The measure of the angle ∠ABC is 110° and the measure of the reflex angle ∠CBD is 70°.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The measure of the angle ABC will be
∠ABC = 110°
The angle ∠ABC and ∠CBD are the linear angles. Then we have
∠ABC + ∠CBD = 180°
110° + ∠CBD = 180°
∠CBD = 70°
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A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. if the mean of the sample is 18.7, what is the 95% confidence interval for the population mean? 18.7 ± 5.9 18.7 ± 9.7 18.7 ± 11.6 18.7 ± 15.2
If the mean of the sample is 18.7, The 95% confidence interval for the population mean is 18.7 ± 11.6.
Confidence intervalz-score for 95% confidence interval =1.96
Lower limit of the interval:
Lower limit=Sample mean-(Z-score×Margin of error)
Lower limit=18.7-(1.96×5.9)
Lower limit=18.7-11.564
Lower limit=18.7-11.6 (Approximately)
Upper limit of the interval:
Upper limit=Sample mean+(Z-score×Margin of error)
Upper limit=18.7+(1.96×5.9)
Upper limit=18.7+11.564
Upperr limit=18.7+11.6 (Approximately)
Hence:
Confidence interval= 18.7 ± 11.6
Therefore the 95% confidence interval for the population mean is 18.7 ± 11.6.
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Answer:
18.7 ± 11.6
Step-by-step explanation:
The answer above is correct.
7j+8s=455 what do j and s equal?
Answer:
[tex] \sf \: j= \frac{−8}{7}s+ \frac{445}{7} , \sf \: s= \frac{−7}{8}j+ \frac{445}{8} [/tex]
Step-by-step explanation:
[tex] \sf \: Let's solve for j. \\ \sf \: 7j+8s=445 \\ \sf \: Step 1: \: Add \: -8s \: to \: both \: s ides. \\ \sf \: 7j+8s+−8s=445+−8s \\ \sf \: 7j=−8s+445 \\ \sf \: Step \: 2: \: Divide \: both \: sides \: by \:7. \\ \sf \frac{7j}{7}= \frac{−8s+445}{7} \\ \sf \: j= \frac{−8}{7}s+ \frac{445}{7} \\[/tex]
Which rule represents the table's (down below) values?
A) y=3x+1
B) y=2x+11
C) y=3x-1
D) y=4x-15
X Y
12 35
13 38
14 41
15 44
16 47
Answer:
C
Step-by-step explanation:
Substitute the x-values into the the equation y=3x-1 and they will all give you the same y-values that are given in the table.
Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide. What is the rate of change in worldwide temperatures per year?
Answer:
the answer should be 0.05 degrees every year
rate brainliest
what unit is beat yo use in measuring the vulome of water in a rectangular pool?
Answer: An example is m³
Step-by-step explanation: Volume in a rectangular pool is length multiplied by width multiplied by height. Whatever the unit of these three parameters are, the volume will be raised to a cube. It it is metres, then volume will be m³
A salad dressing is made by mixing oil and vinegar in the ratio 7:2. Joshua makes 900ml of salad dressing. How much oil does he use?
Give your answer in millilitres (ml)
The answer to this question is 700 ML
Tiana lives 5/8 mile away from school. She walks halfway to school. How many
miles does she walk?
Answer:
5/16 mile
Step-by-step explanation:
5/8 * 1/2 = 5/16 mile
The image shows a circle with center (4,6) and radius 10 units.
Answer:
A, B, D, E
Step-by-step explanation:
Every point is on the circle except for the middle one
The points lying on the circle will be (-4, 12), (-6, 6), and (4, 16). Then the correct options are A, B, and E.
What is the equation of a circle?Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The center is at (4, 6) and the radius is 10 units. Then the equation of the circle is calculated as,
(x - 4)² + (y - 6)² = 10²
(x - 4)² + (y - 6)² = 100 .......1
Substitute (-4, 12) in equation 1, then we have
(-4 - 4)² + (12 - 6)² = 100
100 = 100
Substitute (-6, 6) in equation 1, then we have
(-6 - 4)² + (6 - 6)² = 100
100 = 100
Substitute (13, 10) in equation 1, then we have
(13 - 4)² + (10 - 6)² = 100
97 ≠ 100
Substitute (-4, 12) in equation 1, then we have
(4 - 4)² + (16 - 6)² = 100
100 = 100
If the equation is satisfied, then the point lies on the circle.
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y = (3x)2 + 17
when x = 2
Answer:
y = 29
Step-by-step explanation:
y = (3x)2 + 17
y = (3(2))2 + 17
y = (6)2 + 17
y = 12 + 17
y = 29
round answer to nearest hundreth
Answer:
10
Step-by-step explanation:
what is the answer ?
Answer:
19/60 or .317
Step-by-step explanation:
C = 95/300
95/300 = 19/60
19/60 = .317
.
Which of the following is the reciprocal 1/5 of ?How do I know if my answer is correct ? Please help me to solve this ! I really need help! Please heeeeelllllllpppppppp!
Answer:
5
Step-by-step explanation:
Repreical means opposite, so, 1/5 x 5 would equal one, thats a reciproal
Answer:
5
Step-by-step explanation:
The reciprocal of 1/5 would be 5. To find the reciprocal of a number, swap the numerator and the denominator.
One angle of a parallelogram measures 20 what are the measures of the other three angles in the parallelogram
Answer:
160°, 20° and 160°[tex] \: [/tex]
Step-by-step explanation:
Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D
So, If ∠A = 20°, then So, also ∠C = 20°.
[Opposite angles of a parallelogram are equal to each other]Therefore,
The measure of ∠C is 20°⠀
And, ∠A and ∠B are adjacent angles. We know,
Sum of two adjacent angles = 180°So,
⇒ ∠A + ∠B = 180°
⇒ 20° + ∠B = 180°
⇒ ∠B = 180° – 20°
⇒ ∠B = 160°
So,
The measure of ∠B = 160°⠀
So, If ∠B = 160°, then So, also ∠D = 160°.
[Opposite angles of a parallelogram are equal to each other]Therefore,
The measure of ∠D is 160°How many ways can Caroline choose 6 courses of any type? How many ways can Caroline choose 6 courses of any type?
Answer:
6 ways she can choose a course
PLEASE HELP! 5TH GRADE MATH, PLEASE GIVE BRAINLIEST!
Answer: 1 divided by 7
Step-by-step explanation: fraction bar is equal to division
Answer:
C or D but mostly D because the fraction is 1 into 7 and D is dividing 1 into 7 so if correct please consider brainliest
<3
Step-by-step explanation:
∠A ≅ ∠ _____. .A m .B n .C c .D AB
Answer:
M
Step-by-step explanation:
Option A M is answers
I hope it helped you
Use the Pythagorean theorem to solve for d. Enter the answer in simplest form.
Need help ASAP!
Answer: 12 units
Step-by-step explanation:
Since this is a "special" right triangle with congruent legs. We can multiply 6[tex]\sqrt{2}[/tex] by [tex]\sqrt{2}[/tex] to find the length of d.
6[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = 12
d = 12
Answer:
d = 12
Step-by-step explanation:
multiply 6√2 by √2
since they are congruent angles (angles that have equal measure).
It is recommended that people eat
20,000 mg of fiber each day. Julie ate a
cup of strawberries that had 4 grams of
fiber and a cup of oatmeal that had 5
grams of fiber. How many more grams of
fiber does she need to get the
recommended daily amount of fiber?
Answer:
First you have to convert MG to G, 1 Gram is equal to 1,000 Milligrams. If Julie has eaten a total of 9 Grams of fiber, she would need to eat 11 Grams more to get her recommended amount of Fiber
Step-by-step explanation:
1. Convert Mg to G
2. Add the amount of Grams she has already eaten.
3. Subtract the sum from twenty and multiply the difference by 1,000.
hi people! so, i have a math dyslexia, this means i have a really hard time not only understanding math, but keeping up with all the problems and new stuff, could someone just give me an explanation of what algebra is in a way that you would describe it to a 5 year old?
Answer:
Math with letters
Step-by-step explanation:
Algebra is just like normal math but instead of you knowing all the numbers there are some numbers you dont know and those are replaced with letters. letters are there to you can replace them with any number, or if given the right problem you might have to find out what number replaces the letter to give you the right answer. for example take 1+x=2 here x would be replaced with 1 to make this true. or take y=2-x+3 if you replace x with any number you want that changes the (y) value to give you anything you want. Also the letters can be any letter you want they dont mean anything just there as place holders for numbers.
A surfer paddles out past breaking waves, rides a wave, paddles back out past the breaking waves, rides another wave back to the beach. Draw a sketch of a graph (with labels) that shows the surfer's possible distance from the beach over time. Show work
Answer:
Past the waves to the beach
Step-by-step explanation:
They never went past the breaking waves that much and started at the beach
Pls help! I don’t understand bc I’m not smart-
Answer:
78.5 m²
Step-by-step explanation:
The formula to find the area of a quarter of a circle: [tex]\frac{1}{4} * \pi * r^{2}[/tex], where [tex]r[/tex] is the radius (diameter ÷ 2) and the [tex]\pi[/tex] is alterable.
1) Substitute the given values into the formula.
= [tex]\frac{1}{4} * 3.14 * 10^{2}[/tex]
2) Solve it.
= [tex]\frac{1}{4} * 314[/tex]
= 78.5
3) Round it off to the nearest tenth. In this case, it has already been rounded off.
HELPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a. square pyramid b. sphere d.triangular pyramid
Answer: a= Square Pyramid, b= Sphere, d= Triangular Pyramid
Step-by-step explanation:
the length of the rectangle is 4cm more than it's width.if the perimeter is 20cm. find the width
Answer:
3 cm
Step-by-step explanation:
The given relation between length and width can be used in the perimeter formula to find the width.
__
Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...
P = 2(L +W) . . . . . perimeter formula
20 = 2((w +4) +w) . . . . known values substituted
10 = 2w +4 . . . . . . . . divide by 2, collect terms
6 = 2w . . . . . . . . . subtract 4
3 = w . . . . . . . . divide by 2
The width of the rectangle is 3 cm.
__
Additional comment
The length is 7 cm.
Sydney’s cat is 8% heavier than Greg’s cat, and Jackie’s cat is 25% lighter than Greg’s cat. By what percent is Sydney’s cat heavier than Jackie’s?
PLEASE HELP!!!
Answer:
look at the attached image
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
√(12) - √(27)
[tex]\sqrt{12} - \sqrt{27}\\\\=\sqrt{4 \times 3} - \sqrt{9 \times 3}\\\\=2\sqrt 3 - 3\sqrt 3\\\\=-\sqrt 3[/tex]
If an investor has a $5,000 pretax return, the state tax rate is 4.5%, and the federal tax rate is 22.0%, what is the real investment value? $1,325 $3,675 $3,900 $4,775
Based on the given parameters, the real value of the investment is $3675
How to determine the value of the investment?From the question, the given parameters about the investment are:
Pretax return = $5,000
State tax rate = 4.5%
Federal tax rate = 22.0%
The real value of the investment is calculated using the following formula
Real investment value = Pretax return - [(Pretax return * State tax rate) * Pretax return * Federal tax rate)]
Substitute the given values in the above equation.
Real investment value = 5000 - [(5000 * 4.5%) + (5000 * 22.0%)]
Evaluate the products
Real investment value = 5000 - [225 + 1100]
Evaluate the sum in the above equation
Real investment value = 5000 - 1325
Evaluate the difference in the above equation
Real investment value = 3675
Hence, the real value of the investment is $3675
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Answer:3675
Step-by-step explanation:
0.8 cm
6 cm
Surface area of a cylinder
A=2πrh+2πr2
A≈34.18 if radius is .8
A≈256.35 if radius is 6
What two integers does sqrt41 fall between? explain reasoning
Answer:
Below!
Step-by-step explanation:
Given square root:
[tex]\sqrt41[/tex]
Let's note a few perfect square roots.
[tex]1 = \sqrt{1 \times 1} = \sqrt{1}[/tex]
[tex]2 = \sqrt{2 \times 2} = \sqrt{4}[/tex]
[tex]3 = \sqrt{3 \times 3} =\sqrt{9}[/tex]
[tex]4 = \sqrt{4 \times 4} =\sqrt{16}[/tex]
[tex]5 = \sqrt{5 \times 5} =\sqrt{25}[/tex]
[tex]6 = \sqrt{6 \times 6} =\sqrt{36}[/tex]
[tex]7 = \sqrt{7 \times 7} =\sqrt{49}[/tex]
[tex]8 = \sqrt{8 \times 8} =\sqrt{64}[/tex]
And so on...
When looking at the perfect square roots we identified, we can say that:
[tex]\sqrt{36} < \sqrt{41} < \sqrt{49}[/tex]
Therefore,
[tex]6 < \sqrt{41} < 7[/tex]
We can conclude that [tex]\sqrt{41}[/tex] is between 6 and 7.
Let's check the squares of first 10 number
1²=12²=43²=94²=165²=256²=367²=498²=649²=8110²=10041 lies between 36 and 49
Hence
√41 lies in between 6 and 7The captain of a riverboat cruise charges $36 per person. The cruise averages 300 customers a day. The captain is considering increasing the price. A survey indicates that for every $2 increase in price, there would be 10 fewer customers. What price would maximize revenue?
It’s due soon l don’t understand what to do
Answer:
38.4895
Step-by-step explanation:
area of circle = pi * r^2
3.142 * 7^2 = area of the whole circle
as we only have 1/4 of the circle we divide our area by 4
(3.142 *7^2) / 4 = 38.4895
Answer:
38.4895
Step-by-step explanation:
basically you are finding a quarter of the area of the circle. So the formula is 1/4πr^2
so that's 3.142×7^2 and then divided by 4.
hope this helps