1. w+5-v = 24
2. (-u) - w + (−20) = -27
3. u +13 = 9
4. s+(-)-14 = 21
5. s-t-19 = -15
6. (-r)-16 = -6
How to solve for the algebraic expressions in the excerpt?Algebraic expressions are mathematical phrases that include variables, constants, and arithmetic operations. They are commonly used in algebra to represent relationships and solve equations.
To solve for the algebraic expression u = -4, v = -8, and w = 11:
1. w+5-v = 11 + 5 - (-8) =
11 + 5 + 8
= 24
2. (-u) - w + (-20) =
-(-4) - 11 - 20 =
4 - 11 - 20
= -27
3. u + 13 =
-4 + 13
= 9
For r = -10, s = 7, and t = 3:
4. s - (-14) =
7 + 14
= 21
5. s - t - 19 =
7 - 3 - 19 =
-15
6. (-r) - 16 =
-(-10) - 16 =
10 - 16
= -6
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equations equivalent to x/4+1/3=5/6
find the equation for the line parallel to 3x + 2y = 6 that passes through the point (−4 1)
Answer:
y = - 3/2x- 5
Step-by-step explanation:
3x+2y=6
2y = -3x + 6
y = - 3/2x + 3
Point (- 4,1)
(b) y-intercept = 1 - (- 3/2)(- 4)
= 1 - 6
= -5
What is 3568 in standard form
Answer:
3000+500+60+8
Step-by-step explanation:
107/ 10 to the fourth power, simplified and kept in exponential form.
Answer:
1.07^(-2)
Step-by-step explanation:
First, figure out what 10 to the fourth power is. This will give us 10,000.
Now, divide 107 by 10,000. That gives us 0.0107. Now put this in exponential.
In expoential, we get 1.07^(-2)
How do you write equations in Point-slope form?
For a line with a slope a and a known point (h, k), the point-slope form is:
y = a*(x - h) + k
How to write an equation in point slope form?A general linear equation can be written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through a point (h, k), then the point-slope form of that line is:
y = a*(x - h) + k
Notice that particularly, the y-intercept can be written as (0, b), then the slope-intercept form is also a point-slope:
y = a*(x - 0) + b
y = a*x + b
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any jus want to help with this? i attached the picture
1. The difference in the distance of Jupiter from the sun than Mercury will be 4.816.
2. The difference in the distance of Neptune from the sun than Mars will be
3. The greatest distance between Earth and Uranus is Uranus.
4. The greatest distance between Venus and Saturn is Saturn
How to calculate the distance?From the information, the average distance from the sun to each planets have been given. The difference in the distance of Jupiter from the sun than Mercury will be:
= 5.203 - 0.387
= 4.816
The difference in the distance of Jupiter from the sun than Mars will be:
= 30.07 - 1.524
= 28.546
The greatest distance between Earth and Uranus is Uranus and the greatest distance between Venus and Saturn is that of Saturn.
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which of these expressions have a product greater then 2/3
The expressions with the greater products is 7/8 * 9/10
How to determine the expressions with the greater productsThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
4/5 * 5/6 = 4/6 --- false
7/8 * 9/10 = 63/80 --- true
1/3 * 2/3 = 2/9 --- false
3/4 * 7/12 = 7/12 --- false
6/7 * 7/9 = 6/9 --- false
Hence, the expression is 7/8 * 9/10
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Why do we choose 5% as a risk of making error and not 1%
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
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Circles P and Q are congruent and mO = 90. If RQ = 5, find the diameter of circle O. Round your answers to the nearest tenth.
The diameter of the circle is 4.2 units
Congurents circles:
The set of circles that have the same radius and same size are known as Congruent circles. In other words, the circles which have the same radius same are known as Congurents circles
Here we have
Circles P and Q are congruent and m∠O = 90°. and RQ = 5
From the data, Circles P and Q are congruent
Hence, the Radius of Circles P and Q are the same
=> PR = RQ
=> PQ = PR + RQ = 5 + 5 [ Since RQ = 5 = PR ]
=> PQ = 10 ---- (1)
Since, PR = RQ the center, 'O' will be at the same distance from P and Q
=> QO = PO --- (2)
Given that m∠O = 90°
This implies PQO is an isolated right triangle
As we know in a right triangle
=> Hypotenuse² = side² + side²
=> PQ² = QO² + PO²
=> (10)² = 2QO² [ from (1) ]
=> 100 = 2 QO²
=> QO² = 50
=> QO = √50 = 5√2
=> QO = 7.07
From the figure,
The radius of the circle = OQ - Radius of circle Q
= 7.07 - 5 = 2.1
Hence, the diameter of the circle = 2 × 2.1 = 4.2
Therefore,
The diameter of the circle is 4.2 units
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PLEASE HELP!
I BELIVE ITS SINE BUT I NEED A SECOND OPINON
IM SO CONFUSED!! DUE SOON PLEASE HELP BEEN STUCK ON THIS FOREVER!
QUESTION DOWN BELOW!
MANY THANK!!
You're answer is (A) The cosine law only
What is the cosine law?
Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle.
Answer: The correct answer is (#1) the cosine law only.
Step-by-step explanation: Confirmed correct.
how many cubic meter are there in 61 cubic centimeters?
Answer:
6.1e-5
Step-by-step explanation:
there is 1e-6 in a single cubic centimeter
Answer:
0.000061 m³
Step-by-step explanation:
1 m = 100 cm
Cube both sides of the equation above.
(1 m)³ = (100 cm)³
1 m³ = 1,000,000 cm³
61 cm³ × (1 m³)/(1,000,000 cm³) = 0.000061 m³
1.75 rounded to the nearest whole
Answer:
2 is the answer
Step-by-step explanation:
because 7 is going to make 1.75 round up to 2
What’s the value of x?
Answer:
the value of x is x men just like spiderman and my favorite rapper is lil baby
The sale price of a spring break vacation package was 119.99 and the travel agent said by booking early you saved 50.00 find the percent decrease in price.
Given that the initial sale price of the package is 119.99, and the discount price when purchased early is 50, the percent decrease in price is calculated as
\(\text{percent decrease = }\frac{\text{discount price}}{initialsale\text{ price}}\times100\)This is evaluated to be
\(\frac{50}{119.9}\times100=\frac{5000}{119.9}=41.70\)Hence, the percentage decrease in price is 41.70
derrick is preparing to submit his taxes. over the year, he kept track of certain deductions he is able to claim (all rounded to the nearest dollar). these values are given below. 65,144,97,144,103,98,101,127,58,151 derrick figures that he will receive the following amounts: $25 for each deduction that is under $130 and $45 for each deduction that is $130 or more. use the ti-83 or 84 to draw a histogram for these values using 4 classes. using that histogram, determine how much total derick will receive from all of his deductions.
Derrick will receive total of $340 from all of his deductions
To create a histogram for these values using four classes, we must first determine the class width, which is determined as the data range divided by the number of classes. The data range is 151 - 58 = 93, which is the difference between the biggest and smallest numbers. The breadth of the class is 93/4 = 23.25. We'll round it up to 24 because we can't have a fractional class width.
Then, for each of the four classes, we'll start with the smallest number (58) and add the class width (24) again until we reach the maximum value (151). The lowest class boundaries for the four classes are as follows:
Class 1: 58
Class 2: 82
Class 3: 106
Class 4: 130
We'll determine the upper class limit for each lower class limit by adding the class width (24) - 1. The upper class restrictions are as follows:
Class 1: 81
Class 2: 105
Class 3: 129
Class 4: 153
Finally, we'll tally the amount of deductions made in each class and utilise that data to create the histogram. Each class has the following number of deductions:
Class 1: 1 (58)
Class 2: 3 (97, 98, 101)
Class 3: 3 (103, 127, 144)
Class 4: 3 (144, 151, 65)
We can compute the total amount Derrick will earn from all of his deductions now that we know the number of deductions in each class. He will earn $25 for each deduction of less than $130, and $45 for each deduction of $130 or more.
Derrick will receive the following total from all of his deductions:
$25 * 1 (for the single deduction of less than $130) + $45 * 7 (for the seven deductions of $130 or over) = $25 + $315 = $340
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How many elements are there in this set: {red, orange, yellow, green, blue, indigo, violet}?
i need help with the equation (11) - 2.
Answer:
it's technically 9 because it's the same as 11-2
Find an angle in each quadrant with a common reference angle with 285°, from 0°≤θ<360
The four angles, one in each quadrant, with a common reference angle of with 285° are: 15°, 165°, 195°, 345°
Understanding QuadrantA common reference angle is an angle that is shared by multiple angles in different quadrants when measured from the x-axis. The reference angle for an angle measured in degrees can be found by subtracting the nearest multiple of 90 degrees that is less than the angle.
For the angle 285°, the nearest multiple of 90 degrees that is less than it is 270°. Therefore, the reference angle for 285° is 285° - 270° = 15°.
Using this reference angle, we can find an angle in each quadrant with a common reference angle with 285° as follows:
First Quadrant: An angle in the first quadrant with a reference angle of 15° is 15° itself.Second Quadrant: An angle in the second quadrant with a reference angle of 15° can be found by subtracting the reference angle from 180°. Therefore, an angle in the second quadrant with a common reference angle with 285° is 180° - 15° = 165°.Third Quadrant: An angle in the third quadrant with a reference angle of 15° can be found by subtracting the reference angle from 180° and then adding 180°. Therefore, an angle in the third quadrant with a common reference angle with 285° is 180° + 15° = 195°.Fourth Quadrant: An angle in the fourth quadrant with a reference angle of 15° can be found by subtracting the reference angle from 360°. Therefore, an angle in the fourth quadrant with a common reference angle with 285° is 360° - 15° = 345°.Learn more about quadrant here:
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No
0.7
What’s the percentage
Answer: 70%
Step-by-step explanation:
0.7
----- x 100% = 70%
1
Answer:
70%
Step-by-step explanation:
When turning a decimal into a percent always bring the decimal point two places to the right.
0.7.0.
070%
70%
3√−50
Enter your answer, in simplest radical form
Undefined
Step-by-step explanation:\( \sf 3 \sqrt{ - 50} \)
= The square root of negative numbers does not exist in the set of Real Numbers.
= Undefined
Conclusion:The square root of negative numbers does not exist in the set of Real Numbers then Undefined.
Answer:
15√2
Step-by-step explanation:
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}. 27 71 121
Answer:
Step-by-step explanation:
h(2)= 2
g(2)= 3(2) + 2 = 6 + 2 = 8
f(8)= 2(8) - 1 = 16 - 1 = 15
Answer:
27
Step-by-step explanation:
Set up the composite result function.
F(G(H(x)))
Evaluate F(G(H(x))) by substituting in the value of H into G.
Multiply 3 by x^2
F(G(x2))=F(3x2+2)
Evaluate F(G(x)) by substituting in the value of G into F
F(3x2+2)=2(3x2+2)-1
Simplify each term.
Apply the distributive property.
F(3x2+2)=2(3x2)+2⋅2-1
Multiply 3 by 2
F(3x2+2)=6x2+2⋅2-1
Multiply 2 by 2
F(3x2+2)=6x2+4-1
Subtract 1 from 4
F(3x2+2)=6x2+3
Evaluate the result function by replacing x with 2 in the function.
6(2)2+3
Simplify the evaluated function.
Simplify each term.
Raise 2 to the power of 2
6⋅4+3
Multiply 6 by 4
24+3
27
I don’t understand stand this can somebody please help me
Answer:
C
Step-by-step explanation:
The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.
So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.
The center is at (5,-1)
that means that x will be written as (x - 5)
And y will be written as (y + 1)
Note: the signs of the center always change to the opposite of what they were.
The answer is (x - 5)^2 + (y + 1)^2 = 49
A randomized telephone survey of adults in the United States determines that a certain number out of 504 respondents have one or more pets. They use p^ to construct a 95% confidence interval to estimate the proportion p of American adults who have pets to be (0.56137,0.60529).
How many respondents said they have one or more pets?
283
294
305
290
Answer:
\( \hat p=\frac{0.56137+0.60529}{2}= 0.58333\)
The critical value for 95% of confidence is \(z_{\alpha/2}=1.96\)
And since we know the total and the proportion is defined as:
\( \hat p=\frac{X}{n}\)
If we solve for X (number of people who say yes) we got:
\( X= 0.58333* 504= 293.998 \approx 294\)
And the best answer would be:
294
Step-by-step explanation:
We know that the confidence interval for the proportion is given by:
\( \hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)
The margin of error for the proportion interval is given by this formula:
\( ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\) (a)
The margin of error can be calculated with this formula:
\( ME=\frac{0.60529- 0.56137}{2}= 0.02196\)
And the estimation for the true proportion is:
\( \hat p=\frac{0.56137+0.60529}{2}= 0.58333\)
The critical value for 95% of confidence is \(z_{\alpha/2}=1.96\)
And since we know the total and the proportion is defined as:
\( \hat p=\frac{X}{n}\)
If we solve for X (number of people who say yes) we got:
\( X= 0.58333* 504= 293.998 \approx 294\)
And the best answer would be:
294
2.5% of Iphones tested were defected. How many Iphones out of 5000 would be defected?
Answer:
I think the answer would be 125 iPhones.
Step-by-step explanation:
So basically the question is what is 2.5% of 5000.
Just multiply 5000 * 0.025 = 125
If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?
The mean height of the students in a class is 152 cm. The mean height of boys is 158 cmwith a standard deviation of 5 cm. And the mean height of girls is 148 cm with a standarddeviation of 4 cm. Find the percentage of boys in the class and also the S.D of heights of allthe students in the class?
The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively
How to find the percentage of boys in the class?Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class
The given parameters that will help us to get the percentage are
Mean height of the class = 152 cm
Mean height of the boys = 158 cm
The standard deviation of the boys = 5 cm
Mean height of the girls = 148 cm
Standard deviation of the girls = 4 cm
(1) The percentage of boys in the class is
Total mean height = 158 +148 = 306
Percentage = 158/306 * 100 = 51.6%
Then the percentages 51.6/100 * 152 = 78%
(2) The total standard deviation of all the students
Boys + girls = 5+4 = 9 cm
Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively
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An investment website can tell what devices are used to access the site. The site managers wonder whether they should enhance the facilities for trading via "smart phones" therefore they want to estimate the proportion of users who access the site that way. They draw a random sample of 200 investors from their customers. Suppose that the true proportion of smart phone users in 36%. What is the probability that the sample proportion is between 0.30 and 0.40? Hint: You'll need to find one z-score for 0.30 and another for 0.40. Then find the area between the two z-scores.
Answer:
0.8418
Step-by-step explanation:
We have p = 0.36
Sample size = 200
We have to find the standard error of proportion
= √p(1-p)/n
= √0.36(1-0.36)/200
= 0.034
P(0.30<p^0.40)
= 0.30-0.36/0.034 = -1.76,
0.40-0.36/0.034 = 1.18
P(-1.76<z<1.18)
When we go to the standard normal distribution table
P(z<1.18) = 0.8810
P(z<-1.76) = 0.0392
0.8810 - 0.0392
= 0.8418
This is the probability of the sample proportion being between 0.30 and 0.40
please try to answer!!
Answer:
A
Step-by-step explanation:
can someone give me tips for flying on an airplane? ✈️
Answer:
chew gum for your ears
bring a pillow for you neck
download a movie
bring something to do with your hands
bring a jacket
use the restoroom before the flight
bring your own snacks
get a seat near the wings of the planes its the safest
make sure you put your name on your luggage
bring headphones
bring lots of fluids after getting through security
bring a breathable mask
Step-by-step explanation:
Which of the following would you see on a circle graph?
OA. Percentages
OB. Bars
C. Points
OD. A y-axis
A, percentages
You would see percentages on a circle graph, because it's how many parts of the whole that they take up.
Happy to help, have a great day! :)