(a) 6
(b) 9
Step-by-step explanation:The units of a whole number is the rightmost digit in the number. For example, if the number is 15678, the units is 8 since that is the rightmost digit. Another example is 25795. The units is 5.
(a) To find the units of the square of -2346,
i. First find the square of (-2346)
(-2346)² = (-2346) x (-2346) = 5503716
ii. Now find the rightmost digit.
The rightmost digit of 5503716 is 6.
Therefore, the units of the square of (-2346) is 6
(b) To find the units of the square of -5677,
i. First find the square of (-5677)
(-5677)² = (-5677) x (-5677) = 32228329
ii. Now find the rightmost digit.
The rightmost digit of 32228329 is 9.
Therefore, the units of the square of (-5677) is 9
simplify x^0 y^-3/x^2y^-1
The answer is 1/x^2y^2
The given expression is [tex] \frac{ {x}^{0} y { - }^{3} }{ {x}^{2}y { - }^{1} } [/tex]
We know that any number raised with zero power equals 1. Thus, [tex] {x}^{0} = 1[/tex]
Hence, the expression becomes
[tex] \frac{y { - }^{3} }{ {x}^{2} y { - }^{1} } [/tex]
Now, apply the quotient rule,[tex] \frac{ {x}^{ \alpha } }{ {x}^{b} } = {x}^{ \alpha - b} [/tex]
Using this rule, we have
[tex] \frac{1}{ {x}^{2} y { - }^{1 - ( - 3)} } [/tex]
[tex] = \frac{1}{ {x}^{2} y { - }^{1 + 3} } [/tex]
[tex]= \frac{1}{ {x}^{2} {y}^{2} } [/tex]Hence, the simplified expression is [tex] \frac{1}{ {x}^{2} {y}^{2} } [/tex]
A flower store has an inventory of 25 roses, 15 lilies, 30 tulips, 20 gladiola, and 10 daisies. A customer picks one of the flowers at random.
What is the probability that the flower is not a rose?
Answer: 75/100
Step-by-step explanation:
the total number of flowers= 25+15+30+20+10
= 100
so probability that the flower is not a rose is= 75/100
Note: i got 75 by subtracting 100 by 25
Help please I don’t know how to do this
[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding miles/hour. The records show that exactly of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Answer:
the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Step-by-step explanation:
The computation of the standard deviation of the speeds of cars is shown below;
The z score for the top 1% is 2.326
So,
= (75 - 61) ÷ standard deviation = 2.326
Standard deviation is
= 14 ÷ 2.326
= 6.0 miles per hour
Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
The secret number has 5 digits: 3, 9, 1, 6, 2
The digit in the tens place is a prime number
The digit in the ten thousands place is 3 times the digit in the tens place
The secret number rounds to 90,000.
The difference of the digits in the hundreds place and ones place is 5.
The digit in the hundreds
92631
thats the answerrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
the answers is 92631
plz mark me as a brilliant
what are point slope equations that pass through points (5,6) and (1,1)
Melinda is selling her paintings. The graph depicits the profit she makes given the selling price of the paintings. What is the approximate average rate of change in profit per dollar selling price, when the selling price yields $0 profit to a selling price that yield the maximum profit
Answer:
The average rate of change is 28.57
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate of change from 0 to maximum profit
At 0, we have:
[tex](x_1,y_1) = (32,0)[/tex]
At maximum, we have:
[tex](x_2,y_2) = (60,800)\\\\[/tex]
The average rate of change (m) is calculatd as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{800 - 0}{60 - 32}[/tex]
[tex]m = \frac{800}{28}[/tex]
[tex]m = 28.57[/tex] --- approximated
carlos and his crew build small wooden packing crates at a rate of 52 cates per hour how many crates can they build in 6 1/2 hours
Answer:
338 crates
Step-by-step explanation:
Find how many crates they can make by multiplying 52 by 6.5:
52(6.5)
= 338
So, in 6.5 hours, they can make 338 crates
Find the area of a circle with diameter 10 inches. Round to the nearest hundredth points)
Answer:
78.54inches²
Step-by-step explanation:
Area of a circle=πr²
radius=½ diameter
=5inches
=π×(5inches)²
=π25inches²
=78.539816339744830inches²
rounded to the two decimal places=78.54inches²
The mean waiting time at the drive-through of a fast food from the time the order is placed to the time the order is recieved is 84.3 seconds. A manager devises a new drive-through system that he believes will decrease the wait time. To test his claim, he initiates the new system at his restaurant and measures the wait time for 45 randomly selected orders and finds the sample mean to be 81.9 and a sample standard deviation of 17.3.
1. Has the wait time significantly decreased?
2. Write the appropriate hypothesis statements for this test.
3. Also what is the t-test and p-value?
Answer:
1.) No ;
2.) - 0.931
3.) 0.1785
Step-by-step explanation:
Given :
μ = 84.3 ; xbar = 81.9 ; s = 17.3
H0 : μ = 84.3
H1 : μ < 84.3
The test statistic :
(xbar - μ) ÷ (s/√(n))
(81.9 - 84.3) / (17.3/√45)
-2.4 / 2.5789317
= - 0.9306
= - 0.931
Using the test statistic, we could obtain the Pvalue : df = n - 1 ; df = 45 - 1 = 44
Using the Pvalue calculator :
Pvalue(-0.9306, 44) = 0.1785
Using α = 0.05
The Pvalue > α
Then we fail to reject H0; and conclude that there is no significant evidence to support the claim that the mean waiting time is less than 84.3
Write the standard equation of the circle in the graph.
Answer:
[tex](x-4)^2 + (y+3)^2 = 16[/tex]
Step-by-step explanation:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where [tex](h, k)[/tex] is the center of the circle and [tex]r[/tex] is the radius
is it possible to make a triangle with a measure of 1o m 6m and 7m
Answer:
Step-by-step explanation:
So basically you
Then you have to
And finally the answer is
6.) Ms. Speer is scuba diving. She descends 5 feet below sea level. She descends the same distance 4 more times. What is Ms. Speer's final elevation? *
Answer:
-25 feet
Step-by-step explanation:
First she descends 5 feet below sea level
She then descends the SAME DISTANCE ( so 5 feet ) 4 MORE TIMES
So feet descended = 4 * 5 + 5
4 * 5 = 20
20 + 5 = 25
Her final elevation will be -25 feet
( it's important that we add a negative sign because she is descending meaning going down )
HALP!!! FIND ALL THREE ANGLES WILL MARK BRAINLIEST FOR LEGITIMATE ANGLES
Answer:
Step-by-step explanation:
2x+3+2x-12+4x-11=180 degree (sum of interior angles of a triangle)
8x-20=180
8x=180+20
x=200/8
x=25
Now , substitute the value of x.
Chicago=2x+3
=2*25+3
=50+3
=53 degree
Austin=2x-12
=2*25-12
=50-12
=38 degree
Atlanta=4x-11
=4*25-11
=100-11
=89 degree
Write the equation of the line in fully simplified slope-intercept form.
2
-12-11-10-9-8-7-5-4-3-2-1
1 2 3 4 5 6 7 8 9 10 11 12
Answer:
[tex]Equation : \ y = \frac{4}{5}x + 4[/tex]
Step-by-step explanation:
To find equation of a line we will consider two points through which the lines passes .
Let it be ( -5 , 0 ) and ( 0 , 4 )
Step 1 : Find the slope
[tex]slope , m = \frac{y_2 - y_1}{x_2-x_1} = \frac{0-4}{-5-0} = \frac{-4}{-5} = \frac{4}{5}[/tex]
Step 2 : Equation of the line
[tex](y - y_1) = m(x - x_1) \\\\or \\\\(y - y_2) = m (x -x _2)[/tex]
We will use the second point ( 0. 4)
[tex](y - 4) = \frac{4}{5}(x - 0)\\\\y = \frac{4}{5}x + 4[/tex]
I have been stuck on this forever plz help
What is the surface area of this cylinder
Answer:
1865.16 m^2
Step-by-step explanation:
first let 's find radius of a circle
radius=diameter/2
=18/2
=9 m
area of a cylinder=2πrh+2πr2
=2*3.14*9*24 + 2*3.14*(9)^2
=1356.48 + 2*3.14*81
=1356.48 + 508.68
=1865.16 m^2
Answer:
1866.11 m²
Step-by-step explanation:
Formula = 2πrh + 2πr²
Surface area = 2 * 3.14 * 9 * 24 + 2*3.14* 81 ≈ 1866.11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which values for A and B will create many solutions for this system of equations? 4x-Ay=15 -4x+6y=B
Answer:
A = 6; B = -15
Step-by-step explanation:
To have an infinite number of solutions, both equations must be the same.
4x - Ay = 15
-4x + 6y = B
The only coefficient we see in both equations is the coefficient of the x term. We have -4x and 4x. Multiply both sides of the second equation by -1.
4x - Ay = 15
4x - 6y = -B
For the equation to be equal, we need each term of one equation to be equal to the corresponding term of the other equation.
4x and 4x are equal.
-Ay must equal -6y
-Ay = -6y
-A = -6
A = 6
15 must equal -B
-B = 15
B = -15
Answer: A = 6; B = -15
ACTIVITY 1 Directions: Interpret these circle graphs
A. The pie graph below shows what a normal human body is made of.
Questions:
1. As shown in the graph,what composes the human body?
2. Which makes up the greatest part of the human body? the least?
Step-by-step explanation:
1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)
2) muscle makes up the greatest part and the minerals makes up the least.
hope it heals u.
make me brain list Pls.
When 10 gallons of gasoline are put into a car's tank, the indicator goes from 1/8 of a tank to 3/4. What is the total capacity of the gasoline tank?
Answer: 16 gallons
Step-by-step explanation:
Since the the indicator goes from 1/8 of a tank to 3/4, we need to know the difference and this will be:
= 3/4 - 1/8
= 6/8 - 1/8
= 5/8
Therefore, 10 gallons represents 5/8 of the total capacity. Therefore, the total capacity will then be:
5/8 of x = 10
5x/8 = 10
5x = 10 × 8
5x = 80
x = 80/5
x = 16
Therefore, the total capacity is 16 gallons
Someone help me solve please
Answer:
48.37 degrees
Step-by-step explanation:
c = AB = sqrt((9-7)² + (2-7)²) = sqrt(4+25) = sqrt(29)
b = AC = sqrt((5-7)² + (3-7)²) = sqrt(4+16) = sqrt(20)
a = BC = sqrt((5-9)² + (3-2)²) = sqrt(16+1) = sqrt(17)
A = angle at A
B = angle at B
C = angle at C
cos(A) = (b²+c²-a²)/(2bc) = (20+29-17)/2sqrt(20)sqrt(29) =
= 32/48.16637832... = 0.664363839...
A = acos(0.664363839...) = 48.366461... degrees
A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles. Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles.
____%
Answer: 16%
Step-by-step explanation:
What is the slope of a line parallel to
a)-1/2
b)-2
c)1/2
d)2
Answer:
parallel lines has equal gradient
answer
c ,1/2
which point best represents 55? Explain your answer.
Best represents 55? None of these points are 55. The closest answer I can get you is point D on 11 because 55 is divisible by 11...(5)
Answer:
d is the corrext answer :)
HELP HURRY PLS I really really need help
Answer:
a big number
Step-by-step explanation:
Political party affiliation is believed to be a very strong indicator of how voters will vote in Presidential Elections. You are interested in determining if voter party loyalty has changed since 1992. During the 1992 election, the proportion of self-proclaimed Republicans who voted for George H. W. Bush was 0.924. During the 2012 election, in a survey of 277 Republican voters, 213 indicated that they had voted for Mitt Romney. The 90% confidence interval for this proportion is ( 0.7273 , 0.8106 ). What is the best conclusion you can make from this information that is listed below
Answer:
The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
The 90% confidence interval for the proportion of Republican voters that had voted for Mitt Romney is (0.7273, 0.8106). The best conclusion is that we are 90% that the true population proportion of Republicans that voted for Mitt Romney is between 0.7273 and 0.8106.
A random sample of 30 patties that were inspected over the course of the last week revealed that the average weight was 95.0 grams. The standard deviation was 0.25 grams. What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])
Answer:
4.56% of the deliveries are likely to be outside the specification limits.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The average weight was 95.0 grams. The standard deviation was 0.25 grams.
This means that [tex]\mu = 95, \sigma = 0.25[/tex]
What percentage of the deliveries is likely to be outside the specification limits (outside the interval of [94.5, 95.5])?
Less than 94.5, or more than 95.5. Since the normal distribution is symmetric, these probabilities are the same, so we can find one of them and multiply by two.
The probability that it is less than 94.5 is the p-value of Z when X = 94.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94.5 - 95}{0.25}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
2*0.0228 = 0.0456
0.0456*100% = 4.56%
4.56% of the deliveries are likely to be outside the specification limits.
6,12,24,48 Find the 11'th term
Answer:
614
Step-by-step explanation:
This pattern is being multiplied by 2
keep multiplying by two till you get to the 11th term
6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144
6144 is the 11th term.
What is the answer to this
Answer:
김수아 임니다 올드 그란 파
Step-by-step explanation:
미안하지 미안하지 미안하지 미안하지
can anybody help me please? I'll give brainlest for correct answer
Answer:
1) 40 degrees
2) 140 degrees
3) 110 degrees
4) 70 degrees
5) 70 degrees
Explanation:
Use the curved protractor they have created you, and count every dash as 10 degrees. Keep in mind that the whole thing equals 180 degrees, and half would equal 90 degrees. Some call it a right angle.
Let me know if my answer is correct for the other users that will see this message. Thank you!
-kiniwih426
de acuerdo a la sucesion 11,18,25,32... encuentra el término que se ubica en la posición 50
Answer:
354.
Step-by-step explanation:
De acuerdo a la sucesión 11,18,25,32..., para encontrar el término que se ubica en la posición 50 se debe realizar el siguiente razonamiento lógico-matemático:
32 - 25 = 7
25 - 18 = 7
18 - 11 = 7
Así, los números van subiendo de 7 en 7. Por lo tanto, para determinar el número que se ubica en la posición 50 debe realizarse el siguiente cálculo:
(7 x 49) + 11 = X
343 + 11 = X
354 = X
Por lo tanto, el término que se ubica en la posición 50 es 354.