Answer:
e. We are 90% confident that the average age of all golfers that play on the golf course is between 38.6 and 44.6 years old.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
90% confidence interval for the average age of golfers in the course is of (38.6, 44.6). This means that we are 90% sure that the true average age of all golfers in the course is between these two values, that is, the correct answer is given by option e.
Find the maximum or minimum value of y = 3x² + 7x + 9 by completing the squares state the value of x at which the function is maximum or minimum.
Answer:
The minimum is 59/12
Step-by-step explanation:
you should calculate the -b/2a = -7/6
you should put -7/6 in the x variable
-2 (x + 3z) + 4x - 3y + 2z
Answer:
-2 (x + 3z) + 4x - 3y + 2z
-2x-6x+4x-3y+2z
2x-4z-3y
hope it helps...
have a nice day!
Answer:
please answer is then you thanks me
Step-by-step explanation:
-2(x + 3z) + 4x - 3y +2z
-2x -6z + 4x - 3y + 2z
=2x - 4z - 3y
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
Help me please. Plzzzz.
The table shows the approximate distances between some of the objects in our solar system.
Distance
Earth to the moon
12^5 miles
Sun to Mercury
12^7 miles
12^8 miles
Sun to Jupiter
1. How many times greater is the distance from the Sun to Jupiter than the distance from the Sun to
Mercury?
Answer:
12 times
Step-by-step explanation:
Earth-Moon (EM) = 12⁵ miles
Sun-Mercury (SM) = 12⁷ miles
Sun-Jupiter (SJ) = 12⁸ miles
just FYI, these numbers are only a rough simplification for this example. the real distance are quite a bit different.
so, SJ/SM = 12⁸ / 12⁷ = 12¹ = 12
=> Jupiter is 12 times farther away from the Sun than Mercury.
12 times greater is the distance from the Sun to Jupiter than the distance from the Sun to Mercury.
What is distance?Distance is the total movement of an object without any regard to direction.
Given:
Earth-Moon = 12⁵ miles
Sun-Mercury = 12⁷ miles
Sun-Jupiter = 12⁸ miles
so,
Sun-Jupiter/Sun-Mercury
= 12⁸ / 12⁷
= 12¹
= 12
Hence, Jupiter is 12 times farther away from the Sun than Mercury.
Learn more distance here:
https://brainly.com/question/15172156
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I need help asp please!!
In a class of 26 students, 14 have a cat and 7 have a dog. There are 5
students who have a cat and a dog. What is the probability that a
student chosen randomly from the class does not have a dog?
Answer:
9/26
Step-by-step explanation:
Im sorry, but probablity is quite hard to explain, but I'll try my best. So what you know is that there are a total of 26 students right? Out of these 25, 14 have at least a cat, and 7 have at least a dog. But 5 of them have a cat and a dog. This means that 14-5, and 7-5, are for only a cat and only a dog respectively. So, people with only a cat don't have a dog, meaning that 14-5, which is 9 people only have a cat. Therefore, out of the 25 people, only 9 don't have a dog, making the probablitly 9/25.
:)))))))))))))))))))))))))))))
How many-foot pieces of wood
can you cut from a board that is
6 feet long?
Answer:
6
Step-by-step explanation:
Foot long = 1 foot
6 / 1 = 6 foot pieces
plssss don't rude mee plsss
plss help me in my testtt
The radius of the circle whose equation is (x - 3)2 + (y + 1)2 = 16 is: 4
Answer: x=10-y
Step-by-step explanation:
Helpqquuuiiiiccckkkkk
Here's some help. Hope this works.
need help pleaseeeee
Which points are on the graph of the function rule f(x) = 10 - 4x
Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size 4 will be collected. For the R-chart, what is the value of upper control limit
Solution :
Given the average range of the holes drilled = 0.10 cm
The average diameter of the holes drilled = 0.25 cm
The sample size = 4
For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28 (From the table of constants for X-bar and R-chart)
The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]
= 0.10 x 2.28
= 0.228
Therefore, the answer is greater than 0.202 but less than or equal to 0.302
use the following picture to classify the following statements as true or false
HII CAN SOMEONE PLEASE HELP ME, this is my final exam ... Which equation describes the line with slope 4 that contains the point (7,2)?
A. y + 2 = 4(x + 7)
B. y - 7 = 4(x - 2)
C. y+ 7 = 4(x + 2)
O D. y - 2 = 4(x - 7)
Answer:
I believe it is D
Step-by-step explanation:
I used desmos
Answer:
D
Step-by-step explanation:
Due to the coordinate being positive in both x and y, then you know by putting the numbers in the equation that they will bot subtract from their variable
PLEASE HELP!!!!!
I have a time limit
Answer:
Step-by-step explanation:
angle 1 is a central angle because the vertex is at the center of the circle and the central angles have same measure as the arc it inscribes, so
arc AB =30 °
Answer:
60
Step-by-step explanation:
A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 3 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee
Answer: 0.6
Step-by-step explanation:
Given
There are 3 women and 3 men available to form a 2 member committee.
No of ways, a man can be chosen are [tex]3[/tex]
Similarly, no of ways a woman can be chosen are 3
Therefore, probability of choosing 2 members i.e. 1 man and 1 women is
[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]
If the order matter, then
[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]
The probability that 1 woman and 1 man will be chosen is "0.6".
According to the question, the club has nominated:
Number of women = 3 Number of men = 3Now,
→ The number of ways to select two persons from 6 will be:
= [tex]\binom{6}{2}[/tex]
hence,
The probability that one woman and one man will be chosen will be:
→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]
[tex]= 3\times \frac{3}{15}[/tex]
[tex]= \frac{9}{15}[/tex]
[tex]= 0.6[/tex]
Thus the above answer is right.
Learn more:
https://brainly.com/question/13419138
Can you figure out what the area of this shape is?
Answer:
22 units
Step-by-step explanation:
split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
Please give me the right answer me going onto my sophomore year depends on this
Answer: 5.5. if you divide you will clearly see it is 5.5 so D
Step-by-step explanation:
3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.
Dividing each term in the given series by 0.315 reveals a simple geometric sum,
0.315 (1 + 1/1,000 + 1/1,000,000 + …)
or
0.315 (1 + 1/10³ + 1/10⁶ + …)
or
[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]
i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that
[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]
if |r | < 1. This is the case here, so
0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)
… = (315/1000) / (999/1000)
… = 315/999
… = 35/111
Match each three dimensional figure to its volume based on the given dimensions.
please attach a diagram
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
Find X so that a parallel to b
Step-by-step explanation:
4x+11+8x+1=180 (the two angles given is supplementary angles)
11x+12= 180
11x=168
x=168/11
x=15.27
please give brainly if it helps
Answer:
x = 14
Step-by-step explanation:
Same side interior angles are supplementary.
Therefore ,
( 4x + 11)° + ( 8x + 1 )° = 180 °
4x + 11 + 8x + 1 = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 14
Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at
Answer:
16=/-4+3+2
16=/-1jhcdf why
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Write an equivalent expression for: 5(5x - 9) *
Answer:
25x - 45
Step-by-step explanation:
Answer:
25x - 45
Step-by-step explanation:
5 ( 5x - 9)distributing 5 through parantheses
5 × 5x - 5 × 925x - 455. In the figure Find X (In the picture) (giving points to best answer/brainlest)
Answer:
x=93°
Step-by-step explanation:
the lower left interior angle of the triangle is 39° because it is an alternate-interior angle to the one marked as 39°
the lower right interior angle is 180-132, which is 87°
therefore, x=93° because the three angles must add to 180°
Plz help me solve this
Answer: x=-3
Step-by-step explanation:
First let's eliminate the square root
[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]
Now subtract [tex]x^2\\[/tex] from both sides
[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]
Subtract 2 from both sides
[tex]-5x+2-2=17-2\\-5x=15[/tex]
Finally divide both sides by -5
[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]
whatcha of the following is the quotient of
Answer:
(2y+3)
Step-by-step explanation:
