Jason bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 39 cards left. How many cards did Jason start with ?
HELP PLEASE
I DONT UNDERSTAND
Answer:
v1 positive v2 negative
Step-by-step explanation:
construct and interpret a 95 percent confidence interval for the difference between the proportion of the population who would survive at least 15 years
The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.
It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.
learn more about confidence interval here: brainly.com/question/29680703
#SPJ11
HELP, I NEED ONE PERSON TO HELP WITH THE NEXT THREE QUESTIONS THAT INVOLVE COMBINING FUNCTIONSTHAT MODEL A REAL WORLD SITUATION
question picture below
C=??
Answer:
if (23)n=(1111)2find the base n
Kevin made $20 last week. This week he made $27. What was his percent increase?
70% i guess
mark brainiest if correct
Answer:
35% hope this helps have a nice day please give me brainliest :)
Step-by-step explanation:
A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?
Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.
To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.
First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.
The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.
Using the Pythagorean theorem, we have:
x^2 + (width of the river)^2 = PR^2
Since the width of the river is not given, we'll represent it as w. Therefore:
x^2 + w^2 = 400^2
Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.
Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.
To find the total distance, we add up the distances:
Total distance = QP + PR + RQ
= x + 400 + x
= 2x + 400
For more suchy questions on distance visit:
https://brainly.com/question/28551043
#SPJ8
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the
length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.6 centimeters
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter
Answer:
hypotenuse = 41.2
Step-by-step explanation:
\(c^{2} = a^{2} + b^{2}\)
\(c^{2} = 32^{2} + 26^{2}\)
\(c^{2} = 1024 + 676\)
\(c^{2} = 1700\)
\(\sqrt{c^{2}} = \sqrt{1700}\)
\(c = 41.23\) ⇒ \(41.2\)
Find the slope of the line that passes through (6, 15) and (10, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
m=-5/4
Step-by-step explanation:
the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1
The expression 4(3x + 7x2 – 7x + 7) – (7x2 + 7x – 7) equals
23 +
x ² +
+
Answer:
wonk
Step-by-step explanation:
The Dahlia Medical Center has 35 labor rooms, 17 combination labor and delivery rooms, and 5 delivery rooms. All of these facilities operate around the clock. Time spent in labor rooms varies from hours to days, with an average of about a day. The average uncomplicated delivery requires about one hour in the delivery room. The average time in a combination labor-delivery room is about 24 hours. During an exceptionally busy three-day period, 109 healthy babies were born at Dahlia Medical Center. 68 babies were born in separate labor and delivery rooms and 41 were born in combined labor and delivery rooms. Which of the facilities (labor rooms, combination labor and delivery rooms, or delivery rooms) had the greatest utilization rate? The had the highest utilization rate of %. (Enter your response as a percent
Among the labor rooms, combination labor and delivery rooms, and delivery rooms, the labor rooms had the highest utilization rate of 11.67% during the busy three-day period at Dahlia Medical Center.
To determine the facility with the highest utilization rate, we need to calculate the total time spent in each facility. For the labor rooms, we know that the average time spent is about a day, so the total time spent in labor rooms would be 35 (number of rooms) multiplied by 24 (hours) for each day. This gives us 840 labor room-hours.
For the combination labor and delivery rooms, the average time spent is about 24 hours. So the total time spent in these rooms would be 17 (number of rooms) multiplied by 24 (hours), resulting in 408 room-hours.For the delivery rooms, the average time spent is about one hour. Therefore, the total time spent in these rooms would be 5 (number of rooms) multiplied by 1 (hour), giving us 5 room-hours.Now we can calculate the utilization rates by dividing the total time spent in each facility by the total time available during the three-day period. The total time available is 3 (days) multiplied by 24 (hours per day), which is 72 hours.
The utilization rate for labor rooms is 840 / 72 = 11.67%.The utilization rate for combination labor and delivery rooms is 408 / 72 = 5.67%.The utilization rate for delivery rooms is 5 / 72 = 0.07%.Therefore, the labor rooms had the highest utilization rate at 11.67%.
To learn more about average click here
brainly.com/question/31796355
#SPJ11
A nursery owner buys 7 panes of glass to fix some damage to greenhouse. The 7 panes cost $20.65. Unfortunately, breaks 3 more panes while repairing the damage. What is the cost of another panes of glass?
A mass-spring system obeys 4y" + 4y' + y = 0 and is initially stretched 1 unit away from equilibrium and given a returning initial velocity of 10 units/sec. Decide if the system is damped. Now find the solution y(t) and determine each of the following values of t (a) corresponding to the return to equilibrium and (b) corresponding to the (first/only?) turning point of the solution.
Answer:
(a) The system returns to equilibrium when y(t) = 0 at t = 2πk
(b) The turning points of the solution occur when y'(t) = 0 at t = 2πk + π/2
Step-by-step explanation:
To find the particular solution that satisfies the initial conditions of being stretched 1 unit away from equilibrium and given an initial velocity of 10 units/sec, we can solve for the constants c1 and c2.
y(0) = c1 = 1
y'(0) = -c1/2 + (c2/2)i + 5 = 10
c2 = 10i - 6
So the particular solution is y(t) = e^(-t/2) (cos(t/2) + (10i - 6)sin(t/2)).
Since the damping coefficient is proportional to the coefficient of the first derivative in the differential equation, the damping ratio is 1, which means that the system is critically damped, and therefore not damped or oscillatory.
(a) How to find the return to equilibrium of t?The system returns to equilibrium when y(t) = 0, which occurs when
cos(t/2) + (10i - 6)sin(t/2) = 0.
This equation has roots at t = 2πk, where k is an integer.
(a) How to find the turning point of the solution of y(t)?The turning points of the solution occur when y'(t) = 0.
Using the expression for y(t) above, we can find that
y'(t) = -e^(-t/2) (sin(t/2) + 5cos(t/2) - 3),
which has roots at t = 2πk + π/2, where k is an integer. The first turning point occurs when k = 0, so t = π/2.
Learn more about damping
brainly.com/question/30891056
#SPJ11
Help. . Xx z z. Z z z z z z z z z z z
Answer:
124.6
Step-by-step explanation:
13/60 = 27/x, 13x = 1620, x = 124.6
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
====================================================
Explanation:
Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.
Find the area of the right triangle.
Answer:
\( \frac{1}{2} \times 9 \times 6 = 27 \\\)
You have to count the units then put the rule
\( \frac{1}{2} \times base \: \times hight\)
What is the answer to the expression? Use Distributive Property to solve the expression.
2(35x + 15)
Answer:
70x + 30
Step-by-step explanation:
2(35x + 15)
70x + 30
If two angles are supplementary to the same angle, then:
a. They are adjacent angles
b. They are congruent angles
c. They are complementary angles
d. They are congruent supplementary angles
The option D is the correct answer.
a. They are adjacent angles: Adjacent angles are angles that share a common side and vertex, but do not overlap. It is possible for two angles to be supplementary and adjacent, but it is not always the case. Therefore, option a is not the correct answer.
b. They are congruent angles: Congruent angles have the same measure. Two angles that are supplementary to the same angle can have different measures, so option b is not the correct answer.
c. They are complementary angles: Complementary angles are two angles that add up to 90 degrees. Since two angles that are supplementary to the same angle add up to 180 degrees, they cannot also be complementary. Therefore, option c is not the correct answer.
d. They are congruent supplementary angles: Congruent supplementary angles have the same measure and add up to 180 degrees. This is the correct answer because if two angles are supplementary to the same angle, their measures must be equal in order for their sum to be 180 degrees. Therefore, option d is the correct answer.
To summarize, if two angles are supplementary to the same angle, they are congruent supplementary angles because their measures are equal and add up to 180 degrees.
To know more about angles here::
brainly.com/question/10451301
#SPJ11
Help, I don't understand
the simplified form of the expression (2³x3²)³/(2x3⁴)⁵ is 2⁴/3¹⁴
How to solve expression?
The expression (2³x3²)³/(2x3⁴)⁵ can be simplified using the laws of exponents.
First, we can simplify the numerator, which is (2³x3²)³, by using the rule (a power m)ⁿ= a Power (m*n). Therefore, we have:
(2³x3²)³ = 2³³ x 3²³ = 2⁹ x 3⁶
Next, we can simplify the denominator, which is (2x3⁴)⁵ We can use the rule (ab)ⁿ= aⁿ x bⁿ to get:
(2x3⁴)⁵= 2⁵ x (3⁴)⁵= 2⁵ x 3²⁰= 2⁵ x 3²⁰
Now we can substitute these simplified values back into the original expression:
(2³x3²)³/(2x3⁴)⁵ = (2⁹ x 3⁶)/(2⁵ x 3²⁰)
To divide two exponents with the same base, we can use the rule a^m/a^n = a^(m-n). Applying this rule, we get:
(2⁹x 3⁶)/(2⁵ x 3²⁰) = 2⁴ x 3⁻¹⁴ = 2^4/3^14
Therefore, the simplified form of the expression (2³x3²)³/(2x3⁴)⁵ is 2⁴/3¹⁴
To know more about algebra visit :-
https://brainly.com/question/22399890
#SPJ1
Calculate the relative frequency of the data to determine which association the two-way table suggests.
A. None of the associations listed are correct.
B. Those who have a brother tend not to have a sister.
C. Those who have a brother tend to have a sister.
D. Those who do not have a brother tend not to have a sister.
The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.
The table provides information about whether individuals have a brother and a sister.
Based on the options given, let's calculate the relative frequencies to see which association is suggested:
Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)
Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)
Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)
Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)
By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.
For such more questions on Association:
https://brainly.com/question/2511791
#SPJ11
Can someone help me pls
h(0)=
Answer:
(-2 1/2 , 6 1/2)?
I m thinking cuz h is between 2 numbers as if there is any other solution..
Which of the following is another way to express the equation 8 - (-d) = 43?
8 - d = 43
-d + 8 = 43
-8 + d = 43
8 + d = 43
Answer:
Step-by-step explanation:
Option D is the correct answer
8 + D = 43
Answer:
The last one
Step-by-step explanation:
8 - (-d) = 43 is the same as 8 + d = 43
Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate.
Answer:
\(2\frac{8}{15}\)
Step-by-step explanation:
The calculation of average speed in kilometres per hour is shown below:-
As we know that
\(Speed = \frac{Distance}{Time}\)
So, the average speed is
\(= 3\frac{1}{6} \div 1\frac{1}{4}\)
Now we will convert into a mixed number i.e
\(3\frac{1}{6} = \frac{19}{6} \\\\ 1\frac{1}{4} = \frac{5}{4}\\\\ = \frac{19}{6} \div\frac{5}{4}\\\\ = \frac{19}{6} \times \frac{4}{5}\)
Now the cross cancel common factor is 2
So,
\(= \frac{19}{2}\times \frac{2}{5} \\\\ = \frac{38}{15} \\\\ = 2\frac{8}{15}\)
hence, the average speed is \(2\frac{8}{15}\) in kilometers per hour
Therefore we simply applied the above formulas to determine the average speed that comes in kilometers per hour
What is the value of a when 3b−2a=17 and 4a+4b=−64?
Answer:
(-b-81)/6=a
Step-by-step explanation:
3b−2a-17 = 4a+4b+64
3b-4b-17-64=4a+2a
-b-81=6a
(-b-81)/6=a
Is -8 squared rational or irrational
Answer: Rational
Step-by-step explanation: because it is a whole positive number.
What is the solution to this system of equations?
18x - y = - 42
y= (-43x+34)/20
Answer:
X=-2
Step-by-step explanation:
equation a)
-y=42+18x
equation b)
y= (-43x+34)/20
Solution
42+18x= (-43x+34)/20
20(42+18x)=-43x+34
840+360x = -43x+34
360x+43x=34-840
403x= -806
x= -(806/403)
x= -(2)
x= -2
1 (a) (i) Yasmin and Zak share an amount of money in the ratio 21 : 19.
Yasmin receives $6 more than Zak.
Calculate the total amount of money shared by Yasmin and Zak.
(ii) In a sale, all prices are reduced by 15%.
(a) Yasmin buys a blouse with an original price of $40.
Calculate the sale price of the blouse.
Answer: 1(a) $120
(ii a) $34
Step-by-step explanation:
21-19 = 2
$6/2=3
21x 3( one ratio =$3) =63
19x3 = 57
63+57=120 - (1 A ans)
(ii a) 40x0.15 (percentage decrease)= 6
40-6 = $34
The total amount of money shared by Yasmin and Zak is $120.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
(i) The given ratio is 21:19
Let Zak be having $x, the Yasmin will be having $(x+6).
Now, 21/19 = x+6/x
21x=19x+114
2x=114
x= $57
So, x+6= 57+6 = 63$
Total 63+57=$120
(ii) Given that, Yasmin buys a blouse with an original price of $40.
In a sale, all prices are reduced by 15%.
Now, 15% of 40
= 15/100 ×40
= 0.15×40
= 6
New cost =40-6
= $34
Therefore, the sale price of the Yasmin's blouse is $34.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
Use the distributive property to write an equivalent expression.
6(6f + 10g - 6)
Answer:
36f + 60g -36
Step-by-step explanation:
Multiply each term within the parentheses by 6
for the following problem, select the correct conclusion using the given information. timber salvage is commonly done following a natural disturbance, to recover some value from the damaged forest. on public lands, salvage decision-making is complicated by the impact of this activity on a suite of ecosystem services that are valued by a wide variety of people. the u.s. forest service wants to know if there is evidence to indicate that the proportion of subjects in each group who is satisfied with their handling of salvage sales is different across the 4 main areas of this country. to test the claim that at least one of the proportions is different using the following data, the researcher collects a random sample and computes a test statistic of 13.6592. she uses a critical value of 11.345. what is the correct conclusion?
Reject the null hypothesis.
In hypothesis testing, we compare the calculated test statistic with the critical value to decide whether to reject or fail to reject the null hypothesis.
In this case, the researcher collected a random sample and computed a test statistic of 13.6592. She used a critical value of 11.345. Since the calculated test statistic is greater than the critical value, we reject the null hypothesis.
Therefore, there is sufficient evidence to indicate that the proportion of subjects in each group who is satisfied with their handling of salvage sales is different across the 4 main areas of the country.
It is important to note that rejecting the null hypothesis does not necessarily mean that there is a significant difference among all four groups. It only indicates that at least one of the proportions is different. Further analysis may be needed to determine which specific group or groups have different proportions.
To learn more about null hypothesis, click here: brainly.com/question/28042334
#SPJ11
Please help very urgent!!
Answer:
4300 \(\frac{67}{1000}\)
Step-by-step explanation:
evaluate each part
4 × 1000 = 4000
3 × 100 = 300
6 ×\(\frac{1}{100}\) = \(\frac{6}{100}\) × \(\frac{10}{10}\) = \(\frac{60}{1000}\)
7 × \(\frac{1}{1000}\) = \(\frac{7}{1000}\)
Thus
4000 + 300 + \(\frac{60}{1000}\) + \(\frac{7}{1000}\)
= 4300 \(\frac{67}{1000}\)
The difference of two numbers is 3/4. The sum of the two numbers is 9 1/4. Find the number