Find the missing height.
units Plss help
Answer:
6
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = 5*h
30 = 5h
Divide each side by 5
30/5 =5h/5
6 =h
The formula for the area of a parallelogram is A = bh.
Since we know the parallelogram has an area of 30 units and a height of 5 units, we can plug this information into the formula to get 30 = 5h.
Now, dividing both sides of the equation by 5, we find that 6 = h.
So the height of this parallelogram is 6 units.
Drag each tile to the correct box. Not all tiles will be used.
Arrange the equations in the correct sequence to find the inverse of f(x) = y = 3x / 8 + x
Answer:
Inverse of f(x)
[tex]f^{l} (x) = \frac{8 x}{3-x}[/tex]
Step-by-step explanation:
Explanation:-
Step(i):-
Given the function
[tex]f(x) = \frac{3 x}{8+x}[/tex]
Given function is one-one and onto function
Hence f(x) is bijection function
[tex]y = f(x) = \frac{3 x}{8+x}[/tex]
now cross multiplication, we get
( 8+x)y = 3 x
8 y + x y = 3 x
8 y = 3 x - x y
taking Common 'x' we get
x (3 - y) = 8 y
[tex]x = \frac{8 y}{3-y}[/tex]
Step(ii):-
The inverse function
[tex]x = \frac{8 y}{3-y} = f^{l}(y)[/tex]
The inverse function of x
[tex]f^{l}(x) = \frac{8 x}{3-x}[/tex]
Final answer:-
Inverse of f(x)
[tex]f^{l} (x) = \frac{8 x}{3-x}[/tex]
Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of
modeled by the function r(s)=315, where sis time in seconds.
The area of the spill when s=5 seconds is
1 square inches.
Reset
Reset
Next
Next
Answer:
[tex]45\pi$ square inches[/tex]
Step-by-step explanation:
The radius, r of the expanding circle of oil is modeled by the function:
[tex]r=3\sqrt{s}[/tex] , where s is time in seconds.
When s=5
Radius [tex]r(5)=3\sqrt{5}$ inches[/tex]
Area of a circle [tex]=\pi r^2[/tex]
Therefore, the area of the oil spill when s=5 seconds
[tex]=\pi* (3\sqrt{5})^2\\=45\pi$ square inches[/tex]
The area of the spill when s=5 seconds is 45pi square inches.
what does 1 1/2+ 2/3+3/4 equal
Answer:
2 11/12
Step-by-step explanation:
1 1/2+ 2/3+3/4
The common denominator is 12
1 1/2*6/6+ 2/3*4/4+3/4*3/3
1 6/12 + 8/12 + 9/12
Add together
1 +23/12
1+12/12 +11/12
1+1+11/12
2 11/12
A certain game consists of rolling a single fair die. If a four or five comes up, you win 10 dollars; otherwise, you lose 5 dollars. Find the expected winnings for this game. Is this a fair game?
Answer:
no this game is not fair due to the fact that u have a 2/6 chance to win
24 students in a class took an algebra test. If 18 students passed the test what percent passed?
Answer:75%
Step-by-step explanation:
x% of 24=18
x/100 x 24=18
24x/100=18
Cross multiply
24x=18x100
24x=1800
Divide both sides by 24
24x/24=1800/24
x=75
75 percent pass the test
-x < - 29 solve for x
Answer:
x<29
Step-by-step explanation:
divide both sides by -1 since x cannot be negative
In 2000, the population of Big Springs was 13 thousand. Use the given doubling
time to predict the population in 2100. Assume a doubling time of 40 years.
Answer:
The answer is "26179.4".
Step-by-step explanation:
Assume year 2000 as t, that is t =0.
Formula:
[tex]A= A_0e^{rt}[/tex]
Where,
[tex]A_0 = \ initial \ pop \\\\r= \ rate \ in \ decimal \\\\t= \ time \ in \ year[/tex]
for doubling time,
[tex]r = \frac{log (2)}{t} \\[/tex]
[tex]r = \frac{\log (2)}{ 40} \\\\r= \frac{0.301}{40}\\\\r= 0.007[/tex]
Given value:
[tex]A = A_0e^{rt} \\\\[/tex]
[tex]A_0 = 13000[/tex]
[tex]t= 40 \ years[/tex]
when year is 2000, t=0 so, year is 2100 year as t = 100.
