What is the value of the expression below?
5 1/4÷7/8 x 4 5/6
Answer:51/4×8/7×45/6
=51×2/7×45/6
=51×1/7×45/3
=17×1/7×45
109.3
Step-by-st5ep explanation-in first line made all signs same so thai change numerator and denominator of 8 and
in other lines after solving whole multiplication you will get the answer 109.3.
Phillip is competing in a race car competition. He drives 218.4 miles in 2.4 hours.
(a) What unit rate may be of interest here?
If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units of time, then that object's speed will be given as
Speed = Distance traveled/Time taken
S = D/T
Phillip is competing in a race car competition.
He drives 218.4 miles in 2.4 hours.
Then the speed of the car will be
S = 218.4/2.4
S = 91 miles per hour
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Armando works in a research institute and they have collected the following data on a random sample of 500 students,
Gender
GRE score before and after participation in a GRE prep course (GRE is a test you take for entering graduate school)
Armando wants to answer questions the following questions:
1: After taking the GRE preparation course, did women show more improvement on the GRE score or men?
2: After the GRE preparation course, did more women get admitted to the graduate program or men?
3: What statistical method should he use?
a. He should use the one-sample test of the mean to answer question one and the one-sample test of proportion to answer question b.
b. He should use the two-sample test of the mean to answer question one and the two-sample test of proportion to answer question two.
c. He should use the two-sample test of proportion to answer question one and the two-sample test of the mean to answer question b.
d. He should use the paired-sample of the mean to answer question one and two sample test of the mean to answer question two.
Answer:
b. He should use the two-sample test of the mean to answer question one and the two-sample test of proportion to answer question two.
Step-by-step explanation:
Here we have two independent groups, Men and Women, therefore, to show if it is the Men or Women who performed better, this can be determined based the mean scores of each group. Therefore, use the two sample test of mean which is used to test whether the unknown mean of two independent population are equal or not.
In other to determine those who have the greater number of admissions between the two groups, this is determined by comparing the proportion of each group admitted. Hence, rather Than testing for the mean, we compare the proportion. Hence, we use the two sample test of proportion.
1/3x+ 1/3y=–9/5
in standard form
helpp
Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain
Answer:
So the answer is
Step-by-step explanation:
x)2943
Answer:The x values of the “and” inequality satisfy both inequalities.
The x values of the “or” inequality satisfy one or both inequalities.
Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.
Step-by-step explanation:
that's all u need
A DJ charges a $350 booking fee, plus an hourly rate of $45. The Martins want to book the DJ for a party that will last 5 hours. How much will the DJ charge them? answer
The DJ will charge them $575.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given that,
Booking fee for DJ = $350
Rate for an hour = $45
Let x be the number of hours DJ is lasting.
Expression to find the total charge for x hours is 350 + 45x.
The Martins want to book the DJ for a party that will last 5 hours.
Cost for the DJ party for Martins = 350 + (45 × 5) = $575
Hence the cost for the DJ party booked by Martins is $575.
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PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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easiest way to make a ratio into percentage
Answer:
To convert a ratio into the form of a percentage
Answer:
Simply divide m by n and then multiply the result by 100.Example: 12 : 4 = 300%-7/2x + 3/2 + 2 =-7/2
Answer:
x=2
Step-by-step explanation:
-7/2x + 3/2 + 2 =-7/2
Add the numbers
3/2+2
2=2/1=4/2
3/2+4/2=7/2
-7/2x+7/2=-7/2
Subtract 7/2 from both sides
-7/2x=-14/2
Multiply both sides by 2
-7x=-14
Divide both sides by -7
x=2
Help me out please please
Answer:
490000
Step-by-step explanation:
Substituting \(x=40\),
\(I=-425(40)^2 + 45500(40) - 650000=490000\)
What is the area of this rectangle? Rectangle with width 5.1 cm and height 11.2 cm. Responses 16.3 cm2 16.3 cm, 2 32.6 cm2 32.6 cm, 2 57.12 cm2 57.12 cm, 2 571.2 cm2
The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².
To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.
Area = length × width
Area = 11.2 cm × 5.1 cm
Calculating the product, we get:
Area = 57.12 cm²
Therefore, the area of the rectangle is 57.12 cm².
The correct answer is: 57.12 cm².
It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.
So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².
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The probability of event A is 0.5 and probability of event B is 0.2. Given that A and B are independent, then the probability of A and B (A intersection B) is:
A) 2.5%
B)7 %
C)10%
D) 14%
help asap thanks bless
Answer:
The length of third side is 4 units
Step-by-step explanation:
In a right angle triangle
AB = 2√3, BC = 2 and m∠B = 90°
Now, By Pythagoras Theorem
(AC)² = (AB)² + (BC)²
(AC)² = (2√3)² + (2)²
(AC)² = 12 + 4
(AC)² = 16
√(AC)² = √16
AC = 4
Thus, The length of third side is 4 units
-TheUnknownScientist 72
which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
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Select the correct answer.
It costs $480.00 to rent an apartment on the Gold Coast for a weekend. Last year it cost $400.00.
What method below shows how you would calculate the % increase?
The method is: Find the increase and find the ratio of the increase and the old price.
The percentage increase is 20%
What method below shows how you would calculate the percentage increase?A percentage is defined as the ratio that can be expressed as a fraction of 100.
The method below shows how you would calculate the % increase.
First step: Find the increase:
increase = 480 - 400 = $80
Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:
80/400 * 100 = 20%
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Students in a large statistics class were randomly divided into two
groups. The first group took the midterm exam with soft music
playing in the background while the second group took the exam
with no music playing. The exam scores of the two groups were
then compared.
This experiment was not blind because:
- students were allowed to keep their eyes open while
taking the exam.
- the exam was too long.
- the students knew whether or not music was playing while
they were taking the exam.
- some of the students did not study for the exam.
- students were randomized into the two groups.
The correct option is B. The students knew whether or not music was playing while they were taking the exam
Given,
The class was split into two groups.
The first group took the midterm exam while background music was playing, and the second group took the exam without any background music.
In a blind experiment, any information that might affect the subjects is kept secret until the experiment is over. The pupils in this instance are aware of their group membership.
In order to answer this question, an experiment is carried out to see how music affects learning. One group of students studies while background music is playing, while the other group does not.
However, because of the background music playing here, the pupils are aware of which group they belong to. The experiment's outcomes are impacted by this.
Therefore the correct option is B. The students knew whether or not music was playing while they were taking the exam.
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Write an equation for the line parallel to the line -7x - 7y= 7 through the point (-1,2)
Answer:
\(y=-x+1\)
Step-by-step explanation:
Slope-Intercept Formula:It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:
\(-7x-7y=7\)
add 7x to both sides:
\(-7y=7x+7\)
Divide both sides by -7
\(y=-x-1\)
Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:
\(y=-x+b\text{ where b }\ne -1\)
We're given the point (-1, 2) and we can use it to solve for that "b" value.
We plug in -1 as x and 2 as y
\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)
Now we just plug this into the general equation to get: \(y=-x+1\)
Please help due tomorrow
Answer:
just observe its like corresponding soo..
CAB = DEF
ABC = EFD
ACB = EDF
EMJOY ;)
Boy and he likes swimming =
Answer:
hot boy shirtless
Step-by-step explanation:
find the value of x.
Hey there!
To find the value of x in an equation, you have to solve for x.
Example
Given: 3x - 9 = 0
First, add 9 to both sides:
3x = 9
Then, divide both sides by 3
x = 3
Have a terrifcly amazing day!
An exponential function f(x) = a · b^× passes through the points (0, 4) and (3, 500). What are the values of a and b?
Given the exponential function:
\(f(x)=a\cdot b^x\)The function passes through the points:
(0, 4) and (3, 500)
Let's find the values of a and b.
Let's use the given points to find a and b.
(0, 4):
Substitute 0 for x, and 4 for f(x), to find the value of a:
\(\begin{gathered} f(x)=a\cdot b^x \\ \\ 4=a\cdot b^0 \\ \\ 4=a\cdot1 \\ \\ 4=a \\ \\ a=4 \end{gathered}\)The value of a is 4
(3, 500):
Substitute 3 for x, 500 for f(x) and 4 for a to solve for b:
\(\begin{gathered} f(x)=a\cdot b^x \\ \\ 500=4\cdot b^3 \\ \\ \text{Divide both sides by 4:} \\ \frac{500}{4}=\frac{4\cdot b^3}{4} \\ \\ 125=b^3 \\ \\ \text{Take the cube root of both sides:} \\ \sqrt[3]{125}=\sqrt[3]{b^3} \\ \\ 5=b \\ \\ b=5 \end{gathered}\)The value of b is 5
ANSWER:
a = 4
b = 5
Determine the unknown angle measure for each triangle. PLS HELP I DONT GET IT LOL IF YOU HELP ME YOULL GET BRAINLIEST PLSSS ASAP
Answer:
Step-by-step explanation:
Hi there.
1a. m C= 44 degrees
46+90= 136 180-136=44
1b. m P= 60 degrees
10+110=120 180-120=60
For future reference, you can solve these with some simple addition. The sum of the angles in any triangle is 180, so add your two given pieces together and subtract it from that to get your missing measure.
2a. Lines a and b have a positive slope. You can tell because they are tilted to the right.
2b. Line d has a negative slope. It's tilted to the left.
(Line c's slope is neither positive or negative because it is zero)
3. x= 65
(I'm not so sure about this one, but I think the angle opposite 25 is also 25, and because of parallel rules the angle above 70 is 110. That means the angle above 110, inside the triangle, is 90. So, we have 90 and 25 and that means 65 is our remaining measure. I really hope this is correct. If you have some sort of notes sheet on the rules of parallel lines and their angle measures, that might be helpful)
3 times the sum of a number and 2
Answer:
is this actually a question
Step-by-step explanation:
A small class has 9 students, 4 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the first student chosen will be a boy and the second will be a girl? Write your answer as a fraction in simplest form.
The probability that the first student chosen will be a boy and the second will be a girl is 0.28.
What is probability?Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
Total students = 9
Number of girls = 4
Number of boys = 5
Probability of choosing first boy = Number of boys / total students
⇒ 5/9
Now since 1 boy extract so remaining students = 9 - 1 = 8
Probability of choosing second girl = Number of girls / Total students
⇒ 4//8
Probability of A and B = P(A) × P(B)
Therefore,
The probability that the first student chosen will be a boy and the second will be a girl = (5/9) × (4/8) = 0.28
Hence "The probability that the first student chosen will be a boy and the second will be a girl is 0.28".
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y=-65x+4/5 and a y intercept of -
Given the equation;
\(y=6x+\frac{4}{5}_{}\)Comparing the given equation to the slope-intercept form of linear equation;
\(\begin{gathered} y=mx+b \\ \text{where;} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}\)Then for the given equation;
\(\begin{gathered} \text{slope m = 6} \\ y-\text{intercept b = }\frac{4}{5} \end{gathered}\)Jon rode his bike at a constant speed. He rode 1 mile in 4 minutes.
Which of these equations represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?
Answer:
d/t=r or distance divided by time equals rate
Step-by-step explanation:
We can implement that formula to Jon’s problem. In his problem it will be 1/4 which equals one-fourth. So Jon’s rate is 1/4 mpminute.
A box contains 2 red marbles, 5 green marbles and 8 blue marbles. Find the probability of the different events.
P ( 3 blue ) =
P (blue & green)
The value of the probability of the different events are,
The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
We have to given that;
A box contains 2 red marbles, 5 green marbles and 8 blue marbles.
Hence, Total marbles = 2 + 5 + 8 = 15
So, The value of the probability P (3) is,
⇒ 3 / 15
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/15 x 5/15
⇒ 8/15 x 1/3
⇒ 8 / 45
Thus, The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
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if a to b ratio, b to c ratio, c to d ratio, are given, then express a to d in terms of given ratios
The ratio of a to d can be expressed by multiplying the ratio of a to b, b to c, and c to d. Therefore, a to d = (a to b) x (b to c) x (c to d).
The ratio of a to d can be determined by using the given ratio of a to b, b to c, and c to d. To begin, the ratio of a to b can be expressed as a:b, the ratio of b to c can be expressed as b:c, and the ratio of c to d can be expressed as c:d. Then, the ratio of a to d can be determined by multiplying the ratios of a to b, b to c, and c to d. This can be written as (a:b) x (b:c) x (c:d). Therefore, the ratio of a to d can be expressed as (a:b) x (b:c) x (c:d). For example, if the ratio of a to b is 2:3, the ratio of b to c is 4:5, and the ratio of c to d is 6:7, then the ratio of a to d would be (2:3) x (4:5) x (6:7) or 24:35.
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A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $14 per square foot. How much will it cost to replace the glass? Use 3.14 for it.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
lenght unit = 1 ft
glass price = $14 peer square foot
total cost = ?
Step 02:
Circumference area
Ac = π * r ²
r = 2 ft
Ac = 3.14 * (2ft)² = 12.56 ft²
Parallelogram area
Ap = b * h
b = 5 ft
h = 4 ft
Ap = 5ft * 4ft = 20 ft²
Total Area :
At = Ac + Ap = 12.56 ft² + 20 ft² = 32.56 ft²
Step 03:
Total cost:
\(tc=32.56ft^2\cdot\frac{14\text{ \$}}{1ft^2}\text{ = }455.84\text{ \$ }\)The answer is:
The total cost will be $455.84.
A sword is 100 centimeters long. That's 10 centimeters longer than 3 times h, the length of the hilt, or handle. Write and solve an equation to find h.
Answer:
0
Step-by-step explanation: