Answer:
a systematic random sample
Consider the figure shown below. Find the value of BL
Answer:
BL = 2
Step-by-step explanation:
Given:
AL = 3
AC = 10
BC = 9
AL = AM = 3 (tangents drawn form am external point)
CM = AC - AM
CM = 10 - 3
CM = 7
CM = CN = 7 (tangents drawn form am external point)
BN = BC - CN
BN = 9 - 7
BN = 2
BN = BL = 2 (tangents drawn form am external point).
BL = 2
Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sister who is two years younger than him. If the product of his sisters' ages is 70, how old is Richard?
Answer:
7 years
Step-by-step explanation:
Given that:
Let Richard's age = x
Elder sister's age = 2x
Youngwr sister's age = x - 2
Product of sisters ages = 70
2x * (x - 2) = 70
2x² - 4x = 70
2x² - 4x - 70 = 0
x² - 2x - 35 = 0
x² - 7x + 5x - 35 = 0
x(x - 7) +5(x - 7) = 0
(x - 7) or (x + 5) = 0
x = 7 or x = - 5
X can't be negative
Hence, x = 7
Richard is 7 years
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
sales
Answer:
12 sales
Step-by-step explanation:
a and b
65 per sale maximum commision 1300 so no base
40 per sale base 300
Set up equation:
[tex]65x=40x+300[/tex]
Solve:
[tex]25x=300[/tex]
[tex]x=12[/tex]
So they must have had 12 sales.
Hope this helps :D
Combine like terms to simplify each expression.
1) -3x + 7x
Answer:
4x
Step-by-step explanation:
-3x + 7x
(-3 + 7)x
4x
Answer:
4x
Step-by-step explanation:
to make it easier, remove the x:
-3+7
Add:
4
Put the X back:
4x
This method will not always work for every problem.
Plz help...kinda confused.....only answer if ya know....:)
-3=-v+7
v=
Answer:
-3 = -v + 7
-3 - 7 = -v
3+7 = -v
-10 = -v
10 = v
Step-by-step explanation:
this is the answer i got, using basic algebra...
i hope this helps....
have a great day ahead :)
Answer:
v = 10
Step-by-step explanation:
[tex]-3=-v+7\\\\-v+7=-3\\\\-v+7-7=-3-7\\\\-v=-10\\\\\frac{-v=-10}{-1}\\\\ \boxed{v=10}[/tex]
Hope this helps.
What is the domain of f(x) = 5x?
A. All real numbers greater than or equal to 5
B. All numbers greater than 5
C. All real numbers
D. All nonnegative real numbers
i am in doubt in this task... Thanks
Answer:
the answer is a
Step-by-step explanation:
1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D
Answer:
B. $5.94
Step-by-step explanation:
PLZ HELP ASAP 30 POINTS!!! write the equation of the line in standard form and slope-interpret form.
standard form:
slope-interpret form:
The area of a circle is 25pie in.2. What is it’s radius?
The area of a circle is PI x r^2
25PI = PI x r^2
Divide both sides by PI:
25 = r^2
Take the square root of both sides:
Radius = 5 inches.
Answer:
5 is the radius.
Step-by-step explanation:
Since the formula for area in a circle is [tex]\pi r^{2}[/tex], we can substitute 25 for r squared.
Since 25 is equal to r squared, it means that r is equal to 5.
5 is the radius.
#teamtrees #WAP (Water And Plant)
i’ll mark brainliest
Answer:
A
Step-by-step explanation:
ok so pretend the 2.00 was just 2 so whats 8 divided by 2? 4 right so if we test that witht he other problems its the same so its A
Hope this helps!!!! :D
What is 100000000000000x234500000020000030040040
Answer:
234500000020000000000000000
Step-by-step explanation:
if f(x) = 4x+3, find f-1 (x)
Answer: x=1/4y + -3/4
Step-by-step explanation:
solve for p2. p1v1 = p2v2
Answer:
P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]
Step-by-step explanation:
Given expression:
Boyle's law:
P₁ V₁ = P₂ V₂
Problem is to find P₂;
Solution:
P₁ V₁ = P₂ V₂
To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];
P₁ V₁ x [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂ x [tex]\frac{1}{V_{2} }[/tex];
[tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;
P₂ = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]
If m varies directly as v² and m =3, when v=2, calculate the value of m when v=9
Answer:
m=243/4 when v=9.
Step-by-step explanation:
We know that when y varies directly with x², the formula of direct proportion is
y=kx²where 'k' is the constant of variation.
so
As m varies directly with v², and m=3 when v=2
m=kv²
k=m/v²
= 3/(2)²
=3/4
Hence, k=3/4
so when v=9 then the expression becomes
m=kv²
substituting v=9 and k=3/4
m= 3/4(9)²
=3/4 × 81
=243/4
Therefore, m=243/4 when v=9.
what is the answer to this equation ... 3 + 2c + 5c + 2 ??
Answer:
solution:7c+5
A college information pamphlet provides some statistics about the students and the professors to help high school seniors decide if they want to attend the college. The pamphlet lists the ratio of students to professors as 18 to 1. If there are 702 students at the college, how many professors are there?