[tex]A = 13000 \times e^{et}\\\\A = 13000 \times e^{e \times t}\\\\A = 13000 \times e^{0.007 \times 100}\\\\A = 13000 \times e^{0.7}\\\\A= 13000\times 2.0138\\\\A = 26179.4[/tex]
list all the factor means use divisibility rules of 102,232
Answer:
102,232 = 2·2·2·13·983
Step-by-step explanation:
102,232 ends in 32, so is divisible by 4
102,232/4 = 25558 ends in 2, so is divisible by 2
25558/2 = 12779
is not even, so is not divisible by 2
has a sum of digits mod 9 of 8, so is not divisible by 3 or 9
does not end in 0 or 5, so is not divisible by 5
gives the result 1277-2·9 = 1259; 125-2·9 = 107; 10-2·7 = -4, which is not zero, so 12779 is not divisible by 7
gives the result (1+7+9)-(2+7) = 8, which is not divisible by 11, so 12779 is not divisible by 11
gives the result 1277 +4·9 = 1313, which is divisible by 13, so 12779 is divisible by 13
12779/13 = 983 needs to be tested for divisibility by primes between 17 and 31, namely 17, 19, 23, 29, 31. It is not divisible by any of these, so this is the last prime factor of 102,232:
102,323 = 2·2·2·13·983
_____
Divisibility rules:
Note that for any transformation rule, the rule can be repeated on the reduced result. The digits of a sum of digits can be summed, for example.
2: ends in even digit
3: sum of digits is divisible by 3
5: ends in 0 or 5
7: subtracting 2 times the last digit from the rest is divisible by 7
11: difference of sums of alternate digits is divisible by 11
13: there are several rules. A couple of useful ones are
the sum of 4 times the last digit and the remaining number will be divisible by 13 (used above)the difference of the sums of alternate groups of 3 digits will be divisible by 13 (232-102 = 130, for the number above; is divisible)17: subtracting 5 times the last digit from the rest is divisible by 17
19: the sum of 4 times the last 2 digits and the remaining number will be divisible by 19
23: the sum of 3 times the last 2 digits and the remaining number will be divisible by 23
29: the sum of 9 times the last 2 digits and the remaining number will be divisible by 29
31: subtracting 3 times the last digit from the rest is divisible by 31
Five subtracted from the product of 8 and x is greater than or equal to 51.
The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected.
(A) Based on this sampling plan, the probability that a batch that meets the contract requirements will be shipped without further inspection is approximately___________.
Answer:
0.9138 = 91.38%
Step-by-step explanation:
For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 items
This means that [tex]n = 10[/tex]
5 percent of the items shipped can be defective.
This means that [tex]p = 0.05[/tex]
Probability that a batch that meets the contract requirements will be shipped without further inspection
Probability of 1 or fewer defects.
So
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987[/tex]
[tex]P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138[/tex]
So the answer is:
0.9138 = 91.38%
Answer:
The answer is 0.9138
Step-by-step explanation:
This is a question of Binomial Probability Combination and the formula that will be used in this question is:
[tex]P(x) = nCx * p^{x} * q^{n - x}[/tex]
Where,
n ⇒ Finite sample number, here it is equal to 10p ⇒ Success, here it is equal to 5% defective or [tex]\frac{5}{100} = 0.05[/tex] q ⇒ Failure, here it is equal to (1 - p) i.e. [tex]q = 1 - \frac{5}{100} = 0.95[/tex][tex]x[/tex] ⇒ Number of defective productsNow, in order to to pass inspection and be shipped [tex]x[/tex] needs to be equal to '0' or '1'.
So,
Putting [tex]x = 0[/tex] in the formula along with the values mentioned above we get
[tex]P(0) = 10C0 * 0.05^{0} * 0.95^{10 - 0}[/tex]
[tex]P(0) = 1 * 1 * 0.5987[/tex]
[tex]P(0) = 0.5987[/tex]
Similarly,
Putting [tex]x = 1[/tex] in the formula along with the values mentioned in the bullets above we get
[tex]P(1) = 10C1 * 0.05^{1} * 0.95^{10 - 1}[/tex]
[tex]P(1) = 10 * 0.05 * 0.6302[/tex]
[tex]P(1) = 0.3151[/tex]
Now, in order to get the actual probability we need to add [tex]P(0)[/tex] and [tex]P(1)[/tex] because there is a chance that either there is no defective product or there is 1 defective in the shipped-batch from which sample was taken. Hence,
[tex]P(0) + P(1) = 0.5987 + 0.3151[/tex]
= 0.9138 (Answer)
Including a 8% sales tax, an inn charges $150.12 per night. Find the inn's nightly cost before tax is added.
Answer:$139.00
Step-by-step explanation:
150.12/1.08
Graph this function: f(x) = x2-4x - 5
Step 1: Identify a and b.
Answer: a= 1 b= -4 x = 2 f(2)= -9 the x intercepts are 5,0 and -1, 0 f(o) = -5
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
X^{2}– 13x + 5 = 0, which number would have to be added to "complete the
square"?
Answer:
[tex]x=\frac{13}{2}+\frac{1}{2}\sqrt{149}[/tex]
Step-by-step explanation:
x=
−b±√b2−4ac
2a
x=
−(−13)±√(−13)2−4(1)(5)
2(1)
x=
13±√149
2
x=
13
2
+
1
2
√149 or x=
13
2
+
−1
2
√149
Which represents the part of the 10-by-10 grid that is shaded
Answer:
100
Step-by-step explanation:
15 POINTS!! GET RIGHT THEN GOATED
Answer:
A and C
Step-by-step explanation:
Every week he spends, 3 hours on his computer
So múltiply the number of weeks to identify the number of hours on the computer
There are 4 , 1/2 have pieces already, then there 2 , 2/3 which are more so they are at least 1/2
Please help worth 20 points!!
Answer:I would think u would
Step-by-step explanation:42,500×26
Answer:
1634.62$
Step-by-step explanation:
P=S/n
P=42500/26=1634.62
Draw a quadrilateral that does not belong then explain why
Answer:
a kite
Step-by-step explanation:
PLEASE ANSWER QUICKLY! Check all that are solutions of the inequality.
-2
0
3.75
4 2/5
1.999
347,595
Answer:
2,4,5,6
Step-by-step explanation:
Answer:
0, 4 and 2 fifths, 1.999, and 347, 595
or
2, 4, 5, 6
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
I also did the instruction.
A radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation equal to 1.2 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
Answer:
[tex]Z = 3.33[/tex]
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 13, \sigma = 1.2[/tex]
You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the z-score for this amount of advertising time.
We have to find Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 13}{1.2}[/tex]
[tex]Z = 3.33[/tex]
Find the mean, median, mode and range for each set of data. Calculator usage is encouraged!
1. 23, 87, 19, 34, 37, 87, 81, 5, 14, 100, 26 Please help thank you!
Answer:
mean: 46.63636
median: 34
mode: 87
range:95
How To:
Step 1 : To find Mean
Average = ( 1 + 5 + 5 + 7 + 8 + 10 ) / 6
=36 / 6
Mean = 6
Step 2 : To find Median
Middle value = ( 5 + 7 ) / 2
= 12 / 2
Median = 6
Step 3 : To find Mode
Mode = 5 (The number with more repetition, here 5 is repeated two times)
Step 4 : To find Range
Range = Largest number - Smallest number
= 10-1
= 9
Range = 9
Answer:
Mean: 46.6
Mode: 87
Median: 34
Range: 95
Step-by-step explanation:
Mean: (finding the average)
Median: (the middle number of the data set)
Mode: (the most number repeated from the data set)
Range: (is the difference between the highest value and the lowest value)
first arrange the following data set.
23, 87, 19, 34, 37, 87, 81, 5, 14, 100, 26
so:
5, 14, 19, 23, 26, 34, 37, 81, 87, 87, 100
Lets us first find the mean by adding up all the numbers and dividing it by the amount of numbers in the data set.
