This [tex]\rm P(Z\geq 1.7)[/tex] is equivalent to [tex]\rm 1-P(Z\leq 1.7)[/tex]
It is given that the [tex]\rm P(Z\geq 1.7)[/tex]
It is required to find which statement is equivalent to [tex]\rm P(Z\geq 1.7)[/tex]
The statements are:
[tex]a) \ \rm P(Z\geq -1.7)\\b) \ \rm 1-P(Z\geq -1.7)\\c) \ \rm P(Z\leq 1.7)\\d) \ \rm 1-P(Z\leq 1.7)[/tex]
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
We have the [tex]\rm P(Z\geq 1.7)[/tex]
We know that:
[tex]\rm P(Z\leq a)=P(Z\geq -a)\\\rm P(Z\geq a)=P(Z\leq -a)[/tex]
If we compare statement (a) and statement (c), we will see these options are not equivalent to [tex]\rm P(Z\geq 1.7)[/tex]
For statement (b) if we plot the graph for the given statement we will get the negative area of the bell curve hence it is also incorrect.
For statement (d) if we plot the graph for the given statement we will get the positive area which is equivalent to the [tex]\rm P(Z\geq 1.7)[/tex]
Thus, the [tex]\rm P(Z\geq 1.7)[/tex] is equivalent to [tex]\rm 1-P(Z\leq 1.7)[/tex]
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Which number is the smallest?
A. 817.9
B. 871.003
C. 817.1
D. 817.099
Answer:
D.
Step-by-step explanation:
817.099 is the smallest
please give brainliest
What is the value of x? The figure is not drawn to scale. Show work
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
What is probability distribution?Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.
Probability distribution score: 1, 2, 3, 4, x probability: p(x) 0.06, 0.20, 0.48, 0.26In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.
Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
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Answer:
C on edge
Step-by-step explanation:
3
For exercises 4–9, find the value of x. round to the nearest tenth.[
Answer:
Step-by-step explanation:
where is exercise 4-9?
or at least give us the equation
Find volume of rectangular prism shown here. 1.5 cm 2cm 8cm
Answer:
24 cm³
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the area of the base by the height. V=lwh. V=(1.5)(2)(8)=24 cm³
Answer:
the answer should be 24
Step-by-step explanation:
1.5 x 2 = 3
3 x 8 = 24
V = L x W x H
V = 1.5 x 2 x 8
Solve. k + 6 > 19
A.
k < - 13
B.
k > 25
C.
k > 13
D.
k < - 25
Answer:
k > 13
Step-by-step explanation:
[tex]k+6 > 19\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k > 13\:\\ \:\mathrm{Interval\:Notation:}&\:\left(13,\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]k+6-6 > 19-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]k > 13[/tex]
Thus, the answer is k > 13
[RevyBreeze]
What are the prime numbers between 2010 and 2020
Answer: 99%
Step-by-step explanation:
I don’t really understand this please help me.
Answer:
Top question) 12
Bottom question) 16
Step-by-step explanation:
top) you can fit 6 in the bottom of a 3x2 box if the smaller boxes are only 1 cubic foot and since it's also 2 feet high you can also fit another 6 which in total equals 12.
bottom) you can fit 8, 1 cubic foot boxes, in a larger box thats 4x2 and since it's also two feet tall you can fit another 8 in making 16 fitting in the larger box
Hope this helps! pls mark brainliest
Mayrin has rectangular rug with an area of 36 square feet. The area is represented by the equation f(x)= x2 + 5x – 36 and this rug is 5 feet longer than it is wide. What are the dimensions of the rug?
Answer:
B) width = 4 ft
length = 9 ft
Step-by-step explanation:
Area = 36 ft²
Let width = x
⇒ length = x + 5
Area of a rectangle = width × length
⇒ 36 = x(x + 5)
⇒ x² + 5x - 36 = 0
⇒ x² + 9x - 4x - 36 = 0
⇒ (x² + 9x) + (-4x - 36) = 0
⇒ x(x + 9) - 4(x + 9) = 0
⇒ (x + 9)(x - 4) = 0
⇒ x = -9, x = 4
As distance is positive, x = 4 only
Therefore,
width = x = 4 ft
length = x + 5 = 4 + 5 = 9 ft
A square is cut in half and the diagonal creating two equal triangles of each triangle has an area of 4.5 in.² what is the length in inches of the original square
Put the following items in order from most expensive to least expensive. Item Base Price Change Direction Blender $29. 73 9% Markdown Hat $14. 16 77% Markup Ink $20. 17 27% Markup Heater $28. 46 22% Markdown a. Blender, heater, ink, hat b. Blender, ink, hat, heater c. Ink, hat, blender, heater d. Ink, heater, blender, hat.
Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
What is Markup and Markdown?Markup is the amount that will be increased in the original price of the considered thing.
Markdown is the amount that will be decreased from the original price of the considered thing.
Think of "up" and "down" as increasing and decreasing prices respectively.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, the base prices and the chage in price is given as:
Item Base Price Change Direction
Blender $29.73 9% Markdown
Hat $14.16 77% Markup
Ink $20.17 27% Markup
Heater $28.46 22% Markdown
Calculating the resultant price:
Case 1: Blender:Resultant price = 29.73 - 9% of 29.73
[tex]P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}[/tex]
Case 2: Hat:Resultant price = 14.16 + 77% of 14.16
[tex]P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}[/tex]
Case 3: Ink:Resultant price = 20.17 + 27% of 20.17
[tex]P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}[/tex]
Case 4: Heater:Resultant price = 28.46 - 22% of 28.46
[tex]P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}[/tex]
Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater
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Which answers describe the shape below? Check all that apply.
A. Square
B. Trapezoid
C. Quadrilateral
D. Parallelogram
E. Rhombus
F. Rectangle
Answer:
The answers are C, D, and F
Step-by-step explanation:
Which expression is equivalent to 6(3h + g) ?
Group of answer choices
9h + g
18h + 6g
9h + 6g
18h + g
Answer:
18h × 6g is equivalent to 6(3h + g)
because 6 x 3 = 18 and 6 x 1 = 6
Mia and Carlos are hiking on a trail where they start 16 miles apart. If Mia can average 2.3 miles per hour while hiking and Carlos can average 2.5 miles per hour. How long will it take for them to meet up?
Answer:
I'm not sure but if this is on a calculus paper, this may put you on the right track?
Step-by-step explanation:
definate integral from 2.3 to 2.5 would equal 3.2, i don't know what to do with that information but i hope that helps you.
PLEASE PLEADE HELP!!
Hello and Good Morning/Afternoon:
Let's take this step-by-step:
By looking at this diagram:
[tex]\hookrightarrow \text {angle C is 45 degrees, angle A is 90 degrees}[/tex]
[tex]\hookrightarrow \text{We know that the sum of all the angles is 180 degrees in a triangle}[/tex]
[tex]a + b + c = 180\\90 + b + 45 = 180\\b + 135 = 180\\b = 45[/tex]
[tex]\hookrightarrow \text {Therefore angle B is also 45 degrees}[/tex]
With all these angles' measures:
⇒ we have a 45-45-90 triangle
⇒ which has some special properties (look at the diagram attached)
Based on the diagram:
[tex]\hookrightarrow \text{the longest side/ hypotenuse (BC)} = \text{ length of leg (AC)} * \sqrt{2} =14\sqrt{2}[/tex]
Answer: [tex]14\sqrt{2}[/tex]
Hope that helps!
#LearnwithBrainly
I need help on this question I’m confused I think a &b are the same and c &d are different but I’m not to sure !
====================================================
Reason:
[tex]2^6[/tex] means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say
[tex]2^6 = (2*2*2)*(2*2*2)[/tex]
The parenthesis are optional, but I find they're handy to count the '2's easier.
----------------
Now notice that
[tex]2^3 = 2*2*2[/tex]
So,
[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\[/tex]
The last step is possible because we have two copies of [tex]2^3[/tex] multiplied together.
This shows that choice C is equivalent to A and B.
-------------------
Lastly,
[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\[/tex]
The jump to the last step is possible because we have three copies of [tex]2^2[/tex] multiplied together.
This shows choice D is equivalent to the others.
All four expressions are the same.
They represent different ways to say the same number. That number being 64.
The volume of this rectangular prism is 72 in³. What is the missing measurement for c?
What is the length of the shipping carton?
Enter your answer in the box.
c = in
[tex]\huge\fbox\purple{ANSWER} [/tex]
[tex] \mathsf\pink{v = l \times w \times h}[/tex]
[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]
[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]
[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]
[tex] \mathsf \pink{6in = c}[/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
➣Given➣shipping carton basically shape is rectangular prism type➣its volume (shipping carton)=72in²➣its height =3in➣its width = 4in➣ assumption :- length "c"[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Let's substitute values according to given info[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Hence "c" (length) of Rectangular prism (shipping carton) is
[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]
Hope it helps !
Five less than 3 times a number is 2.
Answer:
1
Step-by-step explanation:
5-3x=2
5-3(1)=2
2+3=5
Answer:
1
Step-by-step explanation:
5-3•_=2
The only number that would fit in this equation is 1.
if a:b =2:3 write b as a fraction of a
Answer:
given ,
[tex]\fbox{a:b = 2:3}[/tex]
According to Question ,
we've to write b as a fraction of a.
thus , we know that
[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]
now to represent b as a fraction of a ,
we'll have to consider the ratio as b : a
which means ,
[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]
_____________________________
_____________________________
hope helpful :D
Answer:
b = [tex]\frac{3}{2}[/tex] a
Step-by-step explanation:
express the ratios in fractional form
[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2b = 3a ( divide both sides by 2 )
b = [tex]\frac{3}{2}[/tex] a
HELP PLS I BEGGING :=))))))))
Answer:
28 inches
Step-by-step explanation:
[tex]P = 2(l+w)[/tex]
[tex]P=2(9+5)[/tex]
[tex]P=2(14)[/tex]
[tex]P=28[/tex]
Solve and show your work for each question.
(a) What is expressed as a fraction in simplest form?
(b) What is expressed as a fraction in simplest form?
(c) What is expressed as a fraction in simplest form?
The value of 0.36 when converted to a fraction in the simplest form is 9/25.
How to calculate fractions in simplest form?Your information is incomplete. Therefore, an overview will be given. It should be noted that a fraction is in its simplest form when the numerator and denominator are prime.
From example, let's convert 0.36 to a fraction on its simplest form. This will be:
0.36 = 36/100 = 9/25
In conclusion, 0.36 is 9/25 in the simplest form.
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What is the volume of a sphere with a diameter of 7.5 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
V≈220.89cm³
Step-by-step explanation:
Answer: 220.9
4/3 π(3.75)^3=220.9
find the sum of first 40 terms of 11+14+17+...
Answer:
S₄₀ = 2780
Step-by-step explanation:
there is a common difference between consecutive terms in the sequence, that is
14 - 11 = 17 - 14 = 3
this indicates the sequence is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 11 and d = 3 , then
S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]
= 20( 22 + 117)
= 20 × 139
= 2780
A four sided sandbox has exactly 2 right angles to side lengths 5 feet what geometric shape as described shape of the sandbox
Answer:
The sandbox is most likely in the shape of a kite. As it has only two right angles, it cannot be a square or other form of rectangle. It also cannot be a parallelogram, which has no right angles, nor is it a rhombus- all four sides are not of the same length.
A kite, however, has two pairs of equal-length sides that are adjacent to each other. It also has two sets of equal-measure angles, one of which can be 90° if it is a cyclic kite.
please help: Simplify 6÷(4-2)+4
Answer:
7
Step-by-step explanation:
6/(2)+4
3+4
7(BODMAS)
But if you use calculator it we give you
5
Part A: The area of a square is (16a² - 24a + 9) square units. Determine the length of each side of the square by factoring the area expression completely Show your work
Part B: The area of a rectangle is (9a² - 25b²) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work
A:
16a^2-24a+9
16a^2-12a-12a+9
4a(4a-3)-3(4a-3)
(4a-3)(4a-3)
(4a-3)^2
(4a-3)^2
B: Use difference of squares method
(3a+5b)(3a−5b)
Part A: The length of each side of the square is (4a - 3) units.
Part B: The dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).
Part A:
The area of a square is given by the formula A = s^2, where "s" is the length of each side of the square. In this case, the area is (16a² - 24a + 9) square units.
To determine the length of each side of the square, we need to factor the area expression completely and set it equal to (s^2).
The area expression is a quadratic trinomial: 16a² - 24a + 9.
To factor the trinomial, we look for two binomials that, when multiplied together, give us the original trinomial. The binomials will have the form: (ma ± b)(na ± c).
To factor 16a² - 24a + 9, we look for two numbers whose product is 16 * 9 = 144, and whose sum is -24 (the middle coefficient).
The two numbers are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.
Now, rewrite the middle term (-24a) using -12a - 12a:
16a² - 12a - 12a + 9
Group the terms and factor by grouping:
(16a² - 12a) - (12a - 9)
Now, factor out the greatest common factor (GCF) from each group:
4a(4a - 3) - 3(4a - 3)
Now, notice that we have a common binomial factor of (4a - 3):
(4a - 3)(4a - 3)
Since both binomials are the same, we can rewrite it as (4a - 3)^2.
Now, set (4a - 3)^2 equal to (s^2):
(4a - 3)^2 = s^2
To find the length of each side (s), take the square root of both sides:
√((4a - 3)^2) = √(s^2)
4a - 3 = s
Therefore, the length of each side of the square is (4a - 3) units.
Part B:
The area of a rectangle is given by the formula A = length * width. In this case, the area is (9a² - 25b²) square units.
To determine the dimensions of the rectangle, we need to factor the area expression completely and identify the length and width.
The area expression is a difference of squares: 9a² - 25b².
To factor a difference of squares, we use the formula: a² - b² = (a + b)(a - b).
In this case, a = 3a and b = 5b:
9a² - 25b² = (3a + 5b)(3a - 5b)
Therefore, the dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).
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Miranda is calculating her expected expenses for her week long trip to turkey. her flight costs 928 tl (turkish lira), her lodging costs 755 tl, and she has allowed 814 tl for food and spending money. what is miranda’s total? a. 4,762 tl b. 2,497 tl c. 869 tl d. 641 tl
The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of this expenses,
Miranda's Total
= cost of flight + lodging costs + cost of food and other spending
= 928 ti + 755 ti + 814 ti
= 2497 ti
Hence, Miranda's total will be equal to 2497 Turkish lira.
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Answer: b. 2,497 TL
<3
So I have this question here, can someone please help me?
Answer:
Use tan trig ratio:
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where [tex]\theta[/tex] is the angle, O is the side opposite the angle, and A is the side adjacent the angle
Given:
[tex]\theta[/tex] = 39°O = 10[tex]x[/tex] = ASubstituting these values into the formula:
[tex]\implies \tan(39)=\dfrac{10}{x}[/tex]
Multiplying both sides by [tex]x[/tex]:
[tex]\implies x\tan(39)=10[/tex]
Dividing both sides by [tex]\tan(39)[/tex] :
[tex]\implies x=\dfrac{10}{\tan(39)}[/tex]
[tex]\implies x=12.34897157...[/tex]
[tex]\implies x=12.3 \ \textsf{(nearest tenth)}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan51=\dfrac{x}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=10tan51[/tex]
[tex]\\ \rm\rightarrowtail x=10(1.2348971565350)[/tex]
[tex]\\ \rm\rightarrowtail x=12.348971565350[/tex]
simplify 10 to the square root
Answer: 10
Step-by-step explanation: that is the answer because you can not simplify it any further
What is the product of 1.0 x 102 and 1.8 x 103 expressed in scientific notation?
Answer:
[tex]1.8 \text{ x } 10^5[/tex]
Step-by-step explanation:
Hello!
To multiply terms, we multiply the like terms.
Like terms:
Like terms are terms with the same degree or base. In this example, 1 and 1.8 are like terms by degree, and 10² and 10³ are like by base.
Multiply:
(1 x 10²)(1.8 x 10³)(1 x 1.8)(10² x 10³) --> exponeent rule: a^b * a^c = a^(b+c)1.8 x 10^5That's your solution! 1.8 x 10^5