Jim surveys a random sample of 150 students from his middle school to learn what type of school lunch is preferred. The table below shows the result of the survey: Lunch Type Sandwich Hot Dog Salad Number of students 70 69 11 Which of the following inferences can be made based on the data? (5 points) A hot dog is two times more popular than salad. A salad is two times more popular than sandwich. Sandwiches and hot dogs are almost equally preferred. A hot dog is the most preferred lunch.
Answer:
Sandwiches and hot dogs are almost equally preferred.
Step-by-step explanation:
Given data is :
Lunch Type Sandwich Hot Dog Salad
Number of students 70 69 11
The total students are = [tex]70+69+11=150[/tex]
The following inferences can be made:
A hot dog is two times more popular than salad. False. It is more than 5 times popular.
A salad is two times more popular than sandwich. False. Salad is only 11 and sandwiches are 70.
Sandwiches and hot dogs are almost equally preferred. True. Both have almost same number.
A hot dog is the most preferred lunch. False. Sandwich is most preferred.
Therefore, the correct answer is - Sandwiches and hot dogs are almost equally preferred.
Javier and Kyle work installing windows and can earn extra money by installing doors. Last week, Javier earned $56 more than Kyle because of door installations. The expression below represents Javier's pay for the week: 14w + 56 What does the first term of the expression represent?
Answer:
[tex]14w[/tex] represents Kyle's pay for the week.
Step-by-step explanation:
"Javier earned $56 more than Kyle because of door installations"
In other words, this means if we take out 56 from Javier's total amount of pay, we get what Kyle earned last week.
Javier's pay is [tex]14w+56[/tex] , so if we subtract 56 from this expression we will get what Kyle earned last week.
[tex]14w+56-56=14w[/tex]
So, the first term of the expression 14w + 56, which is 14w, represents earnings of Kyle last week.
Ten vendors are selling at an event, and an attendance of 42,000 is projected. It is anticipated that 65 percent of the attendees will make purchases. Assuming that each vendor has an equal chance of having an attendee prefer their products, what is the average number of customers each will serve?
Answer:
2,730
Step-by-step explanation:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 6x and m∠12 = 4x, then what is the measure of ∠5?
Answer;
D: 108 degrees
Answer:
Measure of ∠5 is 108°
Step-by-step explanation:
Given m∠1 = 6x and m∠12 = 4x, we have to find the measure of ∠5.
As ∠1 and ∠5 are alternate exterior angle hence equal i.e ∠1=∠5
Also, ∠5 and ∠12 are co-interior angles ∴these are supplementary
⇒ m∠5+m∠12=180°
⇒ 6x+4x=180°
⇒ 10x = 180° ⇒ x=18
∴ m∠5 = 6x = 6(18) = 108°
Hence, measure of ∠5 is 108°
Find the LCD of the pair of expressions.
8/5b; 12/7b^3c
A) 7b^3c
B) 12b^3c^2
C) 35b^3c^2
D)'35b^3c
For the function shown below, find f(3): f(x)=2x^4-8x^2+5x-7
We have been given the function
[tex]f(x)=2x^4-8x^2+5x-7[/tex]
We have to find the value of f(3). In order to find the same, substitute x=3 in the given function.
[tex]f(3)=2(3)^4-8(3)^2+5(3)-7[/tex]
Now, we simplify this step by step.
First of all [tex]3^4=81\text{ and }3^2=9[/tex]. Thus, we have
[tex]f(3)=2\times 81 -8\times 9+5(3)-7[/tex]
Now, we can easily simplify it by PEMDAS
[tex]f(3)=162-72+15-7[/tex]
[tex]f(3)=98[/tex]
Therefore, the value of f(3) is 98.
Give the next 3 numbers in the sequence: 3, 7, 11, 15, ___, ___, ___
Delia measured a doorway to be 1 meter wide. Which of these is a nearly equivalent measurement
A: 15 mi
B: 10.5 yrds
C: 3.3 ft
D: 98.7 in
To find a nearly equivalent measurement to 1 meter wide, the correct answer is C: 3.3 feet, as it is very close to 39.37 inches, the length of 1 meter in inches.
Explanation:To find a nearly equivalent measurement, we can examine the conversion between meters and other units of length. Based on the provided information, 1 meter is equivalent to 1.094 yards or 39.37 inches.
When comparing the options given:
15 miles (mi) is much larger than a meter and, therefore, not equivalent.10.5 yards (yrds) is significantly more than 1 meter, so it is not a close match either.3.3 feet (ft) can be checked by knowing that there are 12 inches in a foot, which would be equivalent to 39.6 inches, making this measurement very close to 1 meter.98.7 inches (in) would be more than twice the length of 1 meter since we know 1 meter is about 39.37 inches.Therefore, the answer that is nearly equivalent to 1 meter is C: 3.3 feet.
This is because 3.3 feet, when converted to inches (3.3 ft x 12 in/ft), is approximately 39.6 inches, which is very close to the 39.37 inches that make up 1 meter.
Final answer:
The most nearly equivalent measurement to 1 meter wide, among the provided options, is 98.7 inches (option D), as 1 meter equals approximately 39.37 inches.
Explanation:
Delia measured a doorway to be 1 meter wide. To find a nearly equivalent measurement in a different unit, we must look at the options provided and use unit conversion reference information:
1 m = 1.094 yd = 39.37 inches1 in. = 2.54 cmComparing the given options against the meter measurement:
A: 15 mi – This is substantially larger than a meter.B: 10.5 yrds – This is also considerably larger than a meter.C: 3.3 ft – This is approximately 1 meter since 1 yard (3 feet) is slightly less than a meter (1 m = 1.094 yd).D: 98.7 in – This is close to a meter (1 m = 39.37 inches).Thus, the most nearly equivalent measurement to 1 meter wide is option D: 98.7 inches.
Please help asap!!!!!!!!!!!!!
Which of the following expressions shows the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter?
a. 21x36 to the 7th power
b.26x36 to the 7th power
c.26 to the 5th power x 10 to the 3rd
d.36 to the 8th power
Answer:
26x36 to the 7th power
Step-by-step explanation:
Answer:
its B my boys!!!!!!!
Step-by-step explanation:
On average, for every 15 points scored by his basketball team, Riley scores 4 of them. About how many points would you expect Riley to score in a game where his team had a final score of 90 points?
What is the volume of the triangular prism below?
When figuring out how much concrete is needed to build a pool what do you multiply the price of the concrete by?
What is the number six million, thirty thousand, expressed in scientific notation? 6.03 × 10^6
6.3 × 10^5
6.3 × 10^6
6.03 × 10^4
Help please!!! I would appreciate it.
A number is multiplied by 6. If 8 is subtracted from the product you get 34.
What is the number?
A-4
B-6
C-7
D-8
Which kind of function best models the data in the table? Use differences or ratios.
x y
0 1.7
1 6.8
2 27.2
3 108.8
4 435.2
Use the formula aequals upper p left parenthesis 1 plus r right parenthesis superscript t to find the rate r at which $3000 compounded annually grows to $4320 in 2 years.
The answer is 7,323 because i dont know i asked my friend
Sal wants to know if he has enough money to buy 4 gallons of gas if he has 15$ and each gallon of gas costs 3.29$ which is a good estimate for weather sal will be able to afford 4 gallons of gas ?
What is the smallest integer greater than the square root of 148?
A.)13
B.)15
C.)14
D.)12
E.)11
The square root of 148 is 12.16. The smallest integer greater than the square root of 148 is 13.
The given number is 148.
What is the square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
The square root of the given number is
√148 = 12.16
12<12.16>13
The square root of 148 is 12.16. The smallest integer greater than the square root of 148 is 13.
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A jar contains 5 pink and 8 navy marbles. A marble is drawn at random. What is the theoretical probability of NOT drawing pink?
Wo trains leave stations miles apart at the same time and travel toward each other. one train travels at miles per hour while the other travels at miles per hour. how long will it take for the two trains to meet?
It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current. Find the speed of the ship in still water and the speed of the current.
The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.
What is the speed of the current?The actual propagation speed depends on the size of the wire and electrical parameters such as its inductance, but it is normally approximately 90% of the speed of light—about 270,000 km/s.
Let x be the speed of the ship, and y be the speed of the current.
It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current.
[tex]\rm (x+y)4=420\\\\x+y=\dfrac{420}{4}\\\\x+y=105[/tex]
And the second equation is;
[tex]\rm (x-y)6=420\\\\x-y=\dfrac{420}{6}\\\\x-y=70[/tex]
Adding both the equation
[tex]\rm x+y+x-y=105+70\\\\2x=175\\\\x=\dfrac{175}{2}\\\\x=87.5[/tex]
Substitute the value of x in equation 1
[tex]\rm x+y=105\\\\87.5 +y=105\\\\y=105-87.5 \\\\y= 17.5[/tex]
Hence, the speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.
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The weekly fee for staying at the Pleasant Lake Campground is $20 per vehicle and $10 per person. Last year, weekly fees were paid for v vehicles and p persons. Which of the following expressions gives the total amount, in dollars, collected for weekly fees last year?
do banks always charge the same interest rate on new and used cars
Banks generally do not charge the same interest rate on new and used cars. Factors including the type of car, borrower's credit history, length of the loan, and market conditions can affect the interest rate. Usually, used cars have higher interest rates due to higher perceived risk.
Explanation:No, banks do not always charge the same interest rate on new and used cars. Interest rates are based on numerous factors that include the type of car (new or used), the borrower's credit history, the length of the loan, and the existing market conditions. Typically, used cars have higher interest rates because they are viewed by the bank as more risky investments. Therefore, individuals with excellent credit may secure lower interest rates on both new and used car loans, but the rate for used cars will still generally be higher than for new cars.
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The ratio of boys to girls is 4:3 .T here are 35 students in a class how many students are boys ?? Pleaseee help
The line represented by y = 3x − 6 and a line perpendicular to it intersect at R(3, 3). What is the equation of the perpendicular line?
A)y=-1/3x +4
B)y=1/3x + 7/3
C)y=-1/2x +5/2
D)y=-3x + 5
Solve for x. Round your answer to 2 decimal places.
Select one:
a. 7.55
b. 15.44
c. 19.07
d. 9.33
A square sheet of paper is folded diagonally. What is the length of LN?
A) 10 in.
B) 20 in.
C) 10√2
D) 5√4
If the factors of a polynomial are x + 7 and x – 3, what values of x make that polynomial 0?
A. 7 and 3
B. –7 and –3
C. 7 and –3
D. –7 and 3
The values of x make that polynomial 0 is x=-7 and x=3. Therefore, option D is the correct answer.
Given that, the factors of a polynomial are x + 7 and x – 3.
We need to find what values of x make that polynomial 0.
What is polynomial?An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Now, x+7=0 and x-3=0
⇒x=-7 and x=3
The values of x make that polynomial 0 is x=-7 and x=3. Therefore, option D is the correct answer.
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