Answer:720
Step-by-step explanation:Now let's imagine we are filling them with letters. There are six places we can put the first letter, so after we've placed one letter, we have six different outcomes.
There are then five remaining gaps for the second letter, so we have 5*6=30 different outcomes after two letters.
There are four spaces for the third letter, three for the fourth letter, two for the fifth letter and finally we have to put the sixth letter in the remaining gap.
So we end up with 6*5*4*3*2*1=720 ways to arrange six different letters.
This is called the factorial function, and is denoted by an exclamation mark. The factorial function is defined as the number of ways to arrange n different options and is calculated as n! = 1*2*3*…*(n-1)*n, with a extra bit that 0!=1 as there is one way to arrange a set of 0 objects (this comes into play later in statistics).
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.
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.
please help i’ll give brainliest
Answer: D
Step-by-step explanation:
Substitute values for x until they all work.
A. y = 2 x 2 + 5 = 9 fail
B. y = 2 x 2 - 6 = -2 fail
C. y = -2 x 2 - 5 = -9 fail
D. y = -0.5 x 2 - 5 = -6 ok
y = -0.5 x 5 - 5 = -7.5 ok
y = -0.5 x 6 - 5 = -8 ok
A hill rises from 100 m to 175 m over
a horizontal distance of 300 m. What
is the percent slope of the hill?
20 pts
Answer:
25%
Step-by-step explanation:
slope = (175-100)/300 = 75/300 = ¼
the percent slope = ¼×100%= 25%
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:
Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(4-2)
(8.2)
(-16-17)
(-1.-8)
(-40,-34)
What is an angle that is supplementary to HDI?
Answer:
hde
Step-by-step explanation:
they both add up to 180 since they're both on line BI
Answer:
<EDH
Step-by-step explanation:
When two angles are supplementary they sum to 180. This means together they form a straight line. So, to find the answer find the angle that connects to <HDI to create one straight line. In this case, that is <EDH because line EI is straight and the two aforementioned angles are the ones that create the line.
helppp mee nowww plssss
Answer:
the answer is D, Mars is one of the smallest planets
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.
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.
What is 3/7 + 2 1/4?
Answer:
2 19/28 or 75/28
Step-by-step explanation:
Find common denominators then add, simplify if needed.
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.
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
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%
Solve the simultaneous equations
3x + 5y = 21
3x – y=3
Answer:
Using substitution method
x=2
y=3
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:
Due in 10 min help!
Find t.
Given:
A right angle triangle with angles 45, 45, 90 degrees.
Hypotenuse of the triangle = [tex]7\sqrt{2}[/tex] mm
Base of the triangle = t
To find:
The value of t.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Using this trigonometric ratio in the given triangle, we get
[tex]\cos (45^\circ)=\dfrac{t}{7\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{t}{7\sqrt{2}}[/tex]
[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=t[/tex]
[tex]7=t[/tex]
Therefore, the value of t is 7 millimetres.
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
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.
if it was quarter to five an hour and twenty-five minutes ago, what is the time now?
Edgar accumulated $1,000 in credit card debt. If the interest is 10% per year and he does not make any payments for 4 years, how much will he owe on this debt in 4 years by compounding continuously?
Provide your answer below:
A= $ __
Write the equation of a line in slope-intercept form that has a slope of -5 and passes through the point (3,- 2)
9514 1404 393
Answer:
y = -5x +13
Step-by-step explanation:
We know from the slope-intercept equation ...
y = mx + b
that the y-intercept b can be found as ...
b = y - mx
Filling in the given values of m and (x, y), we find ...
b = -2 -(-5)(3) = 13
Then the equation is ...
y = -5x +13
75 POINTS!!! PLEASE ANSWERl
The average size of a pair of women's shoes sold at a shoe store is size 8, with a standard deviation of 1.5
sizes. If the sizes are normally distributed, what is the percentile rank of at least a size 9. Go to z-table.com
Answer:
75%Step-by-step explanation:
Find z-score:
z = (9 - 8)/1.5 ≈ 0.67Get the rank from the z-table:
0.7486 ≈ 75%Helppppppppppppppppppppppppppp
Answer:
20 inches
[tex]c = \sqrt{12 ^{2} + 16 ^{2} } \\ c = \sqrt{400} \\ c = 20[/tex]
PLS BELP I DONT HAVE MUCH TIME!!!
Answer:
I'd say A or D but I have a feeling it's A
pls help i’ve been stuck on this question ‼️
need help asappppppp
Answer:
what do you need help with
Step-by-step explanation:
in order for me to answer you need to pit the problem
a group of students was asked about the number of emails they each sent that day the results are 0,0,1,2,3,4,5,6,6,7,8,8,8,9 i will post the other half now
Answer:
D
Step-by-step explanation:
All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)
Answer:
D is the answer
Step-by-step explanation:
All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)
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)
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: