In english class,each student must select 4 short stories from a list of 5 short stories to read. how many different combinations of short stories could a student read? math
It took Leo 3.5 hours to complete a route walking at a rate of 4.2 mph. How long would it take Leo to complete the same route walking at a rate of 2.8 mph?
plz give exact answer
In a random sample of 55 newborn babies, what is the probability that 44% or fewer of the sample are boys. (use 3 decimal places). hint: you are asked to find p(p^^\^ < .44 ). to calculate this first find the z-score and then calculate the probability
A certain elevator can hold no more than 2500 pounds. Define a variable and write an inequality for this situation
Let x represent the total weight in pounds of people and items. The inequality is x≤2500 for the elevator's weight limit.
Let's define the variable x to represent the weight in pounds of the people and items inside the elevator.
The inequality representing the situation would be:
x≤2500
This states that the weight x must be less than or equal to 2500 pounds for the elevator to safely operate within its weight capacity.
How many gallons is 15 percent of 55 gallons?
If I put $1500 into my savings account in earned $180 of an interest at 4% simple interest how long was my money in the bank
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35kg. Write an equation to determine the weight, w ww, of each of Carl's checked bags. Find the weight of each of his checked bags.
Answer:
15.5 kg (each)
Step-by-step explanation:
Let [tex]w[/tex] be the weight of each checked bag (there are 2). Thus, we can write, from the information given:
[tex]w+w+4=35\\2w+4=35[/tex]
Now we solve this equation for [tex]w[/tex] to find weight of each checked bag:
[tex]2w+4=35\\2w=35-4\\2w=31\\w=\frac{31}{2}\\w=15.5[/tex]
So, the weight of each of his checked bags is 15.5 kg.
If 15% of x is 42, what is x?
Bill weighs 120 lbs and is gaining ten lbs each month. Phil weighs 150 lbs and is gaining four lbs each month. How many months will it take for bill to wiegh the same as phil?
Algebraic equations are equations that contain variables that are unknown. These unknown variables are represented by any letters of the Alphabet.
it will take 5 months for Bill to weigh the same as Phil.
Let's represent the number of months they gain extra weight as: m
Step 1
Bill weighs 120 lbs and is gaining ten lbs each month. The algebraic equation for the above statement is :
120 ib + 10 ib x m
120 + 10m ........Equation 1
Phil weighs 150 lbs and is gaining four lbs each month. The algebraic equation for the above statement is :
150 ib + 4 ib x m
150 + 4m ........Equation 2
Step 2
We equate equations 1 and 2 to each other
Equation 1 = Equation 2
120 + 10m = 150 + 4m
Collect like terms
10m - 4m = 150 - 120
6m = 30
Divide both sides by 6
6m/6 = 30/6
m = 5
Therefore, it will take 5 months for Bill to weigh the same as Phil
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How to solve more complex problems involving angles the backwards Method
What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?
Enter your answer in the box. Do not round any side lengths.
Using the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 24 units.
What is the Perimeter of a Polygon?
Perimeter = sum of all sides of the polygon.
Name the vertices as follows:
A(−2, 1)B(−2, 4)C(2, 7)D(6, 4) E(6, 1)Perimeter of the polygon = AB + BC + CD + DE + EA
Use the distance formula, [tex]d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], to find the length of each segment:
AB = |1 - 4| = 3 units
BC = √[(2−(−2))² + (7−4)²]
BC = 5 units
CD = √[(2−6)² + (7−4)²
CD = 5 units
DE = |4 - 1| = 3 units
EA = |6 - (-2)| = 8 units
Perimeter of the polygon = 3 + 5 + 5 + 3 + 8
Perimeter of the polygon = 24 units
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A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 minutes. after treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 minutes and a standard deviation of 42.3 minutes (based on data from cognitive behavioral therapy vs zopiclone for treatment of chronic primary insomnia in older adults," by silverstein et al., journal of the american medical association, vol. 295, no. 24). assume that the 16 sample values appear to be from a a normally distributed population and construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments. what does the result suggest about the mean wake time of 102.8 minutes before the treatment
To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, use the formula: Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size).
Explanation:To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, we can use the formula:
Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size)
Given that the sample mean after treatment with zopiclone is 98.9 minutes, the standard deviation is 42.3 minutes, and the sample size is 16, we need to find the critical value for a 98% confidence level. The critical value can be found using a t-distribution table or calculator.
Once the critical value is obtained, we can plug in the values into the formula to calculate the confidence interval estimate.
Round 256 and 321 ( need to when rounding in the hundreds place do we not change the entire number?
Please help me with 18 and 19
Simplify 2y^2-7y-15/3y^2-8y-2 9y^2-1/4y^2-9 / y^2+3y-10/2y^2-9y+9
Graph each line y -7 = x + 4
To graph y - 7 = x + 4, rewrite the equation in slope-intercept form as y = x + 11. Plot the y-intercept at (0, 11), choose another value for x to find a second point, like (1, 12), and draw the line through these points to visualize the dependence of y on x.
Explanation:To graph the line given by the equation y - 7 = x + 4, we first need to write it in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. So, we add 7 to both sides of the equation to get y = x + 11. This tells us the slope of the line is 1 (since for every increase by 1 in x, y increases by 1) and the y-intercept is 11 (this is where the line crosses the y-axis).
We can then plot the y-intercept on the graph by putting a point at (0, 11). To find another point, we can choose any value for x and solve for y. For example, if we choose x = 1, then y = 1 + 11 = 12, so another point on the line is (1, 12). By plotting these two points and drawing a line through them, we create the graph of the equation.
For more accurate results, plotting more points using various x values and connecting them would be ideal. This graphical representation illustrates the dependence of y on x.
MARTIN CHARGES $10 FOR EVERY 5 BAGES OF LEAVES HE RAKES. LAST WEEKEND, HE RAKED 24 BAGES OF LEAVES. HOW MUH MONEY DID HE AERN
Help
simply. this math problem
- 4 1/5 = -21/5 = -42/10
-13 1/10 = -131/10
-42/10 - -131/10=
-42/10 + 131/10 = 89/10 = 8 9/10
answer is A
does velocity or mass impact momentum more and why
Both mass and velocity equally affect momentum in classical physics. However, at relativistic speeds, velocity has a more significant effect on momentum due to relativistic mass increase.
Explanation:The impact of mass and velocity on momentum depends on the context of the object's motion. In classical physics, momentum is defined as the product of an object's mass and velocity, thus both mass and velocity equally influence momentum. However, for objects moving at relativistic speeds—approaching the speed of light—the effect of velocity on momentum is more pronounced due to the relativistic mass increase. To illustrate, a football player with greater mass has a larger impact due to having more momentum when moving at the same velocity as a player with less mass. In contrast, at relativistic speeds, an increase in velocity would result in an exponentially greater momentum, surpassing the effect of just increasing mass.
Determine the axis of symmetry the vertex and the x-and y intercepts f(x)=x2+2x-3
Right trapezoid WXYZ is shown. What is the measure of angle WXY?
Answer: [tex]107^{\circ}[/tex]
Explanation: Here, WXYZ is a quadrilateral where, \angle WZY and \angle ZYX are right angles ⇒[tex]\angle WZY=\angle ZYX =90^{\circ}[/tex]
And, [tex]\angle XWZ= 73^{\circ}[/tex]
Since, The sum of all angles of a quadrilateral is equal to 360^{\circ}
Therefore,
[tex]\angle WXY+\angle XWZ+\angle WZY+\angle ZYX =360^{\circ}[/tex]
⇒[tex]\angle WXY+73^{\circ}+90^{\circ}+90^{\circ}=360^{\circ}[/tex]
⇒[tex]\angle WXY=360^{\circ}-253^{\circ}=107^{\circ}[/tex]
Answer:
C. [tex]107^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a right trapezoid and we are asked to find the measure of angle WXY.
We can see from our given trapezoid that angle XYZ and angle WZY measures 90 degrees.
Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals [tex]360^{\circ}[/tex], so we can set an equation as:
[tex]m\angle WXY+m\angle XYZ+m\angle YZW+m\angle ZWX=360^{\circ}[/tex]
Upon substituting the given measures of our trapezoid we will get,
[tex]m\angle WXY+90^{\circ}+90^{\circ}+73^{\circ}=360^{\circ}[/tex]
[tex]m\angle WXY+253^{\circ}=360^{\circ}[/tex]
[tex]m\angle WXY+253^{\circ}-253^{\circ}=360^{\circ}-253^{\circ}[/tex]
[tex]m\angle WXY=107^{\circ}[/tex]
Therefore, the measure of angle WXY is 107 degrees and option C is the correct choice.
If an employer spends $30,000 for weight-lifting equipment for the company gym. The company charges $100 a year to each employee who wants to buy a gym pass. The pass is for an unlimited amount of uses. There are 50 employees that work for this company. How many years will it take to pay off the weight-lifting equipment if half of the employees buy the gym pass each year?
half of 50 is 25
25 *100 = 2500 a year
30,000 / 2500 = 12
it will take 12 years
Deshawn has several dimes and quarters that total $2.05. he has 3 fewer quarters than dimes. how many of each doe he have
What is a security deposit
if y=9 When x= -3 find x when y=6
Answer:
fawfafw
Step-by-step explanation:
awfafafawfa
Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
Given:
∠C, ∠F are rt.∠'s; AC = DF; BC = EF
Answer:
LA
Step-by-step explanation:
Odyssey
Two lines that do not intersect are parallel.alwayssometimesnever
In triangle JKL, if line JK is equal to line JL, angle J equals 23x-4, angle K equals 4x-1, and angle L equals 9x-31, find x and the measure of each angle.
m(∠J) = 134°, m(∠K) = 23° and m(∠L) = 23° is the answer.
From the figure attached,
JK and JL are equal sides of the triangle.m(∠J) = 23x - 4m(∠K) = 4x - 1m(∠L) = 9x - 31Since, two sides JK and JL of ΔJKL are equal in measure,
Therefore, ΔJKL is an isosceles triangle.
By the property of an isosceles triangle, opposite angles of the equal sides are equal.
Therefore, m(∠K) = m(∠L)
4x - 1 = 9x - 31
9x - 4x = 31 - 1
5x = 30
x = 6
By substituting the value of 'x' in the measures of each angle,
m(∠J) = 23x - 4
= 23(6) - 4
= 138 - 4
= 134°
m(∠K) = 4x - 1
= 4(6) - 1
= 24 - 1
= 23°
m(∠L) = 9x - 31
= 9(6) - 31
= 23°
Therefore, m(∠J) = 134°, m(∠K) = 23° and m(∠L) = 23° will be the answer.
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what is the greatest common factor of 125, 50, 275
What is the value for ƒ(x) = 4²ˣ - 100 when x = 2 ?
Answer:
f(x)=156
Step-by-step explanation: