Answer:
[tex]4x \times {10}^{3} [/tex]
Step-by-step explanation:
[tex] \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } [/tex]
[tex]0.4 \times {10}^{9 - 5} [/tex]
[tex]0.4 \times {10}^{4} [/tex]
[tex] = 4 \times {10}^{3} [/tex]
In a survey of 280 adults over 50, 75% said they were taking vitamin supplements. Find the margin of error for this survey if we want a 99% confidence in our estimate of the percent of adults over 50 who take vitamin supplements. (Round to the nearest thousandths.)
The margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067
The formula for calculating the margin of error is expressed as:
[tex]e= z \cdot \sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportion
n is the sample size
Given the following parameters;
p = 75% = 0.75
n = 280
z = 2.576
Substitute into the formula
[tex]e=\sqrt{\frac{0.75(1-0.75)}{280} }\\e=\sqrt{\frac{0.1875}{280} } \\e=\sqrt{0.0006964} \\e=0.0258 \times 2.576\\e \approx 0.067[/tex]
Hence the margin of error for this survey if we want a 99% confidence in our estimate of the percent is 0.067
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Write (-3,-9) and (4,-2) in slope intercept form
Answer:
Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)
Slope = 1
Y-intercept = -6
Step-by-step explanation:
Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.
To find slope, we will do y2 - y1 over x2 - x1.
This is how coordinates are written btw (x,y)
So we will do:
-2 - (-9) = -2 + 9 = 7
4 - (-3) = 4 + 3 = 7
Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)
Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:
[tex]y - y _{1} = m(x - x _{1})[/tex]
We'll use point (4,-2) for this:
y + 2 = 1 (x - 4)
Now we solve:
Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.
Hope this helps :)
Determine whether a quadratic model exists for the set of values below. If so, write the model. f(0) = -4, f(3) = -19, f(-1) = -11
Select the correct choice below:
A) A quadratic model does exist. It is f(x)= ?
B) A quadratic model does not exist.
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase
Answer:
Step-by-step explanation:
As the number under the exponent is less than 1, this is a decay function.
y decreases by (1 - 0.97)100 = 3% for each unit increase in x
so the increase would be -3%
which two expressions are equivalent to 7(t + 5)?
A). 7 • 5 • t
B). 7 • 5 + t
C). 7 • 5 + 7 • t
D). (5 + t) • 7
E). 5(t + 7)
Answer:
7.5+7.t
and
(5+t).7
are equivalent to 7(t+5)
Option D and E are equivalent to 7(t + 5) That is :
(5 + t) • 7 and 5(t + 7)
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given equation is :
7(t + 5)
7(t+5) multiply 7 with inside the parenthesis
7(t+5) = 7t + 7x5
this result is equivalent to option D and E which will give the same result.
Therefore, Option D and E are equivalent to 7(t + 5).
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find the slope from the pair of points (0,-5) (2,5)
Step-by-step explanation:
given points,
(0,-5) and (2,5)
we know,
slope = y2 - y1 / x2 - x1
→ 5 - (-5) / 2 - 0
→ 5+5/2 = 10/2
→ 5
therefore, slope of the line is 5.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Nina brought 25 cupcakes to school for her friends. There were two flavors, chocolate and vanilla. For every 2 chocolate cupcakes she brought, Nina brought 3 vanilla cupcakes.
How many vanilla cupcakes did Nina take to school? Explain.
The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes
We are given;
Number of cake Nina bought for her friends = 25 cupcakes
There are two flavors namely chocolate and vanilla.
Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;
Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5
Fraction of vanilla cupcakes of the total = 3/5
Thus;
Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes
Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes
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I need help with a pre calc/ law of sines question
Answer:
The c will equal 2.56
Step-by-step explanation:
The A will equal 42.48 degrees
The B will equal 96.92 degrees
write the domain and rang of h using interval notation
We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
Complete the table below to find solutions to the linear equation −3x−y=27.
Answer:
×=3×+y=27
Step-by-step explanation:
the variables are not the same so you cant do anything
Answer:
X Y (X,Y)
0 -27 (0,-27)
4 -39 (4,-39)
-9 0 (-9,0)
study the visual fraction below. Is it A,B,C, or D?
Answer: B
Step-by-step explanation: the pic shows this
Driveway pavers are 6 inches by 10 inches. If your driveway is 21840 square inches, how many pavers do you need for your driveway?
Answer:
364 pavers are needed.
Step-by-step explanation:
6 x 10= 60
21840/60= 364
geomtry plzz help 15 points
Answer:
False.
Step-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. However, 8+6=14 is less than 15. Hence, the triangle cannot be formed.
If 22 is added to a number and the sum is divided by 2, the result is 6 times a number. Find the number
Answer:
The number is 2
Step-by-step explanation:
(22+2)/2=12
6*2=12
May you please give brainliest?
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is
95% salt. She wants to obtain 60 ounces of a mixture that is 85% salt. How many ounces of each solution should she use?
we know A is 45% salt, so the amount of salt in A is (45/100)*A or 0.45A.
likewise we know that B is 95% salt, so the salt amount in it is (95/100)*B or 0.95B.
[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.45&0.45x\\ B&y&0.95&0.95y\\ \cline{2-4}&\\ mixture&60&0.85&51 \end{array}~\hfill \begin{cases} x+y=60\\ 0.45x+0.95y=51\\[-0.5em] \hrulefill\\ y = 60 -x \end{cases}[/tex]
[tex]\stackrel{\textit{substituting on the 2nd equation}}{0.45x+0.95(60-x) = 51}\implies 0.45x+57-0.95x=51 \\\\\\ 0.45x-0.95x=-6\implies -0.5x=-6\implies x = \cfrac{-6}{-0.5} \\\\\\ \boxed{x = 12}~\hfill \stackrel{\textit{we know that}}{y = 60 -x}\implies \boxed{y=48}[/tex]
Zoin is reading a 300-page book.He is 41% finshed. How many pages of the book has he read so far?
Answer: 41% of 300 is 123
this was a basic answer
He has read 123 pages of the book so far.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Zoin is reading a 300-page book.He is 41% finshed.
Therefore, we get;
41% of 300
41% x 300
0.41 x 300
= 123
Hence,
The number of pages is 123
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venere madona de mihai eminescu particularitatile textului literar și poetic
A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectangular part of the norman window to allow in as much light as possible, if there are only 12 ft of the frame material.
Answer:
the answer is 12 feet
Step-by-step explanation:
Can anyone help me answer this
Answer:
(-4;5)
Step-by-step explanation:
Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:
3 * (-4) - 2 * 5 = -12 - 10 = -22
(X-2)(5x+6)
Multiply using Distributive property
[tex](x-2)(5x+6)\\\\=x(5x+6) -2(5x+6)\\\\= 5x^2 +6x -10x -12 \\\\=5x^2 -4x-12[/tex]
5x-10x+6x-12
-`9x-12
i believe so
What is the answer for 14.8 x -2.5
Answer:
-37
Step-by-step explanation:
The answer is -37
Hope this is the answer u needed have a great rest of ur day
Answer:
the answer is -37
Step-by-step explanation:
hope this helps have a good rest of your night :)❤
An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.
Two dice are rolled; the numbers add to 11.
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Precalculus graph function help please
Suppose you roll a pair of six-sided dice and add their totals, What is the probability that the sum of the numbers on your dice is a number other than 11
Answer:
17/18
Step-by-step explanation:
total number of outcomes=6×6=36
favorable outcomes for a total of 11=56,65
number of favorable items for a total of 11=2
P(a total of 11)=2/36=1/18
P(for a total other than 11=1-1/18=(18-1)/(18)=17/18
What is the answer to the equation 56/3+7=
Hey there!
56/3 + 7
= 56/3 + 7/1
= 56/3 + 21/3
= 56 + 21/ 3 + 0
= 56 + 21/3
= 77/3
≈ 25 2/3
≈ 25.666667
Therefore, your answer is: [77/3] which is approximately [25.666667]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)
expand 6(7+11x)
,,,,
Answer:
It would be 41+66x
Step-by-step explanation:
if there are 60 houses and every house have one kid and there's 30 parts how much kids will have to go to each Park
Answer:
2 parks
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
There would be 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
is there a way to place 29 books on shelves so that each shelf has the same number of books with more than one book on each shelf explain
Answer:
No, 29 is prime
Step-by-step explanation:
.
Solve using traditional division: 3,385 31.
109 R6
1009
108 R 37
109
Answer:
109r6
Step-by-step explanationi got it