Answer:
4/3 (assuming the (-4x 1) is (-4x+1))
Step-by-step explanation:
-3(-4x+1)=13
12x-3=13
12x=16
x=4/3
Answer:
x=4/3Step-by-step explanation:
-3(-4x1)=13<=>12x-3=13 <=>12x=16 <=>x=4/3square root -100= ___+___i
Answer is 10i
Step-by-step explanation:
Find the mean, variance and standard deviation of the binomial experiment. In a recent survey, 70% of the community favored building a police substation in their neighborhood. If 30 citizens are chosen, what is the mean number favoring the substation? What would be the variance and standard deviation of their responses?
Answer: Mean = 21 , Variance = 6.3 , standard deviation =2.51
Step-by-step explanation:
Formula for the mean, variance and standard deviation of the binomial experiment :
[tex]Mean = np\\\\ Variance = np(1-p)\\\\ Standard\ deviation = \sqrt{variance}[/tex]
, where n= sample size , p= population proportion.
As per given, p= 70%=0.7 , n=30
[tex]Mean = 0.7\times30=21\\\\Variance =(30)(0.7)(1-0.7)=(21)(0.30)=6.3\\\\ Standard\ deviation = \sqrt{6.3}\approx2.51[/tex]
Hence, Mean = 21 , Variance = 6.3 , standard deviation =2.51
A train company moves people between Boston and Providence every day. They travel from city to city 7 times each day. The distance between the two cities is 48 miles. In February, there are 28 days. The company's budget allows for 15,000 total miles in February. Do you think the budget is reasonable? Explain.
Answer: the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget
Step-by-step explanation:
Given data:
Distance between two cities = 48 miles
Number of days available in February = 28
February budget = 15000 miles
Solution:
If the distance between two cities = 48 miles, and 7 trips are made daily
= 48miles * 7
= 336 miles is travelled each day.
For February
= 28days * 336
= 9408 miles.
Budget – travel distance covered ( February)
= 15,000 - 9408
= 5592 miles.
The budget is reasonable because, by following the travel pattern or history the total travelled miles would be 9408 miles for February which is below the budget allowed by the company for the month.
So the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget.
The points in the table lie on a line. Find the slope of the line.
X
-3
2
7
12
у
0
2
1
6
The slope of the line is
N
Answer:
n
Step-by-step explanation:
Which graph shows the line y=35x−3?
Answer:
the last picture
Step-by-step explanation:
the one where the line hits the -3 mark on the y-axis
Answer:
this is how the graph should look
Step-by-step explanation:
Pleaseeee help im confused best answer will get brainliest.
Answer:
17y-9x
Step-by-step explanation:
12y-6x+5y-3x
12y+5y-6x-3x
17y-9x
Can someone help me on this Proofs problems? It's just number one and two.
See Explanation
Step-by-step explanation:
1. By interior angle sum Postulate of a triangle.
[tex] m\angle a+ m\angle y +m\angle z= 180\degree.... (1)\\\\
m\angle a+ m\angle w +m\angle x= 180\degree.... (2)\\\\[/tex]
From equations (1) & (2), we find:
[tex] m\angle a+ m\angle y +m\angle z= m\angle a+ m\angle w +m\angle x\\\\
m\angle y +m\angle z= m\angle w +m\angle x\\[/tex]
Hence proved
2. In [tex] \triangle PQS, \: \angle QSR [/tex] is exterior angle.
Therefore, by remote interior angle theorem, we have:
[tex] m\angle QPS + m\angle PQS= m\angle QSR\\\\
x + m\angle PQS= 2x\\\\
m\angle PQS= 2x-x\\\\
m\angle PQS = x.... (1)\\\\
m\angle QPS = x.... (given).... (2)\\[/tex]
From equations (1) & (2), we find:
[tex] m\angle PQS = m\angle QPS\\\\
\therefore \angle PQS \cong \angle QPS\\\\
\therefore PS \cong QS\\(sides\: opposite \: to\: congruent \:\angle s) \\\\[/tex]
[tex] \therefore \triangle PQS [/tex] is an isosceles triangle.
Thus proved.
The rectangle is 94 m long and 58 m wide find the area use the
Answer:
Area = 5452Step-by-step explanation:
Area = l times w
94 x 58 = 5452
Select all conditions for which it is possible to construct a triangle. A. Angle measures of 45 degrees, 45 degrees, and 90 degrees B. Triangle with side lengths of 4 cm, 5 cm and a 50 degree angle C. Angle measures of 120 degrees, 20 degrees, and 35 degrees D. Triangle with angle measures of 30 degrees, 60 degrees, and a side length of 3 cm
Answer:
It actually might be D or C
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
i just did a test over that and it said D
...
Pleas help me with this I hate math
Answer:
Not a function, as it fails the vertical line test.
Step-by-step explanation:
I dislike math as well.
Answer:
B. not a function
Step-by-step explanation:
One x value has more than one specific y value. To be a function one x value cannot have more than one specific y value.
The lesser of the two solutions to x(x + 4) = 21 is:
Answer:
Lesser is -7
Step-by-step explanation:
x(x+4) = 21
Distribute
x^2 + 4x = 21
x^2 + 4x - 21 = 0
x^2 + 7x - 3x -21 = 0
(x+7)(x-3) = 0
x=-7, 3
PLS MARK BRAINLIEST
HELP PLEASE I NEED THIS QUESTION
9514 1404 393
Answer:
B. 75.8 ft²
Step-by-step explanation:
The height of each triangle can be found using the Pythagorean theorem. The given edge length (7 ft) is the hypotenuse of the triangle, and the base edge length is twice one leg of the triangle.
The height of the triangle on the 2 ft faces is ...
√(7² -1²) = √48 = 4√3
The height of the triangle on the 8 ft faces is ...
√(7² -4²) = √33
The areas of the triangular faces are the product of the height and half the base length:
A = 1/2bh
2 ft edge triangle area = (1/2)(2 ft)(4√3 ft) = 4√3 ft²
8 ft edge triangle area = (1/2)(8 ft)(√33 ft) = 4√33 ft²
__
The area of the rectangular base is ...
A = LW
A = (8 ft)(2 ft) = 16 ft²
__
The total surface area of the pyramid is the sum of the areas of the triangular faces and the area of the rectangular base.
2(4√3 +4√33) +16 = 8(2+√3+√33) ≈ 75.813
The total surface area is about 75.8 ft².
The sum for three numbers is 57 the second number is 2x the first the third number is 18 less than the second what is the third number
Step-by-step explanation and answer:
consider the numbers x,y,z
X+y+z=57
2x=y-6
y=10+z
y=2x+6
z=y-10
=2x+6-10
z=2x-4
x+y+z=57
x+2x+6+2x-4=57
5x+2=57
5x=55
x=11
y=27
z=18
Select the best answer.
1. A principal spent $1780 on c calculators
for her school. Write an expression that
shows the cost of one calculator?
Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3
Answer:
[tex]y=\frac{5}{3}x+4\frac{2}{3}[/tex]
Step-by-step explanation:
slope-intercept form: y = mx + b
Given:
Slope(m) = [tex]\frac{5}{3}[/tex]
Point = (-1, 3)
To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:
[tex]3=\frac{5}{3}(-1)+b[/tex]
[tex]3=-\frac{5}{3}+b[/tex]
[tex]4\frac{2}{3}=b[/tex]
Now that we know the values of b and m, we can write the equation:
[tex]y = \frac{5}{3}x+4\frac{2}{3}[/tex]
Cherries are on sale for $16 for 4 pounds. Jordyn pays $27.20 for cherries to make a pie. How many pounds of cherries does she buy?
Determine the
constant of
proportionality.
Answer:
Step-by-step explanation:
Time is 2 miles 110 is 55 miles per hr
5 hrs *55 mph= 275
12*55= 660
Yes it is in proportion.
CDE~CKJ
HELP PLEASE!!!
Answer:
nah i said D first
\
Step-by-step explanation:
30 POINTS!! WHOEVER ANSWERS FIRST GETS BRAINLIEST! Jim wanted to find out what the audience thought about the debate. After the event,
Jim stood at the exit to survey every fifth guest.
Was this a random or a biased sample and why?
O A.
This was a biased sample. Jim should interview all in attendance.
OB.
This was a census. Any guest may have participated.
OC.
This was a random sample. It may not have included anyone in attendance.
O D.
This was a random sample. It may have included anyone in attendance.
Answer:
c
Step-by-step explanation:
i know its c
Answer:
Bru you did not give 30 points smh but its c
Step-by-step explanation:
Jordana drew the function below. Which statement correctly explains whether or not her function is linear?
On a coordinate plane, a parabola opens up.
A. It is linear because it has a constant rate of change.
B. It is linear because it does not have a constant rate of change.
C. It is not linear because it has a constant rate of change.
D. It is not linear because it does not have a constant rate of change.
D.it is not linear because it does not have a constant rate of change
Answer:
d
Step-by-step explanation:
i took the test
What is the greatest common factor (GCF) of 36 and 54?
A.
27
B.
18
C.
9
Answer:
The answer is (B. 18) and I believe this is correct because 2×18=36 & 3×18=54
(I really do hope I made it understandable and hope it helps)
Sara borrows $56 from her mother to buy a new pair of jeans. If
Sara decreases her debt by $4 each week, how many weeks will
it take her to pay off the whole amount she owes her mother?
Answer:
Have an amazing night/day!
Step-by-step explanation:
14 i think ill edit if im wrong
need answer asap! will give brainiliest!!!
what are the steps for graphing linear equations?
Help me pls this is a test I need a good grade
Answer:
81.05/20 is the better deal and the unit rate is $4.05
Step-by-step explanation:
hopefully this helps :)
Answer:
the second deal is better. the unit rate is 4.05/gal
Step-by-step explanation:
106/25=4.24
81/20=4.05
Hi can someone plz help me thank you
Mark has a collection of $20 bills and $5 bills. He has a total of 6 bills totaling $75.00. How many of each type of bill does he have?
You have to write and solve the system using elimination or substitution, please help
Answer:
He has 3 $20 and 3 $5
Step-by-step explanation:
20 x 3 = $60
5 x 3 = $15
15 + 60 = $75
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many
students are girls?
Answer:
There are 15 girls and 21 boys
Step-by-step explanation:
Answer:
15 girls
Step-by-step explanation:
T=4U/E SOLVE FOR U please please please help please thank you
What’s the constant of proportionality of the relationship shown in the graph?
Answer: It's 3
Step-by-step explanation:
Helppp ASAP plzz!!! Hurry
Answer:
Corresponding Angles
Step-by-step explanation:
They are the same
Answer:
Corresponding angles.
Step-by-step explanation:
Love your Christmas tree BTW!