Answer:
39
Step-by-step explanation:
Setting up your problem and solving:
In the question it says the ratio is students to professors right? So 18 to 1.
Write that down: Students to Professors is 18 to 1.
We know that there are 702 students in that college correct?
Write that down: 702 students in the college
We are trying to find how many professors there are so...let's do that.
Number 1:
Set your equation: have your fraction bar and equal sign like this: --- = ---
On the top, we have 1 so... 1/? = ?/?
On the other top we have the x...: 1/? = x/?
Why? Because we do not know the total of professors there are so that is X.
We put the number 1 on the other side because we know that there is only 1 out of 18 professors to students.
Number 2:
On the bottom, we will have 18...: 1/18 = x/?
On the other bottom we have 702...: 1/18 = x/702
Why? Because we know that there is a total number of 18 to 1 students on the ratio and a real total of 702 students.
Number 3.
Now you have your equation set up: 1/18 = x/702
The next step is yours: cross multiple, divide on the bottom or top or find the comparison.
I'm going to divide by the bottom okay? so.. 18/702
Set that up.
(702/18)
702/18 is 39!
SO in the end there is a total of 39 professors!
'x=39'
Hoped this helped! :)
Educators in Michigan have been trying to raising math achievement scores for several years without success. Results from the state assessment test given in fourth grade show that 52% of all fourth graders cannot subtract when borrowing from zero (regrouping with zero in the subtrahend). Two new techniques for teaching this concept have been developed by teachers who belong to the Michigan Council of Teachers of Mathematics. It is decided that each technique be used in randomly selected classrooms throughout the state. Sixty third-grade classrooms are selected to try each of the techniques. Results from the state assessment test will then be monitored for each of the next two years to see whether either of the two techniques will be effective in teaching subtraction from zero. Sixty-three percent of the students who were taught with first technique passed the objective. Only 32% of students who were taught with the second technique passed the objective.
1. The population is:______.
A. All fourth graders in Michigan.
B. All third graders in Michigan.
C. The students who were in the 60 third-grade classrooms that used each technique.
D. All students in fourth grade who were taught with one of the techniques.
2. The sample is:______.
A. All fourth graders in Michigan.
B. All third graders in Michigan.
C. The students who were in the 60 third-grade classrooms that used each technique.
D. All students in fourth grade who were taught with one of the techniques.
3. An example of a parameter in the study is:______.
A. 63% of the students taught using technique 1 achieved the objective of subtracting from zero.
B. 32% of the students taught using technique 2 passed the state objective test.
C. 52% of all fourth graders in Michigan cannot subtract from zero.
D. 52% of all fourth graders in Michigan cannot pass the fourth-grade mathematics state assessment test.
4. An example of a statistic in the study is:_______.
a. 63% of the students taught using technique 1 achieved the objective of subtracting from zero.
b. 32% of the students taught using technique 2 passed the state objective test.
c. 52% of all fourth graders in Michigan cannot subtract from zero.
d. both a & b.
e. all of the above.
5. The dependent variable is the:______.
A. Results from the fourth-grade state assessment test in mathematics state assessment.
B. Instruction in math in third grade.
C. Two new techniques for teaching subtraction from zero.
D. Percentage of children who passed the objective subtraction from zero.
6. The independent variable is the:______.
A. Results from the fourth-grade state assessment test in mathematics state assessment.
B. Instruction in math in third grade.
C. Two new techniques for teaching subtraction from zero.
D. Percentage of children who passed the objective subtraction from zero.
Answer:
1. A. All fourth graders in Michigan.
2. C. The students who were in the 60 third-grade classrooms that used each technique.
3. C. 52% of all fourth graders in Michigan cannot subtract from zero.
4. d. both a & b.
5. D. Percentage of children who passed the objective subtraction from zero.
6. C. Two new techniques for teaching subtraction from zero.
Step-by-step explanation:
1. We can make this conclusion since an assessment test often comes after students undergo the required lessons (that is using taught the new techniques, so when they entered the fourth grade the assessment would be taken to determine their performance. Hence, the population of the study is the entire fourth-graders in Michigan.
2. The sample includes only students who made up the "60 third-grade classrooms that used each technique". In other words, they were the subject of the study.
3. Remember, a parameter often refers to numbers that summarize the entire data of a particular population. So we could say, that 52% of all fourth graders in Michigan that cannot subtract from zero make up the parameter.
4. A statistic is usually any resulting values gotten from a sample. Hence, both statements a and b are statistics from the sample.
5. Remember, the dependent variable is a variable that can be influenced by another variable; the independent variable. In other words, the percentage of children who passed the objective subtraction from zero could be affected by the independent variable.
6. The independent variable is the variable that could influence the dependent variable. In other words, the two new techniques for teaching subtraction from zero could influence "the percentage of children who passed the objective subtraction from zero."
PLZ HELP ASAP 20 POINTS!! wrote an equation in slope-intercept (y=mx+b) form for each line.
Answer: I’m sorry I cannot explain this any other way because I can not see the answers but —> If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line. ✨
Step-by-step explanation: hope it help you later on!
Answer:
Y= -4x + 3
Step-by-step explanation: because the x value goes with mx, and the y value goes with b. :)
What is the sum of the rational expression below? 3x/x+2 + x/x+4
A. 4x^2 +14x/x^2 + 6x + 8
B. 4x/2x + 6
C. 3x^2/x^2 + 8
D. 4x^2 + 4x +8/x^2 + 6x +8
The sum of the rational expression is (4x²+14x)/ (x²+6x+8)
How to find the sum of the rational expression?
A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.
To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):
3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)
= [3x²+12x + x²+2x] / (x²+4x+2x+8)
= (4x²+14x)/ (x²+6x+8)
Learn more about rational expression on:
brainly.com/question/29061047
#SPJ1
Your friend claims the measure of an exterior angle will always be greater than the sum of the nonadjacent interior angles measures. Is your friend correct> Explain your reasonings.
Answer:
your friend is wrong
Step-by-step explanation:
There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.
If you look at the attached image, °d = °a + °c
need help if you can....
Answer:
40, 80, 120
Step-by-step explanation:
0, 40, 80, 120, 160, 200
+40
Answer:
0, 40, 80, 120, 160, 200
Step-by-step explanation:
The numbers are decreasing by 40. 200-160=40. Therefore, we need to subtract 40 each time from every number we get.
160-40=120
120-40=80
80-40=40
Now, plug the numbers into the sequence. It should now look like this:
0, 40, 80, 120, 160, 200
I hope this helps you out!! Have a great day, and if you need any more help, let me know (✿◠‿◠)
a baker can bake 20 cakes per hour how long will it take him to bake 400 cakes
Answer:
20 hours
Step-by-step explanation:
400/20 is 20 which means to bake 400 cakes, he needs 20 hrs
f/13 = 6.2 what is the value of f
Answer:
The value of f is 80.6.
Step-by-step explanation:
We are given the equation and asked to solve for f.
If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.
For example, if you look at this equation:
[tex]\displaystyle\frac{a}{26}=17.9[/tex]
We can multiply both sides by 26 to get the a by itself so the equation can be solved.
[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]
Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]
[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]
Therefore, the value of f is 80.6.
Answer:
f = 80.6
Step-by-step explanation:
Multiply both sides by 13.
f /13 =6.2
( f /13 )*(13)=(6.2)*(13)
f = 80.6
(GR.7MATH)
Can somebody plz answer all these correct in simplify form thanks!
I’m confused on how to write in simplify so can somebody plz write it in that way.
WILL MARK BRAINLIEST
Answer:
dcc
Step-by-step explanation:
aajajaja
∠A and \angle B∠B are vertical angles. If m\angle A=(3x+26)^{\circ}∠A=(3x+26) ∘ and m\angle B=(x+20)^{\circ}∠B=(x+20) ∘ , then find the value of x.
Answer:
The value of x is -3
Step-by-step explanation:
The vertical angles are equal in measures∵ ∠A and ∠B are vertical angles
→ By using the rule above
∴ m∠A = m∠B
∵ m∠A = (3x + 26)°
∵ m∠B = (x + 20)°
→ Equate their measures
∴ 3x + 26 = x + 20
→ Subtract x from both sides
∵ 3x - x + 26 = x - x + 20
∴ 2x + 26 = 20
→ Subtract 26 from both sides
∵ 2x + 26 - 26 = 20 - 26
∴ 2x = -6
→ Divide both sides by 2
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{-6}{2}[/tex]
∴ x = -3
∴ The value of x is -3
can u help me with my math
1b think
I am not sure
A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway. What is the angle of depression for the descent of the plane?
Round to the nearest degree.
Answer:
Angle of depression = 3.37°
Step-by-step explanation:
We are told that A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60
kilometers from the runway.
I've attached an image of a triangle depicting this question.
From the triangle, we can find the angle of depression θ from trigonometric ratio since it's a right angle triangle.
Thus;
3.5/60 = tan θ
tan θ = 0.0583
θ = tan^(-1) 0.0583
θ = 3.37°
if a dog can eat one thirds of a bag of food in 1/2 a week how many bags of food can the dog eat in one week
Answer:
Two thirds of a bag.
Step-by-step explanation:
1/2 * 2 = 1
1/3 * 2 = 2/3
Hope this helped!
PLEASE HELP DUE TODAY !
Eight bags of chips and four sodas cost $5. Four bags of chips and eight sodas costs
$7. How much does a bag of chips cost? How much does a soda cost?
Answer:
let x be chips and y be sodas
8x + 4y = 5 ---> for the first hint
4x + 8y = 7------> second hint
0.25 cents is how much chips costs
and 0.75 cents is how much sodas costs
Answer: Each bag of chips is $0.25, each soda is $0.75.
(0.25 x 8) + (0.75 x 4) = 5
2 + 3 = 5
(0.25 x 4) + (0.75 x 8) = 7
1 + 6 = 7