if you deposit $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?
500 divided by 3 is 15. 15 times 5 is $75
What is the slope of the line
Answer:
b
Step-by-step explanation:
the slope is 7 bc of y=mx+b. m is the slope
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug
Answer:
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
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.
In this question:
Event A: Not a user of an illegal drug.
Event B: Tests negative.
The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)
This means that [tex]P(B|A) = 0.9[/tex]
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.
So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]
What is the probability that an athlete tests negative and is not a user of an illegal drug
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Find the unit rate for 6 and 2/5 cookies in 4 minutes
Answer:
Step-by-step explanation:
6 2/5 cookies in 4 mins
To find the unit rate in minutes, divide 6 2/5 and 4 by 4.
In one minute is 1.6 cookies.
To find the unit rate in cookies, we divide by 6 2/5.
For one cookie, there are 5/8 minutes.
What is the total area? Use 3 for Pi.
answer fast pls! xx
Answer:
146.3m²
Step-by-step explanation:
area of quarter circle=1/4π×8²
=50.3m²
area of the square=s²
8×8=64m²
area of the triangle=1/2bh
1/2×8×8=32m²
total area=50.3+64+32=146.3m²
combine like terms to make a simple Hi, equivalent expression: 14-3+8x+7x
Answer:
11+15x
Step-by-step explanation:
combine 14 - 3 and 8x + 7x = 11 + 15x
help loll i’m confused
11. Silvaro borrowed $89.40 from his brother. He determines that he can pay him back
in six weeks. What effect will Silvaro's repayment have on his weekly bank account?
Answer: 14.90$ weekly deduction
Step-by-step explanation:
Answer:
$14.9 deduction
Step-by-step explanation:
Silvaro borrowed $89.40 from hsi brother
Silvaro decided that he will pay him back the money in six months of allowance.
Therefore the effect of the payment in his bank account can be calculated as follows.
= $89.40/6
= $14.9
Hence the payment will have a deduction of $14.9 from his monthly bank account
Hope it helps and if it does mark me brainliest.
I need help thank you
Answer:
Maybe three
Step-by-step explanation:
Im not sure
please help meeeeeeeeeee
Answer:
check explanation for answers
Step-by-step explanation:
ratios are pretty much just simplified fractions
so just turn the numbers into a fraction and simplify them!
trumpets/violins are 5:3
flutes/clarinets are 17:13
trombones/trumpets are 2:5
violins/total instruments are 12:85
Select all the logarithmic expressions that have been evaluated correctly, to the nearest thousandth.
The logarithmic expressions are log6 with base 3 and log5 with base 4.
What is logarithmic function?
It is the inverse of the exponential functions. It is equal to y=㏒x.
How to solve logarithmic functions?
A) log 8 with base 3=log8/log3=0.903089987/0.4771212547=1.8927
B) log 6 with base 3=log6/log3= 0.77815125038/0.4771212547=1.6309
C) log 5 with base 4=log5/log4=0.69897000433/0.60205999132=1.1609
D) log 32 with base 2=log32/log2=1.50514997832/0.30102999566=5
E) log 7 with base 4=log 7/ log 4=
=0.84509804001/0.60205999132=1.403
Hence the required logarithmic expressions be on B and C.
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Define/explain the Pythagorean theorem.
Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Step-by-step explanation:
Answer:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
I need help bad!!!!!!! Question: Angle ABC and angle DEF are supplementary. If
Answer:
Angle ABC and angle DEF are supplementary if and only if they add up to 180 degrees
(GIVING BRAINLIYEST)
im in 6th grade so please write it simple
8. what is the volume of these 5 objects
Answer:
1,a. 224in
b. 240in
2,144ft
3,it is kind of hard I well try it on common if I can
Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many miles did she drive altogether?
Answer: 18.15 miles
Step-by-step explanation:
5. If the ratio of boys to girls in a student's class is 5 to 7, what fraction of the class is boys?
What fraction is girls?
Answer:
Boys ratio- 5/12 girls ratio 7/12 dont think you can simplify
Step-by-step explanation:
Answer:
5 = Boys 7 = Girls
Step-by-step explanation:
Boys:Girls = 5:7. I hope this helps :)
How many different ways can teams of four members be formed from a
class of 20 students?
A) 5
B) 80
C) 4,845
D) 116,280
Answer:
20C4=4845
Step-by-step explanation:
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.
The explicit rule for the geometric sequence is:
Answer:
nth term = 1000×1.2ⁿ⁻¹
Step-by-step explanation:
The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,
Therefore,
a₄ = 1728 and a₂ = 1200
We have two terms of the GP, therefore, finding r,
r² = 1728 / 1200 = 1.44
r = 1.2
Therefore,
a₁ = a₂r¹⁻²
= 1200r⁻¹ = 1200/r
= 1200 / 1.2 = 1000
Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
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Help? I cannot get my head around it.
Answer:
60cm³
Step-by-step explanation:
What is the quotient of 6.16 divided
by 1.1?
Answer:
5.6
Step-by-step explanation:
3
Which is the best estimate for the percent equivalent to 3/8
000
26%
27%
37%
38%
The Answer is C
Also 37%
у= 4х + 3
у = -X - 2
Answer:
x = - 1
Step-by-step explanation:
y = 4x + 3
y = -x - 2
Find x:
4x + 3 = -x - 2
5x + 3 = - 2 (Adding x to both sides)
5x = - 5 (Subtracting 3 from both sides)
x = -1 (Dividing 5 from both sides)
Answer: x = - 1
Please help don’t guess pick answer in the bottom please I’m begging you I need this grade!!! 40pts!!!
Answer:
1) x/4 < 4 ⇒ x < 4*4 ⇒ x< 16
x = 4, 8, 122) x + 3 ≥ 15 ⇒ x ≥ 12
x = 123) 19 > x + 4 ⇒ 15 > x ⇒ x < 15
x = 4, 144) 12 ≥ 6x ⇒ 2 ≥ x ⇒ x ≤ 2
x = 1, 25) 7x ≤ 21 ⇒ x ≤ 3
x = 1, 2, 36) 5 + x < 7 ⇒ x< 2
x = 17) x - 5 < 17 ⇒ x < 22
x = 9, 14, 158) 3x ≥ 18 ⇒ x ≥ 6
x = 6, 119) 20 > x + 9 ⇒ 11 > x ⇒ x < 11
x = 4, 8It is not possible to divide 5 by 0 because there is no number you can___ by 0 and get 5 .
Answer:
multiply
Step-by-step explanation:
Answer:
Yes, it's not possible to divide a number by 0.
Simplify: 299.081+59.26-95.32-365.195
1/2x -5-1/3y when x =48 and y=15
PLEASE HELPP! WORTH 21 POINTS AND I WILL MARK BRAINLIEST!!!
Answer:
8 pizz an chick 6
Step-by-step explanation:
Rick owns a farm, which produces many different crops, including corn. The table shows the relationship between the number of
acres, a, and the bushels of corn, c, the farm produces
Which equation models the relationship between the independent and dependent variables?
A) a=45c
B) c=45a
C) a=45+c
D) c=45+a
Answer:
i need the answer too
Step-by-step explanation:
If brownies are $1.80 each how much is that for 10 brownies
Answer:
18 just move the decimal because there is one zero
What is the fraction equivalent of 2.151515?
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
Find: 1. three quartiles and 2. interquartile range (IQR).
1, 3, 9, 12, 12, 14, 18
The position of Q1 is the 2th number. Q1 is 3.
The position of Q2 is the 4th number. Q1 is 12.
The position of Q3 is the 6th number. Q1 is 14.
IQR is 11.
What are the required values?The first quartile, second quartile and the interquartile range are used to measure the variation of data. Median is a measure of central tendency. Median is the number at the center of the dataset.
Q1 = 1/4 x (n + 1)
1/4 x 8 = 2nd number = 3
Q2 = 1/2 x (n + 1)
1/2 x 8 = 4th number = 12
Q3 = 3/4 x (n + 1)
3/4 x 8 = 6th number = 14
IQR = Q3 - Q1
14 - 3 = 11
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