=======================================================
Explanation:
Having the salary increase by 3% means we can use the multiplier 1.03
Think of it like 100% + 3% = 1 + 0.03 = 1.03
The new salary is 52,000*1.03 = 53,560 dollars
----------------
The slightly longer way to do this is to first figure out how much 3% of 52,000 is
3% of 52,000 = 0.03*52,000 = 1560
Ricardo earns $1560 more dollars on top of the salary of $52,000
So overall his new salary is $1,560 + $52,000 = $53,560
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Personally, I prefer the first method because it's quicker and it allows for multiple percentage increases to chain together. It also could be used to chain in percentage decreases as well.
Find each. a. za_2 for the 99% confidence interval b. za_2 for the 98% confidence interval c. za_2 for the 95% confidence interval d. za_2 for the 90% confidence interval e. za_2 for the 94% confidence interval
Answer:
a) Z = 2.575.
b) Z = 2.327.
c) Z = 1.96.
d) Z = 1.645.
e) Z = 1.88.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Question b:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Question c:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Question d:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Question e:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.94}{2} = 0.03[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.03 = 0.97[/tex], so Z = 1.88.
the mathematical model y= 2/x is an example of what variation? Joint variation, inverse variation, indirect variation, linear variation, or direct variation?
Answer:
inverse variation
Step-by-step explanation:
Thiis is the model for inverse variation. As x increases, y decreases, and vice versa.
Typical example:; y = 5/x
a basketball team playd 64 games they won 28 more than they lost
(08.07 MC)
A polynomial function is shown below:
f(x) = x3 − 3x2 − 4x + 12
Which graph best represents the function? (5 points)
Answer:
Graph A (first graph from top to bottom)
Step-by-step explanation:
Given [tex]f(x)=x^3-3x^2-4x+12[/tex], since the degree of the polynomial is 3, the function must be odd and will resemble the shown shape in the graphs. The degree of 3 indicates that there are 3 zeroes, whether distinct or non-distinct. Therefore, the graph must intersect the x-axis at these three points.
Factoring the polynomial:
[tex]f(x)=x^3-3x^2-4x+12,\\f(x)=(x+2)(x-2)(x-3),\\\begin{cases}x+2=0, x=-2\\x-2=0, x=2\\x-3=, x=3\end{cases}[/tex]
Thus, the three zeroes of this function are [tex]x=-2, x=2, x=3[/tex] and the graph must intersection the x-axis at these points. The y-intercept of any graph occurs when [tex]x=0[/tex]. Thus, the y-coordinate of the y-intercept is equal to [tex]y=0^3-3(0^2)-4(0)+12,\\y=12[/tex] and the y-intercept is (0, 12).
The graph that corresponds with this is graph A.
How many ounces are equivalent to 9 pounds?(1pound=16 ounces)
Answer: 144
Step-by-step explanation:
If 1 pound is 16 ounces then you have to do 9 X 16
9x16 = 144
Therefore the answer is 144 ounces
Hope this helped!
2(f-9)=-28 f=?
-3(2t+3)=-21 t=?
Answer:
1. f= 3/5
2. t= 3/5
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Answer:
Below in bold.
Step-by-step explanation:
2(f - 9) = -28
2f - 18 = -28
2f = -28 + 18
2f = -10
f = -5.
-3(2t + 3) = -21
2t + 3 = -21/-3
2t + 3 = 7
2t = 4
t = 2.
With the help of a diagram a boy starts at a and walks 3km east to b he then walk 4km north to c find the distance and bearing of c from a
Answer:
t=3
Step-by-step explanation:
sorry if its incorrect i got it right on edgy.
The sum of two numbers is 19 and there differnce is 5
Answer:
x = 12 , y = 7
Step-by-step explanation:
Let the numbers be x and y
Sum of the numbers, x + y = 19 -------- ( 1 )
Difference of the number , x - y = 5 -------- ( 2)
( 1 ) + ( 2 ) => 2x = 24
x = 12
Substitute : x in ( 2 ) => 12 - y = 5
=> 12 - 5 = y
=> 7 = y
Which ordered pair (x,y) satisfies the inequality?
In a certain region, about 11% of a city's population switches from phone service provider APP to phone service provider BPP each year, and about 5% of the populaton switches from BPP to APP each year. Show the system of linear equations that models this migration pattern to calculate the new amounts of the population with each service provider. In 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP. Find the predicted number of customers for each provider in 2022. Round to the nearest hundredth of a million when reporting the populations.
Answer:
The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]y(t) = y(0)r^t[/tex]
In which [tex]y(0)[/tex] is the initial value and r is the rate of change.
11% of a city's population switches from phone service provider APP to phone service provider BPP each year, and about 5% of the populaton switches from BPP to APP each year.
This means that each year, the BPP amount increases by 11 - 5 = 6%, and the APP decreases by 6%. So the equations are:
BPP:
[tex]B(t) = B(0)(1 + 0.06)^t[/tex]
[tex]B(t) = B(0)(1.06)^t[/tex]
APP:
[tex]A(t) = A(0)(1 - 0.06)^t[/tex]
[tex]A(t) = A(0)(0.94)^t[/tex]
In 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP.
This means that [tex]A(0) = 1.75, B(0) = 2.05[/tex]
Thus
[tex]B(t) = 2.05(1.06)^t[/tex]
[tex]A(t) = 1.75(0.94)^t[/tex]
Find the predicted number of customers for each provider in 2022.
2022 - 2018 = 4, so we have to find A(4) and B(4).
[tex]B(4) = 2.05(1.06)^4 = 2.59[/tex]
[tex]A(4) = 1.75(0.94)^4 = 1.37[/tex]
The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 3/8.
There are 72 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
27
Step-by-step explanation:
specific probability = number of specific possibilities divided by number of total possibilities.
the number of total possibilities is 72 (we can pull one out of 72).
the probability of pulling a red back is 3/8.
so, to find the actual number of specific possibilities (actual number of red balls in the overall sample size of 72) we need to bring this ratio of 3/8 to an expression of x/72.
what is the factor to turn 8 into 72 ? 9.
8×f = 72
f = 72/8 = 9
to keep the ratio unchanged in its dimension, we need to apply the same factor to 3 to get x.
3/8 × f/f = x/72
3/8 × 9/9 = x/72
3×9 / 72 = x/72
3×9 = x = 27
so, the probability ratio based on actual possibilities (number of balls available) is 27/72
=>
there are 27 red balls in the bag of total 72 balls.
Multiply (5xy-4)(5xy+4)
[tex]{25x {}^{2} y}^{2} - 16[/tex]
15 friends want to order pizza for dinner. If each friend can eat 1/3 of a pizza, how many pizzas should they order?
Answer:
5
Step-by-step explanation:
[tex]\frac{15}{3} =5\\3 friends=1 pizza\\15 friends=5 pizzas\\[/tex]
a trader borrowed 2500$ at a sumple interest at the end of 8 months he paid back $2500 find the rate
Answer:
8%
Step-by-step explanation:
Rate = 100×Interest ÷ Principal× Time
100× 2500/ 2500 × 8 = 800
800/100 = 8%
I hope this helps
Josh ate 7/8 pizza and Jerry ate 1/2 pizza. how much more did Josh eat then Jerry
Step-by-step explanation:
6/5 this is the answer hopes this help
Owen is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $4 for every hour he had his car in the lot. How much total money would Owen have to pay for parking if he left his car in the lot for 5 hours? How much would Owen have to pay if he left his car in the lot for t hours?
Cost for 5 hours:
Cost for t hours:
Answer:
Cost = 11 + 4*t
Step-by-step explanation:
Cost = 11 + 4*t
Part A
t = 5 hours.
Cost = 11 + 4*5
Cost = 11 + 20
Cost = 31
Part B
time = t hours.
Cost = 11 + 4*t
for 5h he would need to pay $20 ( +$11 ) $31
i dont know what T is so ya :/
Find the measure of ∠BAC. Create another angle with the same measure. Measure the new angle to verify that it has the same angle measure. Take a screenshot of your work, and paste it below.
Answer:
The position and orientation of the new angle may vary, but it should have the same angle measure as ∠BAC
.Step-by-step explanation:
The measure of the angle is determined and the image is attached with the answer.
What is an Angle ?An angle is formed by two rays having a common end point.
The angle BAC is of certain measure.
To determine the value of the angle another angle is drawn in following steps
1. Draw a straight line XY
2. With an compass draw an arc of any length on BAC and on the new straight line XY keeping tip of the compass on the end points A and X.
3. Measure the point at which the arc cuts the angle BAC from the point at which it intersects AC and with the same measure , keeping the point of the compass on the point where the arc intersected XY ,cut an arc on the arc.
4. The intersecting point Z of the arc is joint to X
5.The angle ZXY is measured , and this is the value of the angle BAC.
The image is attached with the answer.
To know more about Angle
https://brainly.com/question/7116550
#SPJ2
Paula, Adam, and Jessica are siblings. Adam is half the age of Paula, and Jessica is one quarter of Paula's age. In six years' time, Jessica will be 75% of Adam's age.
a How old is each sibling now?
b How old will each sibling be in six years' time?
c In how many years' time will Jessica be 75% of Paula's age?
Step-by-step explanation:
answer is in photo above
I need help please, i dont understand
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Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
__
The attached graph of the function confirms that the minimum is located at x=-1/2
_____
Additional comment
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
Find the height of this triangle.
Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
x^2 + 1 = 4
x^2 = 3
[tex]\sqrt{3}[/tex]
Can someone please help me ?
Answer:
5x+3y=6
Step-by-step explanation:
Use the slope intercept form then rearrange
Find an expression which represents the difference when (102 + 8) is subtracted from (-8x - 10) in simplest terms.
Answer:
18x + 18
Step-by-step explanation:
(10x + 8) – (-8x – 10)
(10x – (-8x)) + (8 – (-10))
(10x + 8x) + (8 + 10)
18x + 18
Can someone please help me?
Answer:
y=3^(x-2) + 1
Step-by-step explanation:
When dealing with graphs I always use a graphing calculator or Desmos to graph and double check my answers especially when doing translations!
A company needs to hire a new director of advertising. It has decided to try to hire person A or B, who are assistant advertising directors for its major competitor. To decide between A or B, the company finds that A is in charge of 2/3 of the total accounts while Peron B is in charge of only 1/3 of the accounts. Also, A’s campaigns have satisfactory results 3 out of 4 times, while B’s campaigns has satisfactory results only 2 out of 5 times. Suppose one of the competitors ad campaigns is selected randomly
a) Draw the tree diagram of the info above
b) Find the probability that A is in charge of the selected campaign and that is produces satisfactory results
c) Find the probability that the selected campaign is satisfactory
Answer:
b) 0.5
c) 0.633
Step-by-step explanation:
a) Please find the attached image - tree diagram
b) b) The probability that A is in charge of the selected campaign and that it produces satisfactory results = 2/3 * 3/4 = 1/2 = 0.5
c) P (selected campaign is satisfactory)
= P(A's campaign and satisfactory) + P(B's campaign and satisfactory)
= 2/3*3/4 + 1/3*2/5
= 0.6333
Find the slope of the line containing the given pair of points. If the slope is undefined, state so.
(-1,-7) and (-6,1)
Answer:
m = [tex]-\frac{8}{5}[/tex]
Step-by-step explanation:
m = slope
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{1--7}{-6--1}[/tex]
m = [tex]\frac{8}{-5}[/tex]
m = [tex]-\frac{8}{5}[/tex]
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 108 disks are summarized as follows: Shock Resistance Scratch Resistance High Low High 55 10 Low 13 30 Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities. P(A)=86/100P(B)=79/100P(A')=7/50P(A U B)=95/100P(A' U B)= ???
Answer:
i) 0.63
ii) 0.37
iii) 0.37
iv) 0.77
v) 0.51
Step-by-step explanation:
Total resistance value = 108
A = high shock resistance
B = high scratch resistance
when a disk is selected at random
i) P(A) = P ( high shock resistance )
= ( 55 + 13 ) / 108
= 68/108 = 17/27 = 0.63
ii) P( B ) = P ( high scratch resistance )
= ( 10 + 30 ) / 108
= 40 / 108 = 10/27 = 0.37
iii) P(A') = 1 - P(A)
= 1 - 17/27 = 10/27 = 0.37
iv) P( A U B ) = P(A) + P(B) - P( A n B )
= 0.63 + 0.37 - 0.233
= 0.766 ≈ 0.77
v) P( A' U B ) = P(A') + P(B) - P(A n B )
= 0.37 + 0.37 - 0.233
= 0.507 ≈ 0.51
step by step..............
Answer:
............Ans..............
Find the correct algebraic representation of the dilation shown below.
a- (1/2x,1/2y)
b-(2/7x,2/7y)
c-(7/2x,7/2y)
d-(7x,7y)
Given:
The diagram of triangle DEF and triangle D'E'F' on a coordinate plan.
To find:
The algebraic representation of the dilation.
Solution:
The vertices of triangle DEF are D(0,7), E(7,-7) and F(-7,-7).
The vertices of triangle D'E'F' are D'(0,2), E(2,-2) and F(-2,-2).
We know that, the dilation factor is:
[tex]k=\dfrac{x\text{ or }y\text{ coordinate of the dilated point}}{x\text{ or }y\text{ coordinate of the corresponding original point}}[/tex]
For point D' the y-coordinate is 7 and for point D the y-coordinate is 2. So,
[tex]k=\dfrac{2}{7}[/tex]
The rule of dilation is:
[tex](x,y)\to \left(kx,ky\right)[/tex]
[tex](x,y)\to \left(\dfrac{2}{7}x,\dfrac{2}{7}y\right)[/tex]
The algebraic representation of the dilation is [tex]\left(\dfrac{2}{7}x,\dfrac{2}{7}y\right)[/tex].
Therefore, the correct option is b.
You survey 300 students at the highschool. Of the 300 students, 103 of them said that pizza is their
favorite food. If 751 students attend the high school, about how many students would choose pizza as
their favorite food?
Answer:
258
Step-by-step explanation:
Is there a local minimum at x= -4?
9514 1404 393
Answer:
yes
Step-by-step explanation:
Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.
__
Similarly, the point (4, 16) is a local maximum.
