Answer:
2
Step-by-step explanation:
Given [tex]-6-2x[/tex] where [tex]x=-4[/tex], substitute [tex]x=-4[/tex] to find the value of the given equation.
Substituting [tex]x=-4[/tex]:
[tex]-6-2(-4)[/tex]
Multiply [tex]-2\cdot -4[/tex]:
[tex]-6+8[/tex]
Combine like terms:
[tex]-6+8=\boxed{2}[/tex]
Therefore, the value of [tex]-6-2x[/tex] when [tex]x=-4[/tex] is [tex]\boxed{2}[/tex].
what is the circumference of a circle whose radius squared is 113
Answer:
[tex] C = 2 \pi \sqrt{113} [/tex]
[tex] C \approx 66.79 [/tex]
Step-by-step explanation:
[tex] C = 2 \pi r [/tex]
[tex] r^2 = 113 [/tex]
[tex] r = \sqrt{113}} [/tex]
[tex] C = 2 \pi \sqrt{113} [/tex]
[tex] C \approx 66.79 [/tex]
The figure below is a rhombus.
w = [? ]°
Answer:
Step-by-step explanation:
Tammy makes 8 dollars for each hour of work. Write an equation to represent her total pay p after working h hours.
Answer:
P=8(h)
Step-by-step explanation:
P is her total pay. You find that by multiplying what she makes an hour (8) by the total number of hours she has worked (h).
Answer:
p=8h
Step-by-step explanation:
Pay equals $8 per the number of hours
Create a new project called 02.03 Math Class Methods. Create a class called PyTheorem in the newly-created folder. Use the appropriate Math class methods to calculate the hypotenuse of two right triangles. The value of each side (sides a and b) should be randomly generated using Math.random(). The range should from 5 (inclusive) to 23 (exclusive). Print the value of each side of both triangles as well as the value of the hypotenuse for both triangles.
Answer:
The program in Java is as follows:
import java.util.*;
public class PyTheorem{
public static void main(String [] args){
Random rNum = new Random();
int a = rNum.nextInt(17) + 5;
int b = rNum.nextInt(17) + 5;
System.out.println("a: "+a);
System.out.println("b: "+b);
double hyp = Math.sqrt(Math.pow(a,2)+Math.pow(b,2));
System.out.print("Hypotenuse: "+hyp);
}}
Step-by-step explanation:
This generates random number for a
int a = rNum.nextInt(17) + 5;
This generates random number for b
int b = rNum.nextInt(17) + 5;
Print a
System.out.println("a: "+a);
Print b
System.out.println("b: "+b);
Calculate the hypotenuse
double hyp = Math.sqrt(Math.pow(a,2)+Math.pow(b,2));
Print the calculated hypotenuse
System.out.print("Hypotenuse: "+hyp);
PLSSSSSSSSSSSSS HELp VERY URGENT The graph of F(x), shown below, resembles the graph of G(x) = x^2, but it has been stretched somewhat and shifted. Which of the following could be the equation of F(x)?
Answer:
Option B
Step-by-step explanation:
Function 'g' is,
g(x) = x²
Since, leading coefficient of this function is positive, parabola is opening upwards.
From the graph attached,
Function 'f' is opening upwards leading coefficient of the function will be positive.
Since, the graph of function 'f' is vertically stretched, equation will be in the form of f(x) = kx²
Here, k > 1
Since, function 'f' is formed by shifting the graph of function 'g' by 1 unit upwards,
f(x) = g(x) + 1
Combining all these properties, equation of the function 'f' should be,
f(x) = 4x² + 1
Option B will be the correct option.
Which point is on the line y=-2x+ 3?
(-2, -1)
( 3, -3)
(3, 3)
(-3, -9)
please give how you got your answer
Answer: (3, -3)
Step-by-step explanation:
You substitute each point into the function and see if it fits:
(-2, -1) ⇒ -2(-2) + 3 = 4 + 3 = 7 ≠ -1
(3, -3) ⇒ -2(3) + 3 = -6 + 3 = -3
(3, 3) ⇒ -2(3) + 3 = -6 + 3 = -3 ≠ 3
(-3, -9) ⇒ -2(-3) + 3 = 6 + 3 = 9 ≠ -9
The sample mean, x , is a statistic.
True or False
Answer:
True
Step-by-step explanation:
The statistic is a numerical value which describes the characteristic of a particular sample data. The sample is a set of data which represents a smaller subset randomly selected from the population or a larger dataset.
The sample mean, refers to the mean or average value of a sample data, therefore, a sample mean is a numerical characteristic of the sample dataset and it is therefore a statistic. On the other hand, numerical characteristics of a population data is called the parameter.
Winning the jackpot in a particular lottery requires that you select the correct two numbers between 1 and 65 and, in a separate drawing, you must also select the correct single number between 1 and 60. Find the probability of winning the jackpot.
Answer: 1/ 233856 chance changed to 233856 x 2 = 467712
= 1 / 467712 chance as there are 2 drawings
Workings;
1 and 65 = 64
1 and 65 - 1 ball drawn = 63
1 and 60 -1 = 58
1/64 x 1/63 x 1/58 = 233856
1/4032 x 1/58 and to make these the same we 4038/58 = 69.62
then convert properly = 1/4032 x 69.62/4032 4032 x 4032 = 69.62/16257024 then 16257024/69.62 =233510.83
= 233511 chance if rounding before
1/ (233511 x 2) = 1/467022
Then one part is our actual probability
P) = 1/233856
But as they specified a special drawing
you need to repeat this as 64 x 63 x 58 x 2 as the last one cannot be in 1 drawing it has to be in 2nd drawing
233856 x 2 = 467712
= 1 / 467712 chance not rounding down before hand.
what are the coordinates of the point that is 1/6 of the way from a(14 -1) to b(-4 23)
9514 1404 393
Answer:
(11, 3)
Step-by-step explanation:
That point is ...
P = a + (1/6)(b -a) = (5a +b)/6
P = (5(14, -1) +(-4, 23))/6 = (70-4, -5+23)/6 = (11, 3)
The point of interest is (11, 3).
Answer:
The coordinates of the point that is 1/6 of the way from a to b is thus (11, 3)
Step-by-step explanation:
Let's look first at the x coordinates of the two given points: 14 and -4. From 14 to -4 is a decrease of 18. Similarly, from y = -1 to y = 23 is an increase of 24.
Starting at a(14, -1) and adding 1/6 of the change in x, which is -18, we get the new x-coordinate 14 + (1/6)(-18), or 14 - 3, or 11. Similarly, adding 1/6 of the increase in y of 24 yields -1 + 4, or 3.
The coordinates of the point that is 1/6 of the way from a to b is thus (11, 3)
Sixty-five percent of men consider themselves knowledgeable soccer fans. If 10 men are randomly selected, find the probability that exactly seven of them will consider themselves knowledgeable fans. Round to the nearest thousandth.
0.700
0.65
0.252
0.021
Answer:
.252
Step-by-step explanation:
[tex]{10\choose7}*.65^7*(1-.65)^3=.252219625[/tex]
Determine the volume and the surface area of the three dimension figure
Answer:
Volume = 18 cm^3
Surface Area = 58 cm^2
Step-by-step explanation:
Find the volume with the formula V=w*h*l
W= width
H = height
L = length
W= 2cm
H= 1 cm
L= 9 cm
V= w*h*l
V= 2cm * 1 cm * 9cm
V= 18 cm^3
Find the surface area with the formula A= 2(w*l + h*l + h* w)
W= width
H = height
L = length
W= 2cm
H= 1 cm
L= 9 cm
A= 2(w*l + h*l + h* w)
A= 2(2cm*9cm + 1cm*9cm + 1cm* 2cm)
A= 2(29cm)
A= 58cm^2
anyone please lol ?
Answer:
The circumference and diameter of a circle
Step-by-step explanation:
Proportional relationships can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportionality. The formula for a circumference of a circle can be written as [tex]C=d\pi[/tex], where [tex]d[/tex] is the diameter of the circle. Therefore, the constant of proportionality is [tex]\pi[/tex] and the circumference and diameter of a circle are in a proportional relationship.
FREE
Circle O has a circumference of approximately 250 ft.
What is the approximate length of the diameter, d?
O 40 ft
O 80 ft
O 125 ft
O 250 ft
Save and Exit
Next
Submit
Mark this and return
Answer:
Step-by-step explanation:
circumference = πd ≅ 250 ft
d ≅ 250/π ≅80 ft
what is 3 squared ÷ 48 - 6
Answer:
[tex] {3}^{2} \div 48 - 6 \\ 9 \div 48 - 6 \\ = - 5.8125[/tex]
4x-1,9x-1,7x-3 find the perimeter
20x-5
Answer:
Solution given;
perimeter=sum of all sides
=4x-1+9x-1+7x-3=20x-5
The perimeter of the line segments 4x - 1, 9x - 1, and 7x - 3 is 20x - 5.
To find the perimeter of the given line segments, you need to add up the lengths of all the line segments.
The lengths of the line segments are:
4x - 1,
9x - 1,
7x - 3.
To find the perimeter, add these lengths together:
Perimeter = (4x - 1) + (9x - 1) + (7x - 3)
= 4x + 9x + 7x - 1 - 1 - 3
= 20x - 5.
Therefore, the perimeter of the line segments 4x - 1, 9x - 1, and 7x - 3 is 20x - 5.
To learn more on Perimeter click:
https://brainly.com/question/7486523
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(-4x+6)+(x-5) please answer I’ll be happy :)
Answer:
− 3 x + 1
Step-by-step explanation:
Answer: -3x + 1
Step-by-step explanation: I know Math O_O
The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 520 hours. Find the probability of a bulb lasting for at most 528 hours. Round your answer to four decimal places.
Answer:
0.7031 = 70.31% probability of a bulb lasting for at most 528 hours.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 520 hours.
This means that [tex]\sigma = 15, \mu = 520[/tex]
Find the probability of a bulb lasting for at most 528 hours.
This is the p-value of Z when X = 528. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{528 - 520}{15}[/tex]
[tex]Z = 0.533[/tex]
[tex]Z = 0.533[/tex] has a p-value of 0.7031
0.7031 = 70.31% probability of a bulb lasting for at most 528 hours.
What are the values of x for which the denominator is equal to zero for y=(x+3)/(x^2+4x)
9514 1404 393
Answer:
-4, 0
Step-by-step explanation:
The denominator is x^2+4x. This is zero when ...
x^2 +4x = 0
x(x +4) = 0
The zero product rule tells you the product is zero when the factors are zero.
x = 0
x +4 = 0 ⇒ x = -4
The denominator is zero for x=0 and x=-4.
Which equation has a graph that passes through the origin and has a slope of -10?
Midsegments geometry acellus pls helppfpfpff
Answer:
BC = 28
Step-by-step explanation:
The midsegment DF is half the measure of the third side BC , then
BC = 2 × DF = 2 × 14 = 28
convert 65 kg into gram .
Answer:
65000
Step-by-step explanation:
65x 1000
1000 because 1kg= 1000
Prove that: (secA-cosec A) (1+cot A +tan A) =( sec^2A/cosecA)-(Cosec^2A/secA)
Step-by-step explanation:
[tex](\sec A - \csc A)(1 + \cot A + \tan A)[/tex]
[tex]=(\sec A - \csc A)\left(1 + \dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} \right)[/tex]
[tex]=(\sec A - \csc A)\left(1 + \dfrac{\cos^2 A + \sin^2 A}{\sin A\cos A} \right)[/tex]
[tex]=(\sec A - \csc A)\left(\dfrac{1 + \sin A \cos A}{\sin A \cos A} \right)[/tex]
[tex]=\left(\dfrac{\frac{1}{\cos A} - \frac{1}{\sin A}+\sin A - \cos A}{\sin A\cos A}\right)[/tex]
[tex]=\dfrac{\sin A - \sin A \cos^2A - \cos A + \cos A\sin^2A}{(\sin A\cos A)^2}[/tex]
[tex]=\dfrac{\sin A(1 - \cos^2A) - \cos A (1 - \sin^2 A)}{(\sin A\cos A)^2}[/tex]
[tex]=\dfrac{\sin^3A - \cos^3A}{\sin^2A\cos^2A}[/tex]
[tex]=\dfrac{\sin A}{\cos^2A} - \dfrac{\cos A}{\sin^2A}[/tex]
[tex]=\left(\dfrac{1}{\cos A}\right)\left(\dfrac{\sin A}{1}\right) - \left(\dfrac{1}{\sin^2A}\right) \left(\dfrac{\cos A}{1}\right)[/tex]
[tex]=\sec^2A\csc A - \csc^2A\sec A[/tex]
The scale on a map indicates that 1 inch corresponds to an actual distance of 75 miles. Two cities are 5.5 inches apart on the map. What is the actual distance between the two cities?
Answer:
412.5
Step-by-step explanation:
Answer:
[tex]412.5[/tex] miles
Step-by-step explanation:
Since 1 inch=75 miles you just multiply [tex]75*5.5[/tex] to get how many miles 5.5 inches is.
insert a digit in a place of each "..." to make numbers that are divisible by 6 if it is possible: 4...6
Answer:
1 There is no number that make it divisible by 6 with no decimals
2 1,4,7
Step-by-step explanation:
2 23718/6= 3953
23748/6= 3958
23778/6= 3963
A fashion designer wants to know how many new dresses women buy each year. A sample of 650 women was taken to study their purchasing habits. Construct the 95% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 5.6. Assume that the population standard deviation is 1.3.
from an observer o, the angles of elevation of the bottom and the top of a flagpole are 40° and 45° respectively.find the height of the flagpole?
Answer:
Take a look of the image below, we can think on this problem as a problem of two triangle rectangles.
We can see that both triangles share the adjacent cathetus, then the height of the flagpole is just the difference between the opposite cathetus.
Remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
So, if we define H as the height of the cliff
X as the distance between the observer and the cliff
and h as the height of the flagopole
we can write:
tan(40°) = H/X
tan(45°) = (H + h)/X
Notice that we have two equations and 3 variables (we should have the same number of equations than variables) then here is missing information, and we can't get an exact solution for the height of the flagpole.
But we can write it in terms of the height of the cliff H, or in terms of the distance between the observer and the cliff.
We want to find the value of h.
If we take the quotient between both equations, we get:
Tan(45°)/Tan(40°) = (H + h)/H
1.192 = (H + h)/H
1.192*H = H + h
1.192*H - H = h
0.192*H = h
So the height of the flagpole is 0.192 times the height of the cliff.
The weight gain of beef steers were measured over a 140 day test period. the average daily gains (lb/day) of 10 steers on the same diet were as follows. The tenth steer had a weight gain of 4.02 lb/day.
3.89 3.51 3.97 3.31 3.21 3.36 3.67 3.24 3.27
determine the mean and median.
Answer:
[tex]\bar x = 3.545[/tex]
[tex]Median = 3.435[/tex]
Step-by-step explanation:
Given
[tex]x:3.89, 3.51, 3.97, 3.31, 3.21, 3.36, 3.67, 3.24, 3.27[/tex]
[tex]10th: 4.02[/tex]
Solving (a): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{3.89 +3.51 +3.97 +3.31 +3.21 +3.36 +3.67 +3.24 +3.27+4.02}{10}[/tex]
[tex]\bar x = \frac{35.45}{10}[/tex]
[tex]\bar x = 3.545[/tex]
Solving (b): The median
First, we sort the data; as follows:
[tex]3.21, 3.24, 3.27, 3.31, 3.36, 3.51, 3.67, 3.89, 3.97, 4.02[/tex]
[tex]n = 10[/tex]
So, the median position is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{10 + 1}{2}th[/tex]
[tex]Median = \frac{11}{2}th[/tex]
[tex]Median = 5.5th[/tex]
This means that the median is the average of the 5th and 6th item
[tex]Median = \frac{3.36 + 3.51}{2}[/tex]
[tex]Median = \frac{6.87}{2}[/tex]
[tex]Median = 3.435[/tex]
is perpendicular to line segment
. If the length of is a units, then the length of is
units.
Answer:
AB is perpendicular to [GH] and GH is [A]
Step-by-step explanation:
To teach computer programming to employees, many firms use on the job training. A human resources administrator wishes to review the performance of trainees on the final test of the training. The mean of the test scores is 72 with a standard deviation of 5. The distribution of test scores is approximately normal. Find the z-score for a trainee, given a score of 82.
Answer:
The z-score for the trainee is of 2.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The mean of the test scores is 72 with a standard deviation of 5.
This means that [tex]\mu = 72, \sigma = 5[/tex]
Find the z-score for a trainee, given a score of 82.
This is Z when X = 82. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{82 - 72}{5}[/tex]
[tex]Z = 2[/tex]
The z-score for the trainee is of 2.
One number is 1/4 of another number. The sum of the two numbers is 5. Find the two numbers. Use a comma to separate your answer
Answer: 1, 4
Step-by-step explanation:
Number #1 = xNumber #2 = [tex]\frac{1}{4} x[/tex][tex]\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4[/tex]
Number #1 = x = 4Number #2 = [tex]\frac{1}{4} x[/tex] = [tex]\frac{1}{4} *4=\frac{4}{4} =1[/tex]