Answer:
At a 5% significance level we reject the Null hypothesis [tex]H_0[/tex]
Step-by-step explanation:
From the question we are told that:
Distance [tex]d= 100[/tex]
Mean [tex]\mu=9.6[/tex]
Sample size [tex]n=16[/tex]
Sample mean [tex]\=x=9.7[/tex]
Standard deviation [tex]\sigma= 0.1[/tex]
significance level [tex]\alpha=5%=>0.05[/tex]
Generally the Hypothesis is mathematically given by
[tex]H_0=\mu=9.6[/tex]
[tex]H_a=\mu=9.6[/tex]
Generally the equation for t test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{9.7-9.6}{\frac{0.1}{\sqrt{16} } }[/tex]
[tex]t=4[/tex]
Therefore P-Value from table
[tex]P-Value=0.000[/tex]
[tex]\alpha>P-value[/tex]
Therefore
At a 5% significance level we reject the Null hypothesis [tex]H_0[/tex]
Write an algebraic expression for the situation.
3.2 less than a number m
Answer:
m - 3.2
Step-by-step explanation:
a = − 5 ; b = 7 ; c = 1 − 2 a + 4 b − c 2=
given m//n find the value of x. see attachment.
Answer:
look at the picture i have sent
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!! ALL LINKS WILL BE REPORTED!!!!!!!!!!!!!!!
Answer:
i thiiiink its b
Step-by-step explanation:
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answer:
84,327.50 cubic meters
Step-by-step explanation:
Volume of a cone 1/3(nr^2h)
n = 3.14
r = radius
h = height
1/3 x 3.14 x 25^2 x 129 = 84,327.50 cubic meters
Suppose the sphere below with radius r has a surface area equal to 45 units
Find the surface area of the sphere with twice the radius.
-21-
o
A. 180 units2
B. 180 units 3
C. 90 units
D. 90 units 3
Answer:
180 units 2 ..............
If a student is selected at random find the probability the student is a senior given that it's a female round to the nearest whole percent
Answer:
16%
Step-by-step explanation:
It says to find the probability the student is a senior given that it's a Female. So let's see. There are 19 females in total, and we're trying to figure out the probability that one of them will be a senior. Well, there are 3 female seniors.
[tex]\frac{3}{19\\}[/tex]
Divide 3 by 19 (not 19÷3, 3÷19)
=.157894736etc
You'll get a continuous decimal, but that's ok. The directions say round to the nearest whole percent. That means the percent should end up with no decimals.
16% (not 15.7, round it up instead to 16%)
Therefore, the answer is 16%. Hope this helps! :)
The probability of the student is a senior and female is 16%
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
It says to find the probability the student is a senior given that it's a Female. There are 19 females in total, and we're trying to figure out the probability that one of them will be a senior. Well, there are 3 female seniors.
The probability of the student being a senior and female is calculated as below:-
Divide 3 by 19 (not 19÷3, 3÷19)
Probability = 0.157894736 = 0.16
Probability = 0.16 x 100 = 16%
Therefore, the probability of the student is a senior and female is 16%
To know more about probability follow
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) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states that the top 8% of the class will receive an A; the next 20% will receive a B; the next 42% will receive a C; the next 18% will receive a D; and the bottom 12% will receive an F. What grade must you exceed in order to receive a grade of C or better
Answer:
65.45
Step-by-step explanation:
Zscore = (x - mean) / standard deviation
x = score
Percentage below C :
D = 18% ; F = 12%
Sum = 30%
Obtain the Zscore for the proportion below D
P(Z < 0.30) = -0.524
Hence, Zscore = -0.524
Put Zscore = -0.524 in the equation :
-0.524 = (x - 72) / 12.5
-0.524 * 12.5 = x - 72
-6.55 = x - 72
-6.55 + 72 = x
x = 65.45
To receive a grade of C or better, score must be atleast 65.45
plz help meeeeeeeeeeeeee
Answer
x=52/5
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators next
Cancel multiplied terms that are in the denominator after that you
Multiply the numbers
Which triangles are similar?
Chloe wants to buy a shirt at the store that cost $14.99. She also wants to
buy a pair of shoes that cost $25.99. She has a coupon for x dollars off her
entire purchase. She spends a total of $30.98 at the store. Which equations
could be used to find the value of the coupon, X. Choose all that apply. *
14.99 + 25.99 - X
14.99 + 25.99 - X = 30.98
40.98 - x = 30.98
14.99 - X + 25.99 = 40.98
Answer:
14.99 + 25.99 - X = 30.98
14.99 + 25.99 - X
Step-by-step explanation:
They all relate to what the question is asking, and make the most sense
okay I’ve been struggling on this for like 20 min, someone Pleaseee help me
Answer:
Angle M=14.25°
Step-by-step explanation:
Sin(M)=16/65
Sin^-1(16/65)=14.25°
which expression correctly shows the sum of the product of 9 and 5 difference of 24 and 6?
Answer:
72
Step-by-step explanation:
When you multiply 9 and 5 you get 45. When you subtract 6 from 24 you get 18.
45 + 18 = 72
If helpful please mark me brainliest!
The correct expression for the sum of the product of 9 and 5 and the difference of 24 and 6 will be (9 × 5) + (24 -6) which will be equal to 63.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given statement in the question,
Product of 9 and 5 i.e., 9 × 5 and,
Difference of 24 and 6 i.e., 24 - 6
Thus sum will be,
(9 × 5) + (24 - 6)
The result of the expression is 63.
To know more about an expression:
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Please solveeeeeeeee
Answer:
-4/7 =n
Step-by-step explanation:
2/3 ( 1+n) = -1/2 n
Multiply each side by 6 to get rid of the fractions
6*2/3 ( 1+n) =6* -1/2 n
4(1+n) = -3n
Distribute
4+4n = -3n
Subtract 4n from each side
4+4n -4n = -3n -4n
4 = -7n
Divide each side by -7
4/ -7 = -7n/-7
-4/7 =n
how to use a compass
Answer:
Get to Know the Parts of a Compass. Baseplate: Clear, so you can see the map below it, it has at least one straight edge for taking bearings and
Adjust Declination. North on a map is easy to find (it’s at the top)
Orient Your Map
Take a Bearing
I hope this helps :3
joe had 4.03 clip's and 5.09 clip's how much wood this be
Answer:
3/4 x 56 = 42 = Joe
2/7 x 42 = 12 = Keith
Clue: the word 'of ' tells us that we need to multiply.
HELP!
On an 8 section spinner what is the propibility of spinning a number less then 6
Numbers less than 6,
[tex]nth(5,4,3,2,1) = 5 \\ p(n < 6) = \frac{5}{8} [/tex]
Solve for x. Each figure is a parallelogram
Answer:
Step-by-step explanation:
THe sides are the same length
11=x+5
x=6
What is the range of the function graphed below?
Answer:
[tex]-\infty < y < -2[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The range of the graph
From the graph we can see that the curve points down towards the y-axis,
This means that y starts from a [tex]-\infty[/tex] number
Coming up, the curve stops increasing at 2 and becomes horizontal; This means that y ends at 2
Hence, the range is: [tex]-\infty < y < -2[/tex]
please help? will give brainliest
Answer choices are based off of picture
A
B
C
D
Answer:
I think A
hope it's help.
what is the average rate of change of f(x) = (x + 3)2 − 2
Answer:
When we have a function f(x), the average rate of change in the interval (a, b) is:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, we have the function:
f(x) = (x + 3)^2 - 2
(but we do not have the interval, and I couldn't find the complete question online)
So if for example, we have the interval (2, 4)
The average rate of change will be:
[tex]r = \frac{(4 + 3)^2 - 2 - (2 + 3)^2 + 2}{4 - 2} = \frac{24}{2} = 12[/tex]
If instead, we want the rate of change in a differential dx around the value x, we need to differentiate the function (this is way more complex, so I will define some rules first).
Such that the rate of change, in this case, will be:
f'(x) = df/dx
For a function like:
g(x) = x^n + c
g'(x) = n*x^(n - 1)
And for:
h(x) = k( g(x))
h'(x) = k'(g(x))*g'(x)
So here we can write our function as:
f(x) = k(g(x)) = (x + 3)^2 - 2
where:
g(x) = x + 3
k(x) = x^2 - 2
Then:
f'(x) = 2*(x + 3)*1 = 2*x + 6
That is the rate of change as a function of x (but is not an "average" rate of change)
What is the equation of the trend line in the scatter plot ?
Answer:
Equation: -3x + 18
Hope this helps!
Kyra has 850 beads to make a necklace for her friends. Each necklace will use 90 beads. How many necklaces will she be able to make
Answer:
9 necklaces with 40 extra beads
Answer:
Kyra will be able to make 9 necklaces using 810 beads. She'll have 40 beads left.
Step-by-step explanation:
850/90= 9 r40
HELP HELP HELP HELP ...
Answer:
A - since the median can be any number we know of. B - Again the median can be any number we know of, since it is a undetermined amount. E - The range can be 10 flights, this is because it is not a determiend value, and it is possible for the value to be 10.
Step-by-step explanation:
Wrong answer reasoning:
The mode doesnt need to be 9 if there is more than 1 mode, so that isnt it. Eliminating D. The mean can most definatly be determinded if we know the values. This elimnates C. The mean can be 6.875, but we dont know, so we can assume it IS 6.875. This eliminates F.
Hope this helps!
Find the length of the unknown side.
25 cm
15 cm
Answer:
b = 20 cm.
Step-by-step explanation:
Define and explain:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.
Solve:
[tex]a^2+b^2=c^2[/tex]
[tex]a,b-legs[/tex]
[tex]c-hypotenuse[/tex]
[tex]15^2+b^2=25^2[/tex]
[tex]225+b^2=625[/tex]
[tex]625-225=400[/tex]
[tex]b^2=400[/tex]
[tex]b=20[/tex]
Conclude:
Therefore, the length of the unknown side is 20 centimeters.
To earn a bonus in a video game, you much find 25 out of 40 gems. Do you get the bonus? Explain
Answer:you in go formative
Step-by-step explanation:??Right
Can anyone tell me what the answer to this problem is and the explination?
The figure shown above is triangle. The area of the triangle is a= 1/2base times height.
Base is 10 . The height is 6.
A= 1/2bh
A= 1/2*10*6
A= 1/2*60
A= 30
Or you can find the area of the triangle separately and add them up.
First triangle :
The half of the base is 10/2= 5
B= 5 H= 6
A= 1/2*6*5
A= 15
Second triangle :
b= 5
h= 6
a= 1/2*5*6
a= 15
Add up them both areas 15+15= 30
Help pls I'll give briliantest to who ever is right
Answer:
12.2h + 18.2 yd^2.
Step-by-step explanation:
Surface area = 2hl + 2hw + 2lw where h = height, w = width and l = length.
= 2 * 2.6h + 2 * 3.5h + 2*2.6*3.5
= 5.2h + 7h + 18.2
= 12.2h + 18.2.
True or False: y = x2 + 3 is a function.
A. True
B. False
Answer:
B
Step-by-step explanation:
Answer:
A. true
Step-by-step explanation: