Answer and Step-by-step explanation:
Hey there!
To finish the function table, all you need to do is plug in the x value into the function, which in this case is g(x)=2x+2
*Remember, the "x-value" is the input and the "y-value" is the output*
The first input is -5
2(-5)+2
-10+2
g(x) = -8
The second input is -1
2(-1)+2
-2+2
g(x) = 0
The third input is 1
2(1)+2
2+2
g(x) = 4
The fourth input is 4
2(4)+2
8+2
g(x) = 10
The fifth input is 5
2(5)+2
10+2
g(5) = 12
Answer:
see below
Step-by-step explanation:
g(x) = 2x+2
Let x = -5 g(-5) = 2(-5) +2 = -10+2 = -8
Let x = -1 g(-1) = 2(-1) +2 = -2 +2 = 0
Let x = 1 g(1) = 2(1) +2 = 2+2 = 4
Let x=(4) g(4) = 2(4) +2 = 8+2 = 10
Let x = 5 g(5) = 2(5) +2 = 10+2 = 12
In a recent survey of gun control laws, a random sample of 1000 women showed that 65% were in favor of stricter gun control laws. In a random sample of 1000 men, 60% favored stricter gun control laws. Construct a 95% confidence interval for p1 − p2.
Answer:
[tex]CI\approx\{0.0076,0.0924\}[/tex]
Step-by-step explanation:
The formula for a z-confidence interval for a difference of proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}[/tex]:
Let [tex]\hat{p}_1=0.65[/tex] to represent the sample proportion of [tex]n_1=1000[/tex] women who are in favor of stricter gun control laws and let [tex]\hat{p}_2=0.60[/tex] to represent the sample proportion of [tex]n_2=1000[/tex] men who are in favor of stricter gun control laws.
A 95% confidence level corresponds to a critical value of [tex]z^*=1.96[/tex], so now we perform the necessary calculations assuming conditions are met:
[tex]\displaystyle CI=(0.65-0.60)\pm 1.96\sqrt{\frac{0.65(1-0.65)}{1000}+\frac{0.60(1-0.60)}{1000}}\approx\{0.0076,0.0924\}[/tex]
Hence, we are 95% confident that the true difference in the proportion of women and men who favor stricter gun control laws is between 0.0076 and 0.0924
Since the interval does not contain "0" and only contain values greater than "0", it is more likely that the proportion of women who were in favor of stricter gun control laws is higher than the proportion of men who were in favor of stricter gun control laws.
When the common ratio of an
infinite geometric sequence is
less than 1, its sum can be
found by the formula
a
where s is the sum, a is the first
term, and r is the common
ratio, What is the sum of the
geometric sequence below?
16,8,4,2.
The sum of the infinite geometric sequence 16, 8, 4, 2 is 32
How to find the sum of a geometric sequence?The sum can be represented as follows:
s∞ = a / 1 - r
where
r = common ratio
a = first term
Therefore,
r = 8 / 16 = 1 / 2
a = 16
hence,
s = 16 / 1 - 1 / 2
s = 16 / 1 / 2
s = 16 × 2 / 1
s = 32
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What is the distance between (-5, 2) and (-1, 6). Round to the nearest tenths if necessary. You can either graph it or use the distance formula below.
Answer:
Hope the picture will help you........
11. What is the equation of the median-median line for the dataset in the table?
X Y
2 6
4 22
6 30
8 24
10 40
12 46
14 52
16 72
18 60
20 64
The equation of the median-median line for given data will be y = 3x + 10. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The data set in the table is given below.
X Y
2 6
4 22
6 30
8 24
10 40
12 46
14 52
16 72
18 60
20 64
For the above after dividing the above data into 3 parts of the set (3,4,3)
Then the equation of the median-median line for given data will be
y = 3x + 10
Then the correct option is A.
More about the linear system link is given below.
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How can you tell whether two graph functions
represent inverse functions or not?
Answer:
If is not one to one is not inverse (no inverse)
Step-by-step explanation:
Find the greatest common factor.
7x³a +7x²a²
Enter the correct answer.
Answer:
7x²a(x + a)
Step-by-step explanation:
7x³a = 7 * x * x * x * a
7x²a² = 7 *x * x * a *a
Common factor = 7x²a
So we have to take the common factor from the two terms
7x³a + 7x²a² = 7x²a ( x + a)
Choose the correct measurement of the scissors to the nearest inch.
16 out of 80 baseball players are left handed.
What percent of the players are left handed?
Answer:
20% of players are left-handed
Step-by-step explanation:
First, find how much each player is worth percent-wise
100 / 80 = 1.25
Then find out how much percent of players that makes up
1.25 x 16 = 20
The answer is 20% of players are left-handed, to check it you could do
80 * 0.2 = 16
(80 = total players, 0.2 = 20%, 16 = total left handed players)
Enter the coordinates of the point on the unit circle at the given angle. 120°
The coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.
What is the polar equation?A polar coordinate system is a two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane.
We have an angle of 120 degree
θ = 120 degree
r = 1 unit
As we know, the coordinate in the polar form from the rectangular form is:
x = rcosθ = cos120 = -1/2
y = rsinθ = sin120 = √3/2
Thus, the coordinate is (-1/2, √3/2) and the missing values will be 2 and 3 if the angle is 120 degree.
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Factor completely.
5x² + 25x + 20 =
Answer: 5(x + 1)(x + 4)
Step-by-step explanation Tell me if it is wrong
You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 10 years?
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The amount that will be in the account after 10 years is $651.56.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
The principal amount is $400 which is invested for a period of 10 years at an interest rate of 5% annually. Therefore, the amount in the account after 10 years will be,
[tex]A = P(1+ \dfrac{r}{n})^{nt}\\\\A = \$400 (1+ \dfrac{0.05}{1})^{1 \times 10})\\\\A=\$651.56[/tex]
Hence, the amount that will be in the account after 10 years is $651.56.
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i need help finding the orignal price
There are 22 fourth-grade students and 26 fifth-grade students who became
cheerleaders. Each cheerleading group will have 8 members. Which equation
can be used to find out how many groups can be made?
(22 + 26) / 8 = x
(/ this means division)
. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!
Using the normal distribution, it is found that 84 people would be expected to have BP > 160.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation for the BPs are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The proportion of adults with BP > 160 is given by one subtracted by the p-value of Z when X = 160, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 122}{22}[/tex]
Z = 1.73
Z = 1.73 has a p-value of 0.9582.
1 - 0.9582 = 0.0418.
Out of 2000 people:
0.0418 x 2000 = 83.6.
Rounding to the nearest integer, 84 people would be expected to have BP > 160.
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Please solve (17 points)
Answer:
50.6
Step-by-step explanation:
PLEASEEEEE HELPPP MEEEEEE
Answer:
(4:-4)
Step-by-step explanation:
the graphs y- axis starts at 4 and ends at -4
10.4 sides polygon with 2 sides of parallel sides. What type of polygon is it?
Answer:
Here is the answer:
Step-by-step explanation:
An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.
Does (84,-7) has one, two or no solution?
Answer:
No sollution
Step-by-step explanation:
It simple
solve quadratic 2x^2 -7 +6 =0
Answer:
Assuming you meant 2x^2-7x+6=0,
the answer is x=2, x=1.5
Use the quadratic formula. (-b (+ or -) sqrt(b^2 - 4ac) )/ (2a)
Multiple Choice Find AD and ED for parallelogram ABCD.
A) AD = 13
B) ED = 13
C) ED=9
D) ED = 16
E) AD = 9
F) AD = 16
Answer: A, C
Step-by-step explanation:
Diagonals of a parallelogram bisect each other, so [tex]4x-7=2x+1 \longrightarrow x=4[/tex]. So [tex]ED=4(4)-7=\boxed{9}[/tex].
Opposite sides of a parallelogram are congruent, so [tex]8y-3=3y+7 \longrightarrow y=2[/tex], so [tex]AD=8(2)-3=\boxed{13}[/tex]
Pls tell how did she get
1.15m il will marke brainliat
Answer:
Step-by-step explanation:
1.15 represents a 15% increase so if you want a 15 % increase from last year, you would multiply 1.15 by m to get 1.15m
:)
Which three side lengths best describe the triangle in the diagram?
Answer:
Option C . 6 cm , 8 cm and 10 cm
Step-by-step explanation:
Question : Which three side lengths best describe the triangle in the diagram?
Solution :As we can clearly see measurement of the scale [ refer to attachment ]
In Triangle ABC
AC = 6 cm CB = 10 cmAB = 8 cmTherefore option C is Correct.
rewrite the equation in Ax+By=C form. use intergers for A,B,C
y=1/5-1
Answer:
[tex]5y=-4[/tex]
Sure hope this helps you :D
PLEASE HELP 15 POINTS!!!
Sequence: 24 + 12 + 6 + 3 +...
Explanation:
This is infinite geometric series converges.
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify the following
a1 = 24r = 12 ÷ 24 = 1/2Solve:
[tex]\rightarrow \sf S \infty \ =24\ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]
[tex]\rightarrow \sf S \infty \ =48[/tex]
This is series has a sum of 48.
3f–4g=1
6f–6g=5
use the elimination method
Identify the intercepts of the graph.
Answer: X-ints = (-1,0) and Y-ints = (1,0)
Step-by-step explanation:
This is quite simple. The way to solve this problem is by visualization, if you have learned how coordinates are created, this is how you would do it.
In a 2D plane, you have an X and Y axis and coordinates are created in the form of (X,Y).
by simply looking at the graph, I can see how the line crosses the positive 1 in the Y-axis, and -1 in the X-axis.
Part A) asks to find the X-intercept(s) which as stated above, it croses -1 on the X-axis and 0 on the Y-axis. Therefore the intercept is:
(-1,0)
part B) asks the same but for the Y-intercepts. We look at the graph and see the line crosses positive 1 in the Y-axis, and 0 in the X-axis. So:
(0,1)
done :)
Given a triangle ABC at points A=(-4,-3) B=(4, 5) C=(2,-4), and if the triangle is
dilated with a scale factor of 3, centered at the origin, find the new point C'.
Answer: (6,-12)
Step-by-step explanation:
For dilations centered at the origin, we can multiply each of the coordinates by the scale factor. This means that [tex]C'=(2 \times 3, -4 \times 3)=\boxed{(6, -12)}[/tex]
Two arithmetic means between 3 and 24 are -
The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
What is arithmetic mean?Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;
[tex]t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}[/tex]
The second and 3rd term are:
[tex]A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}[/tex]
Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
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2. Which theorem would show that x = 5 in the diagram?
Answer:
Midsegment theorem for Traoezoids
Step-by-step explanation:
I hope it helps you
Solve the inequality and graph the solution
x +1 2/5 _< 6 8/10
Answer: x < 5 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{8}{10}[/tex]
x + 1 [tex]\frac{2}{5}[/tex] < 6 [tex]\frac{4}{5}[/tex]
x < 5 [tex]\frac{2}{5}[/tex]
graph is attached