Answer:
Speed = 40 miles/hourStep-by-step explanation:
Distance (d) = 190 miles
Time (t) = 4 hr 45 min = 19 / 4 hours
Speed = distance / time
= 190 / (19/4)
= 40 miles/hour
The average speed is the total distance traveled by the object in a particular time interval.
The average speed of the car in miles per hour is 40 miles per hour.
What is an average speed?The average speed is the total distance traveled by the object in a particular time interval.
We have,
Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes
This can be written in hours as:
= 4.75 hours
Average speed:
= Total distance / Total time
= 190 miles / 4.75 hours
Divide both the numerator and denominator by 4.75
= (190/4.75) / (4.75/4.75)
= 40 miles / 1 hour
Thus the average speed of the car in miles per hour is 40 miles per hour.
Learn more about average speed here:
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If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.
Answer:
The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
Step-by-step explanation:
From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:
[tex]AB = 2\cdot BC[/tex]
[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.
[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]
Then, we expand and simplify the expression above:
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]
[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]
If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:
[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]
[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]
[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]
This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:
[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]
In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.
The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answer:
The probability that their average salary;
standard error
= 10,000/sqrt(16)
=10,000/4
= 2500
(77,500 - 75000)/2500
2,500/2500
= 1
p (z > 1) = .1587
So, the probability that their average salary is more than $77,500 is 0.1587
Step-by-step explanation:
Pls help thank you :)
The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean apples picked
increases or decreases or does not change?
because of the outlier.
The median apples picked
increases or decreases or does not change?
because of the outlier.
The range
increases or decreases or does not change?
because of the outlier.
Answer:
Decreases, decreases, increases
Just took the test
Step-by-step explanation:
Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.
Answer: 2=.36, 3=.48, 4=.16
Step-by-step explanation:
If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.
We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.
Outcomes:. Probability:
SS. .60 x .60 = .36
SD. .60 x .40 = .24
DS. .40 x .60 = .24
DD. .40x .40 =.16
Total. 1.00
Lastly group the similar outcomes. SD+DS= .48
Writing You ask 90 of your classmates if they like sports. There are 20 girls who like sports and 15 boys who like sports. There are 30 boys and 25 girls who do not like sports. Complete the two-way frequency table to show the results of the survey. What are the categories of the row variable? What are the categories of the column variable? Use pencil and paper. How does the table change if the row and column variables are switched?
Answer:
20
Step-by-step explanation:
35-55?
im not sure sorry if im wrong
What will the function f(x) = x² look like translated 3
units right and 8 units down?
Answer:
it will look the same, just shifted.
Step-by-step explanation:
The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.
a rectangle has an area of 140. length is 4 feet longer than the width. I need to find the length and the width
Answer:
140=(w+4)×w
140=w²+4w
w²+4w-140
w=10
l=w+4
l=14
A university wants to investigate how much its students spend on textbooks each semester. Since all
students must purchase their materials through the campus bookstore, a random sample of 15 student
accounts is selected, and the averagą dollar amount spent on textbooks is calculated.
Which of these circumstances would make it inappropriate to use this sample to calculate a 95%
confidence interval for the mean amount spent on books by students at this university?
The standard deviation of the textbook costs is below $30.
The standard deviation of the textbook costs is larger than $100.
A stem-and-leaf plot of the textbook costs shows a roughly symmetric distribution
A histogram of the textbook costs is calculated and shows a slight skew to the right.
A boxplot of the textbook costs shows two students whose amounts would qualify as outliers,
Answer:
Step-by-step explanation:
Use the method of elimination to determine whether the given linear system is consistent or inconsistent. If it is consistent, find the solution if it is unique, otherwise describe the infinite solution set in terms of an arbitrary parameter t. (Note that a system of equations is said to be consistent if it has at least one solution)
4x - 2y + 6z = 0
-y-z=0
- y + 3z = 0
Answer:
Step-by-step explanation:
From the given information;
We will realize that in the 2nd & 3rd equation, the integer "x" is missing.
So, the correct equation should be:
4x - 2 + 6z = 0
x - y - z = 0
2x - y + 3z = 0
By rearrangement; if we switch equation (1) and (2)
x - y - z = 0 ----- (1)
4x - 2 + 6z = 0 ------ (2)
2x - y + 3z = 0 ------ (3)
If we multiply equation (1) and add that to equation (2);
Then, we have:
x - y - z = 0
2y + 10z = 0
2x - y + 3z = 0
Also, if we multiply equation (1) by -2 and add that to equation (3), we have:
x - y - z = 0
2y + 10z = 0
y + 5z = 0
From above recent equation, if we swap equation (2) and (3);
x - y - z = 0
y + 5z = 0
2y + 10z = 0
Then, multiply equation (2) with -2, followed by adding it to equation(3);
Then:
x - y - z = 0
y + 5z = 0
0 = 0
Now, there exists no equation (3). Thus, let assume z = t to solve for x & y
y + 5z = 0
y = -5t
Similarly;
x - y - z = 0
x = -5t + t
x = -4t
Hence;
x = -4t; y = -5t; & z = t
help lol sjdnwkfnnsnfnsndnwmdn
Answer:
m<2 = 40°
Step-by-step explanation:
<1 and <2 area corresponding angles. Corresponding angles are congruent.
m<1 = 40° (given)
Therefore,
m<2 = m<1 = 40°
m<2 = 40°
Someone please help! I dont understand
Answer:
i willl help on all three if u help on my chemistry problems
Brainlyest FOR BEST ANSWER thank u
Answer: B
Step-by-step explanation:
To calculate the mean (average) of a list of numbers, simply add up the numbers and divide by the number of numbers
What is the volume please help me please
Answer:
1296(Length x Width x Height)
6x18x12=
1296I hope this helped! ♡+*
8. Change the fraction 3/4 to a percent.
A. 133%
B. 75%
C.63%
D. 34%
Answer:
B. 75%
Step-by-step explanation:
multiply the numerator and the denominator by 25. 3*25/4*25=75/100. 3/4=75%.
Answer:
75%
Step-by-step explanation:
Start by converting the fraction 3/4 into decimal
Divide the numerator by the denominator: 3 ÷ 4 = 0.75
Multiply the decimal by 100 and write the result with the percentage sign at the end 0.75 × 100 = 75%.
your awnser is, 3/4 = 75%
(sorry if this doesnt
make sence)
A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?
Answer:
$800 is the original price
Step-by-step explanation:
15% discount
if 85% = $680
100% =?
100/85 * $680
=$800
Answer:
800
Step-by-step explanation:
Which set of shapes could you use to form a net for a
triangular prism?
O 5 triangles
О 4 triangles, 1 rectangle
O 3 triangles, 2 rectangles
O 2 triangles, 3 rectangles
PLs help quick,Jonna has 5 yards of fabric.She needs 100 inches of fabric to make curtains.Does she have enough fabric to make curtains?
Answer:
Yes, she has 80 more inches
Why?
Because one yard is 36 inches and she has 5 yards and 5x36=180 and she has 100 inches and 180>100.
She has 80 more.
Hope it helps :)
A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted. Suppose that we are interested in forming a 80 percent confidence interval for the proportion of all college students who drove a car the day before the survey was conducted.
Where appropriate, express your answer as a proportion (not a percentage). Round answers to three decimal places.
Answer:
The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted.
This means that [tex]n = 80, \pi = \frac{44}{80} = 0.55[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.479[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.621[/tex]
The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).
I NEED HELP ASAP PLEASEEEE!!!!! The total surface area of the triangular prism is
Answer:
560
Step-by-step explanation:
Do the following conditions make a unique triangle, more than one triangle or no triangle possible
Answer:
No triangle possible
Step-by-step explanation:
The one side is to short to make a triangle
Solve for x. -4.5 = -0.5(x – 7.1)
Answer:
16.1
Step-by-step explanation:
Answer:
I believe the answer is x = 16.1
Step-by-step explanation:
Triangle ABC is inscribed in a circle. The measure of arc AB is 126°.
Answer:
B. 54°Step-by-step explanation:
hope it help you
follow me please
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
697.5 ft squared
Step-by-step explanation:
Divide into top two squares and rectangle on bottom so...
(10×7.5)+(8×7.5)×(12.5×45)=area
75+60+562.5=697.5 ft squared
which of the following piecewise graphs is not a function
Answer:
The first graph is not a function because it has two values at x = 3. Definition of a function is that it is a relation that assigns exactly one value for each value on its domain
Marcus has 25 baseball cards. Each card is worth a different amount of money. The cards also represent players from different teams in the MLB.3 There are two types of data that we can collect - numerical and categorical. 1 What is an example of numerical data that Marcus can collect about his baseball cards?2 What is an example of categorical data that Marcus can collect about his baseball cards?
1. You can find what the cheapest and most expensive card is.
2. You could find what percent of the people on your cards are brunettes.
You could also find what the average strikes for a team.
You're welcome
Pls helppp i have a timer!!
(10 points)
Answer:
they are both corresponding angles (equal)
48=4x
48/4=x
12=x
Answer:
x = 12
Step-by-step explanation:
4x and 48 are corresponding angles and are congruent, then
4x = 48 ( divide both sides by 4 )
x = 12
Jim has 28 mangoes he gave Tom 8 how many does Jim has
Answer: 20 mangoes.
Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.
28 - 8 = 20
the length of a road is 1000 miles. if 1 inch represents 100 miles, what is the length of the road on the map?
Answer: 10 miles
Step-by-step explanation:
Given
The length of the road is 1000 miles
Solve
The length of the map to real=1 : 100Let x be the length on the map1 : 100 = x : 1000 ⇔ Proportion Set Up
100x = 1000 ⇔ Cross Multiply
100x/100 = 1000/100 ⇔ Divide both sides by 100
x=10 ⇔ Simplify
Hope this helps!! :)
Please let me know if you have any questions
please help me out on this..............
Answer:
Option #2: 32 ÷2
Step-by-step explanation:
Take Note: There are 2 cups in a pint.
Since we are converting cups TO pints.... the number should (logically) be smaller. That eliminates the last two options.
Referring back to our note, it is only sensible to eliminate the first option since there are only 2 cups per pint, NOT 4.
In the end, you should have gotten option 2 which is 32÷2.
The area of a rectangle is 192 cm. The length of the rectangle is 16 cm. What is the width?
192 = 16w -(solve for w)
Area =L×W
192=16W
192/16 =W
W=12cm
