Answer:
P(t) = 300e^0.15t
Step-by-step explanation:
The exponential equation for calculating the growth rate is expressed as;
P = P0e^rt
P0 is the initial value =300,
r is the growth rate = 15% = 0.15
t is the time
Substitute;
P = 300e^0.15t
Hence the function that represent the information is P = 300e^0.15t
2
Select the correct answer.
Which value is needed to determine a confidence interval for a sample mean?
OA
the margin of error for the proportion
ов.
the population size
OC.
the sample proportion
OD
the standard error of the mean
Answer:
D. the standard error of the mean
Step-by-step explanation:
trust me i got it right Plato
The value needed to determine a confidence interval for a sample mean is the standard error of the mean option (D) is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]
Where s is the standard deviation.
n is the sample size.
[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
It is given that:
The value needed to determine a confidence interval for a sample mean is the standard error of the mean.
CI = X + Z(s/√n)
Here CI is the confidence interval
Z is the confidence level
X is the sample mean
Thus, the value needed to determine a confidence interval for a sample mean is the standard error of the mean option (D) is correct.
Learn more about the confidence interval here:
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tell the answer of this please:
5- {2*[(-5power2) -7 ] /3}
Answer:
-60
Step-by-step explanation:
Given the expression
5- {2*[(-5power2) -7 ] /3}
= 5- {2*[(25) -7 ] /3}
= 5- {2*[18 ] /3}
= -5 [2*6]
= -5(12)
= -60
Hence the required answer is -60
Solve V3-5x=Vx+2. What is the value of x?
A 1/6
B 1/4
C 5/6
D There is no real number solution for x.
Answer:
[tex]x = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{3 - 5x} = \sqrt{x + 2[/tex]
Required: Find x
Square both sides
[tex]3 - 5x = x + 2[/tex]
Collect Like Terms
[tex]-5x -x = 2 - 3[/tex]
[tex]-6x = -1[/tex]
Make x the subject
[tex]x = \frac{-1}{-6}[/tex]
[tex]x = \frac{1}{6}[/tex]
A hair dryer wastes 376J for every 1500J of electrical energy it uses. How efficient is the hairdryer?
Answer:
[tex] \boxed{efficiency, \gamma = 74.93 \%}[/tex]
Step-by-step explanation:
[tex] efficiency, \: \gamma = \frac{1500 - 376}{1500} \times 100 \\ \gamma = \frac{1124}{1500} \times 100 = 74.93 \\
efficiency, \gamma = 74.93 \%[/tex]
NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest
In parallelogram ABCD, the measure of angle A is 99°. What are the measures of the other 3 angles? Explain how you know.
Answer:
B:81
C:99
D:81
Step-by-step explanation:
In a parallelogram, opposite angles are congruent and consecutive angles (angles next to each other) are supplementary, or add to 180. Considering that there is no diagram, we can use our imagination here. So B is next to A, so <A+<B=180. <B must equal 81. I repeated this process for the rest of the angle measures.
[tex]\\ \sf\longmapsto <A=<C=99°[/tex]
sum of corresponding angles is 180°
[tex]\\ \sf\longmapsto <A+<B=180[/tex]
[tex]\\ \sf\longmapsto 99+<B=180[/tex]
[tex]\\ \sf\longmapsto <B=180-99[/tex]
[tex]\\ \sf\longmapsto <B=81[/tex]
[tex]\\ \sf\longmapsto <B=<D=81°[/tex]
Describe how to draw a tape diagram to represent and answer 3 ÷ 3/5 = ? for a friend who was absent.
Answer:
this is the correct answer
In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If this number drops by 16%, how many cars will the dealer sell then? Round to the nearest whole number.
A 203 cars
B 309 cars
C 273 cars
D 256 cars
Answer:
c. 273 cars
Step-by-step explanation:
First you need to find what 16% of 325 is
325x.16=52
because the number sold dropped by 16% you will subtract 52 from 325
325-52=273
you can also calculate the answer by subtracting 100% by 16%
100%-16%=84%
now you can calculate 84% of 325
325x.84=273
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.8 years, and standard deviation of 2.2 years.
If 5 items are picked at random, 5% of the time their mean life will be less than how many years?
compute the balance of $12,000 invested at APR of 4.4% for 18 yrs
Answer: the final ballance is 26445.35
The total compound interest is $14,455.35.
HELP ASAP!!! plsss in need of help :))
Answer:
A
Step-by-step explanation:
G is a similar angle to L. Tell me if it helps.
Please help! Thank you!
(5x + 15)⁰+ (3x - 3⁰) = 180⁰ ( same side on interior angle theorm)
(8x + 12)⁰= 180⁰
8x = 168⁰
x = 21
Angle 1 +( 3x - 3)⁰ = 180⁰⁰ ( linear pair)
Angle 1 + 63 - 3⁰ = 180⁰
Angle 1 + 60⁰ = 90⁰
Angle 1 = 180⁰- 60⁰
Angle 1 = 120⁰
Answer:
(5x+15)°+(3x-3)°=180°(by co interior angle)
5x+3x+15 - 3=180°
8x+12=180°
8x=180°-12
8x=168°
x=168/8
x=21
by putting value of x
(3x-3)° = 3×21-3 = 60°
60°+angle 1 = 180°[by linear pair]
angle 1=180°-60°
angle 1=120°
The product of two consecutive positive integers is 110. Find the integers.
Answer:
10 and 11Step-by-step explanation:
10 & 11
Hope that helps!
Write an equation to show how to find the total length, in meters, of the 8 pieces of wood.
Answer:
256
Step-by-step explanation:
8↑2 + 8↑2 +8↑2+8↑2+8↑2+8↑2+8↑2+8↑2
8x2x2=32 8x2=16x2=3232x8= 256 +1 32 x 8______ 2 5 62x8=16 **then add the +1 to the 3**3x8=24Can someone explain this pls
Answer:
n=number of terms (60)
Step-by-step explanation:
an= -4+12(n-1)
a60= -4+12(60-1)
a60= 704
please fast answer. to find the height of the pole, a surveyor uses a theodolite. the theodolite is 4 ft tall. the surveyor stands 140 feet away from the base of the pole . then she measures the angle of elevation to the top of the pole to be 44. what is the height of the pole? round to the nearest foot.
Answer:
C. 139 ft
Step-by-step explanation:
Height of the pole = x + 4 ft
First, find x using trigonometric function.
Reference angle = 44°
Opposite side length = x
Adjacent side length = 140 ft
Apply TOA, which is:
Tan 44 = opp/adj
Tan 44 = x/140
Multiply both sides by 140
140 × Tan 44 = x
135.196428 = x
x ≈ 135 ft
✔️Height of the pole = x + 4 ft = 135 + 4 = 139 ft
Transformation of parent Functions I need help
Answer:
D: ∛(¼(x + 5))
Step-by-step explanation:
The parent function is;
f(x) = ∛x
A horizontal stretch multiplying by ¼ means that our function is now;
f(x/4) = ∛(x/4)
Now shifting to the left by 5 units denotes;
f(x + 5) = ∛((x + 5)/4)
Or expressed as; ∛(¼(x + 5))
HELP PLEASE !!!!!
Practice Problem #1: The junior high basketball team played ten games. Find the standard deviation for the number of baskets scored by the team for the ten games: 8,4, 6, 6, 7, 7, 9, 4, 8,5. Number: Difference From the mean: Difference from the mean-2: Sum of(difference from the mean: A: Mean B:n_ C: Sum of (Difference from the Mean) 2 divided by (n): _= variance. D: Standard deviation = square root of variance. Standard deviation
Answer:
standard deviation=2.94
x²+4x+20=0
a=1 b=20 c=4
a=1 b=4 c=-20
a=1 b =4 c = 20
a=1 b=-4 c=0
2x²+6x+5=0
-2x²+x+5 identify the coefficients
Step-by-step explanation:
The general form of the quadratic equation is :
[tex]ax^2+bx+c[/tex]
The given equation is x²+4x+20=0
On comparing the given equation and the general equation, we find that
a = 1, b = 4 and c = 20
Hence, the correct option is a=1 b =4 c = 20.
If the equation is 2x²+6x+5=0, then
a = 2, b = 6 and c = 5
If the equation is -2x²+x+5
a = -2, b = 1 and c = 5
HELPPPPP PLSSSSSS psplsplsplspsl
Answer:
angle 2 ande angle 5
Step-by-step explanation:
Answer:
The pair of angles which is not congruent is
<2 and < 5
Hope it will help :)
Y
5-
4+
3+
2-
1+
T
-5 -4 -3 -2
3
4
5
- 2
-3+
-4
-5
Find the inequality represented by the graph.
Will mark brainliest
15 points
Answer:
ongaginga jeje críquet 5 minutos para el palmar
A business owner wants to know if it will be profitable to open a new coffee shop in a nearby town.In towns where the shop has been successful,the shop name is recognizable to people 53% of the time .He survey random sample of 12 residents of the town
Complete question :
A business owner wants to know if it will be profitable to open a new coffee shop in a nearby town.In towns where the shop has been successful,the shop name is recognizable to people 53% of the time .He survey random sample of 12 residents of the town. Find the probability that among these 12 surveyed residents, none of them have ever heard of the coffee shop
Answer:
0.000116
Step-by-step explanation:
Using the binomial probability relation :
Probability of success, p = 0.53
1 - p = 0.47
Number surveyed, n = 12
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability that none has heard of the coffee shop :
P(x = 0) = 12C0 * 0.53^0 * 0.47^12
P(x = 0) = 0.000116
Which value of x creates a true statement when substituted into the following equation?
x + 2^2 = - 9
A.5
B.-13
C.11
D.-5
Answer:
-13
Step-by-step explanation:
When substituted, the LHS=RHS hence true
Hi i need help with this please?!??!!
Answer:
May be your answer is option 3
Find the area of the figure. Use 3.14 for pie . Round your answer to the nearest tenth.
Answer:
538.3
Step-by-step explanation:
First of all find the area of the rectangle
L*W
15*30
450
Now find the area of semi circle
1/2[tex]\pi r^{2}[/tex]
Since radius is half a diameter divided 15 by 2=7.5
1/2[tex]\pi 7.5^{2}[/tex] 7.5 times 7.5= 56.25
1/2*3.14*56.25
56 times 3.14 is 176.625 now multiply 176.625 by 1/2
Answer is 88.3125
Now add 450 to 88.3125
Final answer: 538.3125
Megan has a large packing box shaped as a cube with a volume of 216 cubic feet.
What is the side length for the cubical box? Explain how you find the length.
PLZZ help
Answer:
s = 6 feet
Step-by-step explanation:
Given that,
The volume of the cube, V = 216 feet³
We need to find the side length for the cubical box. We know that the volume of the cube is given by :
[tex]V=s^3[/tex], s is the side length of the box.
So,
[tex]s={V}^{1/3}\\\\s={216}^{1/3}\\\\s=6\ feet[/tex]
So, the side length for the cubical box is equal to 6 feet.
select the name of the polygon. then select whether it is a regular polygon or not a regular polygon.
Which of the following quadrilaterals must be a parallelogram according to the minimum criteria? Question 4 options: A) image B) image C) image D) image
The quadrilateral that meets the requirements of the definition of a parallelogram is the diagram in (Option C).
What is a parallelogram?
A parallelogram is a quadrilateral who has at least two sides that are equidistant from each other. Parallel lines are recognized in two dimensional shapes as lines with two marks each on them.
Hence, The quadrilateral that meets the requirements of the definition of a parallelogram is the diagram in Option C.
Learn more about parallelograms at;
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If the dimensions of a rectangle are
increased by 100%, then the area
of the rectangle is increased by
what percent?
Answer:
300%
Step-by-step explanation:
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What is 4 1/4 as a decimal number ?
Answer: It took me a long time to write this. Can i have brainliest if it is alright? =3
Step-by-step explanation: To start off, note that 4 1/4 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.
4 = Whole number
1 = Numerator
4 = Denominator
To get 4 1/4 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.
Here are the detailed math steps we use to convert 4 1/4 mixed number to decimal form:
Step 1: Multiply the whole number by the denominator:
4 × 4 = 16
Step 2: Add the product you got in Step 1 to the numerator:
16 + 1 = 17
Step 3: Divide the sum from Step 2 by the denominator:
17 ÷ 4 = 4.25
That's it folks! The answer to 4 1/4 in decimal form is displayed below:
4 1/4 = 4.25
So the answer is 4.25 ^^^^^^^^^
Look at picture^*answer quick pls*
Answer:
2
Step-by-step explanation:
Answer:
[tex] \sqrt{60} \\ [/tex]