Answer:
74.29%
Step-by-step explanation:
A student passed 60%, or a proportion of 0.60 of the 20 quizzes he's written so far. This means he has passed [tex]0.60*20=12[/tex] quizzes so far.
Now he has written 50 quizzes and passed 80% of them, or [tex]50*.8=40[/tex] quizzes.
To find the success rate, take the number of quizzes passed and divide by total number of quizzes.
[tex]\frac{Passed}{Total}[/tex]=[tex]\frac{12+40}{20+50}[/tex]=[tex]\frac{52}{70}[/tex]=.7429
To get a percentage, multiply this proportion by 100 to get 74.29%
A new, trendy department store is experiencing exponential growth across America. The chain began in 2004 when it opened 16 stores in Texas. Since then, it has grown by 35% in new store openings each year. Create an exponential function below to show the number of stores each year, x, since 2004.
Pierce used the proportion y/x=7/2 when deriving the equation of a line with similar triangles.select 2 that apply and explain
a.the slope of line is 0
b.the slope of line is 2/7
c.the slope of line is 7/2
d. the y int is 0
e.the y int is 2/7 f the y int is 7/2 and again explain plz
The proportion y/x = 7/2 indicates that the slope of the line is 7/2. Without additional information, we cannot determine the y-intercept from this proportion.
Explanation:Pierce used the proportion y/x = 7/2 when deriving the equation of a line with similar triangles. This proportion suggests that for every 2 units of increase in x, y increases by 7 units. Therefore, the slope of the line, which is the ratio of the change in y (rise) to the change in x (run), would be 7/2. Thus, the correct answer is (c) the slope of the line is 7/2.
Because the question does not provide a specific point on the line, we cannot determine the exact y-intercept from the information given. However, since the proportion does not indicate any specific y-intercept value, we cannot conclude that it is 0, 2/7, or 7/2 without additional information. We only know the relationship between y and x given by the slope.
It takes typically $27 to fill up your tank up with gas. You have allotted no more than $108 on gasoline for your trip. A) Write and B) solve an inequality to find out how many times you will get to fill up your tank up witj gas.
Final answer:
The student can fill up their gas tank up to 4 times within their $108 budget for gasoline. The inequality used to determine this is 27n ≤ 108, solved by dividing both sides by 27.
Explanation:
To solve the student's question regarding how many times they can fill up their gas tank within a $108 budget, we need to set up an inequality and solve it. Let's define the variable n as the number of times they can fill up their tank.
Step A: Write the Inequality
Since it costs $27 to fill up one tank, and the student has budgeted no more than $108 for gas, the inequality will be:
27n ≤ 108
Step B: Solve the Inequality
To find out how many times the student can fill up the tank, we divide both sides of the inequality by 27:
n ≤ [tex]\frac{108}{ 27}[/tex]
n ≤ 4
Therefore, the student can fill up their gas tank up to 4 times within their budget.
find the interquartile range for the data set: 10,3,8,6,9,12,13
Answer:
The interquartile range would be 6.
Step-by-step explanation:
3, 6, 8, 9, 10, 12, 13,
Median: 9
Lower quartile (Q1): 6
Upper quartile (Q2): 12
(IQR) Interquartile Range: 12 - 6 = 6
The interquartile range for the data set is, 6
We have to given that,
The data set is,
⇒ 10,3,8,6,9,12,13
We can arrange data set in ascending order,
⇒ 3, 6, 8, 9, 10, 12, 13
Hence, First quartile (Q₁) = 6
Second quartile (Q₃) = 12
Hence, The interquartile range for the data set is,
Interquartile range = 12 - 6
Interquartile range = 6
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A square garden has a perimeter of 60 yards. If one yard is approximately 0.9 meters, which of the following best represents the area of the garden in square meters?
To find the area of a square garden in square meters given its perimeter in yards, we first determine the side length by dividing the perimeter by 4, then convert this length into meters using the conversion rate, and finally square this metric side length to get the area in square meters.
Explanation:The question you've asked involves calculating the area of a square garden in square meters given its perimeter in yards and a conversion factor between yards and meters. To solve this, we first determine the length of one side of the square garden using the given perimeter. The formula for the perimeter of a square is 4 × side length, so to find the side length, we divide the perimeter by 4. Given a perimeter of 60 yards, the side length is 15 yards.
To convert the side length into meters, we use the conversion factor that 1 yard is approximately 0.9 meters. Therefore, 15 yards × 0.9 meters/yard gives us 13.5 meters. Lastly, to find the area of the garden in square meters, we square the side length in meters, which is 13.5 meters × 13.5 meters = 182.25 square meters. This completes our calculation, showing that the area of the garden is approximately 182.25 square meters.
The front flap of a tent is shaped like an isosceles triangle. The base of the triangle is 16 feet and the height of the triangle is 6 feet. What is the length of the congruent sides of the triangle?
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Image 1. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?
Image 2. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?
The equation h(t) = − 16t^2 + 19t + 110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff.
What is the initial velocity when the rock is thrown?
Since there are 6 faces on a die, there is a 1/6 chance of rolling a die and getting a 5.
Lavender rolled a number cube 90 times. the outcome of the number 6 occurred 18 times. Compare the theoretical to the experimental probability of rolling the number 6.
By comparing the theoretical probability of 1/6 with the experimental probability of 1/5, one can see that the experimental probability is one that is slightly higher.
What is the outcome of the numberBased on the question, to compare the theoretical and experimental probabilities of rolling the number 6, one have to calculate both probabilities.
The theoretical probability is seen as the expected probability according to the assumption of a fair six-sided number cube.
Based on the fact that there are six equally likely outcomes (numbers 1 to 6) on the cube, the theoretical probability of rolling a 6 is 1/6.
So, the experimental probability is based on the actual outcomes observed in Lavender's 90 rolls.
According to the given information:
Lavender rolled the cube 90 times and got the outcome of 6 in 18 of those rolls.
So: Experimental probability = Number of successful outcomes / Total number of outcomes
= 18 / 90
= 1/5
Hence, the experimental probability of rolling the number 6 is 1/5.
Since the experimental probability is slightly higher, one can say that it could be as a result of random variation or a biased number cube.
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Among the expressions, two of them have the same result. Which are they?
a. -25+18+9+(-15)–(-13)
b. (-40)÷(-2)×15-100
c. (-7)×(-5)–(-37)–72
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Please someone help!!! The sides of the base of a square right prism are 16 cm each and the height of the prism is 10 cm. what is the surface area of this prism?
Answer:
C
Step-by-step explanation:
Determine which ordered pair is a solution of y = x to the power of 2, minus 2. Choices: (5,21), (-5, 24), (-1, -1), (-2, 6)
Answer: Below
Step-by-step explanation:
Y and x can be any number you have to start of with a number for x, you can't put (y,x)^2-2 if you don't know a value
A pizza corner offers a choice of 2 types of pizza bases and 8 types of pizza toppings. How many different single topping pizzas can a customer order?
In a bag, there are cards each with one of the numbers {1, 2, 3, 4, 5} written on them. Kenneth reaches into the bag, selects a card, and then replaces it. He repeats this 16 times with the following results.
Number on selected card 1 2 3 4 5
Frequency 5 3 2 4 2
What is the relative frequency that Kenneth selects the card with 4 written on it? Enter your answer in the box.
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Help I can’t find the area
It takes a boat going upstream 11 hours and 9 hours downstream. What is the speed of The boat if the current is 2mph
Which triangles are congruent by ASA
Answer:
Option B. ΔABC ≅ ΔFGH
Step-by-step explanation:
In the given picture if we compare ΔFGH and ΔABC
side FG = BC
and AB = GH
and angle between them are equal
∠FGH = ∠ABC
Therefore SAS property of congruence is true for these triangles.
Option B. ΔABC ≅ ΔFGH
A total of 907 people went to a fishing tournament. Of these people 627 arrived before noon.Alina estimates that fewer than 300 people arrived in the afternoon. How did she estimate?
Find the mean and median of these data: 2,5,9,11,17,19
what does x equal? ......
ow do I put circumference, diameter, and pi into a formula
A full punch bowl holds 4 gallons of punch , if each glass holds 4 ounces of punch,how many glasses can be filled from a full punch bowl?
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes. What was Alex's average speed?
What is 1 over 10 as a percentage?
Answer:
10% or .1 or .10
Step-by-step explanation:
10 points! Please Help! ASAP!!
Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid:
What set of transformations is performed on ABCD to form A′B′C′D′?
A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
B translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin
C 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left
D translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin
combine terms 12a+26b-(4b+16a)
Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will the artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the price increase goes into effect
Answer:
Step-by-step explanation:
Let the cost of canvas be $x per sq inches.
Measurement of the canvas bought by the artist is
24 × 36 inches
Area of canvas = 24×36= 864 sq inches
Cost of canvas = 864x
New cost of canvas =x+5% of x
=x+0.05x
=1.05x
New Cost of canvas = 907.20x
Increase in price=907.20x-864x=43.2x
Percentage = [tex]\frac{43.2x}{864x}*100[/tex]
= 5%
Hence artist is going save 5% of cost by buying sheet today.
What is the slope that passes through the pair of points? (-1, 4), (3, 12)
A. -2
B. 2
C. 4
D. -4