In order to determine the rate at which the searchlight is rotating when the man is 15 ft from the point on the path closest to the searchlight, the following steps should be performed in this order
Learn more about Equation
brainly.com/question/24169758
#SPJ11
Analyze the situation(s).
Organize and record your work.
• Use precise mathematical language to justify and explain each
mathematical process.
Given the functions f (x)= |x| and g(x)=2\x+31 – 4 a. Determine the
changes on the graph of f (x)= |a| when replaced by g(x)=2x + 31 – 4.
b. Identify and analyze the key attributes of f (x) and g(x), including domain,
range, and intercept
Answer:
is there a graph so I can show you?
Answer:
Do you have a graph
Step-by-step explanation:
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9
There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.
In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.
A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.
So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.
Learn more about nominal, ordinal, at:
https://brainly.com/question/13168982
#SPJ4
Select the real-world problem that could be solved using a proportion.
the answer is D
300/6 = x/10
once solved, it will be proportional
mujer culona
mujer culona
mujer culona
mujer culona
mujer culona
mujer culona
mujer culona
mujer culona
mujer culona
mujer culona
Jamal made 7 9 of his free throws and Brian made 5 8 of his free throws. Which player has the better record? Explain.
Answer: Jamal
Step-by-step explanation:
7/9 = 0.777...
5/8 = 0.625
Therefore, Jamal has a higher probability of making it in.
Answer:
Jamal
Step-by-step explanation:
7/9= 0.77
5/8= 0.62
Jamal has a higher probability of making it
the lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. a baby is premature if it is born three weeks early. what percent of babies are born prematurely?
8.08 percent of babies are born prematurely .
We have following information,
lengths of pregnancy of humans are Normally distributed.
mean of distribution ( μ ) = 268 days
standard deviations of distribution = 15 days
We shall find out the pecent of babies are born. prematurely.
Using the Normal distribution formula ,
Z = ( X - μ ) /σ
where X---> sample mean
μ --> poplution mean
putting the possble values of variables we get,
if a baby born three weaks early then he is considered as premature.
X = 21 , μ = 268 , r =
Z = ( 21-268)/ 15 = - 247/15 = - 16.4
Now, p-value corresponding to Z-value= -16.4 is
8.08..
thus for z= -16.4 , p-value will be 8.08 .. So, 8.08 percent of babies are born prematurely.
To learn more about Normal distribution, refer :
https://brainly.com/question/28059926
#SPJ4
-5k^(2) - 22k + 15 factor it
Answer:
-(5k - 3)(k + 5)
Step-by-step explanation:
-5k^(2) - 22k + 15 =
= -(5k² + 22k - 15)
= -(5k - 3)(k + 5)
The equation of a line is 2x + 3y = Select three
lines that are parallel to the given line.
Answer:
The three lines that are parallel to the Given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
Step-by-step explanation:
The exact question is as follows :
Given - The equation of a line is 2x + 3y = 4.
To find - Select three lines that are parallel to the given line.
A) 2x + 3y = 2
B) 2x + 5y = 15
C) 9y = -6x + 15
D) 3y = -2x + 12
E) 3x - 2y = 15
Solution -
We know that,
If the slopes are the same and the y-intercepts are different, the lines are parallel.
Given that,
The given line is 2x + 3y = 4
⇒3y = -2x + 4
⇒y = -(2/3)x + (4/3)
So,
Slope = -(2/3)
y-intercept = (4/3)
Now,
A.)
2x + 3y = 2
⇒3y = - 2x + 2
⇒y = -(2/3) + (2/3)
So,
Slope = -(2/3)
y-intercept = (2/3)
By Comparing with the given line's slope and y-intercept
We can see that
slope is same but y-intercept is different
So,
2x + 3y = 2 is parallel to the given line.
Now,
B.)
2x + 5y = 15
⇒5y = - 2x + 15
⇒y = -(2/5) + (15/5)
So,
Slope = -(2/5)
y-intercept = 3
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
2x + 5y = 15 is not parallel to the given line.
C)
9y = -6x + 15
⇒y = -(6/9)x + (15/9)
= -(2/3)x + (5/3)
⇒y = -(2/3)x + (5/3)
So,
Slope = -(2/3)
y-intercept = 5/3
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
9y = -6x + 15 is parallel to the given line.
D)
3y = -2x + 12
⇒y = -(2/3) + (12/3)
So,
Slope = -(2/3)
y-intercept = 4
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
3y = -2x + 12 is parallel to the given line.
E)
3x - 2y = 15
⇒-2y = -3x + 15
⇒2y = 3x - 15
⇒y = (3/2) - (15/2)
So,
Slope = 3/2
y-intercept = -15/2
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
3x - 2y = 15 is not parallel to the given line.
∴ we get
The three lines that are parallel to the given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
What is a credit score and why is it important to have a good credit score?
A credit score is a measure of the ability to repay a debt. Like any usual unit of measurement, the more the credit score, the better it is.
A credit score ranges from 300 to 900 points. It is usually placed on a scale that is categorized from bad to good. A good credit score increases the chances of an individual to avail of loans and credit services. The better the score, the better the services.
If the score lies between 350-549, it is considered a low score and need urgent action to improve. If the score is between 550-649, the approval probability is doubtful and turbulent. If the score is between 650-699, it is considered satisfactory. If the score is between 700-749, it is considered good. If it is between 750-900, it is an excellent credit score.
To learn more about credit scores:
https://brainly.com/question/29548283
What is the value of h?
112
180-42-26=112
Helpful?
\(\sf 50\times 10\times 7\)
Answer:
50 × 10 × 7 = 3,500
Step-by-step explanation:
pls brainliest plsssssss
What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?
Answer:
7,-10
Step-by-step explanation:
to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 12 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?
The original recipe had 0.9 cups of bananas.
Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.
Cups of strawberries = 1.75
No. of cups added of banana = 1/2
= 0.5
No. of cups of banana smoothie have = 14.
The original recipe had = 1.4 - 0.5
= 0.9
Hence, the original recipe had 0.9 cups of bananas.
Correct Question :
to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?
To learn more about cups here:
https://brainly.com/question/18443055
#SPJ4
krystal boards the ferris wheel at the same time as todd, but she boards at the 6 o'clock position instead. write an expression (in terms of t ) to represent krystal's height (in feet) above the ground.
Answer: T=60Ft
Step-by-step explanation: I double checked with a calculator.
which measure of validility is based on showing a substantial correlation between selection test scores and job performance scores
The measure of validity based on showing a substantial correlation between selection test scores and job performance scores is known as criterion-related validity.
Criterion-related validity is a type of validity that examines the relationship between scores on a selection test and an external criterion, which is typically job performance in this case. The purpose is to determine how well the test predicts or correlates with an individual's ability to perform successfully in a specific job or role.
To establish criterion-related validity, data is collected from individuals who have taken the selection test and their subsequent job performance is measured. By analyzing the correlation between test scores and job performance scores, researchers can determine the extent to which the test accurately predicts future job performance.
If there is a substantial positive correlation between selection test scores and job performance scores, it indicates that the test is valid and can effectively differentiate between individuals who are likely to perform well in the job and those who are not. This provides evidence that the test is a useful tool for selecting candidates who have the potential to succeed in the specific job or role.
In summary, criterion-related validity is demonstrated when there is a significant correlation between selection test scores and job performance scores, indicating the test's ability to predict future job success.
Know more about Correlation here:
https://brainly.com/question/13879362
#SPJ11
Drag each pair of events to the correct location in the table.
Alan rides the bus to work each morning and is studying the relationship between the weather conditions and the bus's arrival time. For about six
months, he records the weather and promptness of the bus. His data is shown in the table.
Delayed
Sunny
Rainy
Foggy
Snowy
Total
68
20
60
5
153
On Time
15
9
4
8
36
83
29
64
13
189
Total
Each pair of events should be dragged to the correct location in the table as follows;
Dependent Events Independent Events
On time and rainy delayed and sunny
Snowy and on time
Foggy and delayed
How to determine the probability for each of the events?Based on the information provided in the table (see attachment), we can calculate the probability for each of the events as follows;
P(sunny) = 36/189
P(delayed) = 83/189
P(sunny and delayed) = 15/189
P(on time) = 153/189
P(rainy) = 29/189
P(on time and rainy) = 20/189
P(on time and snowy) = 5/189
P(snowy) = 153/189
P(foggy) = 29/189
P(delayed and foggy) = 4/189
P(delayed) × P(sunny) - P(sunny and delayed)
83/189 × 36/189 - 15/189 = 0.004 ≈ 0 (it is an independent event).
In conclusion, we can logically deduce that all of the other events would be classified as dependent events.
Read more on probability here: brainly.com/question/25870256
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Answer:
Dependent Events Independent Events
-on time and rainy -delayed and sunny
-snowy and on time
-foggy and delayed
hope this helped!
find the mean of the set of data. round to the nearest 10th if necessary.
9.9, 10.8, 10.8, 6.2, 10.8, 7.2
Answer:
The mean of the data set is 9.3 rounded to the nearest tenth
Step-by-step explanation:
First you add them all together: 9.9 + 10.8 + 10.8 + 6.2 + 10.8 + 7.2 = 55.7
Then you divide it by how many numbers there are which is 6 in this situation:
55.7 ÷ 6 = 9.28333333333. but if we round it to the nearest tenth we get 9.3
So the answer is 9.3
Solve the equation by substitution y=x+1 and 2y=3x
Step-by-step explanation:
suby=x+1 in 2y=3x
2(x+1)=3x
2x+2=3x
2=3x-2x
2=x
Solve for the unknown angle measure θ.
A. θ=112.5
B. θ=120
C. θ=144
D. θ=150
In the given polygon-
>>Two of the angles are of 90⁰
The sum of all angle in n-sided polygon is given by -
\(\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}\)
Here number of sides,n = 8
So ,the sum of all angle = \(\sf (8-2)\times 180\)
\(\sf \implies 6 \times 180\)
\(\sf \implies 1080 \degree\)
>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of \(\theta\) only.
\(\implies \sf 1080- 2\times 90\)
\(\implies \sf 1080- 180\)
\(\implies \sf 900 \degree \)
Now, Sum of remaining 6 angles = 6\(\theta\)
Also, 6\(\theta\) = 900⁰
\(\theta = \dfrac{900}{6}\)
\(\theta = 150 \degree\)
Answer:
heya ^^
let's first see what the question says -
so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.
while , rest of the angles have been named \( \bold{\theta }\) and this thing clears that all the other angles are of equal measure.
now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.
therefore ,
\(\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}\)
therefore ,
option ( D ) θ=150 is correct.
hope helpful :D
What is the monthly payment What is the total payment? Find the finance charge,for a $8,000 4-year loan with an APR of 3%?
Answer:
8,960.66
Step-by-step explanation:
In general, the length of the billing cycle is at least 15 days and no longer than 90 days.
The finance charge for a billing cycle is 960.66.
The new opening balance in the following billing cycle is 8,960.66.
5(a-b) if a=-4 and b=-2
5(a-b) if a=-4 and b=-2
5(-4--2)
5(-4+2)
5(-2)
-10
Answer: -10
Answer:
The expression equals -10.
Step-by-step explanation:
First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.
Know how to read a list of data and answer questions like how
many more did…, what percentage of did…., what percentage of
responses did….., what proportion of customers is …
Reading a list of data and answering questions related to comparisons, percentages, and proportions involves analyzing the given information and calculating relevant metrics based on the data.
To determine "how many more" or the difference between two values, you subtract one value from the other. For example, if you are comparing the sales of two products, you can subtract the sales of one product from the other to find the difference in sales.
To calculate "what percentage of" a specific value, you divide the specific value by the total and multiply it by 100. This will give you the percentage. For instance, if you want to find the percentage of customers who rated a product positively out of the total number of customers, you divide the number of positive ratings by the total number of customers and multiply it by 100.
To determine "what proportion of" a group falls into a specific category, you divide the number of individuals in that category by the total number of individuals in the group. This will give you the proportion. For example, if you want to find the proportion of customers who prefer a certain brand out of the total number of customers surveyed, you divide the number of customers preferring that brand by the total number of customers.
By applying these calculations to the given data, you can provide accurate answers to questions regarding comparisons, percentages, and proportions.
Learn more about customers here: brainly.com/question/31192428
#SPJ11
Pigeonhole suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. is the following statement true or false:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE
What is a sophomore?A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions. A sophomore in high school is equivalent to a tenth-grade or Class-10 student.In sports, a sophomore is a professional athlete in their second season.As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.
So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.
Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.
Know more about sophomore here:
https://brainly.com/question/23382435
#SPJ4
The complete question is given below:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:
"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."
The coordinates of point D are (−14, 13) and the coordinates of the point F are (−8, 3). What are the coordinates of the point one half the distance from D to F? Enter your answer by filling in the boxes.
Answer:
So the answer is P = (-11, 8).
Step-by-step explanation:
The midpoint of two points, (x1, y1) and (x2, y2) is the point M found by the following formula:
M={(x1+x2)/2,(y1+y2)/2}
M={(-14+ -8)/2,(13+3)/2}
M=(-22/2,16/2)
M=(-11,8)
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a six?
I need a whole number btw.
Answer: Theoretically, 1 time
The slope of the line segment above is
True
False
Answer:False
Step-by-step explanation:
Because when you go up and you subtract that numbers you don't get the number you need
Answer:
False
Step-by-step explanation:
then again I don't understand graphs and this one doesn't make sense at all cause first of all its in quadrant 2 so everything is positive... my apologies if I didn't help
<3 Enjoy,
Dea
Solve the following equation. Express your answer as an integer, simplified fraction, or decimal rounded to two decimal places.
−1=−2v+15
Answer:
v=8
Step-by-step explanation:
in order to isolate the variable from the numbers, you add 2v to both sides. Then, you add 1 to both sides because you want to leave the numbers on one side, and the variables on the other. You then get 2v=16 and you divide both sides by 2 to get v by itself.
-1=-2v+15
+2v. +2v
-1+2v=15
+1. +1
2v=16
2v÷2=16÷2
v=8
1 = 5x + 2; w = x^2 + 1
Can someone help me with this question?;(
Answer:
5x^3 + 5x+ 2x^2 + 2
Step-by-step explanation:
(5x+2)(x^2+1)
5x^3 + 5x+ 2x^2 + 2
a two-tail test is conducted with a sample size of 25. the value of the t statistic is -1.68. at the 5% level of significance, should the null hypothesis be rejected?
We cannot reject null hypothesis because -1.68 is not smaller than the critical value of -2.064
What is meant by Null Hypothesis?Null Hypothesis: The null hypothesis assumes that any kind of difference between the chosen characteristics that you see in a set of data is due to chance. For example, if the expected earnings for the gambling game are truly equal to zero, then any difference between the average earnings in the data and zero is due to chance.
given that a two-tail test is conducted with a sample size of 25
and the value of the t statistic is -1.68. at the 5% level of significance
we know that the critical value is of -2.064
we cannot reject null hypothesis because -1.68 is not smaller than the critical value of -2.064
To learn more about Null Hypothesis visit:
brainly.com/question/28920252
#SPJ4
Aaron gets paid $7.00 an hour at his job.how much money would he earn if he spends 2 hours a day working
Answer:
14 dollars in one day
35 dollars if he works five days a week
49 dollars if he works 7 days a week
Step-by-step explanation:
Answer:
$14.00
Step-by-step explanation:
$7.00 x 2= $14.00
:>