Answer:
9/w = 25/100w = 36Step-by-step explanation:
You want the proportion and its solution that represents the question, "25% of what number is 9?"
ProportionThe problem statement is telling us the ratio of 9 to w is 25%:
[tex]\dfrac{9}{w}=\dfrac{25}{100}\\\\9\times100=25\times w\qquad\text{multiply by $100w$}\\\\w=\dfrac{9\times100}{25}=36\qquad\text{divide by 25}[/tex]
The number is 36.
__
Additional comment
We like to write these problems using the exact relation given:
"25% of w is 9"
0.25w = 9 . . . . . . . . . . . using math symbols
w = 9/0.25 = 36 . . . . . . solve this one-step equation
The "cross multiplication" step used above inevitably results in multiplying the variable by a number, then dividing by that number. That seems unnecessary.
I need a paragraph describing how to get the answer (using the 5 skeleton sentences)
The graph of the triangle after the dilation is given by the image presented at the end of the answer.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The vertices of the original triangle after given as follows:
F(1,1), G(3,1) and H(3,2).
The scale factor is given as follows:
k = 3.
Hence the vertices of the dilated figure are given as follows:
F'(3,3), G'(9,3) and H'(9,6).
When a figure is reflected over the x-axis, the sign of the y-coordinate is changed, hence the vertices of the reflected figure are given as follows:
F''(3,-3), G''(9,-3) and H''(9,-6).
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what is 59 multiple by 95
Answer:
5605
Step-by-step explanation:
59*95
we can think 95 as 90+5
so we get :
59*(90+5)
5310+295
5605
Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 1 foot, 3 feet, 5 feet, and 6 feet. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.
Answer:
3 feet5 feet6 feetStep-by-step explanation:
Given lengths (in feet) of 1, 3, 5, 6, you want to know which three of them will form a triangle.
Triangle inequalityThe differences between adjacent lengths are 3-1 = 2, 5-3 = 2, 6-5 = 1. The shortest side must be longer than the difference in lengths between the other two sides. Hence the 1 foot plank cannot be used. (It is not longer than either 1 or 2 feet.)
The remaining three planks satisfy the triangle inequality:
3 + 5 > 6
3 + 6 > 5
5 + 6 > 3
Amanda should use the planks that are 3 feet, 5 feet, and 6 feet long.
a polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. the responses are shown in the table.factorpersonal friendstay in touchmutual friendsbusiness networkingothermen6002101054540women650224651546what is the contribution to the chi-square test statistic for men who selected business networking as the most important factor?responses0.50.5557.57.5303045
The donation to the chi-square test statistic for men who named business networking as the most important factor is 4.29.
To calculate the donation to the chi-square test statistic for men who named business networking as the most important factor, we need to calculate the anticipated frequency and the donation for that cell.
The anticipated frequency for a cell is calculated as
anticipated frequency) = ( row aggregate) *( column aggregate)/( grand aggregate)
The row aggregate for the" business networking" row is 105, the column aggregate for the men is 1000, and the grand aggregate is 2000. thus, the anticipated frequency for the cell corresponding to men who named business networking is
anticipated frequency) = ( 105) *( 1000)/( 2000) = 52.5
To calculate the donation, we use the formula
donation) = (( observed frequency- anticipated frequency) 2)( anticipated frequency)
For men who named business networking, the observed frequency is 45. Plugging in the values, we get
donations = (( 45-52.5) 2)(52.5) = 4.29
thus, the donation to the chi-square test statistic for men who named business networking as the most important factor is 4.29
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Jiro has a right rectangular prism. Jiro is filling the prism with unit cubes. Each unit cube has a side length of
inch.
2 in
3/4
1¹ in
In the response box, enter the number of unit cubes Jiro will need to completely fill the prism.
Answer:
To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
\text{Volume of rectangular prism}=Volume of rectangular prism=start text, V, o, l, u, m, e, space, o, f, space, r, e, c, t, a, n, g, u, l, a, r, space, p, r, i, s, m, end text, equals \text{length}\times\text{width}\times\text{height}length×width×heightstart text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text
Want to learn more about finding volume of rectangular prisms?
Volume=length×width×heightstart text, V, o, l, u, m, e, end text, equals, start text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text
\phantom{\text{Volume}}=3\times2\times3Volume=3×2×3empty space, equals, 3, times, 2, times, 3
\phantom{\text{Volume}}=18\text{ cubic units}Volume=18 cubic units
If the height of a rectangular prism is not given, divide the prism's volume by it's width and also divide it by it's length in order to find the height of the prism. For example:
Volume=30
Length=5
Width=3
Height=?
30/5=6, 6/3=2 so 2 equals your height.
Hope that helps.
ASAP PLEASE HELP WILL GIVE BRAINLEST!!
Recall the equation for a circle with center (h, k) and radius . At what point in the first quadrant does the line with equation u = 0.5x + 4 intersect the circle with radius 3 and center (0, 4)
Answer:
(x-h)2 +(y-k)2=r2
Step-by-step explanation:
If the circle has a centre at (0, 5) and radius 3 the above equation becomes:
x2 +(y-5)2=32
We want to know the point where this circle intersects the line y=x+5 in the first quadrant. In order to do that, we substitute y=x+5 into the equation for the circle or:
x2 +(x+5-5)2=32
x2 +x2 =9
2x2 =9
x = 3 sqrt(2)/2 =2.1213
Substituting to this value into the second equation for y, we find:
y = 2.1213 + 5 = 7.1213
Consequently, the line intersects the circle at (2.1213, 7.1213)
Hope this helps :)
In a bag there are blue discs, green discs and white discs.
There are eight times as many blue discs as green discs.
number of blue discs : number of white discs = 6:5
One disc is selected at random.
Work out the probability that the disc is either blue or white.
The probability that the disc is either blue or white is 11/59
Working out the probability that the disc is either blue or white.Given that
number of blue discs : number of white discs = 6:5
number of blue discs : number of green discs = 1:8
So, we have
Blue : White = 6 : 5
Blue : Green = 1 : 8
This can be expressed as
Blue : Green = 6 : 48
So, we have
Blue : White : Green = 6 : 5 : 48
So, we have
Blue or White : Green = 11 : 48
So, the probability is
P = 11/(48 + 11)
Evaluate
P = 11/59
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Two congruent squares and a parallelogram were used to form the figure shown. 3 m C I 2.8 m 6 m What is the area of the figure in square meters? A 25.8 m² 2 B 40.8 m² 34.8 m² D 28.8 m² 3 m
Answer: The table that could be the data the student collected is table D.
Step-by-step explanation: What is an electromagnet?
An electromagnet is described as a type of magnet in which the magnetic field is produced by an electric current and usually consist of wire wound into a coil.
If student builds an electromagnet using a variable power source and 40 turns of wire. We have it that the student changes the voltage and counts the number of paper clips that are picked up. The table described below could perfectly described the scenario.
This is Table D
Voltage (V)
3
6
9
12
Number of paper clips
9
18
27
36
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Amari is playing a game with a standard deck of cards. Amari selects one card and then replaces it in the deck.
Part A: What is the theoretical probability that Amari draws a red card? (5 points)
Part B: What is the P(first draw is a club ∩ second draw is a club)? (5 points)
Part C: What is the probability of drawing a spade given that the card drawn is black? (5 points)
Part D: Consider the events "The card drawn is a spade" and "The card drawn is black." Are these events independent? Justify your answer mathematically. (5 points)
A) The theoretical probability of drawing a red card is 1/2.
B) The theoretical probability of the intersection of the events "The first draw is a club" and "The second draw is a club" is 13/208
C) The theoretical probability of drawing a spade given that the card drawn is black is 1/2
D) The events "The card drawn is a spade" and "The card drawn is black" are not independent.
A) The theoretical probability of drawing a red card is:
P(Red card) = Number of red cards / Total number of cards
= 26/52
= 1/2
B) The probability of drawing a club on the first draw and a club on the second draw is the product of the probabilities of each event:
P(First draw is a club ∩ Second draw is a club) = P(First draw is a club) * P(Second draw is a club)
= (13/52) * (13/52)
= 169/2704
= 13/208
C) The probability of drawing a spade given that the card drawn is black is:
P(Spade | Black card) = P(Spade ∩ Black card) / P(Black card)
= 26/52
= 1/2
D) To determine if the events "The card drawn is a spade" and "The card drawn is black" are independent, we need to check if the probability of drawing a spade is affected by the knowledge that the card drawn is black. From Part C, we know that:
P(Spade | Black card) = 1/2
The probability of drawing a spade without any additional information is:
13/52 = 1/4.
Since P(Spade | Black card) ≠ P(Spade), the events are dependent, and not independent.
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a study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. the results are shown in the table. based on this information, what is the probability that a patient shows improvement if it is known that the patient was given the drug? p(improvement | drug)
The probability that a patient shows improvement if it is known that the patient was given the drug is 0.7 or 70%.
Based on the information given in the table, the probability that a patient shows improvement if it is known that the patient was given the drug can be calculated as:
p(improvement | drug) = number of patients who improved and were given the drug / total number of patients who were given the drug
= 56 / (56 + 24)
= 0.7
Therefore, the probability that a patient shows improvement if it is known that the patient was given the drug is 0.7 or 70%. This suggests that the drug has a relatively high chance of leading to improvement in symptoms for patients with the particular condition being studied.
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Complete Question:
a study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. the results are shown in the table. based on this information, what is the probability that a patient shows improvement if it is known that the patient was given the drug? p(improvement | drug)
How do you find the P when looking for the total surface area?
Answer:
0
Step-by-step explanation:
a sample of 900 computer chips revealed that 34% of the chips fail in the first 1000 hours of their use. the company's promotional literature claimed that less than 38% fail in the first 1000 hours of their use. is there sufficient evidence at the 0.05 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
There is sufficient evidence at the 0.05 level to support the company's claim that less than 38% of computer chips fail in the first 1000 hours of their use, based on a one-tailed z-test for proportions with a test statistic of -3.17.
Null Hypothesis (H0): The proportion of computer chips failing in the first 1000 hours of use is greater than or equal to 0.38.
Alternative Hypothesis (Ha): The proportion of computer chips failing in the first 1000 hours of use is less than 0.38.
The level of significance is 0.05.
To test the hypothesis, we can use a one-tailed z-test for proportions.
The test statistic can be calculated as
z = (p - P) / sqrt((P×(1-P))/n)
where,
p = sample proportion = 0.34
P = hypothesized proportion = 0.38
n = sample size = 900
Substituting the values, we get
z = (0.34 - 0.38) / sqrt((0.38×(1-0.38))/900) = -3.17
At a significance level of 0.05, the critical value of z is -1.645 (for a one-tailed test).
Since the calculated test statistic (-3.17) is less than the critical value (-1.645), we can reject the null hypothesis.
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Sadie and Penelope are on their school's swim team. They each swam 5 laps and recorded their lap times in seconds.
Who has the greater mean, and by how much? Show or explain how you know.
Answer:
Step-by-step explanation:
First of all , we know that mean simply means average . The formula for calculating average / mean is :
Sum of all entities ÷ by number of entities.
So , lets start with Sadie.
41+ 44 +46+ 46 +48=225
225 ÷5 =53
Therefore the mean of Sadie's mean was 53.
Now for Penelope.
We will use the same formula.
44+44+47+48+50=233
233÷5=46.6
Therefore Penelope's mean was 46.6.
We can see that Sophie had the highest mean .To find the difference just subtract the means.
The third term of a geometric sequence is 396. The sixth term of the sequence is 85,536. Calculate the common ratio. Round the ratio to the nearest tenth if necessary. Be sure to show all your work. (4 points)
Once you've found the common ratio, find the first term of the sequence. Again, show your work.
If a coin is randomly chosen from a jar that contains exactly `4` pennies, 3 nickels, and 8 dimes, what is the probability that the coin will NOT be a penny or a nickel?
Answer:
53.33%
Step-by-step explanation:
There are a total of 4 + 3 + 8 = 15 coins in the jar. If we want to find the probability that the coin will not be a penny or a nickel, we need to find the number of coins that are not pennies or nickels, and divide that by the total number of coins in the jar.
The number of coins that are not pennies or nickels is 8 dimes. Therefore, the probability that the coin will not be a penny or a nickel is:
8 / 15
This simplifies to:
0.5333 or 53.33%
Therefore, the probability that the coin will NOT be a penny or a nickel is approximately 0.5333 or 53.33%.
Which angles are adjacent? Select all that apply.
A. ∠AFB and ∠BFC
B. ∠AFB and ∠CFD
C. ∠BFC and ∠CFD
D. ∠BFC and ∠DFE
E. ∠CFD and ∠DFE
Answer:
It looks like the angle between C and D are the same as between D and E, so the correct answer would be:
E. ∠CFD and ∠DFE
Brainliest? ;)
It helps a lot!
Answer:
A, C, E.
Step-by-step explanation:
Hope it helps. :)
From each corner of a square piece of sheet metal, remove a
square of side 6 centimeters. Turn up the edges to form an
open box. If the box is to hold 486 cubic centimeters,
determine the dimensions of the piece of sheet metal
The original piece of sheet metal was a square with side length 21 cm.
Let's denote the side length of the square piece of sheet metal as x. When we remove a square of side 6 cm from each corner, the length of each side of the remaining square becomes x-2(6) = x-12. Thus, the base of the box has dimensions (x-12) by (x-12) and the height of the box is 6 cm.
The volume of the box is given by
Volume = Base area x height
Volume = (x-12)² × 6
We are given that the volume is 486 cubic centimeters, so we can set up the equation
486 = (x-12)² × 6
Simplifying and solving for x, we get
81 = (x-12)²
9 = x-12
x = 21 cm
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The area of a poster is 24 square feet. The perimeter is 20 feet. What are the dimensions of the poster?
Step-by-step explanation:
Perimeter = l + l + w + w = 20
2 l + 2w = 20
l + w = 10 ======> l = 10-w
Area = l * w = 24 sub in the definition of l (above)
24 = (10-w) * w
-w^2 + 10w - 24 = 0 Use quadratic formula (or factoring)
to find l and w = 4 and 6 ft
What is the mode of the data represented by the stem and
leaf plot above?
Hint: Use the key to determine the individual values
MODE = value appearing the most times
A 309
B 57
C 108.75
From the given stem and leaf plot, the mode of the given data is 57.
A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values.
We know that, mode is value appearing the most times.
From the given graph, we can 57 is repeated thrice.
Therefore, option B is the correct answer.
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Solve this equation pls
[tex]\cfrac{5}{x+2}+\cfrac{1}{2}=3\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2(x+2)}}{2(x+2)\left( \cfrac{5}{x+2}+\cfrac{1}{2} \right)=2(x+2)(3)} \\\\\\ 10+(x+2)=6x+12\implies x+12=6x+12 \\\\\\ x=6x\implies 0=5x\implies \cfrac{0}{5}=x\implies \boxed{0=x}[/tex]
A counter in Darren's kitchen is 1 meter wide and 2 meters long. Darren wants to replace the counter with a granite countertop, which would cost $240.00 per square meter. How much would the granite countertop cost?
Answer:
$480.00
Step-by-step explanation:
The area of the counter is:
1 meter * 2 meters = 2 square meters
To calculate the cost of the granite countertop, we need to multiply the area of the counter by the cost per square meter:
2 square meters * $240.00/square meter = $480.00
Therefore, the granite countertop would cost $480.00.
For what value of x must ABCD be a parallelogram?
X=
B
A
(17x+3)°
(19x-5)°
D
Answer:
Step-by-step explanation:
In a parallelogram, opposite angles are equal. So we can set the two opposite angles equal to each other and solve for x:
17x + 3 = 19x - 5
Simplifying the equation, we get:
-2x = -8
Dividing both sides by -2, we get:
x = 4
Therefore, for ABCD to be a parallelogram, x must be equal to 4.
Write the equation of the circle in general form.
Answer:
[tex] {(x - 1)}^{2} + {y}^{2} = {5}^{2} [/tex]
[tex] {(x - 1)}^{2} + {y}^{2} = 25[/tex]
The equation y=16x represents the relationship between x the number of pounds and y the number of ounces, which order pairs represent the number of pounds and the number of ounces in the given equation? choose all that apply.
Any ordered pair of the form (x, 16x) would represent a weight in pounds and its equivalent weight in ounces according to the given equation
The given equation y = 16x represents the relationship between x, the number of pounds, and y, the number of ounces. In other words, for a given weight in pounds, we can calculate the corresponding weight in ounces using the equation y = 16x.
To find the ordered pairs that represent the number of pounds and the number of ounces, we can plug in different values of x and solve for y.
For example, if x = 1, then y = 16(1) = 16. This means that 1 pound is equivalent to 16 ounces. Therefore, one ordered pair that represents the number of pounds and the number of ounces is (1, 16).
Similarly, if x = 2, then y = 16(2) = 32. This means that 2 pounds is equivalent to 32 ounces. Therefore, another ordered pair that represents the number of pounds and the number of ounces is (2, 32).
We can continue this process for different values of x to get more ordered pairs that represent the relationship between the number of pounds and the number of ounces.
In general, any ordered pair of the form (x, 16x) would represent a weight in pounds and its equivalent weight in ounces according to the given equation.
Therefore, all ordered pairs of this form would be valid solutions. For example, (3, 48), (4, 64), and (5, 80) are all ordered pairs that represent the relationship between pounds and ounces in the given equation.
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Complete question is:
The equation y=16x represents the relationship between x the number of pounds and y the number of ounces, which order pairs expression represent the number of pounds and the number of ounces in the given equation?
identify the most appropriate test to use for the following situation: quart cartons of milk should contain at least 32 ounces. a sample of 22 cartons was taken and amount of milk in ounces was recorded. we would like to determine if there is sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces? a) two sample t test b) one sample t test c) matched pairs d) two sample p test
If there is sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces, then we have to use one sample t test (option b).
In this case, we have a sample of 22 cartons and we want to determine if the mean amount of milk in the cartons is less than 32 ounces. Since we are only dealing with one sample and comparing its mean to a known population mean of 32 ounces, we can use a one sample t test. This test will help us determine if the sample mean is significantly different from 32 ounces.
To perform a one sample t test, we need to calculate the sample mean and sample standard deviation of the amount of milk in the 22 quart cartons. We can then use these values, along with the known population mean of 32 ounces, to calculate the t statistic. This t statistic will tell us how many standard errors the sample mean is away from the hypothesized population mean of 32 ounces.
We can then calculate the p-value, which is the probability of getting a t statistic as extreme as the one we calculated, assuming the null hypothesis is true.
If the p-value is less than our chosen significance level (usually 0.05), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the mean amount of milk in the cartons is less than 32 ounces.
Hence the correct option s (b).
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please help me rnnnnnnnnnnn
Answer:
50%
Step-by-step explanation:
Oh man snow traveling at the speed of 40 feet in one hour what was its speed in centimeters per minute
The speed of snow traveling at 40 feet per hour is equivalent to 20.41 centimeters per minute.
To convert the speed of snow from feet per hour to centimeters per minute, we need to use the appropriate conversion factors.
We convert 40 feet per hour to feet per minute by dividing it by 60, since there are 60 minutes in an hour. 40 feet per hour / 60 = 0.67 feet per minute
We convert feet to centimeters by multiplying by the conversion factor of 30.48, since there are 30.48 centimeters in a foot. 0.67 feet per minute * 30.48 = 20.41 centimeters per minute.
It's important to pay attention to units when making conversions, as it can significantly affect the accuracy of calculations. In this case, we made sure to use the appropriate conversion factors to convert between feet per hour and centimeters per minute.
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a study of long-distance phone calls made from general electric corporate headquarters in fairfield, connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. the mean length of time per call was 4.0 minutes and the standard deviation was 0.40 minutes. a. what is the probability that calls last between 4.0 and 4.6 minutes? (round your z-value to 2 decimal places and final answer to 4 decimal places.)
The probability that calls last between 4.0 and 4.6 minutes is around 0.4332.
To unravel this issue, we got to standardize the values and utilize the standard typical dispersion table or calculator.
To begin with, we discover the z-scores for 4.0 and 4.6 minutes:
z1 = (4.0 - 4.0) / 0.40 =0
z2 = (4.6 - 4.0) / 0.40 = 1.5
Employing a standard ordinary conveyance table or calculator, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:
P(0 ≤ Z ≤ 1.5) = 0.4332
Subsequently, the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.
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If your p-value is .11, and the significance level is .05, what do you conclude?
If your p-value is 0.11 and the significance level is 0.05, you would conclude that there is insufficient evidence to reject the null hypothesis. In other words, you cannot establish a statistically significant relationship between the variables you are studying.
To explain this further, the p-value (0.11) represents the probability of observing the data, assuming that the null hypothesis is true. A smaller p-value indicates stronger evidence against the null hypothesis. The significance level (0.05) serves as a threshold to determine whether the p-value is small enough to reject the null hypothesis.
If the p-value is less than or equal to the significance level, you would reject the null hypothesis and conclude that there is a statistically significant relationship between the variables. However, in this case, the p-value (0.11) is greater than the significance level (0.05), which means that the probability of observing the data is not low enough to reject the null hypothesis.
Therefore, you cannot establish a statistically significant relationship between the variables, and the observed results could be due to chance or random variation.
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PLEASE HELP ME ANSWER THESE ASAP <3
Answer:
Step-by-step explanation:
Hi!!! Remember (SOHCAHTOA)
Sin= opposite/hypotenuse
Cosine= Adjacent/ hypotenuse
Tan= opposite/adjacent
SO, use the letter of the angle- and match this phrase.
answer 11= 5/12
answer 12= 7/25
answer 13= 4/5
answer 14= 5/12
