Answer:
[tex]ML = 58[/tex]
Step-by-step explanation:
Given
[tex]JK=3x+11, ML=10x-12, NP=45[/tex]
See attachment
Required
Length ML
First, calculate x using the following equivalent ratios
[tex]JK : NP = NP : ML[/tex]
Express as fraction
[tex]\frac{JK }{ NP} = \frac{NP }{ ML}[/tex]
Cross Multiply
[tex]JK * ML = NP * NP[/tex]
Substitute values:
[tex](3x +11) * (10x - 12) = 45 * 45[/tex]
Expand
[tex]30x^2 - 36x + 110x - 132 = 2025[/tex]
[tex]30x^2 +74x - 132 = 2025[/tex]
Collect like terms
[tex]30x^2 +74x - 132 - 2025=0[/tex]
[tex]30x^2 +74x -2157=0[/tex]
Using a calculator:
[tex]x \approx -10[/tex] and [tex]x \approx 7[/tex]
Given that:
[tex]ML=10x-12[/tex]
Substitute values for x
[tex]ML=10*-10-12 = -100 - 12 = -112[/tex]
[tex]ML=10*7-12 = 70 - 12 = 58[/tex]
ML cannot be negative; So:
[tex]ML = 58[/tex]
22,5,22,13,12,24,24,9,24,19 range mean median and mode
Answer:
19 is the range.
17.4 is the mean.
20.5 is the median.
24 is the mode.
Step-by-step explanation:
Range - The difference of the largest number and the smallest numberMean - To calculate the mean, add up all the numbers, then, divide the sum by the count.Median - The "middle" number after putting the numbers in numerical orderMode - The most frequently appearing numbers-------------------------------------------------------------------------------------------------------------
22, 5, 22, 13, 12, 24, 24, 9, 24, 19.
Now that we know what these words mean, we can solve this.
Range: 24 - 5 = 19
19 is the range.
-------------------------------------------------------------------------------------------------------------
Now, let's calculate the mean.
Mean: 22 + 5 + 22 + 13 + 12 + 24 + 24 + 9 + 24 + 19 = 174
There are 10 numbers in total.
174 ÷ 10 = 17.4
17.4 is the mean.
-------------------------------------------------------------------------------------------------------------
5, 9, 12, 13, 19, 22, 22, 24, 24, 24
In this case, there are two medians.
So to find the median, we have to add both the medians of this data set, then, divide the sum by 2.
19 + 22 = 41
41 ÷ 2 = 20.5
20.5 is the median.
-------------------------------------------------------------------------------------------------------------
5, 9, 12, 13, 19, 22, 22, 24, 24, 24
24 appears the most; 24 is the mode.
In the figure below,S is between Q and T and R is the midpoint of QS. If RT=9 And RS=4 find QT
Answer:
QT = 13
Step-by-step explanation:
since R is the midpoint of QS, QR = RS = 4
QT = RT + QR = 9 + 4 = 13
For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
Choose the correct null and alternative hypotheses below.
A. H0: μ = 22.1 months
Ha: μ > 22.1 months
B. H0: μ = 22.1 months
Ha: μ 22.1 months
C. H0: μ = 22.1 months
Ha: μ < 22.1 months
D. H0: μ > 22.1 months
Ha: μ = 22.1 months
E. H0: μ 22.1 months
Ha: μ = 22.1 months
F. H0: μ = 22.1 months
Ha: μ > 22.1 months
Which of the following is the correct classification of the hypothesis test?
A. Two-tailed
B. Left-tailed
C. Right-tailed
Answer:
Option B:
[tex]H_0: \mu = 22.1[/tex]
[tex]H_a: \mu \neq 22.1[/tex]
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
[tex]H_0: \mu = 22.1[/tex]
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
[tex]H_a: \mu \neq 22.1[/tex]
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
i will give Brainiest if your right
HELP HELP I WILL GIVE ALL POINTS JUST HELP ME DO THIS ONE
Answer:
5.6
Step-by-step explanation:
also can u give me brainly and yw
What is the value of P for the following triangular prism? 19 yd 7 yd 35 yd 12 yd
Answer: 12 yards
Step-by-step explanation:
I just had this question and 12 was the answer! May I have brainliest please?
The value of P for the following triangular prism, 12 yd
What is Perimeter of prism?Perimeter is the distance around the edge of a shape.
Perimeter of the prism = side + side + side
= 5+4+3
= 12 yd
Hence, the value of P = 12 yd
Learn more about perimeter here:
https://brainly.com/question/20521578
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HELP ME PLEASEEEEEEEEEEE
Answer: -5,1
Step-by-step explanation: Hope this help :D
Please answer 15 and 16 hurry pls!!
Answer:
15) letter A
16) letter C
Step-by-step explanation:
Used a graphing calculator,
hope this helps.
determine the value of x in the equation below. (3a3)x=27a9
Answer:
[tex]x = 9 {a}^{6} [/tex]
Step-by-step explanation:
[tex] = > {3a}^{3} x = 27 {a}^{9} [/tex]
[tex] = > {a}^{3} x = \frac{27a^{9} }{3} [/tex]
[tex] = > {a}^{3} x = 9a ^{9} [/tex]
[tex] = > x = \frac{9 {a}^{9} }{ {a}^{3} } [/tex]
[tex] = > x = 9a^{9 - 3} [/tex]
[tex] = > x = 9 {a}^{6} [/tex]
hence, the answer is x = 9a⁶.
Xander’s adult cat weighs 2,918 grams. As an 8-week old kitten, Xander’s cat weighed 640 grams. What is the percent increase in the kitten’s weight rounded to the nearest whole number?
Answer:
356%
Step-by-step explanation:
Incease in weight
2,918 - 640 = 2,278
% increase
p = increase / original * 100%
p = 2,278 / 640 * 100
p = 355.9375%
Rounded
356%
An isosceles trapezoid has sides lengths of 8, 11, 8, and 15. Find the length of the midsegment.
Answer:
You'll find the Answer on the bottom, If you want me to just say the answer mark me brainlist (Click brainlist next to my user)
Step-by-step explanation:
Minset length equals (-2+3x).
One Base is 13.
Another base is (x+3).
Write the equation of the line that passes through the points (7, -3) and (7, 0).
Answer:
x = 7
Step-by-step explanation:
Since the x- coordinates of the 2 points are equal, both 7 , then the line is vertical with equation
x = c
where c is the value of the x- coordinates the line passes through, then
x = 7 ← equation of line
Answer:
I hope this is right, im not sure because they are coincides or the same lines when overlapped, but I tried.
3x+0
Step-by-step explanation:
Using the formula mx+b we can get our answer.
We know that the two points pass through (7, 0)
mx+b is (slope)x+(y-intercept)
The slope of the two lines is 3 so we can replace m for 3:
3x+b
the y-intercept does not exist for these two lines as they are coincides, so we can just put it at 0, so we now have our equation 3x+0.
For the Past year, national percentages of people's preference in car color are as follows: White: 35%, Silver: 28%, Blue: 24%, Red: 10%, Other: 3% Of the 9,000 people who bought cars in San Jose recently, the following is the record of colors: White 3,145; Silver 2510; Blue 2,165; Red 905; Other 275 Use "Goodness of Fit Test" and the Chi Square distribution What is the value of the Chi Square Test Statistics for this problem to the nearest third decimal place? What is the p value for chi square?
Answer:
35%
Step-by-step explanation:
If 2 - 8 = -6, which of the following must be true?
Answer:
fefsf
Step-by-step explanation:
eff?
Answer:
you should add the question/statement so people could answer the question!
Step-by-step explanation:
a golden padlock weighs 4/5 of a pound, but only 3/4 of the padlock is real gold. How many pounds of real gold are in the padlock?
Answer:i dont know
Step-by-step explanation:
Help me
The real amount of gold in the padlock is 3 / 5 pounds.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a golden padlock weighs 4/5 of a pound, but only 3/4 of the padlock is real gold.
The amount of the golden padlock is calculated as,
Amount = 4 / 5 x 3 / 4
Amount = 3 / 5 pounds
To know more about an expression follow
https://brainly.com/question/29160940
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Solve for x. What does X =?
Answer:
x=50
Step-by-step explanation:
A segment has an endpoint at (2, 4) and a midpoint at (4, -2). What are
the coordinates of the other endpoint?
Answer: (6, -8)
Step-by-step explanation: endpoint 1 is 6.3 away from the midpoint. Double that makes 12.6, so find the point that is 12.6 away from the original endpoint. Using a graph helps! I personally use geogebra.
Hope this helped! Please give brainliest if it did ;)
Mental Math A typical tip in a restaurant is 15% of the total bill. If the bill is $120, what would the typical tip be? The typical tip would be $
Answer:
18 dollars and zero cents
Step-by-step explanation:
120×15%
6[x-2(x-3)] simplifies to the from ax +b .
Answer:
[tex]6(6 - x)[/tex]
Step-by-step explanation:
1) Expand.
[tex]6(x - 2x + 6)[/tex]
2) Collect like terms.
[tex]6((x - 2x) + 6)[/tex]
3) Simplify (x - 2x) + 6 to -x + 6.
[tex]6( - x + 6)[/tex]
4) Regroup term.
[tex]6(6 - x)[/tex]
Therefor, the answer is 6(6 - x).
Which of the following is most likely the next step in the series?
Answer:
(D) a hexagon......................
ASAP help me plz!!! It’s 2 questions btw
Answer:
60
Step-by-step explanation:
I hope you understand what I wrote
Find volume and round to the nearest whole cubic yard.
100 POINTS FOR ANYONE WHO CAN ANSWER THESE! <3
Answer:
∠1 = 142°
reason: angles 1 and 2 are supplementary so they equal 180. 180-38 is 142
∠3 = 38°
reason: angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.
∠4 = 142°
reason: since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142
∠5 = 38°
reason: since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2
∠6 = 142°
reason: for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.
∠8 = 142°
reason: since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also
Step-by-step explanation:
hope this helped you :)
The area of the figure is ______ sq units
i will give you brainliest and thanks and 5 star on all of my accounts on brainliest if its correct rip my points i have 9 now :(
Answer:
A) answer c ; B) X+3.7=15.3 ; C) 15.3 - 3.7 = 11.6 ---> 11.6+3.7=15.3
Step-by-step explanation:
Solution for A: First you have to look for the line underneath the bar says 15.3 as this will represent the total amount of liters in the bucket altogether. This would be bar c since we also know that we have 3.7 liters added but are missing the amount that was previously inside the bucket.
Solution for B: Let X resemble the unknown amount of water. To solve B, we need to write an equation. We know that there was already an amount of water in the bucket prior to us pouring more in so X is our first addend. We then added 3.7 liters of water to the unknown amount so that is our next addend giving you X+3.7=15.3
Solution for C: Now that we know our equation, we do the inverse operation (subtraction) in order to figure out the missing amount of water. This means we do
15.3 - 3.7 = 11.6
What is the distance between (-4, 15) and (24,-7)?
Round your answer to the nearest tenth.
45. Find the median of the numbers 34, 47,
46, 68, 76, 81
Answer:
the median is 57.5
Step-by-step explanation:
Help please i really need help with this.
Answer:
Sorry too hard
Step-by-step explanation:
Kelly's little brother is exactly 3 feet tall. How tall is he in inches?
Answer:
he is 36 inches
Step-by-step explanation:
Answer:
36 inches
Step-by-step explanation:
We know that Kelly's little brother is exactly 3 feet tall, and we know how big he is in inches.
To solve first keep in mind that 1 feet is 12 inches.
Therefore if there are 3 feet, we would multiply the inches 3 times.
12 * 3
= 36
Therefore, Kelly's little brother is 36 inches.
If four is subtracted from twice a number, the result is fourteen what is the equation
Answer:
2x - 4 = x - 10
Step-by-step explanation: