hord
12 cm
5 cm
Resu
5 cm
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the
height of the prism is placed inside the prism, as shown in the figure.
SUME
The volume of the space outside the pyramid but inside the prism is
cubic centimeters,
Answers
Answer:
The volume of the space outside the pyramid but inside the prism is 225 cubic centimeters.
Step-by-step explanation:
To find this, you subtract the volume of the pyramid from the volume of the rectangular prism.
The prism and pyramid's bases is 25 cm²
The pyramid's height is 12÷2 or 6 cm
The volume formula for a prism is l×w×h
The volume formula for a pyramid is [tex]\frac{1}{3}[/tex] ×b×h
The area of the prism is 5×5×12 or 300 cm³
The area of the pyramid is [tex]\frac{1}{3} *25*6[/tex] or 75 cm³
300 cm³-75 cm³=225 cm³
The volume outside the pyramid but inside the prism is 225 cm³.
Related Questions
Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below:
p = 4l + 4w + 4h
= l + w + h
h = –
Which expression should follow the subtraction in Hallie’s equation?
Answers
Answer:
h = p - l - w
Step-by-step explanation:
p = 4l + 4w + 4h Divide l, w, and h by 4
p = l + w + h Set the equation equal to h
h = p - l - w
Answer:
A just did it on edge<3
You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money fro
the account. Which equation below gives the amount of money you will have in the account after tyears?
Al = 2,000 20.05
Al = 2,000(1.5)
A10 = 2,000(105)
A1 = 2.000 e5
Answers
Answer:
[tex]A(t) = 2,000(1.05)^{t}[/tex]
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
You invest $2,000
This means that [tex]P = 2,000[/tex]
Compounded anually
Once a year, so [tex]n = 1[/tex]
Interest rate of 5%.
This means that [tex]r = 0.05[/tex]
Amount after t years:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 2,000(1 + \frac{0.05}{1})^{t}[/tex]
[tex]A(t) = 2,000(1.05)^{t}[/tex]
A water cooler holds 15 liters of sports drink. Approximately how many gallons is this
Answers
If 4000 hours= 240,000 minutes and you make a 10 minute video, how many people will need to view the video to get 4000 hours of view time?
Answers
Answer:
24000
Step-by-step explanation:
because 24000 * 10 =240000
HELP WITH THIS PLEASE
Answers
Answer:
a = 35º
b = 140º
c = 40º
d = 140º
e = 58º
Step-by-step explanation:
Angle A is supplementary to the angle that is 145º, and supplementary angles always add up to 180º. Therefore, 180 - 145 = 35, the measure of angle a. Angle B is supplementary to the 40º angle, so its measure is 140. Angle C is opposite the 40º angle, and opposite angles are congruent, so its measure would also be 40º. Angle D is also 140º because it is opposite of angle B. Angle E is supplementary to the angle that measures 122º, so 180 - 122 = 58. Hope this helped!
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\,\text{km}200,000km200, comma, 000, start text, k, m, end text (kilometers)? Choose 1 answer: Choose 1 answer: (Choice A) A The histogram (Choice B) B The box plot Which display can be used to find that the median distance was approximately 140{,}000\,\text{km}140,000km140, comma, 000, start text, k, m, end text? Choose 1 answer: Choose 1 answer: (Choice A) A The histogram (Choice B) B The box plot
Answers
Answer:
(a) The correct option is (A).
(b) The correct option is (B).
Step-by-step explanation:
Nam collected the data for the distance traveled by all the cars in his car lot.
(a)
A histogram is a bar graph representing the distribution of a random variable. The height of the bars of the histogram represents the frequency for a specific interval.
If Nam wants to know how many vehicles had driven more than 200,000 km, the histogram would be the best display of this data. This is because the histogram shows the frequency for various interval values.
The correct option is (A).
(b)
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
Minimum (shown at the bottom of the chart) First Quartile (shown by the bottom line of the box) Median (or the second quartile) (shown as a line in the center of the box) Third Quartile (shown by the top line of the box) Maximum (shown at the top of the chart).So, if Nam wants to find whether the median distance was approximately 140,000 km, a box plot would be a better choice. This is because the box plot represents the median of the data by a line within the box.
The correct option is (B).
Answer: For the first one is A second one is B
Step-by-step explanation: I took the khan test. UwU♡
Three dogs eat 30 pounds of food in 10 days. If each dog eats the same amount, how much food does 1 dog eat in 1 day? 1 pound 3 pounds 9 pounds 10 pounds
Answers
Answer:
Unable to read entire question, but see explanation for answer
Step-by-step explanation:
First, you need to find the unit rate per dog. If it takes 3 dogs 10 days to finish 30 pounds of food, then it takes 1 dog 1 day to finish 1 pound of food. I cannot read the entirety of the question because of the cropping, but you can find how much food a single dog eats in that amount of days by just multiplying by the number of days (say, 1 pound in 1 day, or 3 pounds in 3 days). Hope this helps!
Answer:
1
Step-by-step explanation:
took test
Solve (x + 1 < 4) ∩ (x - 8 > -7).
Answers
Answer:
[tex]1<x<3[/tex]
Step-by-step explanation:
Let simplify each of these inequalities individually and then look at where they intersect afterwards
[tex]x+1<4\\\\x<3[/tex]
And
[tex]x-8>-7\\\\x>1[/tex]
This means that for these two inequalities to intersect, x must be greater than 1, but less than 3.
This can be represented by the following inequality [tex]1<x<3[/tex]
Labrador Retriever weighs 48 kg after a diet and exercise program the dog weighs 43 kilograms to determine if this shows a percent increase or decrease and explain why what is the percent change of its weight a 10% B 11% C 110% D 111% please help.
Answers
Answer:
percentage change in weight ≈ 10%
Step-by-step explanation:
The dog weighed 48 kg after a diet and after an exercise program the dog had a weight of 43 kg. This means the dog loss weight since the dog weight decreased from an initial value of 48 kg to 43 kg. The decrease in weight can be calculate as
decrease in weight = original weight - new weight
original weight = 48 kg
new weight = 43 kg
decrease in weight = 48 - 43 = 5 kg
Since the weight decrease their will be a percentage decrease in weight.
% decrease = decrease in weight/original weight × 100
% decrease = 5/48 × 100
% decrease = 500/48
% decrease = 10. 42666666667
percentage change in weight ≈ 10%
Two voting districts, C and M, were sampled to investigate voter opinion about tax spending. From a random sample of 100 voters in District C, 22 percent responded yes to the question "Are you in favor of an increase in state spending on the arts?" An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question. A 95 percent confidence interval for the difference
Answers
Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For district C,
x = 22
n1 = 100
p1 = 22/100 = 0.22
For district M,
x = 26
n2 = 100
p2 = 26/100 = 0.26
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for the confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.22(1 - 0.22)/100 + 0.26(1 - 0.26)/100]
= 1.96 × √0.00364
= 0.12
Confidence interval = (0.22 - 0.26) ± 0.12
= - 0.04 ± 0.12
The required 95 percent confidence interval for the difference is ( 0.8, 0.16).
Given that,
A random sample of 100 voters in District C, 22 percent responded yes to The question "Are you in favor of an increase in state spending on the arts?"
An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question.
We have to determine,
A 95 percent confidence interval for the difference.
According to the question,
A random sample of 100 voters in District C, 22 percent responded yes to The question "Are you in favor of an increase in state spending on the arts?"
An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question.
Confidence interval for the difference in the two proportions is written as,
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
From a random sample of 100 voters in District C,
[tex]x = 22\\\\n_1= 100\\\\p_1 = \dfrac{22}{100} = 0.22[/tex]
From a random sample of 100 voters in District M,
[tex]x = 26\\\\n_1= 100\\\\p_1 = \dfrac{26}{100} = 0.26[/tex]
Therefore,
[tex]Margin \ of \ error = \sqrt{\dfrac{p_1(1-p_1}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]
To determine the z score, subtract the confidence level from 100% to get b
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since, the area in the middle, it becomes
1 - 0.025 = 0.975
The z-score corresponding to the area on the z table is 1.96. Thus, the z score for the confidence level of 95% is 1.96,
[tex]Margin \ of \ error = \sqrt{\dfrac{0.22(1-0.22)}{100} + \dfrac{0.26(1-0.26)}{100}}[/tex]
[tex]= \sqrt{\dfrac{0.22(0.78)}{100} +\dfrac{0.26(0.76)}{100}}\\\\= \sqrt{\dfrac{0.17}{100}+ \dfrac{0.19}{100}}\\\\= \sqrt{\dfrac{0.36}{100}}\\\\= \sqrt{0.0036}\\\\= 0.06[/tex]
Then, Confidence interval is given as;
[tex](0.22 - 0.26) \pm 0.12\\\\(-0.4) \pm 0.12\\\\(-0.4+0.12 , -0.4-0.12)\\\\(0.8, 0.16)[/tex]
Hence, The required 95 percent confidence interval for the difference is( 0.8, 0.16)
To know more about Confidence interval click the link given below.
https://brainly.com/question/15349022
The volume of this prism
Answers
[tex]answer = 66 \: {cm}^{3} \\ solution \\ volume = lwh \\ \: \: \: \: \: \: \: \: \: \: = \: 11 \times 3 \times 2 \\ \: \: \: \: \: \: \: \: \: = 66 \: {cm}^{3} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
[tex]= 66 {cm}^{3} \\ [/tex]
Step-by-step explanation:
[tex]volume = base \times length \times height \\ = 3cm \times 11cm \times 2cm \\ = 66 {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
2 Points
These dot plots show the lengths (in feet) from a sample of crocodiles and
alligators
Crocodi
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Alligator
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Length
What are the differences between the centers and spreads of these
distributions?
Select two choices: one for the centers and one for the spreads
D A Centers: The crocodiles have a lower median length than the
alligators
B. Centers: The crocodiles have a greater median length than the
alligators
c. Spreads: The lengths of the alligators are more spread out
D. Spreads. The lengths of the crocodiles are more spread out
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Answers
Answer:
(B) Centers: The crocodiles have a greater median length than the alligators
(C) Spreads: The lengths of the alligators are more spread out
Step-by-step explanation:
The question is incomplete without the diagram. Find attached the diagram used in solving the question
Centers: this is the median of the distribution
Spread: this is the variation of the data distribution. The range can be used to find the spread. If the range is large, the spread is larger and If the range is small, the spread is smaller.
Range = highest value - lowest value
From the diagram:
Median of crocodile = 17
Median of the alligator = 9
Therefore, for Centers: The crocodiles have a greater median length than the alligators (option B)
Spread for crocodile data = from 15 to 19
Range = 19-15 = 4
Spread for alligator data = from 7 to 15
Range = 15-7 = 8
For Spreads: The lengths of the alligators are more spread out.
Answer: b and c
Step-by-step explanation:
A jury pool has 15 men and 21 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of:_____
(a) all men
(b) all women
(c) 8 men and 4 women
(d) 6 men and 6 women
Give all answers accurate to four decimal places.
Answers
Answer:
(a) all men = 3.6351 * 10^ -7
(b) all women = 2.3483* 10^ -4
(c) 8 men and 4 women = 0.0308
(d) 6 men and 6 women= 0.2170
Step-by-step explanation:
A jury pool has 15 men and 21 women, from which 12 jurors will be selected.
Total = 36 people
Probability of
(a) all men
= 15C12/36C12
= 455/1251677700
= 3.6351 * 10^ -7
(b) all women
= 21C12/36C12
= 293930/1251677700
= 2.3483* 10^ -4
(c) 8 men and 4 women
=( 15C8 * 21C4)/36C12
= (6435*5985)/1251677700
= 38513475/1251677700
= 0.0308
(d) 6 men and 6 women
= (15C6 * 21C6)/(36C12)
= (5005*54264)/1251677700
= 271591320/1251677700
= 0.2170
"Two purple sea slugs are mated with each other. Among their numerous offspring, 428 have a purple integument and 152 have orange integuments. With a chi-square test, compare the observed numbers with a 3:1 ratio and determine if the difference between observed and expected could be a result of chance."
Answers
Answer:55
Step-by-step explanation:
55x1=55
liam is a tyre fitter it takes him 56 minutes to fit 4 tyres to a van
Answers
Answer:
Step-by-step explanation:
I am not really sure because u did not finish the question but is u are asking how much time it takes to fit one tyre:
answer is time/tyres
56min./4
14 min. Per type
How do you solve this?
Answers
Answer:
.75 teaspoons per ounce
Step-by-step explanation:
Take the number of teaspoons and divide by the number of ounces
10.5 / 14
.75 teaspoons per ounce
Use the area to find the radius. If you could include steps that’ll be very helpful :)
Answers
Answer:
Area = PI * radius^2
radius^2 = Area / PI
radius^2 = 169*PI/PI
radius^2 = 169
radius = 13
Step-by-step explanation:
Please answer this correctly
Answers
Answer:
Chicken: 36%
Beef: 34%
Black Bean: 30%
Hope this helps!
What is the value of ¡97 - i?
Answers
Answer:
This is the answer
Step-by-step explanation:
7. Tyson obtained a loan from the bank at 7.5% simple interest for 2. 5 years. If the simple interest was
N$347.50, how much did he borrow?
8. Hilma invested N$20 000 on 01/01/2018 at 9.5 % interest p.a compounded semi-annually.
How much will she receive by 01/01/2022?
Answers
Answer:
7.He borrowed $1853.33
8.She received $28990.936
Step-by-step explanation:
7.Let x be the amount borrowed by Tyson
Rate of interest = 7.5%
Time = 2.5 years
Simple Interest = 347.50
Formula : [tex]Si = \frac{P \times T \times R}{100}[/tex]
Where SI = simple interest
P = Principal
T = Time
R = Rate of interest
Substitute the values in the formula :
[tex]347.50=\frac{x \times 2.5 \times 7.5}{100}\\\frac{347.50 \times 100}{2.5 \times 7.5}=x\\1853.33=x[/tex]
Hence he borrowed $1853.33
8) Principal = 20000
Rate of interest = 9.5%
No. of compounds per year = 2
Time = 4 years
Formula : [tex]A=P(1+\frac{r}{n})z^{nt}[/tex]
Where A= amount
r = Rate of interest
n = no. of compounds
t = time
Substitute the values in the formula :
So, [tex]A=20000(1+\frac{9.5}{200})^{2(4)}[/tex]
A=28990.936
Hence she received $28990.936
this is the last one for the morning and may be some later
Answers
Answer:
A is correct Please brainliest me
Thus, also saying that it is equivalent.
Step-by-step explanation:
The expression stated- (3m+1-m)
It also states to give a equal amount
What is equalevent expression?- Equivalent expression are those expression that looks different but are same.
For example, 2+2 is 4 and 1 plus 3 is 4
it is different expression but the same answer.
The Expression- 3m+1-m
Simplify. How?- By adding LIKE terms.
Here- 3m+ 1 - m = (3-1) m + 1
see the same.
To conclude, 3-1) m + 1 = 2m + 1
If you’d wanna write in another way, it would be 2m + 1 can be written as m + m + 2 - 1
so a is correct
How many 3-letter codes can be formed if the second letter must be a vowel (a, e, i, o, u)?
Answers
Answer:
3,380 combinations
Step-by-step explanation:
26*5*26= 3,380
Answer:
3380
Step-by-step explanation:
Since there are 26 letters, it would be
26*5*26
This is 3380
Use the table of values to find the line of regression and if justified at the 0.05 significance level, use it to find the predicted quality score of a TV set with a price of $1900. If the data does not suggest linear correlation, then use the average quality score as a prediction.
Price: 2,300, 1,800, 2,500, 2,700, 2,000, 1,700, 1,500, 2,700
Quality Score: 74, 73, 70, 66, 63, 62, 52, 68
Answers
Answer:
Step-by-step explanation:
no x y xy x²
1 2300 74 170200 5290000
2 1800 73 131400 3240000
3 2500 70 175000 6250000
4 2700 66 178200 7290000
5 2000 63 126000 4000000
6 1700 62 105400 2890000
7 1500 52 78000 2250000
8 2700 68 183600 7290000
Total 17200 528 1147800 38500000
Mean of x is
[tex]\bar x = \frac{17200}{8} =2150[/tex]
Mean of y is
[tex]\bar y = \frac{528}{8} =66[/tex]
From the table above
we find [tex]\hat B_1[/tex]
[tex]\hat B_1=\frac{\sum xy- \bar x \sum y}{\sum x^2- n \barx^2} \\\\=\frac{1147800-2150(528)}{38500000-8(2150)^2} \\\\=\frac{1147800-1135200}{38500000-36980000} \\\\=\frac{12600}{1520000} \\\\=0.008289[/tex]
so [tex]\hat b_0[/tex] is
[tex]\hat b_0=\bar y-\bar B_1 x\\\\=66-0.008289(2150)\\\\=66-17.82135\\\\=48.17865[/tex]
The line of regression is
The price x is 1900
[tex]\hat y =\hat B_0+\hat B_1x\\\\=48.17865+0.008289\times1900\\\\=48.17865+15.7491\\\\=63.928[/tex]
The line of regression is 63.928
Answer:
y=48.2+0.00829x;64
Step-by-step explanation:
4 ounces for every 16 ounces. Rate or ratio and in simplest form
Answers
4 for 16 would be written as 4/16.
Dividing both numbers by 4 it is simplified to 1/4
4 ounces for every 16 ounces can be written as:
[tex]\displaystyle \frac{4}{16} =\frac{1}{4}[/tex]
As a ratio, it can be expressed as:
[tex]1:4[/tex]
Find the measure of x:
Answers
Answer:
x=7
Step-by-step explanation:
Do the equation 8x+5 + 3x+8 = 90 and do the math to come out with 7
Hope this helps :)
Answer:
7*
Step-by-step explanation:
8x + 3x + 8 * + 5*=11x+13*
90*-13*=77*
77*= 11x
x= 77*/11=7*
* = degree
If 5=3+2,then 3+2=5. What is the truth value
Answers
Answer:
true
Step-by-step explanation:
pls help, you will get branliest !!
Answers
Answer:
4.......................
Find the area of the circle. Use pialmost equals 3.14. Radius equals19 yd
Answers
How do u solve this?
Answers
Answer:
0
Step-by-step explanation:
Tuesday : -1/2
Wednesday + 3/4
Thursday : -3/8
Add them together
-1/2 + 3/4- 3/8
Get a common denominator
-4/8 + 6/8 - 3/8
-1/8
The closest integer value to -1/8 is 0
A(x) = -0.015x^3+1.05xA ( x ) = − 0.015 x 3 + 1.05 x gives the alcohol level in an average person's blood x hrs after drinking 8 oz of 100-proof whiskey. If the level exceeds 1.5 units, a person is legally drunk.
Would an average person be legally drunk after 4 hours?
Answers
Answer:
Yes
Step-by-step explanation:
the function that gives the alcohol level is:
[tex]A ( x ) = - 0.015 x^3 + 1.05 x[/tex]
where x is the number of hours.
we need to know if after 4 hours an average person is legally drunk, thus:
[tex]x=4[/tex]
and we substitute this in the function:
[tex]A ( 4 ) = - 0.015 (4)^ 3 + 1.05(4)[/tex]
solving these operations we obtain:
[tex]A(4)=-0.015(64)+4.2\\A(4)=-0.96+4.2[/tex]
[tex]A(4)=3.24[/tex]
the alcohol level after 4 hours is 3.24.
Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.
