Answers
So if you set up equations you get:
77+4s+9=180
Add the like terms:
86+4s=180
Subtract 86 from both sides:
4s=94
Finally, divide 4 from both sides and you get:
23.5 for your final answer.
Related Questions
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 2 of 2 : Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills. Using the data, construct the 80% confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places.
Answers
Answer:
The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills.
333 - 257 = 76 have spills.
This means that [tex]n = 333, \pi = \frac{76}{333} = 0.228[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 - 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.199[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 + 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.257[/tex]
The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).
In training, Kayden does
reps
where
he bench presses 65 kilograms. How
many reps does he have to do to
bench press a total of 1 metric ton?
Answers
Answer:
0.065 metric tons
Step-by-step explanation:
Given
65 kg
To find
Convert 65 kg to metric tons
Then, the answer is 0.065 metric tons
please with the mathematics
Answers
1.)1/6
2.)1 5/10
3.)2 6/7
4.)2
5.)1 7/12
6.)2 4/5
7.)1/12
with like denominators you can just add or subtract freely just the top numerators
Answer:
1.)1/6
2.)1 5/10
3.)2 6/7
4.)2
5.)1 7/12
6.)2 4/5
7.)1/12
Step-by-step explanation:
Find the circumference of the circle and round to the nearest tenth
Answers
Answer:
circumference of circle = 2×pi×r
circumference of circle =2×3.14×2.8 mi
circumference of circle =17.584 mi
Find the approximate radius of a circle with a circumference of 198 centimeters. Use 3.14 for it. Round to the nearest
hundredth
Answers
Answer:
31.50
Step-by-step explanation:
Find the surface area of the prism.
Answers
Answer:
152 cm^2
Step-by-step explanation:
To calculate the surface area of this figure, we just need to calculate the surface area of each side and add the total.
Surface area of rectangle = length times width
4 * 8 = 32
Now, we need to multiply 32 by 4 because there are 4 of these rectangles. This yields a value of 128, and we can now find the surface area of the other rectangles:
Surface area of rectangle = length times width
4 * 3 = 12
Now, we need to multiply 12 by 2 because there are 2 of these rectangles. This yields a value of 24 and we can add 24 to 128 to get the total surface area of the prism. This means that the surface area of the prism is 152 cm^2
Can someone help me pls
Answers
Answer:
[tex] \boxed{ m \overset{\huge\frown}{EFC} \: = \: 237°} [/tex]
Explanation:
Assuming that [tex] \overline{CF} [/tex] is a diameter, and that the angle of an arc subtending the central angle is congruent, [tex] m \overset{\Large\frown}{CGF} \: = \: 180° [/tex].
And according to the arc addition postulate, [tex] \overset{\Large\frown}{CG} + \overset{\Large\frown}{GF} \: = \: \overset{\huge\frown}{CGF} [/tex].
Using the substitution property:
[tex] \overset{\Large\frown}{CG} + \overset{\Large\frown}{GF} \: = \: 180° [/tex].
Given that [tex] m\overset{\Large\frown}{CG} \: = \: 140° [/tex].
Using the substitution property and that the measures apply to the arc addition postulate, [tex] 140° + m\overset{\Large\frown}{GF} \: = \: 180° [/tex].
[tex] 140° – \: 140° + m\overset{\Large\frown}{GF} \: = \: 180° – \: 140° [/tex].
[tex] m\overset{\Large\frown}{GF} \: = \: 40° [/tex].
Since [tex] \overset{\Large\frown}{GF} [/tex] and [tex] \overset{\Large\frown}{CD} [/tex] are subtending the center of the circle, they form vertical angles and are therefore congruent.
[tex] \overset{\Large\frown}{GF} \: \cong \: \overset{\Large\frown}{CD} [/tex]
According to the definition of a vertical angle, [tex] m \overset{\Large\frown}{CD} \: = \: 40° [/tex].
Using the arc addition postulate again,
[tex] \overset{\Large\frown}{CD} + \overset{\Large\frown}{DE} + \overset{\Large\frown}{EF} \: = \:\overset{\huge\frown}{CDF}/\overset{\huge\frown}{CEF} [/tex]
Using substitution, as well as how we are given that the central angle subtended by [tex] \overset{\Large\frown}{DE}[/tex] = 83°, we can find that:
[tex] 40° + 83° + \overset{\Large\frown}{EF} \: = \:\overset{\huge\frown}{CDF}/\overset{\huge\frown}{CEF} [/tex]
Find the value of the trigonometric ratio. Reduce the fraction when you can.
sin Z
Answers
Answer:
A.
Step-by-step explanation:
Recall, SOHCAHTOA.
Reference angle = Z
Opposite = 35
Adjacent = 12
Hypotenuse = 37
Sin Z = Opp/Hyp
Therefore,
Sin z = 35/37
What is 51% of 25.5?
