Answers
Answer:
156 ft³
Step-by-step explanation:
Volume of the composite solid = volume of the square prism + volume of the square pyramid
Volume of rectangular prism = a²h
a = 6 ft
h = 3 ft
Volume = 6²*3 = 36*3
Volume = 108 ft³
Volume of square pyramid = ⅓(a²*h)
a = 6 ft
h = 4 ft
Volume = ⅓(6²*4) = ⅓(36*4)
Volume = 48 ft³
Volume of the composite solid = 108 + 48 = 156 ft³
Related Questions
3. Marci's gross pay this month is $1,175. What is the total amount her employer will
deduct from her income this month for Medicare tax (1.45% of gross pay) and Social
Security tax (6.2% of gross pay)?
pls help me
Answers
Answer:
it would be 266.83
Step-by-step explanation:
Marvin solved the equation 4(x+5)=88 fill in the blanks
Answers
Answer:
x=17
Step-by-step explanation:
4(x+5) = 88
4x + 20 = 88
4x = 88-20
4x = 68
x = 68/4
x = 17
Answer:
17
Step-by-step explanation:
4(x+5)=88
4x+20=88
4x=88-20
4x=68
4x÷4=68÷4
x=17
-3(-2-3x6)-5{4+2(-1)}
Answers
Answer:
The answer is 50
Step-by-step explanation:
= -3(-2-3×6)-5{4+2(-1)}
= -3(-2-18)-5{4-2}
= -3(-20)-5{2}
= 60-10
= 50
Answer:
-3(-2-18)-5(6-1)
-3(20)-5(5)
-60--25
=35
=====
What is the CONSTANT in the expression 3k + 12?
Answers
Answer: 12
Step-by-step explanation:
The constant of the expression is 12.
What is a constant?'A constant is a value or number that never changes in expression that is it's constantly the same.'
According to the given problem,
In the expression 3k + 12 , k is a variable. A variable is a quantity that may change with respect to the mathematical criteria.
If k = 1, the value of the expression is (3 × 1) + 12 = 15
k =2, the value is (3 × 2) + 12 = 18
But we can see that no matter the value of k is, the expression has to be added with 12.
Hence, we can conclude that since the value of 12 does not change irrespective of the changing values k, the constant of this expression is 12.
Learn more about constant here:
https://brainly.com/question/18650947
#SPJ2
A car travel 8km using 1 litres of petrol. How much petrol is needed to travel 152km
Answers
Answer:
It is very interesting!
Step-by-step explanation:
So I am going to take all of this values and represent it as a proportion, So here's how it is going to look,
Km : Litre : : Km : Litre
Let's keep the missing value as x
= 8 : 1 : : 152 : x
We know that,
Product of ext. terms = Product of middle terms
8 * x = 1 * 152
8x = 152
x = 152/8
x = 19
So therfore it will take 19 lites to travel 152 km.
(So to put everything in a nutshell we have to divide 8 by 152 to get the answer)
Hope this helps :)
In a 24-hour period, Grace spends 8 hours sleeping, 8 hours at school, 2 hours at dance class, and the rest of the time with her family. What percentage of her day is used for family time?
Answers
The percent P of defective parts produced by a new employee t days after the employee starts work can be modeled by
P = t + 1810/50(t + 2).
Find the rates of change of P at t = 1 and t = 10. (Round your answers to two decimal places.)
Answers
Answer:
[tex]\frac{dP}{dt} (1) = -4.02\,\frac{\%}{day}[/tex], [tex]\frac{dP}{dt} (10) = -0.25\,\frac{\%}{day}[/tex]
Step-by-step explanation:
The complete statement is:
The percent [tex]p[/tex] of defective parts produced by a new employee [tex]t[/tex] days after the employee starts work can be modeled by:
[tex]p(t) = \frac{t+1810}{50\cdot (t+2)}[/tex]
Find the rates of change of [tex]p[/tex] at [tex]t = 1[/tex] and [tex]t = 10[/tex] (Round your answer to two decimal places.)
The rate of change of the function is the first derivative of the function in time. By rules of differentiation, we obtain the expression of the rate of change of the percent of defective parts:
[tex]\frac{dP}{dt} = \frac{50\cdot (t+2)-50\cdot (t+1810)}{50^{2}\cdot (t+2)^{2}}[/tex]
[tex]\frac{dP}{dt} = \frac{1}{50\cdot (t+2)}-\frac{t+1810}{50\cdot (t+2)^{2}}[/tex] (1)
The rates of change of P at [tex]t = 1[/tex] and [tex]t = 10[/tex] are, respectively:
[tex]\frac{dP}{dt} (1) = -4.02\,\frac{\%}{day}[/tex]
[tex]\frac{dP}{dt} (10) = -0.25\,\frac{\%}{day}[/tex]
Someone please explain how you got the answer please and thank you
Answers
Answer:
3 texts by madelyn, there were 2 texts from aubrey
Step-by-step explanation:
the ratio of maddie to aubrey was 18:12 which is 3:2
so 3 by maddie = 2 by aubrey
i used maddie because its shorter
Answer:
6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)
Step-by-step explanation:
adore your sasha pfp
What is the result of the operation
Answers
Multiplication is the process of multiplying. The correct option is D.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The result of the given operation can be written as,
[tex]-2\left[\begin{array}{ccc}-3&5&1\\8&-2&3\\2&1&-4\end{array}\right][/tex]
Since for a multiplication operation, each element of the matrix is multiplied with the given term, therefore, the matrix can be written as,
[tex]= \left[\begin{array}{ccc}-3\times -2&5\times -2&1\times -2\\8\times -2&-2\times -2&3\times -2\\2\times -2&1\times -2&-4\times -2\end{array}\right][/tex]
Solving the multiplication, we will get,
[tex]=\left[\begin{array}{ccc}6&-10&-2\\-16&4&-6\\-4&-2&8\end{array}\right][/tex]
Hence, the correct option is D.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
If 45/60 is equivalent to 3/x, find the value of x
Answers
EXPLANATION:
45/60 can be simplified by dividing both 45 and 60 by the same number.
We already know the numerator is 3.
so we have to do the equation 45 divided by 3. which is 15.
so now we do 60 divided by 15 to find x.
So x = 4
A local river running company wanted to see if rafting or kayaking led to better satisfaction on a river trip. They tested a group of people who participated in both activities. These tourists kayaked one day and rafted the next day. At the end of each day, they rated how much they liked the activity using a 10 point scale (1-strongly dislike to 10-strongly like).
Which hypothesis test should be used?
a. Two Sample Independent t-test
b. Two Sample Dependent t-test
c. One Sample t-test
d. None of these
e. Test of Correlation
Answers
Answer:
b. Two Sample Dependent t-test
Step-by-step explanation:
In this scenario, the best hypothesis test would be a Two Sample Dependent T-test. This is because the test would need to be seperated into two sample groups, one for the individuals that went rafting and one with the individuals that wen Kayaking. Then the data from both of these would be analyzed and compared. A dependent test would be used since the results depend on the activity in question.
What does 64.5% as a decimal equal?
Answers
Answer:
0.645
Step-by-step explanation:
since a percent is out of 100, it could also be written a 64.5/100,
then converting a fraction into a decimal is jus dividing the two equaling to 0.645
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.4 mm. For a randomly found shard, find the following probabilities.
a) the thickness is less than 3.0 mm.
b) the thickness is more than 7.0 mm.
c) the thickness is between 3.0 mm and 7.0 mm.
Answers
Answer:
a) 0.0985 = 9.85% probability that the thickness is less than 3.0 mm.
b) 0.0582 = 5.82% probability that the thickness is more than 7.0 mm.
c) 0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.
Step-by-step explanation:
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 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.
Normally distributed, with a mean of 4.8 millimeters (mm) and a standard deviation of 1.4 mm.
This means that [tex]\mu = 4.8, \sigma = 1.4[/tex]
a) the thickness is less than 3.0 mm.
This is the pvalue of Z when X = 3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 4.8}{1.4}[/tex]
[tex]Z = -1.29[/tex]
[tex]Z = -1.29[/tex] has a pvalue of 0.0985
0.0985 = 9.85% probability that the thickness is less than 3.0 mm.
b) the thickness is more than 7.0 mm.
This is 1 subtracted by the pvalue of Z when X = 7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7 - 4.8}{1.4}[/tex]
[tex]Z = 1.57[/tex]
[tex]Z = 1.57[/tex] has a pvalue of 0.9418
1 - 0.9418 = 0.0582
0.0582 = 5.82% probability that the thickness is more than 7.0 mm.
c) the thickness is between 3.0 mm and 7.0 mm.
This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3. From questions a and b, we have these pvalues. So
0.9418 - 0.0985 = 0.8433
0.8433 = 84.33% probability that the thickness is between 3.0 mm and 7.0 mm.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
hope it helps
Step-by-step explanation:
have a great day
Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.
Answers
Answer:
the answer is 6 :))))))))0
Step-by-step explanation:
work out 5×6 - 8 ÷2
Answers
Answer: 26
Step-by-step explanation:
5×6 - 8 ÷2
= 30 - 8 ÷2
= 30 - 4
= 26
Answer:
26
Step-by-step explanation:
so we start off with 5x6 from PEMDAS so 5x6 = 30
then we have 8 divided by 2 = 4
30-4 = 26
I will mark you brainalist
Answers
Answer:
4.6
Step-by-step explanation:
the first equation will be y=1.2x+4.6
the second will be y=0.8x+54.6
then i plugged the system of equations and that was where they met at :)
Answer:
for sure B
Step-by-step explanation:
PLZ HURRY, TIMED, WILL MARK BRAINLIEST********
K [Not drawn to scale] Which is true about the diagram? Select two options. MZIKH+MZIKL= 180° MZIKLU MZILK+mZKIL = 180° DmZJKH= MZJLK O MZIKLU MZILK= 90° OmZKIL= MZKLJ
Answers
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 43 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 43 births.
The value of the mean is__ (Type an integer or a decimal. Do not round.)
The value of the standard deviation is __. (Round to one decimal place as needed.)
b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.
Values of ___ girls or fewer are significantly low. (Round to one decimal place as needed.)
Values of ___ girls or greater are significantly high. (Round to one decimal place as needed.)
c. Is the result of 32 girls a result that is significantly high? What does it suggest about the effectiveness of the method?
The result is/is not significantly high, because 32 girls is greater than/equal to/less than ___ girls. A result of 32 girls would suggest that the method is not effective/is effective.(Round to one decimal place as needed.)
Answers
Answer:
A) Mean = 21.5
Standard deviation = 3.3
B) - Values of 14.9 girls or fewer are significantly low.
- Values of 28.1 girls or higher are significantly high
C) - The result is significantly high, because 32 girls is greater than 28.1 girls
-A result of 32 girls would suggest that the method is effective.
Step-by-step explanation:
A) We are given;
Number of couples; n = 43
Probability it is a girl; p = 0.5
Formula for mean is;
Mean; x¯ = np
x¯ = 43 × 0.5
x¯ = 21.5
Formula for standard deviation is;
SD = √(np(1 - p))
SD = √(43 × 0.5 × (1 - 0.5))
SD = √(43 × 0.5²)
SD ≈ 3.3
B) range rule of thumb is that the values are usually within 2 standard deviations from the mean.
Thus, we have;
x¯ ± 2SD
This gives;
21.5 ± 2(3.3)
That is;
21.5 + 6.6 and 21.5 - 6.6
To get; 28.1 and 14.9
This means that;
- Values of 14.9 girls or fewer are significantly low.
- Values of 28.1 girls or higher are significantly high
C) If the result is 32,it doesn't fall in between 14.9 and 28.1. As a matter of fact it is higher than 28.1, therefore we can say it is significantly high
- A result of 32 girls would suggest that the method is effective.
choose all answers that apply
Answers
Answer:
none of the above
Step-by-step explanation:
An isosceles trapezoid cannot be rotated to create the same image therefore it has no angle of rotational symmetry.
A local television news station includes a viewer survey question about a current issue at the beginning of every evening news broadcast. Viewers are invited to use social media to respond to the question. The results of the survey are shared with the audience at the end of each broadcast. In relation to the opinions of the population of the region, which of the following is a possible reason why the results of such surveys could be biased?
I. Viewers with strong opinions about the current issue are more likely to respond than are viewers without strong opinions.
II. The opinions of viewers of one television station are not necessarily representative of the population of a region.
III. Viewers with access to social media are not necessarily representative of the population of a region.
a. I only
b. II only
c. III only
d. II and III only
e. I, II, and III
Answers
Answer:
ll
Step-by-step explanation:
ll is the msot resanable
Brandon gets paid $7.55 per hour. How much does he make if he worked 35 hours?
A. $302.00
B. $2,642.50
C. $264.25
D.$30,200.00
Answers
Answer:
C
Step-by-step explanation:
7.55 x 35 =
264.25
Hope this helped
this is the answer!!
help meh I'm doing more stuff for I can get another apple phone and another anonymous mask-
Answers
Answer:
4lb.
Step-by-step explanation:
11 divided by 2.75 = 4
therefore, the answer is 4lb's.
Explain why a variable's coefficient is 1 unless you see another number in front of it.
Answers
For adding variables we use the coefficient as 1 if there is no number infront of variable.
What is Expression?An expression is combination of variables, numbers and operators.
A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.
Let us consider a algebraic expression
ax+by+z=0
In the given expression a, b are coefficients of x and y respectively.
We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.
Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 3cm wide, and 10cm tall. If the company used 3900 cm3 of wax, how many candles did they make?
Answers
Answer:
26 candles
Step-by-step explanation:
If the radius of the cone is 5 inches and the height of the cone is 18 inches, what is the slant height of the cone ?
Answers
Answer:
Step-by-step explanation:
slant height = √(5²+18²) = √349
A psychologist is interested in the social interactions of preschool children. She measures the number of verbal interactions that each child at a preschool engages in during a day. Here is the frequency distribution of the data. The cumulative frequency for the interval 46-55 is _________
Answers
Answer:
[tex]CF = 13[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the cumulative frequency for interval 46 - 55
To do this, we add up the frequency from the lowest interval up to interval 46 - 55.
From the attached table, the lowest interval is 6-15.
So, the cumulative frequency (CF) is:
[tex]CF = 1+2+3+3+4[/tex]
[tex]CF = 13[/tex]
Laura wants to learn more about her new high school. Which of the following is a statistical question Laura could ask?
A. What is the address of the school
B. Who is the principal
C. How old are the students at the school
D. Does the high-school have a jazz band
Answers
Answer:
D.
Step-by-step explanation:
There is no explanation
1. The classroom's thermostat was set at 21°C. What is the temperature in Fahrenheit degrees? Round your answer to the nearest whole number
Answers
Answer: 69.8°F
Step-by-step explanation:
Every 75 feet, they will drink 8 ounces of water. Use your estimate to determine how many times they will stop to drink 8 ounces of water. How many ounces of water will Sarah drink biking up the mountain?
Answers
Answer:
600 oz
Step-by-step explanation: