The z-probability for the condition -0.78 ≤ z ≤ 1.16 is 66%.
What is a z-score?
A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
It is given that
-0.78 ≤ z ≤ 1.16
We have to find the p-value corresponding to -0.78 ≤ z ≤ 1.16.
This means, p(-0.78 ≤ z ≤ 1.16)
p(0.78≤ z ≤1.16) can be written as p(z ≤ 1.16) - p(z ≤ -0.78)
p(0.78≤ z ≤1.16) = p(z ≤ 1.16) - (1-p(z ≤ 0.78))
p(0.78≤ z ≤1.16) = p(z ≤ 1.16) -1 + p(z ≤ 0.78)
From the standard normal table,
p(z ≤ 1.16)=0.87698
p(z ≤ 0.78)=0.78230
So, p(0.78≤ z ≤1.16)= 0.87698-1+0.78230
p(0.78≤ z ≤1.16) = 0.65928≈0.66 i.e 66%
Therefore, the z-probability for the condition -0.78 ≤ z ≤ 1.16 is 66%.
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Answer:
66%
Step-by-step explanation:
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What is 10,274 - 100,000
Answer:
_89,726
Step-by-step explanation:
This would be a negative answer in less you mean 100,000 - 10,274.
This would be negative because 10,000 per say can't subtract 100,000 in less it goes on the negative side.
But if you meant 100,0000-10,274 it is the same answer just with no nefative sign
Hope this heos have a great day
What is the radius of a circle with an area of 50. 24 square inches? Use 3. 14 for pi. Enter your answer in the box.
Answer:
4
Step-by-step explanation:
area of circle= pi*r^2
so lets make an equation50.24=3.14*x^2
first divide50.24/3.14=16
50.24/3.14= x^2
now simplify16=x^2
4=x
Solve 3x - 6 > 8 using inverse operations
Answer:
x > 14/3
Step-by-step explanation:
3x > 8 + 6
3x > 14
x > 14/3
Answer:
x > 14/3
Step-by-step explanation:
[tex]3x-6 > 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x > \frac{14}{3}\:\\ \:\mathrm{Decimal:}&\:x > 4.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(\frac{14}{3},\:\infty \:\right)\end{bmatrix}[/tex]
[tex]\mathrm{Add\:}6\mathrm{\:to\:both\:sides}[/tex]
[tex]3x-6+6 > 8+6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3x > 14[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
[tex]\frac{3x}{3} > \frac{14}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x > \frac{14}{3}[/tex]
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The percentage of sales tax is 6%. What is the sales tax on a skateboard that costs $98?
Answer:
$5.88
Step-by-step explanation:
Step 1: Multiply 6 by 98.
6 × 98588Step 2: Divide 588 by 100.
588 ÷ 1005.88Therefore, the sales tax price is $5.88.
Answer:
I believe it would be $5.88
Order from greatest to least -8 -4.75 -0.9 -.25
Answer:
-.25,-0.9,-4.75,-8
Step-by-step explanation:
sorry if im wrong
Answer:
1. -0.25
2. -0.9
3. -4.75
4. -8
Step-by-step explanation:
expand and simplify x(x-4)(x-1)
Answer:
x^3 - 5x^2 +4x
Step-by-step explanation:
x(x-4)(x-1)
(x^2-4x)(x-1)
x^3-x^2-4x^2+4x
simplify
x^3-5x^2+4x
Answer:
Expand:
This is in its expanded form.
Simplify:
First do the x and the (x-4)
distribute the x
(x^2-4x)
Then FOIL or draw you grid and multiply out.
x^2 times x = x^3
x^2 times -1 = -x^2
-4x times x = -4x^2
-4x times -1 = 4x
Combine like terms.
x^3 + (-4x^2 -x^2) + 4x
Answer : x^3 - 5x^2 + 4x
Can you please help me solve this???
Answer:
(5, 4)
Step-by-step explanation:
Use the formula at the top of the page:
(x, y)⇒(y, -x)
So, in this case, x = -4 and y = 5.
Use the formula, and you get:
(-4, 5)⇒(5, 4) ------ A negative number with a minus in front of it becomes a positive number.
Please help me plsssss
express the product of 2x^2+7x-10 and x+5 in standard form
Answer:
2x³+17x²+25x-50
Step-by-step explanation:
Standard Form: All your numbers and variables in order of the highest exponent.
(2x²+7x-10)(x+5)
We want to distribute x and 5 to every single value.
2x³+7x²-10x+10x²+35x-50
Simplify.
2x³+17x²+25x-50
This is standard form because the highest values are on the left (x³ is larger than x²).
Which expressions are equivalent
Find the length of AB
Answer:
D
Step-by-step explanation:
calculate AB using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (4, 2 ) and (x₂, y₂ ) = B (9, 10 )
AB = [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]
= [tex]\sqrt{5^2+8^2}[/tex]
= [tex]\sqrt{25+64}[/tex]
= [tex]\sqrt{89}[/tex]
≈ 9.4 units ( to 1 dec. place )
Answer:
[tex]D:\:about\:9.4\:units[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2 }[/tex]
[tex]AB =[/tex] [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]
[tex]=\sqrt{5^2+8^2}[/tex]
[tex]=\sqrt{25+64}[/tex]
[tex]=\sqrt{89}[/tex]
[tex]9.4\:\:units\:[/tex]
John paid $150 for renting a boat for 5 hours. Which graph shows the relationship between the cost of renting a boat for different hours?
A. ✰ A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,15 and 2,30 and 3,45.
B. ✰ A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,150 and 2,150 and 3,150.
C. ✰ A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,30 and 2,60 and 3,90.
D. ✰ A graph is shown. The title of the graph is Boat Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 30, 60, 90, 120, 150, 180. Points are plotted on the ordered pairs 1,60 and 2,120 and 3,180.
⋆ 20 points
⋆ Brainliest
Apologies if its hard to understand 3
Answer:
C
Step-by-step explanation:
150/5 would equate to 30, which would mean that the proportional relationship between the hours (x) and the amount of money per hour (y,30) would be represented as 30x
50 pointsss tysm nnnnnn
Answer:
1 batch of sky blue paint:
blue paint = 2 cupswhite paint = 1 gallonClare can make 2 batches of sky blue paint by multiplying the components by 2:
2 batches of sky blue paint:
blue paint = 2 × 2 = 4 cupswhite paint = 1 × 2 = 2 gallonsSo she will need 4 cups of blue paint and 2 gallons of white paint to make 2 batches of sky blue paint.
To make a mixture that is a darker shade of blue, increase the proportion of blue paint and reduce the proportion of white paint.
To make a mixture that is a lighter shade of blue, increase the proportion of white paint and reduce the proportion of blue paint.
Find the length of the second leg of the triangle round to the nearest hundredth
Answer:
[tex]\displaystyle \frac{3\sqrt{230}}{5}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b[/tex]
So, you have this:
[tex]\displaystyle 9,1 ≈ b[/tex]
I am joyous to assist you at any time.
Write the phrase as an expression. Then evaluate the expression when x=2 . 8 more than a number x An expression is . The value of the expression is .
Providing Brainliest when I can <3
Answer:
2) Difference of two squares
3) Perfect square trinomial
Step-by-step explanation:
Hope it helps you in your learning process.
Solve the quadratic equation by completing the square.
x^2+ 4x -3=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
104 term in sequence -4,-1,2,5
ARITHMETIC SEQUENCE
an = a1 + (n-1)d
.
The formula above is used to get the nth term of an arithmetic sequence, but we can also use it to know the number of terms (n).
.
Given:
a1 = 4
d = a2 - a1 = 1 - 4 = -3
an = -29
n = ?
.
Solution:
an = a1 + (n-1)d
-29 = 4 + (n-1)-3
-29 = 4 + (-3n + 3)
-29 = -3n + 7
-29 - 7 = -3n
-36 = -3n
-36/-3 = -3n/-3
12 = n
.
Therefore, -29 is the 12th term of the arithmetic sequence 4, 1, -2, -5, ...
104(th) term in sequence -4, -1, 2, 5 would be 305.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is to find 104(th) term in sequence -4, -1, 2, 5.
The sequence given is a arithmetic progression. We can write the function for nth term as -
a{n} = a + (n - 1)d
a{104) = - 4 + 103 x 3
a{104} = - 4 + 309
a{104} = 305
Therefore, 104(th) term in sequence -4, -1, 2, 5 would be 305.
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I need helpppppppppppppppp
Answer:
b 60 -4x 50 +2x=2,800 is 50 +. 2x
If continuous random variable X is normally distributed, with µ = 8.7 and σ = 3.9, what is P(X > 14)?
12.30%
87.70%
91.31%
8.69%
Answer:
I believe it is number 3.
why is this the answer? PLEASE HELP
Answer:
[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]
Step-by-step explanation:
area of sector, A:
[tex]A = \dfrac{n}{360^\circ}\pi r^2[/tex]
n = measure of the central angle of the sector in degrees
r = radius of circle
Here we have n = 240°, and r = 16 ft.
[tex]A = \dfrac{240^\circ}{360^\circ}\pi \times (16~ft)^2[/tex]
[tex] A = \dfrac{2}{3}\pi \times 256~ft^2 [/tex]
[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]
In the figure, j∥k and m∠1 = 63°.
What is the m∠4?
Enter your answer in the box.
°
Line t diagonally crossing parallel lines j and k (reading from top to bottom). Angles formed by t crossing j are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by t crossing k are labeled five through eight, starting at top right and going counterclockwise.
Answer: 117
Step-by-step explanation:
Answer: 117
Step-by-step explanation: K12 Quiz, The answer above is correct.
(3 4.1. A book is bought for R 50 and sold for R80.What is the percentage profit? unntmont?
Answer:60%
R80-R50=R30
R30/R50*100%=60%
Step-by-step explanation:
A cylinder has a height of 11 meters and a volume of approximately 1243 cubic feet. What is the height of a cone with the same volume and radius as the cylinder?
Answer:
Step-by-step explanation:
Comment
There is a short cut to this and we might just as well use it. Start by writing the general formulas for the volume of a cylinder and the volume of the cone
Equation
V_cylinder = pi * r^2 * h
V_Cone = (1/3) pi * r^2 * h1
Solution
The volumes are equal, so the right sides must be equal as well
pi * r^2 * h = (1/3)*pi * r^2 * h1 Divide both sides by pi
r^2 * h = (1/3) * r^2 * h1 Divide both sides by r^2
h = (1/3) * h1 Multiply both sides by 3
3*h = h1 h = 11 (given)
3*11 = h1
33 = h1
Answer: the cone's height = 33 meters.
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 25 inches, and the length of the base is 20 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Check the picture below.
The perimeter of the given triangle is 73.8 inches.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
The length of the altitude is 25 inches, and the length of the base is 20 inches.
Using the Pythagoras theorem, to find the hypotenuse of the triangle :
Hypotenus = √(25² + (20/2)²)
Hypotenus = √(625+ 100) = √725= 26.9 inches
The perimeter of a triangle :
(base + side 1 + side 2) = (20 + 26.9 + 26.9 ) = 73.8 inches
Therefore, the perimeter of the triangle is 73.8 inches.
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Find 20% of 75:please help
Answer:
hi its 15
Step-by-step explanation:
20% as a decimal is 0.20
0.20 x 75 is 15
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2x+5y=0
3x-4y=23
solve the following simultaneous equation
Answer:
[tex]x = 5[/tex], [tex]y = -2[/tex]
Step-by-step explanation:
[tex]2x + 5y = 0[/tex]
[tex]3x - 4y = 23[/tex]
By using substitution:
[tex]2x + 5y = 0[/tex]
[tex]2x = -5y[/tex]
[tex]x = -\frac{5}{2}y[/tex]
[tex]3x - 4y = 23[/tex]
[tex]3 (-\frac{5}{2} y) - 4y = 23[/tex]
[tex]-\frac{23}{2} y = 23[/tex]
[tex]y = -2[/tex]
[tex]x = -\frac{5}{2} y[/tex]
[tex]x = -\frac{5}{2} (-2)[/tex]
[tex]x = 5[/tex]
Correct Answer = Brainliest <3
Answer:
[tex]( x + 15)(x-15)[/tex]
Step-by-step explanation:
[tex]x^2-225[/tex]
[tex]\mathrm{Rewrite\:}225\mathrm{\:as\:}15^2[/tex]
[tex]=x^2-15^2[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]x^2-15^2=\left(x+15\right)\left(x-15\right)[/tex]
[tex]\mathrm{\left(x+15\right)\left(x-15\right)}[/tex]
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Find the measures of the numbered angles in rhombus ABCD .
look for all four measures numbered in the photo
Answer:
<1=54, <2=36, <3=90, <4=36
Step-by-step explanation:
in the rhombus shown, there are 4 congruent right triangles because the disgonals of a rhombus are perpendicular and the sides of a rhombus are congruent. We already know that the larger acute angles are all 54 degrees and we can use triangle sum to find that the smaller acute angles are all 36 degrees. Obviously the right angles are 90 degrees, so we can look at the picture and find the marked angles.
If the rise is 6 and the run is 2, what is the slope?
4
3
8
-3
Answer:
3
Step-by-step explanation:
[tex]\frac{rise}{run} =\frac{6}{2}=3[/tex]
Hope this helps!
The slope is [tex]\frac{rise}{run} =\frac{6}{2} =3[/tex]
Thus the slope is 3.