Answer:
s=5
Step-by-step explanation:
This triangle is right and with two equal sides since it has two congruent angle so we will use the pythagorian theorem:
s²+s² = (5[tex]\sqrt{2}[/tex])²2s² = 25*2 divide both sides by 2s² = 25s = 5Please answer this correctly
Answer:
3/5
Step-by-step explanation:
Out of the 5 cards, 3 of them are greater than 3 or less than 2 (1, 4, 5) so the answer is 3/5.
Answer:
3/5
Step-by-step explanation:
Total number of cards: 5
Cards greater than 3: 4, 5
Cards less than 2: 1
Total of (greater than 3 or less than 1): 3 cards
p(greater than 3 or less than 1) = 3/5
IM SOO CONFUSEDD help???
Answer:
D.
Step-by-step explanation:
To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.
h(x) = sqrt(2x^2 + 5x - 3)
= sqrt(0^2 + 5 * 0 - 3)
= sqrt(-3)
Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.
If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.
Your answer will be D.
Hope this helps!!
divide the equation 525.4 ÷ 0.035
Answer:
the correct answer is 15011.428571
Step-by-step explanation:
=525.4 ÷ 0.035
=15011.428571
hope this works out!!!!
The division of decimal values 525.4 ÷ 0.035 = 15011.428571........
How do divide decimals?To divide decimals we make them integers by multiplying the numerator and denominator by 10ⁿ, where n is the number of decimal places in the numerator or denominator, whichever has more.
Then we follow the steps of normal numeric divisions.
How to solve the question?In the question, we are asked to divide the equation 525.4 ÷ 0.035.
We can write this as 525.4/0.035.
Now, 0.035 has more decimal places, with n = 3, where n is the number of decimal places.
Thus, we multiply the numerator and denominator by 10³ = 1000.
Therefore, 525.4/0.035
= (525.4*1000)/(0.035*1000)
= 525400/35
= 15011 3/7
= 15011.428571........
Thus, the division of decimal values 525.4 ÷ 0.035 = 15011.428571........
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cube root of 99 is 4.626 find the cube root of 792
Answer:
the answer is: 9.25
Step-by-step explanation:
the cube root of 792 is approximately 9.252.
To find the cube root of 792, we can use the relationship between cube roots and cube numbers.
If the cube root of 99 is approximately 4.626, we can use this information to find the cube root of 792.
Let's calculate the cube root of 792 using the relationship:
(cube root of 792) = (cube root of 99) * (cube root of 8)
Since 792 is equal to 99 multiplied by 8 (792 = 99 * 8), we can rewrite the equation as:
(cube root of 792) = (4.626) * (cube root of 8)
Now, we need to find the cube root of 8:
(cube root of 8) = 2
Substituting this value back into the equation, we get:
(cube root of 792) = (4.626) * (2) = 9.252
Therefore, the cube root of 792 is approximately 9.252.
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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes with a standard deviation of 0.5 minutes. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
Refer to Exhibit 9-4. At 95% confidence, it can be concluded that the mean of the population is
Select one:
a.
significantly greater than 3
b.
not significantly greater than 3
c.
significantly less than 3
d.
significantly greater then 3.18
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 3
For the alternative hypothesis,
H1: µ > 3
This is a right tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 3.1
µ = population mean = 3
s = samples standard deviation = 0.5
n = number of samples = 100
t = (3.1 - 3)/(0.5/√100) = 2
We would determine the p value using the t test calculator. It becomes
p = 0.024
Alpha = 1 - confidence level = 1 - 0.95 = 0.05
Since alpha, 0.05 > than the p value, 0.024, then we would reject the null hypothesis. Therefore, at 95% confidence level, it can be concluded that the mean of the population is significantly greater than 3.
In the diagram circle o, what is the measure of angle abc
Answer:
34°
Step-by-step explanation:
Because AB and CB are tangents, the measure of angle B is the supplement of the measure of arc AC:
180° -146° = 34°
There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? Yes or No
Answer:
I don't think so
Step-by-step explanation:
There are some numbers called the Taxi cabs they satisfy this relation : x³+y³=z³+a³ like the famous Ramanujin number 17291729 = 1³+12³=9³+10³ there are four numbers (1,12,9,10) i don't think so that there are 3 numbersWhich of the following are accurate descriptions of the distribution below? Choose all answers that apply: Choose all answers that apply: (Choice A) A The distribution has a peak from 9999 to 10 m10 \text{ m}10 m10, start text, space, m, end text. (Choice B) B The distribution has a gap from 6666 to 9999 m\text{m}mstart text, m, end text. (Choice C) C None of the above
Answer:
None of the above
Step-by-step explanation:
Answer:
None of the Above
Step-by-step explanation:
I got it right on Khan Academy :) Have a Great Day!
which three lengths could be the lengths of the sides of a triangle?
21 cm, 7 cm, 6 cm
12 cm 5 cm 17 cm
9 cm 22 cm, 11 cm
10cm 25cm, 24cm.
Answer:
None of the sides can be a triangle.
Step-by-step explanation:
Which is an expression in square units that represents the area of the shaded segment of C. Geometry
Answer:
[tex] \frac{1}{2} {r}^{2} ( \frac{1}{2}\pi - 1)[/tex]
option D is the right option.
solution,
Area of shaded region:
Area of sector-Area of ∆
[tex] = \frac{90}{360} \times \pi {r}^{2} - \frac{1}{2} \times r \times r \\ = \frac{1}{4} \pi {r}^{2} - \frac{1}{2} {r}^{2} \\ = \frac{1}{2} {r}^{2} ( \frac{1}{2} \pi - 1)[/tex]
Hope this helps...
Good luck on your assignment..
The expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
Calculation of the expression:Since we know that
The area of the shaded region = Area of the sector - an area of a triangle
So,
[tex]= \frac{90}{360} \times \pi r^2 - \frac{1}{2} \times r\times r\\\\ = \frac{1}{4}\pi r^2 - \frac{1}{2}r^2 \\\\= \frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
hence, The expression in square units that represents the area of the shaded segment of C. Geometry is [tex]\frac{1}{2}r^2(\frac{1}{2}\pi - 1)[/tex]
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What is the ratio for the volumes of two similar spheres, given that the ratio of
their radii is 5:9?
A. 125:729
B. 25:81
C. 729:125
D. 81:25
Answer:
Option A
Explanation:
the ratio of radii to volume is ^3 "to the third power"
so 5^3 : 9^3 would be the ratio for volumes
125:729
Find the x- and y-intercepts of −4x+y=4. (Enter each intercept in the form (a,b).)
Answer:
(-1, 4)
Step-by-step explanation:
What is the approximate positive value of the x-coordinate of the point of intersection of p(x)=5x^2-3 and q(x)=2x+1
Hey there! :)
Answer:
x = 1.117
Step-by-step explanation:
Graph the two equations:
p(x) = 5x² - 3
q(x) = 2x + 1
On the graph below, the positive point of intersection is at (1.117, 3.233).
Positive x-value = 1.117.
What is the solution to the equation? StartFraction r Over 7.1 EndFraction = 4.2 r =
Answer:
r= 29.82
Step-by-step explanation:
r/7.1=4.2
r= 4.2*7.1
r= 29.82
Answer:
29.82 i did the unit test
Step-by-step explanation:
What is the best estimate for the value of the expression?
34
8
16
3
14
9.
-3
-21
O7
Answer: 8 is the anwser
Step-by-step explanation:
simplify 2(4+8)÷2(8+8)
192.
2(8+4)÷2(8+8) = 1(4+8)×(8+8)
1×12×16=192.
Answer:
192Step-by-step explanation:
[tex]2(4 + 8) \div 2(8 + 8)[/tex]
Any expression divided by itself equals 1
[tex]1(4 +8) \times (8 + 8)[/tex]
Add numbers
[tex]1 \times 12 \times 16[/tex]
Any expression multiplied by 1 remains the same
[tex]12 \times 16[/tex]
Multiply the numbers
[tex]192[/tex]
Hope this helps...
Good luck on your assignment..
Write the equation of each line in slope intercept form (If possible please show work)
Answer:
y= -2/3 x - 9
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -2/3 x+b
We have a point to substitute into the equation
-5 = -2/3(-6) +b
-5 = 4 +b
Subtract 4 from each side
-5-4 = 4-4+b
-9 = b
y= -2/3 x - 9
Without solving for the undetermined coefficients, the correct form of a particular solution of the differential equation y'' + 9y = sin(3x) is:_______
a. yp = Acos(3x) + Bsin(3x)
b. yp = Axcos(3x) + (3x)
c. yp = Asin(3x)
d. yp = Acos(3x)
e. yp = Axcos(3x) + Bxsin(3x)
Answer:
E
Step-by-step explanation:
y’’ + 9y = sin(3x)
The characteristics equation is;
m^2 + 9 = 0
solving this we have 2 complex roots
m= -3i, 3i
Thus;
yh = Ccos(3x)+ Dsin(3x)
let yp = Axcos(3x) + Bxsin(3x)
Now, because we have sin(3x) and cos(3x) with constant coefficient in yh, option E is our answer
Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received of the votes, Gilda received 15% of the votes, and Conroy received of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive?
Answer: A) 45%
Step-by-step explanation:
The question is incomplete. The complete question is
Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received 1/5 of the votes, Gilda received 10% of the votes, and Conroy received 1/4 of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive? A. 45\% B. 55\% C. 20\% D. 50\%
Solution:
The total percentage of the votes that is spread among the 4 contestants is 100%
Carl received 1/5 of the votes. It means that the percentage of votes that Carl received is
1/5 × 100 = 20%
Gilda received 10% of the votes.
Conroy received 1/4 of the votes. It means that the percentage of the votes that Conroy received is
1/4 × 100 = 25%
Therefore, if Kyla received all of the remaining votes, then the percentage of the votes that she received is
100 - (20 + 10 + 25) = 45%
Answer:
40%
Step-by-step explanation:
Of the 35 jewelers in her town, Naomi polled the 5 biggest to learn about the latest jewelry trends. Her sample is . The sample is of the jewelers in Naomi’s town.
Answer:
Step-by-step explanation:
Her sample is of a portion/part of the population of jewelers in her town
Her sample is also biased and id not a representation of the population in that she sampled on the biggest jewelers without considering the smaller one which might possibly have the latest jewelry trends.
Answer: It is Bias and not representative
Step-by-step explanation:
Jane and Bill are cleaning up a park. If she had to clean up the park herself, it would take Jane six hours to complete the job. If Bill alone were to clean the park, it would take him three hours. Working together, how long will it take Jane and Bill to clean the park?
Answer:
4.5 hours
Step-by-step explanation:
If you take both of their alone time
6 and 3
Add them together
Divide both of them By 2
Giving you your answer
It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let t represent the time that would take both Jane and Bill to clean the park, hence:
[(1/6) + (1/3)]t = 1
t = 2 hours
It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.
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A family has a phone plan that includes 4 GB of data per month. 10 days into a 30-day month, the family has used 1 GB. At that rate, how many GB will the family use for the entire month?
Answer:
3 GB
Step-by-step explanation:
Since the family has used 1 GB in 10 days. With the same rate in 30 days they would have 3 GB
Fill in the green box.
Answer:
y=6solution,
Similar Right triangles:
[tex] \frac{c}{h} = \frac{h}{d} \\ {h}^{2} = cd \\ {y}^{2} = 4 \times 9 \\ {y = 36 }^{2} \\ y = \sqrt{ {(6)}^{2} } \\ y = 6[/tex]
Hope this helps..
Good luck on your assignment..
Answer:whats the measure of x i really need help
Step-by-step explanation:
Algebra 1 help. I got A
Answer: A
Step-by-step explanation:
(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.
4x+1-(x²-5) [distribute -1]
4x+1-x²+5 [combine like terms]
4x-x²+6 [rewrite in the order of exponents]
-x²+4x+6
Susan can pick 4 pounds of coffee beans in an hour or gather 2 pounds of nuts. Tom can pick 2 pounds of coffee beans in an hour or gather 4 pounds of nuts. Each works 6 hours per day. a. Together, what is the maximum number of pounds of coffee beans the two can pick in a day
Answer:
144
Step-by-step explanation:
Susan can pick 4 pounds of coffee beans in an hour. Tom can pick 2 pounds of coffee beans in an hour. Together, they can pick 6 pounds of coffee an hour.
4 + 2 = 6
There are 24 hours in a day. Multiply the time by the amount that can be picked to find the answer.
24 × 6 = 144
Together, the maximum number of pounds of coffee beans the can pick in a day is 144 pounds.
Together they can pick a maximum of 36 pounds of coffee
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
given:
Susan can pick 4 pounds of coffee or 2 pounds of nuts.
Tom can pick 2 pounds of coffee or 4 pounds of nuts.
So, In 6 hours
Susan will pick
= 4 * 6
= 24 pounds of coffee.
In 6 hours,
Tom will pick
=2 * 6
= 12 pounds of coffee.
Hence, together they can pick a maximum of 36 pounds of coffee
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If other factors are held constant, which set of sample characteristics is most likely to reject a null hypothesis stating that m
Answer:
M = 90 for a sample of n = 100
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance or M = 90 with s sample of n = 100. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain at some point both of the next two days, what is the probability that the first drop of rain will be felt between 8:25 AM and 3:30 PM on both days? a) O 0.2951 b) 0.9137 c) 0.0871 d) 0.2938 e) 0.0863 f) None of the above.
Answer:
c) 0.0871
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d is given by the following formula.
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
On a single day:
24 hours, so [tex]a = 0, b = 24[/tex]
8:25 P.M. is 8:25 = 8.4167h
3:30 P. M. is the equivalent to 12 + 3:30 = 15:30 = 15.5h
Probability of rain between these times:
[tex]P(8.4167 \leq X \leq 15.5) = \frac{15.5 - 8.4167}{24 - 0} = 0.2951[/tex]
On both days:
Two days, each with a 0.2951 probability
0.2951*0.2951 = 0.0871
The correct answer is:
c) 0.0871
If a population proportion is believed to be 0.60, how many items must be sampled to ensure that the sampling distribution of the sample proportion will be approximately normal
Answer:
[tex]n \geq 42[/tex]
Step-by-step explanation:
Data provided
P = 0.6
The calculation of sample size is shown below:-
Here the sampling distribution of proportion will be approximately normal, then follow the rule which is here below:-
[tex]np\geq 10\ and\ np (1 - p)\geq 10[/tex]
Now we will consider condition 2
[tex]np(1 - p)\geq \ 10[/tex]
[tex]n(0.6) (1 - 0.6) \geq \ 10[/tex]
[tex]n(0.6) (0.4) \geq\ 10[/tex]
[tex]n\geq \frac{10}{0.24}[/tex]
[tex]n \geq 41.66667[/tex]
or
[tex]n \geq 42[/tex]
Therefore for computing the required sample size we simply solve the above equation.
if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is _.
Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.
Step-by-step explanation:
We know that when a complex number [tex]z=a+ib[/tex] is a root of a polynomial with degree 'n' , then the conjugate of the complex number ([tex]\overline{z}=a-ib[/tex]) is also a root of the same polynomial.Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients
Here, 7+5i is a complex number.
So, it conjugate ([tex]\overline{7+5i}=7-5i[/tex]) is also a zero of a polynomial function.
Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.
If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i
The standard form of writing complex numbers with real and imaginary values is expressed as:
z = x + iy
The conjugate of the complex number will be y = x - iy
A complex number and its conjugate both have the same degree with coefficient.Given the polynomial 7 + 5i. If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i
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Find the missing side of the triangle.
11 yd
10 yd
Answer:
Step-by-step explanation:
a^2+b^2=c^2
assuming that 11 and 10 are the shorter sides of the triangle
11^2+10^2=c^2
121+100=c^2
221=c^2
[tex]\sqrt{221}=\sqrt{c^2}[/tex]
this will equal 14.87 approximately
The missing side of the triangle is √221 yd .
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let recall the Pythagorean theorem formula:
a² + b² = c²
Replacing by the values we have;
11² + 10² = c²
c² = 121 + 100
c² = 221
c = √221 yd
Therefore, the correct answer is √221 yd .
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