Answer:
12) z = 64
15) q = 75
Step-by-step explanation:
12) 40/65 = z/10⁴
Cross Multiply
65 × z = 40 × 104
65z = 4160
z = 4160 / 65
z = 64
15)32.5/25 = 97.5/q
Cross Multiply
25 × 97.5 = 32.5× q
q = 25 × 97.5/32.5
q = 2437.5 /32.5
q = 75
Artem drives 12.6 miles in 12 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Artem's average speed exceed the speed limit?
Answer:
18 mph
Step-by-step explanation:
12.6 × 5 =68.0. 68 - 50 = 18
The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time
of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn
without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15
seconds. Suppose two independent random samples, 25 of each, are taken and the mean popping times are
calculated. Let R = the popping time of a randomly selected regular-sized bag and M = the popping time of a mini-
sized bag. Which of the following best describes the standard deviation of the sampling distribution of 5-7 ?
1 second
5 seconds
25 seconds
35 seconds
Answer:
3
Step-by-step explanation:
Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
What is Central Limit Theorem:?The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean.
here, we have,
Given,
In the question:
The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15 seconds.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
n = 4 , σ = 20, thus:
s = σ /√n
= 20/√4
= 10
Thus, the correct answer is:
Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
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Find the diameter of a circle with a circumference of 63 feet. Round your answer to the nearest hundredth.
The diameter is about__
feet.
Answer:
20.05feet
Step-by-step explanation:
Given data
Circumference= 63feet
The expression for circumference is
C= 2πr
substitute
63= 2*3.142*r
63= 6.284r
r= 63/6.284
r=10.025
Hence the diameter is
=10.025*2
=20.05feet
HELP ME NOW PLEASE................
Find the mean, median, and mode(s) of the data with and without the outlier.
45, 52, 17, 63, 57, 42, 54, 58
The part that I got confused was the outlier
Mallory works 20 hours a week as a website designer and earns $42.50 per hour. If Mallory saves
1
2
of her total website-design earnings each week, how much will she save in 4 weeks?
Answer:
I believe it's 17000
Step-by-step explanation:
42.50 x 20 = 850
850 x 5 (5 business days) = 4250
4250 x 4 (4 weeks) = 17000
Pls help, question on picture, will do brainliest if right
no links!!!!!
End of Module 4 Assessment
Answer:
where's the question?
Step-by-step explanation:
is it a question?
Answer:
whats the question?
Step-by-step explanation:
Don’t really get these very much. Can anyone help ?
Answer:
23) [tex]g[/tex] has an amplitude greater than the period of [tex]f[/tex]/Both lines have the same period/There are no shifts of any kind between both lines.
24) Both lines have the same amplitude/[tex]g[/tex] has a period less than period of [tex]f[/tex]/There are no shifts of any kind between both lines.
25) Both lines have the same amplitude/Both lines have the same period/There is an horizontal shift between [tex]f[/tex] and [tex]g[/tex].
26) Both lines have the same amplitude/Both lines have the same period/There is a vertical shift between [tex]f[/tex] and [tex]g[/tex].
Step-by-step explanation:
We proceed to describe succintly all differences and simmilarities between [tex]f[/tex] and [tex]g[/tex] in each case:
23) [tex]g[/tex] has an amplitude greater than the period of [tex]f[/tex]/Both lines have the same period/There are no shifts of any kind between both lines.
24) Both lines have the same amplitude/[tex]g[/tex] has a period less than period of [tex]f[/tex]/There are no shifts of any kind between both lines.
25) Both lines have the same amplitude/Both lines have the same period/There is an horizontal shift between [tex]f[/tex] and [tex]g[/tex].
26) Both lines have the same amplitude/Both lines have the same period/There is a vertical shift between [tex]f[/tex] and [tex]g[/tex].
When Larry tried to teach his dog Allegra to speak, he gave him 1 sausage - and he barked once. When he
gave him 2 sausages, he barked twice. Then he gave him 3 sausages, and he barked three times.
Larry predicted that Allegra would bark four times if he gave him 4 sausages.
What type of reasoning did Larry use to make his prediction?
A. Deductive reasoning
B. Inductive reasoning
C. Indirect reasoning
D. Circular reasoning
In case of : Allegra barking n = 4 times, when given 4 sausages - Inductive Logic is used.
Given : Allegra barks once & twice & thrice, when Larry gives him 1 & 2 sausages respectively.
So, later he assumes that he would bark 4 times, if given four sausages
Deductive Reasoning is when conclusion related to particular is drawn, based on general universal. Eg : All men are mortal, Ram is a man. Ram is mortal. Inductive Reasoning is when a generalised conclusion is drawn, based on specific case. Eg : Law of gravity based on apple falling. Allegra's case of barking n times for n sausages (1, 2,3 ...) is further generalised for other positive numbers & hence 4. Indirect Reasoning relates two events. If A is true leads to B is true, then B is false implies A has also been false. Circular Reasoning is a logical fallacy of beginning with an already assumed true statement.To learn more, refer https://brainly.com/question/2848937?referrer=searchResults
4x+16= 64, solve for x
Answer:
x=12
Step-by-step explanation:
4x+16=64
to isolate x, take 16 from both sides
4x+ 16(-16)=64-16
4x=48
divide 4 on each side
4x/4=x
48/4=12
x=12
The solution of the equation 4x+16= 64 is x = 12.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
For this case, we've to solve for x, the equation [tex]4x + 16 = 64[/tex]
Subtracting 16 from both the sides:
[tex]4x + 16 - 16 = 64 - 16\\4x + 0 = 48\\4x = 48[/tex]
4x is actually 4 times x, and is written in short, where the multiplication sign is hidden. This is usually done when variables like x,y are there.
Dividing both the sides by 4, we can get x on one side, and rest of the constant values on the other side.
[tex]\dfrac{4x}{4} = \dfrac{48}{4}\\\\1 \times x = 12\\x = 12[/tex]
(since 1 times any number is that number itself, and as x represents a number, so we got 1 times x =x).
Thus, the solution of the equation 4x+16= 64 is x = 12.
Learn more about solving equations here:
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answer this question!!! :)
Answer:
X = 1
Step-by-step explanation:
You first divide each side by 3 leaving you with X+5 = 6. Then you take the 5 to the other side leaving you with X=6-5 as the 5 changes from positive to negative. So 6-5=1 so X=1
Hope this helped
-A3miz
Age:13
whats y⁵ ×y im confused lol pls respond to this
Answer:
5y^5
Step-by-step explanation:
there is no real solution. really i just simplified. if you wanted a real answer y would have to be giving. if not then this is all the question is asking. for you to simplify
how many solutions does 2(4x+5)=8x+8
Answer:
Step-by-step explanation:
Its no soluction.
List 3 responsibilities that a consumer has when making a purchase.
Answer:
check receipt, know the return policy, read the fine print.
Step-by-step explanation:
The responsibilities of a consumer includes check receipt, know the return policy, read the fine print.
Responsibility of a ConsumerEvery consumer have basic responsibility they need to adhere to when making a purchase. This is done to protect their right via consumer laws and these responsibilities includes
check the receipt of purchase know the return policyread the fine print.When a consumer makes a purchase, s/he is required to check the receipt in order to avoid over billing or charges from done intentionally or not. Knowing the return policy and reading the fine print would guide you in the use of the product.
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Which of the following is equivalent to the expression shown below
Answer:
v^3/2
Step-by-step explanation:
(sqrt(v))^3
sqrt(v)^3
v^3/2
A pair of basketball shoes originally priced at $120.00 was markdown by 10%. Explain in writing (typing) how to find the amount of the markdown then explain how to find the new price for the shoes.
Step-by-step explanation:
B.shoes=$120
%D=10%
%D=10%×120÷100=$12
DISCOUNT =$12 S.P=M.P-D=120-12 =$109Tara is hosting a party. She wants to buy some invitations. She has £50 to spend in either shop 1 or shop 2. What is the maximum number of invitations she can buy from each shop?
Someone please help me ! Its past due and Ive been busy.. D:
( I didnt mean to click the first answer lol, sorry! <3 )
Answer:
It's okay the first answer is right, $0.15
The store makes $4.20 off the rope
Step-by-step explanation:
If sintheta = cos theta then the value of acute angle is
Answer:
45 degrees
Step-by-step explanation:
Here, we want to get the value of the acute angle
From the question, we have it that the sin of the acute angle equals its cosine
Recall;
cos A = sin (90-A)
Hence, if A is 45, then Cos A and Sine A will be the same
This means the value of theta which is the acute angle is 45 degrees
What is the slope of the line through the following points?
(1,3) and (-2,-1)
Answer:
4/3
Step-by-step explanation:
If you use the slope formula you should get 4 over 3 (4/3)
Given m∥n, find the value of x.
Answer:
x = 32
Step-by-step explanation:
these angles are same-side-exterior angles which are supplementary
therefore you can add them together and set equal to 180 to solve for 'x'
2x - 16 + 4x + 4 = 180
6x - 12 = 180
6x = 192
x = 32
How do you write in slope Intercept form with only
Rate of change: -5
Point: (3,0)
Answer: y= -5x
Step-by-step explanation:
intercept form is y=mx+b
we have the x, I guess we can also call it the rate of change
they gave us a point (3,0), we see the 0 is in the y place making it the b, now just plug it in, since its 0 we can leave it blank
Jenny counted the coins in her bank.
She had 4 times as many nickels as dimes.
She had 8 more quarters than nickels.
She had 52 dimes.
How many quarters did Jenny have in her bank?
A.
21
B.
64
C.
200
D.
216
Answer:
Step-by-step explanation:
its d cause there is actually 208 nickles and if u ad 8 more it gives u 216.
Answer: D.
Step-by-step explanation:
52x4=208
Since we know she has 4 times as many nickels as dimes(52), we just have to multiply 52x4 to get 208 nickels
208+8=216
We know that she has 8 more quarters than nickels(208) so we have to add 8 to 208 to get 216 quarters
I hope this helps
Hopefully it's brainlist
Find the values of each variable
Answer:
Option 3
Step-by-step explanation:
Have a Nice Day!
Which of the following is equivalent to
4x2y - 2y2x - 5xy
Select one:
a. -2x2y - 5xy + 4xy2
b. 2xy2 - 5xy + 4x2y
c. -2xy2 + 5xy + 4x2y
d. -2xy2 - 5xy + 4x2y
e. 2x2y - 5xy
Answer:
1 Simplify 4x\times 2y4x×2y to 8xy8xy.
8xy-2y\times 2x-5xy
8xy−2y×2x−5xy
2 Simplify 2y\times 2x2y×2x to 4yx4yx.
8xy-4yx-5xy
8xy−4yx−5xy
3 Simplify.
-xy
−xy
Step-by-step explanation:
write an equivalent expression in standard form.
(2x + 5)(x + 1)
The equivalent expression in standard form is 2x² + 7x + 5.
What is Expression?An expression is combination of variables, numbers and operators.
To write the expression in standard form, we need to simplify it by multiplying the two factors using the distributive property of multiplication:
(2x + 5)(x + 1) = 2x² + 2x + 5x + 5
Combining like terms, we get:
(2x + 5)(x + 1) = 2x² + 7x + 5
Therefore, the equivalent expression in standard form is 2x² + 7x + 5.
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11y + 19x - 5y +3x= pleas e show working please
Answer:
11y + 5y = 16y and 19x + 3x= 22x so 16 y +22x is your answer
Step-by-step explanation:brainliest plzzzz
Mrs. Goldstein is building a new house. She creates a scale drawing of the house on a piece of paper. The scale is 1cm = 5.5ft. The scale drawing of the house is a RECTANGLE and it measures 15cm by 25cm. What is the AREA of her house?
Answer:11343.75 feet
Step-by-step explanation:
so you do 15 x 5.5 and then 25 x 5.5 then you times the answers of the two and you get your answer
this should be right.
Hoped this helped
A company with 10,000 employees would like to know whether their employees think that they are paid enough. Do you think asking the question to 200 employees from the same department is most representative of all the employees? Explain your reasoning.
Answer: It is not.
Step-by-step explanation:
The salaries paid to the various departments of a company are usually different as some departments get paid more than others. For instance, in a manufacturing company, the R&D department would on average, get paid more than members of the Cleaning department.
Asking members of only one department therefore, about their pay satisfaction would not bring about a reasonable result because it would not be indicative of the thoughts of members of the other departments who are not being paid the same.