Answer:
81
Step-by-step explanation:
Range = maximum - minimum so here, we'd have:
52 = max - 29
Add 29 to both sides to solve.
The highest score if the range is 52 and the lowest score is 29 is 81.
What is the highest score?
Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.
Range = highest value - lowest value
Highest score = range + lowest score
52 + 29 = 81
To learn more about range, please check: https://brainly.com/question/12372689
The length of a rectangle is 5 centimeters less than 3 times its width. The perimeter of the rectangle is 6 times the rectangle's width. What is the width of the rectangle in centimeters?
Answer:
width=6cm, lenth is 7cm
Step-by-step explanation:
What is the magnitude of -3 +4i?
Answer:
we have
-3+4i
let magnitude be |z|
|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]
|z|=5 unit
Answer:
The magnitude of -3 +4i is 5
Step-by-step explanation:
latoya made $80 for 5 hours of work. At the same rate, how much would she make for 13 hours of work
Answer:
$208
Step-by-step explanation:
First, divide.
80 ÷ 5 = 16
Next, multiply.
16 × 13 = 208
Lastly, have a wonderful day! :)
Answer:
At the same rate, Latoya would make $208 for 13 hours of work.
Step-by-step explanation:
Since Latoya made $80 for 5 hours of work, that means she made a unit rate of $16 per hour. By working at the same rate for 13 hours, she would make a total of [tex]16 * 13 =[/tex] $208.
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two points A and B are shown. The point A is on ordered pair 2, 1, and the point B is on ordered pair negative 1, 1. A straight line joins the points A and B. If the area of the rectangle to be drawn is 18 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point) C(−1, −2), D(2, −2) C(−1, −8), D(2, −8) C(−1, −5), D(2, −5) C(−1, −6), D(2, −6)
9514 1404 393
Answer:
3. C(−1, −5), D(2, −5)
Step-by-step explanation:
The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...
D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)
C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)
The two points required to make a rectangle with an area of 18 square units are ...
C(-1, -5), D(2, -5)
_____
The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.
Show the work please.
9514 1404 393
Answer:
3x = ln(y+4)
Step-by-step explanation:
Taking the natural log of both sides, you have ...
3x = ln(y +4)
__
The applicable rule of logarithms is ...
ln(e^a) = a
The "work" is applying this rule. Here, a=3x. The log of a sum cannot be simplified.
Let s represent a false statement and let r represent a false statement. Find the truth value of the following statement.
~[~s v (~ r < s ) ]
Is the statement true or false?
True
False
I'll interpret the given statement as
[tex]\neg \bigg( \neg s \lor \big( \neg r \land s \big) \bigg)[/tex]
where [tex]\neg x[/tex] means "not x", [tex]\lor[/tex] means "or", and [tex]\land[/tex] means "and".
If r is false, then [tex]\neg r[/tex] is true.
s is given to be false, so [tex]\neg r\land s[/tex] (basically "true and false") is false.
If s is false, then [tex]\neg s[/tex] is true.
Then [tex]\neg s \lor \big(\neg r \land s\big)[/tex] (i.e. "true or false") is true.
Take the negation of that and you end up with a false statement.
If you intended "~r < s" to mean something like "not r is implied by s", so the original statement is actually
[tex]\neg\bigg(\neg s \lor \big(\neg r \impliedby s \big)\bigg)[/tex]
then [tex]s\implies \neg r[/tex] is true because s is false. Then [tex]\neg s \lor \big(\neg r \impliedby s\big)[/tex] is still true, so the statement still ends up being false.
6 boba drinks for $8.40 or 9 boba drinks for $9.95
Which one is a better deal?
Answer:
9 for $9.95
Step-by-step explanation:
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]
Which of the following are true statements about a 30-60-90 triangle?
Lan
Answer:
C and F
Step-by-step explanation:
Answer:
A, F
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1 : [tex]\sqrt{3}[/tex] : 2
Which binomial is a factor of 3x^2 + 2x − 5 ?
3x-1
3x-5
x-1
x-5
Answer:
3x-1
Step-by-step explanation:
3x^2+2x-5=3x-1 x1-25
NEED HELP DUE IN 6 MINUTES!!!!
Answer:
120
Step-by-step explanation:
volume of triangular prism = area of base times length
the base is a triangle and the area of a triangle can be calculated by using this formula
[tex]a=\frac{bh}{2}[/tex]
where b = base length and h = height
Dimensions of base
base length = 8cm and height = 3cm
Thus,
[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\[/tex]
The length of the triangular prism is 10cm
Thus volume = 10 * 12 = 120
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
38
The expression above can also be written in the form vb.
For this expression, a =
b=
and cu
Answer:
a = 3, b = 6, c = 5
Answers:
a = 3, b = 6, c = 5
==============================================
Explanation:
There's not much to say other that the rule we use is
[tex]\sqrt[c]{a^b} = a^{b/c}[/tex]
The c is the index of the root or radical. It's the denominator of the fractional exponent b/c. Comparing terms, we see that a = 3, b = 6 and c = 5.
You could simplify the a^b portion, but it seems like your teacher doesn't want that (right now).
-----------
Side notes:
if c = 2, then we have a square root and often the index number isn't shown at all. So [tex]\sqrt[2]{x} = \sqrt{x}[/tex]. Its only when c > 2 is when we can't drop the number, or else it'll get mistaken for a square root. If c = 1, then we won't have any radical. We'll have a^(b/c) = a^b if c = 1.HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
tan
Step-by-step explanation:
take 19 degree as reference angle
using tan rule
tan 19=opposite/adjacent
0.34=14/x
x=14/0.34
x=41.17
x=41.2
Question:
One
Renita is riding her bike to school. It takes her 5 minutes to
travel half of a mile.
How far can Renita travel in 10 minutes?
Answer:
1 mile
Step-by-step explanation:
if she can travel half a mile in 5 minutes, she can travel another half of a mile in 10 minutes. this adds up to 1 mile.
Write 27 + 21 as a product using the GCF as one of the factors.
What happens to the width of a confidence interval for a population mean if the level of confidence is increased without changing the sample size? Assume that the population standard deviation is unknown and the population distribution is approximately normal. Select your answer from the choices below.
Answer:
The increase in the level of confidence means that the interval will be wider.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level(if the confidence level increases z increases), s is related to the standard deviation and n is the sample size.
The higher the margin of error, the wider the interval is.
In this question:
Increasing the level of confidence will mean an increase in z, and thus, since M and z are directly proportional, the margin of error will increase, and the inteval will be wider.
Plz solve it correctly step by step!
Answer:
[tex]\dfrac{6}{10}ab[/tex]
Step-by-step explanation:
Given that,
The first number is [tex]\dfrac{-3a}{7}[/tex]
The second number is [tex]\dfrac{-21b}{15}[/tex]
We need to find the product of the first number and second number. Product means we need to multiply i.e.
[tex]\dfrac{-3a}{7}\times \dfrac{-21b}{15}=0.6ab\\\\=\dfrac{6}{10}ab[/tex]
Hence, the product of the given numbers is equal to [tex]\dfrac{6}{10}ab[/tex].
What is the value of cos pi/4?
Answer: -0.25
Step-by-step explanation:
Answer:
-0.25
Step-by-step explanation:
For the parallelogram, if m<2=4x-17 and m<4=3x-8, find m<1.
Answer:
D. 161°
Step-by-step explanation:
m<2 is congruent to m<4, m<1 is congruent to m<3 by properties of a parallelogram
to find x:
4x-17=3x-8
x-17=-8
x=9
m<4=3(9)-8=19
so, m<4=19°
m<2 =19°
to find m<1:
the interior angles of a parallelogram add up to 360°
360-2(19)=2x
2x=360-38
2x=322
x=161°
m<1=161°
Find the surface area of the solid figure represented by the given net.
10 cm
10 cm
25 cm 110 cm
10 cm
40 cm 2
250 cm 2
65 cm
2
90 cm 2
Answer:
65! :)
Step-by-step explanation:
can someone please help I will do anything
Answer:
678.24 cubic centimeters
Step-by-step explanation:
The base of the pyramid is an equilateral triangle. Find the volume of the pyramid. Round your answer to the nearest tenth.
