Addition is one of the four fundamental mathematical operations. The correct option is E, None of these choices are correct.
What is Addition?Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
1. The annual premium cost for Michael's family is $5,260. The company pays 70% of the cost. Therefore, the cost he needs to may is,
30% of $5,260
= 0.30 × $5260
= $1578
Since the premium is needed to be paid in 52 week, therefore, the premium cost per week will be,
Premium cost = $1578/52 = $30.35
Hence, the correct option is C, $30.35.
2. Brenda annual premium is $3,500. Also, her medical bills is totaling to $12,000. Therefore, the total amount that is paid by the Brenda in purchasing Insurance and paying the bill is,
Amount Brenda spend = $3,500 + $12,000 = $15,500
The policy has a $500 deductible and pays 80% of all medical costs with a stop-loss provision of a limit of $4,000 for out-of-pocket expenses, after the deductible is paid. Therefore, the amount that she can get is,
Amount she can get = $500 + $4,000 = $4,500
Now, the amount that she needs to pay from her pocket is,
Amount = $15,500 - $4, 500 = $11,000
Hence, the correct option is E, None of these choices are correct.
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What are the minor arcs of O?
Answer:
3rd answer
Step-by-step explanation:
Pay attention to the arcs, minor arcs are less than 180 degrees
What is the range of the translated function? {y|y < 0} {y|y ≥ 0} {y|y is a natural number} {y|y is a real number}
The Range of the function is {y|y is a real number} , Option D is the correct answer
What is Range ?Range of a function is all the value a function can obtain.
From the figure it can be seen that the graph is moving slowly in either direction.
It extends from -∞ to +∞ ,
Therefore , {y|y is a real number} , Option D is the correct answer.
The complete question is
The graph shows a vertical translation of y = ³√x
What is the range of the translated function?
{y|y < 0}
{y|y ≥ 0}
{y|y is a natural number}
{y|y is a real number}
The image of the translated function is attached.
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Which expression is equivalent to
Answer:
AA. [tex] \frac{(2 {g}^{5} ) {}^{3} }{(4 {h}^{2}) {}^{3} } = \frac{ {g}^{15} }{8 {h}^{6} } [/tex]
Step-by-step explanation:
HOPE IT HELPS
Based on a poll conducted by the Centers for Disease Control, 862 of 1013 randomly selected adults said that they always wear seat belts. Construct and interpret a 95% confidence interval for the proportion of adults who always wear seat belts.
The confidence interval is 0.028, 0.872
Given862 of 1013 randomly selected adults wear seat belts.
The 95% confidence interval for the proportion of adults who always wear seat belts.
What is confidence interval?A Confidence Interval is defined as a range of values we are sure our true value lies within it.
What is 95% confidence interval?A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.
= 862/1013 = 0.85
At a 95% confidence interval ,the critical value is [tex]z_{0.025} = 1.96[/tex]
The 95% confidence interval for proportion is
[tex]\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)[/tex]
[tex]= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)[/tex]
[tex]= 0.85 +/- 0.022[/tex]
= 0.028, 0.872
The sample should use at least 10 successes and 10 failures.
[tex]n * \widehat p = 1013 * 0.85 = 861 > 10[/tex]
[tex]n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10[/tex]
As the sample size is larger, we can use an approximate formula for the standard error.
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Bailey and julie go running during their lunch break. bailey ran x miles while julie ran 3x miles. what information can we gather about the relationship between the number of miles bailey and julie ran?
The information we can see from the given data is that the speed of Julie is three times the speed of Bailey.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.
Given that:-
Bailey and Julie go running during their lunch break. bailey ran x miles while Julie ran 3x miles.The speed of Bailey = x miles
The speed of the Julie = 3x miles
The ratio of the speeds will be given as:-
J / B = 3x / x
J / B = 3
J = 3 B
Therefore information we can see from the given data is that the speed of Julie is three times the speed of Bailey.
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Im bad at composite figures || please hurry
The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.
The complete question is attached below.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of trapezoid and square.
Then the area of the geometry will be
Area = Area of trapezoid + Area of square
Area = 1/2 x (3 + 9) x 5 + 3 x 3
Area = 30 + 9
Area = 39 square meters
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3. (3, 5) and (k, 9), slope = 1/2
Linear relationships unit 3 lesson 10 grade 8 openuprespurces
Answer:
k = 11, if I understand the question.
Step-by-step explanation:
Please rephrase the question if my interpretation is incorrect. (BTW, isn't (k,9) a dog?)
======================
I'll assume that we want to find the value of k as given by the equation of a line that has a slope of (1/2).
Let's determine if we can establish an equation with what we know:
1. It goes through point (3,5), and
2. It has a slope of (1/2)
We'll look for a line with the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
From (2) we know y = (1/2)x + b.
We can find b by using the one known point that lies on the line (3,5). Use y = (1/2)x + b, insert the point (3,5), and solve for b:
y = (1/2)x + b
5 = (1/2)(3) + b
5 = 1.5 + b
b = 3.5
The line is y = (1/2)x + 3.5.
Now use the point (k,9):
y = (1/2)x + 3.5
9 = (1/2)k + 3.5
(1/2)k = 5.5
k = 11
The point is (11,9) so k = 9
See the attached graph.
Please Simplify 3√7 / 5√7
Step-by-step explanation:
please mark me as brainlest
Which of the following values can be found by using the formula √1+cos^2 0?
Let's check
Remove root over and simplify 1+cot²Ø
1+cos²theta/sin²thetasin²Ø+cos²Ø/sin²Ø1/sin²Øcosec²ØPutting root over
cscØSin can be found also along with csc
I’m not sure how to do this if someone could help it would be much appreciated
Answer:
(b) y = 18/x; y = 9/4
Step-by-step explanation:
Different kinds of variation are generally described by the equation ...
y = k·( ) . . . . . . . where k is the constant of proportionality
__
kinds of variationWhat goes in parentheses depends on the kind of variation. Here is a partial list of kinds that may be seen in algebra problems.
direct: xinverse: 1/xas the square: x²as the square root: √xas the inverse of the square: 1/x²jointly as: xzThe value of k can be found by solving the variation equation with given values of the variables.
__
inverse variationThe variables x and y are said to vary inversely, so the appropriate equation is ...
y = k(1/x) = k/x
Using the given values, we can find k:
9 = k/2
9·2 = k = 18
So, the equation is ...
y = k/18
__
for x=8Using the above equation, the value of y for x=8 is ...
y = 18/8 = 9/4
Note: you can also get there by realizing that x=8 is 4 times x=2, so the new value of y will be the old value of y multiplied by the inverse of this factor. 1/4 times the old value of y: (1/4)9 = 9/4.
Can I take a picture of the problem and upload for you to see?
If the divisor is a decimal then you must multiply by a power of 10 to make it a whole number. Why is it important to multiply the dividend and the divisor by the same power of 10?
It is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.
Division of whole numbers
When the numerator and denominator of improper fractions are in whole number form, it makes the division a lot easier.
For example;
what is the simplest form of 0.1/0.2?
To obtain the simplest form of the above function, we multiple the numerator and denominator by 10.
= (0.1 x 10)/(10 x 0.2)
= 1/2
Note: introducing factor of 10 to both numerator and denominator has not changed the function.
Thus, it is important to multiply the dividend and the divisor by the same power of 10 to remove the decimal point.
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If tan 0 = 4/3 and 0 lies in the third quadrant, which is the correct ratio for cos 0?
4/5
-3/5
-4/5
3/5
[tex] \frac{ - 3}{5} \\ [/tex]
because , in the third quadrant , the value of cos is negative. Moreover , we can find the third side of the triangle using Pythagoras theorem.
then ,
[tex] \cos(\theta) = \frac{base}{hypotenuse} \\ \\ \dashrightarrow \: \cos(\theta) = \frac{ - 3}{5} [/tex]
hope helpful.
The answer is cos 0 = -3/5
To calculate the answer:Given :
tan 0 = 4/3 and is in the 3rd quadrant
this implies that both the perpendicular and base are negative.
Perpendicular = -4
Base = -3
Hypotenuse = [tex]\sqrt{(perpendicular)^{2} + (base)^{2} }[/tex]
Hypotenuse = [tex]\sqrt{(-4)^{2} + (-3)^{2} }[/tex]
Hypotenuse = [tex]\sqrt{25} = 5[/tex]
cos 0 = [tex]\frac{Base}{Hypotenuse}[/tex]
cos 0 = -3/5
Therefore, cos 0 = -3/5
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Which expression simplifies to 5√3?
OA. √30
OB. 45
OC. √75
OD. 15
Re
Answer:
C)
Step-by-step explanation:
Prime factorize.
A) √30 is in its simplest form.
[tex]B) \sf \sqrt{45}= \sqrt{3*3*5} = 3\sqrt{5}\\[/tex]
[tex]C) \sqrt{75}=\sqrt{3*5*5}=5\sqrt{3}[/tex]
So, option C
The simplified expression of 5√3 is √75.
Hence, Option C is correct.
What is an mathematical expression?Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.
The given expression is,
5√3
So it can be written as,
⇒√5² x √3
⇒ √25 x √3
Since we know that,
Square roots are multiplied by both the whole number component and the square root component individually.
Therefore,
⇒√(25x3)
⇒√75
Thus,
5√3 = √75
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What type of triangle center is shown as point H in the figure?
Answer:
centroid
Step-by-step explanation:
medians of the triangle intersect at point H, making this point centroid.
(essentially, it's the center of the triangle)
Is there an end to prime numbers?
[tex]\huge\purple{Hi!}[/tex]
Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.
Last Monday the temperature changed at a rate of -3 F per hour. How long did it take for the change in temperature to be -21 F?
Answer:
7 hours
Step-by-step explanation:
just multiply 3 and 7 to get 21
Answer:
[tex]\fbox {7 hours}[/tex]
Step-by-step explanation:
⇒ Rate = -3F/hour
⇒ Starting : -21F
Solving :
⇒ -21/-3
⇒ 7 hours
HELP PLEASE ASAP Which choices are equivalent to the quotient below? Check all that apply.
√12/√6
A. √2
B. √4/√2
c. 2/√3
D.√6/√2
E. √6/2
F. 2
Step-by-step explanation:
[tex] = \frac{ \sqrt{12} }{ \sqrt{6} } [/tex]
[tex] = \sqrt{ \frac{12}{6} } [/tex]
[tex] = \sqrt{2} [/tex]
The answer is A.
The length of a rectangle is 3 yd longer than its width. if the perimeter of the rectangle is 58 yd, find its length and width.
Answer:
Length = 16 yds
Width = 13 yds
Step-by-step explanation:
P = 2w + 2l
l = w + 3
58 = (2w + 2(w + 3))
58 = 4w + 6
52 = 4w
w = 13
L = w + 3
= 13 + 3
= 16
The length and width of the rectangle are 16,13yd.
The Length and Width of the rectangle can be found as:
Given:The length of the rectangle is 3yds longer than the width which means length = w+3
and the perimeter is given by 58yd
Let W be the width and L be the length
We know that the perimeter of a rectangle is 2(L+w)
The perimeter of a rectangle is defined as the sum of all the sides of a rectangle
By simplifying we get2(w+w+3)=58
2(2w+3)=58
2w=29-3
w=13
then the length of the rectangle will be w+3
13+3 = 16
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write 5 rational numbers between 1 and 2
Answer:
1.1, 1.2, 1.3, 1.4, 1.5 or 11/10, 12/10, 13/10, 14/10, 15/10
Explanation:
Rational numbers can be expressed as fractions (p/q), decimals, whole numbers, natural numbers, integers.
Some rational numbers between 1 and 2 are: -
1.05, 1.1, 1.15, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.95, 1.97
Five rational numbers are
1.5=15/101.05=105/1001.007=10007/10001.3=13/101.03=103/100white shapes and black shapes are used in a game. some shapes are circles. all the other shapes are squares. the ratio of white shapes to the number of black shapes is 7:3 the ratio of white circles to white squares is 2:7 the ratio of black circles to the number of black squares is 1:2 work out what fraction fo all shapes are circles give your answer as a fraction in its simplest form
[tex]\mathbf{\frac{23}{90}}[/tex] fraction of all shapes are circles.
Given that the ratio of the number of white shapes to black shapes is 7:3
Let the number of white shapes be [tex]7n[/tex]
Then the number of black shapes be [tex]3n[/tex]
So total number of shapes [tex]=7n+3n=10n[/tex]
Now ratio of white circles to white squares is 2:7
So the fraction of circles to all white shapes [tex]=\frac{2}{2+7}=\frac{2}{9}[/tex]
Hence the number of white circles [tex]=\frac{2}{9}\times7n=\frac{14n}{9}[/tex]
Again given that the ratio of black circles to the number of black sqaures is 1:2
So the fraction of circles in all black shapes [tex]=\frac{1}{1+2}=\frac{1}{3}[/tex]
The number of black circles [tex]=\frac{1}{3}\times3n=n[/tex]
Total number of circles [tex]=\frac{14n}{9}+n=\frac{14n+9n}{9}=\frac{23n}{9}[/tex]
The fraction of all shapes are circle is [tex]=\frac{\frac{23n}{9}}{10n}=\frac{23n}{90n}=\frac{23}{90}[/tex]
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Select the correct answer.
The speed of a ship is given by , where d is the distance the ship travels in 3 hours. If the ship travels 48 miles in 3 hours, what is the speed of the ship?
A.
12 miles per hour
B.
16 miles per hour
C.
45 miles per hour
D.
51 miles per hour
1. A bus traveled for 4 hours and 30 minutes to travel 183 miles. What was it's average speed?
A. 42.56 mph
B. 40.67 mph
C. 32.09 mph
D. 30.67 mph
Answer:
B or 40.67mph
Step-by-step explanation:
To solve we will use formula distance over total time, so are distance is 183miles and are time is 4 hours and 30 minutes. If we put that in hours we get 4.5 hours. Now we simply divide 183/4.5 to get about 40.67 .
Does this graph represent a function? Why or why not?
For which graph is the parent function y=x^2
On a coordinate plane, a parabola opens up and has a vertex at (negative 1, negative 2).
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a cubic root function is shown.
On a coordinate plane, an absolute value function is shown.
y = x² is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)
What is the standard equation of a parabola ?The standard equation of a parabola is given by
y =a(x-h)² +k
Vertex at h , k
It is given that It has to be chosen from the options that whose parent function is
y = x²
As the plot of the first option is done , which is shown in the figure ,
The parabola is given by
y = (x +1)² +2
and the parent function is y = x²
Therefore the Option 1 is the answer.
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ABD and DBC are complementary angles 43 what is the measure of x
The value of x is 60
How to determine the value of x?The complete question is added as an image
From the image, we have:
ABD = 30
DBC = x
The sum of complementary angles is 90.
So, we have:
30 + x = 90
Subtract 30 from both sides
x = 60
Hence, the value of x is 60
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Which quadrilateral has exactly one pair of parallel sides?
a) rhombus
b) kite
c) trapezoid
d) parallelogram
Answer:
trapezoid
the horizontal side lengths wont touch each other if you extend them out
A man bought a car for Gh55,000.00 and sold it for Gh65,000.00. Find the percentage gain.
Answer:
18.18%
Step-by-step explanation:
(65000-55000)/55000×100
how do i do this? i need to factor it conpletely with any method that goes with it
In the above diagram, the demand for pepper is an example of price __________.
A.
elasticity
B.
shifting
C.
inelasticity
D.
controlling
Please select the best answer from the choices provided
A
B
C
D
Answer:
B. shifting
Step-by-step explanation:
When the price is rising or shifting higher, the demand curve moves to the left. But, t here is a corresponding change in the demand curve in that scenario while the cost stays unchanged. Since it relies on variables other than price, the simultaneous shift might go either left or right. However, the upward-pointing line depicts a rise in price and a fall in supply.
