The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)
How to determine the expression?To calculate the probability between two z-scores is to calculate the area between the z-scores.
This is done using the following syntax:
normalcdf(lower bound, upper bound)
From the question, the lower and the upper z-scores are -0.18 and 1.99
So, the formula would be normalcdf(-0.18, 1.99)
Hence, the expression is (d)
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Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.
For an experiment, Marie brought a container filled with 30 grams of snow into a warm environment. After 5 minutes, 21% of the snow had melted. How many grams of snow were remaining in the container after the 5 minutes?
A line passes through the points -6,4 and -2,2 which is the equation of the line
Answer:
y = -1/2x + 1
Step-by-step explanation:
Step 1: Find slope
m = (2-4)/(-2+6) = 1/2
Step 2: Find y-intercept
y = -1/2x + b
2 = -1/2(-2) + b
2 = 1 + b
b = 1
Step 3: Write it all together
y = -1/2x + 1
And we have our final answer!
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 greens?
Answer:
The answer would be just about 61% or 9/14
Step-by-step explanation:
So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.
The probability of getting 2 greens is 5/31
Probability is the likelihood or chance that an event will occur. It is expressed as:
Probability = Expected outcome/Total outcome
Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:
Total outcome = 4 + 3 + 5 = 12ballsIf green is picked at first, the probability of selecting a green is 5/12
If the second marble is picked and not replaced, the probabiity that it is green is 4/11 (4 greens remaining)The probability of getting 2 greens = 5/12 × 4/11
The probability of getting 2 greens = 20/132
The probability of getting 2 greens = 5/31
Hence the probability of getting 2 greens is 5/31
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You are given the function C(x)=−4x2+4x+3 Find C(−1). Provide your answer below: C(−1)=
Hey there! :)
Answer:
C(-1) = -5.
Step-by-step explanation:
C(x) = -4x² + 4x + 3
Plug in -1 for x to solve for C(-1):
C(-1) = -4(-1)² + 4(-1) + 3
Simplify:
C(-1) = -4 + (-4) + 3
C(-1) = -5
Answer:
C(-1)= -5
Step-by-step explanation:
This question asks us to find C(-1). We know what C(x) is, it is:
[tex]C(x)=-4x^{2} +4x+3[/tex]
Therefore, we must substitute -1 in for every x to find C(-1).
[tex]C(-1)=-4(-1)^{2} +4(-1)+3[/tex]
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, evaluate the exponent.
-1^2=-1*-1=1
[tex]C(-1)=-4(1) +4(-1)+3[/tex]
Next, multiply -4 and 1.
[tex]C(-1)=-4+4(-1)+3[/tex]
Multiply 4 and -1 again.
[tex]C(-1)=-4+ -4 + 3[/tex]
Add the numbers together.
[tex]C(-1)=-8+3[/tex]
[tex]C(-1)=-5[/tex]
help me i cant do it its too hard
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Step 1: Multiply 2 together
1/3(3/5) = 3/15
Step 2: Multiply again
3/15(9/4) = 27/40
Step 3: Simplify
(Divide both top/bottom by 2)
27/2 = 9
40/2 = 20
9/20
Classify the triangle by its angles. answers: A) Obtuse triangle B) Acute triangle C) Right triangle D) Equilateral triangle
Answer:
B) Acute triangle
Step-by-step explanation:
In acute triangles, all of the angles are less than 90°. This is true for this triangle :)
I hope this helps!!
Answer:
B) Acute triangle
Step-by-step explanation:
All the angles are less than 90 degrees so all the angles are acute
Help !!!!! What are the polar coordinates
[tex]\left(3,\,\frac{\big\pi}3\right)[/tex]
A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president. What is the binomial coefficient of this study? Write the answer as a number, like this: 42.
Answer:
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Step-by-step explanation:
Step(i):-
Given data the researcher has obtained data that states that 45% of citizens are in favor of the president
probability of success 'p' = 45% or 0.45
q = 1-0.45 = 0.55
Given random sample size 'n' = 8
Let 'X' be the random variable
let 'X' = 6
[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]
[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]
P( X=6) = 28 × 0.00830 ×0.3025
P( X=6) = 0.070
Conclusion:-
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Answer:
28
Step-by-step explanation:
Can somebody help me with this. Do you add the 15 to the 2y or subtract it.
Answer:
4
Step-by-step explanation:
[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]
Hope this helps!
Which rational expression has a value of 1 when x =-1?
The rational expression that has a value of 1 when x =-1 would be; D 2x²/ (x + 3).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
We need to determine the expression that has a value of 1 when x =-1
Let's consider the rational expression of the option D;
2x²/ (x + 3)
Now substitute the value x = -1 in the given expression
2x²/ (x + 3)
2(-1)²/ (-1 + 3)
= 2/ 2
= 1
Hence, the required rational expression is D 2x²/ (x + 3).
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Determine the value of the missing exterior angle. options: A) 104° B) 256° C) 72° D) 92°
answer: X would equal 104
Step-by-step explanation:
you would first find the interior angle for the other 2 exterior angles this would lead for the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X
Missing exterior angle is 104°.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In the figure
Measure of exterior angles = 92°, 164°, x°
Sum of exterior angles of triangle is 360°
92° + 164° + x° = 360°
256° + x° = 360°
x° = 360° - 256°
x° = 104°
Hence, 104° is the measure of the missing exterior angle.
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GO
Solve:
10
= 2
a. x = 5
B. x = 10
C. X = 20
d. x = 15
Please select the best answer from the choices provided
Answer:
the answer is C:x=20 I used a calculator
plz help find the equation of the circle
Answer:
[tex](x-2)^2+(y+4)^2=34[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:
[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]
The equation of the circle is therefore:
[tex](x-2)^2+(y+4)^2=34[/tex]
Hope this helps!
Help please and thank you
Answer:
73.72 ft Squared
Step-by-step explanation:
First you need to find the area of the rectangle the area of rectangle is 8x10=80. Then You take that 80=3.14x2. then you find the area by dividing it. so...
1.) 80=3.14x2
3.14x2=6.28 80=6.28 (Then you divide 6.28 by 80)
80 80
What is the value of x?
Answer: 98 is your answer
Step-by-step explanation:
Divide using long division.
62 - 11y+
+15) = (y - 4)
What is the area of the shaded part of the circle that has a diameter of 8 mm? Use 3.14 for
4 mm
8 mm
O 16mm?
O 32mm?
O 34 24 mm
50.24 mm?
Answer: 34.27 sq. mm.
Step-by-step explanation:
Area of a triangle = hb / 2
= 8 x 4 / 2
= 32 / 2 = 16 mm
Area of the circle = πr^2
= π x 4^2
= 50 27 sq. mm.
Area of the shaded part
= 50.27 - 16
= 34.27 sq. mm
Answer: the answer is c, 34.24 mm
Step-by-step explanation: I just did the test
10 to the power of what is 0.1
Answer:
Brainleist!
Step-by-step explanation:
10^x = 0.1
x =log(0.1)
Decimal Form: x=−1
write down the size of angle ABC give a reason for your answer
Answer:
∠ ABC = 90°
Step-by-step explanation:
∠ ABC is the angle in a semi circle and is right, that is
∠ ABC = 90°
The angle of ABC is 90 degrees.
Using circle theorem,
The angle subtended by an arc at the centre is twice the angle subtended
at the circumference.
Therefore,
1 / 2 ∠O = ∠ABC
∠O = 180 (angle on a straight line)
Therefore,
∠ABC = 1 / 2 × 180
∠ABC = 180 / 2
∠ABC = 90°
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What are the coordinates of the image of R for a dilation with center (0,0) and scale factor 3?
Answer:
(3, -3)
Step-by-step explanation:
If a point is dilated about the origin rule to be followed,
(x, y) → (kx, ky)
where k is a scale factor by which the point is being dilated.
If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]
Therefore, coordinates of the image R' will be (3, -3)
I could use some more help
Answer:
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
If
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
then
[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So; 2A - 4B becomes
[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Hence, 2A - 4B is equivalent to
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
In the interval 0 degrees < x < 360 degrees, find the values of x for which cos x = 0.7252. Give your answers to the nearest degree.
Answer:
115° and 245°
Step-by-step explanation:
Given
cos x = - 0.4226
Since cos x < 0 then x is an angle in the second / third quadrants, thus
x = (0.4226) = 65° ← related acute angle , thus
x = 180° - 65° = 115° ← angle in second quadrant
x = 180° + 65° = 245° ← angle in third quadrant
Answer:
[tex]x=\{44\º, 317\º\}[/tex]
Step-by-step explanation:
The interval given is [tex](0, 360\º) \text{ or } (0, 2\pi)[/tex]
In exercises of this kind I usually use
[tex]\cos \left(x\right)=a\quad \Rightarrow \quad \:x=\arccos \left(a\right)+360\º n, n \in \mathbb{Z}[/tex]
[tex]\quad \:x=\arccos \left( 0.7252\right)+360\º n, n \in \mathbb{Z}[/tex]
And [tex]\arccos \left( 0.7252\right) \approx 43.5^{\circ \:}[/tex]
But once we have the solution for cos in two different quadrants, I mean, Quadrant I and Quadrant IV angle.
To the nearest degree, we have
[tex]x=\{44\º, 317\º\}[/tex]
Please answer this question ASAP
Find the volume ! Thanks
Answer:
Volume of cuboid = length × width × height
length = 20cm
width = 8cm
height = 15cm
Volume = 20cm × 8cm × 15cm
= 2400cm³
Volume of the cuboid is 2400cm²
Hope this helps.
Answer:
2,400cm³
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID= L×B×H
WHERE L IS LENGTH = 20cm
B IS BREADTH = 15cm
H IS HEIGHT=8cm
:• VOLUME= 20cm ×15cm × 8cm
= 2,400cm³
A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6, 7, 8, 10, 11, 14, and 15. Which histogram correctly shows the data set?
Answer:
Choice D
Step-by-step explanation:
After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.
Square ABCD has a side length of 12 centimeters . Find the area of the square Type a numerical answer in the space provided Do not include units or spaces in your answer
Answer:
144
Step-by-step explanation:
Area of a square is [tex]s^2[/tex]
The side length is 12 cm.
[tex]12^2=144[/tex]
Therefore, the area of the square is [tex]144 \: cm^2[/tex].
If f(x) = x2 and g(x) = 3x - 1 find [ gºf(x)
Answer:
gºf(x) = [tex]3x^2 -1[/tex]
Step-by-step explanation:
Given
f(x) = x2
g(x) = 3x - 1
To find
gºf(x)
To find gºf(x) we will use value of f(x) = [tex]x^2[/tex] in place of in g(x)
lets do that
g(x) = 3x - 1
gºf(x) = 3(f(x)) -1
gºf(x) = [tex]3x^2 -1[/tex]
Thus, value of gºf(x) is [tex]3x^2 -1[/tex].
Pls help me with this quick
Answer:
-9
y= x + 3
2
2
Step-by-step explanation:
its simple just follow my steps
Answer:
Step-by-step explanation:
[tex]g^{-1} (-3)=7\\[/tex]
let h(x)=y
y=2x-3
flip x and y
x=2y-3
2y=x+3
[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]
x/11 = -12
please help!!!
Answer:
x= -132
Step-by-step explanation:
Answer:
[tex]x=-132[/tex]
Step-by-step explanation:
[tex]\frac{x}{11}=-12\\ \\x=-12*11\\\\x=-132[/tex]