Answer:
7.84
Step-by-step explanation:
783.68
[tex]783.63 \div 100 = 7.8363[/tex]
Approx to 7. 84
Use the graph to determine the following
a. the functions domain
b. the functions range
c. the x-intercepts if any
d. the y-intercepts if any
e. the function values f(0) and f(4)
The answers are:
a) The domain is the set of all real numbers.
b) The range is R: (-∞, -2]
c) there are not any x-intercept.
d) The y-intercept is y = -5
e) f(0) = -5
f(4) = -4
How to determine the domain and range by using the graph?For a function f(x) =y, we define the domain as the set of the inputs and the range as the set of the outputs.
To identify the domain we need to look at the horizontal axis, and there we can see that the function covers it completely, then the domain is the set of all real numbers.
For the range, we look at the vertical axis. Here we can see that the function has a maximum at y = -2 and then goes down, then the range is:
R: (-∞, -2]
c) Now we want to get the xintercepts. As you can see in the graph, it never intercepts the x-axis (the horizontal one). Thus, there are not any x-intercept.
d) The y-intercept is when the graph intercepts the vertical axis, in this case the y-intercept is at y = -5
e) f(0) is the value of the y-intercept, which we already know is y = -5
for f(4) we need to find x = 4 in the horizontal axis and then find the correspondent value of the graph.
We can see that f(4) = -4.
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Which expression are equivalent to X+2y+x+2
A)2(x+y+1)
B)2x+4y+4
C)none of the above
A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 16 children selected at random and finds that their mean attention span is 33 minutes with a standard deviation of 4 minutes. If we assume that attention spans are normally distributed, find a 95% confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Lower Limit:
Upper Limit:
Using the t-distribution, the limits of the 95% confidence interval are given as follows:
Lower: 30.9.Upper: 35.1.What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 16 - 1 = 15 df, is t = 2.1315.
The other parameters are given as follows:
[tex]\overline{x} = 33, s = 4, n = 16[/tex]
Hence the bounds of the interval are given as follos:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 33 - 2.1315\frac{4}{\sqrt{16}} = 30.9[/tex][tex]\overline{x} + t\frac{s}{\sqrt{n}} = 33 + 2.1315\frac{4}{\sqrt{16}} = 35.1[/tex]Which are the lower and the upper bound, respectively.
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use whole numbers and decimals to write 19.06 in expanded form
Answer:
19 + 0.06
taking out the whole number leaves you with 0.06
or you could do 10 + 9 +0.06
if you want to split it up more
The expanded form of the number 19.06 is 1×10 + 9×1 + 0/10 + 6/100.
What are the standard form and expanded form of numbers?Numerology can be expressed in a variety of ways. Word form is a means of expressing numbers verbally. Numbers can be written in expanded form by indicating the value of each digit. The digits 0 through 9 are used to write numerals in standard form, and each digit has a place value.
Given, A number in a decimal form which is 19.06.
This can be written as,
1×10¹ + 9×10⁰ + 0/10¹ + 6/10².
1×10 + 9×1 + 0/10 + 6/100.
Each digit has a face value and a place value.
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Solve for x: −7 < x − 1 < 8 (1 point)
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
The value of x in the inequality is: D. -6 < x < 9
How to Solve an Inequality?Given the inequality, −7 < x − 1 < 8, solve for the possible values of x as shown below:
−7 < x − 1
Add 1 to both sides
-7 + 1 < x - 1 + 1
-6 < x
or
x − 1 < 8
Add 1 to both sides
x - 1 + 1 < 8 + 1
x < 9
Combining both inequalities together, the value of x is: D. -6 < x < 9
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Answer:
98 Glass pitchers.
Step-by-step explanation:
You can determine this is the answer due to multiplying the sum and the product together, making the final answer 98 Glass pitchers. Hope this helped! :D
PLEASE HELP
The length of a bacterial cell is about 3 x 10−6 m, and the length of an amoeba cell is about 4.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
2 x 102
2 x 103
0.7 x 101
6.67 x 102
The amount of times that the the bacterial cell is smaller than the amoeba cell is; 150 times
How to use law of indices?
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.
We are given;
Length of a bacterial cell = 3 * 10⁻⁶ m
Length of an amoeba cell = 4.5 * 10⁻⁴ m
Thus, to get the amount of times that the bacterial cell is smaller than the amoeba cell, we need to convert the Length of a bacterial cell to have same exponent as that of the Length of an amoeba cell before dividing.
Thus;
Length of a bacterial cell = 3 * 10⁻⁶ m
Length of an amoeba cell = 450 * 10⁻⁶ m
Thus, the amount of times that the the bacterial cell is smaller than the amoeba cell is;
(450 * 10⁻⁶)/(3 * 10⁻⁶) = 150 times
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Find an equation of the line that has a slope of 5 and a
y
-intercept of
(
0
,
8
)
. Write your answer in the form
y
=
m
x
+
b
.
4x-2y=20 x+y=-1
ayuda!!!!es urgente!!!!!!!!!
Answer:
Step-by-step explanation:
A city in Texas started the day at -5 degrees Fahrenheit. The temperature increased by 15.1 degrees by nightfall. What is the final temperature at nightfall?
Step-by-step explanation:
Add 15.1 to -5-5 + 15.1 = 10.1Answer:
The final temperature is 10.1 degrees Fahrenheit
1.
Solve the Decimal Division Application. Round to the nearest tenth if needed.
There is approximately 0.16 square inches in 1 square centimeter. Determine
how many square centimeters are in 64 square inches.
40,000 square centimeters
10.2 square centimeters
400 square centimeters
4,000 square centimeters
Answer:
c, 400
Step-by-step explanation:
64 square in. = 412.902 square cm
412.902 rounded equals 400
hope that helps <3
Let f(x)=12(4)x−1. Evaluate f(3)
Answer: f(3)=143
Step-by-step explanation:
f(x)=12(4)x−1
f(x)=48x−1
f(3)=48(3)−1
f(3)=144−1
f(3)=143
Se desea estimar el ingreso familiar medio de los padres de familia de un barrio
de Arequipa con un error no exceda a 10 nuevos soles. ¿Qué tamaño, como
mínimo, debe tener la muestra para que la media sea estimada con una precisión
del 95%, si se sabe que la desviación estándar de los salarios mensuales es de 50
nuevos soles?
Using the z-distribution, it is found that a sample size of 97 is required.
What is a z-distribution confidence interval?The confidence interval is as follows:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is given by the following rule:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.For this problem, considering a margin of error of 10, the parameters are given by:
[tex]M = 10, \sigma = 50[/tex]
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Then we take the margin of error equation and solve for n as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{50}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 50 \times 1.96[/tex]
[tex]\sqrt{n} = 5 \times 1.96[/tex]
[tex](\sqrt{n})^2 = (5 \times 1.96)^2[/tex]
n = 96.04
Rounding up, as a sample size of 96 results in M > 10, we have that:
A sample size of 97 is required.
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A bakery is 12 meters wide and 19 meters long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $23.37 per meter. How much will the baker's shelf cost?
The cost of the baker's shelf is $1,448.94
How to calculate the cost of the baker's shelf ?
The length of the bakery is 12 meters
The width of the bakery is 19 meters
The wooden shelf costs £23.37 per meter
The cost can be calculated as follows
2(12+19) × 23.37
= 2(31) × 23.37
= 62 × 23.37
= 1,448.94
Hence the cost of the baker's shelf is $1,448.94
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Seven times the sum
of a number,n, and four
Answer:
7(n + 4) or 7×(n + 4)
Step by step explanation:
Whats the value for w?
