Distance travelled = rate (or speed) * time.If Deandre drives 203 miles at a constant speed of 58 mph. How long will it take? (Be sure to includeunits.)
Answers
Given the formula;
\(\begin{gathered} \text{Distance}=\text{Speed}\times time \\ D=s\times t \end{gathered}\)Then, the time taken is the ratio of the distance and the speed. That is;
\(t=\frac{D}{s}\)But Deandre drives 203 miles at a constant speed of 58mph. Then, the time it took would be;
\(\begin{gathered} \text{Where;} \\ d=203\text{miles} \\ s=58\text{mph} \\ t=\frac{203}{58} \\ t=3.5 \end{gathered}\)Hence, note that the unit of time in the problem is hour. Thus, the time taken to drive 203 miles at a constant speed of 58mph is 3.5hours
Related Questions
Which equation shows y=3x−1/5 in standard form?
5x−15y=1
15x−5y=1
5x−15y=−1
15x+5y=−1
Answers
Answer:
The answer is 15x-5y=1
A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 10.2 reproductions and the population standard deviation is known to be 2.4. If a sample of 907 was used for the study, construct the 85% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place
Answers
Answer:
The 85% confidence interval for the true mean number of reproductions per hour for the virus is between 10.1 and 10.3.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1-0.85}{2} = 0.075\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).
So it is z with a pvalue of \(1-0.075= 0.925\), so \(z = 1.44\)
Now, find the margin of error M as such
\(M = z*\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
\(M = 1.44*\frac{2.4}{\sqrt{907}} = 0.1\)
The lower end of the interval is the sample mean subtracted by M. So it is 10.2 - 0.1 = 10.1 reproductions per hour.
The upper end of the interval is the sample mean added to M. So it is 10.2 + 0.1 = 10.3 reproductions per hour.
The 85% confidence interval for the true mean number of reproductions per hour for the virus is between 10.1 and 10.3.
help asap please help
Answers
Answer:
Answer:
The Prime Factorization is:
2 x 5 x 11
Step-by-step explanation:
Rewrite the equation below so that it does not have fractions. 5+2/3x=3/4 Do not use decimals in your answer.
Answers
Answer:9
Step-by-step explanation:
Prove that (2n+5)^2-(11-4n)^2 is divisible by 12, if n is an integer.
PLEASE ANSWER ASAP I NEED THIS!
Answers
Answer:
steps below
Step-by-step explanation:
(2n+5)²-(11-4n)² = (4n²+20n+25) - (121-88n+16n²)
= -12n²+108n-96
= 12(-n²+9n-8) .... multiple of 12
Statistical measures are shown for the number of hours per week spent doing homework by the students in two classes. Class 1: mean number of hours spent doing homework = 20,mean absolute value deviation = 2. Class 2: mean number of hours spent doing homework = 24, mean absolute value deviation = 2. The difference between the means of the two data sets is ___
Answers
The difference between the means of the two data sets is 4.
How to determine the difference between the means of the two data sets?
Statistical measures are used to describe, analyze, and interpret data. There are several measures that are commonly used in statistics, such as mean, median, mode, standard deviation, etc.
The mean, also known as the average, is the sum of all the values in a dataset divided by the total number of values. It represents the central tendency of the data.
The difference between the means of the two data sets is:
difference between the means = (Class 2 mean) - (Class 1 mean)
difference between the means = 24 - 20 = 4
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How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answers
Answer:
43.6 has 3 significant figures.
A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answers
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
6. Imagine you are given the diameter of a circle and asked to find its volume. Circle the statement that describes what you should do. Draw a line through the incorrect statements.
Substitute the diameter value for r in the formula and calculate as usual.
Divide the diameter by 2 to find the radius, and then use the volume formula as usual.
Multiply the diameter by 2 to find the radius, and then use the volume formula as usual.
Answers
The formula for the volume of a circle is V = (4/3)πr³, where r is the radius obtained by dividing the diameter by 2.
First, it's important to understand what the diameter of a circle represents. The diameter is the distance across the circle, passing through the center. In contrast, the radius is the distance from the center of the circle to any point on the edge.
Now, let's consider the statements given:
Substitute the diameter value for r in the formula and calculate as usual.
This statement is incorrect because the formula for the volume of a circle involves the radius, not the diameter. If we substitute the diameter for the radius, we would end up with the wrong answer.
Divide the diameter by 2 to find the radius, and then use the volume formula as usual.
This statement is correct. Since the radius is half the diameter, dividing the diameter by 2 will give us the radius. We can then use the formula for the volume of a circle, which is V = (4/3)πr³, where r is the radius.
Multiply the diameter by 2 to find the radius, and then use the volume formula as usual.
This statement is incorrect. If we multiply the diameter by 2, we would end up with the diameter, not the radius. Again, we need to use the radius in the formula for the volume of a circle.
To summarize, when given the diameter of a circle and asked to find its volume, we should divide the diameter by 2 to find the radius and then use the volume formula as usual.
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For I am convinced that neither death nor life, neither angels nor demons, neither the present nor the future, nor any powers, neither height nor depth, nor anything else in all creation, will be able to separate us from the love of God that is in Christ Jesus our Lord.
Answers
Answer:
Okay, I just realized you've spammed this question. Pretty funny.
Step-by-step explanation:
And this account was just created today for this sole purpose.
What is the number of formula units in a 1.96 mol sample of NH4NO3 ?
number of formula units:
Answers
There are \(1.18\times 10^24\) formula units in a 1.96 mol sample of NH4NO3.
What is Avagadaro's Number ?
Avogadro's number, denoted as N_A, is a fundamental physical constant that represents the number of particles (such as atoms, molecules, ions, or other particles) in one mole of a substance. One mole of a substance contains Avogadro's number of particles, which is approximately 6.022 x 10²³ particles.
The number of formula units in a sample of a compound can be calculated using Avogadro's number (6.022 x 10²³) and the molar mass of the compound.
The molar mass of NH4NO3 can be calculated as:
M(NH4NO3) = 14.01 + 4(1.01) + 14.01 + 3(16.00) = 80.04 g/mol
Therefore, the number of formula units in a 1.96 mol sample of NH4NO3 can be calculated as:
(1.96 mol NH4NO3) x (6.022 x 10²³ formula units/mol) = 1.18 x 10²⁴formula units
So, there are 1.18 x 10²⁴ formula units in a 1.96 mol sample of NH4NO3.
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Complete Question:
What Is The Number For Formula Units In A 1.96 Mol Sample Of NH₄NO₃?
The price of a watch was increased by 20% to £198.
What was the price before the increase?
Answers
Answer:
165
Step-by-step explanation:
198/1.2 = 165
FInd the measure of the arc using the picture provided , please and thanks
Answers
The measure of arc angle QTP is 204 degrees.
How to find arc angle?When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Therefore, let's find the measure of arc angle QTP as follows:
90 = 0.5(x - 68)
90 = 0.5x - 34
0.5x = 124
x = 124 / 0.5
x = 248 degrees
Where
x = arc angle TSQ
Therefore,
arc QP = 44 degrees
Therefore,
arc QTP = 248 - 44
arc QTP = 204 degrees
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Same directions as question #1
Sn = ( -1 )n + 1
Answers
The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.
How to depict the information?The formula for finding the nth term in an arithmetic sequence given as:
= a + (n - 1)d
Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:
= (-1)n + 1
= (-1)5 + 1
= (-1)6
= -6
Here is the complete question:
Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.
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Jane has 5 yards of fabric. She uses 1 7/8 yrds to make a skirt. About how much fabric does Jane have left after making the skirt?
Answers
Step by step
5 yards - 1 7/8 yards
1 yard = 8/8 yards
So we can take 1 whole yard from 5 and turn it into a fraction of 4 8/8
Now subtract
4 8/8 - 1 7/8 = 3 1/8 yards left
Answer:
The answer is 3.
Multiply (-4)(-2)(-5)
Answers
Answer:
-40
Step-by-step explanation:
So what this question is basically saying is that you have to multiply -4 by -2 first to get 8 and then you multiply that by -5 hence getting the answer of -40
Find the area of this parallelogram.
6 cm
11 cm
Answers
Step-by-step explanation:
given,
base( b) = 6cm
height (h)= 11cm
now, area of parallelogram (a)= b×h
or, a = 6cm ×11cm
therefore the area of parallelogram (p) is 66cm^2.
hope it helps...
Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
Answers
The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
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Select the relationship below between ∠a and ∠b? Worth 3 points. A.Vertical angles B.Complementary angles C.Supplementary angles
Answers
Answer:
b
Step-by-step explanation:
The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time. Which of the following is the equation of the line of best fit? A. B. C. D.
Answers
The equation for the line of best fit is given as follows:
y = 50x/3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence:
y = mx.
When x = 3, y = 50, hence the slope m is given as follows:
3m = 50
m = 50/3.
Hence the equation is:
y = 50x/3.
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Mr. Argo went to dinner with a friend at Outfront Steakhouse. His dinner cost $40, and he left a 20% tip. What was his total cost?
Answer = $
Help please.
Answers
Answer: 48$
Step-by-step explanation:
20% of 40$ is 8$ so its 48$
Answer:
what the other guy said, 48$
Step-by-step explanation:
Two balls are drawn in succession without replacement from a box containing 5 red balls and 7 black balls. The possible outcomes and the values of the random variable X, where X is the number of red balls.i-Findtheprobabilitydistributionofthenumberofredballs.ii- Find cumulative distribution function (CDF).
Answers
Answer:
Given that,
Two balls are drawn in succession without replacement from a box containing 5 red balls and 7 black balls.
The possible outcomes and the values of the random variable X, where X is the number of red balls.
1) To find the probability distribution of the number of red balls.
Total possible outcome is
\(12C_2=\frac{12\times11}{2}=66\)We get the X=0,1,2
If there is no red ball,
Then X=0, we get
P(X=0) is,
\(P(X=0)=\frac{5C_0\times7C_2^{}}{12C_2}\)we get,
\(P(X=0)=\frac{1\times7\times3}{6\times11}=\frac{21}{66}\)If there is 1 red ball then X=1
we get,
P(X=1) is
\(P(X=1)=\frac{5C_1\times7C^{}_1}{12C_2}\)\(P(X=1)=\frac{5\times7}{66}=\frac{35}{66}\)If there is 2 red balls then X=2
we get,
P(X=2) is
\(P(X=2)=\frac{5C_2\times7C^{}_0}{12C_2}=\frac{10}{66}\)2)To find cumulative distribution function F(x)
\(F(x)=P(X\leq x)\)when x=0
we get,
\(\begin{gathered} F(0)=P(X\leq0)=P(X=0) \\ F(0)=\frac{21}{66} \end{gathered}\)When x=1 we get
\(F(1)=P(X\leq1)=P(X=0)+P(X=1)\)\(\begin{gathered} F(1)=\frac{21}{66}+\frac{35}{66}=\frac{56}{66} \\ F(1)=\frac{56}{66} \end{gathered}\)When x=2 we get,
\(\begin{gathered} F(2)=P(X\leq2)=P(X=0)+P(X=1)+P(X=2) \\ F(2)=\frac{21}{66}+\frac{35}{66}+\frac{10}{66}=\frac{66}{66} \end{gathered}\)\(F(2)=1\)A bag of trail weighs 1.625 pounds. Round 1.625 to the nearest hundredth. Use the number line for help.
Answers
Answer:
1.63 lb
Step-by-step explanation:
1.625 \|\ the five would round the two up to a three
1.63
the sum of 106 and h
Answers
The sum of 106 and h can be written as an expression in the following way: 106 + h
This expression represents the sum of the two numbers, 106 and h. We can simplify this expression by combining like terms, but since h is a variable and 106 is a constant, we cannot combine them. Therefore, the expression remains as 106 + h.
In conclusion, the sum of 106 and h is represented by the expression 106 + h.
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Which expression is equivalent to 3x2−18x−21
3
x
2
−
18
x
−
21
?
Answers
Answer:
3x²-18x-21=3(x²-6x-7)
Step-by-step explanation:
We can obtain a common factor 3, so
3x²-18x-21=3(x²-6x-7)
Which expression is equivalent to (3+4i)(2−3i)
Answers
The expression that is equivalent to the given value would be = 18-i . That is option C.
What is an equivalent expression?An equivalent expression is defined as the type of expression that is similar to a given value when simplified.
The given expression = ( 3 + 4i) ( 2 - 3i)
Expand the given expression by removing the brackets as follows:
= =2(3+4i)−3i(3+4i)
=(6+8i)−(9i−12)
= (6+12)+i(8−9)
=18−i.
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Question
The following data set represents the dollar amounts of donations collected at the entrance to a free museum during one hour.
Donation Amount ($) Frequency
1 1
5 5
10 3
15 1
600 1
Is the median a reasonably good measure of central tendency for this data set? What if the outlier were removed from consideration?
Select the correct answer below:
The median is a good measure regardless of whether the outlier is included.
The median is a very poor measure regardless of whether the outlier is included.
The median is a good measure when the outlier is included, but it would be a very poor measure if the outlier were removed from consideration.
The median is a very poor measure when the outlier is included, but it would be a good measure if the outlier were removed from consideration.
Answers
In the given situation (A) the median is a good measure regardless of whether the outlier is included.
What do we mean by media?The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data set. The basic difference between the median and the mean in describing data is that the median is not skewed by a small proportion of extremely large or small values, and thus provides a better representation of a "typical" value.To find the median:
1, 5, 5, 5, 5, 5, 10, 10, 10, 15, 600The number of terms is 11, so the middle number will be the 5th term from both ends.The 5th term is 5.So, regardless of whether the outlier is included, the median is a good measure in the given situation.Therefore, in the given situation (A) the median is a good measure regardless of whether the outlier is included.
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The correct question is given below:
The following dataset represents the dollar amounts of donations collected at the entrance to a free museum for one hour.
(Refer to the table given below)
Is the median a reasonably good measure of central tendency for this dataset? What if the outlier were removed from consideration?
Select the correct answer below:
(A) The median is a good measure regardless of whether the outlier is included.
(B) The median is a very poor measure regardless of whether the outlier is included.
(C) The median is a good measure when the outlier is included, but it would be a very poor measure if the outlier were removed from consideration.
(D) The median is a very poor measure when the outlier is included, but it would be a good measure if the outlier were removed from consideration.
ILL GIVE U BRAINLIST OR WHATEVER
The nationwide percentage of Americans who invest in the stock market is usually taken to be 55%. Is this percentage different in Georgia? A survey and analysis among Georgia residents led to a test statistic of 1.75.
(b) What is the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average? (Use 4 decimals.)
Answers
Okay, here are the steps to find the p-value:
1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)
2) The test statistic for Georgia is 1.75
3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.
4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).
5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)
6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.
7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.
So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.
Let me know if you have any other questions!
Okay, here are the steps to find the p-value:
1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)
2) The test statistic for Georgia is 1.75
3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.
4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).
5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)
6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.
7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.
So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.
Let me know if you have any other questions!
Mikey johnson shipped out 34 2/7 pounds of electrical supplies . The supplies are placed in individual packets that weigh 2 1/7 pounds each . How many packets did he ship out ?
Answers
Mikey Johnson shipped out 34 2/7 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 1/7 pounds each. Therefore, Mikey shipped out 16 packets of electrical supplies.
To solve the problem, we can use the following steps.Step 1: Find the weight of each packet.
We are given that the weight of each packet is 2 1/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 2 1/7 = (2 × 7 + 1) / 7= 15 / 7 pounds.
Therefore, the weight of each packet is 15/7 pounds.
Now, divide the total weight by the weight of each packet.
We are given that the total weight of the supplies shipped out is 34 2/7 pounds.
To convert this mixed number into an improper fraction, we can multiply the whole number by the denominator and add the numerator.
This gives us: 34 2/7 = (34 × 7 + 2) / 7= 240 / 7 pounds.
Therefore, the total weight of the supplies is 240/7 pounds.
To find the number of packets that Mikey shipped out, we can divide the total weight by the weight of each packet.
This gives us: 240/7 ÷ 15/7 = 240/7 × 7/15= 16.
Therefore, Mikey shipped out 16 packets of electrical supplies.
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Please someone help me!!
Answers
1. Length of side DE = 9
Length of side DF = 15
2. Length of side DE = 5.625
Length of side EF = 4.96
3. Length of side DF = 10
Length of side EF = 6.61
Given,
Two triangles
Triangle ABC and Triangle DEF ; These are similar triangles
That is,
AB = DE, BC = EF, AC = DF
Here,
AB = 3
BC = 4
1. EF = 12
AB/BC = DE/EF
3/4 = x/12
x = (12 x 3) / 4
x = 3 x 3 = 9
Length of side DE = 9
DF = \(\sqrt{9^{2} +12^{2} }\) = \(\sqrt{81 + 144}\) = √225 = 15
Now,
2. DF = 7.5
AB/BC = DE/DF
3/4 = x/7.5
x = (7.5 x 3) / 4
x = 5.625
Length of side DE = 5.625
EF = \(\sqrt{7.5^{2}-5.625^{2} }\) = \(\sqrt{56.25-31.64}\) = √24.61 = 4.96
Next,
3. DE = 7.5
AB/BC = DE/DF
3/4 = 7.5/x
x = (7.5 × 4) / 3 = 30/3
x = 10
Length of side DF = 10
EF = \(\sqrt{10^{2}-7.5^{2} }\) = \(\sqrt{100-56.25}\) = √43.75 = 6.61
That is,
1. Length of side DE = 9
Length of side DF = 15
2. Length of side DE = 5.625
Length of side EF = 4.96
3. Length of side DF = 10
Length of side EF = 6.61
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