Answer:
length: 12m
width: 2m
Step-by-step explanation:
24 = a*w
a = w+10
then:
24 = (w+10)w
24 = w*w + 10*w
24 = w² + 10w
0 = w² + 10 - 24
w = {-10±√((10²)-(4*1*-24))} / (2*1)
w = {-10±√(100+96)} / 2
w = {-10±√196} / 2
w = {-10±14} / 2
only positive numbers:
w = {-10+14}/2
w = 4/2
w = 2m
a = w+10
a = 2 + 10
a = 12m
Check:
24 = 12*2
It is 185 miles to fort worth. If vang drives 2hours at 65 mph, how far will he be from fort worth?
Answer:
185-65÷2=120 that the answer
Answer:
55 miles
Step-by-step explanation:
d= 185 - 2*65
d=185 - 130
d= 55 miles
Solve the equation t/2+7=15
Answer:
15-7=8
8×2=16
t=16
.....
Answer:
t = 16
Step-by-step explanation:
t/2+7=15
Subtract 7 from each side
t/2 +7-7 = 15-7
t/2 = 8
Multiply each side by 2
t/2*2 = 8*2
t = 16
Determine the level of measurement of the variable. an officer's rank in the military Group of answer choices
Answer:
Ordinal
Step-by-step explanation:
Level of measurement used in statistics summarizes what statistical analysis that is possible. There exist three types of level of measurement. The nominal, ordinal and Interval/Ratio level of measurement. Here, our primary focus will be the Ordinal level of measurement.
Ordinal level of measurement indicates the position in a sequence. In the military sector, the officer's rank is said to be Ordinal. This implies that the ordinal level of measurement categorizes variables according to hierarchy or ranks with a meaningful order. Still, the intervals and differences between the variables may not be equal.
a population has a mean of 25 median of 24 and mode of 26 the standard deviation is 5 the value for the
Complete Question
A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.
Answer:
The value of the 16th percentile is [tex]x = 20[/tex]
The range for the middle 3 standard deviation is [tex]10 \to 40[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 25[/tex]
The median is [tex]m = 24[/tex]
The mode is [tex]n = 26[/tex]
The standard deviation is [tex]\sigma = 5[/tex]
Generally the 16th percentile is mathematically represented as
[tex]P(x)= P(\frac{X - \mu }{ \sigma } \le \frac{x- 25 }{5} ) = 0.16[/te
Generally [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )[/tex]
So
[tex]P(x) = P(Z \le \frac{ x - 25}{5} ) = 0.16[/tex]
Now from the normal distribution table the z-score of 0.16 is
z = -1
[tex]P(x) = P(Z \le \frac{ x - 25}{5} ) = P(Z \le -1 )[/tex]
=> [tex]\frac{x- 25}{5} = -1[/tex]
=> [tex]x- 25 = -5[/tex]
=> [tex]x = 25-5[/tex]
=> [tex]x = 20[/tex]
The range for the middle 3 standard deviation is mathematically represented
[tex]\mu - 3\sigma \to \mu + 3\sigma[/tex]
[tex]25 - 3(5 ) \to 25 + 3(5 )[/tex]
[tex]10 \to 40[/tex]
Data accumulated by the National Climatic Data Center shows that the average wind speed in miles per hour for St. Louis,Missouri, is 9.7. Suppose wind speed measurements are normally distributed for a given geographic location. If 22.45% of the time the wind speed measurements are more than 11.6 miles per hour, what is the standard deviation of wind speed in St. Louis?
Answer:
The value is [tex]\sigma = 8.5[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 9.7[/tex]
The proportion is [tex]P(X >x) = 0.2245[/tex]
The value considered is [tex]x = 11.6[/tex]
Generally given that the speed measurement is normally distributed we have that
[tex]P(X > 11.6) = P(\frac{ X - \mu }{ \sigma } > \frac{11.6 - 9.7}{ \sigma } ) = 0.2245[/tex]
Generally
[tex]\frac{X - \mu}{ \sigma } = Z(The \ z -score \ of \ X )[/tex]
[tex]P(X > 11.6) = P(Z> \frac{11.6 - 9.7}{ \sigma } ) = 0.2245[/tex]
Hence
[tex]\frac{ 11.6 - 9.7}{ \sigma} = 0.2245[/tex]
[tex]\sigma = 8.5[/tex]
Olivia deposited $2,136.70 into a saving account with an interest rate of 2.7% compounded quarterly. About how long will it take for the account to be worth $4,000?
Answer:
23.3 years
Step-by-step explanation:
4000 = 2136.7(1 + .027/4)^(4t)
4000 / 2136.7 = 1.00675^4t
ln (4000 / 2136.7) / ln 1.00675^4 = t
23.301690290541729158877031400229 = t
23.3 years
Answer:
23.26 years
Step-by-step explanation:
Use the compound interest formula:
A = P [tex]( 1 + \frac{r}{100n} )^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
P = $2,136.70
r = 2.7
n = 4
A = $4,000
Now we plug everything in and solve for t.
$4,000 = $2,136.70 [tex](1 + \frac{2.7}{100 * 4} )^{4t}[/tex]
$4,000 = $2,136.70 [tex](1 + .00675 ) ^{4t}[/tex]
$4,000 = $2,136.70[tex](1.00675)^{4t}[/tex] Divide each side by $2,136.70
$4,000/$2,136.70 = [tex](1.00675)^{4t}[/tex]
1.87 = [tex](1.00675)^{4t}[/tex]
log (1.87) = log [tex](1.00675)^{4t}[/tex]
log 1.87 = (4t) (log 1.00675) Divide each side by (log 1.00675)
[tex]\frac{log 1.87}{log 1.00675}[/tex] = 4t
93.044 = 4t Divide each side by 4.
93.044/4 = t
23.26 = t
23.26 years
What guides a researcher when deciding between using either linear, logistic, or Cox proportional hazards regression as an analysis tool
Answer:
The outcome variable type (continuous, binary, or time -to- event)
Explanation:
The outcome variable type is the type of variables involved in a research. The researcher would put the type of variable involved in his research into consideration in deciding what regression model to apply in his research. For example, if the type of variable in his research are continuous variables(continuous variables are variables that may be any value within a range and may be infinite), he would use linear regression
The outcome variable type for the particular analyses utilizing the regression model.
When determining a regression model that can be used in his experiment or investigation, perhaps the researcher needs to examine the type of classification concerned.Like, the numbers or scores a person receives on a test are the product of hard work assessed in the total hours spent studying and intellect evaluated in IQ, which has been independent factors.
Thus the response above is correct.
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The environmental science club is printing T-shirts for its 15 members. The printing company charges a certain amount for each shirt plus a setup fee of $20.
If the T-shirt order costs a total of $162.50, how much does the company charge for each shirt?
Answer:
x=9.5
Step-by-step explanation:
Let be the cost of each shirt. From the information provided in the problem, we can setup the following equation:
Solving for will give us the answer:
GG
A function is defined as, f (x) = -3x^2 + 2x - 5 what is f (-1)
Answer:
The value of f(-1) in the given equation is -10.
Step-by-step explanation:
When we see f(-1), it means that -1 is represented as our value of x. So, knowing this information, we can plug this into our given equation.
f(-1) = -3(-1)² + 2(-1) - 5
Simplify the exponent on -1.
f(-1) = -3(1) + 2(-1) - 5
Multiply -3 by 1.
f(-1) = -3 + 2(-1) - 5
Multiply 2 by -1.
f(-1) = -3 - 2 - 5
Subtract 2 from -3.
f(-1) = -5 - 5
Subtract 5 from -5.
f(-1) = -10
The function defined by [tex]f (x) = -3x^2 + 2x - 5[/tex] when x = -1 is -10
Given the function [tex]f (x) = -3x^2 + 2x - 5[/tex]
To get f(-1), we will substitute x = -1 into the function to have:
[tex]f (-1) = -3(-1)^2 + 2(-1) - 5 \\f(-1)=-3-2-5\\f(-1) =-10[/tex]
Hence the function defined by [tex]f (x) = -3x^2 + 2x - 5[/tex] when x = -1 is -10
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The area of a square mirror is 196 in. A rectangular
mirror has a width the same as the square mirror's
width. Its length is two inches longer than its width
What is the area of the rectangular mirror?
Answer:
rectangle=224 in^2
Step-by-step explanation:
the square is 14x14 coz the square root of 196=14
the rectangles length is 2 inches longer so its 14x16
14x16=224
Question 1 Create Triangle ABC by drawing AC AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?
The required angle m BAC = 45°.
In triangle ABC.
AC represents the foreman’s line of sight to the top of the landfill.
Landfill height is =BC
The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°
According to conditions angle b = 90°
The sum of angles of a triangle= 180°
That is a + b + c = 180
Therefore, c = a
a = (180 - b)/2
= (180 - 90) / 2
= 90 / 2
= 45 degrees.
Thus, the required angle m BAC = 45°
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Answer:
m BAC = 35°
Step-by-step explanation:
3(3a - 5b) - (a - 76)
Answer:
8a-15b+76
Step-by-step explanation:
that is the answer
how do you add integers with the same sing
Answer:
For example
-10+(-2)
=-10-2
=-12
Step-by-step explanation:
hope this helps you ☺️
If yes then do mark my answer as brainliest
Divide 3/12 divide 9
Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
Convert 3 1/2 to a mixed number. It should now look like this: 7/2Write out the new expression: [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{9}{1}[/tex] Multiply by the reciprocal of 9/1: [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{9}[/tex] = [tex]\frac{7}{18}[/tex]Answer:
7/18
Step-by-step explanation:
A school conducted a survey to find out which games students enjoy watching the most. The table below contains the results of the survey.
Answer:
33.33%
Step-by-step explanation:
There are a total of 102 students that enjoy watching soccer most.
Of those 102, 34 are middle school students; that makes the relative frequency 34/102 = 33.33%.
Answer:
33.33
Step-by-step explanation:
Find the distance between these points.
C(0, 4), T(-6, -3)
√(37)
√(109)
√(85)
Hey there! I'm happy to help!
To find the distance between two points, you find the difference between the y and x values, square them, add them, and then find the square root of that.
We subtract our y values.
-3-4=-7
And then our x values.
-6-9=-6
We square these values.
-7²=49
-6²=36
We add these.
49+36=85
And we find the square root, giving us √85.
Have a wonderful day! :D
Answer:
√85.
Hopefully this helps a bit, I don't really understand math much, but when I calculated, this is what I got:
Step-by-step explanation:
Subtract your y values.
-3-4=-7
And then your x values.
-6-9=-6
You square these values.
-7²=49
-6²=36
You add these.
49+36=85
And you find the square root, giving you √85
In the exam 45% students failed and 550 students were successful. The total number of students appeared in the exam.
Answer:
1000
Step-by-step explanation:
is angle 2 in the diagram and angle of elevation or an angle of depression
Answer:
Angle of elevation
Step-by-step explanation:
An angle measured from the horizontal upwards is an angle of elevation.
An angle measured from the horizontal downwards is an angle of depression.
∠ 2 is a measure from the horizontal upwards thus angle of elevation.
Note that ∠ 3 is an angle of depression
Todd is traveling to Mexico and needs to exchange $400, in US dollars, into Mexican pesos. If each dollar is worth 12.29 pesos, how many pesos will he get for his trip?
Answer:
4916 pesos
Step-by-step explanation:
What is the value of | - 61 - 161 - (- 6)?
what is (5x-2)(4x^2 -3x-2)
Answer:
20x^3-23X^2-4X+4
Step-by-step explanation:
ay = b - 2a
how do i solve this step by step?
Answer:
[tex]a = \frac{b}{2+ y}[/tex]
Step-by-step explanation:
Given
[tex]ay = b- 2a[/tex]
Required
Solve for a
[tex]ay = b- 2a[/tex]
Add 2a to both sides
[tex]2a + ay = b- 2a + 2a[/tex]
[tex]2a + ay = b[/tex]
Factorize
[tex]a(2 + y)= b[/tex]
Divide through by 2 + y
[tex]a = \frac{b}{2+ y}[/tex]
Answer:
a = b/(y + 2)
Step-by-step explanation:
Solve for a:
a y = b - 2 a
Hint: | Isolate a to the left hand side.
Add 2 a to both sides:
a (y + 2) = b
Hint: | Solve for a.
Divide both sides by y + 2:
Answer: a = b/(y + 2)
help me pleasee (and no I’m not gonna follow u if u ask just help)
Answer:
option B is correct -7 is the answer
Step-by-step explanation:
=4⁴-3³.(12-3)-20
=256-27×(9)-20
=256-243-20
=256-263
=-7
hope it will help ^_^
Answer:
[See Below]
Step-by-step explanation:
First you'll solve the parenthesis part:
* 12 - 3 = 9
Then Solve the exponents:
* 4^4 = 256 (4 x 4 x 4 x 4)
* 3^3 = 27 (3 x 3 x 3)
Rewrite:
* 256 - 27 x 9 - 20
Multiply:
* 27 x 9 = 243
Subtract:
* 256 - 243 = 13
* 13 - 20 = -7
So the answer would be B, -7
(Remember to use PEMDAS to solve)
Can anyone help me find the value pls?
The inside angle for B, which is labeled x is the same as the outside angle of D which is labeled as 72, so we know x = 72.
In a parallelogram two angles next to each other equal 180, so angle A and angle B equal 180.
We know B = 72, so A = 180-72 = 108
Angle A is divided in 2 by angle y, so y = 108/2 = 54
Answers: x = 72
Y = 54
Use the symbols to model the situation on the number line.
find the answer of 7x5, put a dot on the zero and go backwards from there till you reach 35 on the number line.
4b + 11 + 8b + 1 = 180
Answer:
b=14
Step-by-step explanation:
Add 4b and 8b, which you get 12b. Then you add 11 and 1 which you get 12.
12b + 12 = 180 is the next equation.
Afterwards, you subtract 12 from 180.
12b = 168
Divide 12b from 168.
b = 14
Find for B?
Mk in this equation
4b + 11 + 8b + 1 = 180
Subtract 11 and 1 from both sides
4b + 8b = 168
Combine unknowns
12b = 168
Find b by dividing by 12
Thus, B = 14
Hope this helps,
Jeron
P.S, if you found this really helpful, consider marking brainliest, (you don't have to btw)
For the following questions, solve for the missing rate, base or product (round to the nearest hundredth if needed): 25% of 320 is
Answer:
80
Step-by-step explanation:
let the unknown value be x.
[tex]\frac{25}{100}*320=x\\ \frac{25*320}{100}=x\\ \frac{8000}{100}=x\\ 80=x[/tex]
Answer:
[tex]\huge\boxed{80}[/tex]
Step-by-step explanation:
[tex]25 \% \ of \ 320[/tex]
% means out of hundred and of means to multiply.
=> [tex]\\\frac{25}{100} * 320\\[/tex]
=> 0.25 * 320
=> 80
Which symbols correctly relates the 2 numbers 55?35
Answer:
>
Step-by-step explanation:
55 is greater than 35, so the open "mouth" of the greater than sign should go towards 55.
Answer:
>
Step-by-step explanation:
a manned rocket accelerates at a rate of 20 m/s2 during launch How long does it take the rocket reach a velocity of 400 m/s?
Answer:
Step-by-step explanation:
acceleration, a = 20 m/s^2
initial velocity, u = 0 since it starts from rest
final velocity, v = 400 m/s
v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
t = 20 sec
Hope this helps
plz mark as brainliest!!!!
It will take 20 sec the rocket reach a velocity of 400 m/s
What are equations of motion?There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.
They are listed below as:
[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]
We are given that manned rocket accelerates at a rate of 20 m/s2 during launch
The acceleration, a = 20 m/s^2
The initial velocity, u = 0 since it starts from rest
The final velocity, v = 400 m/s
Therefore, v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
t = 20 sec
Hence, It will take 20 sec the rocket reach a velocity of 400 m/s
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round these numbers to the nearest tenth 2.65 and 159.39
Answer: 2.7 and 159.4
Step-by-step explanation:
To round numbers tot he nearest tenth,check their tenth digit and if the next number that comes before it is equal or greater than 5, then round that tenth digit up by 1.
The number 2.65 , number 6 is in the tenth place and the number next to it which is 5 is in the hundredths place so to to the nearest tenth will be 2.7 .
The second number 159.39 the tenth place digit is 3 and the number next to it is greater than 5 so after rounding you will get 159.4