Answer:
The two numbers are 6 and 10.
Step-by-step explanation:
First, you have to form equations. With the given informations, let x be the larger number and y be the smaller number, the equations will be :
x - y = 4
3x + y = 36
Next, you have to solve the simultaneous equations :
x - y = 4 ---------- (1)
3x + y = 36 ------- (2)
(2) + (1)
3x + y + x - y = 36 + 4
4x = 40
x = 10
Substitute x = 10 into (2)
3(10) + y = 36
30 + y = 36
y = 36 - 30
y = 6
A study is conducted to determine how long a person will wait on hold on a telephone call before hanging up. A sample of 1000 people found that 569 hung up the phone in the first minute of waiting. It is of interest to estimate a range of plausible values for the true proportion of people that will not wait more than one minute on hold. Round all answers to three decimal places.(a) Construct a two-sided 95% confidence interval for p, the true proportion of people that will not wait on hold more than one minute. This confidence interval is ______
Answer:
CI = ( 0,539 ; 0,599)
Step-by-step explanation:
The proportion p₀ of person that hung up the phone in the first minute of waiting is:
p₀ = 569/1000 p₀ = 0,569 p₀ = 56,9 %
Then q₀ = 1 - 0,569 q₀ = 0,431 q₀ = 43,1 %
Sample size is n = 1000
A 95 % CI is: α = 5 % α = 0,05 a/2 = 0,025
In z-table we look z ( score ) for 0,025 z = ± 1,96
Now CI for proportion is:
p₀ - z (α/2) * √ (p₀*q₀ )/n < p < p₀ + z (α/2) * √ (p₀*q₀ )/n
we need to find out
z(α/2) * √ (p₀*q₀ )/n = 1,96*√ ( 0,569*0,431)/1000 = 1,96 *0,01566 =0,03
Then
CI ( 95%) = 0,569 ± 0,03 = ( 0,569 - 0,03 ; 0,569 + 0,03)
CI = ( 0,539 ; 0,599)
PLZ HELP ME DO THIS ITS DUE RN
Answer:
least to greatest: -5 and 1
Step-by-step explanation:
they represent the zeroes of the function and are sorted from least to greatest
What is the area of a quarter circle with a radius of 40 cm?
Answer:
A≈5026.55cm²
Brainliest please
Consider the exponential function of f(x) =10(2)x. Find the value of f (0). What point does this represent on the graph of y=f (x)? Is this an increasing or decresasing function? How can you tell based on its equation.
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
don’t send links; PLEASE HELP FAST I WILL DO ANYTHING, I’LL GIVE U 2K ON BLOXBURG
Answer:
i think its 90
Step-by-step explanation:
you would multiply the right box which is 2 x 3 ( i got 3 because its half of 6 which is at the top) then you would multiply the left box which is 3 x 5
2 x 3 = 6
3 x 5 = 15
15 x 6 = 90
i dont need the 2k on bloxburg
if its right could i get brainliest?
HELP FAST!! please help me i need help really bad thank you i will give u the brainly answer
Answer:
B.
Step-by-step explanation:
2.4% = 0.024
Answer:
B
Step-by-step explanation:
A square sandbox has sides that are 10 feet long. What is the sandbox's area?
Answer:
0.0929
Step-by-step explanation:
thats the answer
pls hurry i don’t need a explanation just a answer
Answer:
Surface area of the triangular prism = 368 m²
Step-by-step explanation:
Surface area of the triangular prism = Area of the triangular bases + Area of the lateral sides
Area of the triangular base = [tex]\frac{1}{2}(\text{Bases})(\text{Height})[/tex]
= [tex]\frac{1}{2}(12)(8)[/tex]
= 48 m²
Area of the lateral sides = (Perimeter of the base) × Height
= (10 + 10 + 12)×10
= 320 m²
Surface area of the triangular prism = 320 + 48
= 368 m²
Therefore, surface area of the triangular prism = 368 m²
help me please thanks
Answer:
325m = c
Step-by-step explanation:
Each meeting room has 325 chairs.
Since we don't know how many meeting rooms there are, the number is replaced with the variable, m.
An equation is a problem with an equals sign so you need to put what it would equal.
Since you don't know how many meeting rooms there are you use the variable, c which represents the total number of chairs.
Use a half-angle formula to find the exact value of the expression.
Step-by-step explanation:
The answer is
[tex] \sqrt{2} - 1[/tex]
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything.
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The length of a rectangle is 12 miles less than twice the width. The perimeter of the rectangle is 96 miles. Find the dimensions of the rectangle.
Answer:
Length= 68 miles
Width=28 miles.
Step-by-step explanation:
Length=2x+12
Width=x
2x+12+x=96
3x+12=96
3x=96-12
3x=84
X=28
Width=28
Length=(2×28)+12=68
Ahmed multiplies 8 by 1.15. Which number he is trying to find?
Answer:
9.2
Step-by-step explanation:
8×1.15 = 9.2
I think..
Question:
Ahmed multiplies 8 by 1.15. Which number is he trying to find?
______________________________________________
Solution:
On multiplying 8 by 1.15, we get,
= 8 * 1.15
= 1¹ . 1⁴ 5
* 8
9 . 2 0
To the power 1 and 4 show that 1 and 4 carried over.
Hence the number he is trying to find is 9.20 or 9.2.
how do you write f(x)=2x² -8x+6 in factored form ?
Answer:
Step-by-step explanation:
[ x^3 + x^2 ] + [ x^2 - 5x - 6 ] =
x^2 ( x + 1) + (x + 1) ( x - 6) =
(x + 1) ( x^2 + x - 6) =
( x + 1) ( x + 3) ( x - 2)
Maybe this?
name the property that justifies each statement -3(m+8)=-3m-24
Answer: Distributive Property
Explanation: The distributive property tells us that if we're given an expression such as -3(m + 8), we can multiply the -3 by both the m and the 8.
Determine if the triangle are similarity side-side-side similarity
PLS HELP!! :))
Find the surface area of a sphere with a diameter of 8 ft. Round your answer to the
nearest tenth.
PLEASE HELP
I will give brainliest to right answer
Answer:
I'm pretty sure it is D because they're not super close to the line they're more spread out but I'm not rly sure
Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108. He found that the average self-esteem score for this sample was 135.2, well above the actual midpoint of the scale. Given that the standard deviation of self-esteem scores was 28.15, what would the z score be for a person whose self-esteem score was 101.6
Answer:
The z-score for a person whose self-esteem score was 101.6 would be of -0.227.
Step-by-step explanation:
Z-score:
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.
Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108.
This means that [tex]\mu = 108[/tex]
The standard deviation of self-esteem scores was 28.15
This means that [tex]\sigma = 28.15[/tex]
What would the z score be for a person whose self-esteem score was 101.6
This is Z when X = 101.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{101.6 - 108}{28.15}[/tex]
[tex]Z = -0.227[/tex]
The z-score for a person whose self-esteem score was 101.6 would be of -0.227.
pls help
When you multiply a fraction by a whole number, you can use the property to regroup factors to make it easier to multiply since the product
remains true. 3/4 * 7= 7 * 3/4.*
A. Communitive Property
B. Associative Property
C. Distributive Property
what the total area of a rectangular prism with a hight of 17feet a width of 12 feet and a thickness of 10 feet ?
Answer:
[tex]A=988\ \text{feet}^2[/tex]
Step-by-step explanation:
Given that,
The height, width and the thickness of a rectangular prism are 17 feet, 12 feet and 10 feet.
We need to find the area of a rectangular prism. The formula for the ara of rectangular prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Substitute all the values,
[tex]A=2(17\times 12+12\times 10+10\times 17)\\\\A=2\times 494\\\\A=988\ \text{feet}^2[/tex]
So, the area of the rectangular prism is equal to [tex]988\ \text{feet}^2[/tex].
Eight adults are surveyed and asked how many credit cards they possess. Their responses are 4, 0, 3, 1, 5, 2, 2, and 3. Complete the table below.
x
x Overbar
x minus x Overbar
(x minus x Overbar) squared
4
2.5
0
2.5
3
2.5
1
2.5
5
2.5
2
2.5
2
2.5
3
2.5
Using the formula for standard deviation
Sigma = StartRoot StartFraction Sigma-summation (x minus x Overbar) squared Over n EndFraction EndRoot
find the standard deviation for the data in the table.
a. StartRoot 0 EndRoot
b. 0
c. 2.25 almost-equals 1.5
d. 2.25
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST IF CORRECT
can someone teach me how this goes? geometry , inscribed angles but circles
Answer:
60
Step-by-step explanation:
So basically all you need to know for this one is that when there is an inscribed angle, the angle measure is 1/2 of the measure of the arc for that angle.
That might sound confusing, but an example from the picture is that angle ABC will be half of arc AC. This means that angle ABC is 1/2 of 120 = 60 degrees.
The answer is 60 degrees.
Which choice is more than 12 but less than 13?
A-√170
B-√150
C-√144
D-√140
A company makes 140 bags.
37 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
38 of the bags have neither zips nor buttons.
How many bags have zips on them?
2, 4, 6, 7, 6, 6, 6,3 What is the Mean? What is the Median? What is the Mode? What is the Range?
Answer:
Mean: 5
Median: 6
Mode: 6
Range: 5
hope that helps
Step-by-step explanation:
Mean = 5
Median = 6
Mode = 6
Range = largest no.- smallest no.
= 7-2 = 5
find the ratio 3600sec is to 2hours
Answer:
30:1
Step-by-step explanation:
Question 16
4 Points
Using the formula 1 = PRT, find I when P = 3634, R = 6% and T = 7. Round your answer to the nearest penny. Enter only the value
without the $.
Round your answer to 2 decimal places.
Add your answer
Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of
$180. He charged the roller blades on his credit card and made the minimum monthly
payment of $20. When he received his first statement, he read that the minimum finance
charge for each month that there was a balance on the card would be $15. How many
months will Malik need to pay off the roller blades? (Assume that a minimum finance
charge of $15 will apply to all balances of $250 or less.)
Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.
Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.
In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.
Step-by-step explanation:
A spinner has 3 equal sections that are purple, green, and blue. What is the probability of not landing on blue?
Answer:
P(not landing on blue section)=2/3
Step-by-step explanation:
Not landing on blue section = landing on one of the other sections
the remaining sections are 2 each one has a P=1/3
2 × 1/3 = 2/3
Answer:
66%
Step-by-step explanation:
2 divided by 3= 0.666666666 which is then converted to percent (66%)