10 in.
4 in.
Can someone help me pls ASAP!!❤️
Answer:
66 2/3 cubic inches
Step-by-step explanation:
V=1/3Bh where 'B' is the area of the base and 'h' is height
V = 1/3(20)(10)
V = 200/3 or 66 2/3 cubic inches
The perimeter of a rectangular field is 38m. It’s width is 7cm.
Answer:
12 m
Step-by-step explanation:
perimeter is all of the sides together, so 2 7's and 2 x's. You would subtract 14 from 38 to get 24, then divide it by 2 to get the missing side, which is 12
Draw a right triangle that has an 18-cm hypotenuse and a 70-degree angle. To within 0.1 cm, measure the leg adjacent to the 70-degree angle, and express your answer as a percentage of the hypotenuse. Compare your answer with the value obtained from your calculator when you enter COS 70 in degree mode. This is an example of the
Answer:
[tex]\frac{6.3cm}{18cm}=0.35[/tex]
or 35%
cos(70°)=0.34
The difference in the result is because of the precision of the measurements.
Step-by-step explanation:
First, we can start by drawing a horizontal line in our sheet of paper and pick one point on the line. (Picture 1)
Next we take our protractor and measure 70°. (Picture 2)
Then we draw a line that measures 18cm with our ruler from the point we selected on the horizontal line to the point we measured with the protractor. (Picture 3)
Next we take our square and measure a 90° angle from the end of the line we drew on the previous step to the horizontal line and connect the horizontal line to the ending point of the hypotenuse. (Picture 4)
And that will be our triangle. Next we can measure the adjascent side to the 70° angle (Picture 6) which turned out to be 6.3cm which can now be used to calculate the ratio as a percentage. (Picture 5)
[tex]ratio=\frac{adjascent}{hypotenuse}=\frac{6.3cm}{18cm}=0.35[/tex]
which is the same as a 35%.
If we calculated the cos(70°) with our calculator we would get:
cos(70°)=0.34
As you may see our measurements were pretty precise, the difference in answers will depend on the precision of our measurements.
Write exponential equation for geometric sequence where t(1)=140 and t(2)=98
Step-by-step explanation:
common ratio r = 98/140
first term a = 140
geometric sequence formula is an = ar^(n-1)
an = 98^(n-1)
where n is the number of terms in the sequence
What is the inverse operation of add 3? A. subtract 3 B. add 3 C. divide by 3 D. multiply by 3
Answer:
Subtrac 3
Step-by-step explanation:
Given
Add 3
Required
The inverse operation
In algebra, the inverse of add is subtract;
Hence, the inverse of add 3 is subtract 3
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51. Assume monthly gasoline bill amounts are normally distributed. The probability that his bill will be less than $50 a month or more than $150 for a single month is:
Answer:
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.
This means that [tex]\mu = 125.32, \sigma = 49.51[/tex]
Less than 50:
p-value of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 125.32}{49.51}[/tex]
[tex]Z = -1.52[/tex]
[tex]Z = -1.52[/tex] has a p-value of 0.0643
More than 150
1 subtracted by the p-value of Z when X = 150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 125.32}{49.51}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915
1 - 0.6915 = 0.3085
The probability that his bill will be less than $50 a month or more than $150 for a single month is:
0.0643 + 0.3085 = 0.3728
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
which problem can be solved using 3x7=21?
Answer: The Answer Is 21 Divided By 7 = 3
Answer:
Multiple problems can be solved.
These are the fact families.
7x3=21
21÷7=3
21÷3=7
Step-by-step explanation:
Factor the following expression.
10.25 + 513 – 14.12 – 7
A. (5.33-7)(2x2 + 1)
B. (5.04 + 7)(2.5 - 1)
C. (5.3 + 7)(2x2 - 1)
D. (5x4 - 7)(2x + 1)
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Line a is parallel to line b. If the
measure of Z7 is 114°, what is the
measure of Z1?
9514 1404 393
Answer:
114°
Step-by-step explanation:
Alternate exterior angles 1 and 7 are congruent. Angle 1 has the same measure as angle 7.
angle 1 = 114°