Answer: 56.9
Step-by-step explanation:
Let the original number be denoted by x.
We are informed that when the number is increased by 5.5%, the result is 60. This can be represented by:
x + (5.5% of x) = 60
x + (0.055 × x) = 60
x + 0.055x = 60
1.055x = 60
x = 60/1.055
x = 56.9
The original number is 56.9
5^8 x 5^-2 =
a. 5^10
b. 5^6
c. 6^5
d. 5^-16
5^6
• Calculate the answer as a whole number
• Then calculate whichever answer you think it is
• if it's the same whole number, then it is correct
• If it isn't, try again with another one of the answers
What's the slope of the 2 points. (-4,5)(-2,13)
Answer:
Slope is 4
Step-by-step explanation:
m = 4
please help me on this
Answer: C
Step-by-step explanation:
Just trust please
Amazon plans to ship 23,660 pencils to our school. Amazon currently only has 35 boxes to ship all of the pencils. If every box carries the same number of pencils, then how many pencils will be shipped in each box?
Answer:
676
Step-by-step explanation:
Divide the number of pencils by the number of boxes
some girls who excelled at math/science in elementary school, during puberty may fear focusing on these may limit popularity or attractiveness as girls.
It is essential to encourage and support these girls to continue pursuing their interests and talents in math and science, as excelling in these fields can lead to successful careers and personal growth.
It is unfortunate that some girls may fear focusing on math and science during puberty due to concerns about popularity or attractiveness. However, it is important to remember that excelling in these subjects can lead to numerous opportunities and career paths in the future. It is also important to note that intelligence and academic achievement should be celebrated and valued regardless of gender stereotypes. Schools can play a role in promoting the importance of STEM subjects and encouraging girls to pursue their interests in these areas.
It has been observed that some girls who excelled in math and science during elementary school may develop concerns during puberty that focusing on these subjects might limit their popularity or attractiveness as girls. This could be due to societal stereotypes or peer pressure, which might influence their academic choices and priorities. It is essential to encourage and support these girls to continue pursuing their interests and talents in math and science, as excelling in these fields can lead to successful careers and personal growth.
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It is essential to encourage and support these girls to continue pursuing their interests and talents in math and science, as excelling in these fields can lead to successful careers and personal growth.
It is unfortunate that some girls may fear focusing on math and science during puberty due to concerns about popularity or attractiveness. However, it is important to remember that excelling in these subjects can lead to and career paths in the future. It is also important to note that intelligence and academic achievement should be celebrated and valued regardless of gender stereotypes. Schools can play a role in promoting the importance of STEM subjects and encouraging girls to pursue their interests in these areas.
It has been observed that some girls who excelled in math and science during elementary school may develop concerns during puberty that focusing on these subjects might limit their popularity or attractiveness as girls.
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For a student t distribution with mean 0, standard deviation 1, and degrees of freedom 49, which of the following Python lines output the critical value a if p(t
To find the critical value 'a' for a specific probability 'p' in a student t-distribution with mean 0, standard deviation 1, and degrees of freedom 49, you can use the t.ppf() function from the scipy.stats module in Python.
Here's an example of how you can use this function to find the critical value:
python
from scipy.stats import t
p = 0.05 # desired probability
df = 49 # degrees of freedom
a = t.ppf(p, df) # calculating the critical value
print(a) # outputting the critical value
The t.ppf() function takes two arguments: the probability 'p' and the degrees of freedom 'df'. It returns the critical value 'a' corresponding to the given probability and degrees of freedom.
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Jack ran a total of 30 miles over the course of 15 track practices. How many track practices would it take for Jack to run 44 miles? Solve using unit rates.
My brain isn’t functioning and i need this done before December 21.
Answer:
22
Step-by-step explanation:
Use a proportion.
30/15 = 44/x
30x = 15 × 44
2x = 44
x = 22
Answer:
22
Step-by-step explanation:
30 miles/ 15 sessions of tract practice
Per practice Jack is running a total of 2 miles.
So 44 miles/2 miles
22 sessions of track practice
which of the following are equivalent fractions? (a). 9/28 (b). 3/8 (c). 24/64 (d).21/54 (e).15/40
there are 5 black and 5 white mice available for a lab experiment that requires a total of 4 mice. suppose the 4 mice are randomly selected. a) what is the probability that 2 black and 2 white mice are chosen?
The probability that 2 black and 2 white mice are chosen, is 10/21.
In the given question,
There are 5 black and 5 white mice available for a lab experiment that requires a total of 4 mice.
The 4 mice are randomly selected.
We have to find the probability that 2 black and 2 white mice are chosen.
There are 5 black and 5 white mice.
So the total number of mice = 5+5 = 10
We randomly selected 4 mice.
So the total number of cases of selecting the mice = \(^{11}C_{4}\)
As we know that \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\)
The total number of cases of selecting the mice = \(\frac{10!}{4!(10-4)!}\)
The total number of cases of selecting the mice = \(\frac{10!}{4!(6)!}\)
The total number of cases of selecting the mice = \(\frac{10\times9\times8\times7\times6!}{4\times3\times2\times1\times6!}\)
Simplifying
The total number of cases of selecting the mice = 10×3×7
The total number of cases of selecting the mice = 210
Now the number of favorable case that 2 black and 2 white mice are chosen.
Total number of favorable case = \(^{5}C_{2}\times^{5}C_{2}\)
Simplifying
Total number of favorable case = \(\frac{5!}{2!(5-2)!}\times\frac{5!}{2!(5-2)!}\)
Total number of favorable case = \(\frac{5!}{2!3!}\times\frac{5!}{2!3!}\)
Total number of favorable case = \(\frac{5\times4\times3!}{2\times1\times3!}\times\frac{5\times4\times3!}{2\times1\times3!}\)
Simplifying
Total number of favorable case = 5×2×5×2
Total number of favorable case = 100
Now the probability that 2 black and 2 white mice are chosen
P = Total number of favorable case/Total number of cases of selecting the mice
P = 100/210
P = 10/21
Hence, the probability that 2 black and 2 white mice are chosen, is 10/21.
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If the circumference of a circle sheet is 154cm find its radius.Also find the area of the ctake R =22 by 7
Answer:
\(circumference \: of \: a \: circle = 154 \\ 2\pi \: r = 154 \\ 2 \times \frac{22}{7} \times r = 154 \\ r = 98 \\ \\ \\ area \: of \: a \: triangle = \pi {r}^{2} \\ \frac{22}{7 } \times 98 \times 98 = 30184cm ^{2} \)
Step-by-step explanation:
please mark me as brainlest
Answer:
The radius of circle is 24.5 cm.
The area of circle is 1886.5 cm².
Step-by-step explanation:
\(\large{\tt{\purple{\underline{\underline{\pink{SOLUTION: -}}}}}}\)
Finding the radius of circle by substituting the values in the formula :
\(\star{\underline{\boxed{\tt{\purple{C_{(Circle)} = 2\pi r}}}}}\)
\(\pink\star\) C = circumference \(\pink\star\) π = 22/7\(\pink\star\) r = radius\(\longrightarrow{\tt{C_{(Circle)} = 2\pi r}}\)
\(\longrightarrow{\tt{154 = 2 \times \dfrac{22}{7} \times r}}\)
\(\longrightarrow{\tt{154 = \dfrac{2 \times 22}{7} \times r}}\)
\(\longrightarrow{\tt{154 = \dfrac{44}{7} \times r}}\)
\(\longrightarrow{\tt{r = 154 \times \dfrac{7}{44}}}\)
\(\longrightarrow{\tt{r =\dfrac{154 \times 7}{44}}}\)
\(\longrightarrow{\tt{r =\dfrac{1078}{44}}}\)
\(\longrightarrow{\tt{r =24.5}}\)
\(\star{\underline{\boxed{\tt{\red{r =24.5 \: cm}}}}}\)
Hence, the radius of circle is 24.5 cm.
\(\begin{gathered}\end{gathered}\)
Finding the area of circle by substituting the values in the formula :
\(\star{\underline{\boxed{\tt{\purple{A_{(Circle)} = \pi{r}^{2} }}}}}\)
\(\pink\star\) A = area\(\pink\star\) π = 22/7\(\pink\star\) r = radius\(\longrightarrow{\tt{A_{(Circle)} = \pi{r}^{2} }}\)
\(\longrightarrow{\tt{Area_{(Circle)} = \dfrac{22}{7} \times {(24.5)}^{2} }}\)
\({\longrightarrow{\tt{Area_{(Circle)} = \dfrac{22}{7} \times {(24.5 \times 24.5)}}}}\)
\({\longrightarrow{\tt{Area_{(Circle)} = \dfrac{22}{7} \times {(600.25)}}}}\)
\({\longrightarrow{\tt{Area_{(Circle)} = \dfrac{22}{7} \times 600.25}}}\)
\({\longrightarrow{\tt{Area_{(Circle)} = \dfrac{22}{\cancel{7}} \times \cancel{600.25}}}}\)
\({\longrightarrow{\tt{Area_{(Circle)} = 22 \times 85.75}}}\)
\({\longrightarrow{\tt{Area_{(Circle)} = 1886.5}}}\)
\(\star{\underline{\boxed{\tt{\red{Area_{(Circle)} = 1886.5 \: {cm}^{2}}}}}}\)
Hence, the area of circle is 1886.5 cm².
\(\rule{300}{2.5}\)
The value of the first term of a G.P if its sum of three numbers is 7 and their
product is 8.* find the gp.
Sum of three terms in a GP = 7
Product of the numbers = 8
Find:G.P
Solution:Let the three numbers be a/r , a , ar where a is the first term and r is the common ratio.
So,
⟹ a/r + a + ar = 7 -- equation (1)
And,
⟹ (a/r) * a * ar = 8
⟹ a³ = 8
⟹ a = ³√8
⟹ a = 2
Substitute the value a in equation (1).
⟹ 2/r + 2 + 2r = 7
⟹ (2 + 2r + 2r²)/r = 7
⟹ 2 + 2r + 2r² = 7r
⟹ 2r² + 2r - 7r + 2 = 0
⟹ 2r² - 5r + 2 = 0
⟹ 2r² - 4r - r + 2 = 0
⟹ 2r(r - 2) - 1 (r - 2) = 0
⟹ (2r - 1)(r - 2) = 0
★ 2r - 1 = 0
⟹ 2r = 1
⟹ r = 1/2
★ r - 2 = 0
⟹ r = 2
If r = 1/2 ;
a/r = 2/(1/2) = 2 * 2 = 4
a = 2
ar = 2 * 1/2 = 1
If r = 2 ;
a/r = 2/2 = 1
a = 2
ar = 2 * 2 = 4
∴ Required GP is 4 , 2 , 1 or 1 , 2 , 4.
I hope it will help you.
Regards.
Step-by-step explanation:
Assume that the 4 terms are a/r, a , ar, ar2.
Product of first 3 terms = a3 =8
=> a=2
Sum of last 3 terms :
a(1 + r + r2) = 14
=> r2 + r - 6 = 0
Solving the above equation r= -3 or 2
So the terms are
-2/3, 2, -6, 18
Or
1, 2, 4, 8
the measure of three interior angle of a triangle are in the ratio 2፡3፡4. what is the measure of the smallest and largest interior angles of triangle?
Answer:
Below
Step-by-step explanation:
The interior angles of ANY triangle add up to 180 degrees
you want to divide this 180 into 2 + 3 + 4 = 9 parts
180 / 9 = 20 degrees for each part
2 parts = 2 * 20 = 40 °
4 parts = 4 * 20 = 80 °
A botanist found a correlation between the length of an aspen leaf and its surface area to be 0.94. Why does the correlation value
of 0.94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an aspen
leaf and its surface area?
Answer:
Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.
Evaluate the triple integral ∭Ex8eydV, where E is bounded by the parabolic cylinder z=16−y2z=16 and the planes z=0,x=4,and x=−4
Refer to the images attached.
Binary not linear
The first picture is the question code
The second picture is an answer from Chegg but not good
enough
Please help me
Copy and paste the full contents of your binary_finder module into the box below. NOTES that you must read! - Your code will not be fully marked until the quiz has closed. - You must check your code w
Based on the information provided, it seems that you are encountering some issues with a module called "binary_finder."
The phrase "content loaded" suggests that you have loaded some content, possibly related to this module. "Binary not linear" indicates that the nature of the content or code you're dealing with is binary, which means it consists of zeros and ones.
You mentioned having two pictures, one showing the question code and another displaying an answer from Chegg, which you find insufficient. However, the actual content of those pictures was not provided. If you can share the code or describe the specific problem you're facing with the binary_finder module, I'll be happy to assist you further.
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It is multiple choice.
The expressions that are equivalent to 25 + 3(a-5) + 7a are:
10a + 10, 5(2a + 2) and 2(5a + 5)
How to determine the equivalent expressions?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s).
The expression 25 + 3(a-5) + 7a can be written as follow:
25 + 3(a-5) + 7a = 25 + 3a -15 + 7a
= 10a + 10
Thus, 10a + 10 is equivalent to 25 + 3(a-5) + 7a
Since 5(2a + 2) = 10a + 10. Thus, 5(2a + 2) is equivalent to 25 + 3(a-5) + 7a
Also, 2(5a + 5) = 10a + 10. Thus, 2(5a + 5) is equivalent to 25 + 3(a-5) + 7a
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which expression has the same value as -5 - (-9)?
Answer: the answer is 4 your welcome
Step-by-step explanation:
Given the following piecewise defined functions, evaluate each of the problems below.
h(x) ={7, when x<0
{x+1, when 0 ≤x ≤4
{√x-1, when x>4
1.h(0)
2.h(10)
3.h(-3)
4.h(3)
The values of the functions are h(0) = 1, h(10) = 3, h(-3) = 7 and h(3) = 4
How to evaluate each of the function values from the piecewise function?The piecewise function is given as:
h(x) = {7, when x<0
{x+1, when 0 ≤x ≤4
{√x-1, when x>4
Next, we solve the function values
1. Function h(0)
This means that x = 0
To do this, we make use of h(x) = x + 1 because x= 0 is in its domain
So, we have
h(0) = 0 + 1
h(0) = 1
2. Function h(10)
This means that x = 10
To do this, we make use of h(x) = √x - 1 because x= 10 is in its domain
So, we have
h(10) = √10 - 1
h(10) = √9
h(10) = 3
3. Function h(-3)
This means that x = -3
To do this, we make use of h(x) = 7 because x= -3 is in its domain
So, we have
h(-3) = 7
4. Function h(3)
This means that x = 3
To do this, we make use of h(x) = x + 1 because x= 3 is in its domain
So, we have
h(3) = 3 + 1
h(3) = 4
Hence, the values of the functions are h(0) = 1, h(10) = 3, h(-3) = 7 and h(3) = 4
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4x-2=-6
how to solve this math problem
Answer:8
Step-by-step explanation: First you times 4 x 2 like
4+4=8 here is how i got the four you have to put the four 2 times i hope this helped
Simplify 3n(8n2 + 7n + 6 )
Answer:
24n^3 + 21n^2 + 18n
Step-by-step explanation:
distribute the 3n to each of the other numbers
3n(8n2) + 3n(7n) + 3n(6)
= 24n^3 + 21n^2 + 18n
set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the y-axis. (round your final answer to three decimal places.) y = 1 − x2 36 , 0 ≤ x ≤ 6
The surface area of the curve y = (1 - x^2)/36 revolved around the y-axis can be found using the formula A = 2π ∫[0, 1] √(36y - y^2) √(1 + (dx/dy)^2) dy, where x = √(36y - y^2). Evaluating this integral will provide the surface area of the generated surface.
To set up and evaluate the definite integral for the area of the surface generated by revolving the curve y = (1 - x^2)/36 about the y-axis, we can use the formula for the surface area of revolution. The formula is given by:
A = 2π ∫[a, b] x(y) √(1 + (dx/dy)^2) dy,
where x(y) represents the function defining the curve, and a and b are the corresponding y-values for the interval of interest.
In this case, we need to express x in terms of y by rearranging the given equation: x = √(36y - y^2). The interval of interest is 0 ≤ y ≤ 1, corresponding to the range of x values [0, 6].
Now, we substitute the expressions for x(y) and dx/dy into the surface area formula and evaluate the integral:
A = 2π ∫[0, 1] √(36y - y^2) √(1 + (dx/dy)^2) dy.
Simplifying and solving this integral will give us the final answer, rounded to three decimal places.
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Consider the distribution of exam scores for the first exam within a college course. If the set of exam forms is symmetrical distribution, what can be concluded about the student's scores?
a) a substantial number of students had high scores
b)About an equal number of students had relatively high and relatively low scores
c)most had low scores
A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.
Correct answer will be b) About an equal number of students had relatively high and relatively low scores.
And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.
This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.
In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.
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Which angle number is supplementary to angle Answer:
Answer:
Angle 8
Step-by-step explanation:
Supplementary angles are angles that are equal to 180 degrees.
8) Circle each statement that is true
:-5>-8
-7>-4
-15-6
-32
3<-9
10 >8
A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feeds 14
people and a $12 sandwich tray feeds 6 people. How many pans of pasta and trays of sandwiches should the
caterer make?
2. The value of a baseball card in dollars has been found to be 0.42y+068, where y is
the number of years since it was released. By how much is the baseball card's value
increasing per year?
3. In the expression 300(2^t), what does 300 represent?
The rate of increase in the value of the baseball card per year is 0.42.
The value of a baseball card in dollars has been found to be 0.42y + 068, where y is the number of years since it was released. We need to find out by how much the value of the baseball card is increasing per year. Let the value of the baseball card be denoted by the variable "V".
V = 0.42y + 068
The value of the baseball card when it has been x years since it was released is : V1 = 0.42x + 068. The value of the baseball card when it has been (x + 1) years since it was released is : V2 = 0.42(x + 1) + 068.
The increase in the value of the baseball card per year is the difference in the values in any two consecutive years.
I = V2 - V1 = [0.42(x + 1) + 068] - [0.42x + 068] = 0.42
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Which expression is equivalent to 13 - (-21)
Answer:
It’d be 13+21 so
Step-by-step explanation:
34
Gabe is the human resources manager for the Advanced Scientific Research Lab. He has to record
the heights (in centimeters) and weights (in pounds) for each of the scientists in the lab.
Height distribution (cm): 178, 163, 174, 186, 154, 167, 167, 181, 159, 165, 177, 191, 158
Weight distribution (lbs): 157, 163, 190, 187, 183, 173, 184, 189, 193, 192, 177, 173, 168
What is the shape of the height and weight distribution?
Last option: The height and weight distributions, respectively, show positive and negative skews.
We know that,
Graphs are used to represent information in bar charts. To depict values, it makes use of bars that reach various heights. Vertical bars, horizontal bars, clustered bars (multiple bars that compare values within a category), and stacked bars are all possible options for bar charts.
we have,
There isn't a lot of data, but it shows that the weights have a negative skew and the heights have a positive skew, with the long tails pointing in opposite directions.
change/ starting point * 100
2.5 millions of books were sold in 1991.
Millions of books sold in 1992 equaled 3.4.
Change = 0.9 (in millions).
0.9/2.5 * 100
= 36%
The height and weight distributions, respectively, show positive and negative skews.
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30 POINTS!! Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.
Enter the answer as an equation.
please help me it is due today
Answer:
B
Step-by-step explanation:
A give me 2'zero
b give me 9'zero
c give 8'zero
d gives 5 zero
e give me 4'zero
for example it give me two zero it 100
or if five 5 zero it 100000
hope this helps