Answers
Answer:
The answer is 13.005
Step-by-step explanation:
Answer:
13.005
Step-by-step explanation:
Explain how to determine the
probability of a compound
event. Be sure to include both
types of compound events.
Answers
Answer: Compound probability is equal to the probability of the first event multiplied by the probability of the second event
HOPE THIS HELPS
1. Measuing blood pressure is a vital process in determining a patient's immediate health
condition. If the systolic blood pressure exceeds 150mm Hg, the patient is considered to
have high blood pressure and medication may be prescribed. Assume that a patient's
systolic blood pressure reading during a given day follows a normal distribution with a
mean of 160mm Hg and a standard deviation of 20mm Hg.
(a) If 5 readings are taken at various times during the day, determine the probability that
the average blood pressure reading will be less than 150mm Hg and hence, fail to
indicate that the patient has a high blood pressure problem
(6) Determine the number of readings required so that the probability is at most 1% of
failing to detect that a patient has high blood pressure.
(20 marks)
Answers
Answer:
Step-by-step explanation:
145 mm hg
A government agency reports that 22% of baby boys 6-8 months old in the United States weigh less than 25 pounds. A sample of 147 babies is studied. Use the TI-84 Plus calculator as needed. Round the answer to at least four decimal places. (a) Approximate the probability that more than 40 babies weigh less than 25 pounds. (b) Approximate the probability that 34 or more babies weigh less than 25 pounds. (c) Approximate the probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive. Part 1 of 3 The probability that more than 40 babies weigh less than 25 pounds is .
Answers
Answer:
a) 0.0526 = 5.26% probability that more than 40 babies weigh less than 25 pounds.
b) 0.409 = 40.9% probability that 34 or more babies weigh less than 25 pounds.
c) 0.6249 = 62.49% probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
Step-by-step explanation:
The binomial approximation to the normal is used to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed 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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
A government agency reports that 22% of baby boys 6-8 months old in the United States weigh less than 25 pounds.
This means that [tex]p = 0.22[/tex]
A sample of 147 babies is studied.
This means that [tex]n = 147[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 147*0.22 = 32.34[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{147*0.22*0.78} = 5.02[/tex]
(a) Approximate the probability that more than 40 babies weigh less than 25 pounds.
Using continuity correction, this is P(X > 40 + 0.5) = P(X > 40.5), which is 1 subtracted by the pvalue of Z when X = 40.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40.5 - 32.34}{5.02}[/tex]
[tex]Z = 1.62[/tex]
[tex]Z = 1.62[/tex] has a pvalue of 0.9474
1 - 0.9474 = 0.0526
0.0526 = 5.26% probability that more than 40 babies weigh less than 25 pounds.
(b) Approximate the probability that 34 or more babies weigh less than 25 pounds.
Using continuity correction, this is [tex]P(X \geq 34 - 0.5) = P(X \geq 33.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 33.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 32.34}{5.02}[/tex]
[tex]Z = 0.23[/tex]
[tex]Z = 0.23[/tex] has a pvalue of 0.591
1 - 0.591 = 0.409
0.409 = 40.9% probability that 34 or more babies weigh less than 25 pounds.
(c) Approximate the probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
Exclusive means that we dont count 28 and 38, so, using continuity correction, this is [tex]P(28 + 0.5 \leq X \leq 38 - 0.5) = P(28.5 \leq X \leq 37.5)[/tex], which is the pvalue of Z when X = 37.5 subtracted by the pvalue of Z when X = 28.5. So
X = 37.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{37.5 - 32.34}{5.02}[/tex]
[tex]Z = 1.03[/tex]
[tex]Z = 1.03[/tex] has a pvalue of 0.8485
X = 28.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.5 - 32.34}{5.02}[/tex]
[tex]Z = -0.76[/tex]
[tex]Z = -0.76[/tex] has a pvalue of 0.2236
0.8485 - 0.2236 = 0.6249
0.6249 = 62.49% probability that the number of babies who weigh less than 25 pounds is between 28 and 38 exclusive.
Y=-x? - 8x - 17
Axis of Symmetry:
Vertex:
Domain:
Range:
Answers
If x = 2, what is the value of x3 + x - 5?
A.
15
B.
5
C.
11
D.
13
Answers
Answer:
its 5 I think, good luck
Step-by-step explanation:
2*3+2-5=5
Can someone please help me with this
Answers
Answer:
39 sq inches
Step-by-step explanation:
You need the area of the square base
Area = side^2
A = 3 x 3 = 9
And the 4 triangle sides.
Area of a triangle = 1/2(base)(height)
a = 1/2 (3)(5) = 7.5
We have 4 of those triangles on this shape
4 x 7.5 = 30
Add the triangles to the base for goal surface area
30 + 9 = 39 square inches
Find the slope of the line passing through the points (-4,-5) and (3,-5).
Answers
Answer:
The slope of the line is 0, that is, it is a horizontal line.
Step-by-step explanation:
Slope of a line:
The slope of a line having two points in the format (x,y) is given by the change in y divided by the change in x.
(-4,-5) and (3,-5).
Change in y: - 5 - (-5) = -5 + 5 = 0
Change in x: 3 - (-4) = 3 + 4 = 7
0/7 = 0
The slope of the line is 0, that is, it is a horizontal line.
Select ALL the correct answers.
Which of the following statements are true about the equation below? x^2-6x+2=0
Answers
Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
123
27
A
120
Find cos B.
Answers
Answer:
d. Cos B = 9/41
Step-by-step explanation:
Recall, SOHCAHTOA.
Cos B = Adjacent length / Hypotenuse length
Adjacent length to reference angle B = 27
Hypotenuse length = 123
Cos B = 27/123 = 9/41
Kevin
makes $78.37 per day. How much does he
make in 7 days?
Answers
Answer:
$78.37 ÷7
Step-by-step explanation
im not smart
Malcolm saved $80 to spend on a gift for his mother. He spent half of his savings on a necklace, $30 on a bracelet and wants to spend the rest on earrings. What shows the part of his savings he has left to spend on earrings?
Answers
Answer:
80-40=40
40-30=10
he only has $10 remaining in savings
Step-by-step explanation:
Answer:
$10 or 12.5%
Step-by-step explanation:
80-(80/2)-30
80-40-30
80-70
$10
10 is 12.5% of 80
Hope this helps!
A 50 foot ladder is set against the side of a house so that it reaches up 40 feet. If Aisha grabs the ladder at its base and pulls it 9 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 31 ft.) Round to the nearest tenth of a foot.
Answers
Answer: ~31.3
first use the pythagorean theorem. a^2+(40)^2=50^2.
simply. a+1600=2500. subtract 1600 from both sides. a^2=900.
square root both sides to get a= 30
then find how far the top of the ladder is from the ground once in its new position.
a^2+(39)^2=50^2.
simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.
square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3
Answer:
Step-by-step explanation: iT'S 31.3
What is the vertex for this function? y = 3x^2 + 12x + 5
The answer can't be (-2, -7) it's not an option
(2, 41)
(2, 7)
(-2, 41)
(-2, 7)
Answers
−3x>24 solve the inequality
Answers
Answer:
x < -8
Step-by-step explanation:
−3x>24
Divide each side by negative 3, remembering to flip the inequality
-3x/-3 < 24/-3
x < -8
Answer:
x<-8
Step-by-step explanation:
−3x>24
Multiply both sides by (-1) (reverse the inequality)
(-3x)(-1)<24(-1)
Simplify;
3x<-24
Divide both sides by 3
3x/3<-24/3
Simplify
3x/3<-24/3
Simplify; 3x/3
=x
Simplify; -24/3
Divide the numbers;24/3=8
=-8
x<-8
Hope this helped!!!
One hundred volunteers who have agoraphobia (fear of open and crowded space) are available for a study. Fifty are selected at random and are given the drug imipramine, which is believed to be effective in treating agoraphobia. The other 50 are given a placebo. A psychiatrist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of their symptoms.
What type of study is this?
A. Matched pair design
B. Observational study
C. Completely randomized block design
D. Completely randomized design
Answers
Answer:
D. Completely randomized design
Step-by-step explanation:
Based on the description given about the experiment above and the manner in which the subjects were assigned to each of the treatment groups available, we can deduce that the study was conducted using a completely randomized design. The subjects weren't matched or blocked for any variable such as sex, height, age or any other variable. They were just evenly split randomly into the two available treatment levels ( those who receive the treatment and the placebo) group. With this design, all subjects have an equal chance of being in any of the two groups and the selection bias is almost totally eliminated using this sort of design as errors are being considered as arising from experimental faults.
Help plz I don’t understand
Answers
Answer:
600 m²
Step-by-step explanation:
Area = 3.14 × 14 × 14 = 615.44
rounding off :
600 m²
4,843 divided by 44?
Answers
Answer:
110.068181818
Step-by-step explanation:
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution
Answers
Answer:
Disagree
Step-by-step explanation:
[tex]3.67 = c - 2.13 \\ 3.67 + 2.13 = c \\5.8 0 = c[/tex]
helppppppppppppppppppppp
Answers
Answer: p= 5 miles
Step-by-step explanation:
20/4 = 5
Answer:
P would equal 5 because all the sides are equal and since they are equal and the perimeter is 20 you would do 5+5+5+5=20
what’s the answer to these math problems?
Answers
Answer:
a1=4-2(1)
=4-2
a1=2
a2=4-2(2)
=4-4
a2=0
a3=4-2(3)
=4-6
a3=-2
a4=4-2(4)
=4-8
a4=-4
How much will Alice pay for carpet that costs $4.50 per square foot?
Answers
Answer:
$506.25.
Step-by-step explanation: