Answer:
cost of each sub = $6, delivery fee = $2
Step-by-step explanation:
Let $x be the cost of each sub and $c be the delivery fee
3x + c = 20
4x + c = 26
x = 6, c = 2
The sanctuary takes out a $12,500 loan to renovate its gift shop. At 5%
simple interest, how much would the sanctuary need to pay back in total after 10 years?
Answer:
20361.18283
Step-by-step explanation:
p(1+r/100)n
12500(1+5/100)power 10
i hope this answer helps a little bit.
What do you want to be when you grow up? According to a nationwide survey of a random sample of 1000 kids under the age of 12 some kids want to be a ninja, a dragon keeper, a dancing unicom, and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study to find a 98% confidence interval for the true proportion of kids who want to be a doctor.
a. Identify the parameter of interest.
b. Check if the conditions for constructing a confidence interval for p are met.
C. Find the critical value for a 98% confidence interval. Then calculate the interval
d. Interpret the interval in context
Using the z-distribution, we have that:
a) The parameter of interest is the proportion of kids who want to be a doctor.b) Since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.c) The critical value is [tex]z = 2.327[/tex]. The interval is (0.0339, 0.066).d) We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.Confidence interval of a proportionIn a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].Item a:
We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.
Item b:
Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.
Item c:
Fifty-five of the 1000 kids want to be a doctor, hence [tex]n = 1000, \pi = \frac{55}{1000} = 0.055[/tex].98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is [tex]z = 2.327[/tex].The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]
The interval is (0.0339, 0.066).
Item d:
We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.
You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070
If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.
Answer: 79 and 14
X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.
What is the y-intercept of this line?
Answer:
(0, -3)
Step-by-step explanation:
because at that point is where the line crosses the y axis.
What is the day after the day after tomorrow if the day before the day before yesterday was Friday ?
Answer:
Wednesday
Step-by-step explanation:
Friday is the day before the day before yesterday
Saturday is the day before yesterday
Sunday is yesterday
Monday is today
Tuesday is tomorrow
Wednesday is the day after tomorrow
Answer:
i cant seem to find ur anwser it seems confusing
Step-by-step explanation:
it is confusing
I went to the grocery store and my subtotal was $78.00. There is a 4.5% sales tax.How much is my total grocery bill including tax
Answer:
81.51
Step-by-step explanation:
So first you will want to take the percentage of the $78.00.
What we do is multiply 78.00 by 0.045
which is 4.5%
You then get $3.51
Add that to the $78.00:
78.00 + 3.51
= $81.51
At birth, a newborn's head is about 25% of its total length. If a baby is 18 inches long, about how many inches is the baby's head?
Answer:
18 × 0.25 = 4.5
Step-by-step explanation:
25% is multiplying by 0.25
Answer:
4.5 inches long
Step-by-step explanation:
25/100*18
18/4
4.5 inches long
2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
Working together, how long would it take them to frame in a room?
Answer:
4.5 hours
Step-by-step explanation:
to find the average/middle (how long it would take them when working together) you add both numbers and divide by two
4+5=9
9÷2= 4.5
hope this helps chu <3
The time take by them to the job together is 5 hours.
What is time taken?Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.
Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
We need to find the time taken by them if they work together,
So, the total hours taken by Sheila = 5 hours
So, she will do the work in 1 hour = 1/5 parts
Similarly, for David also, he will do in 1 hour = 1/4
Now, when they are working together in hour = 1/4 + 1/5
= 4+5 / 45 = 9/45 = 1/5
Since, there work in 1 hour = 1/5 units
That mean, they will do the whole work in 5 hours.
Hence, the time take by them to the job together is 5 hours.
Learn more about time taken, click;
https://brainly.com/question/16963199
#SPJ2
HELP FAST: ( FOR 20 POINTS)
Louis says that the line shown on the scatter plot is a good line of fit for the data because there are two points that lie on the line. Is Louis correct? Explain your reasoning.
Andrea and Damian are collecting clothing items to donate. When they begin tracking their progress, Damian already has 5 items collected. Damian's goal is to collect 3 items per day, and Andrea's goal is to collect 4 items per day.
Answer:
5 days
Step-by-step explanation:
Given
Damian
[tex]Base\ Items = 5[/tex]
[tex]Rate = 3[/tex] daily
Andrea
[tex]Rate =4[/tex] daily
Required [Missing from the question]
How long will they get the same number of items
Represent the number of items with x and the days with y.
So:
For Damian
[tex]y = Base\ Items + Rate * x[/tex]
[tex]y = 5 + 3 * x[/tex]
[tex]y = 5 + 3 x[/tex]
For Andrea
[tex]y = Rate * x[/tex]
[tex]y = 4* x[/tex]
[tex]y = 4x[/tex]
Equate both expressions.
[tex]4x = 5 + 3x[/tex]
Collect like terms
[tex]4x - 3x = 5[/tex]
[tex]x = 5[/tex]
Hence, they will have equal amount of items after 5 days
Please help me with the question
Answer:
4p,q+r
4p(q+r)
4pq+4pr
£250 in the ratio 3 : 5
Answer:
Let 3x and 2x are divided into 250.
Step-by-step explanation:
3x + 2x = 250
⇒ 5x = 250
⇒ x = = 50
∴ 3x = 3 × 50 = 150 and
2x = 2 × 50 = 100
Thus, the required numbers are 150 and 100.
what is the volume of the fuigure.
Answer:
volume = 504
Step-by-step explanation:
the basic formula for volume is length × width
14 x 3 x 3 x 2 x 2 = 504
What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
Jackson has a sprinkler that rotates in a circle with a 6 foot radius. What is the approximate area that Jackson can expect the sprinkler to cover?
A.
37.68 ft2
B.
113.04 ft2
C.
18.84 ft2
D.
144 ft2
PLease help!!
Answer:
B.
Step-by-step explanation:
I think B is the answer.......
WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?
Me das mas información porfavor?
How does h(t) change over the interval from t=0 to t 1
Answer:
h(-1)=-3 h(2)=12 average age of change =12-(-3)2
Step-by-step explanation:
At his after school job, Tommy grossed $4,020 for the year. Based on his
income level, the federal tax rate he'll need to pay is 10%. For his state taxes,
Tommy will need to pay 4.75%. FICA is 7.65%. What is Tommy's net pay for
the year?
A. $3,521.52
O B. $3,119.52
C. $402.00
D. $3,618.00
Answer: B. $3,119.52
Tommy will need to pay 4.75%. FICA is 7.65%. Tommy's net pay of $3,119.52.
At his after-school job, Tommy grossed $4,020 for the year. Based on his income level, the federal tax rate he'll need to pay is 10%. For his state taxes.
What is the federal tax?
The federal income tax is a tax on annual earnings for individuals, businesses, and other legal entities. All wages, salaries, cash gifts from employers, business income, tips, gambling income, bonuses, and unemployment benefits are subject to a federal income tax.
Tommy will need to pay 4.75%. FICA is 7.65%.
Tommy's net pay of $3,119.52.
To learn more about federal tax visit:
https://brainly.com/question/1775528
#SPJ2
Which function is shown in the graph below?
Answer:
y = (1/2)^x-3 + 1
Step-by-step explanation:
The correct expression of the given graph is y = [tex](1/2)^{x - 3} + 1[/tex]
What is parabola?A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix). The issue of parabola is intertwined with the topic of conic sections, and all of its principles are discussed here.
In the given figure,
The curve represent the parabola
Since the curve is passing through
(0,9) from the Y axis and touches x axis at infinity
Now we can use hit and trial method to find the exact equation
So we plot the figure one by one
Hence,
we get the correct equation,
y = [tex](1/2)^{x - 3} + 1[/tex]
To learn more about parabola visit:
https://brainly.com/question/29267743
#SPJ2
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
I need help on this question, I don’t get it so if you could help me
I will really much appreciate it.
Answer:
C
Step-by-step explanation:
x+x-1-1-1-1-1-1-1 = -x-x-x+1+1+1+1+1+1+1+1+1
2x-7 = -3x +9
5x - 7 = 9
5x = 16
x = 16/5
x= 3⅕
x= 3.2
Can someone help me please
Answer:9/40
Step-by-step explanation:
there is no use of hupotenuse as tanA = p/b
30 is 120% of what number? show ur work
Answer:
30 is 120% of 25
Step-by-step explanation:
30 = 120% of y
[tex]\frac{120}{100}[/tex] × y = 30
After multiplying both sides by 100 and dividing both sides by 120, we have
y = 30 × [tex]\frac{100}{120}[/tex]
y = 25
The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23
Answer:
423.2 is the length of the scale copy
Step-by-step explanation:
18.4 * 23 = 423.2 hope this helps!
2. Write 6.07 x 10^7 in standard form
Please help me .
Answer:
60,700,000
Step-by-step explanation:
⇒10⁷ = 10000000
∴6.07 x10000000
=60,700,000
how many tenths are equal to 3/5
Answer:
8
Step-by-step explanation:
3/5 ×2=8/10
..............
At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?
Answer:
100
Step-by-step explanation:
y = % · x
y = 40% · 250
y = 0.40 · 250
y = 100
Please answer the question above.
Answer:113
Step-by-step explanation:
3) A drawer contains 10 blue pens, and 10 red pens. Without looking, Mrs.
Stanton is going to take one pen from a drawer, use it, and then put it back in
the drawer. Then he is going to take another pen from the drawer to use. What
is the probability of Mrs. Stanton taking a red pen first and then taking a blue
pen? P(red, then blue)?
Answer:
25%
it's 50-50 for drawing a certain color pen each time.
so, the odds of drawing a red pen on the first draw is 50%
the odds of drawing a blue pen on the second draw is also 50%
so, to to *both* in order is 50% of 50%- or 25%