the probability is
P=240/350
simplify
P=24/35What is the solution to 4x+6. A x<3 B x<6 C x<48 D x<96
we have the inequality
[tex]4x+6\leq18[/tex]solve for x
subtract 6 both sides
[tex]\begin{gathered} 4x\leq18-6 \\ 4x\leq12 \end{gathered}[/tex]step 2
Divide by 4 both sides
[tex]x\leq3[/tex]Which expression is undefined? -8÷(-8) -8÷80÷88÷0
The expressions where a number is divided by 0 are undefined, as the result would became indefinitely big (infinity).
The expression -8÷80÷88÷0 has a division by 0, so it is undefined.
Answer the following questions.(a) 39 is what percent of 12.5?(b) 42.5% of what is 20.57?
(a) We are at the percentage of 12.5 which equates to 39. The general formula of getting percentages is:
[tex]N\times percent=percentage\text{ result}[/tex]For this problem, we have N = 12.5 and the percentage result is 39. We are looking on percent, wherein the derive equation to solve this is:
[tex]percent=\frac{percentage\text{ result}}{N}[/tex]We substitute the given on the problem, getting:
[tex]\begin{gathered} \text{percent}=\frac{39}{12.5} \\ \text{percent}=3.12 \end{gathered}[/tex]This answer is not yet in terms of %. We multiply it by 100% to write it in percent notation, hence, the answer in part (a) would be 3.12 x 100% = 312%,
(b) For this part, we are looking at N. Hence, the equation that we will use is:
[tex]N=\frac{percentage\text{ result}}{percent}[/tex]Before calculating, we must adjust first the percent into number notation, that is, divide it by 100%. We can say that 42.5% is also equal to 0.425. Therefore, the value of N in this problem is:
[tex]N=\frac{20.57}{0.425}=48.4[/tex]Answers:
(a) 312%
(b) 48.4
Select the expression equivalent to:(4x + 3) + (-2x + 4)A: 2x + 7B: -2x + 12C: -8x + 12D: 6x + 7
(4x + 3) + (-2x + 4)
Eliminating the parentheses:
4x + 3 - 2x + 4
Reordering:
4x -2x + 3 + 4
2x + 7
I need help ASAP please can you help you help
OPTION C
A quartic function is a fourth-degree polynomial: a function that has, as its highest order term, a variable raised to the fourth power.
From our question, it was easy to
In IJK, the measure of K=90 degrees, JI=53, IK=45, and KJ=28, What ratio represents the sine of I?
The given triangle is a right angle triangle. The diagram is shown below.
From the triangle, considering angle I as the reference angle,
hypotenuse = JI = 53
adjacent side = IK = 45
opposite side = KJ = 28
To find Sin I, we would apply the Sine trigonometric ratio which is expressed as
Sin # = opposite side/hypotenuse
Thus,
Sin I = 28/53
How many pounds of candy that sells for $0.85 per Ib must be mixed with candy that sells for $1.22 per lb to obtain 9 lb of a mixture that should sell for $0.92 per lb? 50.85-per-lb candy: 73 lb (Type an integer or decimal rounded to two decimal places as needed.) $1.22-per-b candy
This system gives two equations
[tex]\frac{0.85x+1.22y}{9}=0.92[/tex][tex]x+y=9[/tex]where x is the number pounds of $0.85/lb candy and y is the number of pounds of $1.22/lb candy.
The solution to the system is
[tex]x=7.297[/tex][tex]y=1.70[/tex]Hence, 7.297 lb of $0.85 candy is required in order that if we mix them with 1.70 lb of $1.22 candy, we will get a 9 lb solution of 0.92 /lb candy.
evaluate the expression which expression is half as large as the expression 345+23
To find the corresponding expression, solve the sum of the given expression and then divide it by 2.
[tex]\frac{345+23}{2}[/tex]A dietitian at a hospital wants a patient to have a meal that has 113 grams of protein, 54 grams of carbohydrates, and 135.5 milligrams of vitamin A. The hospital foodservice tells the dietitian that the dinner for today is salmon steak, baked eggs, and acorn squash. Each serving of salmon steak has 30 grams of protein, 10 grams ofcarbohydrates, and 1 milligram of vitamin A. Each serving of baked eggs contains 20 grams of protein, 3 grams of carbohydrates, and 20 milligrams of vitamin A. Eachserving of acorn squash contains 4 grams of protein, 15 grams of carbohydrates, and 37 milligrams of vitamin A. How many servings of each food should the dietitian provide for the patient?__ salmon steak (x)__ baked eggs (y)__ acorn squash (z)
Hello there. To solve this question, we'll need to set up a system of equations with 3 equations and 3 variables.
In each equation, we'll have the amounts for protein, carbohydrates and vitamin A.
Talking about protein:
Each serving of salmon steak has 30 grams of protein, baked eggs contains 20 grams of protein and acorn squash contains 4 grams of protein.
Say the servings of salmon steak, baked eggs and acorn squash are the variables x, y and z, respectively. We multiply x, y and z by the respective values for the protein of each serving and add them up. It should be equal to the amount of protein the dietitian was thinking of.
30x + 20y + 4z = 113
Talking about carbohydrates:
The same thing will apply to carbs, we multiply the variables by how many carbs we can get for eachserving. A serving of salmon steak gives you 10 grams of carbs, baked eggs gives you 3 grams of carbs and acorn squash gives you 15 grams.
10x + 3y + 15z = 54
Talking about vitamin A:
Repeat the same process, this time using the values for the vitamin A you get form each serving.
x + 20y + 37z = 135.5
Then we have the following system of equations:
Solving this system of equations, you can use the method of your choice.
After you solved it, you find the values:
1.5 serving of salmon steak, 3 servings of baked eggs and 2 servings of acorn squash.
using trig to find a side
we have that
tan(16)=NO/OM -------> by opposite side divided by the hypotenuse
solve for NO
NO=OM*tan(16)
x=16*tan(16)
x=4.6 ftUse the spinner shown in the figure below to find the probability indicated.Landing on green or a consonant
Based on the spinner, there are a total of 8 possible outcomes.
2 of which are green and 4 are consonants, however, 1 outcome is both consonant and a green (F green).
Therefore, the probability of landing on a green or consonant is:
[tex]\begin{gathered} P(A\text{ or B)}=P(A)+P(B)-P(A\text{ and B)} \\ P(A\text{ or B)}=\frac{2}{8}+\frac{4}{8}-\frac{1}{8} \\ P(A\text{ or B)}=\frac{5}{8} \end{gathered}[/tex]The probability of landing on a green or consonant is 5/8 or 62.5%.
Analyze the data in the line plot "attached "Use the data to construct a line plot.Number of students in a classroom:22, 28, 31, 33, 28, 29, 31, 28, 29, 32, 27, 18, 29, 31, 30, 31, 32, 27, 29, 33
Answer:
Most classrooms have between 29-31 students.
Step-by-step explanation:
To construct a line plot, create a number line that includes all the numbers or values in the data set. Then place an x over each data value on the number line, if a value occurs more than one place x's as necessary:
The accompanying box-and-whisker plots can be used to compare the annual incomes of three professions. Based on the box-and-whisker plots, which statement is true?a - the median income for nuclear engineers is greater than the income of all musiciansb - the median income for police officers and musicians is the samec - all nuclear engineers earn more than all police officersd - a musician will eventually earn more than a police officer
a - Median income for nuclear engineers: $70,000. Some musicians earn more than $120,000. FALSE
b - Median income for police officers: $30,000
Median income for musicians: $30,000
TRUE
c - Some nuclear engineers earn between $50,0000 and $60,0000
Also, some police officers earn between $50,0000 and $60,0000
FALSE
d - box-and-whisker plots don't allow us to predict future events. Then, maybe or maybe not a musician will eventually earn more than a police officer
How do I find the area of different shapes? Is it the same exact as finding the area of a square?Please help! e.g. Trapezoid, Triangle, Octagon
Then area of each shape can be find ina different form. Each figure have a formula to find the area.
For example
Trapezoid:
[tex]A=\frac{1}{2}(B_1+B_2)\cdot h[/tex]Where B1 is one of the bases and B2 the other base. h is the vertical height.
Triangle:
[tex]A=\frac{1}{2}(b\cdot h)[/tex]b is the base and h is the vertical height.
Regular polygon:
[tex]A=\frac{P\cdot a}{2}[/tex]P is the perimeter of the regular polygon and a is the apothem (the distance for the center of the polygon to the mind-point of a side.
You need a 50% alcohol solution. On hand, you have a 300 mL of a 40% alcohol mixture. You also
have 80% alcohol mixture. How much of the 80% mixture will you need to add to obtain the desired
solution?
You will need
—————————mL of the 80% solution
You will need 100 mL of the 80% solution and solve the question by using percentage concept.
What is the percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100.
Assume that x mL of 80% solution is needed.
The amount of alcohol in 300 mL of a 40% alcohol mixture is
300 mL × 40% = 300 × (40/100) = 120 ml.
The amount of alcohol in 300 mL of a 40% alcohol mixture is
300 mL - 120 mL = 180 mL.
The amount of alcohol in x mL of a 80% alcohol mixture is
x mL × 80% = x × (80/100) = (8x)/10 ml.
The amount of alcohol in x mL of a 80% alcohol mixture is
x - (8x)/10 ml = (2x)/10 mL.
Total amount of alcohol is 120 + (8x)/10 mL
Total amount of water is 180 + (2x)/10 mL
The meaning of 50% alcohol solution is the amount of alcohol and water is equal.
120 + (8x)/10 = 180 + (2x)/10
(8x)/(10)- (2x)/10 = 180 -120
(6x)/(10) = 60
x = 100
To learn more about percentage, you can visit below link:
https://brainly.com/question/897301
#SPJ1
Lesson 6: Relate Division and Multiplication Cool-down: A Different Relay Race 1. Lin and Han ran a 5 mile relay race as a team. They each ran the same distance. Dras diagram to represent the situation.
Lin and Han ran a 5 miles relay race.
If they both ran same distance, that means each of them ran;
[tex]\frac{1}{2}(5\text{miles)}=2.5\text{miles}[/tex]So, Lin and Han ran 2.5miles each.
The diadramatic representation of this scenario is;
The image above shows a track race of 5 miles divided into two. LIN ran half of it (2.5 miles) and also Han ran the other half, also (2.5 miles)
"Name the property used in the equation below
a) 3 x+9 y-1=3(x+3 y)-1
b) 7 x+5 y-5 y=7 x
c) (x-4)(x+3)=0
d) 4 x+5 x=5 x+4 x"
The property used in each equation are
a) 3x + 9y - 1 = 3(x + 3y) - 1 distributive property
b) 7x + 5y - 5y = 7x additive inverse property
c) (x - 4)(x + 3) = 0 distributive property
d) 4x + 5x = 5x + 4x commutative property
What is distributive property?The distributive property states that multiplying the total of two or more addends by a number produces the same outcome as multiplying each addend separately by the number and adding the products together.
Additive inverse involves adding which involves two numbers that has opposite sign. the addition lead to zero
b) 7x + 5y - 5y = 7x
= 7x + 0
= 7x
What is commutative property?
This law basically asserts that while adding and multiplying numbers, you can rearrange the numbers in a problem without changing the solution.
Learn more about distributive property here:
https://brainly.com/question/28794801
#SPJ1
(6,3) and (2, -9)equation in slope intercept form
Let:
(x1,y1)=(6,3)
(x2,y2)=(2,-9)
[tex]\text{slope}=m=\frac{y2-y1}{x2-x1}=\frac{-9-3}{2-6}=\frac{-12}{-4}=3[/tex]Using the point-slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-3=3(x-6) \\ \text{Solve for y:} \\ y=3x-15 \end{gathered}[/tex]Can you hello me with number 2 using 3.14 and I have to round to the answer to the nearest tenth as well thanks
Given data:
Radius of the circle = 10in.
To find:
The circumference of the circle.
The formula to find the cicumference of the circle is,
[tex]C=2\pi r[/tex]subsitute the values of,
[tex]\begin{gathered} r=\text{ 10in} \\ \pi=3.14 \end{gathered}[/tex]we get,
[tex]\begin{gathered} C=2\cdot3.14\cdot10 \\ =62.8 \end{gathered}[/tex]THE CIRCUMFERENCE OF THE CIRCLE IS 62.8 IN
-4(0.25b-2) - (7 - b) + 3/2 (4b - 2/3)simply please
-4(0.25b-2) - (7 - b) + 3/2 (4b - 2/3)
We must open the parenthesis first by multiplying the elements in it be the elements outside
Bearing in mind that
- * - = +
- * + = -
-4(0.25b-2) - (7 - b) + 3/2 (4b - 2/3)
= -b - 8 -7 + b + 6b - 1
Now we rearrange so all like terms are together noting the signs before each term
= -b + b + 6b - 8 - 7 - 1
= 6b - 16
You may leave the answer in this form or go further to factorize
= 2 (3b - 8)
Sample proportions of size ten were taken from a group of students. Students were asked if they wore glasses while watching TV. The proportion that wore glasses while watching TV was recorded. The standard deviation of the data is 0.19 The margin of error can be given by the formula Margin ferror = 2 * s/(sqrt(n)) where s is the standard deviation and n is the sample size . What is the margin of error for the data collected ?
Margin of error:
[tex]ME=2\times\frac{s}{\sqrt{n}}[/tex]For the given data collected
[tex]\begin{gathered} s=0.19 \\ n=10 \\ \\ ME=2\times\frac{0.19}{\sqrt{10}}=\frac{0.38}{\sqrt{10}}=0.12 \end{gathered}[/tex]Then, the margin of error is 0.12I dont know how to do number 18 on my homework
Beth walked 3 blocks in 15 minutes.
Then, we have that:
[tex]\frac{3}{15}\cdot\frac{3}{3}=\frac{9}{45}[/tex]We have that multiplying the rate (ratio) by the same number in the numerator and in the denominator, we will have equivalent fractions (and the same ratio).
Option a is true. We have the result above.
Then, for option b, we cannot obtain an equivalent fraction. It is false.
For option c, we have the same as for option b. It is false.
For option d:
[tex]\frac{3}{15}\cdot\frac{4}{4}=\frac{12}{60}[/tex]Then, option d is true.
Work out the rage 51,38,48,36,39,40,39,47
The range of the given data set will be 15.
What is the range?When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.Find the biggest observed value of a variable (the maximum) and subtract the smallest observed value to determine the range (the minimum).The range is the range of values, from lowest to highest. Example: The lowest value in 4, 6, 9, 3, and 7 is 3, while the highest value is 9. The range is therefore 9 - 3 = 6.So, the range of the given data:
In increasing order: 36, 38, 39, 39, 40, 47, 48, 51The range will be:
51 - 3615
Therefore, the range of the given data set will be 15.
Know more about the range here:
https://brainly.com/question/2264373
#SPJ1
Correct questions:
Work out the range 51,38,48,36,39,40,39,47
2) A scuba diver descends to a location that is -12 1/3 m relative to sea level. He then descends another 8 1/4 M. What is the scuba divers final location relative to sea level.
NUMBERS ONLY
Answer: -20 7/12
Step-by-step explanation: Hope this helps!
There are three novels on Keisha's reading table: Scoop, Light, and Lanark. On her next trip, she can choose to take some or none, but not all, of these novels. In the braces below, list all the possible sets of novels that Keisha can take.Write each set in your list in roster form..
She could take
1.- {x|x Scoop}
2.- {x|x Light}
3.- {x|x Lanark}
4.- {x|x Scoop, Light}
5.- {x|x Scoop. Lanark}
6.- {x|x Light, Lanark}
whats the simplest form of— 3х + 7 – 2x +11 — x
The given expression is
[tex]-3x+7-2x+11-x[/tex]We have to reduce like terms. -3x, -2x, and -x are like terms. 7 and 11 are like terms.
[tex]-3x-2x-x+7+11=-6x+18[/tex]Then, we factor out the greatest common factor, observe that 6 is the greatest common factor
[tex]6(-x+3)[/tex]Hence, the simplest form is 6(-x + 3).use the equation and type the ordered-pairs.y=3^x[(-1,_),(0,_),(1,_),(2,_),(3,_),(4,_)]
Given the equation :
[tex]y=3^x[/tex]we need to complete the order pairs :
[(-1,_),(0,_),(1,_),(2,_),(3,_),(4,_)]
So, for each value of x, we will find the corresponding value of y
[tex]\begin{gathered} x=-1\rightarrow y=3^{-1}=\frac{1}{3} \\ \\ x=0\rightarrow y=3^0=1 \\ \\ x=1\rightarrow y=3^1=3 \\ \\ x=2\rightarrow y=3^2=9 \\ \\ x=3\rightarrow y=3^3=27 \\ \\ x=4\rightarrow y=3^4=81 \end{gathered}[/tex]So, the answer is : the order pairs will be :
[tex](-1,\frac{1}{3}),(0,1),(1,3),(2,9),(3,27),(4,81)[/tex]Two letters are chosen at random from the word MATHEMATICS, with replacement. What is the probability that the first letter is a consonant and the second letter is a vowel?
We want to know the probability of choosing two letters at random, and the first letter is a consonant and the second one is a vowel. The word we are given is
MATHEMATICS
We see that it has 7 consonants and 4 vowels. We will denote by E to the event:
[tex]E=\text{"Getting as a first letter a consonant and second letter a vowel"}[/tex]As the events: "Obtaining a consonant" and "Obtaining a vowel" are independent, we get:
[tex]P(E)=\frac{7}{11}\cdot\frac{4}{10}=\frac{28}{110}=\frac{14}{55}=0.25\bar{45}[/tex]This means that the probability that the first letter is a consonant and the second letter is a vowel is (approximately) 25.45%.
Select the correct answer.378Convert4 to rectangular form.OA.Y = -1OB.y = 1O C.y =O D.O E.I = -1
The Solution.
Assuming the radius is 1.
[tex]x=\cos (\frac{3\pi}{4})=-\sin (\frac{3\pi}{4})[/tex]Therefore,
[tex]\begin{gathered} x=-y \\ or \\ y=-x \end{gathered}[/tex]So, the correct answer is option D
Instructions: Given the coordinate points of the preimage, use the transformation given to provide the points of the image. V(-5,-2) W(-2,1) X(-3,-3) Rotation: 90º about the origin v' W'( X'(3 -3 > Check
The rotation is 90 degree about the origin. The rule can be express below
[tex](x,y)\rightarrow(y,-x)[/tex]Therefore,
[tex]\begin{gathered} V(-5,-2)\rightarrow V^{\prime}^{}(-2,5) \\ W(-2,1)\rightarrow W^{\prime}(1,2) \\ X(-3,-3)\rightarrow X^{\prime}(-3,3) \end{gathered}[/tex]Note this is a clockwise 90 degree rotation.
