Answer:
32/5
Step-by-step explanation:
I hope it helped you.
The following probability distribution represents the number of books read over asummer vacation. What is the probability for reading 4 books? Represent the value as aproportion (decimal form) as the other values are.Outcome23456P(x).23.27?.18.07
In order to determine which is the probability for reading 4 books, you consider that the sum of all probabilities must be equal to 1.0. In that sense, you know that the unknow value of the probability distribution for x = 4 can be calculate as follow:
- Add up all known values of the probability distribution
0.23 + 0.27 + 0.18 + 0.07 = 0.75
- Next, you subtract the previous result to 1.0:
1.0 - 0.75 =0.25
The previous result is the value of the probability distribution for x = 4.
Hence, the probability of reading 4 books is 0.25, which is equivalent to 25.0%.
help pls. the question is in the picture at the top.
Answer:
solve for 6x+8
Answer:
x = 3
Step-by-step explanation:
Since ∠ P and ∠ S are congruent then the triangle is isosceles and
PT = TS , substitute values
7x + 4 = 5x + 10 ( subtract 5x from both sides )
2x + 4 = 10 ( subtract 4 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Subtract 2x - 6 from 4x + 9
Answer:
2x + 15
Step-by-step explanation:
When you subtract an expression from another expression, it will be on the right side of the subtraction sign.
(4x + 9) - (2x - 6)
First, let's distribute the negative sign.
(4x + 9) - 2x + 6
Now combine like terms.
4x - 2x + 9 + 6
2x + 15
This is the fully simplified expression.
Hope this helps!
Consider this equation: -2x - 4 + 5x = 8 Generate a plan to solve for the cariable. Describe the steps that will be used.
Drag each number to a box to complete the table. Each number may be used once or not at all
Each number should be dragged to a box to complete the table as follows;
Kilometers Meters
1 1,000
2 2,000
3 3,000
5 5,000
8 8,000
What is a conversion factor?In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.
Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;
Conversion:
1 kilometer = 1,000 meters
2 kilometer = 2,000 meters
3 kilometer = 3,000 meters
4 kilometer = 4,000 meters
5 kilometer = 5,000 meters
6 kilometer = 6,000 meters
7 kilometer = 7,000 meters
8 kilometer = 8,000 meters
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
pls help will give brainliest and only put 1 variable in it ty
Answer:
(2/3)r=30
r=45cm
Step-by-step explanation:
When trying to find a fraction of something, multiply to get your answer:
(2/3) of r = (2/3)r
The blue ribbon can be represented by both 30cm and (2/3)r cm:
(2/3)r=30
2r=90
r=45cm
What is the greatest common factor, and how is the distributive property used to factor it out from a polynomial?
Answer:
To factor a polynomial, identify the greatest common factor of the monomial terms, and then use the Distributive Property to rewrite the expression. Once a polynomial in a • b + a • c form has been rewritten as a(b + c), where a is the GCF, we say that the polynomial is in factored form.
Step-by-step explanation:
Answer:
To factor a polynomial, identify the greatest common factor of the monomial terms, and then use the Distributive Property to rewrite the expression. Once a polynomial in a • b + a • c form has been rewritten as a(b + c), where a is the GCF, we say that the polynomial is in factored form.
Step-by-step explanation:
what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
-3.5 , 2 , -3 , -1 , -1.5
Least to greatest
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
negatives to positives
A store employs 11 women and 12 men.
What percentage of the employees are men?
Give your answer to 1 decimal place.
Total employees =11 + 12 = 23
Percentage of me = 12/23 = 0.5217 x 100 = 52.17% round the answer as needed
Answer:
The answer is 52.2%, Good Luck Everyone :)
Step-by-step explanation:
4. Name a pair of supplementary angles in the diagram. Explain.
Answer:
<TWQ and <QWV
There are actually four sets of supplementary angles in this diagram. You could choose any two angles that are next to each other as they would equal 180°.
Step-by-step explanation:
<TWQ and <QWV
There are actually four sets of supplementary angles in this diagram. You could choose any two angles that are next to each other as they would equal 180°.
A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings how many cups of flour are needed to make 20 servings?
Answer:
a = 8
b = 2
c = 48
Step-by-step explanation:
3 cups of flour is needed to make 24 servings.
3:24
Simplify. First, divide 3 from both sides of the ratio.
(3)/3 : (24)/3
1:8
Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1
1 x 2 = b = 2
Finally, multiply 8 to 6 to get c.
8 x 6 = c = 48
~
If P = (4,7), Find:
D3 (P)
([?], [_])
The image of the dilation of P is (12, 21)
Calculating the image of the dilation of PFrom the question, we have the following parameters that can be used in our computation:
P = (4, 7)
The expression D3 means that
The point P is dilated by a scale factor of 3
Using the above as a guide, we have the following:
D3P = P * 3
Substitute the known values in the above equation, so, we have the following representation
D3P = (4, 7) * 3
Evaluate
D3P = (12, 21)
Hence, the image of the dilation of P is (12, 21)
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if points p and q are contained in a plane, then pq is entirely contained in that plain
When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.
What are two or more points if they lie on the same line?A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.
Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.
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Question 7 (1 point)
The angle of elevation from point P to the top of the pole is 65°. Point Pis 21 feet from the base of the flagpole. To
the nearest tenth, what is the height of the pole?
65°
21 ft.
Plz help
Answer:
h = 452.5 ft
Step-by-step explanation:
Angle of elevation from P to top of the pole = 65°
Horizontal distance between the pole and point P = 21 ft
By Applying tan rule in the given triangle ABP,
tan(∠APB) = \(\frac{AB}{PB}\)
tan(65°) = \(\frac{h}{21}\)
h = 21[tan(65°)]
h = 452.491
h ≈ 452.5 ft
Therefore, height of the pole is 452.5 ft.
write an equation that you can use to slove for x enter your answer in the box
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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What is x? PLEASE HELP ME ITS ALMOST BEEN AN HOUR
Step-by-step explanation:
The objective here is to understand functions and manipulating them.
We know that f(x)=3 j(x)=-x+5 g(x)=x-5 and h(x)=2(2x+3). We subsitue those values in for the expression.
\(3 - ( - x + 5) + x - 5 = 2(2x - 3)\)
\(3 + x - 5 + x - 5 = 2(2x - 3)\)
\(2x - 7 = 2(2x - 3)\)
\(2x -7= 4x - 6\)
\(2x -1 = 4x\)
\(-1 = 2x\)
\(x =-0.5
Tyler has 3 times as many books as Mai. How many books does Mai have if Tyler has 7 books?
A. 5 books
B. x/3 books
C. 9 books
D. 7 books
Answer:
X/3 because you need to divide Tylers books (x) by 3.
Step-by-step explanation:
If Tyler has 3 times as many books as Mai then you would need to divide Tyler's amount of books by 3.
simplify.
\((27x^{9} )\frac{2}{3}\)
\(\sqrt[3]{729x^{18} }\)\((27x^9)^{2/3}\) when simplified is \(9x^{6}\)
What is Indices?Indices are the power or exponent which is raised to a number or a variable. It shows the number of times a given number has to be multiplied. It says that a particular number (or base) is to be multiplied by itself, the number of times equal to the index raised to it.
How to determine this
Using the rule of Indices,
An index in the form of a fraction can be represented as the radical form.
\(a^{x/y} = y\sqrt{a} ^{x}\)
\((27x^9)^{2/3}\)
= \(\sqrt[3]{(27x^{9} } )^{2}\)
Open bracket,
= \(\sqrt[3]{27^{2}x^{9*2} }\)
= \(\sqrt[3]{729x^{18} }\)
Using the rule again
\(a^{x/y} = y\sqrt{a} ^{x}\)
= \(729x^{1/3} * x^{18 * 1/3}\)
= \(\sqrt[3]{729} * x^{6}\)
= \(9 * x^{6}\)
= \(9x^{6}\)
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In the accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC, BD, and DEB?
Answer:
m(arc AC) = 72°
m(arc BD) = 108°
m∠DEB = 90°
Step-by-step explanation:
Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8
Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°
By the property of ratio,
Measure of arc AC = \(\frac{4}{4+2+6+8}\times (360^0)\)
= \(\frac{4\times 360}{20}\)
= 72°
Measure of arc BD = \(\frac{6}{4+2+6+8}\times (360^0)\)
= \(\frac{6\times 360}{20}\)
= 108°
Measure of ∠DEB = \(\frac{1}{2}m(arcAC + arc BD)\)
= \(\frac{1}{2}(72+108)\)
= 90°
The rate in the portion formula is not always expressed with a percent symbol?
That's correct. The rate in the portion formula can be expressed as a decimal, fraction, or percentage, depending on the context and what is most convenient for the problem being solved.
What is the proportional and ratio formula?How do you calculate ratio and proportion? Ans: The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.
What does a ratio example look like?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 1 out of 4 are boys, and 3/ 4 are girls.
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find the volume of the figure
Answer:
Step-by-step explanation:
base area=41.57 in²
height=9 in
volume=41.57×9=374.13 in³
HELP 25 Points CALC multiple choice
ANSWER THIS WITH EXACT SOLUTION!.
Two ladders are leaning against a wall as shown, making the same angle with the ground. The longer ladder reaches 40 feet up the wall. How far up the wall does the short ladder reach?
for example, l is the length of short ladder we want to find
Make a comparison
ladder/wall height = ladder/wall height
l/20 = 50/40
l/20 = 5/4
l = 5/4 × 20
l = 100/4
l = 25
The short ladder is 25 ft
Therefore, The short ladder is 25 ft
===================================
\( \large \sf \underline{Problem:}\)
Two ladders are leaning against a wall as shown, making the same angle with the ground. The longer ladder reaches 40 feet up the wall. How far up the wall does the short ladder reach?===================================
\( \large \sf \underline{Answer:}\)
\(\huge \sf \qquad \quad{ 16 \: feet }\)
===================================
\( \large \sf \underline{Solution:}\)
Setting up the equation, establish the best proportion.
\( \large : \implies\qquad\large \sf\dfrac{x}{40} =\large\sf \dfrac{20}{50} \)
Solving the equation, setting up the ratios and then cross multiply.
\( \qquad\large \sf\dfrac{x}{40} = \large \sf \dfrac{20}{50} \)\( \qquad\large \sf{(x)(50 \: ) = } \large \sf {(20)(40)}\)\( \qquad\large \sf{50x \: = 800 }\)\( \qquad\large \sf\dfrac{50x}{50} = \large \sf\dfrac{800}{50} \)\( \qquad\large \sf{ \underline{ \underline{\pmb {x \: = \: 16 }}}}\)Hence, the short ladder reach the wall up to 16 feet.
===================================
Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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Please help!!!!!! If the measure of angle 8 is 35 what is the measure of angle 4?
Answer:
It will also be 35
Step-by-step explanation:
Answer:
Measure of angle 4 will also be 35°.
REASON: Corresponding angles are congruent.
ABCD is a rhombus. The measure of angle <1 = 58°
true
or
false
Answer:
False
Step-by-step explanation:
In a rhombus, the diagonals are always perpendicular.
What is the lateral surface area of a right hexagonal prism whose base is a regular hexagon with sides measuring 8 inches long and altitude measuring 6 inches tall?
Answer:
288 square inches
Step-by-step explanation:
Assuming your "altitude" is the height of the prism--the distance between bases, the lateral area is the sum of the areas of the six rectangular faces. Each of those has an area of ...
(8 in)(6 in) = 48 in^2
so the 6 of them will have an area of ...
lateral area = 6×48 in^2 = 288 in^2
_____
Comment on nomenclature
'Altitude' is usually associated with the height of a triangle. In the case of a regular polygon, the 'altitude' of a triangular section of the polygon is called the 'apothem', and is often designated using the letter 'a'. If the polygon is regular, the apothem can be calculated from the side length and the number of sides, but it is often given in problems involving area, perimeter, and/or volume.
The distance between the parallel bases of a prism is often referred to as the prism height or length. The use of the word 'altitude' is confusing in this case.
Since the lateral area is the product of the perimeter of the base and the distance between bases, we have to assume that your 'altitude' refers to the distance between bases. Otherwise, there is not sufficient information to work the problem.
a diver dove to a location 6 3/5 meters below sea level. He then dove to a second location 8 1/5 meters below sea level. How many meters are there between the two locations?
Answer:
\(1\frac{3}{5}\) meter is the difference in depths of locations diver dove.
Step-by-step explanation:
The graph of a quadratic function with vertex (0, 3) is shown in the figure below.
The domain of the function is (-∞, ∞.)
The range of the function is {3, ∞}.
We have,
From the given quadratic function,
We see that,
The x-values are -∞ to ∞
The y-values are from 3 to ∞
Now,
The x-values are called the domain.
The y-values are called the range.
Thus,
The domain of the function is (-∞, ∞.)
The range of the function is {3, ∞}.
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