Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting taxes; 59% of those asked said "yes." Suppose that in fact 62% of all adults favor balancing the budget over cutting taxes. If this poll was not biased, what is the probability you would get p^=0.59 or less?
Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]In this problem:
1,190 adults were asked, hence [tex]n = 1190[/tex]In fact 62% of all adults favor balancing the budget over cutting taxes, hence [tex]p = 0.62[/tex].The mean and the standard error are given by:
[tex]\mu = p = 0.62[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141[/tex]
The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.59 - 0.62}{0.0141}[/tex]
[tex]Z = -2.13[/tex]
[tex]Z = -2.13[/tex] has a p-value of 0.0166.
0.0166 = 1.66% probability of a sample proportion of 0.59 or less.
You can learn more about the normal distribution and the central limit theorem at https://brainly.com/question/24663213
5+7x to the power of 2+4x
Answer:
7x^2 + 4x + 5
Step-by-step explanation:
hope that work
F(x) = -4x + 3, find f(-3)
[tex]f(x) = -4x +3\\\\f(-3) = -4(-3) +3 = 12 +3 = 15[/tex]
What is the value of 8.25p + 3.99c, when p=11 and c= 7? *
Answer:
Your answer is p=3.99;$51.87
One-third of a number b times -2 is less than or equal to -11/6
Answer:
Step-by-step explanation:
Ignore the 0,0 at the top of the paper but that should be the equation.
amplitude of y=-2sin(3x)+6
Answer:
amplitude = 2
Step-by-step explanation:
Given sine in standard form
y = asinbx + c
amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift
Given
y = - 2sin(3x) + 6
amplitude = | - 2 | = 2
How do I solve for x?
Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.
So,
16 = x + 36
16 - 36 = x
-20 = x
______
Hope it helps ⚜
help pls!! I will mark brainliest!! :(
Answer:
Three choice
Step-by-step explanation:
I think.
LOOK AT THE IMAGE!!!!!
Answer:
a. 3/10
b. 1/10
c. 4/10 or 2/5
Step-by-step explanation:
There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.
To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5
Simplify.
(2⁴)³
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee
Answer:
4096
Step-by-step explanation:
Explanation:
The rule we use is (a^b)^c = a^(b*c). It says to multiply the exponents when we raise one exponential expression to another exponent. The base stays the same.
So, (2^4)^3 = 2^(4*3) = 2^12
You could take the slightly longer path to say the following
(2^4)^3 = (2^4)*(2^4)*(2^4) = 2^(4+4+4) = 2^12
Determine the intercepts of the line.
Answer:
y-intercept: (0, 5/2)
x-intercept: (5/3, 0)
Step-by-step explanation:
The y-intercept is found by setting x=0 and dividing by the coefficient of y.
0 +2y = 5
y = 5/2
The x-intercept is found by setting y=0 and dividing by the coefficient of x.
3x +0 = 5
x = 5/3
The intercepts are ...
y-intercept: (0, 5/2)
x-intercept: (5/3, 0)
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
A magnifying glass makes an image appear 10times larger than its actual size. If the magnified image appears to be 1inch, what is the actual size of the image?
0.01
inch
0.01 inch
0.1
inch
0.1 inch
10
inches
10 inches
100
inches
100 inches
Answer:
0.1 Inch
Step-by-step explanation:
If the image is 0.1 inch, and it is magnified by 10, 0.1 times 10 will give you the new size of the image after it is magnified. You can undo it by dividing 10 since you would multiply it to magnify it.
Practice A:
(first taught ir
lesson 14)
400 has how many 3/4 in it? Make sure your
answer is fully reduced.
Answer:
The answer is
→ 533.333333333 or 533.33 (Rounded up to the hundredths)
Step-by-step explanation:
Given: How many 3/4 can fit in 400.
Solve:Step 1: Indentify what 3/4 equals.
3/4 = 0.75
Step 2: Divide 400 by 0.75
400 / 0.75 = 533.333333333
Step 3: Round up to the hundredths.
533.333333333 → 533.33
Hence, 533.333333333 or 533.33 is your answer.
- ✨7272033Alt✨Solve the inequality
4x - 19 ≥ -27
The answer is X>-2. I uploaded a picture of the steps below. Hope this helps. :)
25-foot wire connects the top of a utility pole to a point on the ground located 7 feet away from the base of the pole.
If h represents the height of the pole, what is its measure?
A. 175 ft.
B. 24 ft.
C. 674 ft.
D. 1250 ft.\
dont be a b**ch and put a link
Answer:
B. 24 ft.
Step-by-step explanation:
25 would be the hypotenuse of a triangle and 7 is a leg, so
7^2 + x^2 = 25^2
49 + x^2 = 625
x^2 = 576
x = 24 ft
Answer:
The answer is B I took the test but used the person above me and it was right.
Step-by-step explanation:
Can someone help me with this problem please!
Answer:
can you send in a better photo i cannot see it clearly
Step-by-step explanation:
A triangle can have the side lengths of: 1, 10, and 10.
O True
O False
Answer:
True
Step-by-step explanation:
If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.
Find the x in the figure. Assume a and b are parallel
Answer:
x = 15
Step-by-step explanation:
(4x - 30) and (2x) are alternate angles and are congruent , then
4x - 30 = 2x ( subtract 2x from both sides )
2x - 30 = 0 ( add 30 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
What is the value of y?
Answer : i believe 100 X is 13 Z is 12
Step-by-step explanation:
sorry if im wrong
A ream of paper contains 480 sheets. Each sheet is 0.014 cm thick. Find the thickness of the ream of paper.
Answer:
19.2 cm
Step-by-step explanation:
480×0.014
=19.2
Is 1/-4 the same as -1/-4
A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?
Answer:
3,052 cubic inches
Step-by-step explanation:
·· A beach ball has a spherical shape
·· Formula to calculate the volume of a sphere is given as:
In the question, we are given
Diameter = 18 inches
We have to find the radius
Radius = Diameter/2
Radius = 18 inches/2
Radius = 9 inches
The volume of the beach ball =
= 3,052.08 cubic inches
Approximately to the nearest whole number = 3,052 cubic inches
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. If Elena
wants to order for the year, how many quarts of shampoo does she need to order?
The number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Let suppose that she needs to order n quarts of shampoo in a year.
As it is known that there are total 12 months in a year and Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Thus, the number of quarts of shampoo does she need to order is,
[tex]n=5.4\times12\\n=64.8\\[/tex]
Thus, the number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
Learn more about the unknown variable here;
https://brainly.com/question/1235185
#SPJ2
2 1/5 liters of water and 1 1/3 liters of juice are used for a team breakfast,
How many liters of drink were used for the breakfast?
Enter your answer as a mixed number in simplest form by filling in the boxos,
Answer:
3 8/15
Step-by-step explanation:
2 1/5 + 1 1/3 = 3 8/15
Select the correct answer.
Which expression in factored form is equivalent to this expression?
Which decimals round to 2.5 when rounding to the nearest tenth
Answer:
2.45, 2.46, 2.47, 2.48, 2.49, 2.52, 2.52, 2.53 and 2.54 all round to 2.5 when being rounded to the nearest tenth.
Tenth = 0.1.
Hope that helps. x
2) 4x - 4y = -12
x + 4y = -18
Solve by elimination
[tex]\left \{ {{4x - 4y = -12} \atop {x + 4y = -18}} \right. <=>\left \{ {{5x=-30} \atop {x + 4y = -18} \right. <=> \left \{ {x=-6} \atop {y=-3} \right.[/tex]
ok done. Thank to me :>
what are some expressions that are equivalent to 3(7x–6).
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3(7x - 6)}\\\large\rightarrow\textsf{3(7x) + 3(-6)}\\\large\rightarrow\textsf{21x - 18}\\\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{21x - 18}}}\huge\checkmark[/tex]
[tex]\large\textbf{Note: All you had to do is DISTRIBUTE 3 the}\\\large\textbf{WITHIN PARENTHESES. }\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
yo can i get some help with this
Answer:
14
Step-by-step explanation:
Answer:
16 + 2 = 14 + 4
? = 14
Step-by-step explanation:
Question
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by
910+(−710)+810+(−610)+⋯+310+(−110)+210.
How much water is in the tank after 15 days? Write your answer as a decimal.
Answer:
ililil
Step-by-step explanation: