Answer:
21.2d + 12.4f
Step-by-step explanation:
Given that:
Width of rectangle = (5.5d+9.7f) centimeters
Length of rectangle = (5.1d-3.5f) centimeters
Perimeter of a rectangle : 2 (length + Width)
2 [(5.1d-3.5f) + (5.5d+9.7f)]
2[5.1d - 3.5f + 5.5d + 9.7f]
2[10.6d + 6.2f]
= 21.2d + 12.4f
Hence, the perimeter is :
21.2d + 12.4f)
The resting heart rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the percentage of heat rates greater than 55
Answer:
84%
Step-by-step explanation:
The empirical rule states that 68% values are within 1 standard deviation of mean, i.e,
70
±
15
or from 55 to 85. Since normal distribution is symmetric, we must have (32%) outside this range, and 32/2=16% on the right if this range. Hence below 85 we have (100-16) % = 84%
How much will cost to buy beef for a family of 5 if each person gets 1/2 pound of beef and the beef cost 5.99 per pound?
Answer: 2.5 or 3
Step-by-step explanation:
A cereal company estimates that its monthly cost is
C(x) = 400x2 + 300x and its monthly revenue is
R(x) = -0.6x3 + 900x2 – 400x + 700, where x is in thousands of
boxes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
P(x)= -0.6x^3 + 500x^2
Step-by-step explanation:
given data
monthly cost
C(x) = 400x^2 + 300x
revenue is
R(x) = -0.6x^3 + 900x^2 – 400x + 700,
where x is in thousands of boxes sold.
we know that the profit is the difference between the revenue and the cost.
therefore P(x)=R(x)-C(x)
P(x)= -0.6x^3 + 900x^2 – 400x + 700-(400x^2 + 300x )
P(x)= -0.6x^3 + 900x^2 – 400x + 700-400x^2 - 300x
P(x)= -0.6x^3 + 500x^2
Use the stem-and-leaf plot of Monthly Sales Goals to answer the question that follows.
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
What is the median monthly sales goal? (2 points)
a. $26,000
b. $29,600
c. $30,000
d. $30,500
Answer:
The median monthly sales goal is $30000
Step-by-step explanation:
Monthly Sales Goals (in thousands)
Stem Leaf
1 8 9
2 5 6 6 8
3 2 3 3 6 9
4 0
Data (Salary in thousands) : 18,19,25,26,26,28,32,33,33,36,39,40
n = 12(even)
[tex]Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}[/tex]
[tex]Median = \frac{\frac{12}{2} \text{th term}+(\frac{12}{2}+1) \text{th term}}{2}\\Median = \frac{6 \text{th term}+7 \text{th term}}{2}\\Median = \frac{28+32}{2}\\Median = 30[/tex]
So, The median monthly sales goal is $30000
So, Option C is true
plz help and ty very much
Answer:
True
Step-by-step explanation:
For a compound inequality using the word "or" to be true, all you need is for one of the parts to be true.
-6 < 7 is true
-2 <= -2 is also true
Answer: True
thanks who ever helped
Answer:
60 × 50 = 3000
7 × 50 = 350
60 × 4 = 240
7 × 4 = 28
3000 + 350 + 240 + 28 =3618
54 × 67 = 3618
please help
thank you
Answer:
There's your answer!
Step-by-step explanation:
To do these just grab a calculator, or if you know your multiplication tables like I do, it's extremely easy, for example, when multiplying 60 and 80, you can do it in your head by just multiplying 6 and 8 to get 48, then add the two zeros on the end from 60 and 80, and you'll get 4800.
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and GH = 9.4 feet. Find the length of HF to the nearest tenth of a foot.
Answer:
28.9
Step-by-step explanation:
tan (18) = 9.4/x times x
x times tan(18) = 9.4 / tan(18)
tan(18)
crosses out.
On a calculator do 9.4/
tan(18).
x = 28.9
I will give brainliest! 2(6x+3)
Answer: 12x+6
Step-by-step explanation:
distributive property
Answer:
=12x + 6
Step-by-step explanation:
Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?
Answer:
[tex]\angle ABD =42.4^{\circ}[/tex]
Step-by-step explanation:
We are given that Point C is in the interior of ∠ABD
We are also given that ∠ABC ≅ ∠CBD
Now ,
[tex]\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)[/tex]
Since we are given that ∠ABC ≅ ∠CBD
So, [tex]\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3[/tex]
[tex]\angle CBD = (4x)=4(5.3)=21.2^{\circ}[/tex]
[tex]\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}[/tex]
Hence [tex]\angle ABD =42.4^{\circ}[/tex]
One case of books weighs 34 pounds. One case of magazines weighs 25 pounds. A book store wants to ship 73 cases of books and 91 cases of magazines to another store. What is the total weight of the shipment?
Answer:
4,757 pounds
Step-by-step explanation:
One case book weighs 34 pounds
One case of magazines weigh 25 pounds
A book store wants to ship 73 cases of book 91 cases of magazines
Therefore the total weight of the shipment can be calculated as follows
= 34×73 + 25×91
= 2482 + 2275
= 4,757
Hence the total weight of the shipment is 4,757 pounds
Calcula la circunferencia y el círculo con estos datos Radio: 8 cm. CF= ?
Answer:
50.27Step-by-step explanation:
PLEASE HELP(look at picture)!
Answer:
see the picture there is the answer
HELPPPPPPPPPPPPPPPPPPP
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.2 gallons. The mean water usage per family was found to be 15.8 gallons per day for a sample of 669 families. Construct the 90% confidence interval for the mean usage of water. Round your answers to one decimal place.
Answer:
The 90% confidence interval is [tex]15.66< \mu < 15.94 [/tex]
Step-by-step explanation:
From the question we are told that
The population standard deviation is [tex]\sigma = 2.2[/tex]
The sample mean is [tex]\= x = 15.8 \ gallon[/tex]
The sample size is n = 669
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.645 * \frac{ 2.2}{\sqrt{669} }[/tex]
=> [tex]E = 0.1399[/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]15.8 - 0.1399 <\mu< 15.8 + 0.1399 [/tex]
=> [tex]15.66< \mu < 15.94 [/tex]
4+(8/(8-7)+6-12)x10)
The answer is 24, hopes this helps!
how to find the area figure of square inches
Solve graphically, 2x^2+2x-4=0
PLEASE HELP!!! Chloe is working two summer jobs, landscaping and clearing tables. She must work no less than 12 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours landscaping, l and the number of hours clearing tables, c, that Chloe can work in a given week.
Answer:
got u homie
Step-by-step explanation:
Answer:
l +c _> 12
Step-by-step explanation:
What is the area of quadrilateral WXYZ?
Answer:
[tex]Area = 105[/tex]
Step-by-step explanation:
Given
[tex]W = (-5,4)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]X = (3,4)[/tex] ------ [tex](x_2,y_2)[/tex]
[tex]Y = (6,-6)[/tex] ----- [tex](x_3,y_3)[/tex]
[tex]Z = (-7,-6)[/tex] ---- [tex](x_4,y_4)[/tex]
Required
Determine the area;
Area is calculated as thus:
[tex]Area = \frac{1}{2}[(x_1.y_2 +x_2.y_3 + x_3.y_4 + x_4.y_1)-(x_2.y_1 +x_3.y_2 + x_4.y_3 + x_1.y_4)][/tex]
Substitute values
[tex]Area = \frac{1}{2}[(-5*4 +3*-6 + 6*-6 + -7*4)-(3*4 +6*4 + -7*-6 + -5*-6)][/tex]
[tex]Area = \frac{1}{2}[(-102)-(108)][/tex]
[tex]Area = \frac{1}{2}[-102-108][/tex]
[tex]Area = \frac{1}{2}[-210][/tex]
[tex]Area = -105[/tex]
[tex]Area = 105[/tex]
None of the options answer the question:
What is the slope of the line represented by
y – 3 = 4(x + 7)?
Answer: 4
Step-by-step explanation:
The following equation represents the total price of hot dogs, p=3.25h. How many hot dogs can you buy with $32.00? Hint: Be sure to round appropriately for the situation.
A. 8
B. 9
C. 10
D. 11
E. 104
Answer:
Appropriately 10 hot dogs
Step-by-step explanation:
Please help me!!! URGENT!!!!
Look at the image!!!!
Answer:
It looks as though it would be A because it starts at 30 and goes up steadily by 5. B increases too quickly, C does not increase, and D decreases.
Step-by-step explanation:
please I need a quick help
Answer:
x intercept (-2,0) y intercept (0,2)
Step-by-step explanation:
Answer:
I'm pretty sure these are the answers
x-intercept (-2,0)
y-intercept (0,2)
Explanation:
x-intercept: Is coordinates where the line hits the x-axis
y-intercept: Is coordinates where the line hits the y-axis
A newspaper article states that 90% of drivers in Iowa wear their seatbelt. Suppose we are interested in estimating the proportion of drivers in Iowa City who wear their seatbelt when driving. We will observe drivers at different times of the day at different locations around town and record whether they are wearing their seatbelt. How large of a sample would we need to estimate this proportion to within 1% with 95% confidence?
Answer:
The sample size is [tex]n = 3457 [/tex]
Step-by-step explanation:
From the we are told that
The population proportion is p = 0.90
The margin of error is E = 0.01
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally the sample size is mathematically represented as
[tex]n =[ \frac{ Z_{\frac{\alpha }{2} } }{E} ]^2 * p(1-p)[/tex]
=> [tex]n =[ \frac{ 1.96 }{0.01} ]^2 * 0.90(1-0.90)[/tex]
=> [tex]n = 3457 [/tex]
In an attempt to improve brand recognition, the marketing department of AC Sports is
creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?
Answer:
about 37.31 inches of space
Step-by-step explanation:
In this case, you would need to find the area of a cylinder with these dimensions.
Formula: 2πrh+2πr²
The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.
2π(1.25)(3.5)+2π(1.25)²
2π4.375+2π1.5625
8.75π+3.125π
37.3064128
about 37.31 inches of space
What is the slope of the line below?
(2,4)
(-4,-2)
A. zero
B. negative
C. undefined
D. positive
Answer: d. positive.
Step-by-step explanation: the graph shows a line that is increasing.
A veterinarian interested in studying the causes of enteroliths in horses suspects that a diet high in alfalfa may be a cause. The veterinarian decides to use the following design: identify 30 horses at high risk for enteroliths and divide them into groups 10 groups of 3 horses. Some groups consisted of horses in barn stalls, some groups consisted of horses in outdoor paddocks, and some groups consisted of horses in pasture. Within each group one horse is randomly assigned to an alfalfa diet, one is assigned to a grass hay diet, and one horse is fed oat hay. When a horse is in pasture all the other horses in pasture will also receive the diet of the study horse. Therefore, only one horse could be selected from the same pasture. This study has:
Answer:
Randomized block design
Step-by-step explanation:
A randomized block design is essentially an experimental design where the units of the experiment are in groups which are called blocks. Now, treatments are usually randomly allocated to the units of experiment inside each block and when all the treatments appear a minimum of one time in each block, we can conclude that we have achieved a completely randomized block design.
Now, in the question we see that the experimental units which is the "30 horses at high risk for enteroliths" are divided into 3 groups. We can call these groups blocks. Now we see that further treatments such as alfalfa diet, grass hay diet and oat hay diet are assigned to different horses each within those groups/blocks.
Now, this description fits the definition of a randomized block design given above.
Thus, the study is a randomized block design
PLEASE HELP ASAP
IT'S AN EMERGENCY
Answer:SSS
Step-by-step explanation:
Peach Produces pays its employees by the formula of P(b) = 5/2b + 45 ,where p(b) is the employee's total pay and b is the number of bushels of peaches picked. According to the formula, what is the rate employees are paid per bushel of peaches picked?
A. $2.50
B. $5.00
C. $2.00
D. $45.00
Answer:
The rate is $2.5
Step-by-step explanation:
Given that the expression for the pay of employee is given as
P(b) = 5/2b + 45
we can simplify the fraction and write it as decimal as
P(b) = 2.5b + 45
This means that the employees have a fixed pay of $45
and also a rate of $2.5 per peaches picked
therefore the answer is A. $2.5
The rate is $2.5
