Answer:
4%
Step-by-step explanation:
For simple interest, the equation is I = PRT, where I is the interest, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is time in years.
641.28 = (4008)(r)(4)
641.28 = 16,032r
r = 0.04 = 4%
8th grade math, please help.
I’ll give you brainliest if you want.
-Find the volume-
Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.
Only answer if sure
Answer:
second option.
Step-by-step explanation:
mark me as brainliest plz
A garden has the shape of an ellipse. Review the table of values that shows several points on the fence of the garden. The positive y-axis represents due north.
x
(in feet)
y
(in feet)
–144
0
0
150
144
0
0
–150
The gardener wants to place a scarecrow at one of the foci. Which phrase describes a possible location of the scarecrow relative to the center of the garden?
approximately 6 ft west of the center
approximately 42 ft east of the center
approximately 6 ft south of the center
approximately 42 ft north of the center
Answer:
D-42ft North of Center
Step-by-step explanation:
100 on quiz Edge 2021
Answer:
D
Step-by-step explanation:
15 Points, please give full equation on how you answer.
The volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
What is the measure of x? Please help!
Answer:
x =√[y²+(27)²] = √[ z² - 3² +(27)²]
Step-by-step explanation:
step 1) x=√[y²+(27)²]
step 2)
We find y
z²=y²+3² → y² = z² - 3²
step 3) x = √[ z² - 3² +(27)²]
Triangle ABC has vertices A (6, 1), B (1,7), and C (-3, -2). The translation to create triangle A'B'C' is (x, y) + (x-1, y +2).
Which of the following will be the coordinates of the vertices of triangle A'B'C?
A (5,2), (0, -4), (0,9)
B (5,3), (0, -4), (0,8)
C (5,3), (0,9), (-4,0)
D (5,2), (1, -3), (0,9)
Answer:
I think C is the answer
Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b. (Remember that all the way around a circle is 360°. Start by finding the measure of angle a in the figure on the left.)
Answer:
hope it helps
Step-by-step explanation:
have a great day
6. If a person adopts a pet, it's either a cat or a dog. 25% of the time, it's a cat and 75% of the time, it's a dog. If you meet someone at the shelter that adopted three pets, what's the probability that they got either: three cats or three dogs? Show your calculation and give your single answer as a decimal.
Answer:
0.0156 probability that they got three cats.
0.4219 probability that they got three dogs.
Step-by-step explanation:
For each person there are only two possible outcomes. Either they adopted a dog, or a cat. The probability of a person adopting a cat or a dog is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Three people:
This means that [tex]n = 3[/tex]
What's the probability that they got three cats?
25% of the time it's a cat adopted, which means that [tex]p = 0.25[/tex]
This is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156[/tex]
0.0156 probability that they got three cats.
What's the probability that they got three dogs?
75% of the time it's a dog adopted, which means that [tex]p = 0.75[/tex]
This is P(X = 3). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219[/tex]
0.4219 probability that they got three dogs.
Gold is mined at Cortez Gold Mine in Nevada. For every ton of raw material dug out of the ground, you get one ounce of gold. Each truck hauls 394 tons, and each day, there are 1000 trucks that haul material out of the ground. Assuming the current price of gold to be $1,607 per ounce. How much money is made each day at Cortez Gold Mine
Answer:
[tex]\$633158000[/tex]
Step-by-step explanation:
[tex]1\ \text{ton of raw material}=1\ \text{ounce of gold}[/tex]
1 truck hauls 394 ton of raw material
[tex]1\ \text{truck}=394\ \text{ton of raw material}=394\ \text{ounce of gold}[/tex]
There are 1000 trucks so
[tex]1000\ \text{trucks}=394\times 1000=394000\ \text{ounce of gold}[/tex]
1 ounce of gold cost $1607
[tex]394000\ \text{ounce of gold}=394000\times 1607=\$633158000[/tex]
The amount of money made each day at Cortez Gold Mine is [tex]\$633158000[/tex].
Please help due soon.
Answer:
He should give his sister 41.50 dollars.
Step-by-step explanation:
Cup G has a diameter of 4 in. and a height of 8 in. Find the volume of Cup G.
Answer:
32pi
Radius=1/2 Diameter
radius=2
Area of circle= pi*radius^2= 4pi
4pi*8=32 pi
Calculator
13 in
94
7.5 in.
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest tenth.
Answer:
9165.0
Step-by-step explanation:
13*94*7.5 = 9165.0
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $440 and standard deviation $10. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$456.45 should be budgeted.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $440 and standard deviation $10.
This means that [tex]\mu = 440, \sigma = 10[/tex]
How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?
This is x for which
P(X > x) = 0.05
So this is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 440}{10}[/tex]
[tex]X - 440 = 10*1.645[/tex]
[tex]X = 456.45[/tex]
$456.45 should be budgeted.
A certain company sends 50% of its overnight mail parcels via express mail service E1. Of these parcels, 1% arrive after the guaranteed delivery time (denote the event late delivery by L). Suppose that 10% of the overnight parcels are sent via express mail service E2 and the remaining 40% are sent via E3. Of those sent via E2 on 2% arrive late, whereas 5% of the parcels handled by E3 arrive late.
A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?
B. What is the probability that a randomly selected parcel arrived late?
C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?
Answer:
A. 0.005 = 0.5% probability that the parcel went via El and was late
B. 0.027 = 2.7% probability that a randomly selected parcel arrived late.
C. 0.8148 = 81.48% probability that is was not sent via E1
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?
50% are chosen via E1, and of those, 1% were late. So
[tex]p = 0.5*0.01 = 0.005[/tex]
0.005 = 0.5% probability that the parcel went via El and was late
B. What is the probability that a randomly selected parcel arrived late?
1% of 50%(via E1)
2% of 10%(via E2)
5% of 40%(via E3).
So
[tex]p = 0.01*0.5 + 0.02*0.1 + 0.05*0.4 = 0.027[/tex]
0.027 = 2.7% probability that a randomly selected parcel arrived late.
C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?
Conditional Probability.
Event A: Late
Event B: Not sent via E1
0.027 = 2.7% probability that a randomly selected parcel arrived late, which means that [tex]P(A) = 0.027[/tex]
Late and not sent via E1:
2% of 10%(via E2)
5% of 40%(via E3).
So
[tex]P(A \cap B) = 0.02*0.1 + 0.05*0.4 = 0.022[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.022}{0.027} = 0.8148[/tex]
0.8148 = 81.48% probability that is was not sent via E1
The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point
O (-2,0)
O (-2, 0.25)
O (2, 0.25)
O (2,0)
Answer:
[tex](-2,\, 0)[/tex].
Step-by-step explanation:
Dilate a point [tex](x,\, y)[/tex] by a scale factor of [tex]r[/tex] with [tex](a,\, b)[/tex] as the center, and the resultant point would be at [tex](a + r\, (x - a),\, b + r\, (y - a))[/tex].
In this question:
Point to dilate: [tex](x,\, y) = (-8,\, 0)[/tex].
Scale factor: [tex]r = 0.25[/tex].
Center of dilation: [tex](a,\, b) = (0,\, 0)[/tex].
The resultant point would be:
[tex](0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0))[/tex], which simplifies to [tex](-2,\, 0)[/tex].
Rotation 180° about the origin
Answer:
Step-by-step explanation:
to rotate about origin by 180 ° also means to change ( x, y) ⇔( -x,-y)
the double arrows just mean to change into.. or "transform" ( I think that there might have even been a movie about this, called "transformers" :D JK)
T=( -2, 1)
S = ( -4, 3)
R = ( -5, -2)
use the transform ( x, y) ⇔( -x,-y)
T' = (2,-1)
S' = ( 4, -3 )
R' = (5 , 2 )
if you draw this on a piece of graph paper, you'll see it's the triangle spun 180 ° around the origin :)
Question 8 I don’t get
Answer:
Y=4x
Y is total profita
X is how many she sells
A soccer ball on the ground is kicked with an initial velocity of 37 feet per second at an elevation angle of 70°. Which
parametric equations represent the path of the soccer ball?
Answer:
A: X(t)=37cos(70)t and y(t)=-16t^2+37sin(70)t
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
Determine the scientific notation for the number.
124,900,000,000
Answer: 1.249 × 10^11
Step-by-step explanation:
I need help what's the answer anyone?
Answer:
B
Step-by-step explanation:
In ABC, what is the value of x?
Answer:
122 po nya ta
Step-by-step explanation:
sana po makatulong
Answer:
70
Step-by-step explanation:
I got it wrong and this is what showed up
i need help with this one
Answer:
I
Step-by-step explanation:
There are 8 fish tanks in the pet shop. They just
received an order of 216 goldfish. The owner of the
pet shop wants each tank to have the same number
of fish. How many goldfish will each tank have
in it?
Answer:
27
Step-by-step explanation:
216/8=27
hope it helps
Answer:
27
Step-by-step explanation:
what is the key idea of this passage
8th grade math, explain if you can please.
Answer:
I'm pretty sure that the answer is 1.76?
Step-by-step explanation:
The formula is this tho:
V=πr^2h
-8x + y = -16
-3x + y = -5
Answer:
x= 11/3
y= 6
Step-by-step explanation:
-8x+y=-16
-3x+y = - 5
Multiply the second equation by -1, we get,
-8x + y = -16
3x -y = 5
--------------------
-3x = -11
x= 11/3
x=11/3. so,
-3×11/3 +y = -5
-11+y=-5
y= -5+11
y=6
What type of transformation
has this figure made
Answer:
translation
Step-by-step explanation:
a rotation would make it horizontal which it is not
reflection would flip it its not fliped.
There for its translation
hope this helps
can anyone help me with #1?
Answer:
x = 16.1 in
Step-by-step explanation:
Using sin law
sin44 / x = sin98/ 23in
x = 16.1 in (nearest tenth)
The answer to a please
Answer:
d+r < 15
Step-by-step explanation:
d plus r represents all the fish and it all has to be less than 15 as said in the problem