Answer:
1.77 percent increase
The list of numbers shows the ages of six people on a bowling league. 50, 55, 57, 49, 44, 51. Find the mean absolute deviation of the values.
Answer:
3.333333333
Step-by-step explanation:
how many terms of AP - 6. - 11 by 2 .minus 5 are needed to be the sum -25
Given:
The terms of a sequence are:
[tex]-6,-\dfrac{11}{2},-5[/tex]
To find:
The number of terms whose sum is -25.
Solution:
We have, the given sequence:
[tex]-6,-\dfrac{11}{2},-5[/tex]
Here, the first term is -6.
[tex]-\dfrac{11}{2}-(-6)=-5.5+6[/tex]
[tex]-\dfrac{11}{2}-(-6)=0.5[/tex]
Similarly,
[tex]-5-(-\dfrac{11}{2})=-5+5.5[/tex]
[tex]-5-(-\dfrac{11}{2})=0.5[/tex]
The difference between consecutive terms are same. So, the given sequence is an arithmetic sequence with common difference 0.5.
The sum of n terms of an arithmetic sequence is:
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Where, a is the first term, d is the common difference.
Putting [tex]S_n=-25,a=-6,d=0.5[/tex], we get
[tex]-25=\dfrac{n}{2}[2(-6)+(n-1)0.5][/tex]
[tex]-50=n[-12+0.5n-0.5][/tex]
[tex]-50=-12.5n+0.5n^2[/tex]
[tex]0=0.5n^2-12.5n+50[/tex]
Splitting the middle term, we get
[tex]0.5n^2-2.5n-10n+50=0[/tex]
[tex]0.5n(n-5)-10(n-5)=0[/tex]
[tex](0.5n-10)(n-5)=0[/tex]
Using zero product property, we get
[tex](0.5n-10)=0[/tex] and [tex](n-5)=0[/tex]
[tex]n=\dfrac{10}{0.5}[/tex] and [tex]n=5[/tex]
[tex]n=20[/tex] and [tex]n=5[/tex]
Therefore, the sum of either 5 or 20 terms is -25.
Use distributive property to write an equivalent expression.
4(6a+4g)
please help me. ! No links or files ! please and thank you.
Answer:
Step-by-step explanation:
Triangle FGH has vertices F(1, –5), G(6, 0), and H(1, 0). What is the approximate perimeter of this triangle?
Two lines, A and B, are represented by equations given below:
Line A: y = x − 2
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
Group of answer choices:
A) (−3, −5), because the point does not lie on any axis
B) (−3, −5), because the point satisfies both equations
C) (−4, −8), because the point satisfies one of the equations
D) (−4, −8), because the point lies between the two axes
f(x) = x3 If x = −2, y =
Answer:
-8
Step-by-step explanation:
x=-1, y=-1
x=0, y=0
Graph D (fourth option)
14 more than 5 times a number is equal to 20. find the number
Answer:
6/5
Step-by-step explanation:
5x + 14 = 20
Subtract 14 from 20
5x = 6
Divide both sides by 5
x = 6/5
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
75
Step-by-step explanation:
Answer:
75 km
Step-by-step explanation:
Use the Pythagorean Theorem
c² = a² + b²
c² = = 72² + 21²
c² = 5,184 + 441
c² = 5,625
Take the square root of both sides
c = 75 km
khan academy Find the median of the data in the dot plot below. chocolate chips
Answer:
Where's the picture?
Step-by-step explanation:
Can't see it.
helppp mee nowww plssss
Answer:
the answer is D, Mars is one of the smallest planets
There is concern that increased industrialization may be increasing the mineral content of river water. Ten years ago, the silicon content of the water in a certain river was 5 mg/L. Eighty-five water samples taken recently from the river have mean silicon content 5.4 mg/L and standard deviation 1.2 mg/L. a. Find the P-value. b. Do you believe it is plausible that the silicon content of the water is no greater than it was 10 years ago
Answer:
a) P value = 0.0013
b) No, it is not plausible that the silicon content of the water is no greater than it was 10 years ago
Step-by-step explanation:
The null hypothesis here is “Mean is equal to 5” while alternate hypothesis is that “Mean is greater than 5”
Given
Mean = 5, x’ = 5.4 and sigma = 1.2 and n = 85
Z = x-u’/sigma/sqrt n
Substituting the given values, we get –
Z = 3.02
A) P value = 0.0013 which is less than 0.05 and thus we will reject the null hypothesis
B) There is enough evidence to reject the null hypothesis
I’m stuck, help would be nice :D
Answer:
-14
Explanation:
3 x -3 - 5 = -14
Answer:
-14, -5, 4, and 13
Step-by-step explanation:
For each x value, substitute it for x in the equation.
For the first one where x = -3,
y = 3(-3) - 5
y = -9 - 5
y = -14
So the first one is -14. The next x value is 0
y = 3(0) - 5
y = 0 - 5
y = -5
Second one is -5. The next x value is 3
y = 3(3) - 5
y = 9 - 5
y = 4
Third is 4. The next x value is 6
y = 3(6) - 5
y = 18 - 5
y = 13
So the last one is 13.
How to find an equation for a line through two given points?
Answer:
The equation of the line is: [tex]y = 0.6x + 0.6[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Two points:
We have these following two points in this exercise:
x = -6, y = -3, so (-6,-3)
x = 4, y = 3, so (4,3)
Finding the slope:
Given two points, the slope is given by the change in y divided by the change in x.
Change in y: 3 - (-3) = 3 + 3 = 6
Change in x: 4 - (-6) = 4 + 6 = 10
So
[tex]m = \frac{6}{10} = 0.6[/tex]
Then
[tex]y = 0.6x + b[/tex]
Finding b:
We replace one of the points in the equation to find b. I will use (4,3).
[tex]y = 0.6x + b[/tex]
[tex]3 = 0.6*4 + b[/tex]
[tex]2.4 + b = 3[/tex]
[tex]b = 0.6[/tex]
The equation of the line is: [tex]y = 0.6x + 0.6[/tex]
Help ASAP Answer only if you know if you put links I will report
Answer: It is a reflection over the x axis!
Step-by-step explanation: The x axis is the horizontal line, so you reflect it over there. It is a reflection because you didn't rotate it, and you didn't translate it. You reflected the coordinates to the other side.
Can someone please tell me the answer
Answer:
E, 5, 3
Step-by-step explanation:
We just need to connect the rectangle with dots equally placed.
A lumber company is making boards that are 2578.0 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 20 boards is made, and it is found that they have a mean of 2580.2 millimeters with a variance of 64.00. Is there evidence at the 0.1 level that the boards are either too long or too short?
1. State the hypotheses.
2. Find the value of the t test statistic.
3. Specify if the test is one-tailed or two-tailed.
4. Determine the decision rule.
5. Determine the conclusion.
A) Reject Null Hypothesis
B) Fail to Reject Null Hypothesis
Answer:
-0.750
Step-by-step explanation:
Helppppppppppppppppppppppppppp
Answer:
20 inches
[tex]c = \sqrt{12 ^{2} + 16 ^{2} } \\ c = \sqrt{400} \\ c = 20[/tex]
step by step pls not only one thing
9514 1404 393
Answer:
C
Step-by-step explanation:
These are not line plots; they are dot plots. Each dot (×) represents one data point. The dot is placed above the corresponding value on the horizontal axis. There are 7 data points, so should be 7 dots. 3 of the data points are 3/4 hour.
Only plots C and D show 7 data points. Only plot C shows three of those data values being 3/4 hour. Plot C is the correct choice.
y= 2x + 7 (List 4 Ordered Pairs for the equation) 1 points each
Answer:
(1,9), (2,11), (3,13) (4,15)
Step-by-step explanation:
When u plug in those numbers for your x values, you get those numbers for the y values.
Seven television sets are chosen at random (i.e without replacement) from a shipment of 240 television sets of which 15 are defective. Calculate the probability that at least 1 of the chosen televisions are defective
Answer:
7/16
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Proportion of defective televisions in the shipment = 15/240 = 1/16
Probability that 1 of the 7 chosen is defective = 1/16 x 7 = 7/16
Watch help video
If p and q vary inversely and pis 11 when q is 18, determine q when p is equal to 9.
Answer:
q = 22
Step-by-step explanation:
Given that,
p and q are inversely proportional to each other i.e.
[tex]p=\dfrac{k}{q}[/tex]
Put p = 11 and q = 18
So,
[tex]11=\dfrac{k}{18}\\\\k=11\times 18\\\\k=198[/tex]
Now put k = 198, p = 9 and find q. So,
[tex]q=\dfrac{k}{p}\\\\q=\dfrac{198}{9}\\\\q=22[/tex]
Hence, the value of q is equal to 22.
Can y’all help me on question 11?!
Answer:
B and D
Step-by-step explanation:
B.
5 x 9 + 7 = 52
45 + 7 = 52
52 = 52
D.
6 x 9 + 4 = 58
54 + 4 = 58
58 = 58
Henry believes that if you square the expression x^4 The result will be x^16. Is Henry correct? (Help please)
A lab technician mixes a 10% acid solution with a 50% acid solution to create 40 ml of a 40%
solution. How much of each solution must be used?
Answer:
10 ml of 10%
30 ml of 50%
Step-by-step explanation:
x = amount of 10%
40 - x = amount of 50%
-------------------------------------
10x + 50(40 - x) = 40(40)
10x + 2000 - 50x = 1600
-40x + 2000 = 1600
-40x = -400
x = 10 ml of 10%
40 - x = 30 ml of 50%
Write 1 6/7 as an improper fraction.
Answer:
13/7
Step-by-step explanation:
multiply the 7 x 1 then add 6. 13 would be the numerator.
mark me brainliest please
Which equation should be used to find the volume of the figure?
12 cm
13.cm
6 cm
10 cm
Answer:
O V=3(10XB)(12)
Step-by-step explanation:
About 25% of the students in Mr. Goodman's Clas got an A on their last math test. Of those, 50% are girls. The class has 12 girls and 16 boys. Is it reasonable to say 6 girls got an A on the test?
A) No, because 6 is not 25% of 28
B) No, because 6 girls is 50% Of all the girls in the class, and not all girls got A’s
C) Yes, because 50% of 12 is 6
D) Yes, because more girls than boys got A’s
Answer:
Hello, the answer is 6, C.
Step-by-step explanation:
50 percent of 12 is 6.
The school cafeteria offers three choices for the main course (peanut
butter and jelly sandwich, burrito, or fish sticks) and two choices for the
side dish (vegetables or potatoes) and three choices for the dessert (ice
cream, brownie, or cookies). How many different combinations can the
students order from these choices?
Answer: 18 different combinations
Step-by-step explanation: When finding out combinations, you just multiply all the numbers. In this case, it would be 3x2x3 which equals 18. Please mark brainliest <3
The vertex form of the equation of a parabola is y = 7(x-3)2 + 4. What is the standard form of the equation?
A. y = 7x2 - 42x+67
B. y = 7x2 - 6x + 22
C. y = 14x2 - 6x + 22
D. y = 14x2 - 12x + 44
Answer:
the standard form of the equation is: a. y=7x^2-42x+67
At Color City Art Supply, Regan is deciding which painting kit to buy. She typically uses acrylic paints but is thinking of starting a small watercolor project soon. The Deluxe Painter kit has 12 acrylic paints and 24 watercolor paints. The Traveling Painter kit has 8 acrylic paints and 16 watercolor paints. Do the kits have the same ratio of acrylic paints to watercolor paints?
Answer:
honestly I really don't know but I think it is 12 colers
Answer:
Yes,the kits have the same ratio of acrylic paints to watercolor paints.
Step-by-step explanation:
12:24
12÷12=1
24÷12=2
1:2
8:16
8÷8=1
16÷8=2
1:2