Answer:
The second one ig......
The area of the triangle below is 3/4
square feet. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
base = 5 ft.
4
Step-by-step explanation:
area of a triangle = 1/2 * base * height
where area = 3/4 ft²
height = 6/5 ft.
plugin values into the formula:
3 = 1 x base x 6
4 2 5
base = 3 x 2 x 5
4 x 6
base = 30 / 6
24 / 6
base = 5
4
We need to find the base of the triangle in its simplest form
The base of the triangle in it's simplest form is 5/4 ft
Area of a triangle
\( = \frac{1}{2} \times base \: \times height\)
Area of the triangle = 3/4 square feet
Height of the triangle = 6/5 ft
let
b = base of the triangle
Area of a triangle
\( = \frac{1}{2} \times base \: \times height\)
3/4 = 1/2 × b × 6/5
3/4 = 6/10 × b
divide both sides by 6/10
b = 3/4 ÷ 6/10
= 3/4 × 10/6
= 30/24
b = 5/4 ft
base of the triangle = 5/4 ft
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Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 50
Step-by-step explanation:
sin 40º = 32 / x
0.64 = 32 / x
x = 32 / 0.64
x =~ 50
at a cookie shop, four different kinds of cookies are sold: chocolate chip, macaroon, peanut butter, and white chocolate. in how many different ways can a person choose eight cookies?
The number of different ways can a person choose eight cookies will be 1,680.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
At a cookie shop, four different kinds of cookies are sold: chocolate chip, macaroon, peanut butter, and white chocolate.
Then the number of different ways can a person choose eight cookies will be given as,
⁸P₄ = 8! / (8 - 4)!
⁸P₄ = 8 x 7 x 6 x 5 x 4! / 4!
⁸P₄ = 1,680
The number of different ways can a person choose eight cookies will be 1,680.
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Two variables are correlated with r = 0.44.
Which description best describes the strength and direction of the association between the variables?
Responses
strong positive
moderate positive
moderate negative
strong negative
The description that best describes the strength and direction of the association between the variables is B. moderate positive.
What is a correlation?A correlation is defined as a causative association between two or more variable, which can be used to make predictions about a given outcome.
The degree and direction of the link between the variables are best described by a moderate positive correlation. R = 0.44 indicates that the independent variable might raise the dependent variable by 0.44. R correlation ranges from 0 to 1, with 0 indicating the weakest connection and 1 indicating the strongest correlation.
As a result, 0.44 is a moderate correlation. The correlation coefficient's minus and positive values indicate the direction of the relationship between the variables.
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Crossover trial: A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to the other. The responses of the subjects are then compared using matched-pair methods. In an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from to , with larger numbers representing higher levels of pain. The results are listed below. Can you conclude that the mean pain level is more with drug B? Let μ1 represent the mean pain level with drug A and =μd−μ1μ2. Use the =α0.10 level and the P-value method with the TI-84 Plus calculator.
Subject 1 2 3 4 5 6 7
Drug A 5 4 6 6 5 2 1
Drug B 7 4 5 6 7 5 7
1. State the appropriate null and alternate hypotheses.
2. Compute the P-value. Round the answer to at least four decimal places.
3. Determine whether to reject H0.
4. State a conclusion.
Based on the given data from the crossover trial comparing two pain relievers (drugs A and B), we can conclude that there is evidence to suggest that the mean pain level is higher with drug B.
The appropriate null and alternate hypotheses are:
Null hypothesis (H0): μ1 = μ2 (There is no difference in the mean pain level between drug A and drug B)
Alternate hypothesis (H1): μ1 < μ2 (The mean pain level is higher with drug B)
To compute the P-value using the TI-84 Plus calculator, we need to perform a paired t-test on the data. By calculating the t-statistic for the paired differences and degrees of freedom, we can obtain the P-value associated with the observed difference. Using the P-value method, the obtained P-value is compared to the significance level (α = 0.10) to make a decision.
