Answer:
12. D
13. D
Step-by-step explanation:
12: 1/4 = .25
7/16 = .4375
5/8 = .625
3/4 = .75
6 * 7 = 42
42 + 4 = 46
46/7
Answer:
12. Its D (A= 1/4, B= 7/16. C= 5/8, and D= 3/4)
13. 42/7 or A
Explanation: I worked it out lol
What is the value of a(b - c) when b = 3, c = -3 and a = -2?
Answer:
-12
Step-by-step explanation:
a(b - c)
b = 3, c = -3 and a = -2
-2( 3- -3)
-2(3+3)
-2(6)
-12
Answer: -12
Explanation: It's a good idea to get into the habit of
using parenthses when substituting numbers in for variables.
If you have parenthses in your original problem,
change them to brackets as you substitute to avoid confusion.
Since your brackets replace your original parenthses,
your first step will be to simplify what's inside the brackets.
So we have (-2) [(3) - (-3)].
Simplifying inside the brackets, we get 6.
So we have (-2) [(6)].
Multiplying from here, our answer is -12.
An item costs $ 340 before tax, and the sales tax is $ 13.60 . what is the sales tax rate
yeahStep-by-step explanation:
Answer:
4%
Step-by-step explanation:
To find the sales tax rate you need to divide the tax amount by the item amount so in this case it is 13.60/340 with an answer of 0.04 meaning the tax rate is 4%. Hope this helps!
Help me with this question please
Answer:
1 blank. 24
2 blank. 42
3 blank. 56
Step-by-step explanation:
This question is a matter of ratios
The ratio being 7:6
7= # of hamburgers
6= # of hotdogs
To find each answer, you have to set the ratios equal to each other
7/6=28/?
7 times what equals 28
7 times 4 equals 28, so then you multiply 4 by 6 to get you number of hotdogs in that equation
You'll repeat the process for all the other equations as well
Five computer program modules are ranked as M1, M2, M3, M4, and M5 according to the ascending order of effort required to debug them, among which M1 requires the least amount of effort and M5 requires the most amount of effort. A software engineer must randomly select three program modules from the five modules. He (or she) does not know the amount of effort each module costs when selecting.
A) What is the sample space?
B) Let A be the event that one selected module requires the least amount of effort. List the outcomes in A, and calculate the probability of A.
C) Let B be the event that the one selected module requires the most effort. List the outcomes in B, and calculate the probability of B.
D) List the outcomes in the compound event AnB, and calculate the probability of it.
E) List the outcomes in the compound event AUB, and calculate the probability of it.
F) List the outcomes in the compound event AnB, and calculate the probability of it.
G) List the outcomes in the compound event AUB, and calculate the probability of it.
H) Are events A and B mutually exclusive? Explain why?
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Technician selects three out of 5 systems
In C(5,3)=10ways, this can be achieved
In part a:
Space sample chooses 3 of a 5 systems
[tex](M_1, \ M_2,\ M_3),[/tex][tex](M_1,M_2,M_4) \ (M_1,M_2,M_5) \ (M_1,M_3,M_4) \ (M_1,M_3,M_5),[/tex][tex](M_1,M_4,M_5) \ (M_2,M_3,M_4)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5)}[/tex]
In point b:
A =MODULE WHICH INCLUDE M1 minimal amount of effort
Outcomes probable =
[tex](M_1,M_2,M_3),\ (M_1,M_2,M_4) \ (M_1,M_2,M_5)\ (M_1,M_3,M_4)\\\\(M_1,M_3,M_5),\ (M_1,M_4,M)5)\ =\ 6[/tex]
[tex]\to p(A)=\frac{6}{10}\\\\[/tex]
[tex]=0.6[/tex]
In point c:
B = highest effort that is [tex]M_5[/tex]
Potential result=
[tex](M_1,M_2,M_5) \ (M_1,M_3,M_5) \ (M_2,M_3,M_5)\(M_2,M_4,M_5) \\ (M_2,M_4,M_5), \ (M_3,M_4,M_5) \ =\ 6 \\\\[/tex]
[tex]\to B= \frac{6}{10} \\\\[/tex]
[tex]=0.6[/tex]
[tex]\to P(B)=10[/tex]
In point d:
[tex]\to \ A \ intersection \ B=(M_1,M_2,M_5), \ (M_1,M_3,M_5) \ ,(M_1,M_4,M_5)[/tex]
[tex]\to A (A \ intersection \ B) = \frac{3}{10} \\\\\ \ \ \ \ \[/tex]
[tex]=0.3[/tex]
In point e:
[tex]\to (A \cup B) = (M_1,M_2,M_3),\ (M_1,M_2,M_4)\ (M_1,M_2,M_5)(M_1,M_3,M_4)\ (M_1,M_3,M_5), \\ (M_1,M_4,M_5)\ (M_2,M_3,M_5) \ (M_2,M_4,M_5),(M_3,M_4,M_5) \ = \ 9[/tex][tex]\to P(A \cap B)=\frac{9}{10}[/tex]
[tex]= 0.9[/tex]
In point f:
[tex]\to (A\cap B) = \frac{3}{10}[/tex]
[tex]= 0.3[/tex]
In point g:
[tex]\to (A \cup B) = \frac{7}{10}[/tex]
[tex]=0.7[/tex]
In point h:
[tex]\to p(A \cap B) = 0.3 \neq 0[/tex]
A large glass marble made in West Virginia has a diameter of 2 cross times 10 to the power of minus 2 end exponent meters. The state of West Virginia is about 4 cross times 10 to the power of 5 meters in length. Which number is closest to how many large glass marbles it would take to measure the length of West Virginia?
Answer:
20000000 large glass marbles
Step-by-step explanation:
Given
[tex]Diameter = 2 * 10^{-2}m[/tex] --- Marble
[tex]Length = 4 * 10^5m[/tex] --- Virginia
Required
Determine the number or marbles that measures the length of Virginia
This is calculated as thus:
[tex]Number = \frac{Length}{Diameter}[/tex]
[tex]Number = \frac{4 * 10^{5}m}{2 * 10^{-2}m}[/tex]
[tex]Number = \frac{4 * 10^{5}}{2 * 10^{-2}}[/tex]
[tex]Number = \frac{2 * 10^{5}}{10^{-2}}[/tex]
Apply Law of Indices
[tex]Number = 2 * 10^{5 - (-2)}[/tex]
[tex]Number = 2 * 10^{5 +2}[/tex]
[tex]Number = 2 * 10^7[/tex]
[tex]Number = 2 * 10000000[/tex]
[tex]Number = 20000000[/tex]
What is 20.305 in expanded form
Answer:
5,000 + 300 + 20 + 5 = 5,325
Step-by-step explanation:
The quantity 32 minus 16 multiplied by 9
The value of the statement the quantity 32 minus 16 multiplied by 9 is
- 112.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The given statement is the quantity 32 minus 16 multiplied by 9.
The numerical form of the statement is,
= (32 - 16×9).
First, we'll multiply according to PEMDAS rule.
= (32 - 144).
= - 112.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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The value of the statement the quantity 32 minus 16 multiplied by 9 is
- 112.
We have,
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The given statement is the quantity 32 minus 16 multiplied by 9.
The numerical form of the statement is,
= (32 - 16×9).
First, we'll multiply according to PEMDAS rule.
= (32 - 144).
= - 112.
learn more about numerical expressions here :
brainly.com/question/29199574
#SPJ6
Please help!!!!!! I will make you brainly!!!!!!!!!!!!
Answer:
The last option
Step-by-step explanation:
Trust me, I know it is correct
Mark and Robyn used base-ten blocks to show that 200 is 100 times as much as 2
Ex
Whose model makes sense? Whose model is nonsense? Complete the explanation.
Step
Mark's Work
Robyn's Work
М.
th
Te
200
200
Mark's
model does not make sense. That person's model shows 20 instead of 200
That person's model shows that 200
is 10 times as much as
model makes sense. That person's model shows that 200 is
times as
much as 2
Answer:
See Explanations
Step-by-step explanation:
The steps in the question isn't clear enough, however the question is answerable.
From the question, we understand that one model shows that:
200 is 10 times 20
While the second model shows that
200 is 10 times 2
The first model that says
200 = 10 times 20 makes sense.
This is so, because 200 = 20 * 100
While the other model which says
200 = 10 * 2 is nonsense.
This is so because, 200 ≠ 10 * 2
For each part of this problem, show all your work and write a probability statement.
Investigators recently reported the results a study designed to assess whether or not the herb, St. John’s Wort is effective in treating moderately severe cases of depression. The study involved 338 subjects, randomly assigned to receive one of three treatments: St. John’s Wort, Zoloft, or a placebo. The authors were primarily interested in whether St. John’s Wort performed better than placebo and included Zoloft as a "way to measure how sensitive the trial was to detecting antidepressant effects." Their results are presented in the table below:
St. John's Wort Placebo Zoloft Total
Full Response 27 37 27 91
Partial Response 26 13 26 55
No Response 70 66 56 192
Total 113 116 109 138
1. What is the probability that a randomly selected subject had no response?
2. What is the probability that a randomly selected subject was treated with Zoloft and had a full response?
3. What is the probability that a randomly selected subject had a full or partial response given they were treated at St. John's Wort?
4. What is the probability that a randomly selected subject who didn't have a full response was treated with Placebo?
Answer:
Follows are the answer to the given point.
Step-by-step explanation:
In point 1:
[tex]\to P( \text{number of response}) = \frac{192}{338} \\[/tex]
[tex]= \frac{96}{169}\\\\= 0.56[/tex]
In point 2:
[tex]\to P| \text{(Zoloft and fill response)}| = \frac{27}{338}[/tex]
[tex]= 0.079[/tex]
In point 3:
[tex]\to P(\frac{\text{ full or partial}}{\text{St. John's Wort}}) = \frac{\frac{43}{338}}{\frac{113}{338}}[/tex]
[tex]= \frac{43}{338} \times \frac{338} {113}\\\\= \frac{43}{113}\\\\= 0.38[/tex]
In point 4:
[tex]\to P(\frac{\text{Placebo}}{\text{full or response}}) = P(\frac{(\text{Placebo} \cap \text{full or response})} {\text{p(full response)}})[/tex]
[tex]= \frac{\frac{79}{338}}{ 1- \frac{91}{338}} \\\\ = \frac{\frac{79}{338}}{ \frac{338-91}{338}} \\\\ = \frac{\frac{79}{338}}{\frac{247}{338}} \\\\ = \frac{79}{338} \times \frac {338}{247} \\\\= \frac{79}{274} \\\\ = 0.28[/tex]
Can someone help me with this problem pleaseee
Answer:
22.11 percent
Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x?
A)because 18 times 100 is equal to 5 times x, which means that x is equal to 36
B)because 18 times 100 is equal to 5 times x, which means that x is equal to 360
C)because 18 times x is equal to 5 times 100, which means that x is equal to 36
D)because 18 times x is equal to 5 times 100, which means that x is equal to 360
Answer:
Because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Step-by-step explanation:
18/5=x/100
Cross product
18*100=5*x
1800=5x
x=1800/5
x=360
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
18 times 100 is equal to 5 times x, which means that x is equal to 360
Step-by-step explanation:
Find the lowest common multiple of 35 and 55
Answer: The lowest common multiple between 35 and 55 is 385.
4x⁴• 3x⁸
_______
6x⁵
Answer:
2x^7
can you also please mark me as brainliest?
What do you need to do to rationalize a denominator with a cube root in it?
Answer:
When a denominator has a higher root, multiplying by the radicand will not remove the root. Instead, to rationalize the denominator we multiply by a number that will yield a new term that can come out of the root. For example, with a cube root multiply by a number that will give a cubic number such as 8, 27, or 64.
x/s= -10
the first one is a fraction
Answer:
x=-10s. s=-x/10
Step-by-step explanation:
Math Questions. 5+ points
Here are the total scores of 10 students in an introductory statistics course.
62 93 54 76 73 98 64 55 80 71
Previous experience with this course suggests that these scores should come from a distribution that is approximately Normal with mean 72 and standard deviation 10. The grading policy says that the cutoffs for the other grades correspond to the following: bottom 5% receive F, next 15% receive D, next 35% receive C, and next 30% receive B. These cutoffs are based on the N(72, 10) distribution.
A) Give the cutoffs for the grades in this course in terms of standardized scores.
B) Give the cutoffs in terms of actual total scores.
C) Do you think that this method of assigning grades is a good one?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 72
Standard deviation (sd) = 10
Grading cutoff policy:
bottom 5% receive F
next 15% receive D
next 35% receive C
next 30% receive B
A) Give the cutoffs for the grades in this course in terms of standardized scores.
Standardized score for grade cutoff:
Locating the Zscore for the proportions on the z table :
Bottom 5% = 0.05 ; corresponding Zscore = - 1.645
next 15% receive D = (5 +15)% 0.20 ; corresponding Zscore = - 0.84
next 35% receive C = (20+35)% = 0.55 ; corresponding Zscore = 0.13
next 30% receive B = (55 + 30)% = 0.85 ; Corresponding Zscore = 1.04
B) Give the cutoffs in terms of actual total scores.
Recall:
Zscore = (x - m) /sd ; where x = actual score
x = sd*z + m
For F:
10*(-1.645) + 72 = 55.55
For D:
10*(-0.84) + 72 = 63.6
For C:
10*(0.13) + 72 = 73.3
For B:
10*(1.04) + 72 = 82.4
C) Do you think that this method of assigning grades is a good one?
Yes, it is good in terms of expressing scores around the mean such that score below are negative and those above are positive. However, it is a little bit ambiguous.
Small, energy-efficient, Internet-centric, new computers are increasingly gaining popularity (The New York Times, July 20, 2008). Some of the biggest companies are wary of the new breed of computers because their low price could threaten PC makers’ already thin profit margins. An analyst comments that the larger companies have a cause for concern since the mean price of these small computers has fallen below $350. She examines six popular brands of these small computers and records their retail prices as given below:
$322 $269 $373 $412 $299 $389
Required:
a. What assumption regarding the distribution of the price of small computers is necessary to test the analyst’s claim?
b. Select the appropriate null and the alternative hypotheses to test the analyst’s claim.
1. H0: μ = 350; HA: μ ≠ 350
2. H0: μ ≤ 350; HA: μ > 350
3. H0: μ ≥ 350; HA: μ < 350
c. Calculate the value of the test statistic.
d. At the 5% significance level, what is the critical value(s)?
Answer:
(a) The assumption regarding the distribution of the price of small computers which is necessary to test the analyst’s claim are;
The data given must follow a normal distribution.The sample values are taken from the population data only.(b) H0: μ ≥ 350; HA: μ < 350
(c) The value of the t-test statistic is -0.263.
(d) At a 5% significance level, the t table gives a critical value of -2.015 at 5 degrees of freedom for the left tailed test.
Step-by-step explanation:
We are given that an analyst comments that the larger companies have a cause for concern since the mean price of these small computers has fallen below $350.
She examines six popular brands of these small computers and records their retail prices as given below:
$322, $269, $373, $412, $299, $389.
(a) The assumption regarding the distribution of the price of small computers which is necessary to test the analyst’s claim are;
The data given must follow a normal distribution.The sample values are taken from the population data only.(b) Let [tex]\mu[/tex] = population mean price of these small computers
So, Null Hypothesis, [tex]H_0[/tex] : μ ≥ 350 {means that the mean price of these small computers is more than or equal to $350}
Alternate Hypothesis, [tex]H_A[/tex] : μ < 350 {means that the mean price of these small computers has fallen below $350}
(c) The test statistics that will be used here is one-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean price = [tex]\frac{\sum X}{n}[/tex] = $344
s = sample standard deviation = [tex]\sqrt{\frac{\sum(X-\bar X)^{2} }{n-1} }[/tex] = $55.89
n = sample of prices = 6
So, the test statistics = [tex]\frac{344-350}{\frac{55.89}{\sqrt{6} } }[/tex] ~ [tex]t_5[/tex]
= -0.263
The value of the t-test statistic is -0.263.
(d) Now, at a 5% significance level, the t table gives a critical value of -2.015 at 5 degrees of freedom for the left tailed test.
Since the value of our test statistics is more than the critical value of t as -0.263 > -2.015, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the mean price of these small computers is more than or equal to $350.
(look at image) gggggggggggg
Answer:
hard to see a little
Step-by-step explanation:
A sum of Rs. 1800 borrowed for 2 years at the rate of 12 % per annum. Find
the interest?
Answer:
72
Step-by-step explanation:
principal (P)=1800
time(T)=2yrs
rate(R)=2%
SI=?
now,
SI=PTR÷100
= 1800×2×2÷100
=7200÷100
=72
so interest is 72.
hope this will help you :D
Which statement correctly compares the function shown on this graph with the function y =5x+5.
Answer: D
Step-by-step explanation:
The function shown on the graph has the same rate of change but lower starting point
the answer is D!
the function shown on the graph has the same rate of change but a lower starting point.
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tile for 99 square feet. Which statement about the amount of tiles is correct.
sorry dont have time to type the answers but if you got this question and know the answer just tell me!
Answer:
AAAAAAAAAA
Step-by-step explanation:
What is the value of 5/6 divided by 3/4
Answer:
the answer is 1 & 1/9! hope that helps! :D
Answer:10/9
Step-by-step explanation:
How can You use mental math for 878 + 534=
Answer:
the answer would be 1412
Step-by-step explanation: Take the '4' in 534, add it to the 878 in your head. Thus resulting in 882. Then add the 30 to this number. After adding 30, you should get 912. Then add 500, and your answer is 1412.
HELP ME ASAP PLSSSSSSSS
Answer:
The answer is B.50
Step-by-step explanation
Replace x with 50
(50+20)=70+50 from the other lone xFind z by subtracting 180 by the external angle (150) and get 30Add to get 180 which is what a triangle adds up toGiven that every seventh person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4
decimal places, if necessary.
Answer:
0.857
Step-by-step explanation:
Given that :
Every seventh person gets a free box of popcorn ; then not getting a free box of popcorn means you're not the 7th person inline.
However, since the order of arrangement is unknown, but one person out of every 7 gets ;
Probability of getting a popcorn is hence ;
p(getting popcorn) = 1/7
Probability of not getting will then be its complement :
1 - (1/7) = 6/7 = 0.857
3. Solve the equation
| 3x - 1| + 5 = 3
Answer:
Its not possible
Step-by-step explanation:
a absolute value equation cant equal a negative number
Solve each inequality below.
7. -4x < 32
O x 28
OX-8
O X 36
O X8
Step-by-step explanation:
2nd one I think.........?
16 inches to 2 feet. Translate the ratio into a fraction in simplest form
Answer:
2/3
Step-by-step explanation:
there are 12in in a foot so
16/24
simplify
8/12
2/3