Answer:
The probability of Dan making less than $255 is 0.5987 or 59.87%
Step-by-step explanation:
Given that:
Mean = μ = $240
SD = σ = $60
We have to find the probability that Dan will make less than $255
First of all, we have to find the z-score of 255
z-score is denoted by z and is given by the formula
[tex]z = \frac{x-mean}{SD}[/tex]
Here,
x = 255
Putting the values
[tex]z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]
Now we have to look at the z-score table to find the probability of 0.25
P(x<255) = 0.5987
Converting into percentage
59.87%
Hence,
The probability of Dan making less than $255 is 0.5987 or 59.87%
I need help bad I will mark you as king or what every pkz get it right I can’t get it right plz help
Answer:
d=6c it looks like. good luck
RIGHT TRIANGLES & TRIGONOMETRY MATH
TOMMOROW DUE PLZZZ
Answer:
sin d= 20/29
cos d= 21/29
tan d= 20/21
sin e= 21/29
cos e= 20/29
tan e= 21/20
7) x=47 (25tan(62))
8) x=25.1 (11/sin(26))
9) x=23.8 (32sin(48))
10) x=29.6 (29/cos(12))
11) x=21 degrees (invcos(14/15))
12) x=39.6 degrees (invtan(19/23))
13) x=58 degrees (invcos(9/17))
14) x=72.9 degrees (invsin43/45))
Step-by-step explanation:
good luck m8 it gets harder trust me
also srry if something is wrong im so exhausted thxbye
An athlete's target heart rate, in beats per minute, is $80\%$ of the theoretical maximum heart rate. The maximum heart rate is found by subtracting the athlete's age, in years, from 220. To the nearest whole number, what is the target heart rate of an athlete who is 26 years old
Answer:
155
Step-by-step explanation:
Since the question states that;
Maximum heart rate= 220 - athletes age
If athletes age = 26 years
Maximum heart rate= 220 - 26 = 194
Again;
athlete's target heart rate= 80% × Maximum heart rate
Athlete's target heart rate= 0.8 × 194= 155
A student survey asked: "How tall are you (in inches)?" Here's the data:
67, 72, 73, 60, 65, 86, 72, 69, 74
Give the five-number summary.
A. 60, 67, 72, 73, 74
B.0, 60, 70. 89. 74, 100
C. Median 73 mean: 70.89, interquartile range (IQR): 5, min: 60, max: 74
D. 60, 66, 72. 73.5. 86
Answer:
a
Step-by-step explanation:
an open top box with a square base and a volume of 4m^3 is to be constructed what should the dimensions of the box be to minimize the surface area of the box?
Answer:
Dimensions of the box:
x = 1,26 ( the side of the square base )
h = 2,52 the heigh of the cube
Step-by-step explanation:
V(b) = x² *h x is the side of the square base, and h the heigh of the cube
The surface area of such cube is:
Area of the base A(b) = x²
Lateral area is 4*x*h
A(c) = x² + 4*x*h
Now x² * h = v = 4 m³ ⇒ h = 4/x² and
A(x) = x² + 4/x
Tacking derivatives on both side of the equation:
A´(x) = 2*x - 4/x²
A´(x) = 0 2*x - 4/x² = 0 ⇒ 2*x³ - 4 = 0
x³ = 2
x = 1,26 m
And h = 4/(1,26)² ⇒ h = 2,52 m
How do we know the value of x = 1,26 is for a minimum value of A(x)
We find the second derivative of A(x)
A´´(x) = 2 - (-4*2*x/x⁴)
A´´(x) = 2 + 8/x³ is positive A´´(x) > 0
Then function A(x) has a minimum value at x = 1,26
The solution of 4(x + 1) = 4(2 – x)
4x+4=8-4x
4x+4x=8-4
8x=4
x=4/8
x=1/2
Step-by-step explanation:
4x+4=8-4x
4x+4+(4x)=8-4x+(4x)
8x+4-(4)=8-(4)
8x÷(8)=4÷(8)
x=0.5 or 1/2
Given a point A(-3,-14, it is dilated by some scale
factor to A' (-9,-3). If the same dilation is applied
to B(-1,-5), what are the coordinates of B'?
The question was rewritten because it has an obvious mistype.
Answer:
The coordinates of B' are (-3,-15)
Step-by-step explanation:
We are given the point A(-3,-1) and we know it was dilated to the point A'(-9,-3) by some scale factor.
The scale factor can be found by dividing each coordinate of A' by the same coordinate of A. Let's call the factor as k:
k = -9/(-3) = 3
k = -3/(-1) = 3
Thus the scale factor is 3.
If we apply the same factor to B(-1,-5), we get the coordinates of B' as:
B'( 3*(-1) , 3*(-5) ) = B'(-3,-15)
The coordinates of B' are (-3,-15)
2. Sandra has earned 284 out of 300 points in Math class. What grade did Sandra
make in her math class? (Round your answer to the nearest whole percent)
Answer:
95%
Step-by-step explanation:
300/284 = 0.946666... rounded the the whole percent is 95%
300 * 95% = 285
Number of doctors and lawyers asked whether they prefer to watch medical dramas or court dramas on TV according to the table below the percent of a lawyer surveyed preferred medical dramas
Answer:
Although doctor-centric dramas can be entertaining, they're usually filled with a number of inaccurate portrayals of the medical field.
To see where which popular shows get the details right and which ones are loaded with problems, Insider consulted with real doctors and nurses.
Here's how the experts really feel about popular medical shows.
Note: The Entertainment Value and Medical Accuracy scores on each slide are the averages of the scores (out of 10) that the experts provided for each show.
Step-by-step explanation:
please mark me as brainlest answer hope this helps
A bag contains 100 marbles. Some are blue, and the rest are white. There are 24 blue
marbles for every 1 white marble. How many blue marbles are in the bag?
Explain your reasoning.
Answer:
there would be 96 blue marbles and 4 white ones
Step-by-step explanation:
theres 100 marbles. every 24 marbles is 1 white marble. 24+1=25 25×4=100 24×4=96 1×4=4
Answer:
96 blue
Step-by-step explanation:
There are 24 blue for every 1 white so
24+1 = 25 blue marbles
25x4 = 100 or the total amount
100(total)-4 (white)
= 96 blue marbles
If F(x)= logx, which statement best describes the transformation (0.5(x-3)) + 12
The following shape is a rhombus. Find the measure of each unknown angle:
90
52
38
46
72
Answer:
63 42
53
53
52
Jdjdjdjfh
Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.
By using property - 1,
m∠APD = m∠DPC = m∠BPC = m∠APB = 90°
Apply triangle sum theorem in ΔAPD,
m∠DAP + m∠APD + m∠DPA = 180°
52° + 90°+ m∠DPA = 180°
m∠DPA = 38°
By using property - 3,
m∠PDC = m∠DPA = 38°
m∠PAB = 52°
By using property - 2,
m∠ADC + m∠DCB = 180°
2(38°) + m∠DCB = 180°
m∠DCB = 104°
Therefore, m∠PCD = m∠PCB = [tex]\frac{104}{2}[/tex] = 52°
m∠DAP = m∠BAP = 52°
Since, m∠ADC = m∠ABC = 76°
Therefore, mABP = m∠CBP = [tex]\frac{76}{2}=38^\circ[/tex]
Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.
Learn more about rhombus here,
https://brainly.com/question/11812488?referrer=searchResults
An electrician charges a $100 flat fee, plus $75 per hour to work on a house.
Answer:
y=75x+100
Step-by-step explanation:
I NEED HELP ASAP
Which equation represents the situation below?
Bry's account was overdrawn by $11.85, so he deposited $11.85 into his account.
A.
(-11.85) + (-11.85) = 0
B.
(-11.85) – 11.85 = 0
C.
11.85 – (-11.85) = 0
D.
(-11.85) + 11.85 = 0
Answer:
D
Step-by-step explanation:
overdrawn = =negative so -11.85+11.85 or option D
Hope this helps plz hit the crown ;D
Rank in Oder 4/9,2/3,7/12,5/6
Answer:
The sorted inputs in order from least to greatest is:
4/9 < 7/12 < 2/3 < 5/6
Step-by-step explanation:
Using the given inputs:
4/9,2/3,7/12,5/6
The least common denominator (LCD) is: 36
Rewriting as equivalent fractions with the LCD:
4/9, 2/3, 7/12, 5/6
16/36, 24/36, 21/36, 30/36
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
4/9 7/12 2/3 5/6
16/36 < 21/36 < 24/36 < 30/36
Therefore, the sorted inputs in order from least to greatest is:
4/9 < 7/12 < 2/3 < 5/6
The point (5,0) is a solution of 3 x - y > 4.
true or false ?
Answer:
false
Step-by-step explanation:
its not correct
A class has average height of 68 inches and a standard division of 2 inches what height do you need to be taller than 90% of the class please round your answer to the nearest thousandth.
Answer:
65.426
Step-by-step explanation:
Given that:
Mean height (m) = 68 inches
Standard deviation (s) = 2 inches
Height required to be taller than 90% of the class :
P(Z > x) = 0.9
The corresponding Zscore is - 1.282 (Z probability calculator)
Using the Zscore relation :
Zscore = (x - m) / s
-1.282 = (x - 68) / 2
-1.282 * 2 = x - 68
-2.564 = x - 68
-2.564 + 68 = x
x = 65.436
I dont understand this problem
Answer:
64 ; 8
Step-by-step explanation:
a² ± 2ab + b² = (a ± b)²
x² + 2(8)(x) + 8² =
x² + 16x + 64 =
(x + 8)²
Can some one help me plz
Answer:
1b
1
Step-by-step explanation:
Select the statement that indicates that the triangles in each pair are congruent. 50 points
Answer:
C) ΔEFG ≅ΔLMN
Step-by-step explanation:
C) ΔEFG ≅ΔLMN
At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. How much would the sales tax be on a $88 meal?
What's this? I don't know
Answer:
it's a quadratic formula
Step-by-step explanation:
in the formula, substitute the value of a as 1, b as 2 and c as -8
then, you will get ur answer
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -2.674°C.
P ( Z > −2.674) = ???
Answer:
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.
Step-by-step explanation:
Z is the standard normal random variable. The table value for Z is the value of the cumulative normal distribution. For example, the value for 1.96 is P(Z<1.96) = . 9750.
Please help. First correct answer I’ll mark as brainliest
Answer:
AA similarity, triangle CBA is congruent to triangle CST
Step-by-step explanation:
angle ACB and angle TCS are congruent by the vertical angles theorem
The picture marks that angle B and angle S is congruent
since 2 angles are congruent, the triangles are similar by the AA similarity
The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity for the giraffe.
Answer:
Giraffe = 10
Guinea Pig = 4
Tiger = 16
Step-by-step explanation:
G GP T = 30
----------------------------------------------------------
X X-6 (X-6)*4
-----------------------------------------------------------
9 3 12 = 24
----------------------------------------------------------
10 4 16 = 30 ✅
----------------------------------------------------------
Please help me I don’t understand.
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tiles has a length 1/2 inch and width 1/6 inch. The actual tiles have a length 1/3 ft and width 1/9 ft. What is the area of a tile in the model to the area of the actual tile?
Answer:
1 : 64
Step-by-step explanation:
Model:
1/2 in * 1/6 in = 1/12 in^2
Real:
1/3 ft * 1/9 ft = 1/3 * 12 in * 1/9 * 12 in = 16/3 in^2
model : real
1/12 / 16/3 = 1/12 * 3/16 = 3/192 = 1/64
model : real = 1 : 64
Seven pounds of grapes cost $10.43. How much would 4 pounds cost?
Answer:
5.96
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation: (-3,-2) y=x+2
Given :
A point ( -3 , -2 ).
An equation of a line, y = x + 2.
To Find :
An equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.
Solution :
Let, equation of new line is :
y = mx + c ....1)
Here, m and c are slope and intercept respectively.
We know, product of slope of two line is -1 :
m( 1 ) = -1
m = -1
It is also given that point ( -3,-2 ) passes through this point.
Putting value of this point and slope in equation 1), we get :
[tex]-2 = (-1)\times ( -3 ) + c\\\\c = -2 -3\\\\c = -5[/tex]
Therefore, the equation of line is : y = -x -5 .
Sales of video games and consoles fell from $1.15million to $1.03 million in 1 year. Find the percent decrease. Round the answer to the nearest tenth of a percent.
Answer:
Percent decrease = 10.43% (Approx)
Step-by-step explanation:
Given:
Old price = $1.15 million
New price = $1.03 million
Find:
Percent decrease
Computation:
Percent decrease = [(Old price - new price)/Old price]100
Percent decrease = [($1.15 million - $1.03 million)/$1.15 million]100
Percent decrease = [($0.12 million)/$1.15 million]100
Percent decrease = 10.43% (Approx)
25 35 47
17 5 61
11 72 ??
Answer:
There is no pattern to it.
Step-by-step explanation: