Given that -
Boys in a class = 30
Girls in a class = 10
Answer -
Ratio [tex] \implies \frac{30}{1 0} \\ [/tex]
[tex] \implies \frac{3}{1 } \\ [/tex]
Boys : Girls = 3 : 1 .
Nam owns a used car lot. He checked the odometers of the cars and recorded how far they had driven. He
then created both a histogram and a box plot to display this same data (both diagrams are shown below).
Which display can be used to find how many vehicles had driven more than 200,000 km (kilometers)?
Choose 1 answer:
Answer:
a histogram
Step-by-step explanation:
You can count easily from hiistogram how many vehicles had driven more than 200,000 km (kilometers) and that's not the case with the box plot
(Geometry) PLZ HELP ASAP
Answer:
121 square feet
Step-by-step explanation:
The area of a triangle is the height multiplied by the base divided by 2. Since this is a right triangle, you can simply use the two legs for this. The area of this triangle is therefore:
[tex]\dfrac{24.2\cdot 10}{2}=\dfrac{242}{2}=121[/tex]
Hope this helps!
Answer:
Area: 121 feet²
Step-by-step explanation:
The formula for the area of any triangle is [tex]\frac{1}{2} *b*h[/tex]
This triangle's base is 10 feet
This triangle's height is 24.2 feet
[tex]\frac{1}{2} *10*24.2=\\5*24.2=\\121[/tex]
The area of the triangle is 121 square feet or 121 ft²
please hurry I’ll make brainiest
A marble is thrown off of a balcony, towards the ground, from a height
of 18 feet above ground level, with a velocity of 4.5 feet per second.
Which function could be used to model the height of the marble, after
t seconds?
Answer:
Option (3)
Step-by-step explanation:
A stone has been thrown off towards the ground from a height [tex]h_{0}[/tex] = 18 feet
Initial speed of the stone 'u' = 4.5 feet per second
Since height 'h' of a projectile at any moment 't' will be represented by the function,
h(t) = ut - [tex]\frac{1}{2}(g)(t)^2[/tex] + [tex]h_{0}[/tex]
h(t) = 4.5t - [tex]\frac{1}{2}(32)t^2[/tex]+ 18 [ g = 32 feet per second square]
h(t) = 4.5t - 16t² + 18
h(t) =-16t² + 4.5t + 18
Therefore, Option (3) will be the answer.
if the domain of the square root function f(x) is X greater than or equal to seven which statement must be true 870 subtracted from the exterminator and the radical be the radical was notified by negative number seven turn in Dee the exterminator and the radical has a negative coefficient
[tex]the \: right \: answer \: is \: of \: option \: d \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]
Five points are located on a line. When the ten distances between pairs of points are listed from smallest to largest, the list reads: 2, 4, 5, 7, 8, k, 13, 15, 17, 19. What is the value of k
Answer:
k = 12
Step-by-step explanation:
To find the missing number, we would first draw the number line and insert some of the numbers listed above using trial and error.
The numbers would be from 0 to 19. This is because the ten numbers given are the distances between pairs of points from smallest to largest.
That is to get 2, the pairs of point would have to be between 0 and 2, likewise to get 19, the pairs of point would have to be between 0 and 19.
Let's draw the first number line by placing the numbers from the above analysis: 0, 2 and 19
To get a distance of 7, the pairs could be 0 and 7 ; 8 and 15
We would represent this on the number line.
From the arrows drawn, we can see we have distances: 2, 7, 15, 19, 5, 13, 17, 8, 12, 4
The number available in this list but not specified in the ten distance list in the question is 12.
Therefore, the value of k = 12
Solve X squared minus 8X +3 equals zero by completing the square which equation is used in the process?
Answer:
x = 4 ± √13
Step-by-step explanation:
x² − 8x + 3 = 0
Complete the square. (-8/2)² = 16.
x² − 8x + 16 − 13 = 0
(x − 4)² − 13 = 0
(x − 4)² = 13
x − 4 = ±√13
x = 4 ± √13
Scores on the Wechsler Adult Intelligence Scale (WAIS) are approximately Normal with mean 105 and standard deviation 16. People with WAIS scores below 73 are considered intellectually disabled when, for example, applying for Social Security disability benefits. According to the 68-95-99.7 rule, about what percent of adults are intellectually disabled by this criterion
Answer:
2.5% of adults are intellectually disabled by this criterion
Step-by-step explanation:
The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 105
Standard deviation = 16
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
What percent of adults are intellectually disabled by this criterion
Below 73
73 = 105 - 2*16
So 73 is 2 standard deviations below the mean.
Of the 50% of the measures that are below the mean, 95% are within 2 standard deviations of the mean, that is, between 73 and 105. The other 100 - 95% = 5% are below 73. So
0.05*0.5 = 0.025
0.025*100 = 2.5%
2.5% of adults are intellectually disabled by this criterion
A container holds less than 4 gallons of paint. Which inequality represents q, the number of quarts of paint it can hold? Recall that 4 quarts equal 1 gallon. A. q 1 C q 16
Answer:
q<16
Step-by-step explanation:
Multiply four quarts by four gallons. This gives us 16. Now, since it says less than, and not less than or equal to, we use < symbol. q<16
Answer:
q<16
Step-by-step explanation:
Values for the labor force participation rate of women (LFPR) are published by the U.S. Bureau of Labor Statistics. A researcher is interested in whether there was a difference between female participation in 1968 and 1972, a time of rapid change for women. The researcher checks LFPR values for 19 randomly selected cities for 1968 and 1972, with the accompanying software output results for two possible tests. Complete parts a and b below. LOADING... Click the icon to view the software output results for the two possible tests.
Answer:
(A) For this research we made use of the paired t test.
(B) For the t test, we conclude that in the null Hypothesis H₀, there was no difference between the average labor force participation rate for women between the years of 1968 and 1972 as against the alternate Hypothesis Hₐ.
From the output data we have, since the P value is 0.024 and is lesser than the alpha value of 0.05, we will accept the alternate Hypothesis instead of the null Hypothesis.
Note:Kindly find an attached copy of the complete question below.
Step-by-step explanation:
Solution
Recall that:
The U.S of Bureau of Labor Statistics have published Values for the labor force participation rate of women (LFPR).
We are more interested in if there was a difference between female participation 1968 and 1972, a rapid change in women.
so we will check values for 19 randomly selected cities for 1968 and 1972,
Now,
(a) Which of this test is most appropriate for this data
The test which will be more suitable for these data will be paired to test t.
Because the data is for labor force participation for two different years, we apply the t test. now that we are making a comparison of two different year times, we will apply the t test in this research.
In this case, the sample size for both the years evaluated should be same, since we need to pair each and all the data.
(b)By using the test you selected, explain your conclusion
Now, to test the data paired t test, we have already the null Hypothesis H₀: In this case there is no difference between the average labor force participation rate for women between the years of 1968 and 1972 as compared with the alternate Hypothesis Hₐ: there was a significant difference between the average labor force participation rate for women between the years of 1968 and 1972.
However, from the output, we have that the P value is 0.024 which is lower than the alpha value of 0.05.
In conclusion, the alternate Hypothesis accepted while the null Hypothesis is rejected.
Note: kindly find an attached copy of the complete question to this solution
below.
In the triangles below, m B = MZP and mZT = m J.
What is the length of PQ?
6
3
5
12
I can't solve it because it didn't have enough information
Instructions: Determine if the two triangles in the image are congruent. If they are, state how you know by identifying the postulate.
AAS is the same as SAA
The arcs shown indicate those angles are congruent. Another pair of congruent angles are the vertical angles formed by the X crossing. That's two "A"s so far. The tickmarks of the segments mean those segments are the same length. So this is why we can use AAS here.
if you’re good with permutations in math 30 help out with this easy question
In how many ways can five boys and three girls sit in a row such that all boys sit together?
a) 4800
b) 5760
c) 2880
d) 1440
Answer:
2880
Step-by-step explanation:
Consider the 5 boys to be 1 group. The boys and 3 girls can be arranged in 4! ways.
Within the group, the boys can be arranged 5! ways.
The total number of permutations is therefore:
4! × 5! = 2880
18. The servicing of a machine requires two separate steps, with the time needed for the
first step being an exponential random variable with mean 0.2 hour and the time for the
second step being an independent exponential random variable with mean 0.3 hour. If a
repair person has 20 machines to service, what is approximately the probability that all the
work can be completed in 8 hours?
Answer:
Step-by-step explanation:
Let X denote the first step
Let Y denote the second step
Then
E(X) = 0.2
E (Y) = 0.3
V (X) = 0.04
V (Y) = 0.09
Now,
E(X,Y) = E[X] + E{Y}
0.2 + 0.3 = 0.5
And since X and Y are independent
Therefore,
V(X , Y) = V(X) + V(Y)
= 0.04 + 0.09
= 0.13
Now required probability is
[tex]P\{ \sum X_i+\sum Y_i<8 \}=P\{ \frac{\sum X_i + \sum Y_i-nE[X+Y]}{\sqrt{Var(X+Y)n} } <\frac{8-20\times0.5}{\sqrt{0.13\times20} } \}\\\\=P\{Z_n<\frac{8-10}{\sqrt{2.6} } \}\\\\=P\{Z_n<-1.24\}[/tex]
= Φ(-1.24)
= 1 - Φ (1.24)
= 1 - 0.8925
= 0.1075
Any help would be geeat
Answer:
90 feet
Step-by-step explanation:
==>Given:
Rectangular room measuring 21 feet by 23 feet
==>Required:
Perimeter of the room = the length of all sides of the room
==>Solution:
Using the formula P = 2L + 2W, we can find the perimeter of the rectangular room assuming that length big the room (L) = 23 ft, while the width (W) = 22 ft.
Therefore,
P = 2(23) + 2(22)
P = 46 + 44
P = 90 ft
Perimeter of the room = 90 feet
Please answer this correctly
Answer:
Stem | Leaf
13 | 4 9 9
16 | 0 2 3 6
Step-by-step explanation:
134, 139, 139
160, 162, 163, 166
Please show how to factor this I really don't understand, 3x^2−10x−8.
Answer: (x - 4) (3x + 2)
Step-by-step explanation:
Factor 3x² - 10x - 8
a) Multiply the first and last coefficients: 3(-8) = -24
b) Find two numbers whose product equals -24 and sum equals -10 (the middle coefficient).
-24
∧
1 -24
2 -12 This works!
c) Replace the the middle term of -10x with 2x - 12x
3x² + 2x - 12x - 8
d) Split the equation into two sections (left and right) and factor each side separately.
3x² + 2x - 12x - 8
x(3x + 2) -4(3x + 2)
e) Notice that the parenthesis are the same. The values on the outside combine to make one of the factors and the parenthesis are the other factor.
x(3x + 2) -4(3x + 2)
= (x - 4) (3x + 2)
18$ for 24 ounces. rate or ratio and in simplest form
Answer:
$3/4 ounces
.75 per ounce
Step-by-step explanation:
Take the dollar amount and divide by the number of ounces
18/24
$3/4 ounces
.75 per ounce
I NEED HELP WITH THIS PLEASE HELP ME
Answer:
156 minutes
Step-by-step explanation:
So we need to create an equation to represent how Frank's phone company bills him
I will denote "y" as the total for his billI will denote "x" as the number of minutes Frank usesSo the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"
They then charge $0.06 for every minute he talks, this will be our "slope"
Combining everything into an equation, we have: y = 0.06x + 8
Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value
y = 0.06x + 8 → y - 8 = 0.06x → [tex]x=\frac{y-8}{0.06}[/tex] Then plugging in our y value we get [tex]x=\frac{17.36-8}{0.06}=\frac{9.36}{0.06}= 156[/tex]Frank used up a total of 156 minutes
If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
There are two complex roots.
There are two real roots.
There is one real root.
There is one complex root.
Answer:
There are two complex roots.
Step-by-step explanation:
When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.
SELECT THE EQUIVALENT EXPRESSION
(6^-4 x 8^-7)^-9
A. 6^36•8^63
B. 1/6^13•8^16
Answer:
A
Step-by-step explanation:
Calculate the products in the multiple choice and see if any equal the product in the problem.
Hence as the products calculated in choice A equal that in the problem;the answer is A
If M ⊥ N and L ∥ M, then _____
Answer:
L ⊥ N
Step-by-step explanation:
Since M and N are perpendicular, and L is parallel to M, anything that's perpendicular to M is also perpendicular to L. In fact, since we have parallel lines, we now have many sets of congruent angles, but the only ones we know the actual measurements of are the right angles from the perpendicular lines.
If a triangle has sides that are 21 and 6 what is the range for third side x?
Enter your answer without spaces in range format.
Example: 1<x<3
Answer:
15<x<27
Step-by-step explanation:
Rule for the sides of a triangle:
The sum of the two smallest sides of a triangle must be greater than the biggest side.
In this question:
Sides of 6, 21 and x. We have to find the range for x.
If 21 is the largest side:
Two smallest are 6 and x.
x + 6 > 21
x > 21 - 6
x > 15
If x is the largest side:
Two smallest and 6 and 21. So
21 + 6 > x
27 > x
x < 27
Then
x has to be greater than 15 and smaller than 27. So the answer is:
15<x<27
The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages ( x ) in the city has the following probability distribution.xf (x)00.8010.1520.0430.01The mean and the standard deviation for the number of electrical outages (respectively) are _____.
Answer:
Therefore, the mean and the standard deviation for the number of electrical outages (respectively) are 0.26 and 0.5765 respectively.
Step-by-step explanation:
Given the probability distribution table below:
[tex]\left|\begin{array}{c|cccc}x&0&1&2&3\\P(x)&0.8&0.15&0.04&0.01\end{array}\right|[/tex]
(a)Mean
Expected Value, [tex]\mu =\sum x_iP(x_i)[/tex]
=(0*0.8)+(1*0.15)+(2*0.04)+(3*0.01)
=0+0.15+0.08+0.03
Mean=0.26
(b)Standard Deviation
[tex](x-\mu)^2\\(0-0.26)^2=0.0676\\(1-0.26)^2=0.5476\\(2-0.26)^2=3.0276\\(3-0.26)^2=7.5076[/tex]
Standard Deviation [tex]=\sqrt{\sum (x-\mu)^2P(x)}[/tex]
[tex]=\sqrt{0.0676*0.8+0.5476*0.15+3.0276*0.04+7.5076*0.01}\\=\sqrt{0.3324}\\=0.5765[/tex]
Therefore, the mean and the standard deviation for the number of electrical outages (respectively) are 0.26 and 0.5765 respectively.
Suppose GRE Quantitative scores are normally distributed with a mean of 587587 and a standard deviation of 152152. A university plans to offer tutoring jobs to students whose scores are in the top 14%14%. What is the minimum score required for the job offer? Round your answer to the nearest whole number, if necessary.
Answer:
The minimum score required for the job offer is 751.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
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, we have that:
[tex]\mu = 587, \sigma = 152[/tex]
What is the minimum score required for the job offer?
Top 14%, so the minimum score is the 100-14 = 86th percentile, which is X when Z has a pvalue of 0.86. So X when Z = 1.08.
Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.08 = \frac{X - 587}{152}[/tex]
[tex]X - 587 = 1.08*152[/tex]
[tex]X = 751.16[/tex]
Rounding to the nearest whole number:
The minimum score required for the job offer is 751.
The mean family income for a random sample of 600 suburban households in Loganville shows that a 95 percent confidence interval is ($43,100, $59,710). Alma is conducting a test of the null hypothesis H0: µ = 42,000 against the alternative hypothesis Ha: µ ≠ 42,000 at the α = 0.05 level of significance. Does Alma have enough information to conduct a test of the null hypothesis against the alternative?
Answer:
[tex] 43100 \leq \mu \leq 59710[/tex]
And for this case we want to test the following hypothesis:
Null hypothesis: [tex] \mu =42000[/tex]
Alternative hypothesis: [tex] \mu \neq 42000[/tex]
For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000
Step-by-step explanation:
The confidence interval for the mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
And for this case the 95% confidence interval is already calculated as:
[tex] 43100 \leq \mu \leq 59710[/tex]
And for this case we want to test the following hypothesis:
Null hypothesis: [tex] \mu =42000[/tex]
Alternative hypothesis: [tex] \mu \neq 42000[/tex]
For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000
Answer: Yes, because $42,000 is not contained in the 95% confidence interval, the null hypothesis would be rejected in favor of the alternative, and it could be concluded that the mean family income is significantly different from $42,000 at the α = 0.05 level
Step-by-step explanation:
took the test
?????????????? Help me
Answer:
Step-by-step explanation:
When we use the distributive property for expanding polynomial products, we often use it in the form ...
(a +b)c = ac +bc
Here, we have ...
(a +b) = (x -1) ⇒ a=x, b=-1
c = (4x+2)
So, the proper application of the distributive property looks like ...
(a +b)c = ac +bc
(x -1)(4x +2) = x(4x+2) -1(4x+2) . . . . . different from the work shown
We must conclude ...
The distributive property was not applied correctly in the first step.
Find w and y without a calculator, will give brainliest for the correct answer
Answer: w=4, y=4
Step-by-step explanation:
For this problem, we can use the 30-60-90 triangle to find out what the length of w and y are. 30-60-90 triangle is a special triangle. The hypotenuse is 2x in length. It is directly opposite the right angle. The leg opposite of 60° is x√3 in length. The leg opposite of 30° is x. For all 3 legs, wherever you see x, you plug in the same number.
We can look at the figure as 2 separate triangles.
For the triangle on the right, we can see the hypotenuse is 8. Since we know the length of the hypotenuse is 2x, we can plug in 8 for 2x to find x.
2x=8
x=4
Now that we know x=4, we can directly plug it into the lengths above.
W is across from 30°. Above, we have established that the leg across from 30° has the length of x. Since x=4, w=4.
Since w=4, we can use this information to find the length of y by looking on the left triangle. Now, y is across from 30°. In the first paragraph, we stated that the leg across from 30° is x. Since we know x, we can directly plug it into this. After we plug it in, y=4.
If (-2, y) lies on the graph of y=3x, then y=
1/9
0-6
hi
if reduce equation of line is y = 3x
and if x = -2 so y = 3*-2 = -6
I need help please help me
Answer:
$2.40
Step-by-step explanation:
4.5/15=x/8
15x=36
x=2.4
Determine the quadrant in which the terminal side of the given angle lies.
115°
A. I
B. II
C. III
D. IV
Answer:
[tex] \frac{x}{115}= \frac{2\pi}{360}[/tex]
And solving for x we got:
[tex] x= \frac{115}{160} 2\pi = \frac{23}{36}pi= 0.639 \pi[/tex]
since the value obtained is higher than [tex]\pi/2[/tex] and lower than [tex] \pi[/tex] we can conclude that this angle would be in the second quadrant.
B. II
Step-by-step explanation:
In order to solve this problem we can write the angle in terms of pi using the following proportion rule:
[tex] \frac{x}{115}= \frac{2\pi}{360}[/tex]
And solving for x we got:
[tex] x= \frac{115}{160} 2\pi = \frac{23}{36}pi= 0.639 \pi[/tex]
since the value obtained is higher than [tex]\pi/2[/tex] and lower than [tex] \pi[/tex] we can conclude that this angle would be in the second quadrant.
B. II