Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.
option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.
What is Absolute value of a number?
Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.
In other words Absolute value is the modulus of any number.
A ) False : the absolute value of the positive number will increase with increase in positive number.
B ) False : the absolute value of the positive number will decreases with decreases in positive number.
C) False : the absolute value of the negative number will increase with increase in negative number.
D) TRUE: the absolute value of the negative number will decreases with decreases in negative number.
Therefore, option D is true.
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Will give brainliest
Find the area of this triangle.
Round to the nearest tenth.
8 m
62°
12 m
[?] m2
Answer:
A, 1/2*b*h*sin
A, 1/2*12*8*sin 62
=43.3
Also use symbolab for this kid equations
Step-by-step explanation:
"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"
Answer:
B
Step-by-step explanation:
PLEASE HELP ME WITH THIS PROBLEM
The law of large numbers tells us what happens in the long run. Like many games of chance, the numbers racket has outcomes so variable - one three-digit number wins $600 and all others win nothing - that gamblers never reach the long run. Even after many bets, their average winnings may not be close to the mean. For the numbers racket, the mean payout for single bets is $0.60 (60 cents) and the standard deviation of payouts is about $18.96. If Joe plays 350 days a year for 40 years, he makes 14,000 bets.
Required:
a. What is the mean of the average payout x that Joe receives from his 14,000 bets?
b. What is the standard deviation of the average payout x that Joe receives from his 14,000 bets?
c. What is the approximate probability that Joe's average payout per bet is between $0.50 and $0.70?
Answer: (a) The mean and standard deviation of the average payout that Joe receives from his 14,000 bets are $0.60 and $0.1602 respectively.
(b) The probability that Joe's average payout per bet is between $0.50 and $0.70 is 0.4647.
Step-by-step explanation:
Let X = average payout of a bet.
The mean of the random variable X is, μ = $0.60.
The standard deviation of the random variable X is, σ = $18.96.
The number of total bets made is, n = 14000.
Since n = 14000 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample mean.
Thus, the mean and standard deviation of the average payout that Joe receives from his 14,000 bets are $0.60 and $0.1602 respectively.
Compute the probability that Joe's average payout per bet is between $0.50 and $0.70 as follows:
=P (-0.62 < Z < 0.62)
= P (Z < 0.62) - P(Z < -0.62)
= P (Z < 0.62) - [1-P (Z < 0.62)
= 2P (Z < 0.62) - 1
= (2 x 0.73237) - 1
= 0.46474
≈ 0.4647
I need help in this question. I am not understanding what it is telling me so HELP
Answer: You solve it its easy subtraction :)
Step-by-step explanation:
$14,000 - $5,358 - $2,834 - $4,132 = answer
Please help question in the picture
Answer:
64 m²
Step-by-step explanation:
Area of the trapezoid = ½(a + b)h
Where,
a = 6 m
b = 10 m
h = 8 m
Plug in the values
Area = ½(6 + 10)*8
Area = ½(16)*8
Area = 8*8
Area = 64 m²
Amir has 5 cups of water. He uses it to water 12 plants. Each plant gets
the same amount of water. How much water does each plant get?
Answer:
5/12 cup of water per plant
,........................................................................................l
Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
2^2+6^2=x^2
4+36=x^2
40=x^2
[tex]\sqrt{40}=x[/tex]
[tex]2\sqrt{10}[/tex][tex]=x\\[/tex]
Hope that helps :)
Answer:
sqrt(40) or approx. 6.324555
Step-by-step explanation:
a^2 + b^2 = c^2 (Pythagorean Theorem)
6 is a, 2 is b, and x is c, or the hypotenuse.
Plug in the values
6^2 + 2^2 = x^2
Simplify
36 + 4 = x^2
40 = x^2
Square root both sides
sqrt(40) = x
What is 97,000 in scientific notation?
Answer:
9.7 * 10 to power of 4
Step-by-step explanation:
Answer:
Don't know the meaning of this question
For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors
9514 1404 393
Answer:
g(x) = (x -3)(x -2+√7)(x -2 -√7)
Step-by-step explanation:
Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.
g(x) = (x -3)(x^2 -4x -3)
The quadratic is not factorable over integers. Its vertex form is ...
(x -2)^2 -7
so its roots are x = 2±√7.
That means the linear factorization of g(x) is ...
g(x) = (x -3)(x -2-√7)(x -2+√7)
_____
I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.
Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account
Answer:
$4.26
Step-by-step explanation:
a study of the effects of exercis used rats bred to have high or low capacity for exercise. The 8 high capacity rats had mean blood pressure 89 mm Hg and variance 81; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169. What is the value of the two-sample t statistic for comapring the two population means
Answer:
[tex]t=-2.86[/tex]
Step-by-step explanation:
From the question we are told that:
Sample 1 [tex]n_1=8[/tex]
Sample 1 mean blood pressure [tex]\=x_1=89mmHg[/tex]
Sample 1 variance [tex]\sigma_1=81[/tex]
Sample 2 [tex]n_2=8[/tex]
Sample 2 mean blood pressure [tex]\=x_2=105mmHg[/tex]
Sample 2 variance [tex]\sigma_2=169[/tex]
Generally the equation for the test of statistic is mathematically given by
[tex]t=\frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_2}{n_1}+\frac{\sigma_2}{n_2} } }[/tex]
[tex]t=\frac{89-105}{\sqrt{\frac{81}{8}+\frac{169}{8} } }[/tex]
[tex]t=-2.86[/tex]
therefore the samples test for comparing the two population means
[tex]t=-2.86[/tex]
A consumer group surveyed the prices for white cotton extra-long twin sheet sets in five different department stores and reported the average price as $16 with standard deviation $3.81. Assume that the population is normal and has a standard deviation equal to $3.81. 9. Provide a 95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets. z* is 1.96
Answer:
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
(12.6604 ,19.3396)
Step-by-step explanation:
Step(i):-
Given that mean of the sample = 16
Given that the standard deviation of the sample = 3.81
The standard deviation of the Population = 3.81
Level of significance = 0.05
Step(ii):-
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]
([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]
( 16 - 3.3396 , 16 + 3.3396)
(12.6604 ,19.3396)
Final answer:-
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
(12.6604 ,19.3396)
you guy have any song requests?
Answer:
Never want to give you up
Step-by-step explanation:
Brainliest? pls
Famous Dex - Pick It Up (Lyrics) feat. A$AP Rocky
My ordinary life
SoFaygo - Knock Knock
Streets
D !ck
A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.
The height of the prism is _____ inches,square inches,cubic inches
Answer:
I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!
Answer:
The answer is 7 square in
Step-by-step explanation:
Do this formula
V=Bh
105=15h
h=7 square in
The manager of a restaurant recorded how many people are in different groups of customers and how much does group spent on food and beverages. The scatterplot below shows the date if she recorded. Based on this scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?
Answer:
$135
Step-by-step explanation:
i need help with these 2 questions.
Answer:
Step-by-step explanation:
6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height
Area of one triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}\times 4\times 3[/tex]
= 6 km²
Perimeter of the triangular base = (4 + 3 + 5)
= 12 km
Height of the triangular prism = 7 km
Surface area of the given triangular prism = 2(6) + (12)(7)
= 12 + 84
= 96 km²
7). Surface area of a rectangular prism = 2(lb + bh + hl)
Here, l = Length, b = Width and h = Height
By substituting the values from the given question,
l = 9 in, b = 9 in, h = 4 in
Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)
= 2(81 + 36 + 36)
= 2(153)
= 306 in²
Does anyone know this please help
Answer:
b.12/25
c.4/15
d.8/15
e.6/12
2a.15/24=5/8
b.20/40=1/2
PLEASE ANSWER THE PIC BELOW
Answer: 11
Step-by-step explanation:
Since the equation of circumference is 2(r)pi
if 22pi=2(r)pi
then 22=2r
22=2r
r=11
Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11.
The profit for one medium cake is twice the profit for one small cake.
The profit for one large cake is three times the profit for one small cake.
Her total profit is £532.48
Work out the profit for one small cake
Answer:
S = £1.28
Step-by-step explanation:
Let the small, medium and large cakes be S, M and L respectively.
Given the following data;
Total profits = £532.48
Total number of cake = 192 cakes
Ratio of S:M:L = 7:6:11
Sum of ratio = 7+6+11 = 24
To find number of each cakes, we would divide the total number of cakes by the sum of ratio;
Number of each cakes = 192/24
Number of each cakes = 8
Next, we determine the exact number of each type of cakes.
Small = 7*8 = 56 cakes.
Medium = 6*8 = 48 cakes.
Large = 11*8 = 88 cakes.
For the profits;
Translating the word problem into an algebraic expression, we have;
M = 2S
L = 3S
56S + 48*(2S) + 88*(3S) = £532.48
56S + 96S + 264S = 532.48
416S = 532.48
S = 532.48/416
S = £1.28
Therefore, the profit for one small cake is £1.28
Find the common difference of the arithmetic sequence -7, -1, 5, ...
Answer:
d = -6
Step-by-step explanation:
common difference, d = -7-(-1) = -6
Find mZECD
E
D
C С
31°
A
B
PLEASE HELP I WILL GIVE BRAINLIEST
PLEASE HELP WILL MARK BRAINLIEST!!! No links and serious answers only!!
2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
5 divided by 1/4
go straight to the answer
Answer:
20
Step-by-step explanation:
Los ángulos de elevación hacia un
avión se miden desde la parte superior y la base de
un edificio que tiene 20 m de altura. El ángulo desde
la azotea es de 38°, y desde la base es de 40°.
Calcule la altitud del avión
A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.
¿Cómo hallar la altitud del avión con respecto al suelo?
A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:
[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex] (1)
Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:
h = r₁ · sin 40° (2)
h = (451.589 m) · sin 40°
h ≈ 290.276 m
A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.
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A bird is flying 25 mph. How long will it take to travel
120 miles?
Answer: 4 hours and 48 minutes
Step-by-step explanation:
120 miles divided by 25 mph
= 4.8
= 4 hours
0.8 x 60
= 48 mins
0 x 60 = 0
Which of the fractions is equivalent to 2/3
Answer:
4/6
6/9
12/18
8/12
5/10
Step-by-step explanation:,,
Answer:
The answers are 4/6 and 6/9.
Step-by-step explanation:
Which following relations represent a function
Answer:
I think that actually all of them represent a function , except D .
hope it was helpful .