9514 1404 393
Answer:
41.2 in
Step-by-step explanation:
The short side of a "golden rectangle" is 2/(1+√5) times the length of the long side:
(66.6 in)(0.618034) ≈ 41.161 in
The shorter side is 41.2 inches long.
Select ALL the correct answers.
Which of the following statements are true about the equation below? x^2-6x+2=0
If x = 81, what is the value of x(x - 6)?
A.
6,075
B.
156
C.
7,047
D.
6,642
Answer:
A
Step-by-step explanation:
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?
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
What is 51% of 25.5?
Answer:
The answer is 13.005
Step-by-step explanation:
Answer:
13.005
Step-by-step explanation:
4,843 divided by 44?
Answer:
110.068181818
Step-by-step explanation:
please view attached image about angles (50 pts and brainliest)
Answer:
The value of X is 126. The angle of JML is 42
help I will mark brainliest!
Answer: g
its g cause I solved it and got g
Answer:
The answer is G. Hope this helps!
Complete the table.
Given: GHIJ is rhombus
Prove: ∠1≅∠3
Answer:
Step-by-step explanation
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle =2×3.14×2.8 mi
circumference of circle =17.584 mi
Help plz I don’t understand
Answer:
600 m²
Step-by-step explanation:
Area = 3.14 × 14 × 14 = 615.44
rounding off :
600 m²
please with the mathematics
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:
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.
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
Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
123
27
A
120
Find cos B.
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?
Answer:
$78.37 ÷7
Step-by-step explanation
im not smart
Find the final amount of money in an account if
$
7
,
200
is deposited at
6
%
interest compounded annually and the money is left for
6
years.
Answer:
$10,213.34
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r/n)^t
Given that;
P = $7,200
rate r = 6% = 0.06
Time t = 6years
n = 1
Substitute into the formula
A = 7200(1+0.06)^6
A = 7200(1.06)^6
A = 7200(1.4185)
A = 10,213.34
Hence the final amount is $10,213.34
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 .
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.
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
Answer:
Disagree
Step-by-step explanation:
[tex]3.67 = c - 2.13 \\ 3.67 + 2.13 = c \\5.8 0 = c[/tex]
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
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.
Explain how to determine the
probability of a compound
event. Be sure to include both
types of compound events.
Answer: Compound probability is equal to the probability of the first event multiplied by the probability of the second event
HOPE THIS HELPS
Y=-x? - 8x - 17
Axis of Symmetry:
Vertex:
Domain:
Range:
simplify 2 1/2 times 3/4
Answer:
[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]
Answer:
15/8
Step-by-step explanation:
2.5/2 = 1.25
1.25/2 = 0.625
2.5 - 0.625 = 1.875
1.875 = 75/40 = 15/8
Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?
It says 120 is wrong :(
9514 1404 393
Answer:
7 hours
Step-by-step explanation:
They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.
(105 km)/(15 km/h) = 7 h
Answer:
7 hours
Step-by-step explanation:
They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.
(105 km)/(15 km/h) = 7 h
Find the slope of the line passing through the points (-4,-5) and (3,-5).
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.
−3x>24 solve the inequality
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!!!
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?
Answer:
The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
Step-by-step explanation:
Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:
100 x 0.9 + 0 x 0.4 = 90
90 x 0.9 + 10 x 0.4 = 85
80 x 0.9 + 20 x 0.4 = 80
50 x 0.8 = 40
Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.
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)
Answer:
Step-by-step explanation:
145 mm hg
Can someone help me pls
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 approximate radius of a circle with a circumference of 198 centimeters. Use 3.14 for it. Round to the nearest
hundredth
Answer:
31.50
Step-by-step explanation:
Can someone please help me with this
Answer:
39 sq inches
Step-by-step explanation:
Need answers quickly!
i posted a photo above for the questions. Please help me.
Question 1
Angles 1 and 6 are..
Vertical Angles
Alternate interior angles
Opposite angles
Supplementary angles
Question 2
Angles 1 and 3 are...
Alternate exterior angles
Corresponding angles
Similar angles
Vertical angles
Question 3
Angles 2 and 7 are..
Supplementary
Corresponding
Adjacent
Alternate interior
Question 4
Angles 11 and 15 are
congruent
supplementary
alternate exterior
similar
Question 5
Angles 4 and 7 are..
Supplementary
Complementary
Congruent
Skew
Question 6
if the measure of angle 10 is 74 degrees then the measure of angle 14 is?
26 degrees
53 degrees
106 degrees
74 degrees
Answer:
1) vertical angles
2) corresponding angles/
3) alternate interior
4) supplementary
5) congruent
6) 196°
Step-by-step explanation:
1) vertical angles
2) corresponding angles/
3) alternate interior
4) supplementary
5) congruent
6) 196°