Answer:
[tex]B(t) = 300(1.01)^{t}[/tex]
Step-by-step explanation:
The balance owed after t months can be given by an exponential function in the following format:
[tex]B(t) = B(0)(1+r)^{t}[/tex]
In which B(0) is the initial balance owed and r is the growth rate, as a decimal.
You owe $300 on your credit card. For every month that you fail to make a payment, your balance increases by 1%.
This means, respectively, that [tex]B(0) = 300, r = 0.01[/tex]
So
[tex]B(t) = 300(1+0.01)^{t}[/tex]
[tex]B(t) = 300(1.01)^{t}[/tex]
Factorise the following:
x²-7x-30
Answer:
x²-(10-3)x-30
x²-10x-3x-30
x(x-10)-3(x-10)
(x-3)(x-10)
Step-by-step explanation:
I hope this helps! Stay safe <3
[6] Jessica sold one third of her records and then bought 84 more. She now has 178 records. How many records did Jessica begin with?
Answer:
141 recordsStep-by-step explanation:
Let the initial number be x
Sold 1/3x, and now has:
x - 1/3x = 2/3xBought 84 more and now got 178:
2/3x + 84 = 1782/3x = 94x = 94 ÷ 2/3x = 94 × 3/2x = 141Jessica had 141 records initially
5. If m 6 = x, m 7 = x – 20, and m 11 = 80 then x =
Answer:
6
Step-by-step explanation:
Answer is there the value of this
Please help me I really need it!!!! Find the midpoint of BD.
Answer:
The midpoint of [tex]\overline{BD}[/tex] is [tex](\frac{a}{2},\frac{a}{2})[/tex].
Step-by-step explanation:
Consider the provided information.
We need to find the midpoint of [tex]\overline{BD}[/tex].
For this, we will use the midpoint formula: [tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Now put [tex](x_1,y_1)=(0,a)[/tex] and [tex](x_2,y_2)=(a,0)[/tex] in the above formula and solve for M.
[tex]M=(\frac{0+a}{2},\frac{a+0}{2})[/tex]
[tex]M=(\frac{a}{2},\frac{a}{2})[/tex]
Hence, the midpoint of [tex]\overline{BD}[/tex] is [tex](\frac{a}{2},\frac{a}{2})[/tex].
If the radius of a circle is 9 cm, what is the area of the circle?
Answer:
option B
Step-by-step explanation:
In terms of π
Area =πr²
Area=π×9²cm
Area=81π sq cm
can anybody help please i will help them also if they help me
What is f(-2) if f(x) = 1/3x
Q#1: Suppose that you have two different algorithms for solving a problem. To solve a problem of size n, the first algorithm uses exactly n*exp1-[n+2n+3n+4n]/nlne(10) operations and the second algorithm uses exactly n! operations. As n grows, which algorithm uses fewer operations?
Answer:
The one of -[n+2n+3n+4n]/nlne(10) has fewer operations because the value of n is static.
The one of n! ( factorial ) is factorised up to n∞ hence has infinity operations.
Which athletes, if any, would qualify for the finals if the length of a jump that qualifies for the finals were at least 20 feet?
Answer:
Amir and ryan would qualifiey
Step-by-step explanation:
Reading and writing
Will give brainliest
Answer:
C
Step-by-step explanation:
Answer:
D = 4
Step-by-step explanation:
Find the distance from C to G.
4
86
7
64
3
32
Answer: 64/3
Step-by-step explanation:
Suppose x has a distribution with µ = 74 and σ = 8. If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?
Options :
No, the sample size is too small.
Yes, the x distribution is normal with mean μ x = 66 and σ x = 1.5.
Yes, the x distribution is normal with mean μ x = 66 and σ x = 6.
Yes, the x distribution is normal with mean μ x = 66 and σ x = 0.4.
Answer:
No, the sample size is too small.
Step-by-step explanation:
Given that:
Mean, μ = 74
Standard deviation, σ = 8
Sample size, n = 16
Based on the information given, in other to be able to make inference on the x distribution of sample means, then the size of the sample of utmost importance in statistic. Large sample sizes (usually > 30) gives are always required as sampling distribution conform to the population distribution Inn terms of mean as the sample size grows larger as the distributon becomes approximately normal.
However, the sample size given above is well below 30.hence, making it difficult to say anything about the distribution of sample means
Find the slope of the linear function.
12x = -10 + 2y
Slope =
Blank 1:
Answer:
y= 6x+ 5 hope this helps ! please give brainlist ):
Step-by-step explanation:
In a survey of 2,900 people who owned a certain type of car, 1,740 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car
Answer:
60%
Step-by-step explanation:
1740 / 2900 = 0.6
⚠️ANSWER NEEDED QUICK⚠️
*RIGHT ANSWER GETS BRAINLIEST*
Answer:
Try the third option
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
it just is lol
Help find the answer
Answer:
1218
(14x25)x3=1050
because you have three sides
14x12=168 then 168+168=336
then add al together 1050+336=1 386
6. What is the tens' digit of the largest 4-digit even number which uses each of the digits 5, 7, 8, and 9 exactly once?
A 9
B) 8
C) 7
D) 5
Answer:
B)
Step-by-step explanation:
8 is even number which uses each of the digits exactly once.
How to find the perimeter of a triangle? An image is attached.
Answer:
18m³+2m²-m
Step-by-step explanation:
(5m³+3m²-2m)+(8m³-4m²+3m)=13m³-m²+m+(5m³+3m²-2m)=18m³+2m²-m
Use the equation: y = 5x - 4 Write an equation in any form) of a line that passes through the point (-1,7) and is parallel to the original line.
Answer:
y = 5x + 12
Step-by-step explanation:
Use the formula: y - y1 = m(x - x1)
Plug in all numbers into your equation: y - 7 = 5(x - -1)
Minus with a minus becomes a positive: y - 7 = 5(x + 1)
Distribute: y - 7 = 5x + 5
Add 7 to both sides: +7 +7
Answer: y = 5x + 12
Solve.
z + 17 = 9
−9
−8
8
9
eight
Step-by-step explanation:
1. subract 17 -9 and you get
z= -8
-8+17=9
sry about that
Answer: -8
Step-by-step explanation:
To solve this, you would just plug the answers in the equation for Z and see which one makes sense and is accurate.
-8+17=9 is correct
Your student email account requires you to choose a password of 4 letters followed by one of the digits 0-9. The password can consist of upper case letters (26) or lower case letters (26).
How many different five-character passwords can be created?
Answer: 520
Step-by-step explanation:
Total choices for letters = upper case letters (26) + lower case letters (26).
= 26+26 = 52
Choices for digits = 10
By Fundamental counting principle,
The different five character passwords can be created = (Choices for letters) x (Choices for digits)
= 52 x 10
= 520
Hence, the number of different five character passwords can be created = 520
For an experiment, a scientist needs 1/2 cup baking soda for 4/5 liter of water. Using this ratio, how much baking soda is needed for one liter of water?
Answer choices-
4/10 cup
5/8 cup
8/5 cups
10/4 cups
Answer:
5/8 cup of baking powder.
Step-by-step explanation:
Hence, using the ration given in the above question:
4/5 liter of water = 1/2 cup of baking soda
1 liter of water = x cup of baking powder
Cross Multiply
4/5 liter of water × x cup of baking powder = 1 liter of water × 1/2cup of baking powder
x cup of baking powder = 1 liter of water × 1/2cup of baking powder/4/5 liter of water
x cup of baking powder = 1/2 ÷ 4/5
x cup of baking powder = 1/2 × 5/4
x cup of baking powder = 5/8 cup of baking powder.
Therefore,
5/8 cup of baking soda is needed for one liter of water.
Is y=3/4x proportional?
Answer:
My answer is Yes
Step-by-step explanation:
Does Peyton Manning have a greater
passing ability in domes? After all,
inside a dome the weather is always
nice for throwing the ball! The
accompanying relative frequency
histograms show Manning’s 18 career
road performances inside a dome and
his 86 career performances outside
(through the 2010 season). In this
case, his performance is measured
with his passer rating, a combination
or passing yards, completion
percentage, number of touchdowns,
and number of interceptions. Only
road games are included because
Manning plays his home games in a dome and the benefit of playing in a dome would be impossible to separate
from the benefit of playing at home.
a. Briefly compare these distributions.
b. State the hypotheses we are interested in testing.
c. Manning’s mean passer rating in domes was 109.3 and his mean passer rating outside was 89.8, for a
difference (dome – outside) of 19.5. Describe how to simulate the distribution of this test statistic, assuming
that Manning’s ability is the same in both locations.
d. Here are the results of 100 trials of the simulation from part c. Describe what information is provided by the
dotplot.
e. Use the dotplot to estimate and interpret the p-value.
f. Using the p-value from part e, make an appropriate conclusion.
g. Is there is convincing evidence that Manning had a greater ability in domes, can we conclude that the dome is
the cause? Explain.
did u ever get the answers for it lol. i need help on it too
Answer:
ok so i had this for my stat class and i came on here to try and figure it out but didn't find any answers, so i just went ahead and tried it for myself. i'm not sure if i'm 100% correct, so if anyone knows the right answers leave a comment / post the right answers
ALSO my stat teacher gave us this exact assignment with these exact pictures so if ur gonna use these answers make sure you paraphrase them/reword them as best as you can
a) Briefly compare these distributions.
The distribution of passing ability for Manning’s passes in domes is relatively symmetrical while the distribution of his passes outside is skewed to the left. The distribution of outside performances varies slightly more than that of his performances within domes; outside performances vary from about 40-160 while performances in domes vary from about 60-160 (passer ratings).
b) State the hypotheses we are interested in testing.
H(o): Peyton Manning does not have a greater passing ability in domes than outside.
H(a): Peyton Manning has a greater passing ability in domes than outside.
c) Manning’s mean passer rating in domes was 109.3 and his mean passer rating outside was 89.8, for a difference (dome – outside) of 19.5. Describe how to simulate the distribution of this test statistic, assuming that Manning’s ability is the same in both locations.
1. Using 104 note cards, write each deviation on a different note card.
2. Shuffle the cards and divide them into two groups; one for passes outside, and one for passes within a dome.
3. Calculate and record the simulated difference (dome - outside) in standard deviation for the two types of pitches.
4. Repeat many times.
d. Here are the results of 100 trials of the simulation from part c. Describe what information is provided by the dotplot.
The dotplot illustrates the simulation repeated 100 times, with each dot representing a difference between the difference (dome - outside) for each individual simulation.
e) Use the dotplot to estimate and interpret the p-value.
Because there are no dots greater than or equal to our previously calculated difference of 19.5, the p-value = 0/100 = 0.
f) Using the p-value from part e, make an appropriate conclusion.
Since it is impossible (p = 0) to have a difference (dome - outside) in observed standard deviations of 19.5 or more by random chance alone when the true standard deviation of Manning’s passes was the same inside and outside a dome, there is convincing evidence that the true standard deviation of Manning’s passes was greater for his passes in a dome than outside a dome.
g) If there is convincing evidence that Manning had a greater ability in domes, can we conclude that the dome is the cause? Explain.
We can never 100% conclude that the dome is the primary cause of his better performance within domes. Other things like wind, crowd cheering, motivation, and teamwork could be some of the various causes of his better performance.
Step-by-step explanation:
● For the polygon you are assigned, assume the radius is 1 unit . Round all answers to the nearest hundredth , if necessary.
1) Calculate the measure of each interior angle of your polygon. Be sure to show your work!
2) Use your knowledge of trigonometry to find the length of one side of your polygon. Be sure to show your work!
3) Use your knowledge of trigonometry to find the length of the apothem (the segment from the center to the midpoint of one side). Be sure to show your work!
4) Calculate the perimeter of your polygon. Be sure to show your work!
5) Calculate the area of your polygon by splitting it into congruent isosceles triangles. Be sure to show your work!
9514 1404 393
Answer:
1) 135°
2) 0.77 units
3) 0.92 units
4) 6.12 units
5) 2.83 square units
Step-by-step explanation:
1) The exterior angle at any vertex is 360°/n, where n is the number of sides. For the octagon, the exterior angle is 360°/8 = 45°. The interior angle will be the supplement of this: 180° -45° = 135°.
The measure of each interior angle is 135°.
__
2) Each sector of the octagon is an isosceles triangle with a central angle of 45° (also 360°/8). Since the radius is 1 unit, the length of one side is twice the sine of half the central angle.
s = 2·sin(45°/2) ≈ 0.765367
The length of one side is about 0.77 units.
__
3) Similarly, the apothem is the cosine of half the central angle:
a = cos(45°/2) ≈ 0.923880
The apothem is about 0.92 units.
__
4) For an octagon, the perimeter is 8 times the length of one side.
P = 8s = 8(0.765367) ≈ 6.12293
The perimeter is about 6.12 units.
__
5) The area of one sector (isosceles triangle) is given by the formula ...
A = (1/2)bh
A = 1/2sa ≈ 1/2(0.765367)(0.923880) ≈ 0.353553
Then the area of the octagon is 8 times this:
A = 8(sector area) = 8(0.353553) ≈ 2.82843
The octagon area is about 2.83 square units.
Jeremy can run 4 miles in 30 minutes. Kyle can run 7 miles in 48 minutes.
Who is the fastest? *
WELPPPPP IMMA FAILLLLLL
Answer:
I'm pretty sure the answer is A.
Step-by-step explanation:
y = x^3 + 1 is a place in a linear graph.
Write two different congruent statements that indicate the triangles in each pair are congruent( Odd number questions only)
Answer:
Step-by-step explanation:
17) HI ≅ UH ; GH ≅ TU ; GI ≅ TH
ΔHGI ≅ ΔUTH by Side Side Side congruent
∠G ≅ ∠T ; GI ≅ TH ; ∠GIH ≅ ∠THU
ΔHGI ≅ ΔUTH by Angel Side Angle congruent
19) IJ ≅ KD ; IK ≅ KC ; KJ ≅ CD
ΔIJK ≅ ΔKDC by Side Side Side congruent
∠J ≅ ∠D ; IJ ≅ KD ; ∠I ≅ ∠DKC
ΔIJK ≅ ΔKDC by Angle Side Angle congruent
If f(x) = 3x – 7 and g(x) = x2 – 5x + 5, then f(x) = g(x) for
what values of x?
a. x = 3 and x = 4
b. X = 6 and x = 2
c. x = -6 and x = -2
d. x = -3 and x = -4
Answer:
b
Step-by-step explanation:
3x - 7 = x² - 5x + 5
x² - 5x + 5 - 3x + 7 = 0
x² - 8x + 12 = 0
(x-6)(x-2)=0
x = 6
x = 2