The answer is 624 bagels in 13 hours. The rate is 48 bagels per hour.
240/5 = 48
48 * 13 = 624
1. Find y if log, y – 2 = log, 92.
Answer:
well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.
so y = 94
The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217
Solution :
Let [tex]$x_i$[/tex] represents the prices for the digital camera.
[tex]$x_i$[/tex] [tex]$x_i^2$[/tex]
225 50625
236 55696
217 47089
202 40804
231 53361
185 35225
193 37249
185 34225
217 47089
[tex]$\sum x_i = 2136$[/tex] [tex]$\sum x_i^2 = 460388$[/tex]
Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{2136}{10}$[/tex]
= 213.6
Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]
[tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]
= 46038.8 - 45624.96
= 413.84
Therefore, standard deviation,
[tex]$\sigma = \sqrt{Var}$[/tex]
[tex]$=\sqrt{413.84}$[/tex]
= 20.343
Now to find the 93% confidence interval, the formula us
[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
For 93%, the value of z is 1.81
∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]
C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]
[tex]$=213.6 \pm 11.6438$[/tex]
Therefore, lower bound = 213.6 - 11.6438
= 201.9562
Upper bound = 213.6 + 11.6438
= 225.2438
∴ [tex]$201.9562 < \mu < 225.2438$[/tex]
or [tex]$202< \mu < 225.2$[/tex]
What is the equation of the graph below?
Answer:
y = sin(x + 90°)
Step-by-step explanation:
cos 0 = 1
Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.
sin 0 = 0
sin 90° = 1
The translation is 90°.
Answer: y = sin(x + 90°)
What is the measure of angle XYZ?
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm
Answer:
The formula for circumference of a circle is
2pi,R.
In which R= radius. Then we Insert 18 in for the circumstances.
so, 18=2πr
then solving for r
18=2
÷. ÷
2. 2
R = 9,,
Write the slope-intercept equation of this line.
when the answers are
A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3
Answer:
[tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope
The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.
In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.
Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:
[tex]y=-\frac{1}{2} x+b[/tex]
2) Determine the y-intercept
In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:
[tex]y=-\frac{1}{2} x-3[/tex]
I hope this helps!
I’ll Give Brainliest .. SHOW WORK ! Brenda is trying to save money. She learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it. Brenda had $2,345 in her savings account at the end of the year. How much interest did Brenda get from her bank.
A) $117.25
B) $1,172.59
C) $1.72
D) $17.25
Answer:
$117.25
Step-by-step explanation:
To solve, multiply the interest by the total amount in savings.
You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).
Brenda get $117.25 as interest from her bank.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Brenda learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it.
Brenda had $2,345 in her savings account.
So, the interest Brenda get
= 2345 x 5/ 100
= 2345 x 0.05
= $117.25
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Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 8 dollars.
A. What proportion of the bank's Visa cardholders pay more than 32 dollars in interest?
B. What proportion of the bank's Visa cardholders pay more than 40 dollars in interest?
C. What proportion of the bank's Visa cardholders pay less than 19 dollars in interest?
D. What interest payment is exceeded by only 19% of the bank's Visa cardholders?
Here's link to the answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
exponent
Step-by-step explanation:
Answer:
power or exponent it can be both, but being specific here, choose exponent
Step-by-step explanation:
i studied this concept trust me
Could you please answer? I'm on a big test
Answer:
it is option C
Step-by-step explanation:
download to help your work
1/ a cube and b to the power 4
In a class of 7, there are 3 students who have done their homework.
If the teacher chooses 3 students, what is the probability that none of the three of them have done their
homework?
Choose 1 answer:
2/37
6/41
ОООО
5/29
4/35
Answer:
4/35
Step-by-step explanation:
Probability of 1 student having no hw is 4/7, then 3/6, then 2/5
4/7 x 3/6 x 2/5 reduces to 4/35
A pet store has 6 cats. Here are their weights (in pounds).
16. 9. 7. 9, 11, 16
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
pounds
?
Find m∠D
m∠D=
greatly appreciate if done asap:)
In the triangle, ABC, the measure of ∠A is 30° and the measure of ∠C is 90°. What is the measure of ∠B?
Answer:
60°
Step-by-step explanation:
angle A +angle B +angle C = 180
30° +B+90°= 180
120°+B=180°
B=180°-120°
B=60°
Which of these describes the transformation of ∆XYZ to ∆X᾿Y᾿Z᾿?
9514 1404 393
Answer:
A. translation 8 left
Step-by-step explanation:
Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.
Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.
Answer:
a is the answer.
Step-by-step explanation:
can you guys help me pls
Answer
A
Step-by-step explanation:
So in the diagrams we see there is 2/3 shaded into a 12 cutted square. So we multiply 4x3 to get 12. So now we have to turn the 3 into 12.
so
[tex]\frac{2}3}[/tex] x[tex]\frac{4}{4}[/tex] =[tex]\frac{8}{12}[/tex]
Since we multiplied 4 on the bottom we have to multiply 4 on the top.
sorry im not good at explaining but if you need me to re explain ill work on it. :)
Convert 38,338,856 seconds to days. Round to 1 decimal.
Answer:
443.736759 day
Step-by-step explanation:
To convert a seconds to days, divide the time by the conversion ratio.
So.....
One day is equal to 86,400 seconds, you can use this formula to convert:
days = seconds ÷ 86,400
The time in days is equal to the seconds divided by 86,400.
Example: Convert 50,000 seconds to days (use the formula above)
50,000 sec = (50,000 ÷ 86,400) = 0.578704 day
round 36 to the nearest hundredth. for the brainiest
36 to the nearest hundredth is just 36
To round 36 to the nearest hundredth consider the thousandths' value of 36, which is 0 and less than 5. Therefore, the hundredths' value of 36 remains 36
Answer:
Round 36 to the nearest tenth, Leaving only one number after the decimal point, Then you have come to the right post.
Step-by-step explanation:
Round off to nearest 10. Rounding every place-value of number. Round off a number to the nearest tens round off to the nearest multiple of ten.
A large number may be rounded off to the nearest 10.
Hope It Helps!
Please help meeeee I’m desperate
Answer: I believe the Big B is 169 and the perimeter is 52
Step-by-step explanation:
the u.s. produces 5.39x 10
The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes
How to express exponents in standard notation?We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.
Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;
5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10
⇒ 5.39 * 10000000
⇒ 53,900,000 metric tonnes
The complete question is;
The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation
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Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 19 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?
Answer:
square side = 57
hexagon side = 38
Step-by-step explanation:
x = side length of square
y = side length of hexagon
x = y + 19
4x = 6y
substitute for x:
4(y + 19) = 6y
4y + 76 = 6y
subtract 4y from each side of the equation:
2y = 76
divide both sides by 2:
y = 38
x = 57
Answer:
Hi there,
Make the side of the hexagon = x
Side of square = x + 12
Both figures have the same perimeters.
4(x + 14) = 6x
4x + 56 = 6x
Collect like terms:
6x - 4x = 56
2x = 56
x = 28
Length of hexagon side = 28 feet
Length of square side = 42 feet
Hope this helps :-)
The area of a square lawn is 100 square yards. How long is each side of the lawn?
Answer:
25
Step-by-step explanation:
a square has 4 sides.
100/4=25
PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)
Find X.
Round to the nearest tenth.
Z
17 ft
8 ft
Х
16 ft
Y
X= [?]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Fnter
Answer:
83
Step-by-step explanation: st had this question
What is the value of the expression below when x=1? 4x ^2 5x
Answer: 80
Step-by-step explanation:
Just substitute 1 for x in your expression and solve
The area of a triangle is 108 square meters. If the height is 12 meters, what is the length of the base?
Answer:
area of triangle = 1/2 b×h
Step-by-step explanation:
108=1/2×b×12
108×2=12b
216/12=b
18=b
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
Angle YXU is equal to 113 degrees. those are supplementary angles
Step-by-step explanation:
The manufacturers of a dietary supplement claim that their product will help customers lose weight. To test their claim, they select a sample of nine subjects, and their weights are recorded. Then, the ten subjects take the supplement for one month, and their weights are recorded again. The weights, before and after, are listed below: Subject 1 2 3 4 5 6 7 8 9 Before 225 245 188 210 282 275 230 195 190 After 215 240 188 212 175 260 225 200 185 Assuming that this data is used to conduct a hypothesis test to test the manufaturers' claim, what would be the test statistic
Answer:
Assuming that this data is used to conduct a hypothesis test to test the manufacturers' claim, the test statistic we an use is:
the paired sample t-test.
Step-by-step explanation:
a) Data and Analysis:
Subject Before After
1 225 215
2 245 240
3 188 188
4 210 212
5 282 175
6 275 260
7 230 225
8 195 200
9 190 185
b) The paired sample t-test is used to compare the means from the same dataset but at different times (say, one month apart). It supports the comparison of sample data before and after the data subjects have taken the dietary supplement. When the t-value is high, it is an evidence that the null hypothesis should be rejected. The higher value of the t-test, therefore, indicates that there is a large difference between the two sample sets. On the other hand, a small t-value shows similarity between the two sample sets.
- En una tienda, durante las rebajas, encontramos los siguientes carteles: “ De 150 euros a 90 euros” y “De 40 euros a 24 euros”. ¿Tienen los dos artículos el mismo porcentaje de rebaja ?
Answer:dwadwdwd
Step-by-step sadawdwdwadwdwexplanation:
Which expression will complete step 3 in the proof? sin2(x) 2sin(x) 2sin(x)cos(x) sin(x)cos(x) + sin(x)
Answer:
It's D
Step-by-step explanation:
Edge 2021
The complete step 3 in the proof is 2sin(x) {1+ cos(x)}.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given expression:
sin2(x) + 2sin(x)
This is the first step.
And the second step is given,
2sin(x)cos(x) + 2sin(x)
And to find the third step:
Simplify,
Factor out the common factor,
2sin(x) {1+ cos(x)}.
Therefore, the required step is 2sin(x) {1+ cos(x)}.
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