Density" of the given granite block is 2.7g/cm
3
.
Explanation:
Density of an object is defined as the mass occupied per unit volume. “Density” is represented by “ρ”. Mathematically, \rho=\frac{m}{v}ρ=
v
m
where, “m" mass of an object and "v" is volume of an object.
Given that,
Dimensions of the block are 20 cm, 5 cm and 10 cm.
\text { Volume of the block is } l \times b \times h Volume of the block is l×b×h
\text { Volume of the block is } 20 \times 5 \times 10 Volume of the block is 20×5×10
\text { Volume of the block is } 1000 \mathrm{cm}^{3} \text { . } Volume of the block is 1000cm
3
.
Mass of the block is 2700 g.
Substitute the given values in \rho=\frac{m}{v}ρ=
v
m
to find density of a block.
\rho=\frac{2700}{1000}ρ=
1000
2700
\rho=2.7 \mathrm{g} / \mathrm{cm}^{3}ρ=2.7g/cm
3
\text { "Density" of the given granite block is } 2.7 \mathrm{g} / \mathrm{cm}^{3} "Density" of the given granite block is 2.7g/cm
3
ONLY answer if you know! Which of the following will have a negative result? (1 point)
O-8-(-10)
O 12-14
07-(-3)
Maria tests the effectiveness of an anti-depression drug by recruiting 500 participants and randomly assigning half e participants to take Drug A for 1 month and the other half to take a placebo for 1 month. At the end of the month, depression levels are recorded. Overall, participants who received Drug A had depression scores of M-32.12, SD- 10.58 and those you received the placebo had depression scores of M- 34.29. SD 11.10, t(498) 2.17,p .01 (one tailed], d19. Faced with these data, Maria needs to write a report in which she interprets the data. Which of the following is the best summary of these data?
A. The p value is very small, showing that there is only a 1% chance of a Type l error. we can be 99% confident that the drug significantly reduces depression.
B. The results of the t-test are significant, but the effect size is small. This study should be replicated with a larger sample size to increase statistical power.
C. The results of the t-test are significant, but the effect size is small. The drug does lower depression, but it is not clear if the reduction is enough to warrant use of the drug.
D. The small p value and the small effect size suggest that the observed difference between the drug adplacebo groups are likely to be due to sampling error. This study should be replicated with a larger sample size.
Answer:
D. The small p value and the small effect size suggest that the observed difference between the drug placebo groups are likely to be due to sampling error. This study should be replicated with a larger sample size.
Step-by-step explanation:
The p value is determined for any test before making a conclusion. If the p-value is smaller than critical value then we reject the null hypothesis which means that drug is not effective for the reducing depression. A very small p-value usually lesser than 0.05 indicates strong evidence against the null hypothesis.
2 2/5 x 3/4
plz help me! and plz show your work.
Answer:1.8
Step-by-step explanation:
HELP PLEASE CORRECT ANSWER PLEASE
Answer:
96 units^2
Step-by-step explanation:
(8*24)/2
4. You are playing poker with some friends and are about to be delt 5 cards from a
well - shuffled deck.
A) How many different hands are possible?
B) How many hands contain clubs?
Answer:
hi
Step-by-step explanation:
If the order did matter, we'd be talking about permutations and the o... ... Paul Richard McElravy, Started playing poker with friends in 1982, casinos in 1991. ... There are 2,598,960 different combinations of five card poker hands. ... How many 5 card hand dealt from a standard deck of 52 playing cards contain exactly the ...
i think b
Thirty eight years ago George was 14. how old is he now
Answer:
I believe you need to add 38 and 14 together to get answer of 52 years old.
Find the area of the shape below.
Give your answer in terms of pi
6cm
8cm
32cm
The diagram is not drawn to scale.
9514 1404 393
Answer:
164π cm²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...
1/2A = (1/2)(π)(d/2)² = (π/8)d²
The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.
The total area will be ...
area of largest + area of middle-size - area of smallest
= (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²
The area of the shape is 164π cm².
-5n = 15
show your work
Answer:
n=-3
Step-by-step explanation:
divide both sides
-5n/(-5)=15/(-5)
divide both sides
n=15/(-5)
n=-3
The ratio of the angles of a triangle is 3:7:2. What is the measure of the largest angle?
Answer:
the largest angle is 150°
5th grade math. correct answer will be marked brainliest
Answer: 1 1/4
5/4
Step-by-step explanation:
[tex]\frac{1}{2} + \frac{3}{4}[/tex] (im assuming its 3/4)
make 1/2 into 2/4 so its easier to add
2/4 + 3/4 = 5/4 or 1 1/4
Please help What is a= and b=?
ABCDE~GHJDF. complete the statements
i figured out a. is angle B but i cant figure out statement 2 pls help!!!!
Answer:
DC
Step-by-step explanation:
If you consider that we're looking at the same shape at two different scales, then we can simply look at which sides correlate with one another.
In the smaller shape, GH is in the same place as AB in the bigger one.
Similarly, the smaller shape has DJ in the same place that the larger one has DC. This means that dC is the answer to question b.
A line has a slope of 2/3 and passes through the point (6,11)
Answer:
y=2/3x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-11=2/3(x-6)
y=2/3x-12/3+11
y=2/3x-4+11
y=2/3x+7
Miguel is driving his motorboat across a river. The speed of the boat in still water is 13 mi/h. The river flows directly south at 5 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? (Not drawn to scale)
a. 21 mi/h; 13.9 north of west
b. 13.9 mi/h; 21 south of west
c. 13.9 mi/h; 21 north of west
d. 21 mi/h; 13.9 south of west
Answer: B
Step-by-step explanation:
13.9 mi/h; 21 south of west
According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience, the probability for each child to pass the fitness test is 0.75 and whether a child can pass
the test is independent with the test result of other children.
(a) Many test sessions will be conducted regularly, each with 10 independent children. Find the expectation
and standard deviation of the number of children can pass the fitness test in a test session.
(b) Most likely, how many children can pass the fitness test in a test session? Justify your answer by
comparing the two outcomes with the relatively high probability.
(c) Find the probability that less than 8 children can pass the fitness test in one test session.
Answer:
According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience
Step-by-step explanation:
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine is known to have 99 green balls and 78 red balls. After each draw, the color of the ball is noted and the ball is put back for the next draw. You win a prize if more than 61% of the draws result in a green ball. a. Calculate the probability of getting more than 61% green balls.
Answer:
0.0869 = 8.69% probability of getting more than 61% green balls.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The machine is known to have 99 green balls and 78 red balls.
This means that [tex]p = \frac{99}{99+78} = 0.5593[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.5593[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373[/tex]
a. Calculate the probability of getting more than 61% green balls.
This is 1 subtracted by the pvalue of Z when X = 0.61. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.61 - 0.5593}{0.0373}[/tex]
[tex]Z = 1.36[/tex]
[tex]Z = 1.36[/tex] has a pvalue of 0.9131
1 - 0.9131 = 0.0869
0.0869 = 8.69% probability of getting more than 61% green balls.
A coin is tossed 4 times. Find the probability that a maximum of one head (exactly one head or no head) turns up.
(A) 0.375 (B) 0.25 (C) 0.50 (D) 0.0625 (E) 0.3125
giving brainliest!!!
Answer:
133 square centimeters
Step-by-step explanation:
Answer:
Surface A≈146.25 square centimeters
Step-by-step explanation:
2 2/5 - 1 1/3 + 3 1/2=
Answer:
16.2
Step-by-step explanation:
I think it is the answer. not sure
Pls help i really need this
Answer:
5/7
Step-by-step explanation:
take the basic fact 5 - 3
Answer:
5/7
Step-by-step explanation:
3/7+2/7=5/7
5/7-3/7=2/7
Match each fraction on the left with the corresponding percent on the right. Some options on the right will be used more than
once.
Answer:
no picture
Step-by-step explanation:
The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer.
Answer:
[tex]\boxed {\boxed {\sf 48 \ meters }}[/tex]
Step-by-step explanation:
The perimeter is the sum of the side lengths.
A rectangle has 4 sides: 2 lengths and 2 widths, so the perimeter formula is
[tex]p= 2l+2w[/tex]
The length is 20 meters and the width is 4 meters.
[tex]p= 2(20 \ m )+ 2(4 \ m )[/tex]
Multiply.
[tex]p= 40 \ m + 8 \ m[/tex]
Add.
[tex]p= 48 m[/tex]
The perimeter of the rectangle is 48 meters.
Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping, Drag numbers to complete an equation to find
the cost of each shirt, s. Each number may be used only once.
3
7.99
71.83
Answer:
3s+7.99= 71.83 .
Step-by-step explanation:
since there are 3 shirts you would multiply s by 3 so 3s. To me it looks like 7.99 is the constant and 71.83 is the total including this constant. so putting all of these together in y=mx+b format you get the equation 71.83= 3s+7.99
hope this helps
What is the value of x
15x + 1=46
Help plz
I will give brainliest
Answer:
3
Step-by-step explanation:
Answer:
The answer to this question is X=3
Step-by-step explanation:
15x3=45
45+1=46
Hope my answer helps you!!!
A study was conducted to investigate the effectiveness of a new aspirin-derivative in reducing pain. Results for randomly selected subjects are presented in the Assignment # 8 Excel worksheet. A lower score indicates less pain. The "before" value is matched to an "after" value and the differences are calculated ( on your excel worksheet ) . The differences have a normal distribution. Are the pain-reduction measurements, on average, lower after taking the new aspirin-derivative ? Test at a 1 % significance level.
Compare the fractions using the LCM.
3/5 and 1/4
Answer:
20
Step-by-step explanation:
Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x − 4 x + 4
First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".
Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero
Answer:
D . x + 4Step-by-step explanation:
(x² + 6x + 8) / (x + 2) =(x² + 2x + 4x + 8) / (x + 2) = (x + 2)(x + 4) / (x + 2) = x + 4Correct choice is D
Find the difference 7/9 - 5/13 in lowest term
Answer:
46/117
Step-by-step explanation:
Answer:
46/117
Step-by-step explanation:
this is a type of fraction which can not be simplified
Hye guys I need some heeeeeeeelp lol
“if there are 12 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made.”
Answer:
1 boy 4 girls, 2 boys 8 girls, 3 boys 12 girls, 4 boys 16 girls