Answer:
5 ml
Step-by-step explanation:
Given:
100 mg of medication per 20 ml of liquid25 mg of medication needed by patientLet x = amount of liquid needed in ml
To find the value of x, set up a ratio of medication to liquid:
⇒ 100 mg : 20 ml = 25 mg : x ml
⇒ 100/20 = 25/x
⇒ 5 = 25/x
⇒ 5x = 25
⇒ 5x ÷ 5 = 25 ÷ 5
⇒ x = 5
Therefore, the correct dose is 5 ml
Another middle school conducted the same type of fundraiser as the
middle school in the Problems. The banner below shows the goals
for each grade.
Fundraising Goals
$300 for 8th grade
$120 for 5th grade
$180 for 6th grade
$240 for 7th grade
Write three statements that the principal could make when
comparing the goals each grade has set.
Answer
when comparing he might make the statement saying lets try to get to 5th grade goal so we can at least meet 1
Step-by-step explanation:
Which set of numbers could be the length of the sides of a triangle?
{6, 9, 15}
{3, 3 ,7}
{6, 9, 12}
{1, 2, 3}
Answer:
the answer would be 3,3,7
Step-by-step explanation:
because to of the sides will be the same and one will be different
Answer:
Step-by-step explanation:
{3,3,7}
A study conducted to assist the impact of caffeine consumption, smoking, alchohol consumption, and physical activity on cardiovascular disease. Suppose that 40% of participants consume caffeine and smoke. If 8 participants are evaluated what is the probability that: A. Exactly half of them consume caffene and they smoke?
Answer:
8.4
Step-by-step explanation:
A vector U has initial point (-3,-2) and terminal point (-6,1) .
Write U in component form.
Answer:
<-3,3>
Step-by-step explanation:
The running event is 3.1 miles long. Supposed it takes you 8 minutes to run a mile. What this time allow you to reach your goal? Explain your reasoning. At 8 minutes per mile, it would take you 10 minutes to run 3.1 miles. You cannot meet your goal because your total running time added to your swimming and biking times is less than 100 minutes
The time it would take you to run 3.1 miles given the time it takes you to run a mile is 24 minutes 48 seconds.
Wha is multiplication?
Multiplication is a mathematical operation that is used to determine the product of a number. The sign used to represent multiplication is ×.
How long would it take you to run 3.1 miles?In order to determine the time, multiply 3.1 miles by 8 minutes
3.1 x 8 = 24.8 = 24 minutes 48 seconds.
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Jenny made 3 out of every 4 free throws she took. If she took 48 free throws, how many did she make?
Answer:
36 throws
Step-by-step explanation:
Well, here we go.
Jenny made 3/4 of the tosses.
Now, we need to know what is 3/4 of 48.
Did that word "of" trigger something?
If someone says "of" it automatically means multiplication.
Back to the question, though.
Since it's 3/4 of 48, we need to multiply 3/4 x 48
Let's do it!
\(\frac{3}{4}\) × \(\frac{48}{1}\)
You cancel out 4 and 48, making the equation simplified.
\(\frac{3}{1}\) × \(\frac{12}{1}\) = \(\frac{36}{1}\)
Alright! Almost done.
\(\frac{36}{1}\) is also equal to 36, and that's our answer.
Determine whether the statement is true or false. If false, give a counterexample.
The constant of proportionality in an equation can never be 0.
Answer:
Step-by-step explanation:
A sample is taken from all teen drivers at a high school. They are given a
survey that includes the question, "Do you ever engage in the illegal activity of
texting while driving?" What is this an example of?
OA. Nonselection bias
OB. Nonresponse bias
C. Selection bias
OD. Response bias
The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C
How to determine what type of exampleSelection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.
In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.
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Which number sentence matches the question below?
For how many days did Curtis practice juggling, if he practiced for 87 hours in all and for 3 hours each day?
A.
n ÷ 87 = 3
B.
3 ÷ n = 87
C.
87 ÷ n = 3
D.
n ÷ 3 = 87
The equation which represent number of days is 87 ÷ n = 3
What is Division?It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Here,
total hour practicing = 87 hours
Daily hours for practicing = 3 hours
total number of days = n days
Now, according to question;
n X 3 = 87
87 ÷ n = 3
Thus, the equation which represent number of days is 87 ÷ n = 3.
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29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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0.4 is one tenth of what number
Answer:
.4 is in the 10th place in a number so .4 is one tenth of 1
The given decimal is equivalent to the one tenth of 4.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given number in decimal form is 0.4.
In order to convert it in fraction, it can be written in the form of p/q as follows,
0.4 = 0.4/1
Multiply the numerator and denominator by 10 to obtain,
(0.4 × 10)/(1 × 10) = 4/10
Hence, the given number is one tenth of 4.
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In a large University, the average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected. a) Determine the standard error of the mean. b) What is the probability that the sample mean will be larger than 19.5
Answer:
-0.5
Step-by-step explanation:
σM=σ/√N
=9/√36
=9/6
=3/2=1.5
Z=(x-μ)/σ/√N
=(19.5-24)/9/√36
=-4.5/1.5=-3
The probability that the sample mean will be larger than 19.5 = -0.5
P(>19.5)=P(Z>-3)= -0.5
Which number is less than it’s square?
9/10
12/11
15/16
13/13
The number which is lesser than its square is 12/11
What is a square number ?When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5.
The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.
The numbers are
9/10 , 12/11 , 15/16 and 13/13
The squares are
81/100, 144,121, 225/256, 1
here
81/100 < 9/10 abd
225/256 < 15/16
144/121 > 12/11
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WILL GIVE BRAINLIEST FOR RIGHT ANSWER!!
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 33 liters per minute. There are 500 liters in the pond to start.
Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added.
1. Write an equation relating W to T.
2. Then use this equation to find the total amount of water after 14 minutes.
Answers:
The equation is W = 33T + 500After 14 minutes, there are 962 liters of water.=======================================================
Explanation:
T = number of minutes33T = amount of added water in liters, since we're adding 33 liters per min.33T+500 = adding on the initial 500 litersThis leads to the equation W = 33T + 500
------------------------
Plug in T = 14
W = 33T + 500
W = 33*14 + 500
W = 462 + 500
W = 962 liters of water are in the pond after 14 minutes
Cats in a neighborhood of 72 families,18 families own one or more cats write the number of families who own one or more cats as a fraction. Then write the fraction as a decimal.
Answer:
821.0
Step-by-step explanation:
Unit seven geometry and measurement homework to perimeter area of rectangles and parallelograms answer key
The required maximum area of the rectangle is 17.5m
How to explain the perimeterThe perimeter of a rectangle is = 70m.
We have to find The maximum area of rectangle .
A rectangle will have the maximum possible area for a given perimeter when all the sides are the same length. Since every rectangle has four sides, if you know the perimeter, divide it by four.
Maximum area of rectangle is = 70 / 4
= 17.5
The required value of maximum area of the rectangle is 17.5m.
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the perimeter of a rectangle is 70m. What are the dimensions that will produce the maximum area of such a rectangle
y=mx+b example; y=mx+b calculator; writing linear equations in slope-intercept form answer key; write equation in slope intercept form calculator; standard form equation; slope-intercept form examples; point slope form calculator; how to find the y-intercept
1) The Point-Slope Formula (y – y1) = m(x – x1)
2) The Slope-Intercept Formula y = mx + b
linear equations in slope-intercept :
To determine the equation of a line, you may use two variations of the general form of a line.
These formulas are:
1) The Point-Slope Formula (y – y1) = m(x – x1)
2) The Slope-Intercept Formula y = mx + b
standard form equationThe standard form of a linear equation, also known as the “general form“, is:
ax+by=c
The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.
A few notes on Standard Form:
The a term must be a positive integera ,b, and cc cannot be decimals or fractionshow to find the y-interceptLet us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x
3y-5x=30
3y-5(0)=30
3y=30
y=10
Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.
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Question in picture. Solve please.
Answer:
\( \frac{1}{3} \pi( {3.5}^{2} )(11) = 44.9\pi\)
C is the correct answer.
4.2 The Court lines are 50 mm wide. Court paint covers 7 m² per litre of paint. 4.2.1 Calculate the total length of the centre circle and the two goal semi circles to be repainted. You may use the formula: Total length Circumference of a centre circle + 2 x Circumference of a semicircle =
The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.
How to calculate the Calculate the total length of the centre circle and the two goal semi circles to be repaintedGiven:
Court lines are 50 mm wide.
Court paint covers 7 m² per litre of paint.
The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr
Radius of the entire circle = 9 m / 2 = 4.5 m
Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m
Circumference of the centre circle = 2π(4.45 m) = 27.94 m
Next, let's calculate the circumference of the semicircles:
The semicircles are half circles, so the circumference is given by the formula: Circumference = πr
The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.
Circumference of a semicircle = π(4.5 m) = 14.14 m
Total length = Circumference of the centre circle + 2 x Circumference of a semicircle
Total length = 27.94 m + 2(14.14 m)
Total length = 56.22 m
Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.
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A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
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for the function f(x)=4/3x+8, what is the average rate of change over any given interval
a. 4
b. 3
c. 4/3
d. 3/4
Answer:
C i think i hope it helps
have a good night
there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
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A gym employee is payed monthly. After working for 3 Months, he had earned $4,500. To determine how much money he will make over a six month period, he created the table below. After how many months will the gym employee have made $19,500?
Darlena has started taking photos at amateur dog racing events, later offering the photos for sale to the dog owners by email. The prices she has charged per photo at each of her first three events, and the corresponding number of photos sold and total revenue raised appear in the table below. Price per Photo $56 $52 $24 Number of Photos Sold 4 5 12 Revenue $224 $260 $288 Treating revenue as a function of the number of photos sold, a graph of the three data points is also shown. If she uses quadratic regression to fit a curve to the data, what number of photos are sold, and what price per photo will maximize her revenue?
Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
What is the quotient of 3125 ÷ 25 answer
The quotient of 3125/25 is 125
Answer:
125
Step-by-step explanation:
A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of course, there is bound to be a little variation. An inspector randomly chooses 16 bars from one day's output of 4000 bars. The average weight of the 16 bars is only 48.5 grams. The inspector wishes to test the null hypothesis that the factory is doing what it is supposed to on this day against the alternative that the company is cheating the consumer. Assume that the weights of all the candy bars that are produced follow the normal curve with a SD of 2 gram(s).
Which significance test should be used?
A z test because the SD of the population is known and the weights follow the normal curve. You are correct. Computer's answer now shown above Previous Tries Your receipt no. is 159-2320
Do you need to use SD+ o estimate the SD of the population?
No, we're given the SD of the population, we don't need to estimate it. Incorrect.
Computer's answer now shown above ries 1/1 Previous Tries
Compute SE. (Give your answer as a decimal to two places) Submit Answer Tries 0/5
Compute the test statistic. (Round your answer to two decimals, using previously rounded answer.) Submit Answer Tries 0/5
What do you conclude?
A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.
B. Cannot reject the null, it's plausible that the factory is making the bars 50 grams as they claim to be doing. Submit Answer Tries 0/1
Answer:
Question 1
The correct option is A
Question two
The correct option is B
Question three
\(SE= 0.5\)
Question four
\(z = - 3 \)
Question five
The correct option is A
Step-by-step explanation:
The population mean is \(\mu = 50 \ grams\)
The sample size is n = 16
The population size is N = 4000
The sample mean is \(\= x = 48.5 \grams\)
The standard deviation is \(s = 2 \ gram(s)\)
Considering the first question
The correct option is A
z test because the SD of the population is known and the weights follow the normal curve
Considering the second question
The correct option is B
Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.
Considering the third question
Generally the standard error is mathematically represented as
\(SE= \frac{s }{\sqrt{n} }\)
=> \(SE= \frac{2 }{\sqrt{16} }\)
=> \(SE= 0.5\)
The null hypothesis is \(H_o : \mu = 50\)
The alternative hypothesis is \(H_a : \mu < 50\)
Generally the test statistics is mathematically represented as
\(z = \frac{ \= x - \mu }{ SE }\)
=> \(z = \frac{ 48.5 - 50 }{ 0.5}\)
=> \(z = - 3 \)
Generally the p-value is mathematically represented as
\(p-value = P(Z < z )\)
=> \(p-value = P(Z < - 3 )\)
From the z-table the
\(P(Z < - 3 ) =0.0013499\)
=> \(p-value = 0.0013499\)
From the obtained values we see that
\(p-value < \alpha\)
So we reject the null hypotheses
The conclusion
it's very unlikely that the factory is making the candy bars 50 grams as they claim
Testing the hypothesis, we have that:
The standard error is of 0.5.The test statistic is z = -3.A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.At the null hypothesis, we test if the factory is doing what it is supposed to, that is, the mean is of 50 grams, hence:
\(H_0: \mu = 50\)
At the alternative hypothesis, we test if the factory is cheating the customer, that is, the mean is of less than 50 grams, hence:
\(H_1: \mu < 50\)
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean. \(\mu\) is the value tested at the null hypothesis. \(\sigma\) is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: \(\overline{x} = 48.5, \mu = 50, \sigma = 2, n = 16\)
Hence, the standard error is:
\(S_e = \frac{2}{\sqrt{16}} = 0.5\)
The value of the test statistic is:
\(z = \frac{\overline{x} - \mu}{S_e}\)
\(z = \frac{48.5 - 50}{0.5}\)
\(z = -3\)
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05, is of \(z^{\ast} = -1.645\)
Since the test statistic is less than the critical value for the left-tailed test, we can reject the null hypothesis.
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write each fraction as a percent 2/7
Answer:
28.57%
Step-by-step explanation:
Answer: 2/7 in terms of percentage is written as 28.57% approximately.
The table below shows information about the
heights of the trees in a park.
How many of the trees are more than 8 m tall
but not more than 16 m tall?
Height, h (m)
0
4
8
12
16
Frequency
4
7
12
5
2
Answer:
According to the table, there are **12** trees that are more than 8m tall but not more than 16m tall.
Source: (1) the table below shows the height of trees in a park. how many trees .... https://brainly.com/question/28952390 Accessed 16/03/2023.
In rhombus TUVW, if mZTUW = 21, find mZUVT. a) b) 21 138 c) 42 d) 69
A Rhombus is a flat shape with 4 equal straight sides.
All the four sides are equal
In the given rohmbus TUVW,
TU = UV = VW = WT
Diagonals of rohmbus bisects the angle into two equal parts.
\(\angle TUW=\angle WUV\)Where as angle TUW = 21 So,
\(\begin{gathered} \angle TUW=\angle WUV=21 \\ \angle WUV=21 \end{gathered}\)