Hey there!
|6w - 18| = 12
You can say:
|6w - 18| = 12
6w - 18 = 12 or 6w - 18 = -12
First let’s solve for: 6w - 18 = 12
6w - 18 = 12
ADD 18 to BOTH SIDES
6w - 18 + 18 = 12 + 18
SIMPLIFY IT!
6w = 12 + 18
6w = 30
DIVIDE 6 to BOTH SIDES
6w/6 = 30/6
SIMPLIFY IT!
w = 30/6
w = 5
Second let’s solve for: 6w - 18 = -12
6w - 18 = -12
ADD 18 to BOTH SIDES
6w - 18 + 18 = -12 + 18
SIMPLIFY IT!
6w = -12 + 18
6w = 6
DIVIDE 6 to BOTH SIDES
6w/6 = 6/6
SIMPLIFY IT!
w = 6/6
w = 1
Therefore, your answer should be:
w = 5 or w = 1
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Three times the number m plus five equals fourteen.
Answer:3
Step-by-step explanation:
3m+5=14
-5
3m=9
m=3
The breadth of the rectangular garden is 2
3
of its length. If its perimeter is 40 cm, what are its
dimensions.
Answer:
Length = 12cm
Width = 8cm
Step-by-step explanation:
Let the length be x
Let the width be 2/3x
Perimeter = 2 (l+b)
Length = 2 (x+2/3x) = 40
= x + 2/3x = 40/2
= x + 2/3x = 20
= x/1 + 2/3x = 20
LCM = 3
= 3x + 2x = 20
______
3
= 3x + 2x = 20 x 3
= 5x = 60
= x = 60/5
= x = 12
Width = 2/3 of 12
= 2/3 × 12
= 8
The reciprocal of 2/19 is
(Type an integer or a fraction.)
Answer:
-19/2
Step-by-step explanation:
If you want the reciprocal you need to change the sign to the opposite and flip the numbers.
Refer to the number line. Find the coordinate of point C that’s is 7/8 of the distance from M to J
Answer:
C = 16
Step-by-step explanation:
Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.
DistanceThe distance from M to J is the difference of their coordinates:
J -M = 18 -2 = 16
7/8 of that distance is ...
(7/8)(16) = 7(16/8) = 7(2) = 14
You are being asked for the coordinate of the point that is 14 units from M in the direction of J.
PointTo find the coordinate of C, we add the desired distance to the coordinate of M:
C = M +14
C = 2 +14 = 16
The coordinate of point C is 16.
During an experiment, the temperature of a mixture changes from 12 1/4°F to 15 3/5°F. What is the percent of the increase in the temperature of the mixture? I need an answer to the as a percent rounded to the nearest hundredth.
During the experiment the temperature changes slightly. Hence
the percentage increase in the temperature of the mixture is 27.35%.
Given, the temperature of the mixture changes from 12 1/4°F to 15 3/5°F
we are asked to determine the percentage of increase in the temperature of the mixture.
Initial temperature = 12 1/4°F
convert it into proper fraction.
= 48+1/4
= 49/4°F
Final temperature = 15 3/5°F
convert it into proper fraction.
= 75+3/5
= 78/5
Therefore, percentage increase:
= Final temp - Initial temp/Initial temp × 100
% Increase = (78/5 - 49/4)/49/4 × 100
% Increase = (78×4 - 49×5/5×4)/49/4 × 100
% Increase = 312-245/5×49 × 100
as 4 gets cancelled from numerator and denominator.
% Increase = 67×100/249
% Increase = 6700/249
% Increase = 27.346%
we need to round it off to the nearest hundredth.
% Increase = 27.35%
Hence the percentage increase in the temperature is 27.35%.
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what is the linear equation that has a y-intercept of -4 and a x-intercept of -5
The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
Equation of a lineThe equation of a line in slope intercept form is expressed y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:
Slope = y₂-y₁/x₂-x₁
Slope = 4/-5
Slope = -4/5
Determine the equation
y = -4/5x + (-4)
y = -4/5x - 4
Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
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Ellen's living room is 5 meters wide and 7 meters long. She wants to install indigo carpet that costs $10.00 per square meter. How much will it cost to buy enough carpet for the living room?
It will cost $350.00 to buy enough carpet for the living room.
What is an area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of the three-dimensional object.
Now it is given that,
Length of room,l =
Width of room, w =
So, area of the room = l*w = 7*5
⇒ area of the room = 35 square meter
Since, indigo carpet costs $10.00 per square meter
Thus, total cost to install the carpet = area of the room*carpet costs
⇒ total cost to install the carpet = 35*10
⇒ total cost to install the carpet = $350
Thus, It will cost $350.00 to buy enough carpet for the living room.
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Julia went to ten houses on her street. 5 of them gave her a chocolate bar. What fraction of the houses gave her a chocolate bar
The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of people in the pool.
0123456201614434285574697888
median =
years (Do not round)
The median is 16.
What is the median?A stem-and-leaf plot is a table that is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 21, 2 would be the stem and 1 would be the leaf.
Median can be described as the number that occurs in the middle of a data set that is arranged either in ascending or descending order.
The median of 21 numbers would be the 11th number. The 11th number is 16.
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larger of two numbers is 13 more than twice the smaller number. the sum of the numbers is 52. find each number
Answer:
13 and 39
Step-by-step explanation:
let the smaller number be n then the larger number is 2n + 13 , so
n + 2n + 13 = 52
3n + 13 = 52 ( subtract 13 from both sides )
3n = 39 ( divide both sides by 3 )
n = 13
2n + 13 = 2(13) + 13 = 26 + 13 = 39
then smaller number is 13 and larger number is 39
how much would $500 invested at 4% interest compounded monthly be worth after 7 years ? A(t)=P*e^nt
The worth of the investment is $1.51 * 10^39
How to determine the compound amount?The given parameters are
Principal, P = $500
Rate, r - 4%
Time, t = 7 years
Number of times, n = 12
So, we have:
A(t)=P*e^nt
This gives
A(12) = 500 *e^(12 * 7)
Evaluate
A(12) = 1.51 * 10^39
Hence, the worth of the investment is $1.51 * 10^39
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how far would the plane fly in 3 hours? in 3.5 hours?
if keiths Baseball game this year, the ratio of times he has gotten on base to the times he has been at bat is 4/14. select 3 ratios that are equivalent to 4/14
The three equivalent ratios to 4/14 are:
b) 2/7c) 8/28d) 6/21.What is an equivalent ratio?Equivalent ratios are ratios having the same proportion to each other when they are put in their simplest forms.
Ratios are how much a variable is in relation to the whole. Ratios are the same as proportions or portions of the whole variable
Ratios can be shown as decimals, fractions, percentages, or with the ratio sign (:).
Data and Calculations:For instance, 2/5 = 0.4 or 40%
2/7 = 4/14 (2 x 2/7) or 0.2857
8/28 = 4/14 (4/14 x 2) or 0.2857
6/21 = 4/14 (4/14 ÷ 2 x 3) or 0.2857
3/4 = 0.75
Thus, the three equivalent ratios to 4/14 are b) 2/7, c) 8/28, and d) 6/21.
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Question Completion:a) 2/5
b) 2/7
c) 8/28
d) 6/21
e) 3/4
What is this number in standard form?
(8 × 10) + (2x 100) + (9 × 1.000)
5)
Enter your answer in the box.
Answer:
Depending on where the 5) is supposed to be, if it is multiplying the 9 x 1000, then total answer is 45280. If however the equation is 80 + 200 + 45000 then multiply by 5 it is 46400
Pls help I need help rn
Evaluate 4x ^ 2 - 3x when x = 3
Answer:
27
Step-by-step explanation:
=4(3)^2-3(3)
=4(9)-9
=3(9)
=27
