Answer:
D. 7 h 15 min
Step-by-step explanation:
1. Convert 9:15 a.m. Eastern Time to Pacific Time. As you can see by the information given, Eastern Time is 3 hours ahead of Pacific Time. So, 9:15 a.m. Eastern Time is 6:15 a.m. Pacific Time.
2. Find the difference between 1:20 p.m. and 6:15 a.m.
1:20 p.m. = 13:20 p.m.
13:20
- 6:15
______
7:15
Suppose that public opinion in a large city is 62% in favor of increasing taxes to support the after-school programs and 38% against such an increase. If an interview of the random sample of 450 people from this city is conducted, what is the approximate probability that more than 180 of these people will be against increasing taxes?
Answer:
19.21%
Step-by-step explanation:
What we must do is calculate the z value in order to find the probability.
We have that z is equal to:
z = (x - n * p) / (n * p * q) ^ (1/2)
where x is the value to evaluate and is 180, n random sample that is 450 and p that is the probability that is 38 and q the complement of p, therefore it is 62%, we replace:
z = (180 - 450 * 0.38) / (450 * 0.38 * 0.62) ^ (1/2)
z = 0.87
increasing taxes = P (x> 180)
= P (z> 0.87)
= 1 - P (z <= 0.87)
= 1 - 0.8079
= 0.1921
In other words, the probability is 19.21%
Answer:
P (z> (0.4 - 0.38) / SQUARE ROOT OF (0.62*0.38)/450)
Step-by-step explanation:
Got it right! If you calculate this, you actually will get 19.21%, as the previous answer states.
Earned 5 points, have a lovely day!
Simplify the following expression. (x^0*y^2/3*z−2)^3/2 / (x^2*z^1/2)^−6
Answer:
x^12 * z^3 (zy^2/3 - 2) ^3/2
x to the power of 12 times z cubed (zy to the power of two thirds minus 2) exponent three halves
Step-by-step explanation:
What is 7/8 divided by 1/4
Answer:
7/2
Step-by-step explanation:
you got two fractions you wanna divide flip the right and multiply
7/8 times 4/1 = 7/2
7/8 divided by 1/4 is equal to 7/2.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
(7/8) ÷ (1/4)
To find the reciprocal of 1/4, we flip the fraction, which gives us 4/1.
Now, we can multiply the first fraction by the reciprocal:
(7/8) × (4/1)
Multiplying the numerators and denominators, we get:
(7 × 4) / (8 × 1)
28/8
The fraction 28/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
(28 ÷ 4) / (8 ÷ 4)
7/2
Therefore, 7/8 divided by 1/4 is equal to 7/2.
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6,000 = bu + 4,000. Given the above equation with constant b, what is the value of 600,000 + 100 bu + 400,000 in millions?
Answer:
1.2 million
Step-by-step explanation:
First multiply the equation by 100. You get:
600,000 = 100bu + 400,000
Now recognize that you can substitute:
600,000 + 100bu + 400,000
= 600,000 + (600,000)
= 1,200,000
That’s 1.2 million.
The value of the equation given is 1.2 millions.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,
So, In the equation 1, multiply by 100, we get,
6,000 = bu + 4,000
600000 = 100 bu + 400000
Now, put this in equation 2,
600,000 + 100 bu + 400,000
= 600000 + 600000
= 1200000
= 1.2 millions
Hence, the value of the equation given is 1.2 millions.
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What is the solution to -2(8x - 4) < 2x + 5?
O x>
O x<
X>6
x < 6
Answer:
1/6 <x
Step-by-step explanation:
-2(8x - 4) < 2x + 5
Distribute
-16x +8 < 2x+5
Add 16x to each side
-16x+16x +8 < 2x+16x+5
8 < 18x +5
Subtract 5 from each side
8-5 <18x
3 <18x
Divide by 18
3/18 <x
1/6 <x
-2(8x - 4) < 2x + 5
Expand the brackets.
-16x +8 < 2x + 5
Add -2x and -8 on both sides.
-16x -2x<5-8
-18x<-3
Multiply both sides with -1 (reverse the inequalty).
18x>3
Divide 18 into both sides.
18x/18>3/18
x>1/6In the diagram, AB = BC = CD = DA prove that triangle ADB is congruent to triangle CDB.
Answer:
Given
Hope it helps!
Step-by-step explanation:
Consider triangle ABD and CDB,
The congruent parts are:
AB= BC (given)
AD= CD (given)
BD= BD (common side)
Therefore the triangles are congruent by SSS (side side side) congruence rule.
The triangles are congruent by SSS (side side side) congruence postulate.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed. Then that means two triangles are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
Given that AB = BC = CD = DA. we need to prove that triangle ADB is congruent to triangle CDB.
Let's Consider triangle ABD and CDB,
Here, Triangles ADB and CDB have a common side at BD.
The congruent parts are:
AB= BC (given)
AD= CD (given)
BD= BD (common side)
Since the three sides of the triangles are congruent.
Therefore, the triangles are congruent by SSS (side side side) congruence postulate.
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Factor completely x2 + 64.
(x + 8)(x − 8)
Prime
(x + 8)(x + 8)
(x − 8)(x − 8)
Answer:
Prime
Step-by-step explanation:
x^2 + 64 cannot be factored any further
It is prime because it cannot be factored further.
Can a prime number be factored further?Prime numbers have two elements, themselves and 1, however, those are the trivial factors that every variety has. Due to the fact they can not be factored in every other manner, we are saying that they cannot be factored.
What does prime suggest in factoring?Prime factorization is a way of expressing a variety of as a made from its prime elements. A high wide variety is a number that has precisely two elements, 1 and the variety itself. For instance, if we take the range 30. We realize that 30 = 5 × 6, however, 6 isn't always a high wide variety.
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Help please.The length of a rectangle is 2 times the width. If the perimeter is to be less than 108 meters. What are the possible values for the width.
If the only perimeters are that the length has to be twice the width and less than 108 meters then there are an infinite amount of possible values for width. For example: 1.0002 and 2.0004 or 4 and 8. You can use an infinite amount of decimal places and therefore have an infinite amount of values.
The largest the width can be is the limit approaching 18 and it has to be greater than 0 tho
PLS HELP How many cubes with side lengths 1/4 of does it take to fill the prism
1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!
Answer:
224
Step-by-step explanation:
Khan hehe
A triangle has vertices A (-5, -4), B (2, 6), and C (4, -3). The center of dilation is the origin and (x, y) changes to (3x, 3y). What are the vertices of the dilated image?
Answer:
(-15,12),(6,18)(12,-9)
Step-by-step explanation:
Given
A (-5, -4), B (2, 6), and C (4, -3)
Dilated from (x,y) to (3x,3y)
Required
Vertices of the dilated image
First, the scale factor has to be calculated
This is calculated as thus;
Dilation = Original * Scale Factor;
In case of (x,y) to (3x,3y)
So, we have
[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]
Simplify brackets
[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]
Divide both sides by (x,y)
[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]
[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]
[tex]Scale\ Factor =3[/tex]
Now, the vertices of the new image can be calculated;
Using the formula: Dilation = Original * Scale Factor;
At vertex A(-5,4)
Dilation = (-5,4) * 3
Dilation = (-5*3 ,4*3)
Dilation = (-15,12)
At vertex B(2,6)
Dilation = (2,6) * 3
Dilation = (2*3 ,6*3)
Dilation = (6,18)
At vertex C(4,-3)
Dilation = (4,-3) * 3
Dilation = (4*3 ,-3*3)
Dilation = (12,-9)
Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)
A 160 ft. long wire has a resistance of 16.2 12. What would the resistance of 8 ft. of wire be?
Answer: Resistance = 0.8106 ohms.
Step-by-step explanation:
Electrical resistance is proportional to the length of a wire.
The relationship between resistance and length of a wire can be expressed as;
L1/R1 = L2/R2
Let L1 = 160 ft, R1 = 16.212 ohms
L2 = 8ft, R2 = ?
Substitutes all the parameters values into the formula
160/16.212 = 8/R2
Cross multiply
160R2 = 129.696
R2 = 129.696/160
R2 = 0.8106 ohms.
Therefore, the resistance of 8 ft. of wire will be 0.8106 ohms.
Find a formula for the nth term
of the arithmetic sequence.
First term 10
Common difference -3
Answer:
For an nth term in an arithmetic sequence
U(n) = a + (n - 1 )d
a = first term
d = common difference
U(n) = 10 + (n -1)-3
= 10 - 3n + 3
= 13 - 3n
Hope this helps.
Answer: -3n + 13
Step-by-step explanation:
Please help
i need ASAP
Answer:
6 and 6
Step-by-step explanation:
In equilateral triangles, all sides are congruent so that means that BC and CA are both 6.
Answer:
BC = 6
CA = 6
Step-by-step explanation:
In an equilateral triangle all measures of side are equal.
Therefore,
AB = BC = CA = 6
What percent of the rectangle below is shaded?
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
PLEASE HELP ME, IMA LOW LIFE WHO DOESNT KNOW MAF
Answer:
c/a/a
Step-by-step explanation:
Answer:
B for the first one. A is for the second one. A for the third one.
Step-by-step explanation:
A is for the second one because 4* 10^4=40,000 while 4*10^5= 400,000 and a marathon is 42,000 and 40,000 is closer to 40,000. Therefore, A.
A for the third one because 1*10^0=1 while 1*10^1=10 and a stride is 1.44 and 1 is closer to 1.44 than 10. Therefore, A.
B for the first one because if a stride is 1m and the marathon is 4*10^4 which is 40,000 then. 40,000/1 = 40,000= 4*10^4
I hope this helps!
P.S.- Just an FYI in case you don't know. An* means to multiply and a ^ means to the power.
Which of the following are solutions to lx-1|=5x+2? Check all that apply
Answer:
x=-3/4 x=-1/4
Step-by-step explanation:
x-1=5x+2
-3=4x
x=-3/4
x+1=5x+2
-1=4x
x=-1/4
If P(x,y) is the point on the unit circle determined by real number 0, then tan0=
Answer: 0
Step-by-step explanation:
You can solve for tangent by dividing sin by cos.
Looking at the unit circle, at 0, sin is 1 and cos is 0, so you would simply have 0/1, which equals zero.
Answer:
y/x. Just took a quiz and this was the answer
A: -18,-13,-5,2,7
B:-4,0,2,7,12
C:4,22,27,32,43
Answer:
a=-18
b=7
c=27
Step-by-step explanation:
Find the surface area of the sphere.
r=3 cm
Round to the nearest tenth.
Answer:
Circle shape marked with radius (r) and circumference (c). Also shows formulas for the circumference and area of a circle
Radius (r)
3 cm
Diameter
6 cm
Circumference (c)
18.84956 cm
Area
28.27433 cm²
Answer: 113
Step-by-step explanation:
HELPP!!! 30 POINTS!!! WILL MARK BRAINLYIST!! Step 1: Written Response (30 points) Using complete sentences, compare the fat content of the three restaurants above. Make sure to talk about skewedness, measures of center, and measures of spread. Also, make a recommendation for which restaurant you think is the "healthiest". Make sure to defend your recommendation using mathematical terms that you've learned in this unit.
Answer:
median a= 65 b= 75 c=68
This shows the median of each fat content of each restaurant showing that restaurant c is closer to that of 'restaurant a ' than a is to 'restaurant b' and near to 1/7 lower than that of restaurant b which shows they are all highly skewed with each other upon their graph.
The measures of spread start with 55 to 72 for 'restaurant a' where the upper and lower quartiles are 70-60 showing a distribution 10-17 into the whisker plot.
Compared to restaurant b which shows a measure of spread start with 65 to 90 for 'restaurant b' where the upper and lower quartiles are 85 - 68 into the whisker plot and show a spread of 3 in the left exterior and 5 spread in the right exterior to the upper quartile. So in comparison to restaurant a that restaurant b has a greater spread in the interquartile range = 15 where restaurant a =10.
For the outer quartile the comparison to restaurant a is twice as small meaning restaurant a is greater by over double and shown as 53 <a < 60 which when showing both outer quartiles we can use the amounts being 7 and 70<a<72 = 2
and show closed dots on equality line number line separately showing a<-7 and a>2 for each outer exterior quartile. For restaurant b this shows opposite similar equalities 65<b< 68 = b>-3 and 82<b<89 = b>7
So the differences are smaller for b for left side by 4 and larger for b by 5 up on the right side.
We compare both to restaurant c and find c = 60<c<61 = c>-1 and 70<c<71 = c>1 so the differences are that the outer quartile for c through the other quartiles = -2> c < -6 . This shows how smaller c is compared to a and b outer quartiles). We can also prove that while the outer quartiles are much more smaller for c than a and b we cna prove that c actually has an inner quartile more similar to c and closer distribution of b as the median is more closer for a and c where b has a greater output for median as restaurant b has the higher fat content and greater distribution within the inner quartiles over all.
Summary findings Restaurant c outer quartile is moderately skewed as they show -1 -0.5 on the left side and 1-0.5 on the right side. Restaurant a has a closer median inner quartile to c and closer distribution of inner distribution of c. It's output outer quartile distribiution is a distribution that is higher than b but a smaller inner quartile compared to b, when this happens then the distribution spread shows less range and fewer products to account for.
So i think restaurant b has the higher fat content to its menu.
Where restaurant a must be the healthiest as it holds the lowest range and larger gap is such range for healthier food.ie) when compared to the others.
Meanings of what we are asked.
In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range. the median is marked by a vertical line inside the box. the whiskers are the two lines outside the box that extend to the highest and lowest observations.
Skewness refers to distortion or asymmetry in a symmetrical bell curve, or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be skewed. Skewness can be quantified as a representation of the extent to which a given distribution varies from a normal distribution.
As a general rule of thumb:
If skewness is less than -1 or greater than 1, the distribution is highly skewed.
If skewness is between -1 and -0.5 or between 0.5 and 1, the distribution is moderately skewed.
If skewness is between -0.5 and 0.5, the distribution is approximately symmetric.
Step-by-step explanation:
I hope this helps u have a nice day ✌❤☘Which of these systems of linear equations has no solution? A. 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus B. y = 18. 4 x + 2 y = 38. C. 4 x + 7 y = 17. 8 x minus 14 y = 36. D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Answer:
D. 4 x minus 3 y = 16. 8 x minus 6 y = 34
Step-by-step explanation:
A. 2 x + 8 y = 15. 4 x + 16 y = 30.
Multiply the first equation by 2
4x+16y = 30 This is identical to the second equation so there are infinite solutions
B. 2 x - y = 18. 4 x + 2 y = 38.
Multiply the first equation by 2
4x -2y = 36. Add to the second equation 8x = 74 so there is one solution
C. 4 x + 7 y = 17. 8 x minus 14 y = 36.
Multiply the first equation by 2
8x +14y = 34 Add this to the second equation 16x = 70 There is one solution
D. 4 x minus 3 y = 16. 8 x minus 6 y = 34.
Multiply the first equation by 2
8x - 6y = 32 Subtract this from the second equation 8x - 6y = 34
0 = 2
This is never true so there is no solution
Answer:
d
Step-by-step explanation:
what is the mid point of the x-intercepts of f(x)=(x-2)(x-4)?
(-3,0)
(-1,0)
(1,0)
(3,0)
Answer:
The x-int.s are (2, 0) and (4, 0) so the midpoint will be (3, 0).
Answer:
Step-by-step explanation:
Factor completely x3 + 8x2 – 3x – 24
O(x-8)(x2 - 3)
O (X + 8)(x2 + 3)
O (x-8)(x2 + 3)
O (X + 8)(x2 – 3)
Answer:
Option d is the answer
(X + 8)(x2 – 3)
Step-by-step explanation:
x3 + 8x2 – 3x – 24
= (X + 8)(x2 – 3)
Check all the options by expansion
(a)
(x-8)(x2 - 3)
=x3-3x-8x2+24
(b)
(X + 8)(x2 + 3)
=X3+3x+8x2-24
(c)
(x-8)(x2 + 3)
=X3+3x-8x2-24
(d)
(X + 8)(x2 – 3)
=X3-3x+8x2-24
HELP! WILL GIVE BRAINLIEST! Given the table of values below which of the following ordered pairs are found on the graph of the inverse function?
Answer:
C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)
Step-by-step explanation:
a p e x , just took the quiz
Point S is located at(9,−3). Point T is located at (4,-3)
Answer:
if 52x=1 what is the value of x
Answer:
5.
Step-by-step explanation:
Khan academy (I tried 5 and it was correct)
Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?
A .3 pounds B .2 pounds C .1 pound D. 0.5 pound
Answer:
Weight of the parcel in pounds = 1 pound
Step-by-step explanation:
Given:
y = 4x + 1 ---------------------Eq1
y = 3x + 2 ----------------------Eq2
Where,
x = weight of the parcel in pounds
y = total cost of the parcel
Find:
From Eq1 and Eq2, by using Substitution method.
y = 4x + 1 ---------------------Eq1
y = 3x + 2 ----------------------Eq2
So,
3x + 2 = 4x + 1
4x - 3x = 2 - 1
x = 1
Weight of the parcel in pounds = 1 pound in both services is equal
Use triangle ABC to write the value of tan A as a ratio.
What is the ratio for tan A
Enter your answer as a fraction in simplest form, like this: 42/53
Question 7(Multiple Choice Worth 4 points)
(01.06 MC)
Solve for x.
Ox=69
Ox = 15
Ox = 30°
Ox= 90°
Answer:
x = 30
Step-by-step explanation:
4x+2x=180
6x=180
x=30
The value of x is 30.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a line EB where another line FA is intersected at the point A on the line EB.
Angles formed on a line is supplementary.
The angles EAF and BAF are the angles formed on a line.
∠EAF + ∠BAF = 180°
4x + 2x = 180°
6x = 180°
x = 180° / 6
x = 30
Hence the value of the x in 4x and 2x is x = 30.
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Sarah currently earns $18.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 20% raise. How much will she earn each hour after the raise?
Step-by-step explanation:
18 = 20/100 18x100=1800÷20=9020x?=1800 20x90=1800
Sarah will earn $ 21.60 following the percentage increase
What Does Percent Mean?A ratio or figure stated as a fraction of 100 is called a percentage. The percent marker is frequently used to indicate it,%
The approximation error in a data value is the distinction between a precise value and one that is close to it. This error may be referred to as either an absolute error or a relative error.
The difference between the measured value and the true value, expressed as a percentage of the true value, is known as a percentage change.
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Let the amount Sarah will get following the percentage increase be A given the available facts.
Right now, Sarah's starting salary is $ 18.00.
20% is the proportion that hourly work will rise.
Hence, the amount of increased hourly work equals 20% of Sarah's starting salary.
Simplifying results in
The increase in hourly pay is (20/100) times 18 ($3.60)
Now, the amount Sarah will get following the % increase is A = the starting sum Sarah earns + the increase in hourly pay.
And Sarah will earn A = $ 18.00 + $ 3.60 = $ 21.60 after the percentage increase.
Hence, an increase of $ 21.60 is required for hourly employment.
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PLS HELP ME WITH MY GEOMETRY QUESTION
Answer:
X=131
Step-by-step explanation:
9+40+? = 180
All triangles =180
40+9=49
180-49=131
answer is x=131
Answer:
41
Step-by-step explanation:
This is a pythagorean theorem question, which is represented by the formula [tex]a^{2} + b^{2} = c^{2}[/tex]
c always represents the hypotenuse, which is the longest side of the triangle
your two given numbers are represented by a and b
plug in the two numbers into the formula and solve. the formula should look like this: [tex]9^{2} + 40^{2} =c^{2}[/tex]
it should then be: 81+1600=[tex]c^{2}[/tex]
Add the two numbers and take the square root