If the computed P-value is less than the significance level (0.10), we reject the null hypothesis. This indicates that there is sufficient evidence to support the alternative hypothesis, suggesting that the mean pain level is indeed higher with drug B.
Based on the results of the analysis, we can conclude that there is evidence to suggest that the mean pain level is more with drug B compared to drug A. However, it's important to note that this conclusion is based on the given data and the assumptions made during the analysis. Further studies with larger sample sizes and rigorous experimental designs may be needed to confirm these findings.
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Please help this is due in a few Brainliest will be rewarded!!!!!
Step-by-step explanation:
the middle one has to be the same for both part ratios.
the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there
for that (as a ratio is a fraction) we also have to adapt the A element in the same way.
so, we get
4×2 : 5×2 : 9 =
= 8 : 10 : 9
and that is also shown in the graphic.
Answer:
X:Y:Z= 8:10:9
Step-by-step explanation:
Let x be the number of students in class A
Let y be the number of students in class B
Let z be the number of students in class C
x:y = 4:5
y:z= 10: 9
x:y:z = ?
Find the LCM of the y terms (5 and 10 ) which is 10
Divide 10 by the first y term (5) = 2
Divide 10 by the second y term(10) = 1
X: y = (4 x 2) :(5 x 2)= 8:10
y:z =(10 x 1) : (9:1)= 10:9
x:y:z= 8:10:9
-7 + 3x = -10x +25
Show the work
Answer:
Step-by-step explanation:
Move -7 to the left, so make 7 positive and & move it next to 25
1. 3x = -10x +25+7
combine 25 & 7
2. 3x=-10x+32
move 10 to the side & combine with 3x
3. 3x+10x=+32
4. 13x = 32
lastly divide 32 from 13
x= 32/13 OR x= 2 6/13Answer:x=32/13
Step-by-step explanation:
Rearrange terms−7+3=−10+25−7+3x=−10x+25
3−7=−10+25
add 7 to both sides of the equation
then Simplify
add 10 to both sides of the equation the
x=32/13
Use the given x and y values to write a direct variation
equation.
x = 2, y = 30
Answer:
y = 15x
Step-by-step explanation:
Given x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 2, y = 30, then
30 = 2k ( divide both sides by 2 )
15 = k
y = 15x ← equation of variation
which number is not a perfect square?
A.1
B.25
C.30
D.36
Answer:
C. 30
Step-by-step explanation:
1 times 1 is 1
5 times 5 is 25
6 times 6 is 36
Answer:
The answer is 30
Step-by-step explanation:
for all existing customer, product, quarter and year combinations, compute the average sales quantities for: the year before the current/given year the year after for example, the first row of the following sample output is showing the avg sales quantity for ('dan', 'egg', quarter 1) for 2006, 2007 and 2008.
The average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations, have been computed.
To calculate the average sales quantities for the year before and after the given year, we need the following information: customer names, product names, quarters (1-4), and years. Let's assume we have a dataset containing this information.
1. Year before: To calculate the average sales quantity for the year before the given year, we subtract 1 from the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.
2. Year after: Similarly, to calculate the average sales quantity for the year after the given year, we add 1 to the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.
By following the above steps, we have computed the average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations. This information can provide valuable insights into sales trends and help businesses make informed decisions regarding inventory management, customer targeting, and forecasting.
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Plzzzzz hurry!!!!!!!!!!
Answer:
d
Step-by-step explanation:
2x − 5y + 3x = 8
3x − y + 4z=7
x+3y + 2x = -3
Answer:=3
Step-by-step explanation: For 2x-5y=3 substitute
-8k-3-2k+7 need help asap
Answer:
-8k-3-2k+7
-10k+4
how to simplify?
(look for like terms)
Suppose 20% of ohio residents support the legalization of marijuana. If you randomly select n people and would like to use the normal approximation to answer questions, what does your sample size have to be, at minimum?.
The minimum sample size for the given event to have a normal approximation has to be 13 people.
For normal approximation,
np or n(1-p) should be greater than 10
where,
n = the sample size
p = probability for the occurrence of the event
Here, 20% of ohio residents support the legalization of marijuana
p = 20% or, 2/10
Hence,
1 - p = 1 - 2/10
= 8/10
Therefore, for normal approximation to be used
either n X 2/10 > 10 or, n X 8/10 > 10
Therefore,
n X 2 > 10 X 10 or, n X 8 > 10 X 10
hence,
n > 100/2 or, n > 100/8
n > 50 or, n > 12.5
Since we need to find the minimum no. of sample size to be required we will consider
n > 12.5
The sample size has to be a whole number hence,
n = 13
Therefore, the minimum sample size for the given event to have a normal approximation has to be 13 people.
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The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answer: C
Step-by-step explanation: Because I said soooaiahi
Compute each sum or differences
9/10 + 5/8
Answer for 9/10 + 5/8 = 61/40
Define the term equation?A statement that shows the two mathematical expressions which are equal to each other is known as an equation. It may have one or more variables, and the objective is frequently to determine the values of the variables that hold the equation true.
According to the question; add two fractions, we need to find a common denominator.
The common denominator for 10 and 8 is 40.
therefore, to convert both fractions to have a denominator of 40:
9/10 = (9/10) × (4/4) = 36/40
5/8 = (5/8) × (5/5) = 25/40
Here the fractions have the same denominator (40), we can add them:
36/40 + 25/40 = 61/40
Therefore, 9/10 + 5/8 = 61/40.
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Please help me please please thank you
9514 1404 393
Answer:
see below
Step-by-step explanation:
The idea is you're trying to find quotient values that get you close to the dividend value when they're multiplied by the divisor.
In the left panel, you are basically looking at 8/3 ≈ 2. Since that is 8 tens, the partial quotient is 2 tens, or 20. The value of that multiplied by the divisor (3) is what gets subtracted from 87 for the next effort.
That difference (27) is the new dividend at the top of the right panel. The line below it (-27) is the result of multiplying the partial quotient by 3. Hence, that partial quotient on the top line must be 9. We want the difference at the bottom of the right panel to be zero.
__
In case you didn't know already that 87/3 = 29, you could work backwards. Starting from 0 at the bottom right, you would fill in the boxes above that, then copy the top box in that panel (27) to the difference at the bottom of the left panel. Of course, the middle number there must be 60 for the difference to be 27. That is 3·20, meaning the partial quotient at left on the top line is 20.
what is th answer to this question
The total surface area of the trapezoidal prism is S = 3,296 inches²
Given data ,
Let the total surface area of the trapezoidal prism is S
Now , the measures of the sides of the prism are
Side a = 10 inches
Side b = 32 inches
Side c = 10 inches
Side d = 20 inches
Length l = 40 inches
Height h = 8 inches
Lateral area of prism L = l ( a + b + c + d )
L = 40 ( 10 + 32 + 10 + 20 )
L = 2,880 inches²
Surface area S = h ( b + d ) + L
On simplifying the equation , we get
S = 2,880 inches² + 8 ( 52 )
S = 3,296 inches²
Hence , the surface area of prism is S = 3,296 inches²
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5 is a prime factor of 45 True or false
Answer:
true
Step-by-step explanation:
The product of prime factors of 45 are
45 = 3² × 5
5 is a factor of 45 and is prime
Which test represents the best choice if you wanted to compare the average number of adjustments made by service representatives at five different locations in Texas
The one-way ANOVA test would be the best choice to compare the average number of adjustments made by service representatives at five different locations in Texas.
To compare the average number of adjustments made by service representatives at five different locations in Texas, the best choice of statistical test would be the one-way ANOVA (Analysis of Variance) test.
The one-way ANOVA test is used to compare the means of three or more independent groups to determine whether there is a statistically significant difference between them.
Five different groups (locations) that we want to compare.
The one-way ANOVA test allows us to test the null hypothesis that all the groups have the same population mean, against the alternative hypothesis that at least one group has a different population mean than the others.
If the p-value is less than the significance level (usually set at 0.05), we can reject the null hypothesis and conclude that there is a statistically significant difference between the means of the groups.
The one-way ANOVA test, we can determine whether there is a significant difference in the average number of adjustments made by service representatives across the five different locations in Texas.
If a significant difference is found, we can then conduct post-hoc tests to determine which specific locations have different means.
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Evaluate the following expression if x = -2, y = -3, and z = 5:
x-y
Answer:
1
Step-by-step explanation:
x-y
=(-2)-(-3)
=-2+3
=1
\(\frac{14}{25}\)
0.56 is the quotient of the division.
WHAT IS DIVISION ?In mathematics, division is the division of a sum into equal pieces. A group of 20 persons, for instance, may be divided into four groups of 5, five groups of 4, and so on.
A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A common, vulgar, or simple fraction \((examples: {\displaystyle {\tfrac {1}{2}}}} and {\displaystyle {\tfr}{\displaystyle {\tfrac {17}{3}}})\)consists of a non-zero denominator displayed below (or after) the line where the numerator is displayed (or before a slash, such in the case of a fraction of a second). Uncommon fractions that use numerators and denominators include difficult fractions, compound fractions, and mixed numeral fractions.
CALCULATION14/25
= 14 ÷ 25
= 0.56
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Jiri's hamster was put on a special diet. Over 5 days, his hamster ate about 0.054 kg of food. About how much food did Jiri's hamster eat in one day?
Answer:
0.0108 kg
Step-by-step explanation:
Jiri is on a special diet
Over 5 days he eats 0.054
Therefore the food consumed in a day can be calculated as follows
5 days= 0.054
1 day= 0.054/5
= 0.0108kg
how to solve 5{2p-4(p+5)}=25
Answer:
this is the solution of your questions don't mind my handwriting because I write it fast ⏩
Step-by-step explanation:
s
To solve the equation 5{2p-4(p+5)}=25, simplify the expression inside the curly brackets, combine like terms, and solve for the variable p. The solution is p = -12.5.
The given expression is 5{2p-4(p+5)}=25.
We need to find the solution of p.
Apply distributive property:
5(2p-4p-20)=25
10p-20p-100=25
-10p-100=25
Add 100 on both sides:
-10p=25+100
-10p=125
Divide both sides by -10:
p=-125/10
p=-12.5
Hence, the value of p is -12.5.
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What is the Surface area of the net below?
Our surface area is made up of two different shapes: a square and triangles.
Area of a Square = length x length
A(square) = 4 x 4 = 16
Area of a Triangle = 1/2 x base x height
A(triangle) = 1/2 x 4 x 6 = 12
The net has one square and four triangles. We need to use this information so that we find the surface area of the entire figure and not just part of it.
Area of square + 4(area of triangle) = surface area
16 + 4(12) = surface area
16 + 48 = surface area
surface area = 64 cm^2
Answer: 64 cm^2
Hope this helps!
the following random sample from a population whose values were normally distributed was collected. 10, 12, 18, 16. the 80% confidence interval for the mean isa. 10.321 to 17.679b. 11.009 to 16.991c. 9.8455 to 17.672d. 12.054 to 15.946e. 10.108 to 17.892
The closest option is (d) 12.054 to 15.946.
To find the confidence interval for the mean of a normal population, we use the formula:
CI = x ± z* (σ/√n)
where x is the sample mean, z* is the critical value from the standard normal distribution corresponding to the desired confidence level (80% in this case), σ is the population standard deviation (unknown), and n is the sample size.
Since the population standard deviation is unknown, we can estimate it using the sample standard deviation:
s = √[ Σ(xi - x)² / (n - 1) ]
where xi is the ith observation, x is the sample mean, and n is the sample size.
