Answer:
here
https://decabonner.weebly.com/uploads/1/6/4/8/1648294/day_1_-_practice_wksht_-_basic_probability_key.pdf
A submarine sits at –300 meters in relation to sea level. Then it descends 115 meters. What is its new position in relation to sea level?
Answer:
-415 meters
Step-by-step explanation:
As it was already -300 and it decended even more
so:
-300-`115=-415
Answer:
The answer is A, -415 meters.
Step-by-step explanation:
All right, so the key words we need here are -300, descends, and 115.
Descends means go lower, or in this case, subtract.
We are already at -300 and we descend 115, so we are going to subtract.
Subtracting a number is the same as adding the negative of that number.
-300 + -115 = -415
The answer is A, -415 meters.
Hope this helps, please mark brainliest if possible. :)
At Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice
cream alternating with layers of cake. If there are 8 flavors of ice cream, and we count
different cakes based on the order of ice cream layers from top to bottom:
a) how many different cakes can be made if flavors can be repeated?
Answer:
4096 different cakes can be made if flavors can be repeated.
Step-by-step explanation:
Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:
8 x 8 x 8 x 8 = X
64 x 64 = X
4.096 = X
Therefore, 4096 different cakes can be made if flavors can be repeated.
Find an equation for the line that passes through the points (-2,-6) and (6,4).
Step-by-step explanation:
Line P passes through POINTS (-2,6) and (6,4). Using y=mx + b where m is the SLOPE(rise divided by the run), and b is the Y-INTERCEPT. Pick the POINT (6,4) and plug into the Y-INTERCEPT EQUATION above to determine the Y-INTERCEPT
if sec theta = - √30 / 3, find cos theta.
if sin(-theta) = -0.97, find cos (π/2 - theta).
Step-by-step explanation:
[tex] \cos \theta = \frac{1}{ \sec\theta } = - \frac{3}{ \sqrt{30} } = - \frac{3 \sqrt{30} }{30} = - \frac{ \sqrt{30} }{10} [/tex]
[tex] \cos( \frac{\pi}{2} - \theta )= \cos \frac{\pi}{2} \cos \theta + \sin \frac{\pi}{2} \sin \theta [/tex]
Note that
[tex] \sin( - \theta) = - \sin \theta[/tex]
[tex] \cos \frac{\pi}{2} = 0 \: \: \: \: \: \sin \frac{\pi}{2} = 1[/tex]
Therefore,
[tex] \cos( \frac{\pi}{2} - \theta ) = 0.97[/tex]
The point (3,−4) lies on the graph of y=(x−5)2+k where k is some constant. Which other point must also lie on the same graph?
Answer:
The other point lies on the graph is (0, - 8).
Step-by-step explanation:
Point (3, - 4) lies on the graph [tex]y = (x -5)^2 + K[/tex]
So, put x = 3 and y = - 4 in the equation.
[tex]- 4 = ( 3 -5)^2 + K\\\\- 4 = 4 + K \\\\K= - 8[/tex]
So, the equation of graph is
[tex]y = (x - 5)^2 -8[/tex]
Let x = 5 lies on the graph so
[tex]y = (5 -5)^2 -8 \\\\y = -8[/tex]
So, the other point lies on the graph is (0, - 8).
Each book weighs 6 ounces. Which Ordered pair is a visible solution if X represents the number of books he orders NY represents the total weight of the books in ounces
Consider a test of H 0: μ = 85 performed with the computer. SPSS reports a two-tailed p-value of 0.2714. Make the appropriate conclusion for the given situation: H a: μ > 85, z = 1.10, α = 0.10
Answer:
p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.
Step-by-step explanation:
Decision:
If the p-value is greater than the significance level, we accept the null hypothesis. Otherwise, we reject the null hypothesis.
In this question:
Null hypothesis:
μ = 85
Alternate hypothesis:
a: μ > 85
SPSS reports a two-tailed p-value of 0.2714.
We are testing if the mean is greater than a value, which is a one-tailed test, so the p-value is of 0.2714/2 = 0.1357
Decision:
p-value of 0.1357 > 0.1, which means that we do not reject the null hypothesis, that is, there is not sufficient evidence to conclude that the population mean is above 85.
2(x+3)=x-4
please help me <3
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free item
Answer:
20 people
Step-by-step explanation:
At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer.
On Monday, 3,000 customers came to the theater.
To find the number of people who got both free items, we will calculate the Least Common Multiple (LCM) of 30 and 75.
LCM of 30, 75
= 5 × 3 × 5 × 2
= 150
Each 150th customer will receive both free items.
Total number of people who receive both free items = 3000 ÷ 150
= 20 people
On Monday 20 people will receive both free items.
Please help with 15, 17 and 19
Given:
15. [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]
17. [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]
19. [tex]2^{\log_2100}[/tex]
To find:
The values of the given logarithms by using the properties of logarithms.
Solution:
15. We have,
[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex]
Using property of logarithms, we get
[tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1[/tex] [tex][\because \log_aa=1][/tex]
Therefore, the value of [tex]\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)[/tex] is 1.
17. We have,
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex]
Using properties of logarithms, we get
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)[/tex] [tex][\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}][/tex]
[tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1[/tex] [tex][\because \log_aa=1][/tex]
Therefore, the value of [tex]\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)[/tex] is -1.
19. We have,
[tex]2^{\log_2100}[/tex]
Using property of logarithms, we get
[tex]2^{\log_2100}=100[/tex] [tex][\because a^{\log_ax}=x][/tex]
Therefore, the value of [tex]2^{\log_2100}[/tex] is 100.
Please help me with my math answer
Step-by-step explanation:
20 ml is your answer
i hope it helps u
Answer:
If I'm reading it correctly the answer should be 20.
To get that answer all you do is 4x5.
PLEASE HELP! I REALLY NEED IT
Answer:
i think its like this:
Step-by-step explanation:
Josh buys candy that costs $8 per pound. He will spend at most $88 on candy. What are the possible numbers of pounds he will buy?
Answer:
11 pounds
Step-by-step explanation:
You would do 88 divided by 8 to get 11
A 35 foot ladder is set against the side of the house so it reaches up 21 feet if the ladder at its base and pulls it 4 feet farther from the house how far up the side of the house will the ladder reach now
Answer:
=14.2
Step-by-step explanation:
a^2 + b^2 = c^2
21 ^2 + x ^2 = 35^2
= 28
28 + 4 = 32
The side with 21 then becomes the new x
x/a =
=14.2
The height of the house that can be ladder reached now will be 14.18 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
A 35-foot ladder is set against the side of the house so it reaches up 21 feet.
Then the base length will be
35² = 21² + b²
1225 = 441 + b²
b² = 784
b = 28 feet
If the ladder is at its base and pulls it 4 feet farther from the house.
Then the height of the house that can be ladder reach now will be
35² = 32² + h²
1225 = 1024+ h²
h² = 201
h = 14.18 feet
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
Solve the following system of equations using matrices (row operations).
x-y=3
6x-5z=36
6y+2z=18
Answer:
(6,3,0)
Step-by-step explanation:
Given,
x - y + 0z = 3
6x - 0y - 2z = 36
0x + 6y + 2z = 18
You have the following augmented matrix:
(1) 1 -1 0 3
(2) 6 0 -2 36
(3) 0 6 2 18
Let's (3) add to (2) and divide by 6
(1) 1 -1 0 3
(2) 1 1 0 9
(3) 0 6 2 18
Now, let's (2) add to (1) and divide by 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 6 2 18
Let's (3) ÷ 2
(1) 1 0 0 6
(2) 1 1 0 9
(3) 0 3 1 9
Let's (1) subtract from (2)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 3 1 9
Finally, let's (2) multiply by 3 and subtract from (3)
(1) 1 0 0 6
(2) 0 1 0 3
(3) 0 0 1 0
Thus,
x = 6, y = 3 and z = 0
The answer is (6, 3, 0)
We have to verify the answer
6 - 3 = 3 ⇒⇒ 3 = 3
6*6 - 5*0 = 36 ⇒⇒ 36 = 36
6*3 + 2*0 = 18 ⇒⇒ 18 = 18
Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response questions worth 4 points each. The entire test is worth 100 points. Let x represent the number of multiple choice questions, and let y represent the number of open response questions.
Write a system of linear equations to represent each situation.
Answer:
x *2 + (28-x)*4 = 100
Step-by-step explanation:
Given
Total number of questions in the paper = 28
Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.
Also, the complete test is of 100 marks
Thus, the linear equation representing the
x *2 + (28-x)*4 = 100
Your cell phone plan costs 55 dollars a month, plus 35 cents per minute. Write an equation to represent the monthly bill of the cell phone plan.
Answer: Umm lemme try this
Step-by-step explanation:
55+35=x
Help please (pre algebra)
Answer:
Step 1: 3t = 51
Step 2: 3t/3 = 51/3
Step 3: t = 17
Step 4: The Green Garage has 17 tires
Hope this helps!
Answer:
3t=51
[tex]\frac{3t}{3}[/tex]=[tex]\frac{51}{3}[/tex]
t=17
The Green Garage has 17 tires.
Step-by-step explanation:
Look at the question carefully
what is not an angle pair?
Answer:
A pair of angles whose sum is not 90 or 180 is not an angle pair.
which choices is equivalent to the product below ? 2.3.6
Answer:
What product
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x^2+8x+11=0, which number would have to be added to "complete the square"?
Answer:
4
Step-by-step explanation:
x²+8x+11=0
x²+8x+(+4)²-(+4)²+11=0
Answer:
16
Step-by-step explanation:
x2+8x= −11−11
28=4→(4)2=16
x2+8x+16=x2+8x+16= −11+16−11+16
(x+4)2= 55
16
31vw+41uvw+9uvw–11uvw
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
Answer:
31vw+39uvw . yes we will rewrite the expression
Step-by-step explanation:
41uvw+9uvw=50uvw-11uvw=39uvw
what is the answer to this? i can’t figure it out.
9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
2. The cost of oranges varies directly with the total mass bought. 2 kg of oranges costs $4.50. Describe the relationship between cost and mass in words. You may want to calculate a unit rate first.
Answer:
The relationship between the cost/mass is $2.25/kg.
Step-by-step explanation:
You first need to divide $4.50 / 2, to know what a single kilogram mass costs.
$4.50 / 2 = $2.25
Now that you have this unit rate $2.25, You can multiply/add it.
$4.50 + $2.25 is $6.75, + another $2.25 = $9.00, and so on.
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36
Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
Answer:
9
Step-by-step explanation:
f(x) = x − 7 and g(x) = x^2
g(f(4))
First find f(4)
f(4) = 4-7 = -3
Then put this result in g(x)
g(-3) = (-3) ^2 = 9
g(f(4) = 9
g(f(4)) =9.
Answer:
Solution given;
(x) = x − 7 and g(x) = x2 .
now
g(f(4))=g(4-7)=g(-3)=(-3)²=9
Please please help need today
Answer:
you need to zoom in i cant see plz :)
Step-by-step explanation:
Miss Smith save 5% on her recent Starbucks order because she is a Starbucks Rewards member if the cost of per purchase before the discount was $5.20 how much did Miss smith save
Answer:
$4.94
Step-by-step explanation:
O 5.20 100%
P - 5
N 95%
0.95 x 5.20 = 4.94
Ms. Smith saved $4..94.
A salesperson at a jewelry store earns 4% commission each week. Last week, Heidi sold $680 worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
Answer:
$27.2
Step-by-step explanation:
680x0.04=. 27.2
She made $27.2 last week
The mean salary offered to students who are graduating from Coastal State University this year is , with a standard deviation of . A random sample of Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these students is or less
Answer:
The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Z-score with the Central Limit Theorem:
Z-is given by:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
What is the probability that the mean salary offer for these students is X or less?
The probability that the mean salary offer is of X or less is the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which [tex]\mu[/tex] is the mean salary for the population, [tex]\sigma[/tex] is the standard deviation for the population and n is the size of the sample.
