Answer:
0.884
Step-by-step explanation:
just use a calculator
Jenna is buying four new shirts at $20 each. Which of the following is NOT a way to write a calculation for how much money Jenna is spending?
20 times 4 = 80
20/4 = 80
4 times 20 = 80
20 + 20 + 20 + 20 =80
Answer:
20/4
Step-by-step explanation:
Because that would mean 20 divided by 4 which wouldn't accumulate to 80
Starting at a train station, Train A goes toward its destination to the right by 600
miles, and Train B goes to the left by 500 miles. Which of the following signed
numbers best represents Train A's direction and distance toward its destination?
A.-600
B.-500
C.500
D.600
9514 1404 393
Answer:
D. 600
Step-by-step explanation:
On a number line, positive numbers increase to the right. 600 to the right would be considered to be +600, choice D.
A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowing in at 4 liters per minute. The solution is mixed well and drained at 4 liters per minute. Let xx be the amount of salt, in grams, in the fish tank after tt minutes have elapsed. Find a formula for the rate of change in the amount of salt, dx/dtdx/dt, in terms of the amount of salt in the solution xx and the unknown concentration of incoming brine cc. dxdt
Answer:
dx/dt = 4c - 4x/15
Step-by-step explanation:
a. Find a formula for the rate of change in the amount of salt, dx/dtdx/dt, in terms of the amount of salt in the solution
Let c be the concentration of the incoming brine in grams per liter. Since it flows in at a rate of 4 liters per minute, the mass flow in is thus 4m.
Let x be the mass of salt present at time, t. The concentration of salt present at time, t is thus mass of salt/volume of tank = x/15. Since the well mixed solution is drained at 4 liters per minute, the mass flow out is thus 4x/15.
The net rate of change of amount of salt dx/dt = mass flow in - mass flow out
dx/dt = 4c - 4x/15
The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75 beats per minute. Let x be a random variable that represents the resting heart rate for an adult horse. Assume that x has a distribution that is approximately normal.
Required:
a. What is the probability that the heart rate is less than 25 beats per minute?
b. What is the probability that the heart rate is greater than 60 beats per minute?
c. What is the probability that the heart rate is between 25 and 60 beats per minute?
Answer:
a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.
b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.
c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
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:
[tex]\mu = 47[/tex]
(95% of data) range from 19 to 75 beats per minute.
This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So
[tex]4\sigma = 75 - 19[/tex]
[tex]4\sigma = 56[/tex]
[tex]\sigma = \frac{56}{4} = 14[/tex]
a. What is the probability that the heart rate is less than 25 beats per minute?
This is the p-value of Z when X = 25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 47}{14}[/tex]
[tex]Z = -1.57[/tex]
[tex]Z = -1.57[/tex] has a p-value of 0.0582.
0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.
b. What is the probability that the heart rate is greater than 60 beats per minute?
This is 1 subtracted by the p-value of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 47}{14}[/tex]
[tex]Z = 0.93[/tex]
[tex]Z = 0.93[/tex] has a p-value of 0.8238.
1 - 0.8238 = 0.1762
0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.
c. What is the probability that the heart rate is between 25 and 60 beats per minute?
This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So
0.8238 - 0.0582 = 0.7656
0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute
If these two triangles are similar, find the vale of x.
Answer:
24
Step-by-step explanation:
just use sss theorem and get the answer
If you deposit ₱10,000 into an account that earns 5% annual interest compounded semiannually, how long will it take until there is ₱12,000 in the bank account
Answer:
t = 3.69 ≈ 3. 7 years
Step-by-step explanation:
Given :
P = 10,000
r = 5%= 0.05
A = 12,000
n = 2 ( because it is compounded semi - annually )
[tex]A = P (1 + \frac{r}{n})^{nt}\\[/tex]
[tex]12000 = 10000(1 + \frac{0.05}{2})^{2 t}\\\\1.2 = ( 1 + \frac{0.05}{2})^{2t}\\\\1.2 = (1.025)^{2t}\\\\log \ 1.2 = 2t \ log \ 1.025\\\\2t = \frac{log 1.2 }{log 1.025} \\\\2t = \frac{0.1823}{0.0247}\\\\2t = 7.3805\\\\t = 3.69[/tex]
Urelia made a deposit to her checking account. She had $104.00 in currency: $7.64 in coins; and checks for $83.29, $257.77, $1,332.68, and $3,984.05. What
was her total deposit?
$5,769.43
$6,126.43
$5.985.43
$6,432.43
None of these choices are correct.
Answer: $5,769.43
Step-by-step explanation:
For us to get the value of the total deposit, we have to add all the deposits together whether they're cash deposits or check deposit. This will be:
= $104.00 + $7.64 + $83.29 + $257.77, $1,332.68 + $3,984.05
= $5,769.43
Therefore, the total deposit is $5,769.43
someone can help me with this?
Answer:
3q + 2p =
Step-by-step explanation:
Perimeter refers to the outside lines only so hence, 3q + 2p =
What is the range of f(x) = 3X?
O A. All real numbers greater than 3
O B. All real numbers greater than or equal to 3
O C. All positive real numbers
O D. All real numbers
if 4,1,2 in middle is 21
if 2,1,4 in middle is 16
then 1,4,2 what is number in middle?
Answer:
5
Step-by-step explanation:
21-16=5
hope it helps!!
is this an Olympiad qn?
How many one-to-one correspondences are there between two sets with
6 elements each?
Answer:
6 * 5 * 4 * 3 * 2 * 1, i.e. 6! or 720. Of course, since both sets have the same number of elements, you can't have one-to-one without being onto, aka a surjection, so “one to one correspondence” is the right term (or bijection—merci, M.
Step-by-step explanation:
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A survey found that one out of five Americans says he or she has visited a doctor in any given month. If 10 people are selected at random, find the probability that at least 3 will
have visited a doctor last month.
Find N(4) for the function, N(u)=4.
Answer:
D is your answer.
Step-by-step explanation:
hope you get it right.
⭐❤
What is 2 3 of 99kg?
Step-by-step explanation:
[tex] \frac{2}{3} \times \frac{99}{1} = 66 \: kg[/tex]
the sum of two consecutive numbers is 2x+3. What are the numbers
Answer: 2 and 3
Step-by-step explanation:
its numbers
At Marco’s school, 5/8 of the students are in the band. What percent of the students are in the band?
shirly spelled 12 0f her 15 spelling words correctly on the test what percent grade did she get on the test
Answer:
80%
Step-by-step explanation:
Because Shirly spelled 12 out 15 correctly, she got a 12/15, which is equal to 4/5 or 80%
You buy 4 pencils at $0.30 each. You receive $0.80 back in change. How much money did you give
the cashier?
Total cost of the pencils is the number of pencils x the price per pencil:
4 x 0.30 = $1.20
Now add what you got back for change:
1.20 + 0.80 = 2.00
You gave the cashier $2.00
Which ordered pair is a solution to the system of inequalities graphed here?
A. (1-2)
B. (-3,3)
C. (-2, 6)
D. (1.4)
Answer:
A. (1-2)
Step-by-step explanation:
I got it right on the exam
Select all the expressions that are equivalent to 4x + 2.
A. 8x +4
B. 1/2(8x + 4)
C. 1/2(2x +1)
D. 2 (2x + 1)
E. 2x + 2x +1 + 1
.
Given g(x)=-x+4, find g(-4)
Answer:
g(-4) = 8
Step-by-step explanation:
g(-4) = - ( - 4 ) + 4
= 8
If this helps you, please give brainliest!
Find the volume of a sphere with a diameter of 4 inches. Use 3.14 for π
.
Round your answer to the nearest hundredth.
The volume of the sphere is cubic inches.
Answer:
33.51 cubic inches
Step-by-step explanation:
Formula for volume of a sphere is V= 4 /3 · π · r3
We know the diameter is 4, and the radius is half the diameter, so the radius is 2.
V = 4 /3 · π · [tex]2^{3}[/tex]
≈ 33. 51032
Rounded to the nearest hundreth is 33.51.
pls help me i will mark brainliest if you are right !
Answer:
second option
Step-by-step explanation:
diameter= 22 cm
radius = diameter/2
=22/2
11 cm
volume of a sphere = [tex]\frac{4}{3}*pie* r^3[/tex]
=[tex]\frac{4}{3} * 3.14 *11^3[/tex]
=4.186666 * 1331
=5572 . 5 cubic centimeters (cm^3)
Multiply the following complex numbers (7 + 2i)(2+3i) O A. 20-25i B. 8-25i O C. 8+ 25i O D. 20-25i
Đáp án là C: 8+25i nhé
8+ 25i
Answer:
C. 8+25i
Just took it, it's correct :)
Find the value of x in the given figure using properties of parallel lines.
Answer:
x =42
Step-by-step explanation:
x and 138 are same side interior angles. Same side interior angles are supplementary when the lines are parallel
x+138 = 180
x = 180-138
x =42
Answer:
42°
Step-by-step explanation:
138° + x = 180°
180° - 138° = 42°
Use the grouping method to factor this polynomial.
x3 + 2x2 +7x+14
ANSWER ASAP!
ANSWER:-
(x²+7)(x+2)
hope it helps
have a nice day
A line contains the points (2,4) and (−6,−2).
Which equation represents the line?
a. y+2=4/3(x+6)
b. y−2=3/4(x−6)
c. y−2=4/3(x−4)
d. y−4=3/4(x−2)
Answer:
D) y-4=3/4(x-2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-4)/(-6-2)
m=-6/-8
simplify
m=3/4
y-y1=m(x-x1)
y-4=3/4(x-2)
What are the characteristics of a density curve? Select all that apply.
A. The total area under the curve is always 1.
B. The area between any two points is always 0.5.
C. The curve always falls on or above the horizontal axis.
D. The percentage of values between any two points is the area of the figure
formed by the curve and the x-axis.
Answer:
b
Step-by-step explanation:
From the characteristics of a density curve, option (A), (C), (D) are the correct answers.
What is a density curve?A density curve is a graph that shows probability. It is an idealized representation of a distribution in which the area under the curve is defined to be 1.The area under the curve is equal to 100 percent of all probabilities.
For the given situation,
Properties of density curves
• A density curve is always on or above the horizontal axis.
• The area underneath a density curve is exactly 1.
• The area under a density curve and above any range of values is the
relative frequency of all observations that fall in that range.
Hence we can conclude that from the characteristics of a density curve, option (A), (C), (D) are the correct answers.
Learn more about density curve here
https://brainly.com/question/18345488
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I need help with this
What is the measure of E, in degrees?
5
48°
F
Answer:
A) 84°
Step-by-step explanation:
Since ED=EF=5
then F=D=48°
Then E=180°-48°-48°=84°