Answer:
below
Step-by-step explanation:
(8! - 7!)
= 35280
that is the procedure above
- Mona Allen wants to buy a bed that costs $695. The city sales tax rate is 7%. In a nearby city the sales tax rate is 4%. How much less would the bed cost if Mona bought it in the nearby city?
Answer:
$20.85 less.
Step-by-step explanation:
City sales:
7% tax = 48.65
total bed cost = $743.65
Nearby City:
4% tax = 27.8
total bed cost = $722.8
city sale - nearby city
743.65 - 722.8
=20.85
The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 receiving-sets at random and inspects them thoroughly. Assuming that 5 of the 50 receiving-sets in the current lot are defective, find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
Answer:
0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
Step-by-step explanation:
Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Lots of 50 means that [tex]N = 50[/tex]
5 are defective, which means that [tex]k = 5[/tex]
4 are selected, which means that [tex]n = 4[/tex]
Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430[/tex]
0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.
Which phrase best describes f(x), graphed on the coordinate plane below?
A.f(x) is an odd function.
B. f(x) is an even function.
C. f(x) is both odd and even.
D. f(x) is neither odd nor even.
Answer:
D
Step-by-step explanation:
What is the equation of the line that passes through the given point and is perpendicular to the given line?
Point: (1,1)
Line: y=1/5x+4/5
Step-by-step explanation:
Hey there!
The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}
Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)
Comparing equation (ii) with y= mx+c, we get;
Slope (m2) = 1/5.
Now, As per the condition of perpendicular lines,
m1*m2 = -1
or, m1 * 1/2 = -1
or, m1= -2
Therefore, m1 = -2.
Keeping the value of m1 in equation (i) we get;
y-1 = -2(x-1)
y-1 = -2x+1
or, y+2x-2= 0
Therefore, the required equation is 2x+y-2= 0.
Hope it helps!
In a given triangle, side "a" is 7 inches long and side "b" is 24 inches long. The length of side "c" is
Answer:
25
Step-by-step explanation:
the formula for the hypotenuse of a triangle is
a^2+b^2=c^2
plug in what we know
7^2+24^2=c^2
49+576=c^2
625=c^2
c=25
hope this helps
Product of [x y] [1 2] is
Answer:
12xy
Step-by-step explanation:
Product of [x y] [1 2] is
(xy)×(12)=12xy
G varies inversely with the square
of H. When H is 4, G is 0.25.
Find the value of G when H is 0.3.
Answer:;4.4
Step-by-step explanation: Since it varies inversely we know G times H squared is equal to some constant, k. So we have G*H*H=k. We are told that when H=4, G=.25. Plugging this in, we have .25*4*4=k. This simplifies to 4=k. Our new equation is G*H*H=4. Now, we want to solve for G when H=.3. We plug it in. G*.3*.3=4 => G*.09=4. G=4/.09. This means G is approximately 44.4.
Answer:
G = 44.44
Step-by-step explanation:
Given the mathematical expression and data;
[tex] G = \frac {1}{H^{2}} [/tex]
H = 4 and G = 0.25
First of all, we would determine the constant of proportionality, k.
[tex] G = \frac {k}{H^{2}} [/tex]
Making k the subject of formula, we have;
k = GH²
Substituting the values, we have;
k = 0.25 * 4²
k = 0.25 * 16
k = 4
Next, we find the value of G when H = 0.3;
[tex] G = \frac {k}{H^{2}} [/tex]
[tex] G = \frac {4}{0.3^{2}} [/tex]
[tex] G = \frac {4}{0.09} [/tex]
G = 44.44
Which point is the vertex for the graph of y= |x| + 2?
A. (0,0)
B. (0,1)
C. (0,-2)
D. (0,2)
E. (2,0)
The correct answer is vertex of the graph D. (0, 2).
To find the vertex of the graph of the function y = |x| + 2, we need to determine the point where the function reaches its minimum or maximum value.The graph of y = |x| is a V-shaped graph with the vertex at the origin (0, 0). When we add 2 to this function, the graph is shifted upward by 2 units.So, the vertex of the graph of y = |x| + 2 is at (0, 2).
Therefore, the correct answer is D. (0, 2).The function y = |x| + 2 represents a V-shaped graph, and the vertex of this graph occurs at the origin (0, 0). By adding 2 to the function, the graph is shifted upward by 2 units. Therefore, the vertex of the modified function y = |x| + 2 is found by shifting the original vertex (0, 0) vertically by 2 units. This means the new vertex is located at (0, 2). This point represents the minimum value of the function, as it is the lowest point on the graph.
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Will choose brainliest! How would you do this problem?
Answer:
[tex]c=8[/tex]
Step-by-step explanation:
When we plug in the solution [tex](x+2)[/tex], we will substitute [tex]x=-2[/tex], as [tex]-2+2=0[/tex].
To be divisible, a remainder of zero must be yielded.
Let's substitute [tex]x=-2[/tex] to see what we need to make [tex]c[/tex]:
[tex]p(-2)=4\cdot(-2)^3+c\cdot (-2)^2+(-2)+2,\\p(-2)=-32+4c[/tex]
Remember that we want a remainder of zero:
[tex]-32+4c=0,\\4c=32,\\c=\boxed{8}[/tex]
Graph the slope Y=1/7x+1
The 1 in y = 1/7x+1, is the y-intercept. Its coordinates are (0,1). 1/7 means you are going up 1 and to the right 7, since it's positive.
On a graph, it looks like the graph above.
Find the length of x, round too the nearest tenth
Answer:
Step-by-step explanation:
take 66 degree as reference angle
using sin rule
sin 66=opposite/hypotenuse
0.91=x/16
0.91*16=x
14.56=x
14.6=x (after converting it to nearst tenth)
What is the probability of choosing 2 red marbles and one black marble from a bag containing 7 black marbles, 8 red marbles & 10 blue marbles
Answer:
The probability would be 3/25
Simplify the expression. 1−(sec2x−tan2x)
Answer: 1
−
1
(
s
e
c
2
−
1
t
a
n
2
)
Step-by-step explanation:
Pls help, will mark brainliest!
Answer:
x=45
Step-by-step explanation:
this should be right
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
12
16
Answer here
Pythagorean theorem. A^2+B^2=C^2.
So 12^2+16^2=c^2
144+256=c^2
400=c^2
square root of 400=c
So C=20
Hit the heart if it was helpful :D
Step-by-step explanation:
Write what you know
Pythagorean theorum
a^2 + b^2 = c^2
rearrange and solve for c
sqrt(a^2 + b^2) = c
plug and chug
What is the probability of flipping a coin 8 times and getting heads 2 times? Round your answer to the nearest tenth of a percent. O A. 27.3% O B. 10.9% O C. 21.9% O D. 3.1% SUBMIT
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
Answer: 10.9
Step-by-step explanation
Find the slope of the line passing through the points (3,16) (8,18)
A) 2/5
B)-5/2
C)5/2
D)-2/5
Answer:
2/5
Step-by-step explanation:
Slope of line is also called the gradient of line.
The formula of gradient of a straight line is always (y1-y2)/(x1-x2)
Marco made 2 errors in solving the following inequality. Identify the mistakes and correctly solve.
-18 - 4y > 20
-4y > 2
y > -1/2
Answer:
Step-by-step explanation:
When moving -18 to the other side, he didn’t do 20 + 18. (Mistake 1)
When dividing 2/-4 he didn’t flip the inequality from > to <. (Mistake 2)
Correct:
[tex]-18-4y<20\\-4y<38\\y > -9.5 (or -4\frac{1}{2}[/tex]
In ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°. Find the area of ΔNOP, to the nearest square inch.
Answer:
552
Step-by-step explanation:
Area of a Triangle→S.A.S.
Area=1/2 ab sin C
area = 1/2 (64)(83) sin 168
area=552.213=552
If ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.Then area of ΔNOP is 552 square inch.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
ΔNOP, o = 64 inches, p = 83 inches and ∠N=168°.
The length of two sides and an angle is given.
So we can use SAS postulate
The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
Area of a Triangle
Area=1/2 absin C
area = 1/2 (64)(83) sin 168
area =2656 sin 168
area=552.213=552
Hence area of ΔNOP, to the nearest square inch is 552 square inch
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PLEASEEEE HELPPP IM BEING TIMEDDD WILL GIVE BRAINLIEST AND POINTS
Choose the polynomial written in standard form.
xy2 + 4x4y + 10x2
x4y2 + 4x3y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x
Answer:
Can you please organize them so that the exponents are marked as x^2?
Step-by-step explanation:
To me, none of this is in standard form because the numbers are before the variables.
What is the percent change from 40 to 55? Show calculations and final answer. Round to the nearest percent.
Answer:
73%
Step-by-step explanation:
40/55 x 100
= 72.72727273
Rounded = 73%
Hope this helps!
Lisa rectangular living room is 20 feet wide if the length is 6 feet less than twice the width what is the area of a living room
Answer:
Step-by-step explanation:
20 * ((2*20)-6)
20*34
680
2 apples plus 2 apples
Answer:
4 apples
Step-by-step explanation:
2 + 2 = 4
Hope this helps!
Good Luck!
:)
If you can, please mark me bralinest
2 + 2 = 4
Answer = 4 apples
hope this helped :)
Determine whether the given description corresponds to an observational study or an experiment.
A quality control specialist compares the output from a machine with a new lubricant to the output of machines with the old lubricant.
Answer:Good luck hopefully somebody answer your question
Step-by-step explanation:
Wat is the slope of the line that passes through the points 3,1) and (-2,5)
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m=\boxed{-\frac{4}{5}}[/tex]
»»————- ★ ————-««
Here’s why:
We can use the slope formula to find the slope of the two points given.⸻⸻⸻⸻
[tex]\boxed{\text{Recall that the slope formula is:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1), (x_2,y_2)-\text{Points}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{5-1}{-2-3} \\\\\rightarrow m=\frac{4}{-5}\\\\\rightarrow \boxed{m= -\frac{4}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
For the given corporate bond, whose annual simple interest rate is provided, find the
semiannual simple interest payment and the total interest earned over the life of the bond. As soon 365 days in a year.
$5200 company A, 30 year bond, 6.273%
Answer:
reagain and none that I know about the other day and none that I know that you are
Solve the equation 18 = 3 + 5x for x.
OA) 1
OB) 2
O C) 3
OD 4
Step-by-step explanation:
18 = 3 + 5x
15=5x
x=15/5
x=3
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C) \:x\:=\:3}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]18 = 3 + 5x[/tex]
➺[tex] \: 5x = 18 - 3[/tex]
➺[tex] \: 5x = 15[/tex]
➺[tex] \: x = \frac{15}{5} [/tex]
➺[tex] \: x = 3[/tex]
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex]18 = 3 + 5x[/tex]
➺[tex] \: 18 = 3 + 5 \times 3[/tex]
➺[tex] \: 18 = 3 + 15[/tex]
➺[tex] \: 18 = 18[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
what is the ratio of 54:27 it the simplest form
Answer:
21
Step-by-step explanation:
Answer:
2 : 1
Step-by-step explanation:
54:27
Divide each side by 27
54/27:27/27
2 : 1
1. If segments MN, NO, and MO are tangent to circle P, find x.
70
x
•Р
2 m
M
N
-10 m
2 m
5 m
6 m
8 m
Answer:
Step-by-step explanation:
8m
A mountain bike is prices at $413 if the sale tax is 6.5 percent what is the cost to purchase the mountain bike ? Round to the nearest cent if necessary
The cost to purchase the mountain bike is $439.85.