Answer:
16
Step-by-step explanation:
This is because the ratio of black to white can be set up as 1/4, for every one black bead there is 4 white so what is 1/4x that equals 4? simple, x=16 because 16/4 equals to 4 so it would be 4 black beads to 1 white bead.
In a class of 30 students 16 have a cat and 15 have a dog there are 11 students who have a cat and a dog what is the probability that a student has a dog given they do not have a cat?
The probability that a student has a dog given they do not have a cat is 0.1333.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of students = 30
[tex]n(s)=30[/tex]
Number of students have cat = 16
Number of students have dog = 15
Number of students have a cat and a dog = 11
The event is the probability that a student has a dog given they do not have a cat,
[tex]n(e)=15-11[/tex]
⇒ [tex]4[/tex]
Thus the probability that a student has a dog given they do not have a cat is
⇒ [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{4}{30}[/tex]
⇒ [tex]P(e)=0.1333[/tex]
Hence we can conclude that the probability that a student has a dog given they do not have a cat is 0.1333.
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solve (x+5)/3 = 4 for x
please help asap
Answer:
x=7, because 7 plus 5 is 12 and 12 divided by 3 is 4
Step-by-step explanation:
7+5=12/3=4
First to answer get brainliest.
If the equation given to you as a reference is, p = x - 3 + (14*29), and x is 7, then what is p? I made it fairly easy so don't disappoint me.
Answer:
see explanation
Step-by-step explanation:
p = x - 3 + (14*29)
substitute 7 for x
p=7-3+(14*29)
p=410
please help me please
Answer:
18.75
Step-by-step explanation: Because the height of the shape is both the same, you can just find the area like the normal rectangle.
Answer:
12.5
Step-by-step explanation:
If you use the formula you get 12.5 formula is A=a+b/2xh that will give 12.5
For each problem, select the best response.
1. Does 30 minutes of aerobic exercise each day provide significant improvement in mental performance? To investigate this issue, a researcher conducted a study with 150 adult subjects who performed aerobic exercise each day for a period of six months. At the end of the study, 200 variables related to the mental performance of the subjects were measured on each subject and the means compared to known means for these variables in the population of all adults. Nine of these variables were significantly better (in the sense of statistical significance) at the ???? = 0.05 level for the group that performed 30 minutes of aerobic exercise each day as compared to the population as a whole, and one variable was significantly better at the ???? = 0.01 level for the group that performed 30 minutes of aerobic exercise each day as compared to the population as a whole. It would be correct to conclude:_____.
a. that these results would have provided very good statistical evidence that 30 minutes of aerobic exercise each day provides some improvement in mental performance if the number of subjects had been larger. It is pre-mature to draw statistical conclusions from studies in which the number of subjects is less than the number of variables measured.
b. that there is very good statistical evidence that 30 minutes of aerobic exercise each day provides some improvement in mental performance.
c. that there is very good statistical evidence that 30 minutes of aerobic exercise each day provides improvement for the variable that was significant at the α = 0.01 level. We should be somewhat cautious about making claims for the variables that were significant at the α = 0.05 level.
d. none of the above.
2. The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) μμ and standard deviation σ = 0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5, but you believe that the mean nicotine content is actually higher than advertised. To explore this, you test the hypotheses H0 : μ = 1.5, Ha : μ > 1.5 and you obtain a P-value of 0.052. Which of the following is true?
A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
B. You have failed to obtain any evidence for Ha.
C. This should be viewed as a pilot study and the data suggests that further investigation of the hypotheses will not be fruitful at the α = 0.05 significance level.
D. At the α = 0.05 significance level, you have proven that H0 is true.
3. An engineer designs an improved light bulb. The previous design had an average lifetime of 1200 hours. The new bulb had a lifetime of 1200.2 hours, using a sample of 40,000 bulbs. Although the difference is quite small, the effect was statistically significant. The explanation is:____.
a. that the sample size is very large.
b. that the mean of 1200 is large.
c. that new designs typically have more variability than standard designs.
d. all of the above.
Answer:
1. d. none of the above.
2. A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
3.a. that the sample size is very large.
Step-by-step explanation:
1. This experimental analysis is incomplete so none of the options provides the best solution. Therefore the correct answer is choice D.
2. The smallest value which provides basis for rejection for H0 at ∝= 0.05 is P= 0.05.
As P= 0.052 but we are not sure about other variables such as sample size. So option A is the best choice
A. There is some evidence against H0, and a study using a larger sample size may be worthwhile.
3. A sample of 40,000 bulbs will provide a wider range for the results. Therefore the sample size is too large to accurately predict the results .
Hence choice a gives the best answer that the sample size is too large.
3. Use congruent triangles to find side lengths.
Part I: Draw the two congruent triangles described in the box. Label their vertices and side lengths.
(2 points)
AABC AEFG
AB = 6, GF = 8, AC = 10.
The value on the congruent triangles are BC = 8, EF = 6, and EG = 10.
How to illustrate the graph?It should be noted that a triangle is congruent if they have the same length and the same angles
In this case, triangles ABC and EFG are congruent.
Here, BC = 8
EF = 6
EG = 10
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Jake has 40 books in his collection. If 60% of the books are about sports, how many books are NOT
about sports?
It takes half of a yard of ribbon to make a bow, how many bows can be made with 7 yards of ribbon
Answer:
14
Step-by-step explanation:
Thanks if you helped ily
Answer:
R.Jordan
Step-by-step explanation:
He/she owes the bank $54.31, compared to M. Palmer who owes the bank $56.72, and B. Leftwich, who owes the bank $74.19.
R.Jordan owes the bank the least amount of money.
Hope that helps!
-Sabrina
Find the exact perimeter of the circle with a radius of 5 and round your answer to 2 decimal places
Answer:
31.42
Step-by-step explanation:
gina sees a rectangular quilt with an area of 3,528 square inches.The length of the quilt is 72 inches. what is the width of the quilt
Answer:
Step-by-step explanation:
90 x 108 = 10,368 x .015 = 155.52
There is a $35 minimum for all quilting.
Thread will be matched as closely as possible to your quilt. There will be a $5.00 minimum charge on thread. Variegated threads will be a $7.50 charge. We like to use cone threads so please do not bring small spools to be used.
Battings:
We keep the following batts in stock as prepackaged, precut sizes:
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The following are sizes available:
Crib 46 x 60 Full 92 x 96 Craft 36 x 46
Throw 60 x 60 Queen 92 x 108
Twin 72 x 92 King 121 x 121
Linings:
If you supply the lining, please be sure it measures at least 4” larger than the length and width of the quilt top. We can also supply the lining from our own fabric at the retail cost. If the lining requires piecing, we can do this for a $10 per seam fee.
Bias Bindings can be put on at Quilt ‘N Stitch. We provide the following services. (You must provide the fabric for the binding.)
1. The fee to half bind in $.15 per linear inch. (Half bind is where we attach the binding to the quilt front and you sew down the back.
2. If we do complete binding, finishing on the machine the fee is $.20 per linear inch.
3. If we do complete binding, finishing by hand the fee is $.25 per linear inch..
Yardage required for binding: 60” x45” — 1/2 yard: 90” x 72” — 5/8 yard: 81” x 96” — 2/3 yard: 90” x 108” — 3/4 yard: 120” x 120” — 1 yard.
Answer:
49 inches is the width
Step-by-step explanation:
3,528÷72=49
49*72=3,528
hope this helps <3
what are the solutions of x^2-2x+2=0
A rectangular prism has a length of 12 feet, a width of 6 feet, and a height of 2 feet.
What is the volume of the prism?
Enter your answer.
Hello, here with geometry questions!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
5/12
Step-by-step explanation:
tanZ = XY/YZ = 15/36 = 5/12
jay has an album that holds 600 coins. Each page of the album holds 6 coins. If 39% of the album is empty, how many pages are filled with coins ?
____ pages are filled with coins
Pls help me with this
9514 1404 393
Answer:
61
Step-by-step explanation:
If there are 6 coins on each page, then the number of pages for 600 coins is ...
(600 coins)/(6 coins/page) = 100 pages
__
If 39% are empty, then 100% -39% = 61% are filled.
The number of filled pages is ...
61% × 100 = 61/100 × 100 = 61 . . . . pages filled
_____
Comment about percent
You can think of the percent symbol (%) and "per 100" (/100) as being interchangeable. 61% = 61/100
("Cent" is used to signify one of 100 parts. A cent is 1/100 of a dollar, for example. In land area, a cent is 1/100 of an acre. Then, "percent" can be thought of as "per cent" or "per 100 parts".)
Enter an
algebraic expression for the word expression.
9 decreased by n
The expression is
Answer:
9 - n
Step-by-step explanation:
could you make me brainliest if this helped? :)
What TWO steps do you take to solve the following equation: 5x - 3 = 12
Answer:
First add 3 to each side
Then divide each side by 5
Step-by-step explanation:
5x - 3 = 12
First add 3 to each side
5x-3+3 = 12+3
5x = 15
Then divide each side by 5
5x/5 = 15/5
x = 3
Answer:
3
Step-by-step explanation:
5x = 12 + 3
x = 15/5
x = 3
A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.
Answer:
(195.733, 197.547)
Step-by-step explanation:
Given that:
Mean, m = 196.64 K
Standard deviation, s = 0.66 K
Sample size, n = 6
Confidence interval :
Mean ± margin of error
Margin of error =Tcritical * s/sqrt(n)
Tcritical at α = 98% ; df = 6 - 1 = 5
Tcritical = 3.3648
Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066
Confidence interval = 196.64 ± 0.9066
Lower boundary = 196.64 - 0.9066 = 195.733
Upper boundary = 196.64 + 0.9066 = 197.547
(195.733, 197.547)
Given the measurement :
X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39
Mean = ΣX / n = 1179.84 / 6 = 196.64
Yes, confidence interval will be valid as theean obtained is within the calculated interval
For the function f(x) = x2
Find f(5) =
Find f(-5)
Answer:
f(5)=(5)²=25
f(-5)=(-5)²=25
NB. Some teachers don't want 2 equals on one line, if it's your case please don't write the 2 equals on the same line
factorise fully 24squared + 18x
Answer:
18(32+ x)Step-by-step explanation:
24 square + 18x 576 + 18 x18(32+ x)Lorenzo's Survey Results
Food Number of Students
Pizza
8
Hamburger
12
Pasta
14
Steak
6
Lorenzo recorded the favorite food of
students in his class. According to the
results of the survey, what percent of the
students chose Hamburger?
Answer:
30%
Step-by-step explanation:
First, add all of the numbers together and you get 40. After, you divide 12 by 40 and you get 0.3. Next, you have to multiply that by 100 and you get 30%.
Write an expression using an expoent that is equivalent to 9x9x9x9x9x9x9.
Answer:
try nine to the seventh power
Step-by-step explanation:
tell me if it works
The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Give your answer in terms of pi.
Answer:
31.42 m
Step-by-step explanation:
Since, the path is circular :
The distance traveled can be I tin by taking the Circumference of the path :
Circumference, C = πd
d = diameter = 20 meters
C = π * 20
Since penguin swam. Only halfway around the island.
Hence, distance traveled = 1/2 * C
= 1/2 * 20π
= 31.42 m
Please answer quick and just write explanation quick pls hurry quick for brainlessly
Answer: B
Step-by-step explanation: Thats the same thing i got but ik the answer its:
Answer:
A) (x+3)(x-2)
Step-by-step explanation:
If you factor correctly, you would get this answer. You can also try to unfactor all the answer choices to get the answer as well.
plz help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a 12/20 = 0.6
b 21/35 = 0.6
c 28.8/48 = 0.6
There are 9,481 eligible voters in a precinct. 500 were selected at random and asked to indicate whether they planned to vote for the Democratic incumbent or the Republican challenger. Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent. Using an 80% confidence level, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent
Answer:
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.
This means that [tex]n = 500, \pi = \frac{350}{500} = 0.75[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.725[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.28\sqrt{\frac{0.75*0.25}{500}} = 0.775[/tex]
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
Can anyone help me out with permutations and combinations. I really need help. A Levels
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
pls can someone help me with this I have 10 mins pls!!!
Answer:
I THINK THIS WILL BE THE ANSWER
Step-by-step explanation:
have a nice day and also i have mathswatch too
find the value of the expression below for x = 10
x'2 - 2(x+5)
A:10
B:70
C:85
D:90
-12(5/6a-7/8)+1/14(3 1/2-1 2/5)
Answer:
10a + 10.65
Step-by-step explanation:
- 12(5/6a - 7/8) + 1/14(3.5 - 1.4)
- 12(5/6a - 7/8) + 0.25 - 0.1
10a + 10.5 + 0.25 - 0.1
10a + 10.65