If x is his speed, and the speed limit is 65 mph, then the inequality \(x > 65\) represents him going over the speed limit.
The inequality \(x \le 65\) is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).
Unsure how to solve this
To determine the number of ways the car can be ordered with regard to these options, we can use the multiplication principle of counting. We will count the number of options for each feature and multiply them together.There are 7 colors, so there are 7 options for the first feature.
There are 2 options for air conditioning (with or without).
There are 2 options for a sunroof (with or without).
There are 2 options for automatic transmission (with or without).
There are 2 options for antilock brakes (with or without).Using the multiplication principle, we can multiply the number of options for each feature together to get the total number of ways the car can be ordered:7 x 2 x 2 x 2 x 2 = 112Therefore, the correct answer is 112.
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
For more questions related to upper boundary
https://brainly.com/question/28725724
#SPJ1
HELP FAST PLEASE WILL GIVE BRAINLYEST
Answer: p(x) = f(x+8)-6
Step-by-step explanation:
Answer: C f(x+8)-6
Step-by-step explanation:
You went left 8 or -8 in x direction, take opposite sign for x
also down 6 or -6 in y direction, take sign as is.
f(x+8)-6
Pls Help!
Given the polynomial function below, find F(3).
F(x) = 2x3 - 7x + 1
A. 34
B. -8
C. 26
D. -2
Answer:
34
Step-by-step explanation:
F(x) = 2x^3 - 7x + 1
Let x= 3
F(3) = 2* 3^3 - 7*3 + 1
= 2 * 27 -21+1
= 54 -21 + 1
= 34
Answer: 34
Step-by-step explanation:
7) -5x +6y = 16
3x - 7y = 4
A) (4, -2)
C) (-8,-4)
B) (4,2)
D) (2,-4)
expand and simplify.
(m–3)(m+2)
Answer:
m^2-m-6
Step-by-step explanation:
(m-3)(m+2)
m^2 +2m-3m-6
m^2-m-6
Answer:
m² - m - 6
Step-by-step explanation:
(m - 3)(m + 2)
each term in the second factor is multiplied by each term in the first factor, that is
m(m + 2) - 3(m + 2) ← distribute parenthesis
= m² + 2m - 3m - 6 ← collect like terms
= m² - m - 6
A carpenter needs to cut a small triangular pice of wood for part of a jewelry box. He knows the dimension shown and that 0=68°. What is the length of a to the nearest tenth of a centimeter?
Answer:
36.0 cm
Step-by-step explanation:
use cosine to find the value of a
cos(68) = a/96 Multiply both sides by 96
a = cos (68) * 96
a = 35.96
Round to nearest tenth: 36.0 cm
Answer:
36.0 cm
Hope this helped have an amazing day!
Given that f(x) = |x|, graph the function g(x) = -f(x + 4).
Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and also apply the given metamorphoses. The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.
First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4). Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4). Combining these metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can compass a many points and also draw the graph by connecting them.
Let's start with the original graph of f( x) = | x| and apply the metamorphoses
For f( x) x = -3,-2,-1, 0, 1, 2, 3
f( x) = 3, 2, 1, 0, 1, 2, 3 For
g( x) = - f( x 4) x = -7,-6,-5,-4,-3,-2,-1
g( x) = -3,-2,-1, 0,-1,-2,-3
conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.
For more questions on graph
https://brainly.com/question/28618196
#SPJ11
I need helping finding the convergence
Answer:
no te entiendo pero para charlar si
Which statement correctly compares the slopes of the two functions? OA Function fhas a slope of which makes it steeper than function g. O B. Function g has a slope of , which makes it steeper than function f. Function ghas a slope of 2, which makes it steeper than function f. O c. OD Function f has a slope of 3, which makes it steeper than function g
Answer:
B. Function g has slope 3 which makes it steeper
Step-by-step explanation:
Answer:
its B 100% but on plato its C
Step-by-step explanation:
Solve for x leave your answer in simplest radical form
Answer:
X=11 trust me on my mom
Which triangles are similar to △A, B, C? Triangle. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Triangle A B C. Side A C has a side length of eight. Side length A B has a side length of five. Side length B C has a side length of seven. Choose 1 answer: Choose 1 answer: (Choice A) Triangle D E F. Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ D, E, F . Side D E has a side length of ten. Side length E F has a side length of ten. Side length D F has a side length of ten. △ � Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ G, H, I only B Triangle G H I. Side G H has a side length of six. Side length H I has a side length of nine. Side length G I has a side length of ten. △ , I only (Choice C) Both (Choice D) Neither
its the geometry - Similarity : unit test / high school
The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.
If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.
In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.
Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.
Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.
To know more about triangle here.
brainly.com/question/8587906
#SPJ1
Complete Question:
Define triangle is △ABC similar to Similarity property and why?
Which triangle is △abc similar to and why? responses △abc is similar to △ghi by aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , , a a similarity postulate, ., △abc is similar to △jkl by aa similarity postulate. triangle a b c, is similar to , triangle j k l, by , , a a similarity postulate, , . △abc is similar to △def by aa similarity postulate. triangle a b c, is similar to , triangle d e f, by , , a a similarity postulate, , . △abc is not similar to any of the triangles given.
Suppose we have already saved $55 towards the cost of a new television set.
We plan to save $6 more each week for the next several weeks.
i) Write an equation for the total amount T we will have after w weeks from now.
ii) Find the total amount that would be saved after 8 weeks.
Step-by-step explanation:
T = 55 + 6w
after 8 week $103
A cash register contains $10 and $50 bills with a total of $1,080. If there are 28 bills then how much of each does the register contain
The cash register contains 8 $10 bill and 20 $50 bills.
Let's denote the number of $10 bills as 'x' and the number of $50 bills as 'y'.
According to the given information, we know that the total number of bills is 28. So we can write the equation:
x + y = 28 (Equation 1)
We also know that the total amount of money in the cash register is $1,080. The value of each $10 bill is $10, and the value of each $50 bill is $50. So we can write another equation based on the total value:
10x + 50y = 1080 (Equation 2)
Now we have a system of two equations (Equation 1 and Equation 2) that we can solve simultaneously to find the values of 'x' and 'y'.
Let's solve the system of equations:
Multiply Equation 1 by 10 to eliminate 'x':
10x + 10y = 280 (Equation 1 multiplied by 10)
Subtract Equation 1 multiplied by 10 from Equation 2:
(10x + 50y) - (10x + 10y) = 1080 - 28
40y = 800
Divide both sides by 40:
y = 20
Substitute the value of 'y' into Equation 1 to find 'x':
x + 20 = 28
x = 28 - 20
x = 8
For such more question on bill:
https://brainly.com/question/9132949
#SPJ8
I REALLY NEED HELP WITH THIS STATISTICAL QUESTION CAN SOMEONE PLEASE HELP ME
Answer:
ill help u if you answer my recent questing
Step-by-step explanation:
PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW
which form most quickly reveals the vertex?
And what is the vertex??
Answer: Choice C
Vertex = (5, -2)
===============================================
Explanation:
Vertex form is \(y = a(x-h)^2 + k\) where the vertex itself is located at (h,k)
As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.
In the case of choice C, we have \(y= \frac{1}{2}(x-5)^2 - 2\) which is the same as \(y = \frac{1}{2}(x-5)^2 + (-2)\) and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
Help me out here pleaseeeeeeeeeeeee
Answer:
5 1/4
Step-by-step explanation:
7 days = 1 week, so 3/4 x 7 = 5 1/4
Sketch and label a net of the right triangular prism. Each square on the grid represents
1 square centimeter. Calculate the surface area of the prism by using its net.
The total surface area of the prism is determined as 216 cm².
What is the surface area of the prism?The surface area of the prism is calculated by applying the following formula.
The area of the two triangular faces is calculated as follows;
Area of the two triangles = 2 (¹/₂ x base x height )
Area of the two triangles = 2 (¹/₂ x 6 cm x 4 cm )
Area of the two triangles = 24 cm²
The area of rectangular faces is calculated as follows;
A = ( 5 cm x 12 cm ) + (5 cm x 12 cm ) + ( 6 cm x 12 cm )
A = 192 cm²
The total surface area of the prism is calculated as follows;
Area = 24 cm² + 192 cm²
Area = 216 cm²
The sketch of the triangular prism is in the image attached.
Learn more about surface area of prism here: https://brainly.com/question/16421693
#SPJ1
what is 2x to the power of 2
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
2x^2 = (2 x 2) x (2 x 2)
= 4 x 4
= 16
I hope this helps you
Hello! I really need help with this question!!!
Answer:
Some rational numbers that you can use are numbers like 25 and 12.5
An irrational number that you can use is π = 3.14159265...
Step-by-step explanation:
Pls give me brainliest thx
If it's wrong then don't bother
2/3 es equivalente a 4/5?
we can conclude that 2/3 is not equal to 4/5.
To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.
To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.
For 2/3 and 4/5, we have:
2 * 5 = 10
3 * 4 = 12
Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.
for more questions on equivalent
https://brainly.com/question/2972832
#SPJ8
for ten students, a teacher records the following scores of two assessments, quiz 1 and test. quiz 1 (x) test (y) 15 20 12 15 10 12 14 18 10 10 8 13 6 12 15 10 16 18 13 15 mean 11.9 14.3 standard deviation 3.3 3.5 the correlation of quiz 1 and test is 0.568. given the information below, what is the slope and y-intercept for the least-squares line of the quiz 1 scores and test scores? answer choices are rounded to the hundredths place.
The slope and y-intercept for the least-squares line of quiz 1 scores and test scores are;
Slope = 0.6
y-intercept = 7.16
What is a leas-squares regression line?The least-squares regression line is a line that fits the data points on a graph by minimizing the vertical distance between the data points to the regression line.
The table of values are presented as follows;
\({}\) Quiz 1 (x) \({}\) Test (y)
\({}\) 15 \({}\) 20
\({}\) 12 \({}\) 15
\({}\) 10 \({}\) 12
\({}\) 14 \({}\) 18
\({}\) 10 \({}\) 10
\({}\) 8 \({}\) 13
\({}\) 6 \({}\) 12
\({}\) 15 \({}\) 10
\({}\) 16 \({}\) 18
\({}\) 13 \({}\) 15
Mean 11.9 \({}\) 14.3
Standard Deviation 3.3 \({}\) 3.5
The formula for the slope, b, of the least-squares line is presented as follows;
\(\displaystyle b=\frac{\sum \left(x_i-\bar{x}\right)\times \left(y_i-\bar {y}\right)}{\sum \left(x_i-\bar{x}\right)^2}\)
The values of the terms of the equations obtained by using the spreadsheet application MS Excel are;
\(\displaystyle {\sum \left(x_i-\bar{x}\right)\times \left(y_i-\bar {y}\right)}\) = 59.3
\(\displaystyle {\sum \left(x_i-\bar{x}\right)^2\) = 98.9
Therefore;
\(\displaystyle b=\frac{59.3}{98.9} \approx 0.6\)
Slope, b ≈ 0.6The formula for the y-intercept is; c = \(\bar y-b\cdot \bar x\)
Therefore;
c ≈ 14.3 - 0.6 × 11.9 = 7.16
The y-intercept = 7.16Question options;
The possible question options obtained from a similar online are;
Slope = 0.54
y-intercept = 1.22
Slope = 0.6
y-intercept = 7.16
Slope = 0.54
y-intercept = 1.71
Slope = 0.6
y-intercept = 1.22
Learn more about the least-squares regression line here:
https://brainly.com/question/14152034
#SPJ1
what are the 30 variables i need to put in the spss stats data editor to get this output? and pls just the 30 variables to get the same output.
One-Sample t-test: Data set: A real dataset from Kaggle on the heights of students in a university. The research question is whether the average height of students in the university is significantly different from 170 cm. The hypothetical study includes a random sample of 30 students from the university, and their heights are measured in cm.
Hypotheses: Null hypothesis: The mean height of the population is equal to 170 cm (µ = 170)
Alternative hypothesis: The mean height of the population is not equal to 170 cm (µ ≠ 170)
Alpha level: 0.05
SPSS Output:
N Mean Std. Deviation Std. Error Mean
30 172.2 6.43 1.18
One-Sample Test Test Value = 170 95% Confidence Interval of the Difference t df Sig. (2-tailed) Mean Difference Lower Upper
2.10 29 0.046 2.20 0.09 4.31
The output includes the sample size (N), mean, standard deviation, and standard error mean for the height variable. It also shows the results of the one-sample t-test, including the test value, t-value, degrees of freedom (df), p-value (Sig.), and the mean difference with its 95% confidence interval (Lower and Upper).
Since the p-value is less than the alpha level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that the average height of students in the university is significantly different from 170 cm.
Step-by-step explanation:
To get the same output in SPSS, you would need to input the following 30 variables in the data editor:
ID
Height1
Height2
Height3
Height4
Height5
Height6
Height7
Height8
Height9
Height10
Height11
Height12
Height13
Height14
Height15
Height16
Height17
Height18
Height19
Height20
Height21
Height22
Height23
Height24
Height25
Height26
Height27
Height28
Height29
In this case, "ID" represents the identification number of each student, and "Height1" to "Height29" represent the height of each student in the sample.
To perform the one-sample t-test and obtain the output, follow these steps in SPSS:
Go to "Analyze" > "Compare Means" > "One-Sample T Test"
Select the variable "Height1" to "Height29" and move them to the "Test Variable(s)" box
Enter "170" in the "Test Value" box
Click "OK"
The output should then appear in the "Output Viewer" window.
4d + 3 - d + c
NOT MULTIPLE CHOICE!
Answer:
c+3d+3
Step-by-step explanation:
\( \rm \int_{0}^{ \pi } \cos( \cot(x) - \tan(x)) \: dx \\ \)
Replace x with π/2 - x to get the equivalent integral
\(\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx\)
but the integrand is even, so this is really just
\(\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx\)
Substitute x = 1/2 arccot(u/2), which transforms the integral to
\(\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du\)
There are lots of ways to compute this. What I did was to consider the complex contour integral
\(\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz\)
where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be
\(\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}\)
which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit
\(\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}\)
and it follows that
\(\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}\)
Cadence baked 45 cupcakes on Tuesday.This was 3 more than twice the number of cupcakes she baked on Monday. How many cupcakes did Cadence bake on Monday
It should be noted that the number of cupcakes that Cadence bake on Monday is 21 cupcakes.
How to calculate the number of cupcakes?It should be noted that Cadence baked 45 cupcakes on Tuesday and this was 3 more than twice the number of cupcakes she baked on Monday
2Let the number of cakes on Monday = x
Therefore, the expression will be:
(2 × x) + 3 = 45
2x + 3 = 45
Collect like terms
2x = 45 - 3.
2x = 42
Divide
x = 42 / 2
x = 21
Therefore, it should be noted that the number of cupcakes that Cadence bake on Monday is 21 cupcakes.
Learn more about expressions on:
brainly.com/question/25968875
#SPJ1
pless i really need help
Perimeter of the parallelogram = 210 in.
Area of parallelogram = 2,484 in.²
What are the Perimeter and Area of a Parallelogram?Perimeter of parallelogram = 2(a + b), where a and b are its sides.
Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.
Given:
a = 51 in.
b = 54 in.
h = 46 in.
Perimeter of the parallelogram = 2(54 + 51) = 210 in.
Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²
Learn more about parallelogram on:
https://brainly.com/question/3050890
#SPJ1
Ms. Jones washed
2
7
of her laundry. Her son washed
1
3
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?