When you multiply a mixed number by ___________ ,the product is equal to the mixed number. What do you put in the blank?
Answers
Answer:
1
Step-by-step explanation:
because 1/2 time 1 = 1/2
Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. When you multiply a mixed number by another mixed number the product is equal to the another mixed number. For exact same mixed number, when you multiply a mixed number by one number the product is equal to the mixed number.
What is mixed number?Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. As it is the combination of two types of number thus it is known as mixed number.
Mixed number are used to count the whole and part of a thing together.
For example five and a half of a thing can be written as,
\(5+\dfrac{1}{2} =5\dfrac{1}{2}\)
Now when a mixed number is multiplied by the another mixed number the product of both is a another mixed number.
For example let multiply 2 and a half with 3 and a half. The result is,
\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{7}{2} \times \dfrac{9}{2}\)
\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{63}{4}\)
\(2\dfrac{3}{2} \times3\dfrac{3}{2} =15\dfrac{3}{4}\)
Thus when you multiply a mixed number by another mixed number the product is equal to the another mixed number.
If the product should be equal to the given mixed number thus it need to be multiplied by the one. Thus when you multiply a mixed number by one number the product is equal to the mixed number.
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Please help!
Steven borrows $60,000 for school. The intrest rate is 6.5%. He wants to pay off the loan in 12 years. What would be the simple intrest rate?
Answers
Answer:
i think it is $106,800.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year.
Solving our equation:
A = 60000(1 + (0.065 × 12)) = 106800
A = $106,800.00
The total amount accrued, principal plus interest, from simple interest on a principal of $60,000.00 at a rate of 6.5% per year for 12 years is $106,800.00.
The simple interest rate for this loan is 78%.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
We have,
If Steven borrows $60,000 at an interest rate of 6.5%, the total amount of interest he will pay over 12 years can be calculated as:
I = Prt
where I is the interest, P is the principal amount borrowed ($60,000), r is the interest rate as a decimal (0.065), and t is the time period in years (12). Substituting the given values, we get:
I = 60000 x 0.065 x 12
I = $46,800
The simple interest rate is the ratio of the total interest paid to the principal borrowed, expressed as a percentage:
simple interest rate = (total interest/principal borrowed) x 100
Substituting the given values, we get:
simple interest rate = (46800 / 60000) * 100
simple interest rate = 78%
Therefore,
The simple interest rate for this loan is 78%.
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Find the slope of the line containing the pair of points.
(0. – 1) and (-8. - 4)
Answers
-8-0=-8
Slope is -3/8.
adding decimals
5.66 + 5.99 =
Answers
Answer:
the correct answer to this is 11.65
Step-by-step explanation:
Answer:
11.65
Hope This Helps!
Which is equivalent to
64 ^1/4?
O 24/4
O4
O 16
O 16/4
Answers
Answer: \(\sqrt[4]{64}\)
Step-by-step explanation:
\(64^{\frac{1}{4} }= \sqrt[4]{64}\)
will you have enough room for a dance floor that is 8 m x 8 m please explain why or why not
asap
Answers
A party planner organized a dinner party. The party planner recorded the height of the candlesticks over time and graphed the relationship.
graph with the x axis labeled time in hours and the y axis labeled height of candlestick in inches and a line going from the point 0 comma 8 through the point 3 comma 6
Find and interpret the slope and y-intercept in this real-world situation.
A. The slope is 8, and the y-intercept is negative two thirds. The candle starts at a height of two thirds of an inch and decreases 8 inches every hour.
B. The slope is 8, and the y-intercept is negative three halves. The candle starts at a height of three halves of an inch and decreases 8 inches every hour.
C. The slope is negative two thirds, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases two thirds of an inch every hour.
D. The slope is negative three halves, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases three halves of an inch every hour.
Answers
C. The slope is negative two-thirds, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases two-thirds of an inch every hour.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
The relationship of the candlestick between height and time is represented by a straight line passing through the points (0, 8) and (3, 6).
Slope(m) = (6 - 8)/(3 - 0).
Slope(m) = - 2/3.
Taking any of the points we have,
6 = - (2/3)×3 + b.
6 = - 2 + b.
b = 8.
y = - (2/3)x + 8.
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Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?
Answers
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
Can someone help only answer if you know and scam links are getting reported
Answers
Answer:
12 cubic centimeter blocks are in the bottom layer
suppose we want to test whether there is a difference between the room rates of luxury hotels in new york versus los angeles. we collect data from 20 random luxury hotels in new york and 30 random luxury hotels in l.a. what are the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval? type your answer here
Answers
The degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval in the given case would be 48.
When a pooled-variance two-sample t-test or confidence interval is to be conducted on two groups, the degrees of freedom is calculated using the following formula: df = n1 + n2 - 2, where n1 and n2 are the sample sizes of the two groups being compared.
In the given scenario, data is collected from 20 random luxury hotels in New York and 30 random luxury hotels in Los Angeles. Therefore, the degrees of freedom for a pooled-variance two-sample t-test or confidence interval would be:df = 20 + 30 - 2df = 48. Hence, the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval are 48.
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The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60. A random sample of 140 college graduates with Bachelor degrees found that 75 were women. The National Center for Education Statistics would like to set α = 0.10. The conclusion for this hypothesis test would be that because the absolute value of the test statistic is __________________________________.
Answers
This question involves the hypothesis test for the proportion. First we build the hypothesis, then find the test statistic, and according to the test statistic, we get the following answer:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
-------------------------------------------------------------------
The National Center for Education Statistics would like to test the hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60
This means that at the null hypothesis, it is tested if the proportion is of 0.6, that is:
\(H_0: p = 0.6\)
At the alternative hypothesis, we test if the proportion is different of 0.6, that is:
\(H_1: p \neq 0.6\)
-------------------------------------------------------------------
Decision rule:
Two-tailed test(test if the proportion is different of a value), so we exclude the top and bottom 0.1/2 = 0.05, meaning that looking at the z-table, we find a critical value of \(|Z_c| = 1.645\), and the decision rule is:
Accept the null hypothesis: \(|Z| < 1.645\)
Reject the null hypothesis: \(|Z| > 1.645\)
-------------------------------------------------------------------
Test statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that \(\mu = 0.6, \sigma = 0.4\)
75 out of a sample of 140:
This means that:
\(n = 140, \pi = \frac{75}{140} = 0.5357\)
-------------------------------------------------------------------
Value of the test statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{0.5357 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{140}}}\)
\(z = -1.55\)
So |z| = 1.55
-------------------------------------------------------------------
Decision:
The conclusion for this hypothesis test would be that because the absolute value of the test statistic is less than the critical value of 1.645, we do not reject the null hypothesis that the proportion of Bachelor's degrees that were earned by women equals 0.60.
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Segment AB intersects the circle with center C . What statement correctly describes the relationship shown in the image?
Answers
Answer: Since the radius of the circle is perpendicular to AB, AB is tangent to the circle.
Step-by-step explanation:
Answer:
perpendicular and tangent
Step-by-step explanation:
How many solutions will there be to the following equation? 16 x squared = 100 a. more than 2 solutions b. no solution c. 1 solution d. 2 solutions Please select the best answer from the choices provided A B C D
Answers
Answer:
The answer is B. No solution
Step-by-step explanation:
16x^2 is not equal to 100, so the equation is false, and there is no solution for x.
Jane belongs to a book club. She pays a flat fee of $8 to ship any number of books. She is able to purchase
the books for $10 each. Which of the following choices shows the expression that represents
1. Jane's situation and
2. how much it would cost her if she bought 8 books?
a. 10+8b, the cost would be $88.
b. 8+10b, the cost would be $88.
C. 8+10b, the cost would be $74.
d. 10+8b, the cost would be $74.
Answers
Answer:
b.8+10b,the cost would be $88
Step-by-step explanation:
if she buys 8 books worth $10 each
so 8×10= 80
plus $8 for shipment
so $80 +$8 =$88
Which value of x is the solution of the equation 2(x – 4) + 7 = 3? (a) 1 (b) 6 (c) 2 (d) 0
Answers
Answer:
(c) 2
Step-by-step explanation:
2(x - 4) + 7 = 3
2x + 2(-4) + 7 = 3
2x - 8 + 7 = 3
2x - 1 = 3
2x - 1 + 1 = 3 + 1
2x = 4
2x/2 = 4/2
x = 2
Hope this helps!!!
The correct value of x is 2 in the given equation.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is an equation, 2(x – 4) + 7 = 3
Solving for x,
2(x – 4) + 7 = 3
2x-8+7 = 3
2x-1 = 3
2x = 4
x = 2
Hence, the value of x is 2.
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LOTS OF POINTS TO WHOEVER CAN DO THIS + BRAINLIEST :D
Answers
10. 1849900000
Answer:
9. 400,000
10. 1,848,800,000
11. .00083
12. .000003582
13. 0.0297
14. 6400
15. 84560000
16. .0000906
Hope this helps!!!
PLEASE HELP ASAP
Right triangle ABC is located at A (−1, −2), B (−1, 1), and C (3, 1) on a coordinate plane. What is the equation of a circle A with radius segment AC?
A (x + 1)2 + (y + 2)2 = 9
B (x + 1)2 + (y + 2)2 = 25
C (x − 3)2 + (y − 1)2 = 16
D (x − 3)2 + (y − 1)2 = 25
Answers
Answer:
b
Step-by-step explanation:
Answer:
B) (x + 1)2 + (y + 2)2 = 25
Step-by-step explanation:
giselle starts withtbe two parralel line segments below. she correctly reflects the segments across the x axis and then translsates the following rule. (x,y) -> (x-2,y+5) Line segment AB has endpoints (2,4) and (-2,-1) Line segment CD has end points (3,1) and (-1,-4)
Answers
The true statements after the sequence of transformations are
(c) When reflected over the x-axis, the coordinates of point A become (2, -4).(e) The final image will result in parallel segments slanted in the opposite direction and the same distance apart as the pre-image segmentsHow to determine the true statementsFrom the question, we have the following parameters that can be used in our computation:
AB = (2,4) and (-2,-1)
CD = (3,1) and (-1,-4)
The transformation rule is given as
Reflection across the x-axisFollowed by (x, y) -> (x - 2, y + 5)This means that
(x, y) = (x - 2, -y - 5)
So, we have
A'B' = (0,-9) and (-4,-4)
C'D' = (1,-6) and (-3,-1)
The above means that
(b), (d), (f), (g) are false and (e) is true
When D and A are reflected, we have
D = (-1, 4) and A = (2, -4)
The above means that
(a) is false and (c) is true
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PLEASE HELP PLEASE!!!!
Answers
y
∝
1
√
x
If
y
=
100
when
x
=
36
find,
x
when
y
=
200
Answers
Answer:
x = 9
Step-by-step explanation:
See the attachment for step-by-step
Hiiioo❤️ Can someone please help me with this❤️:D
Answers
Answer:
k= 2.5
Step-by-step explanation:
4k+5=6k+10
-4k -4k
5=2k+10
-10 -10
-5=2k
/2 /2
-2.5= k
helpppp!! please I'm desperate!
Answers
Answer:
In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole.
Step-by-step explanation:
Which symbol creates a true sentence when x = 6?
12 ÷ x + 2x ____ 12 ÷ (x + 2x)
Responses
=
>
Answers
A symbol that creates a true sentence for x = 6 is '>' i.e.,
12 ÷ x + 2x > 1 2 ÷ (x + 2x)
In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)
We need to select a correct symbol that would create a true sentence when x = 6.
Consider an expression 12 ÷ x + 2x for x = 6.
= 12 ÷ 6 + 2(6)
= 2 + 12
= 14 ...................(1)
Consider an expression 12 ÷ (x + 2x) for x = 6
= 12 ÷ (6 + 2(6))
= 12 ÷ (6 + 12)
= 12 ÷ 18
= 0.67 ...................(2)
From (1) and (2),
14 > 0.67
Therefore, a symbol that creates a true sentence for x = 6 is '>'
i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)
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A simple random sample of size 30 is drawn from a population of size 200. if the population mean is 57 and the population standard deviation is 6, what is the standard error of the mean?
Answers
Answer:
1.0954.
Step-by-step explanation:
Standard error = std dev / √n
= 6 / √30
= 1.0954.
webster chemical company produces mastics and caulking for the construction industry. the product is blended in large mixers and then pumped into tubes and capped. webster is concerned whether the filling process for tubes of caulking is in statistical control. the process should be centered on 8 ounces per tube. several samples of eight tubes are taken and each tube is weighed in ounces. assuming that taking only 6 samples is sufficient, is the process in statistical control?
Answers
The control limits for the mean chart are 7.76821 (LCL) and 8.34595 (UCL), while the control limits for the range chart are 0 (LCL) and 0.86566 (UCL).
To calculate the exact control limits for the mean and range charts, we will use the formulas provided:
Calculate the mean and range for each sample:
Sample 1:
Mean = (7.98 + 8.34 + 8.02 + 7.94 + 8.44 + 7.68 + 7.81 + 8.11) / 8 = 8.055
Range = 8.44 - 7.68 = 0.76
Sample 2:
Mean = (8.33 + 8.22 + 8.08 + 8.51 + 8.41 + 8.28 + 8.09 + 8.16) / 8 = 8.275
Range = 8.51 - 8.08 = 0.43
Sample 3:
Mean = (7.89 + 7.77 + 7.91 + 8.04 + 8.00 + 7.89 + 7.93 + 8.09) / 8 = 7.9475
Range = 8.09 - 7.77 = 0.32
Sample 4:
Mean = (8.24 + 8.18 + 7.83 + 8.05 + 7.90 + 8.16 + 7.97 + 8.07) / 8 = 8.055
Range = 8.24 - 7.83 = 0.41
Sample 5:
Mean = (7.87 + 8.13 + 7.92 + 7.99 + 8.10 + 7.81 + 8.14 + 7.88) / 8 = 7.9925
Range = 8.14 - 7.81 = 0.33
Sample 6:
Mean = (8.13 + 8.14 + 8.11 + 8.13 + 8.14 + 8.12 + 8.13 + 8.14) / 8 = 8.1325
Range = 8.14 - 8.11 = 0.03
Calculate the overall mean and overall average range:
Overall Mean = (8.055 + 8.275 + 7.9475 + 8.055 + 7.9925 + 8.1325) / 6 = 8.05708
Overall Average Range = (0.76 + 0.43 + 0.32 + 0.41 + 0.33 + 0.03) / 6 = 0.37833
Construct the control charts:
Mean Chart:
Upper Control Limit (UCL) = Overall Mean + (A2 * Overall Average Range)
Lower Control Limit (LCL) = Overall Mean - (A2 * Overall Average Range)
For a sample size of 8, A2 = 0.729.
UCL = 8.05708 + (0.729 * 0.37833) = 8.34595
LCL = 8.05708 - (0.729 * 0.37833) = 7.76821
Range Chart:
Upper Control Limit (UCL) = D4 * Overall Average Range
Lower Control Limit (LCL) = D3 * Overall Average Range
For a sample size of 8, D3 = 0 and D4 = 2.282.
UCL = 2.282 * 0.37833 = 0.86566
LCL = 0 * 0.37833 = 0
Therefore, the control limits for the mean chart are 7.76821 (LCL) and 8.34595 (UCL), and the control limits for the range chart are 0 (LCL) and 0.86566 (UCL).
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--The given question is incomplete, the complete question is given below " Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the filling process for tubes of caulking is in statistical control. Several samples of eight tubes were taken, each tube was weighted, and the weights in the following table were obtained.
Assume that only six samples are sufficient and develop the control charts for the mean and the range. "--
A car travels for 3 hrs . its average speed is 75 km/h .work out the total distance the car travels
Answers
Answer:
75×3=225
Step-by-step explanation:
the total distance the car travels is 225kms
The following events and their probabilities are listed below. event: A B C D probability: 1/4 1/3 1/4 1/4 Compute Pr[A + B] assuming AB = theta. Compute Pr[A + B] assuming A and B are independent. Is it possible that all of A, B, C, and D are mutually exclusive? Tell why or why not.
Answers
The probability of [A + B] is 1/2. and none of the events A, B, C, and D are mutually exclusive, because each event overlaps with at least one other event in probability.
If events A and B are mutually exclusive, then Pr[A + B] = Pr[A] + Pr[B] = 1/4 + 1/3 = 7/12. However, if events A and B are independent, then Pr[A + B] = Pr[A] + Pr[B] - Pr[A]Pr[B] = 1/4 + 1/3 - (1/4)(1/3) = 7/12 - 1/12 = 6/12 = 1/2.
It is not possible for all of A, B, C, and D to be mutually exclusive, because the sum of their probabilities is greater than 1 (1/4 + 1/3 + 1/4 + 1/4 = 13/12 > 1). If events are mutually exclusive, their probabilities cannot add up to more than 1, because the probability of any event occurring cannot be greater than 1. Therefore, at least one pair of these events cannot be mutually exclusive.
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Show that the triangles are similar. Write a similarity statement.(image)
Answers
all the triangles have three sides and all the angles inside of triangles always add up to 180⁰
the bed on jeffs pick up truck is 8 feet lomg. On a scale model of his truck the bed is 10 inches long. what is the scale of the model?
Answers
i think it would be 9.6 inches because 8 feet is 96 total inches so you could divide that by 10 getting every inch on the model to represent 9.6 inches on jeffs truck totaling at 96 inches or 8 feet
2700 revolutions in 75 seconds. pls help
Answers
Answer:
The unit rate is 2700 ÷ 3 = 900 2700 \div 3 = 900 2700÷3=900 kilometers per hour.
Step-by-step explanation:
what value of x makes the two expressions equal (image)
Answers
Answer:
\(\huge\boxed{\sf x = 6.5 }\)
Step-by-step explanation:
Given that, both the expressions are equal.
So,
7x - 5 = 5x + 8
Subtract 5x from both sides7x - 5x - 5 = 8
2x - 5 = 8
Add 5 to both sides2x = 8 + 5
2x = 13
Divide both sides by 2x = 13/2
x = 6.5\(\rule[225]{225}{2}\)
Answer:
\( \sf \: x = 6.5\)
Step-by-step explanation:
Given expressions,
→ 7x - 5
→ 5x + 8
Now we have to,
→ Find the required value of x.
Forming the equation,
→ 7x - 5 = 5x + 8
Then the value of x will be,
→ 7x - 5 = 5x + 8
→ 7x - 5x = 8 + 5
→ 2x = 13
→ x = 13 ÷ 2
→ [ x = 6.5 ]
Hence, the value of x is 6.5.