Mean: 5 + 14 + 19 + 23 + 26 + 34 + 37 + 81 + 87 + 87 + 100 = 513/11 = 46.6
Mode: 87
Median: 34
Range: 100 - 5 = 95
please hurry!! 34 + 3 ⋅ 5 = ____. (Input only whole numbers.) Numerical Answers Expected! Answer for Blank 1:
Answer:
49
Step-by-step explanation:
First multiply 3 x 5.Which will give you 15.Then add 34 and 15 which will give you 49.
Answer:
49
Step-by-step explanation:
3 x 5 = 15
15+34 = 49
6th grade math help me :))
Answer:
(30*20)+200
Step-by-step explanation:
27 to 30
18 to 20
172 to 200
If the probability of you passing this test is
70%, what is the probability that you will
not pass
this test?
Answer:
30
percenr
Step-by-step explanation:
a.
In a family with eight children, what is the probability there are at least six boys?
(Hint: Add the three probabilities for either six, seven, or eight boys.)
0.00390625
b. 0.109375
C. 0.03125
d. 0.1445
Answer:
There are many ways to solve this problem, here let's follow the hints
Probability of having exact 6 boys in 8 children:
8C6 x P(boys)^6 x P(girls)^2 = 8C6 x (1/2)^6 x (1/2)^2 =8C6 x (1/2)^8
Probability of having exact 7 boys in 8 children:
8C7 x P(boys)^7 x P(girls)^1 = 8C7 x (1/2)^7 x (1/2)^1 =8C6 x (1/2)^8
Probability of having exact 8 boys in 8 children:
8C8 x P(boys)^8 = 8C8 x (1/2)^8
Add these three, we have the solution
P = (8C6 + 8C7 + 8C8) x (1/2)^8 = (28 + 8 + 1) x (1/2)^8 = 0.1445
=> Option D is correct.
Note: 8C6, 8C7, 8C8 are combination notation.
Hope this helps!
:)
Answer:
the answer is d
Step-by-step explanation:
the atlantic ocean is 2.78×10^4 feet deep at it's lowest point. If a scuba diver dives 1/50 of the total depth of the ocean, enter how many feets he dove down?
Answer:
556 feet
Step-by-step explanation:
What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.
10^4 = 10,000
2.78 × 10,000 = 27,800
27,800 ÷ 50 = 556
Answer:
556
Step-by-step explanation:
Find the area of the shaded region and choose the appropriate result?
Answer:
Option B
Step-by-step explanation:
The figures are made out of squares.
[tex]\text {Formula for area of a square: } A =s^2\\s-\text {Length of side.}[/tex]
Square 1 (the gray square):
The side measure is 4 cm.
[tex]A = 4^2 = 16cm^2[/tex]
Square 2 (white square):
The side measure is 2 cm.
[tex]A=2^2=4cm^2[/tex]
Subtract the area of the white square from the gray square to get the area of the shaded region:
[tex]16 - 4 =12[/tex]
The shaded region is [tex]12cm^2[/tex].
Option B should be the correct answer.
Brainilest Appreciated!
The number 65 is decreased to 62. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:4.6
Step-by-step explanation:
Percentage decrease=(65-62)/65 x 100
Percentage decrease=3/65 x 100
Percentage decrease=(3x100)/65
Percentage decrease=300/65
percentage decrease=4.6
i will rate you
brainliest PLZ HELP
You will get 25 points
Answer:
i can not see the picture can you describe it
Step-by-step explanation:
Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the approximate distances and angles, as shown. A triangle is labeled with Jo apostrophe s House, Boris apostrophe s House, and Carrie apostrophe s house on the points. The length from Jo to Boris is 0.5 miles, the length from Boris to Carrie is 0.4 miles, and the length from Carrie to Jo is 0.6 miles. The angle at Jo is 38 degrees. The angle at Boris is 88 degrees. The angle at Carrie is 54 degrees. Which step should they take next to find a meeting place that is the same distance from each person’s house?
Answer:
Draw perpendicular bisectors of two the sides
Step-by-step explanation:
The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.
The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.
Answer:
The answer is C
Step-by-step explanation:
EDGE2020
