Can someone Help me please
Answer:
x<3
Step-by-step explanation:
The circle is open and the arrow is going left so its going to be less then. The circle is on 3 so the answer is c. x<3.
Analyze the diagram below and complete the instructions that follow.
A. 3/22
B. 3/7
C. 8/15
D.8/11
1. This question refers to conditional probability and is asking us to find the probability of Q occurring, given that R occurs. What this means is that we must divide the probability of Q and R occurring by the probability of R occurring (this is because we have the condition that R occurs). This may be written as such:
Pr(Q|R) = Pr(Q ∩ R) / Pr(R)
2. Now, the first step is to find Pr(Q ∩ R). This is given by the value in the centre of the Venn Diagram (ie. in the cross-over between the two circles) divided by the total of all the values:
Pr(Q ∩ R) = 3/(8 + 3 + 4 + 22)
= 3/37
3. The next step is to find Pr(R). This is given by the value in the circle denoted R (including the cross-over with Q) divided by the total of all the values.
Pr(R) = (4 + 3)/(8 + 3 + 4 + 22)
= 7/37
4. Thus, we can now subtitute the probabilities we defined in 2. and 3. into the formula for conditional probability we defined in 1.:
Pr(Q|R) = (3/37) / (7/37)
= 3/7
Thus, the answer is B.
Note that technically there is no need to write out the full probabilities before coming to this answer. The same exact answer could be found by using Pr(Q ∩ R) = 3 and Pr(R) = 7. This works because they are part of the same universal set - in other words, since the total of all the values in the Venn Diagram remains constant, the denominators of the two probabilities would be the same (given that no cancelling is done) and these denominators would be cancelled out when dividing Pr(Q ∩ R) by Pr(R). This can be particularly useful for a multiple choice question such as this one.
Determine the domain of the function.
f(x)= sqrt of 7+x
Answer:
Df=[-7,∞)
Step-by-step explanation:
Answer:
x∈R {x ≥ -7}
Step-by-step explanation:
The domain of the function can only include real numbers. This means whatever happens under the square root sign (i.e. the radicand) cannot be less than 0 (since you can't take the square root of a negative number).
To find the domain, set the radicand ≥ 0:
7 + x ≥ 0
x ≥ -7
An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table.
Which statement about the two-way frequency table is true?
A.
The survey represents quantitative data.
B.
There is a greater percentage of Internet customers who are not satisfied than cable television customers who are not
satisfied.
C.
About half of the customers surveyed are cable-television customers.
D.
About one-fourth of the cable-television customers are not satisfied.
Answer:
D) About one-fourth of the cable-television customers are not satisfied.
Step-by-step explanation:
First you find out how many cable-television customers are not satisfied, which is 285. The you find out the total number of cable-television users in the sample, which is 1,109. Then you divide the number of unsatisfied by the total, 285/1109, to get .2569 or 25%
Answer:D) About one-fourth of the cable-television customers are not satisfied.
Step-by-step explanation:
What’s 18/100 in simplest form
Answer:
9/50
Step-by-step explanation:
18/100
Divide the top and bottom by 2
9/50
This is in simplest form
Write the expression in complete factored form.
x(y-2) + 5(y-2) =
Answer:
(y-2) (x+5)
Step-by-step explanation:
x(y-2) + 5(y-2) =
We can factor out the expression (y-2), leaving us with x+5
(y-2) (x+5)
Answer: (x+5)(y-2)
Because the x and the 5 are being multiplied by the same factor you can change it to make the answer (x+5)(y-2)
The graph below corresponds to the equation y=x2+bx+c, what are the values of b and c?
Answer:
C) B= -1 C= -2
Step-by-step explanation:
what are the solutions to the equation x - (7/x) = 6
Answer: c. x=-1 and x=7
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the value of x:
2 + x = 8
Factor the expression below.
x2 - 18x+81
O A. (x - 3)(x - 27)
O B. (x+9)(x+9)
O C. (x+3)(x+ 27)
O D. (x - 9)(x-9)
You must remember that a polynomial is written like so...
ax^2 + bx + c
In this case...
a = 1
b = -18
c = 81
To factor you must find two numbers who both add up to b (-18) AND multiply to c (81)
-9 + -9 = -18
-9 * -9 = 81
so...
D. (x - 9)(x - 9)
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:B (x+9)(x+9)
Step-by-step explanation: just did it and (x-9)(x-9) is the WRONg answer. the correct answer is B (x+9)(x+9)
Larry wants to buy some carpeting for his living room. the length of the room is 4 times the width and the total area of the room is 16 square meters. What is the length of the living room
Answer:
I would say the length is 8 and the width is 2
Step-by-step explanation:
Note that : ( Length = L , Width = W , Area = A)
A = L x W - the area is 16 as given in the question, therefore:
16 = L x W <- this is your 1st equation
L = 4W - Length is 4 times the width, this is your second equation
Take your second equation and substitute it into the first one:
16 = 4W x W -> simplify this:
16 = 4W^2
Divide both sides of the equation by 4 to isolate the W^2
16 ÷ 4 = (4w^2) ÷ 4 -> this will equal to:
4 = w^2
Now you want to get rid of '^2', you want to isolate w. To do this you need to find the square root of both sides of the equation
√ 4 = √ w^2 -> this will equal to:
2 = w
Now that you have the value of w just sub it into the first equation
16 = L x W
16 = L x 2
16 ÷ 2 = L
8 = L
therefore the length is 8 and the width is 2
Which outcome is represented by X?
rolling a two and the coin landing on tails
rolling a three and the coin landing on tails
rolling a two and the coin landing on heads
rolling a three and the coin landing on heads
Answer:
A. rolling a two and landing on tails
Factor 15x^3 - 5x^2 +6x-2 by grouping. what is the resulting expression
Answer:
(3x - 1)(5x^2 + 2)
Step-by-step explanation:
15x^3 - 5x^2 (the first two terms) have the common factor 5x^2, so that
15x^3 - 5x^2 = (5x^2)(3x - 1).
Likewise, 6x - 2 = 2(3x - 1).
Thus, 15x^3 - 5x^2 +6x-2 can be written as (3x - 1)(5x^2 + 2)
Samuel consumed 2129 calories of food on Monday, 2348 calories on Tuesday, and 1863
calories on Wednesday. In order for Samuel's average calorie intake to equal a daily
average of 2200 calories, how many calories of food must he consume on Thursday?
Answer: 2460 calories
Step-by-step explanation:
2129 + 2348 + 1863 = 6340
2200 x 4 = 8800
8800 - 6340 = 2460
Final answer:
Samuel must consume 2460 calories on Thursday to achieve his target average daily calorie intake of 2200 over the four days.
Explanation:
To find out how many calories Samuel must consume on Thursday to have an average daily intake of 2200 calories, we first calculate the total number of calories he should have consumed over four days. This is done by multiplying the desired daily average (2200 calories) by the number of days (4), which equals 8800 calories.
Next, we add the calories Samuel consumed from Monday to Wednesday, which amounts to 2129 (Monday) + 2348 (Tuesday) + 1863 (Wednesday) = 6340 calories.
To find the calories for Thursday, we subtract the total consumed so far (6340 calories) from the desired four-day total (8800 calories). This gives us 8800 - 6340 = 2460 calories.
Therefore, Samuel must consume 2460 calories on Thursday to achieve an average of 2200 calories per day over the four days.
4⁄15 of the 315 members of a book club are male. How many female members are there in the club?
Length of shawdow of building 32m. The distance from the top to the tip of the shadow is 38m . find the height of the building
Answer:
20.49 feet to the nearest hundredth.
Step-by-step explanation:
Using the Pythagoras Theorem:
38^2 = h^2 + 32^2
h^2 = 38^2 - 32^2
h^2 = 420
h = √420
h = 20.494 m.
Your question asks to find the height of the building.
Answer: 20.49 metersTo find the answer to your question, we would need to use the Pythagorean theorem.
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
What we would do is plug in the numbers that we already know into the equation, and then we simply solve.
We would plug 32 to a and plug 38 into c
Your equation should look like this:
[tex]32^2+b^2=38^2[/tex]
Now, we solve:
[tex]32^2+b^2=38^2\\\\1024+b^2=38^2\\\\1024+b^2=1444\\\\b^2=420\\\\\sqrt{b} =\sqrt{420} \\\\b=20.493[/tex]
We would jkust round to the nearest hundredths place, therefore giving you the answer of 20.49.
This means that the height of the building would be 20.49 meters
20.49 meters would be your FINAL answer.
I hope this helps!Best regards, MasterInvestorSimplify -4 + (-3) + 6.
Answer:
-1
Step-by-step explanation:
-4 + -3 = -7
-7 + 6 = -1
-7 + 6 = -1 because when you are adding a positive and negative number you subtract and then add the sign of the bigger number.
what is the value of x, given that the two prisms are similar?
Answer:
The correct answer option is D. 60.
Step-by-step explanation:
We are given the diagram of two prisms with known side lengths other than x. Given that these prisms are similar, we are to find the value of x.
Considering the similarity of these prisms, we will use the ratio method to find x.
[tex] \frac { 3 } { 2 0 } = \frac { 9 } { x } [/tex]
[tex] x = \frac { 6 \times 2 0 } { 3 } [/tex]
x = 60
Answer: OPTION D
Step-by-step explanation:
Given the similar prisms shown in the image, the first step is to set up the following proportion, where "x" is the missing lenght:
[tex]\frac{9}{3}=\frac{x}{20}[/tex]
And finally you need to solve for the lenght "x" to find its value.
To solve for "x" you can multiply both sides of the equation by 20.
Then, the result is:
[tex](20)(\frac{9}{3})=(\frac{x}{20})(20)\\\\\frac{9*20}{3}=x\\\\\frac{180}{3}=x\\\\x=60[/tex]
What is the slop of the line containing the points (4,-10 2/3), (-3,1)
let's firstly convert the mixed fraction to improper fraction.
[tex]\bf \stackrel{mixed}{10\frac{2}{3}}\implies \cfrac{10\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{32}{3}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-\frac{32}{3}})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-\left( -\frac{32}{3} \right)}{-3-4}\implies \cfrac{1+\frac{32}{3}}{-7}\implies \cfrac{\frac{3+32}{3}}{-7}[/tex]
[tex]\bf \cfrac{~~\frac{35}{3}~~}{\frac{-7}{1}} \implies \cfrac{\stackrel{5}{~~\begin{matrix} 35 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}~~}{3}\cdot \cfrac{1}{~~\begin{matrix} -7 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{5}{3}[/tex]
arrange the expressions in ascending order of their values when x=-2
1-x^2over1-2x
x2-1over1-2x
2x^2+xover2
3x^2+1over2(x-1)
Answer:
The expressions in ascending order would be:
[tex]\frac{3x^2+1}{2(x-1)} < \frac{x^2-1}{1-2x} < \frac{x^2}{1-2x} < \frac{2x^2+x}{2}[/tex]
At x = -2
Explanation:
First, we will evaluate the given expressions at x = -2
1- The first expression:
[tex]\frac{x^2}{1-2x}=\frac{(-2)^2}{1-2(-2)}=\frac{4}{5}[/tex]
2- The second expression:
[tex]\frac{x^2-1}{1-2x}=\frac{(-2)^2-1}{1-2(-2)}=\frac{3}{5}[/tex]
3- The third expression:
[tex]\frac{2x^2+x}{2}=\frac{2(-2)^2+(-2)}{2}=3[/tex]
4- The fourth expression:
[tex]\frac{3x^2+1}{2(x-1)}=\frac{3(-2)^2+1}{2(-2-1)}=-\frac{13}{6}[/tex]
Then, we will arrange the values in an ascending order:
[tex]-\frac{13}{6} < \frac{3}{5} < \frac{4}{5} < 3[/tex]
Finally, we arrange the expressions based on the value arrangement:
[tex]\frac{3x^2+1}{2(x-1)} < \frac{x^2-1}{1-2x} < \frac{x^2}{1-2x} < \frac{2x^2+x}{2}[/tex]
Hope this helps :)
this sign tells drivers there is a steep hill ahead. write the number of sides and the number of angles in the shape of this sign
The yellow diamond-shaped traffic sign in the image has 4 sides and 4 angles. It’s a common warning sign used worldwide to alert drivers of a steep downhill grade ahead. The downward-pointing chevron symbol within the diamond further emphasizes the descending slope.
Here’s a quick breakdown of its geometrical features:
Shape: Diamond (also known as a rhombus)
Sides: 4, all of equal length
Angles: 4, with two acute angles (less than 90°) and two obtuse angles (more than 90°)
Properties: Opposite sides are parallel, diagonals bisect each other at right angles.
The diamond shape in traffic signs often conveys caution or warning, especially when paired with specific symbols like the downward chevron.
Evaluate 12 X (1.4+8.59) writing your answer in its simplest form.
Step-by-step explanation:
1.4+8.59= 9.99
12 X 9.99 = 119.88
How do you do this problem
A circle has an arc whose measure is 80° and whose length is 88π, What is the diameter of the circle?
Answer:396
Step-by-step explanation:Arc length = radius * angle in radians
you know radius = Diameter/2 = D/2
80 deg = (80pi/180) rad
then,
88 pi = (D/2) * (80 pi /180)
sloving for D
D = 396
The diameter of the circle which measures is 80° and length arc is 88π is 396
Length of arc formula
length of arc = ∅ / 360 × 2πr
where
r = radius
∅ = centre angle = 80°
length of arc = 80 / 360 ×2πr
length of arc = 88π
Therefore,
88π = 16 / 36 πr
cross multiply
88π × 36 = 16πr
3168π = 16πr
divide both sides by 16π
198 = r
Recall
diameter = 2(radius)
Therefore,
diameter of the circle = 2 × 198
diameter of the circle = 396
learn more on length of arc here: https://brainly.com/question/15373642
What is the slope of the line passing through the points (1,57) and (2,27)?
Answer:
-30.
Step-by-step explanation:
Slope = rise / run
= (57-27) / (1 - 2)
= -30.
The slope of the line passing through points (1,57) and (2,27) is; 30.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
It can be calculated as;
Slope = rise/run
Given that the line passes through points (1,57) and (2,27), we need to find the slope of the line.
Slope = rise/run
Slope = (57-27) / (1 - 2)
Slope = -30.
Therefore, the slope of the line passing through points (1,57) and (2,27) is; 30.
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
Find the area of rectangle ABCD with vertices A(-4, 0), B(2, 2), C(3, -1), and D(-3, -3)
Answer:
18 square units.
Step-by-step explanation:
graph the square or find the difference then multiply the base by the hight.
Lucinda wants to make $6.00 on every arrangement of flowers she sells. If it costs her $10.00 to prepare an
arrangement, by what percentage will she mark up the price?
a.60%
b.70%
c.59%
d.167%
Answer:60%
Step-by-step explanation:
Final answer:
Lucinda will mark up the price of her flower arrangements by 60% to make a $6.00 profit on each one, which costs her $10.00 to prepare. The correct answer is option a.
Explanation:
Lucinda wishes to make a profit of $6.00 on each flower arrangement she sells, on top of the $10.00 it costs her to prepare one. To calculate the percentage markup, we use the formula: Markup Percentage = (Profit / Cost) × 100%. In Lucinda's case, the profit is $6.00 and the cost is $10.00.
So, the calculation will look like this:
Markup Percentage = ($6.00 / $10.00) × 100% = 0.6 × 100% = 60%.
Therefore, Lucinda will mark up the price by 60% to achieve her desired profit. The correct answer to the question is option a.
What is the mode for the set of values?
307 309 323 304 390 398
@ 316
6 339
© 345
(d) no
mode
Answer:
D no mode
Step-by-step explanation:
You need to have a number seen at least twice to have a mode.
Answer:
There is no mode
Step-by-step explanation:
Mode is when numbers are repeated, and there are no numbers repeated
A line passes through the given points. Write an equation for the line in
point-slope form. Then rewrite the equation in slope-intercept form.
(4, -2), (9, -8)
4-9=5
-2--8=6
y=mx+b
slope/mx=6/1
base/y intercept=5
Answer: The equation for the line in point-slope form :[tex] (y+2)=\dfrac{-6}{5}(x-4)[/tex]
The equation in slope-intercept form : [tex]y=\dfrac{-6}{5}x+\dfrac{14}{5}[/tex]
Step-by-step explanation:
The equation of a line in point slope form passing through points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Now, the point slope form passing through points (4, -2) and (9, -8) is given by :-
[tex](y-(-2))=\dfrac{-8-(-2)}{9-4}(x-4)\\\\\Rightarrow (y+2)=\dfrac{-6}{5}(x-4)[/tex]
The equation for the line in point-slope form :[tex] (y+2)=\dfrac{-6}{5}(x-4)[/tex]
Further if we simplify the equation , we get
[tex] y+2=\dfrac{-6}{5}x+\dfrac{24}{5}\\\\\Rightarrow\ y=\dfrac{-6}{5}x+\dfrac{24}{5}-2\\\\\Rightarrow\ y=\dfrac{-6}{5}x+\dfrac{14}{5}[/tex]
The equation in slope-intercept form : [tex]y=\dfrac{-6}{5}x+\dfrac{14}{5}[/tex]
Solve 2x - 8 < 7.
{x | x < 1/2}
{x | x > 1/2}
{x | x < 15/2}
{x | x > 15/2}
The solution to the inequality is [tex]\( \{ x \,|\, x < \frac{15}{2} \} \),[/tex] indicating all real numbers less than [tex]\( \frac{15}{2} \).[/tex]
To solve the inequality [tex]\(2x - 8 < 7\)[/tex], we'll isolate x by adding 8 to both sides and then dividing both sides by 2.
Here's the step-by-step calculation:
Starting inequality:
[tex]\[ 2x - 8 < 7 \][/tex]
Add 8 to both sides:
[tex]\[ 2x - 8 + 8 < 7 + 8 \][/tex]
[tex]\[ 2x < 15 \][/tex]
Divide both sides by 2:
[tex]\[ \frac{2x}{2} < \frac{15}{2} \][/tex]
[tex]\[ x < \frac{15}{2} \][/tex]
So, the solution to the inequality is [tex]\(x < \frac{15}{2}\).[/tex]
Now, let's express the solution set in set-builder notation. The solution set for x consists of all real numbers less than [tex]\( \frac{15}{2} \)[/tex]. This can be written as:
[tex]\[ \{ x \,|\, x < \frac{15}{2} \} \][/tex]
So, the correct option is:
[tex]\[ \boxed{\{ x \,|\, x < \frac{15}{2} \}} \][/tex]