Answer:
About 84% of the people have test scores that make them eligible to be interviewed
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 55, \sigma = 12[/tex]
A state agency will only interview applicants with test scores of 43 or greater. About what percent of the people have test scores that make them eligible to be interviewed?
This is 1 subtracted by the pvalue of Z when X = 43. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{43 - 55}{12}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
1 - 0.1587 = 0.8413
Rounding to the nearest percent
About 84% of the people have test scores that make them eligible to be interviewed
Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. A 2-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries negative 2, 1.3, 4.2, 7.3, 8.9. What is the residual value when x = 4?
Answer:
The residual value when x = 4 is 0.58
Step-by-step explanation:
The residual value of a fitted function is the difference between the actual value of the data for a given input and the result of the fitted function. On this problem for the actual values, when [tex]x = 4[/tex] we have [tex]y_{data} = 7.3[/tex] , although, for the fitted function on the same value of "x", we have a different value, which is calculated below:
[tex]y(4) = 2.78*4 - 4.4 = 6.72[/tex]
The residual value is:
[tex]\text{residual value} = y_{data} - y_{function} = 7.3 - 6.72 = 0.58[/tex]
The residual value when x = 4 is 0.58
Functions are written in terms of variables. The residual value when the value of x is 4 is 0.58
Table and valuesFunctions are written in terms of variables. Given the following function that represent the data in the table
y = 2.78x – 4.4
If the value of x is 4, the corresponding value of y is expressed as:
y = 2.78(4) – 4.4
y = 11.12 - 4.4
y = 6.72
Determine the residual value
Residual value = 7.3 - 6.72
Residual value = 0.58
Hence the residual value when the value of x is 4 is 0.58
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When the boat has traveled 7 meters, the height
of the barnacle is approximately:
-1 m
-0.657 m
0.657 m
1 m
Answer:
-0.544m
Step-by-step explanation:
The height of the barnacle is approximately is, 0.657 meters.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Graph y = sin(x)
Boat travel= 7m
Now,
Let y be the height of the barnacle and x be the distance the boat has traveled
i.e, x = 7 meters
to find the height y :
Substitute the value of x =7 meters in [1] we have;
y = sin(7)
≈0.657.
Therefore, by algebra the answer will be 0.657 meters.
More about the Algebra link is given below.
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What is the total surface area of this prism?
Answer:
Step-by-step explanation:
let us calculate area of pentagon.
it consists of 5 isosceles triangles with base=5 cm
apothem h=3.6 cm
area of pentagon=5×1/2×5×3.6≈45 cm
area of 2 pentagons (top and bottom)=2×45=90 cm²
lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²
Total surface area=90+300=390 cm²
An equivalent expression for sin x is?
(please answer with steps)
Answer:
b
Step-by-step explanation:
Using the trigonometric identity
sin2x = 2sinxcosx
That is the angle on the right side is half the angle on the left, thus
sinΘ = 2sin([tex]\frac{1}{2}[/tex] Θ )cos([tex]\frac{1}{2}[/tex]Θ ) → b
Which is the graph of g(x) = 2x – 1 + 3? On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0, negative 2) On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7). On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, negative 1).
The graph of g(x) is an exponential function that crosses the y-axis at y = 3.5, and a horizontal asymptote at y = 3.5
The function is given as:
[tex]g(x) = 2^{x - 1} + 3[/tex]
Set x = 0, to calculate the y-intercept
[tex]g(0) = 2^{0-1} + 3[/tex]
Simplify the exponent
[tex]g(0) = 2^{-1} + 3[/tex]
Express 2^-1 as decimal
[tex]g(0) =0.5 + 3[/tex]
Add 0.5 and 3
[tex]g(0) =3.5[/tex]
This means that the graph of g(x) is an exponential function that crosses the y-axis at y = 3.5
Also, the graph of g(x) has a horizontal asymptote at y = 3.5
Read more about exponential graphs at:
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Answer:
3 graph
Step-by-step explanation:
PLEASE HURRY IM TIMED ASAP WILL MARK BRAINLIEST
Which of the following are solutions to x > 5? (Check all that apply.)
8
5.2
5
0
6.7
82
Answer:
8,5.2,6.7,82 sorry i had to hurry up
Answer:
8
5.2
6.7
82
Step-by-step explanation:
all that are bigger than 5
(would really, reallly appreciate the brainliest)
Solve the following equations.
28÷x+4=11
Answer:
x=-28/3
28/x=1-4
28/x=-3
28=-3x
-28/3=x
switch them around and that's your answer.
Answer:
x = 4
Step-by-step explanation:
28÷x+4=11
28/x + 4 = 11
Subtract 4 from each side
28÷x+4-4=11-4
28 / x = 7
Multiply each side by x
28/x * x = 7x
28 = 7x
Divide each side by 7
28/7 = 7x/7
4 =x
what is the smallest prime that is a factor of the sum 51+ 1?
Answer:
the smallest prime factor of 52 is 2
Step-by-step explanation:
What is the smallest prime that is a factor of 52?
52 = 4*13, or 52 = 2*2*13. So the smallest prime factor of 52 is 2.
1. John is building a miniature model of a building on campus. The dimensions of
the building are 95 ft x 80 ft x 30 ft. The model is 1/10th the dimensions of the
building. Sketch the model, then find the volume of the model.
Answer:
228 ft^2
Step-by-step explanation:
1/10 of the given dimensions are 9.5 ft by 8 ft by 3 ft.
The volume of the model is thus (9.5 ft)(8 ft)(3 ft) = 228 ft^2
Solve the following inequality:
-5.3 > 1 – 2(-5x - 1)
Answer:
Submit Answers
Answer:
X< -1.26
Step-by-step explanation:
Combine like terms and solve like any other two step equations
Answer:
X< -1.26
Step-by-step explanation:
What is the solution to this equation?
х
5
= 30
O A. x= 35
B. x= 25
C. x = 150
O D. x = 6
Answer:
D
Step-by-step explanation:
if u said 5x=30 then its D
Answer:D
Step-by-step explanation:6 x 5 equals 30
I need help with this question please.
Answer:
30 degrees.
Step-by-step explanation:
Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.
The wheel has 12 "handles." We can use these as reference points when rotating the image.
We also know that we can rotate by a total of 360 degrees. We can say that:
360/12 = 30 degrees.
Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.
I hope this helps!
Which expression represents a rational number?
StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot
Pi + StartRoot 16 EndRoot
StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot
StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot
Answer:
[tex]\frac{2}{7}+\sqrt{121}[/tex]
Step-by-step explanation:
Given: expressions
To find: expression that denotes a rational number
Solution:
A number of the form [tex]\frac{p}{q}[/tex] where p and q are integers and [tex]q\neq 0[/tex] is said to be a rational number.
Sum of a rational and irrational number is irrational.
In [tex]\frac{5}{9}+\sqrt{18}[/tex], [tex]\frac{5}{9}[/tex] is a rational number and [tex]\sqrt{18}[/tex] is an irrational number
So, [tex]\frac{5}{9}+\sqrt{18}[/tex] is not a rational number.
In [tex]\pi+\sqrt{16}=\pi+4[/tex], [tex]\pi[/tex] is an irrational number and 4 is a rational number
So, [tex]\pi+\sqrt{16}[/tex] is not a rational number.
In [tex]\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}[/tex], [tex]\frac{79}{7}[/tex] is a rational number
So, [tex]\frac{2}{7}+\sqrt{121}[/tex] is a rational number
In [tex]\frac{3}{10}+\sqrt{11}[/tex], [tex]\frac{3}{10}[/tex] is a rational number and [tex]\sqrt{11}[/tex] is an irrational number
So, [tex]\frac{3}{10}+\sqrt{11}[/tex] is not a rational number.
Answer:
2 / 7 + 12
Step-by-step explanation:
he is right i just took the test i just wanna help more ..
evaluate h-2g for h = 4 and g =32
Answer:
60
Step-by-step explanation:
To solve the answer, we must subsutute h for 4 and g for 32 and solve like shown:
[tex]4-(2)(32)\\4-64\\60[/tex]
Answer:
Step-by-step explanation:
h=4
g=32
2*32=64
h-2g= -60
question is attached
Answer:
31
Step-by-step explanation:
The two angles are equal so
8x-1 = 5x+11
Subtract 5x from each side
8x-5x-1 = 5x-5x+11
3x -1 =11
Add 1 to each side
3x -1+1 = 11+1
3x = 12
Divide by 3
3x/3 = 12/3
x= 4
We want to find
WZY
WZY = 5x+11
= 5(4)+11
=20+11
=31
4x3 + 10x² - 6x?
Completely factored
Answer:
2x( 2x-1) (x+3)
Step-by-step explanation:
4x^3 + 10x² - 6x
Factor out 2x
2x( 2x^2 +5x -3)
Factor inside the parentheses
2x( 2x-1) (x+3)
Answer:
2x(2x-1)(x+3)
Step-by-step explanation:
4x³ + 10x² - 6x
4x³ = 2x²×(2x)10x² = 5x×(2x)6x = 3×(2x)here 2x is a common factor then we can pull it out:
4x3 + 10x² - 6x = 2x²×(2x) + 5x×(2x) - 3×(2x)
= 2x(2x² + 5x - 3)
= 2x(2x-1)(x+3)
2x² + 5x - 3 = (2x-1)(x+3) , here you can use the quadratic formula to find the roots.
Can someone please help me please only do if you know how to do geometry thank you thank you thank you
Answer:
AAA would be the answer
Step-by-step explanation:
The answer would be AAA because they both have equal angles. 90 and 45. Because they are vertical angles, where they intersect at S is also an congruent angle. Angle U is congruent to angle Q and so on.
Answer:
AAA
Step-by-step explanation:
it’s due at 9am please help whoever helps first gets a brainliest and everyone gets a thank you
Answer:
Step-by-step explanation:
10) 4x+12
11) 7x+28
12)2x+16
13)9x+54
14)3x+33
15) 5x+35
16) 6x+24
17)8x+72
18) 4x+20
Luca is designing a propeller system that consists of 3 blades, each of which is identical. The blades are sectors of a circle that have radii of 4 inches and central angles of 20 . The blades are to be made from steel that weighs 16 grams per square inch. Determine the weight of the three blades together to the nearest gram.
Answer:
Total weight of blades = ~134gm
Step-by-step explanation:
Radius of circle, [tex]r[/tex] = 4 inches
Central angle of sector = [tex]20^\circ[/tex]
For finding the weight of blades, we need to find the area of blades.
Area of circle, A = [tex]\pi r^{2}[/tex]
We know that circle has a central angle of [tex]360^\circ[/tex].
We can use unitary method to find the area of sector with angle [tex]20^\circ[/tex].
Area of [tex]360^\circ[/tex] central angle = [tex]\pi r^{2}[/tex]
Area of [tex]1^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2}[/tex]
Area of [tex]20^\circ[/tex] central angle = [tex]\dfrac{\pi}{360} r^{2} \times 20[/tex]
Putting value of r = 4 inches
Area of blade:
[tex]\dfrac{\pi}{360} \times 4^{2} \times 20\\\Rightarrow 2.79\ in^{2}[/tex]
We have 3 blades here, so area of 3 blades =
[tex]2.79 \times 3\\\Rightarrow 8.38\ in^{2}[/tex]
Weight of steel = 16 grams per square inch
Total weight of all 3 blades = 16 [tex]\times[/tex] 8.38 = ~ 134gm
In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.
Answer:
Try this solution, it consists of two parts (MN=8).
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish
Step-by-step explanation:
So make the variables.
Hungarian = x
Polish = y
x and y are the amount of time she spent in minutes.
x + y = 5
150x + 270 = 190y
x = 5 - y
750 - 150y + 270 = 190y
1020 = 340y
y = 3
x = 2
WILL GIVE BRAINLIEST ANSWER TO WHOEVER IS ABLE TO FULLY AND CORRECTLY ANSWER THIS QUESTION. Consider and trapezoid in the following image and use them to answer the questions below. is a right triangle and trapezoid is isosceles. Do NOT use the law of cosines, use our knowledge from the content of this course. a. Describe how to find the lengths of segments and . Show your answers for this question. Explain how you can be confident your calculations are correct. b. Describe how to find the angle measures of and . Explain how you can be confident your calculations are correct. c. Are there any segments or angles you can’t calculate based solely on the information in the image? Why? d. If we drew a median into trapezoid and the given measurement of that median was 21.425, would that change your answer for part c of this question?
This is an isosceles trapezoid, because the two angles are supplementary on the right side.
y is 25 based on the Pythagorean theorem
w is sqrt (850)=29.15
z must be 15
Making a right triangle to look at the altitude
cos 59=a/15, so a is 7.73 between the right corner and the edge of x
That means x is 29.15-2(7.73)=13.69
=============
The median should be half way between 13.69 and 29.15
That is half their sum, or half of 42.84 or 21.42
That doesn't change the answer above
Once I know the trapezoid is isosceles, the angles at the base have to be 59d and the angles at the top 121d.
please mark brainliest!
ANSWER ASAP Choice 1 Choice 2 Choice 3 Choice 4
Answer: a, -1/2x-6=y
Step-by-step explanation:
in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts. give your answer in the form 1:n
Answer:
The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4
Step-by-step explanation:
The parameters given are;
Proportion of the box of chocolates that contain nuts = 1/5
Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5
Therefore, we have in a box of chocolates with five chocolates;
The number of chocolates that contain nuts = 1
The number of chocolates that do not contain nuts = 4
Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.
Pls answer. i will mark u as branliest
Answer:
120°
Step-by-step explanation:
you can divide the shape into 4 triangles
each triangle is 180°
180 x 4 = 720
720 divided by the number of angles (6) is 120
Answer:
120
Step-by-step explanation:
360/3=120
On a coordinate plane, a triangle has points R (negative 3, 4), T (negative 1, negative 4), and S (negative 4, negative 2). What are the coordinates of the image of vertex R after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)
Answer:
(3,4)
Step-by-step explanation:
if the original is (-3,4) and its a reflection over a vertical line that's the y-axis, the x would become opposite, which would mean -3 becoming 3.
Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)
Images that are reflected are mirror images of each other. The coordinate (x, y) reflected over the y-axis will have the resulting coordinate at (-x, y).
Note that reflecting over the y-axis negates the x-coordinate point while the y-coordinate stays the same.
Given the coordinate of vertex R(-3, 4). If reflected over the y-axis, the resulting coordinate will be (3, 4)
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ACORDING OT THE IMAGE, WHATS THE ANSWER????
HURRY 30 POINTS BRAINLIEST!!!
Answer:
231 cubed centimeters
Step-by-step explanation:
Find the area of the base of the pyramid
18 x 7=126 divided by 2= 63 cm
Next, make sure to the remember the formula is [tex]V=\frac{1}{3} BH[/tex]
1/3(63)(11)=
21(11)=231
231 cubed centimeters is the answer.
Answer:
231 cubed centimeters
Step-by-step explanation:
The formula:
1/3(63)(11)=
21(11)=231
How to estimate 55 percent of 64?
Answer: 35.2
Step-by-step explanation: To estimate 55 percent of 64, you could round the 55 to 50 percent, and just find half of 64, which is 32. After this, because you only have 5 percent left over, you can take the number you got from 50% of 64 and move the decimal over one place to make it 3.2. Just add that number to 32 and you’ll get your answer.
Need help !!! If f(x) = 3x+10 and g(x) = 5x-3,find (f+g)(x)
Answer:
8x+7
Step-by-step explanation:
Use the given functions to set up and simplify
(f+g)(x)
Answer:
8x + 7
Step-by-step explanation:
(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7
solve it (3+2) ^2 -7 =
Answer:
18
Step-by-step explanation:
PEMDAS
(3+2)=5
5^2=25
25-7=18