Plugging in the values from the sample, we get:
x = (10 + 12 + 18 + 16) / 4 = 14
s = √[ (10-14)² + (12-14)² + (18-14)² + (16-14)² / 3 ] = 2.94
To find the critical value, we look it up from a standard normal distribution table or use a calculator. For an 80% confidence interval, the critical value is approximately 1.282.
Plugging in all the values, we get:
CI = 14 ± 1.282 * (2.94 / √4) = 14 ± 1.4952
Therefore, the 80% confidence interval for the mean is:
CI = (14 - 1.4952, 14 + 1.4952) = (12.5048, 15.4952)
The closest option is (d) 12.054 to 15.946.
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Given: NM // XZ
We know that side NM is
v to side XZ. If
Prove: AXYZ ~ ANYM
we consider side NY the transversal for these parallel
lines, we create angle pairs. Using the
v. we can state that
ZYXZ is congruent to ZYNM. We know that angle
XYZ is congruent to angle
v by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
M
A transversal is a straight line that intersects two parallel lines forming four angles at each point of intersection. Thus the required answers to the given question are:
i. Side NM is parallel to side XZ.
ii. Using the corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
Two or more angles are said to be congruent if and only if they have equal measure. This property can be used to relate equal angles.
While a transversal is a straight line that intersects two parallel lines forming four angles at each point of the intersection.
The required answers to the question are as stated below:
i. Side NM is parallel to side XZ.
ii. The corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
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Answer: For the first box it is parallel, for the second box it is the corresponding angles theorem, the third is NYM, and the last one is AA.
Step-by-step explanation: 1.) Since line NM has an arrow on it's line and XZ has an arrow on it's line, that means that those two line are parallel to each other. 2.) Since both triangle contain the same transversal line (NY) and the corresponding angles theorem states that if a transversal intersects parallel lines, the corresponding angles are congruent. From this we can conclude that this means that the angle <YXZ has is congruent to the angle <YNM. Therefore we use the corresponding angles theorem. 3.) Answer 2 basically answers box number three but since we concluded that Angles of <YXZ and <YNM are both congruent <NYM would be your answer its just flipped. 4.) We use the AA theorem, because the AA theorem states that if an angle or angle(s) of one triangle is congruent to another angle/angle(s) of another triangle, then the triangles are similar (congruent). Therefore we would use the AA theorem.
Hope this helps :)
By the way this is the answer for EDGE in 2023
A shirt that cost 60 dollars is now on sale for 30% off what is the value of the discount
Answer:
So the value is 18 dollars off which is $42
Step-by-step explanation:
Well we know 50% of 60 is 30 so we want to multiply 60 x 30 = 180 and the denominator would be 100 so 180/100 now we make 180, 18! which makes 18 dollars off so 60 - 18 = 42
If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?
$1,224.75
$1,569.75
$2,104.50
$2,449.50
The cost of wax to cover the floor is $1569.75.
How to find the cost that will cover the floor?The area of the floor is calculated and multiplied by the unit cost ($1.38) to get the total cost
The floor is segmented and the area is calculated and added together
1. Area of rectangle joining the right triangle = 15 * (30 - 20) = 150 square feet
2. Area of right triangle = 1/2 * 15 * (35 - 10) = 187.5 square feet
3. Area of the large rectangle = 40 * 20 = 800 square feet
total area = 800 + 187.5 + 150 = 1137.5
cost of wax to cover the floor = total area * unit cost
cost of wax to cover the floor = 1137.5 * 1.38 = $1569.75
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Complete Question
A maintenance worker needs to wax a restaurant floor shaped like the image shown. A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet. If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?
$1,224.75
$1,569.75
$2,104.50
$2,449.50
URGENT Please helpppp,
I will mark brainliest
Geometry A
Answer:
Step-by-step explanation:
<DCE≅<BCA
BC≅CE
AC≅CD
BA≅DE