Answer:
The value of x is 8 .
Step-by-step explanation:
It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .
As EF, GH, RS and NP are in proportion
So,
EF : GH = RS : NP
[tex]\frac{x}{x+6}=\frac{16}{28}\\\\7 x = 4 (x + 6)\\\\7 x = 4 x + 24 \\\\3 x = 24 \\\\x = 8[/tex]
What is the measure of ABC in the figure below?
Any help? Khan Academy question
Answer:
1.6<x<9.6
Step-by-step explanation:
Triangle says the sum of any 2 sides is bigger than the third.
Assume a,b,c are side measurements of a triangle.
So if you know two sides a and b then the third number, c, is such that |b-a|<c<a+b.
So just add the given numbers and find the positive difference.
5.6+4=9.6
5.6-4=1.6
Which of the following points lies on the graph of the equation y = 2x +5.
(2, 7)
(4, 9)
(0, 2)
(2, 9)
A radioactive material has a half-life of 1 day. The material decays according to the equation M = 1000(1/2)^t. Mass M is measured in grams and time t is measured in days.
a) What is the mass of the sample after 1 day? 2 days? 10 days?
b) Use a calculator with an exponent key to compute the mass of the
sample after 1 year. Explain what the answer means.
I literally have no idea how to do this
Answer:
A) 1 day=500, 2 day=250, 10 days=0.9765
B) 1 year=365 days, 1000*(1/2)^(365)=1.33*(10)^(-107)
Can somone help me pls
Answer:
Step-by-step explanation:
The table below shows the estimated number of customers that are subscribed to a streaming service between 2013 and 2017. The equation y=95,000(1.2)x describes the curve of best fit for the subscribed customers (y). Let x represent the number of years since 2013.
Year Subscribed Customers
2013 95,000
2014 114,000
2015 136,800
2016 164,160
2017 196,992
Using this equation, what is the approximate predicted number of subscribed customers in the year 2025?
A
236,390
B
847,030
C
1,016,435
D
1,368,000
Answer:
B847,030
Step-by-step explanation:
y=95,000(1.2)^x
2025 - 2013 = 12
y=95,000(1.2)^12
y=847029.54258
Simplifying Please Help!
Answer: C. 6x+18
Step-by-step explanation:
Use the distributive property
First multiply 6 times x which is 6x
Then multiply 6 times 3 which is 18
Keep the sign the same
Therefore, this should give you 6x+18
Applying a Level of Significance
In this task, you’ll study the data from two experiments. For each data set, you will determine whether the difference of means between the treatment group and the control group is statistically significant and interpret the result in the context of the situation.
Question 1
Researchers want to find a way to increase the growth rate of corn so it can be harvested more often. To test the effectiveness of a new type of spray fertilizer, plants grown from 200 corn seeds were divided equally into two groups: a treatment group and a control group. The treatment group was frequently sprayed with the new type of fertilizer. The growth in centimeters of each corn plant was noted before and after the treatment.
The results showed that the mean change in the growth rate by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.
Consider the significance level to be set at 5%, so results less than 5% can be considered statistically significant.
The calculation of the probability and interpretation of the difference in mean and the relation to level of significance between and the treatment and control groups are as follows;
Question 1; Part A
The probability that the treatment group mean is greater than the control group mean by 8 points or more is 3.6%
The completed statement is as follows;
The significance level is set at 5%, and the probability of the result is 3.6%, which is lower than significance level. The result is statistically significant
Part B
The result is statistically significant, which implies that spraying the corn plant with the new type of fertilizer does increase the growth rate
Question 2; Part A
The probability of the treatment group mean is lower than the control group mean by 15 points or more is 7.8%
The completed statement is as follows;
The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is not statistically significant
Part B;
The result is not statistically significant which implies that wearing a watch does not make people manage their time better
The reason for the above solutions is as follows;
Question 1;
The known parameters;
The significance level of the test, α = 5%
The frequencies of the difference in mean between the treatment and control groups given in the table
The number of randomizations, ∑f = 1,000
The required parameter
The probability of the treatment group mean is greater than the control group mean by 8 points or more
The significance of the result
The comparison between the given level of significance and the probability
Method
We find the probability for the required difference in mean from the data given in the table
The probability that the treatment group mean is greater than the control group mean by 8 points or more is given by the following formula;
[tex]\mathbf{P(8 \ or \ more) = \dfrac{\sum f(8 \ or \ more)}{\sum f}}[/tex]
From the table, we have;
∑f(8 or more) = 26 + 8 + 2 = 36
∑f = 1 + 10 + 28 + 58 +...+ 114 + 57 + 28 + 8 + 2 = 1,000
Therefore;
[tex]P(8 \ or \ more) = \dfrac{36}{1,000} = 0.036 = 3.6\%[/tex]
The probability, P(8 or more) 3.6%
Given that the significant level, α = 5% is higher than the probability of 3.6%, the result is statistically significant
Part B
The true statement is that the result is statistically significant, which implies that spraying the corn plant with the new type of fertilizer does increase the growth rate
Question 2;
The known parameters are;
The significance level of the test, α = 5%
The frequencies of the difference in mean between the treatment and control groups given in the table
The number of randomizations, ∑f = 1,000
The required parameter
The probability of the treatment group mean is lower than the control group mean by 15 points or more
The significance of the result
The comparison between the given level of significance and the probability
Method
Using the method from Question 1, we have;
Part A
[tex]\mathbf{P(15 \ or \ more) = \dfrac{\sum f(15 \ or \ less)}{\sum f}}[/tex]
From the table, we have;
∑f(15 or more) = 50 + 18 + 10 = 78
∑f = 10 + 18 + 50 + 127 + 195 + 226 + 180 + 117 + 48 + 17 + 12 = 1,000
Therefore;
[tex]P(15 \ or \ more) = \dfrac{78}{1,000} = 0.078 = 7.8\%[/tex]
The probability, P(15 or more) = 7.8%
Given that the significant level, α = 5% is lower than the probability of 7.8%, the result is not statistically significant
Therefore, we have;
The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is not statistically significant
Part B
The true statement is that the result is not statistically significant which implies that wearing a watch does not make people manage their time better
Learn more about hypothesis testing here;
https://brainly.com/question/4232174
Question 1;
Part A
The significance level is set at 5%, and the probability of the result is 3.6%, which is less than the significance level. The result is statistically significant
Part B
A) The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Question 2;
Part A
The significance level is set at 5%, and the probability of the result is 7.8% which is higher than the significance level. The result is NOT statistically significant
Part B;
B) The result is not statistically significant, which implies that wearing a watch does not help people manage their time better.
solve the equation 3(17x-6.5)=108
a. x=-1.5
b. x=2
c. x=2.5
d. x=5.2
Answer:
C
Step-by-step explanation:
3(17x-6.5) =108
=17x-6.5=36
=17x =36 +6.5
= 17x=42.4
=x =2.5
Answer:
x= 2.5
Step-by-step explanation:
3(17x-6.5)=108
Divide each side by 3
3/3(17x-6.5)=108/3
17x - 6.5 = 36
Add 6.5 to each side
17x-6.5+6.5=36+6.5
17x = 42.5
Divide by 17
17x/17 = 42.5/17
x= 2.5
Find the sum of all the numbers between 100 and 200 which are divisible by 7.
Answer:
2107
Step-by-step explanation:
In this type of question we have to follow these steps
1) Find the biggest number in interval which is divisible by seven
For this question it is 196
2)Find the smallest number in interval which is divisible by seven
For this question it is 105
3) Then subtract 105 from 196
196-105=91
4) Divide 91 by seven
91:7=13
5)Lastly we have to add 1 to the 13
13+1=14
So we found that we have 14 different numbers that divisible by seven in this interval. So next steps will be about sum of them
To find them sum we have a formula:
(biggest number + smaller number) x number of terms / 2
(196+105) x 14 /2 = 2107
The area CA) of a Parallelogram is found by using this formula A = BH What is the area when b is 7cm and h is 3cm?
Answer:
Area of parallelogram = 21
Step-by-step explanation:
A = BH
Plug in
A = 7×3
Solve
A = 21
The answer will be 21.
Determine the value of k if 12x2 + kx/ 4x= 3x – 5.
Answer:
k = -20.
Step-by-step explanation:
Do the division:
4x ) 12x^2 + kx ( 3x
12x^2 + k/4
So k/4 = - 5
k = -20.
I need help ASAP!! PLEASE EXPLAIN YOUR ANSWER
Answer:
Step-by-step explanation:
Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).
Answer:
-3
Step-by-step explanation:
for this function you have to replace -1 were there's x in the function h(x)=2x-1
h(-1)=2(-1)-1
=-2-1
=-3
hope this helps
Ngoài hình tròn thì Hình nào có vô số trục đối xứng
Answer:
Step-by-step explanation:
what
Answer:
that language is this
Step-by-step explanation:
One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?
Answer:
8 inches
Step-by-step explanation:
A rhombus is a four sides quadrilateral with the four sides equal in length
A rhombus has 4 equal sides and the diagonal bisect at right angles
Adjacent sides = 9/2 = 4.5
we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54
Cos 54 = adjacent / hypotenuse
0.58778 = 4.5 / hypotenuse
hypotenuse = 4.5 / 0.58778
=7.6559
= 8 inches
can you please tell me the answer I don't know
Answer:
1)
=6-15+7
=6-22
=-16 answer
2)
=7×40/5
=Then,7×8
=56 answer
Topic: Differential Calculus; limit of a function
Answer:
umm answer is 3 i think is this right?
0
Which value of x satisfies the equation
Answer:
Does the answer help you?
[tex]\frac{3^4}{3^2}[/tex]
Simplify.
Answer:
[tex]9[/tex]
Step-by-step explanation:
Recall the exponent property [tex]\frac{a^b}{a^c}=(a)^{b-c}[/tex].
Therefore, simplify:
[tex]\frac{3^4}{3^2}=3^{4-2}=3^2=\boxed{9}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]9[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\\frac{3^4}{3^2}\\------------\\\text{Keep in mind: } \frac{m^a}{m^b} = m ^{a-b}\\\\\rightarrow \frac{3^4}{3^2}\\\\\rightarrow 3^{4-2}\\\\\rightarrow 3^2\\\\\rightarrow 3 * 3\\\\\rightarrow \boxed{9}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Given f(x) = - 3/4x + 2, find f(16).
Answer:
-10
Step-by-step explanation:
Y'ALL PLEASE HELP ME I WOULD GREATLY APPRECIATE IT!!!!!:)!!!!!!
Find the measure of angle TOS in the figure below. SHOW YOUR WORK SO I CAN SEE HOW YoU GOT IT!!!!
Step-by-step explanation:
<TOS=122° [being vertically opposite angle]
Answer:
angleTOS =122°
EXPLANATION:
[ If two straight lines intersect at point O, vertically opposite angles are equal]As vertically opposite angles are equal; Hence AngleTOS=QOR=122°
The graph of the invertible function g is shown on the grid below.
What is the value of g^-1(-8)
=======================================================
Explanation:
The result of [tex]g^{-1}(-8)[/tex] is the same as trying to find x in [tex]g(x) = -8[/tex]
Draw a horizontal line through -8 on the y axis. This horizontal line intersects the curve at point P. From point P, move upward until you reach the x axis. You should get to 7 on the x axis. Therefore, the solution to [tex]g(x) = -8[/tex] is [tex]x = 7[/tex]. In other words, [tex]g(7) = -8[/tex]. This ultimately means [tex]g^{-1}(-8) = 7[/tex]
Refer to the diagram below.
On a piece of paper, graph y= see pic
Answer:
a
Step-by-step explanation:
assuming theyre asking you to graph y = (x-2)(x+3) -cant see the signs in your photo
the x-intercepts would be 2 and -3 , so option a!
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
C
Step-by-step explanation:
4x+1+8-x+5x-2=23 linear equations
Step-by-step explanation:
= 4x-x+5x+1+8-2
=8x+7
proved##
please answer this question
10. The slope of the line passing through (3, 3)
and (-3, 3) is:
Answer:
0
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= (3-3)/(-3-3)
= 0/-6
=0
Answer:
m = 0
Step-by-step explanation:
Use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
[tex]\frac{3-3}{3-(-3)}\\\\ \frac{0}{6}\\\\0[/tex]
Therefore, the slope of the line is 0.
*Note that if the y values do not change as x changes, it is evidence that the slope is 0.*
Help please............./..
Answer:
D
Step-by-step explanation:
At Tubman Middle School, there are 6 English teachers and 5 science teachers. If each
student takes one English class and one science class how many possible combinations of
teachers are there?
There are 30 possible combinations of teachers.
Given that at Tubman Middle School, there are 6 English teachers and 5 science teachers, to determine, if each student takes one English class and one science class, how many possible combinations of teachers are there, the following calculation must be performed:
To calculate possible combinations, the number of options A must be multiplied by the number of options B. Thus, the calculation would be as follows.
6 x 5 = X30 = XTherefore, there are 30 possible combinations of teachers.
Learn more about combinations in https://brainly.com/question/24180105.