The arc measures in the given circle are 100 degrees, 140 degrees, and 180 degrees.
What is angle BAC is a central angle that intercepts arc BC?It is a semicircle, so its measure is 180 degrees.
The other angles can be found using corresponding angles, alternate interior angles, alternate exterior angles, and supplementary angles. The measures of the arcs AB and CD are 360 degrees each, since they are intercepted by central angles that sum up to 360 degrees.
What are areas of The arcs BC, DE, and EF?Have measures of 0 degrees each, since they are intercepted by angles that measure 0 degrees. The arc FA has a measure of 180 degrees, as it is intercepted by the angle BAC, which measures 180 degrees.
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Mark is installing a mosaic tile backsplash and the shape of the tiles are shaped like regular octagons. Each tile has a length from side to side of 6 in. Once Mark gets a few pieces on the wall, he realized that there is a gap that the tiles do not cover. What size tile must he get to fill the gaps?
Answer:
square with sides of 6 in
Step-by-step explanation:
Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.
Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.
Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in
A kite is flying at a vertical of 65 meters. It's string is attached to the ground at a 31 degree angle with the ground. How long is the string? Round the the nearest WHOLE NUMBER
Answer:
70 and 30
Step-by-step explanation:
HELP ASAP
The minute hand of this clock is shown in two positions. The minute hand first forms a 46° angle with the hour hand. It then forms an 84° angle with the hour hand.
How many degrees did the minute hand turn from its first position to its second position?
Enter your answer in the box.
Answer:
38 degrees
Step-by-step explanation:
To get the answer, we need to subtract the first angle from the second angle:
84-46=38
The minute hand turned 38 degrees from its first to second position.
How to check the answer? Use inverse operations.
46+38=84
100 points helpppp now
Solve the inequality hurrry show your work
33+6f<33
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \:f < 0 \)
____________________________________
\( \large \tt Solution \: : \)
\(\qquad \tt \rightarrow \: 33 + 6f < 33\)
[ subtract 33 on both sides ]
\(\qquad \tt \rightarrow \: 33 - 33+ 6f < 33 - 33\)
\(\qquad \tt \rightarrow \: 6f < 0\)
\(\qquad \tt \rightarrow \: f < 0\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
could anyone help me with this please??
Answer:
x = 103⁰
Step-by-step explanation:
127+40+90+x = 360⁰
257+x = 360⁰
x = 360⁰- 257⁰
x= 103⁰
tim buys a torch and a battery. the torch costs 11 times as much as the battery. tim pays with a £10 note and gets £4.84 change how much does the battery cost?
Answer:
43 p
Step-by-step explanation:
total cost = 10 - 4.84 = 10.00 - 4.84 = £5.16
b + t = 5.16
t = 11b
b + 11b = 5.16
12b = 5.16
12 / 12 b = 5.16/12
b = £0.43
What is the value of x?
A)8/34
B)1023
C) 32
D) 24
Answer:
I beileve your answer would be A. Hope this helps you. no need for brainliest.
Answer:
32 i sent on axedent
Step-by-step explanation:
In a video game, the player can choose their character. The choices are from 8 animals and 4 humans. Players can also let the game randomly choose
their character
If a player does the random selection, what is the probability that a human character will be chosen?
Enter your answer as a fraction in simplest form in the box
The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)
The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.
There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:
P(Human) = Number of human characters / Total number of characters
P(Human) = 4 / 12
Simplifying this fraction, we find:
P(Human) = 1 / 3
Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.
In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).
When we simplify the fraction 4/12, we find that it is equal to 1/3.
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what is circles and conditional probability
Answer:
what you mean about circles but i do know probability
Step-by-step explanation:
conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.
Becky is meeting her friend at the library at 12:45 p.m. It takes her 25 minutes to get to the library. What time will she need to leave her house to arrive on time?
Answer:
Becky must leave at 12:20pm to arrive on time
Step-by-step explanation:
12:45-25=12:20
A person on a moving sidewalk travels 21 feet in 7 seconds. The moving sidewalk has a length of 180 feet. How long will it take to move from one end of the sidewalk to the other?
Answer:
59.40
Step-by-step explanation:
it takes .33 seconds to walk 1 foot so multiply that times 180 and you get 59.4
a farming community collected data on the effect of different amounts of fertilizer, x, in 100 kg/ha, on the yield of carrots, y, in tonnes. The resulting quadratic regression model is y=-0.5x^2 + 1.4x +0.1. Determine the amount of fertilizer needed to produce the maximum yield.
40 points! and I will mark you Brainliest !
Find the shaded area. Round to the nearest tenth if necessary.
Answer:
1.) 49.5 mm ^2
2.) 183 in. ^ 2
Step-by-step explanation:
So for number one, it's a very irregular shape, but luckily, we can split it vertically! Into a triangle & a quadrilateral.
The area of the quadrilateral would be
6*7 = 42
The triangle is more difficult, because its not directly given, BUT, we do know that the height would have to be 6 minus 3, and the base would be 12 minus 7... So the equation is
\(A = \frac{1}{2} bh\\A = \frac{1}{2}(5)(3)\\A = 7.5\)
Now, the rectangle and the triangle account for the total area in this case, when you add them, you get 49.5 mm ^2
~~~~~~~~
For the second, we have a trapezoid with a triangular cutout, the area of a trapezoid is defined as:
\(A = \frac{1}{2} (B1-B2) h\)
Luckliy, none of the numbers of the bases, or height, are hidden. The height is 18, the larger base is 51, and the smaller is 24.
\(A = \frac{1}{2} (51-24)18\\A = 243\)
So, the trapezoid area is 243 in ^2. But we aren't done, we still have the triangle! It will be easy though!
Remember, the formula for a triangle is half the base times the height. These numbers are directly given to us!
\(A = \frac{1}{2} (12)(9)\\A = 54\)
Now, since the triangle is NOT SHADED, we subtract it's area from the trapezoid's...
\(243 - 54 = 183\)
The area is 183 in. ^ 2
#SpreadTheLove
Answer:
1)49.5mm ^2.
2)183 in ^2.
Step-by-step explanation:
So for number one it's a very iregular shape,but luckily ,we can slip it vertycally.
6×7=42.
The triangle is more difficult because it's not directly given.
The questions is:
A=1 on 2 bh.
A= 1 on 2 (5 and 3)
Solve the following values for x and y :
Answer and Step-by-step explanation:
2(5x - 5) = 6x + 50
Distribute the 2 to the 5x and -5.
10x - 10 = 6x + 50
Add 10 to both sides, and subtract 6x from both sides.
4x = 60
Divide both sides by 4.
x = 15
5y + 5 = 7y - 9
Subtract 5 from both sides, and 7y from both sides.
-2y = -14
Divide both sides by -2.
y = 7
#teamtrees #PAW (Plant And Water)
What is the surface area of the prism? 1,440 square inches 1,584 square inches 1,872 square inches 2,160 square inches
The surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.
What is a rectangular prism?
A rectangular prism is simply a three-dimensional solid shape with six faces that are rectangles.
The surface area of a rectangular prism is the sum of the areas of all the faces.
The surface area of a rectangular prism is expressed as:
S.A = 2( wl + hl + hw )
where,
w is the width,
l is the length,
and h is the height;
Thus; A = 2( (24× 18) + (12×18) + (12× 24)
= 2 ( 432 + 216 + 288 )
= 2 × 936
= 1,872 sq inches
Therefore, the surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.
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1) Drew is an artist. He paints portraits. The table below
shows the number of portraits painted in hours. Do the
numbers in the table represent a proportional relationship?
Answer:
Yes
Step-by-step explanation:
Their ratios are equivalent
Find a parametrization for the part of the ellipsoid x+ 2y+ 3z = 1 that lies in the right half space y ? 0. 2)Calculate (double integral) //s curlF
The parametrization for the part of the ellipsoid that lies in the right half space y ≥ 0 is given by x = 1/3 - 2t, y = t, and z = (1 - x - 2y)/3, where t is a parameter.
To find the parametrization for the part of the ellipsoid that lies in the right half space y ≥ 0, we can express the given equation of the ellipsoid x + 2y + 3z = 1 in terms of a parameter t.
Start by isolating x in terms of t:
x = 1 - 2y - 3z
Since we want the part of the ellipsoid in the right half space, y ≥ 0, we can set y = t, where t is a parameter.
Substitute y = t into the equation for x:
x = 1 - 2t - 3z
Now, we need to express z in terms of t. Substituting the values of x and y into the equation of the ellipsoid:
1 - 2t - 3z + 2t + 3z = 1
-3z + 3z = 0
0 = 0
The equation 0 = 0 indicates that z can take any value, meaning it is not restricted. Therefore, we can set z = a parameter u.
Finally, we have the parametrization for the part of the ellipsoid in the right half space:
x = 1/3 - 2t
y = t
z = u
The parameter t represents the value of y, and the parameter u represents the value of z. The values of x, y, and z are determined based on these parameters.
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Prove AB is congruent to BC given BE bisects DBC and BE is parallel to AC
AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .
What is congruent ?
Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.
Step 1: Statement: \($\angle DBE = \angle EBC$\)
Reason: Given that overline BE bisects \($\angle DBC$\)
Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)
Reason: Angle sum property of a straight line.
Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)
Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.
Step 4: Statement: \($\angle ABC = \angle DBC$\)
Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).
Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)
Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.
Step 6: Statement: \($AB = BC$\)
Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).
Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .
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Please help with numbers 6,7,8 will brainlist
Answer:
6. -3
7. 16
8. -39
Step-by-step explanation:
HELPP ME PLSSSSSSS I NEED IT NOW PLSSS. How could you calculate the x-coordinate of the midpoint of a horizontal
segment with endpoints at (0,0) and (20,0)?
Answer:
The correct answer is B: Count by hand and D: Divide 20 by 2
Step-by-step explanation:
I just got it correct.
I GIVE BRAINLIEST AND 20 POINTS. please someone solve me these. Explain how and it would be better wth a pic. thank u.
Answer:
A = 12
B = 0
r = 2
Step-by-step explanation:
A) √121 + 3/5 + 2/5 = 11 + 1 = 12
B) √100 - 3 -7 = 10 - 3 - 7 = 0
r) 1/2 - 1/2 + √4 = 2
the half-life of zn-71 is 2.4 minutes. given you start with 50g of the material, how many minutes will pass before you have 5g left?
Before 5g left, 7.2 minutes had gone by.
How do you define time and distance?Distance, time, and speed are all related to one another in their fundamental concepts. Distance traveled by a body in a given amount of time is its speed. That is Speed = Distance / Time. Normal Speed: Normal Total distance times speed Speed: Speed = Distance x Time Distance = D. (Speed x Time) Distance multiplied by speed equals time. mass This means that it would take 7.2 minutes before you had 5 g left: 0. 502.4. 254.8. 12.57.2. 6.259.6.
Why is it known as a half-life?The amount of time it takes for a radioactive element to decay to half its original value is known as its half life. The time it takes for a source's activity to decrease to half its initial value is implied by this to be the definition of a half life.
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Simplify Please and Thank you!
Answer:
\(2\sqrt{6}\)
Step-by-step explanation:
\(\sqrt{24} \\= \sqrt{4} * \sqrt{6}\\= 2\sqrt{6}\)
Match which Article from the Constitution establishes which branch of the national government: Article 1 Article 2 Article 3
Answer:
Article 3
Step-by-step explanation:
reate a recursive definition for the set of all positive integers that have a 2 as at least one of its digits
Thus, S recursively as follows:
Base case: 2 is in S.
Recursive step: If n is in S, then n2 and 2n are also in S.
A recursive definition for the set of all positive integers that have a 2 as at least one of its digits can be created as follows. Let S be the set of all positive integers that have a 2 as at least one of its digits.
Base case: The number 2 is in the set S.
Recursive step: For any n in S, we can obtain a new number in S by adding 2 as a digit to the left of n, or by appending 2 to the right of n. This means that any number in S can be obtained by starting with 2 and applying the recursive step a finite number of times.
Thus, we have defined S recursively as follows:
Base case: 2 is in S.
Recursive step: If n is in S, then n2 and 2n are also in S.
This recursive definition ensures that any positive integer that has a 2 as at least one of its digits can be generated by starting with 2 and applying the recursive step a finite number of times. It also ensures that every number generated in this way will have a 2 as at least one of its digits.
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The sequence of transformations, RO,90° ° rx-axis, is applied to ΔXYZ to produce ΔX''Y''Z''. If the coordinates of Y'' are (3, 0), what are the coordinates of Y?
Answer:
y=(0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
had this question on an assignment and got it right
B) {(15.0). (15,-2)} Function? Explain:
Please help!! Much appreciated.
Answer:
( x - 7)^2=1
Step-by-step explanation:
Assume there is a sample of n
1
=4, with the sample mean
X
1
=35 and a sample standard deviation of S
1
=4, and there is an independent sample of n
2
=5 from another population with a sample mean of
X
ˉ
2
=31 and a sample standard deviation S
2
=5. In performing the pooled-variance t test, how many degrees of freedom are there? There are degrees of freedom. (Simplify your answer.)
There are 7 degrees of freedom.
In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)
Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7
Therefore, there are 7 degrees of freedom.
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There are 7 degrees of freedom for the pooled-variance t-test.
To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:
\(\[\text{{df}} = n_1 + n_2 - 2\]\)
where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.
In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:
\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)
In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.
To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.
In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.
Therefore, there are 7 degrees of freedom for the pooled-variance t-test.
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5. spinning a coin, unlike tossing it, may not give heads and tails equal probabilities. i spun a penny 193 times and got 85 heads. how significant is this evidence against equal probabilities? (use 10% level of significance)
The evidence does not provide sufficient support to conclude that the coin's probabilities of landing on heads and tails when spun are significantly different from each other at the 10% level of significance.
To determine the significance of the evidence against equal probabilities of heads and tails when spinning a coin, we can perform a hypothesis test.
Let's define our null hypothesis (H0) as the assumption that the coin has equal probabilities of landing on heads and tails when spun. The alternative hypothesis (H1) would be that the coin does not have equal probabilities.
H0: The probability of getting heads or tails when spinning the coin is 0.5.
H1: The probability of getting heads or tails when spinning the coin is not 0.5.
To assess the significance of the evidence, we can use a chi-square goodness-of-fit test. We'll calculate the chi-square statistic and compare it to the critical value at a 10% level of significance.
First, let's calculate the expected number of heads and tails assuming equal probabilities for each outcome. With 193 spins, we would expect 96.5 heads and 96.5 tails (0.5 × 193 = 96.5).
Observed (O):
Heads: 85
Tails: 193 - 85 = 108
Expected (E):
Heads: 96.5
Tails: 96.5
The chi-square statistic is given by the formula:
χ² = ∑((O - E)² / E)
Calculating the chi-square statistic:
χ² = ((85 - 96.5)² / 96.5) + ((108 - 96.5)² / 96.5)
= ((-11.5)² / 96.5) + (11.5² / 96.5)
= (132.25 / 96.5) + (132.25 / 96.5)
= 1.371
To determine the critical value at a 10% level of significance, we need to find the chi-square value with one degree of freedom (since we have two categories: heads and tails). Looking up the value in a chi-square distribution table or using a statistical calculator, we find that the critical chi-square value at a 10% level of significance is approximately 2.706.
Since the calculated chi-square value of 1.371 is less than the critical value of 2.706, we fail to reject the null hypothesis. This means that the evidence does not provide sufficient support to conclude that the coin's probabilities of landing on heads and tails when spun are significantly different from each other at the 10% level of significance.
Therefore, based on the given data, we cannot claim that spinning the penny gives heads and tails unequal probabilities.
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