Answer:
m = 10
Step-by-step explanation:
Given w is inversely proportional to m then the equation relating them is
w = [tex]\frac{k}{m}[/tex] ← k is the constant of variation
To find k use the condition w = 8, m = 25 , then
8 = [tex]\frac{k}{25}[/tex] ( multiply both sides by 25 )
200 = k
w = [tex]\frac{200}{m}[/tex] ← equation of variation
When w = 20 , then
20 = [tex]\frac{200}{m}[/tex] ( multiply both sides by m )
20m = 200 ( divide both sides by 20 )
m = 10
The heights of a large population of ostriches are normally distributed. Which is the closest to the percentage of these heights that is within 3 standard deviations of the mean?
a. 95%
b. 99.7%
c. 0.3%
d. 5%
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that:
The heights of a large population of ostriches are normally distributed.
The percentage of these heights that is within 3 standard deviations of the mean
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question:
The height of a large population of ostriches is normally distributed.
So,
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
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An expression is written in the box.
x²+x-4
What is the value of this expression when x = -6?
0 -46
0 -35
O 26
38
Answer:
the solution to that is 26.
Answer:
26
Step-by-step explanation:
Substitute x = - 6 into the expression
x² + x - 4
= (- 6)² + (- 6) - 4
= 36 - 6 - 4
= 30 - 4
= 26
A gumball machine has 450 red gumballs. If the red gumballs are 75% of the total number of gumballs, how many gumballs are in the gumball machine?
Answer:
There are 600 gumballs
Can someone helpppp plssss
Answer:
angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees
Answer:
Step-by-step explanation:
Plz show your work.
Answer:
look at the picture i sent.......
Find the value of x so that the ratios 8: x and 12: 18 are equivalent.
Answer:
I could be wrong, but I think it's x=12
Answer:
Step-by-step explanation:
First let's set this into a proportion:
[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]
Hope this helps
Xian plans to run 14 laps around a track, each lap is 400 yards which would make his run a total of 5600 yards. So far Xian has run 1,680 yards around the track. What percentage of the run has Xian completed?
Answer:
4.2 laps
Step-by-step explanation:
because 4 laps is 1600+ the 80 which is a 1/5 of 400 causing it to be .2
solve for t i need help
[tex]4(t+\frac{1}{4})=3[/tex] distribute by multiplying 4 into the parenthesis.
[tex]4t+1 = 3[/tex]
[tex]-1[/tex] [tex]-1[/tex] subtract 1 on both sides, solve for 3 - 1, which is 2.
__________
[tex]\frac{4t}{4} =\frac{2}{4}[/tex] divide 4 on both sides.
[tex]t = \frac{2}{4}[/tex] simplify 2/4.
[tex]t = \frac{1}{2}[/tex] final answer
hope this helps :)
WILL GIVE BRAINLIEST TO THE FIRST NON JOKING ANSWER!!!! PLEASE HELP!!!
Twyla’s pet cat weighs 8 lb. Her pet hamster weighs 12 ounces. What is the ratio of her cat’s weight to her hamster’s weight? (16oz=1lb)
Answer:
32:3
Step-by-step explanation:
Half the number of guesses are
less than what number?
Answer:
C. 74
Step-by-step explanation:
add up all the numbers but not the value so you have 18 numbers. divide that by 2 and get 9. so 74 is between 73 and 78 so it divides the 18 numbers evenly into 9 and 9.
which angle is complementary to ∠4?
A magazine has 8 pages of reading for every 2 pages of advertisements. How many pages of reading does it have for 1 advertisement?
Answer:
4
Step-by-step explanation:
8/2=4
PLEASE ANSWER THIS FOR MEEEEE
Answer:
23°
Step-by-step explanation:
sin ∠N= OP/NO= 19/49
⇒∠N ≈ 23°
PLEASE HELP DUE AT MIDNIGHT
Answer:
D
Step-by-step explanation:
180-43=137
Answer:
180 - (43 + 56) = 81 (angle 1)
180 - 81 = 99 (angle 2)
180 - 56 = 124 (angle 3)
180 - 43 = 137 (angle 4)
Step-by-step explanation:
A preschool has a student-to-teacher ratio of 5:2 Which of the following ratios is equivalent to this ratio?
Answer:
10/4 or 15/6
Step-by-step explanation:
what is the relative frequency of 45
Answer:
The relative frequency of 45 is 1
Step-by-step explanation:
Can someone help me i will give extra points
For the top part, both equations are vertical angles, so both equations will equal the same angle.
(4 + 23x) = (24x)
4 + 23x = 24x
4 = 24x - 23x
4 = x
Plug in x = 4 into both equations.
4 + 23(4) = 24(4)
4 + 92 = 96
96 = 96
Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.
Answer: 96 degrees is the angle--------------------------------------------------------------------------------------------------------------
For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.
(x + 120) + (x + 80) = 180
x + 120 + x + 80 = 180
2x + 200 = 180
2x = 180 - 200
2x = -20 (don't worry about having a negative solution)
x = -10
Plug in x = -10 into both equations.
(-10) + 120 + (-10) + 80 = 180
110 + 70 = 180
180 = 180
Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.
Answer: Since the question asked to find a measure of the angle indicated in bold, the angle measure is 70 degrees.Item 11 Which points divide overline AB into segments with lengths in the ratios 1:3 or 3:1?
Answer:
(9, 2)
Step-by-step explanation:
What point divides the directed line segment AB¯¯¯¯¯ into a 3:1 ratio?
coordinate plane with segment A B with A at (0, 2) and B at (12, 2)
(3, 2)
(4, 2)
(8, 2)
(9, 2)
Solution:
If point O(x, y) divides the line segment AB with endpoints A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio n:m, the coordinates of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
Let us assume C(x, y) is the point that divides segment A B with A at (0, 2) and B at (12, 2) in the ratio 3 : 1. Hence:
[tex]x=\frac{3}{3+1}(12-0)+0=\frac{3}{4}(12)=9 \\\\y=\frac{3}{3+1}(2-2)+2=\frac{3}{4}(0)+2=2[/tex]
Therefore the coordinate of point C is at (9, 2).
PL Z HELP 30 points brainliest
Kenneth sold $26,000 worth of computers in eight days. At this rate, how many dollars worth of computers can he sell in 10 days?
Answer:
$32500
Step-by-step explanation:
26,000/8=3250
325010x10=32500
The diagonal of a rectangle is 13 units. One side of the rectangle is 12 units. Find the length of the shortest side of the rectangle.
Answer:
Diagonal of the rectangle = 13 units c =13
side of rectangle = 12 units a = 12
area of the rectangle = l× b
In rectangle all the corner angle is 90 degree. A diagonal of the rectangle forms two right angle.so we use Pythagoras theorem.
formula ; a²+b²=c² a = 12 , c = 13
12²+b² = 13²
144 + b² = 169
b² = 169 - 144
=25
b = 5 units
a = 12 units
Step-by-step explanation:
Sam borrows from the bank $12,000 to buy a car paying in simple interest $ 2,844 per year. Sam paid the loan in 3 years, what is the annual interest rate on the loan?
Answer:
3,468
Step-by-step explanation:
i multiplied 2,844 by 3 and got 8,532 i then subtracted that from 12,000 and got 3,468
HELPPP PLEASE nearest tenth
Answer:
8.8
Step-by-step explanation:
Kishany is investing in a savings account that earns 3.85% interest compounded annually. How much will Kishany have in the account at the end of the 3rd year if she deposits $600 in the account?
a
$2,310
b
$672.00
c
$558.38
d
$669.30
Answer:
The amount in the account after 3 years is $672.00
Step-by-step explanation:
Here, we want to use the compound interest formula
A = P(1 + r/n)^nt
A is the amount in the account after the given time
P is the principal which is the deposit amount = $600
r is the interest rate = 3.85% = 3.85/100 = 0.0385
n is the number of times interest is compounded yearly (since it is annually, n = 1)
t is the time in years = 3
Substituting these values;
A = 600(1 + 0.0385/1)^(3 * 1)
A = 600(1.0385)^3
A = $672
STEP BY STEP EQUATION PLZ!
Mitch and Tom are playing a video game. Mitch has eight less than triple the points that Tom has. If Mitch has 79 points, how many points does Tom have?
Answer: 23 2/3 points
Step-by-step explanation:
First, we can set up an equation where Mitch's points are equal to m and Tom's are equal to t.
We can say that 79=3t-8. Next, we can subtract 8 on each side to get 71=3t. Then, we can divide by 3 to get that Tom has 23 2/3 points.
find the total surface area of this cone
Answer:
Step-by-step explanation:
3.14*10*(10+24^2+10^2 squared)
31.4*5870 squared
31.4*76.62
240.5554
I don't know if this is right
Someone plz help me giving brainliest!
Answer:
the estimate is : 39 7/32
the answer is : 46 9/35
A doctor took a random sample of n=6n=6n, equals, 6 patients to see how long they each spent in the waiting room. She wants to construct a ttt interval for the mean waiting time with 99\%99%99, percent confidence. The times in the sample were roughly symmetric with a mean of \bar x=8.5 x ˉ =8.5x, with, \bar, on top, equals, 8, point, 5 minutes and a standard deviation of s_x=2.8s x =2.8s, start subscript, x, end subscript, equals, 2, point, 8 minutes. What critical value t^*t ∗ t, start superscript, times, end superscript should she use? Choose 1 answer:
Answer:
4.032
Step-by-step explanation
Khan Academy
To find the critical value t^*t ∗t, start superscript, times, end superscript for a t-interval with 99% confidence and n=6, we need to use a t-distribution with degrees of freedom df=n−1=6−1=5.
What is t-distribution table?A t-distribution table is a table that lists critical values for the t-distribution.
The t-distribution is a probability distribution that is used in hypothesis testing when the sample size is small or when the population standard deviation is unknown. The table lists critical values for various levels of significance and degrees of freedom.
Using a t-distribution table or calculator with 5 degrees of freedom and a 99% confidence level, we find the critical value t^*t ∗t to be approximately 4.032.
Therefore, the doctor should use t^*t ∗t = 4.032 for constructing the t-interval for the mean waiting time.
Learn more about t-distribution at:
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what is the value of ( 7 plus 2 cubed) x 9
Answer:
135
Step-by-step explanation:
[tex](7 + 2 {}^{3} ) \times 9 \\ = (7 + 8) \times 9 \\ = 15 \times 9 \\ = 135[/tex]
Answer:
135
Step-by-step explanation:
2 cubed=8
8+7=15
15x9=135
A polynomial function has zeros -1, 2, and 7 (all multiplicity 1). Write a function in standard form that could represent this function.
Answer:
x^3-8x^2+5x+14
Step-by-step explanation:
(x+1)(x-2)(x-7)
x^3-8x^2+5x+14
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture
Step-by-step explanation:
step 1: I am going to convert the measurements
into decimals
8/5=1.6
2/5=.4
step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour
1.6=.4
1=?
1*.4=.4/1.6=.25
step 3: I will convert .25 into a fraction
.25=1/4
for every 1/4 pound pumpkin, I will use 1 pound of flour
which is why
If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture