43 is the answer
Hoped I help :)
Answer:
the answer to the equation 5+37+1 = ? is 43
Step-by-step explanation:
37+5= 42
42+1= 43
In the room there are 5 big boxes. In each box there are 3 smaller boxes. In each of these small boxes the are 4 smaller boxes.How many boxes of different sizes are there in the room?
Answer:
Step-by-step explanation
there are 80 boxes in total
the internal auditing staff of a local manufacturing company performs a sample audit each quarter to estimate the proportion of accounts that are delinquent (more than 90 days overdue). for this quarter, the auditing staff randomly selected 400 customer accounts and found that 80 of these accounts were delinquent. what is the 95% confidence interval for the proportion of all delinquent customer accounts at this manufacturing company? (you should be using statistical software such as statcrunch.)
We will get the confidence interval for the delinquent accounts to be 0.1619, 0.2426.
Here we need to calculate the Confidence Interval for the proportion using Statcrunch.
First, we will select the option Stat. Next, we will select the option Proportion Stats. Now amongst the other available options, we will go to One Sample.
Since we have the summary available, we will select with Summary menu option.
Now the available data is clearly a binomial distribution, and hence, the confidence interval needs to be taken out with the help of normal approximation. Since this is a default in Statcrunch, we don't need to make any changes to this.
Under option # of success, we need to enter the number of delinquent accounts. This will be 80.
Now, # of observations is the sample size which is 400.
Now, we will select the confidence level for p with an interval of 0.95.
Hence we will get the interval to be 0.1619, 0.2426.
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Sides or angles with the same measure are congruent. True or false
Answer:
True
Step-by-step explanation:
Write the equation of the line that passes through
the given point and is parallel to the given line.
SEE EXAMPLE 1
15. (5, −4); y = ≤⁄x − 4
17. (-3, 2); y=-4
16. (2, 7); 3x - y = 5
18. (6, 4); 2x + 3y = 18
Answer:
I'll do #17 as an example of how to do the others. #15 doesn't make sense. What is "= ≤⁄x?"
Step-by-step explanation:
17. (-3, 2); y=-4
y=4 is a horizontal line, where all values of y are 4, regardless of x. A horizontal line has a slope of 0. [Y does not depend on x].
That leaves us with y =0x + b
For this line to go through point (-3,2), it would have to have a y-intercept (b) of 2 [b is the value of y when x=0]. Since y=0 regardless of x, b must be 2.
The parallel line that goes through (-3,2) is:
y = 0*x + 2, or
y = 2
Ms.Lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money did ms.Lawrence spend on smoked salmon
Answer:
$8.99
Step-by-step explanation:
1 pound = 16 ounces
y pound = 8 ounces
\(\frac{1}{16} :\frac{y}{8}\)
y · 16 = 1 · 8
16y = 8
16y ÷ 16 = 8 ÷ 16
y = 0.5
0.5 pound = 8 ounces
----------------------------------
1 pound = $17.98
0.5 pound = y
\(\frac{1}{17.98} :\frac{0.5}{y}\)
y · 1 = 17.98 · 0.5
y = $8.99
which graph of ordered pais shows a proportional relationship? i need help lol
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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can someone help me i will give you a barinlist
a virus is accidentally released from a cdc lab. the virus infects everyone in a 24 mile radius from the cdc lab where it was released. if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected?
If the population density for the area is 18.8 residents per square mile, to the nearest hundred, approximately 34,000 residents would be infected.
When a virus is accidentally released from a CDC lab, and it infects everyone within a 24-mile radius from the CDC lab, then if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected.
The number of people infected within the 24-mile radius from the CDC lab is calculated as follows:
The area of a circle with a radius of 24 miles is A = πr²,
which is A = π(24²) = 1,809.56 square miles, and the population density for the area is 18.8 residents per square mile.
Therefore, the number of people infected is calculated by multiplying the area by the population density:
Residents infected = area x population density
= 1,809.56 x 18.8 ≈ 34,037.
Approximating to the nearest hundred yields 34,000.
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When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)
The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.
To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).
Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.
Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
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Let S be a relation on the set R of all real numbers defined by S={(a,b)∈R×R:a 2 +b 2 =1}. Prove that S is not an equivalence relation on R.
The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.
To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.
Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.
Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.
Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.
Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.
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The large circle has a radius of 10 cm. Find the radius of the
largest circle which will fit in the middle.
Answer:
Let AB = 2r cm where r is the radius of each small circle
And DB = √2 *2r cm
And we have that 2r + √2 *2r = 20 → r + √2r = 10 → r = 10 / [ 1 + √2] cm
So the radius of the small circle in the center = √2r − r =
[ 10√2] * / [ 1 + √2] ] − 10 / [ 1 + √2] cm =
[10 ( √2− 1) ] / [ 1 + √2] cm ≈
[1.71572875....] cm
Step-by-step explanation:
A restaurant owner wants to renovate the paneling of its walls. When determining the measurement of the walls currently from ceiling to floor all the way around the dining room of the restaurant, which unit measure would apply best?
The best unit to measure the length will be feet.
What is unit ?
A unit of mensuration may be a definite magnitude of a amount, outlined and adopted by convention or by law, that's used as a regular for mensuration of constant quite amount. the other amount of that sort is expressed as a multiple of the unit of mensuration.
Main body:
The length to be measured is not too long nor too short , so the best unit to measure the length of walls currently from ceiling to floor all the way around the dining room of the restaurant,feet will be best.
Hence feet is the appropriate answer.
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In a random sample of 19 residents of the state of Montana, the mean waste recycled per person per day was 1.4 pounds with a standard deviation of 0.7 pounds. Determine the 90% confidence interval for the mean waste recycled per person per day for the population of Montana. Assume the population is approximately normal.
Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places
The critical value that should be used in constructing the confidence interval is 1.764≤μ≤2.636
How to determine the critical value?The given parameters to help us understand this are
The sample size = 19
The sample mean is 1.4
The sample standard deviation is 0.7
The confidence level = 90% = 0.90
The level of significance = 0.10
The degree of freedom
Df= n-1
The critical value of t using TINV(0.10.11) is
Critₓ = α/2 d.f
t= (0.5,11) = ±1.76
The confidence interval μ = 1.4 ± [(1.796)(0.70)]/√19
Therefore this is equal to 0.76≤μ≤0.04
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Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.
Answer:
The amount she saves is 25% of her income
Step-by-step explanation:
She is paid $11 per hour
She works 9 hours per day
and for 24 days per month
So, she works 9(24) hours per month
= 216 hours per month
Now, she is paid $11 hourly, so for 216 hours,
she will have 11(216) = $2376
Total income = $2376 per month
Saving = $594 per month
As a percentage, we divide the savings by the total income,
savings/(total income) = 594/2376 = 1/4 = 0.25
Hence we get 25%
how do i do a dialation
Answer:
A dilation is a type of transformation that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is. Below is a picture of each type of dilation (one that gets larger and one that gest smaller).
Step-by-step explanation:
Dilations can also reduce the size of shape. The picture below demonstrations a dilation of 12 Any time that the scale factor is a fraction, the image will get smaller.
It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2, 4) by a scale factor of 12.
Please answer and i will mark you brainliest
Answer: 9x I’m pretty sure
Step-by-step explanation:
Q1
(b) Factorise
x2 – 36
(1 mark)
Answer:
(x+6)(x-6)
Step-by-step explanation:
Given: x²-36
Difference of Squares Formula: x²-a²=(x+a)(x-a)
Since 6²=36: x²-6²=(x+6)(x-6)
State an equivalent trigonometric expression in terms of its
reference angle for cos(5π/6)
An equivalent trigonometric expression for cos(5π/6) in terms of its reference angle is -cos(π/6).
To express cos(5π/6) in terms of its reference angle, we can use the concept of symmetry in the unit circle and the properties of cosine.
The reference angle is the acute angle formed between the terminal side of the angle in standard position and the x-axis. In this case, the angle 5π/6 is in the second quadrant, and its reference angle can be found by subtracting it from π (180 degrees).
Reference angle = π - 5π/6 = π/6
Now, let's determine the sign of cosine in the second quadrant. In the second quadrant, cosine is negative.
Therefore, cos(5π/6) is equivalent to -cos(π/6) when expressed in terms of its reference angle.
Thus, an equivalent trigonometric expression for cos(5π/6) in terms of its reference angle is -cos(π/6).
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The area of a circular mouse pad is 64 square inches. Use 3.14 for 7. Estimate its radius to the nearest integer.
Answer:
about 4.52
Step-by-step explanation:
Since pi times radius squared is the formula for area, you would first divide 64 by 3.14 to get about 20.4. Then since you square the radius, you would do the opposite and find the square root which is about 4.52.
What is fourty three hundredths as a decimal
Answer:
0.043
Step-by-step explanation:
0.0 is tenths
0.00 is 100ths
A cheesecake recipe says:
Mix 12 ounces of cream cheese with 15 ounces of sugar.
1. What is the unit rate of cream cheese for sugar?
2. what is the unit rate of sugar for cream cheese?
(CORRECT ANSWER GETS A GOOD 5 STARS AND BRAINLESST)
Number 1 answer :
Cream cheese = 12 Sugar= 15 12 divided by 15 = 0.8
There are 0.8 ounces of cream cheese for every ounce of sugar.
Number 2 answer:
Sugar= 15 Cream cheese = 12 15 divided by 12 = 1.25
There are 1.25 ounces of sugar for every ounce of cream cheese.
The area of a trapezium is 105cm² and its height is 7 cm. If one of the parallel sides is longer than the other by 6cm, find the lengths of two parallel sides.
Answer:
Step-by-step explanation:
I’ll mark brainliest!
Help please :)
Answer:
i think it is b ... not sure
Step-by-step explanation:
Write an expression for the sum of 187 and r.
Answer:
An algebraic expresion for the sum of 187 and r would be written as 187 + r.
i took classes at a course called RSM which pretty much explains algebra
y
10
1
B(7,9)
Create a rectangle around the parallelogram. The
dimensions of this rectangle are
Find the area of the four right triangles surrounding the
parallelogram. The total area of the triangles is
square units
Subtract the triangle areas from the area of the
rectangle to obtain the area of the parallelogram. The
area of parallelogram ABCD is square units.
6
2
-10
6
-6
A-3,-1)
-2
10
C(8, -1)
D(-2,-11)
Answer:
rectangle: 11 × 20triangle area: 110 u²parallelogram area: 110 u²Step-by-step explanation:
See below for a graph showing the parallelogram and the rectangle.
The dimensions of the rectangle are 11 by 20. The rectangle area is ...
rectangle area = bh = (11)(20) = 220 . . . square units
There are 2 right triangles with a base of 10 and a height of 1. There are 2 right triangles with a base of 10 and a height of 10. The total area of the triangles is ...
triangle area = 2(1/2)(10)(1) +2(1/2)(10)(10) = 10(1 +10) = 110 . . . square units
The area of the parallelogram is the difference of these, ...
parallelogram area = rectangle area - triangle area
= (220 units²) -(110 units²) = 110 units²
The area of parallelogram ABCD is 110 square units.
_____
Check
The parallelogram has a base of 10√2 and a height of 5.5√2, so an area of (10√2)(5.5√2) = 110 square units. This matches the above result.
Answer:
1) 11 by 20 2) 110 3) 110 correct on edg
Step-by-step explanation:
Create a rectangle around the parallelogram. The dimensions of this rectangle are
11 by 20
Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is
110 square units.
Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is
110 square units.
For the years between 1980 and 2012, the function c(x)=0.006x^3−0.48x^2+12.8x+85 approximates the number of countries that attended the summer Olympics x years after 1980. Use the polynomial remainder theorem to approximate the number of countries that attended the Olympics in 2004.
Enter the answer in the box.
Answer:
199
Step-by-step explanation:
2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:
c(x) = ((0.006x -0.48)x +12.8)x +85
c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85
= 4.736(24) +85 = 198.664
c(24) ≈ 199
The approximate number of countries attending the 2004 Olympics was 199.
Suppose U = {1, {2, 3}, 3, d, {d, e}, e} is a universal set with the following subsets:
A = {{2, 3}, 3, {d, e}}, B = {1, {2, 3}, d, e} and C = {1, 3, d, e}.
Which one of the following sets represents B ∩ C? (the intersection of B and C)
Select one:
a.
{d, e}
b.
{3, {2, 3}}
c.
{1, 3, d, e}
d.
{1, d, e}
The set that represents the intersection of sets B and C is option d. {1, d, e}.
The intersection of two sets, B and C, consists of the elements that are common to both sets. Looking at the given sets, B = {1, {2, 3}, d, e} and C = {1, 3, d, e}, we can identify the elements that are present in both sets.
Set B contains the elements 1, {2, 3}, d, and e. Set C contains the elements 1, 3, d, and e. To find the intersection of B and C, we need to identify the elements that are present in both sets.
From the given sets, we can see that the elements {2, 3} and 3 are only present in set B and not in set C. Therefore, they are not part of the intersection.
The elements that are common to both sets B and C are 1, d, and e. These elements are present in both sets B and C. Hence, the intersection of B and C is {1, d, e}.
Therefore, option d. {1, d, e} represents the set B ∩ C.
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a city council of 11 republicans and 8 democrats picks a committee of 4 at random. what's the probability thy choose all democrats?
The probability they choose all democrats is 0.01805
How to determine the probability they choose all democrats?From the question, we have the following parameters that can be used in our computation:
Republicans = 11
Democrats = 8
Number of selections = 4
If the selected people are all democrats, then we have
P = P(Democrats) * P(Democrats | Democrats) in 4 places
using the above as a guide, we have the following:
P = 8/19 * 7/18 * 6/17 * 5/16
Evaluate
P = 0.01805
Hence, the probability they choose all democrats is 0.01805
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Distance between (-5,2) and (-5,-4)
Answer:
The distance between these two points is 6
Step-by-step explanation:
distance formula