Answer:
[tex] x = 6 , -2[/tex]
Step-by-step explanation:
Let the required number be x .
According to the Question ,
[tex]\implies x^2 - 12 = 4x \\\\\implies x^2 -4x -12 = 0 \\\\\implies x^2 -6x + 2x -12 = 0 \\\\\implies x(x-6)+2(x-6) = 0 \\\\\implies (x-6)(x+2)=0\\\\\implies \boxed{\boxed{ x = 6 , -2}}[/tex]
Hence the number can be 6 or -2.
Shannon is creating a scale drawing of her classroom. If she is using the scale 1/2 inch = 1 foot and the room model is 10 inches by 15 inches, what are the dimensions of the actual room. Please help me!
Answer:
30 foot by 20 foot
Step-by-step explanation:
1 inch = 10 inch
2 foot = d foot
Cross products: 1xd=2x10
d=20foot
1 inch = 15 inch
2 foot = d foot
Cross products: 1xd=2x15
d=30foot
g A report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized and 20 out of 208 without pet dogs were burglarized. Suppose that this data is used to test the claim that the proportion of households with dogs that are burglarized is the same as the proportion of households without dogs that are burglarized. What would be the test statistic for this test
Answer:
Test statistic |Z| = 0.1040 < 1.96 at 0.05 level of significance
Step-by-step explanation:
Step(i):-
Given that a report on the nightly news broadcast stated that 10 out of 108 households with pet dogs were burglarized
First proportion
[tex]p_{1} = \frac{x_{1} }{n_{1} } = \frac{10}{108} = 0.0925[/tex]
Given that a report on the nightly news broadcast stated that 20 out of 208 households without pet dogs were burglarized
Second proportion
[tex]p_{2} = \frac{x_{2} }{n_{2} } = \frac{20}{208} = 0.0961[/tex]
where
[tex]P = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1} +n_{2} }[/tex]
P = 0.09486
Q = 1 - P = 1 - 0.09486 = 0.90514
Step(ii):-
Test statistic
[tex]Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]
[tex]Z = \frac{0.0925-0.0961 }{\sqrt{0.09486 X 0.90514(\frac{1}{108 } +\frac{1}{208 } )} }[/tex]
Z = -0.1040
|Z| = |-0.1040|
|Z| = 0.1040
Critical value Z = 1.96 at 0.05 level of significance
Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random sample of 50 students, she found that 32 students read at least 1 book last month. Assuming all conditions for inference are met, which of the following defines a 90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month?
a. 32 + or - 1.645 underroot(32)(18)/50.
b. 32 + or - + 1.96 underroot(32)(18)/50.
c. 0.64 + or - 1.282 underroot(0.64)(0.36)/50.
d. 0.64 + or - 1.645 underroot(0.64)(0.36)/50.
e. 0.64 + or - 1.96 underroot(0.64)(0.36)/50.
Answer:
[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex], option D
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
From a random sample of 50 students, she found that 32 students read at least 1 book last month.
This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Confidence interval:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.64 \pm 1.645\sqrt{\frac{0.64*0.36}{50}}[/tex]
So the correct answer is given by option D.
a. In the diagram above, angles ABCABC and CBDCBD are
, and their measures sum to
degrees.
b. The measure of \angle ABC∠ABC is
degrees.
Show your work in the box below.
Answer:
Step-by-step explanation:
..
the solution of the equation x2-6x=0 is ?
Help!!! Quick answer please!
Answer:
18 sq ft
Step-by-step explanation: all you have to do is add the sides. 5+5=10
4+4= 8
10+8=18
This makes the most sense with the answers givin
Solve the equation for the value of x
-15x=45
Show your work please, thank you.
Answer:
x=-3
Step-by-step explanation:
-15x=45
x=-45/15
x=-3
Answer:
okay x=-3
Step-by-step explanation:
-15x=45
-15/-15=45/15
x=-3
I need help
Please ?!!!!!!
Answer:
High blood pressure
Step-by-step explanation:
Possible DEATH
Answer:
High blood pressure
Step-by-step explanation:
High blood pressure is dangerous
Find the length of chord AD
9514 1404 393
Answer:
AD = 15
Step-by-step explanation:
The products of the segment lengths are the same.
(x -2)(x +7) = 4(2x -1)
x^2 +5x -14 = 8x -4
x^2 -3x -10 = 0
(x -5)(x +2) = 0
The positive solution is x=5.
Chord AD is ...
(x -2) +(x +7) = 2x +5 = 2(5) +5 = 15
Chord AD is 15 units long.
What is the length of arc S shown below?
S
2
7 cm
The angle in the figure is a central angle in radians.
Answer: S= 14 cm
Step-by-step explanation:
Answer: 14
Step-by-step explanation: Khan Academy
Judy built a rectangular patio that is 9 units wide and has a perimeter of 40 units.
Which image correctly labels the given information?
Answer:
See attachment for image
Step-by-step explanation:
Given
[tex]Width = 9[/tex]
[tex]Perimeter = 40[/tex]
Required
The image that illustrates the patio
The question is incomplete as the possible images are not given. So, I will attach an image that illustrates the scenario.
But first, the length of the patio must be calculated using perimeter formula
[tex]Perimeter = 2 *(Length + Width)[/tex]
[tex]40 = 2 *(Length + 9)[/tex]
Divide both sides by 2
[tex]20 = Length + 9[/tex]
Solve for Length
[tex]Length = 20 - 9[/tex]
[tex]Length = 11[/tex]
This implies that the dimension of the patio is 11 units by 9 units (See attachment)
Refrigerators are able to transfer energy out of a substance. AT first the
substance is a gas but then it changes so first the molecules
A-vibrate in place but then the move apart from each other
B-are far apart but when energy leaves the particles move more closely around each
other
C-are moving close together very quickly and then very far apart suddenly
Answer:
C- are moving close together very quickly and then very far apart suddenly
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer/Step-by-step explanation:
The triangle given is a right triangle
Reference angle = angle E
Thus:
The side that is opposite to angle E is side DF = e
The side that is adjacent to angle E is side EF = d
The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f
Mrs. Torchia picked 54 flowers, which represents 60% of all the flowers in her garden.How many flowers are left in Mrs. Torchia’s garden?
Johnny wants to invest $10,000 at 4.5% interest rate compounded quarterly, How much will he have after 38 years?
Answer:
a= $54764.26
Step-by-step explanation:
r=R/100
r=4.5/100
r=0.045 rate per year
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.045/4)(4)(38)
A = 10,000.00(1 + 0.01125)(152)
A = $54,764.26

HELP ASAP! I will mark Brainlist! Thanks (:
Answer:
Corresponding angles postulate
Answer:
definition of parrallel lines
Step-by-step explanation:
oh sorry. I understood it as parrallel
Consider the line plot below.
What is the median of the data?
What is the mean?
A car travels a distance of 50km in 30mins. what is the average speed?
Answer:
r = 100 km/hr is the average speed of the car.
Step-by-step explanation:
The formula which relates distance d, time t, and speed or rate of travel r is:
d = rt.
We're given that the distance traveled d = 50 km and the time t traveled = 30 minutes = 1/2 hr. Substituting this given information into the distance-rate-time formula for d and t to find r, we get:
50 km = r(1/2 hr)
Now, dividing both sides by 1/2 hr, we have:
50 km/(1/2 hr) = [r(1/2 hr)]/(1/2 hr)
50 km/(1/2 hr) = r[(1/2 hr)/(1/2 hr)]
[50 km/(1/2)] km/hr = r[(1/2 hr)/(1/2 hr)]
50(2/1) km/hr = r[1]
100 km/hr = r[1]
r = 100 km/hr is the average speed of the car.
HELP PLSSSSSSSSSSSSSSSSSSSSSSS
Answer:
3) not equivalent
4) equivalent multiply by 2
5) equivalent multiply by 2
Heather traveled at a
constant rate. She drove
162 miles in 3 hours.
How far in miles, did
Heather drive in 1 hour?
Answer:
54 miles
Step-by-step explanation:
divide 162/3.
3(x+2)=15
I just need help with this problem please.
Answer:
x=3
Step-by-step explanation:
Divide both sides by 3
3(x+2)/3 = 15/3
You get x+2=5, subtract 2 from each side
x+2(-2)=5(-2)
x=3
Someone Help Me Pleaseee
Answer:
II
Step-by-step explanation:
According to the graph,,,,they soent atleast abit over $100 so it can be choice a,secondly there bill had only manage to decrease about three times but only increased once so the answer is II only
A worker at a snack stand opened a new box of cups. The first day, the worker used
30 cups from the box. The second day, the worker used 15% of the remaining cups in the
box. A total of 90 cups were used on the second day. What was the original number
of cups in the box before any cups were used?
A
400
B
570
с
630
D
800
My teacher wants me to answer questions 1-10 with work shown. It can be any kind of work as long as it shows how you got the answers.
Answer:
use the app photomath its free. and shows you all the steps
Step-by-step explanation:
Which of the following scatterplots would have a trend line with a negative slope?
Answer:
Step-by-step explanation:
If we let the points in the first graph define the position and slope of a line through the points, this line would have a negative slope and a negative trend line. As x increases, y decreases.
Answer: it’s A. I took the test.
Step-by-step explanation:
the Beatles are better than the stones and that is a fact
Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?
Answer:
$2,800
Step-by-step explanation:
The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.
I = (2000)(0.05)(8)
I = $800
Then we add that to the principal to get $2,800
---------------------------------
Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?
I = PRT
400 = P(0.06)(3)
400 = 0.18P
P = $2,222. 22
----------------------------------------
Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?
I = PRT
I = (275)(0.08)(12)
I = $264
------------------------------------
Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???
I = PRT
I = (6000)(0.05)(T)
Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.
of 20 possible books you plan to take 5 with you on vacation. how many different collections of 5 books can you take?
6
YA
Triangle ABC has vertices A(-4,-1), B(-3,-5), C(-1, -1). Graph and label the vertices of ABC
and its image A'B'C' after translating it to 4 units right and 3 units up. Choose the correct
ordered pairs of the image A'B'C'.
(2 Points)
O A'(4.1), B (3,5), C' (1.1)
O A'(0,2), B(1, -2). C'(3.2)
O A'(0.2), B (1,2), C'(-3,-2)
Answer:
A'(0,2), B(1, -2). C'(3,2)
Step-by-step explanation:
Given
[tex]A = (-4,-1)[/tex]
[tex]B = (-3,-5)[/tex]
[tex]C =(-1,-1)[/tex]
Solving (a); Graph and Label ABC
See attachment for graph
Solving (b): Graph and Label A'B'C'
Translation:
4 units right
3 units up
4 units right
The rule is:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]A = (-4,-1)[/tex] ==> [tex](-4+4,-1) =(0,-1)[/tex]
[tex]B = (-3,-5)[/tex] ==> [tex](-3+4,-5) =(1,-5)[/tex]
[tex]C =(-1,-1)[/tex] ==> [tex](-1+4,-1) =(3,-1)[/tex]
3 units up
The rule is:
[tex](x,y) \to (x,y+3)[/tex]
So, we have:
[tex](0,-1)[/tex] ==> [tex]A' =(0,-1+3) = (0,2)[/tex]
[tex](1,-5)[/tex] ==> [tex]B' =(1,-5+3) = (1,-2)[/tex]
[tex](3,-1)[/tex] ==> [tex]C' =(3,-1+3) = (3,2)[/tex]
The coordinates of A' B' and C' are:
A'(0,2), B(1, -2). C'(3,2)
See attachment for graph
A ______________ consists of an a sample space and a list of events with their probabilities.
probability model
sample space
likelihood
outcome
Sample space َََ َ َ َ َ َ َ َ َ َ