10 x 0.2 + 10 x 0.5 = 10
Therefore, this can happen in two ways:
1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.
2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.
The following examples illustrate the commutative property of multiplication.
5 · 2 · 9 = 2 · 5 · 9
3.14 · 2 = 2 · 3.14
Study the examples, then choose the statement that best describes the property.
a · b = a ÷ b
a · (b · c) = (a · b) · c
a · b = b · a
a · b = a · c
help me please 2t = 10
Answer: t = 5
Step-by-step explanation:
If 2t = 10, then we divide 10 by 2. The answer is 5.
PLEASE HELP I WILL GIVE THE BRAINLIEST ANSWER FAST
second attachment has the diagram
Answer: B and E apply. I know for sure.
Please show work. What is the volume of the figure?
Answer:
Volume = 288 in.³
Step-by-step explanation:
Volume of the solid = volume of the cube + volume of the square pyramid
V = a³ + ⅓*a²*h
a = 6 in.
h = 12 - 6 = 6 in.
Plug in the values into the volume formula
Volume = 6³ + ⅓*6²*6
Volume = 216 + 72
Volume = 288 in.³
A cooler contains twelve bottles of sports drink: three lemon-lime flavored, four orange
flavored, and five fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or an
orange.
A).583
B).333
C).727
D).714
sam ran 63,756 feet in 7 hours. what is sam's miles per hour
Answer:
1.725 mph
There are 5280 feet in a mile, so you divide by that and get 12.075. Since it's seven hours, you divide by 7 and get 1.725.
Answer: 9108
Step-by-step explanation: To solve ur problem u hsd to do 63756 divided by 7 to find out how much sam ran per hour. I hope it helps u! ItzofficallySriSri signing off!
Each gram of fat is 9 calories. Each serving of cake is 700 calories. What percent of these calories are from fat?
Answer:
1.3%
Step-by-step explanation:
[tex]\frac{9}{700}[/tex]
9 ÷ 700
0.0129
0.0129 × 100
1.3%
he owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on weekdays and weekends. The owner samples 5 weekdays and finds an average of 259.23 gallons of milk sold on those days with a standard deviation of 34.713. 10 (total) Saturdays and Sundays are sampled and the average number of gallons sold is 365.12 with a standard deviation of 48.297. Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.
Answer:
90% confidence interval is ( -149.114, -62.666 )
Step-by-step explanation:
Given the data in the question;
Sample 1 Sample 2
x"₁ = 259.23 x"₂ = 365.12
s₁ = 34.713 s₂ = 48.297
n₁ = 5 n₂ = 10
With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }
significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1
Since we are to assume that variance are equal and they are know, we will use pooled variance;
Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13
Now, pooled estimate of variance will be;
[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]
we substitute
[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]
[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [ 4 + 9 ]
[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [ 13 ]
[tex]S_p^2[/tex] = 25813.3692 / 13
[tex]S_p^2[/tex] = 1985.64378
Now the Standard Error will be;
[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]
[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]
[tex]S_{x1-x2[/tex] = √595.693134
[tex]S_{x1-x2[/tex] = 24.4068
Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771 { t-table }
So,
Margin of Error E = [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]
we substitute
Margin of Error E = 1.771 × 24.4068
Margin of Error E = 43.224
Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89
So, Limits of 90% CI will be; x₁ - x₂ ± E
Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114
Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666
Therefore, 90% confidence interval is ( -149.114, -62.666 )
What is an equation of the line that passes through the points (4, 1) and (8, -3)?
Answer:
y=-1x+5
Step-by-step explanation:
How do you Solve this system of equations:
y=2x-1
4x+3y=7
Answer:
(1, 1)
Step-by-step explanation:
I've attached a picture above. Do tell me if you're still confused. This is just one of many methods
Answer:
(1,1)
Step-by-step explanation:
See the steps below:)
Gregory knows that ABC is reflected onto A'B'C. Which statement about the figures is true? Olf Gregory draws the segment with endpoints A and A', then the midpoint will lie on the line of reflection O If Gregory draws the segment with endpoints B and C', then the midpoint will be on the line of reflection O Points A and B are equidistant from the line of reflection O AB will be perpendicular to the line of reflection
The true statement about the reflection is (a) If Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
When a shape is reflected, it must be reflected across a line (called the line of reflection)
The line of reflection is always located at a point equidistant to the image and the pre-image of the shape that is being reflected
Hence, the true statement is (a) If Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
Read more about reflection at:
https://brainly.com/question/4289712
Answer:
a
Step-by-step explanation:
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pls help on number 2!!
Answer:
Step-by-step explanation:
the given figure is rectangle
area of rectangle=l*b
=5*6
=30 ft^2
Answer:
Area = 30 ft²
Step-by-step explanation:
This figure is a rectangle, therefore;
Area of a rectangle = B*W
A = 5*6
A = 30
Therefore the area of the given rectangle is 30 ft²
Hope this helps!
z > 34. Which of the following statements is the best way to describe the value of z? (3 points) The value of z is less than 34. The value of z is more than 34. The value of z has a maximum of 34. The value of z has a minimum of 34.
Answer:
ans: value of z is greater than 34
Step-by-step explanation:
draw the number line as shown in picture
The table shows the soil density of several soil samples at different depths. A) Write the quadratic regression equation that models the data. Let x = depth below the surface and let y = soil density. (B) Use the equation to estimate the soil density of a sample at a depth of 20 m. Show your work. ( Look at the picture for the table and Answer Part A and Answer Part B) Will Mark Brainliest if correct.
Answer:
depends on the tax percentage
Step-by-step explanation:
Hope this answer helps you.
Have a great day
Mark brainliest
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.
What is the angle measure of the turn that the key made?
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Answer:
156° or 13π/15 radians
Step-by-step explanation:
156 times 1° is 156°.
In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles
Answer:
[tex]0.98268[/tex]
Step-by-step explanation:
We are given that
Mean, [tex]\mu=3408[/tex]miles
Variance, [tex]\sigma^2=249001[/tex]
We have to find the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles.
n=36
[tex]P(|\bar{x}-3408}|<198)=P(3408-198<\bar{x}<198+3408)[/tex]
=[tex]P(3210<\bar{x}<3606)[/tex]
=[tex]P(\frac{3210-3408}{\sqrt{\frac{249001}{36}}}<\frac{\bar{x}-\mu}{\sqrt{\frac{variance}{n}}}<\frac{3606-3408}{\sqrt{\frac{249001}{36}}}[/tex]
[tex]=P(-2.38<Z<2.38)[/tex]
[tex]=P(Z<2.38)-P(Z<-2.38)[/tex]
[tex]=0.99134-0.00866[/tex]
=[tex]0.98268[/tex]
Hence, the probability that the mean of a sample of 36 cars would differ from the population mean by less than 198 miles=[tex]0.98268[/tex]
Tiger Woods's agent earns $2,000 per week plus 25% commission on all of Tiger's
earnings. Last week, Tiger earned $81,718. How much money did the agent make?
a) $20,429.50
b) $22,429.50
c) $63,288.50
d) $104,147.50
need help with this math problem
Answer: D) The value of [tex]\sqrt{215}[/tex] is between 14.5 and 15
Step-by-step explanation:
Let's start by taking the squaring these numbers.
[tex]13^2=169\\13.5^2=182.25\\14^2=196\\14.5^2=210.25\\15^2=225[/tex]
215 is in between 14.5 squared and 15 squared. That means its square root will be between 14.5 and 15.5
Find the relation independent of y for the following equation
y^2-2y+1 = 0
-y^2+3y+m =0
Answer:
m=−2,y=1
Step-by-step explanation: