Answer:
0.024 represents the amount of snow that is added to the lawn every minute.
Step-by-step explanation:
Emily observed the amount of snow on her lawn during a blizzard. So, 0.024 in the equation shows the rate at which snow is coming with the number of minutes passing.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. It is clear that a statement is not even an equation if there is no "equal to" sign in it.
As per the given equation in the question,
S is the snow in inches.
x shows the time in minutes and,
0.024 is the rate along with the time at which the snow is accumulating in the lawn and 7 in the equation is the constant value.
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Can someone please help me with this
Answer:
39 sq inches
Step-by-step explanation:
Mr. and mrs. Brown bought a new kitchen table for $450. It was 75% of the original price. Determine the original price of the kitchen table.
Answer:
$600
Step-by-step explanation:
To find the original price, divide the cost by 0.75
450/0.75
= 600
So, the original price was $600
Answer: $600
Step by Step explaination:
please view attached image about angles (50 pts and brainliest)
Answer:
The value of X is 126. The angle of JML is 42
What is $45.79 multiplied by .50 equal
Answer:
686.85
Step-by-step explanation:
Answer:
$45.79 multiplied by .50 equals 22.895
PLEASE HELP
do question 8 and 9
Answer:
x=7
x=4
x=1/9
Step-by-step explanation:
For number 9 you can either type out the work or say something like:
To solve all of the problems in Question 8 I had to move all of the terms without an (x) to the right side. After I did this I divided everything by the number attached to the (x) to find the value of (x) by itself.
Answer and Step-by-step explanation:
8a.
3x + 6 = 27
Subtract 6 from both sides.
3x = 21
Divide 3 from both sides.
x = 7
8b.
6x + 3 = 27
Subtract 3 from both sides.
6x = 24
Divide 6 from both sides.
x = 4
8c.
27x + 3 = 6
Subtract 3 from both sides.
27x = 3
Divide 27 from both sides.
x = 3/27
Simplify the fraction
x = 1/9
9.
The above steps are the reasonings for the above answers.
Complete the table.
Given: GHIJ is rhombus
Prove: ∠1≅∠3
Answer:
Step-by-step explanation
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle =2×3.14×2.8 mi
circumference of circle =17.584 mi
A government agency reports that 22% of baby boys 6-8 months old in the United States weigh less than 25 pounds. A sample of 147 babies is studied. Use the TI-84 Plus calculator as needed. Round the answer to at least four decimal places. (a) Approximate the probability that more than 40 babies weigh less than 25 pounds. (b) Approximate the probability that 34 or more babies weigh less than 25 pounds. (c) Approximate the probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive. Part 1 of 3 The probability that more than 40 babies weigh less than 25 pounds is .
Answer:
a) 0.0526 = 5.26% probability that more than 40 babies weigh less than 25 pounds.
b) 0.409 = 40.9% probability that 34 or more babies weigh less than 25 pounds.
c) 0.6249 = 62.49% probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
Step-by-step explanation:
The binomial approximation to the normal is used to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
A government agency reports that 22% of baby boys 6-8 months old in the United States weigh less than 25 pounds.
This means that [tex]p = 0.22[/tex]
A sample of 147 babies is studied.
This means that [tex]n = 147[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 147*0.22 = 32.34[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{147*0.22*0.78} = 5.02[/tex]
(a) Approximate the probability that more than 40 babies weigh less than 25 pounds.
Using continuity correction, this is P(X > 40 + 0.5) = P(X > 40.5), which is 1 subtracted by the pvalue of Z when X = 40.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40.5 - 32.34}{5.02}[/tex]
[tex]Z = 1.62[/tex]
[tex]Z = 1.62[/tex] has a pvalue of 0.9474
1 - 0.9474 = 0.0526
0.0526 = 5.26% probability that more than 40 babies weigh less than 25 pounds.
(b) Approximate the probability that 34 or more babies weigh less than 25 pounds.
Using continuity correction, this is [tex]P(X \geq 34 - 0.5) = P(X \geq 33.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 33.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 32.34}{5.02}[/tex]
[tex]Z = 0.23[/tex]
[tex]Z = 0.23[/tex] has a pvalue of 0.591
1 - 0.591 = 0.409
0.409 = 40.9% probability that 34 or more babies weigh less than 25 pounds.
(c) Approximate the probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
Exclusive means that we dont count 28 and 38, so, using continuity correction, this is [tex]P(28 + 0.5 \leq X \leq 38 - 0.5) = P(28.5 \leq X \leq 37.5)[/tex], which is the pvalue of Z when X = 37.5 subtracted by the pvalue of Z when X = 28.5. So
X = 37.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37.5 - 32.34}{5.02}[/tex]
[tex]Z = 1.03[/tex]
[tex]Z = 1.03[/tex] has a pvalue of 0.8485
X = 28.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.5 - 32.34}{5.02}[/tex]
[tex]Z = -0.76[/tex]
[tex]Z = -0.76[/tex] has a pvalue of 0.2236
0.8485 - 0.2236 = 0.6249
0.6249 = 62.49% probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
help I will mark brainliest!
Answer: g
its g cause I solved it and got g
Answer:
The answer is G. Hope this helps!
In training, Kayden does
reps
where
he bench presses 65 kilograms. How
many reps does he have to do to
bench press a total of 1 metric ton?
Answer:
0.065 metric tons
Step-by-step explanation:
Given
65 kg
To find
Convert 65 kg to metric tons
Then, the answer is 0.065 metric tons
1. Measuing blood pressure is a vital process in determining a patient's immediate health
condition. If the systolic blood pressure exceeds 150mm Hg, the patient is considered to
have high blood pressure and medication may be prescribed. Assume that a patient's
systolic blood pressure reading during a given day follows a normal distribution with a
mean of 160mm Hg and a standard deviation of 20mm Hg.
(a) If 5 readings are taken at various times during the day, determine the probability that
the average blood pressure reading will be less than 150mm Hg and hence, fail to
indicate that the patient has a high blood pressure problem
(6) Determine the number of readings required so that the probability is at most 1% of
failing to detect that a patient has high blood pressure.
(20 marks)
Answer:
Step-by-step explanation:
145 mm hg
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?
4,843 divided by 44?
Answer:
110.068181818
Step-by-step explanation:
What’s the 10th term to 18,12,8,...
Answer:
0.468
Step-by-step explanation:
Hope it helps
Find the final amount of money in an account if
$
7
,
200
is deposited at
6
%
interest compounded annually and the money is left for
6
years.
Answer:
$10,213.34
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r/n)^t
Given that;
P = $7,200
rate r = 6% = 0.06
Time t = 6years
n = 1
Substitute into the formula
A = 7200(1+0.06)^6
A = 7200(1.06)^6
A = 7200(1.4185)
A = 10,213.34
Hence the final amount is $10,213.34
PLEASE EXPLAIN YOUR FREAKING ANSWER IVE BEEN DOING THIS ALL NIGHT AND NO ONE ACTUALLY HAS HELPED ITS DUE SOON PLS IM BEGGING U
Answer:
B
Step-by-step explanation:
First we find out over how many years the growth happened, from 1985 to 2020, that's 35 years.
In 1985 the club had 23,000 members, and it grew at an ave. rate of 5% each year. So, to find out 5% of 23,000 we can divide it by 100 to find 1% and then multiply by 5.
23,000 / 100 = 230 now 230 times 5 is 1150, to check our work we can multiply 1150 by 20 because it is 5% to get 100% and it is 23000 so we are on track so far. Now over the span of 35 the club grew by 1,150 each year, so, 1150 times 35 is 40,250 and if we add that to 23,000 we get 63,250. Round to the nearest thousand which would be
B. 78,000 but I may have went about solving exponential growth wrong but if this is the answer you have been getting there you go.
Select ALL the correct answers.
Which of the following statements are true about the equation below? x^2-6x+2=0
6. What is the area of he trapezoid? Help Please
Answer:
It’s G. 330 m^2
Step-by-step explanation:
The formula for a trapezoid is (a+b)/2 times h.
So a is base one and b is base two and the h is the height.
So it would be like (19+41)/2 X 11 then you would get
60/2 X 11
30 X 11 equals 330
simplify 2 1/2 times 3/4
Answer:
[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]
Answer:
15/8
Step-by-step explanation:
2.5/2 = 1.25
1.25/2 = 0.625
2.5 - 0.625 = 1.875
1.875 = 75/40 = 15/8
The population of a city is roughly 2,457,000. Of these, 6.9% are of Hispanic origin. How many residents of the city are of Hispanic origin?
Answer:
48899-&$)9 f worn city hi
If x = 81, what is the value of x(x - 6)?
A.
6,075
B.
156
C.
7,047
D.
6,642
Answer:
A
Step-by-step explanation:
Kevin
makes $78.37 per day. How much does he
make in 7 days?
Answer:
$78.37 ÷7
Step-by-step explanation
im not smart
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution
Answer:
Disagree
Step-by-step explanation:
[tex]3.67 = c - 2.13 \\ 3.67 + 2.13 = c \\5.8 0 = c[/tex]
How many Perpendicular lines does an H have
Answer:
it has two line
Step-by-step explanation:
please with the mathematics
1.)1/6
2.)1 5/10
3.)2 6/7
4.)2
5.)1 7/12
6.)2 4/5
7.)1/12
with like denominators you can just add or subtract freely just the top numerators
Answer:
1.)1/6
2.)1 5/10
3.)2 6/7
4.)2
5.)1 7/12
6.)2 4/5
7.)1/12
Step-by-step explanation:
Gordon invested $28,000 into a CD compounded quarterly with an annual interest
rate of 2.50%. Determine how much money Gordon would have after 8 years. Round
your answer to the nearest cent. Provide only a numerical answer (For example, if the
final amount came to $5,023.97, then you would input 5023.97).
Answer:
Gordon will have $ 34,178 after 8 years of investment.
Step-by-step explanation:
Given that Gordon invested $ 28,000 into a CD compounded quarterly with an annual interest rate of 2.50%, to determine how much money Gordon would have after 8 years, the following calculation must be performed:
28,000 x (1 + 0.025 / 4) ^ 8x4 = X
28,000 x (1 + 0.00625) ^ 32 = X
28,000 x 1.00625 ^ 32 = X
28,000 x 1,220 = X
34,177.997 = X
Therefore, Gordon will have $ 34,178 after 8 years of investment.
Gordon will have 3,417,799 cents in his account after 8 years
The formula for calculating the compounding amount is expressed as;
[tex]A =P(1+\frac{r}{n} )^{nt}[/tex] where:
P is the amount invested
r is the rate in decimal
t is the time taken
n is the compounding time
Given the following
P = $28,000
r = 2.50% = 0.025
t = 8 years
n = 4
Substitute the given parameters into the formula to have;
[tex]A =28,000(1+\frac{0.025}{4} )^{4(8)}\\A=28,000(1+0.00625)^{32}\\A=28,000(1.00625)^{32}\\A=28,000(1.2206)\\A=$34,177.99[/tex]
Hence Gordon will have 3,417,799 cents in his account after 8 years
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A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
Answer:
The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Step-by-step explanation:
Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:
100 x 0.9 + 0 x 0.4 = 90
90 x 0.9 + 10 x 0.4 = 85
80 x 0.9 + 20 x 0.4 = 80
50 x 0.8 = 40
Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?
It says 120 is wrong :(
9514 1404 393
Answer:
7 hours
Step-by-step explanation:
They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.
(105 km)/(15 km/h) = 7 h
Answer:
7 hours
Step-by-step explanation:
They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.
(105 km)/(15 km/h) = 7 h
A 50 foot ladder is set against the side of a house so that it reaches up 40 feet. If Aisha grabs the ladder at its base and pulls it 9 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 31 ft.) Round to the nearest tenth of a foot.
Answer: ~31.3
first use the pythagorean theorem. a^2+(40)^2=50^2.
simply. a+1600=2500. subtract 1600 from both sides. a^2=900.
square root both sides to get a= 30
then find how far the top of the ladder is from the ground once in its new position.
a^2+(39)^2=50^2.
simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.
square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3
Answer:
Step-by-step explanation: iT'S 31.3
Karen purchased a used vehicle that depreciates under a straight-line
method. The initial value of the car is $4000, and the salvage value is $400. If
the car is expected to have a useful life of another 6 years, how much will it
depreciate each year?
Answer:
2400
Step-by-step explanation:
because it goes down 400 each year
Karen expects the vehicle to depreciate by 600 each year.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Now, It is expected to depreciate from 4000 to 400 in 6 years.
Hence, The depreciation per year is the ratio is,
⇒ Depreciation per year = (Total depreciation) / (Number of years)
Hence, The total depreciation is the change in value, so the depreciation per year is
⇒ (4000 - 400)/6
= 3600 / 6
= 600
Thus, Karen expects the vehicle to depreciate by 600 each year.
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