Which graph represents the compound inequality?
-3
-5 -4 -3 -2 -1 0 1
2
3 4
5
-5 4 -3 -2 -1 0 1
2 3 4 5
-5 4 -3 -2 -1 0 1
2
3
4
5
OG
-5 4 -3 -2 -1 0 1 2 3 4 5
Answer:
4th option
Step-by-step explanation:
open circle means more than or less than
n is more than -3 but less than 1
Which value makes the number sentence true?
Answer:
D) 19
Step-by-step explanation:
-7 + 19 = 12
Which of the following statements is TRUE if angle 4 has a measure of 127°?
If you can’t see the answer choices I apologize, but you can zoom in the photo.
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
A
Step-by-step explanation:
the sum of angle 1 and angle 4 is 180
the answer is A because 53 + 127 = 180
Solve the simultaneous equations
3x + 5y = 21
3x – y=3
Answer:
Using substitution method
x=2
y=3
pls help i’ll give brainliest
Answer:
94
Step-by-step explanation:
So
376= x + 3x
Where x is the hambugers and 3 x is cheeseburgers
so it is the same as
376= 4x
divide both sides by 4
x= 94
we can check by tripling x = 283 and adding the hamburgers we found to be 94 which gives us 376
Simplify this expression.
4^9/4^3
Answer: [tex]\frac{4^{9} }{4^{3} }[/tex]=4096
Steps:
[tex]\frac{4^{9} }{4^{3} }[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]\frac{4^9}{4^3}=4^{9-3}[/tex]
[tex]=4^{9-3}[/tex]
[tex]4^{9} -^{3}[/tex]
=4096
The Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.
What is simplifying?Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler (usually shorter), for example.
Simplification of algebraic expressions, in computer algebra.
Simplification usually involves making the expression simple and easy to use later.
We need to Simplifying the expression
4 ^ 9 / 4 ^ 3 .
Now, 4 ^ 9 / 4 ^ 3
Using exponent formula;
= 4 ^ ( 9 - 3 )
= 4 ^ 6
= 4096
Therefore, the Simplifying the expression 4 ^ 9 / 4 ^ 3 will be 4096.
Learn more about simplification here;
brainly.com/question/723406
#SPJ2
39➗(2+1) - 2x (4+1)
5/7 - Exit Ticket
Answer:
13 - 10x
= -3x
hope it helps
There are 24 students in a class, and three of them are named Madison. There are no other students in the class with the same name.
If the teacher calls on students randomly, which of the following BEST describes the probability of a Madison being chosen?
If you cannot see, zoom in on the photo.
Do not answer if you don’t know the answer.
Whoever answers correctly will get Brainliest!
Answer:
Mizuki is here to help! The answer is D!
Step-by-step explanation:
Ok... So there are 24 students in the class and no other students in the class has the same name right? So the fraction should be [tex]\frac{3}{24}[/tex] since there are three madisons, which will be 0.125!
Since three people have the same name, everyone else gets less probability of getting called so the answer would be D.
Answer:
Option D
Step-by-step explanation:
Total Students in a class: 24
Total Madisons in the class: 3
Denominator is always the total number of something so; [tex]\frac{3}{24}[/tex]
3/24 = 0.125
Any other student would have a probability of [tex]\frac{1}{24}[/tex] of being chosen which is less than [tex]\frac{3}{24}[/tex], therefore, Option D is the most sensible one.
Hope this helps!
Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Exam Image Exam Image We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic
Answer:
[tex]t = 31.29[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccccc}{Stick} & {25.8} & {26.9} & {26.2} & {25.3} & {26.7}& {26.1} \ \\ {Liquid} & {16.9} & {17.4} & {16.8} & {16.2} & {17.3}& {16.8} \ \end{array}[/tex]
Required
Determine the test statistic
Let the dataset of stick be A and Liquid be B.
We start by calculating the mean of each dataset;
[tex]\bar x =\frac{\sum x}{n}[/tex]
n, in both datasets in 6
For A
[tex]\bar x_A =\frac{25.8+26.9+26.2+25.3+26.7+26.1}{6}[/tex]
[tex]\bar x_A =\frac{157}{6}[/tex]
[tex]\bar x_A =26.17[/tex]
For B
[tex]\bar x_B =\frac{16.9+17.4+16.8+16.2+17.3+16.8}{6}[/tex]
[tex]\bar x_B =\frac{101.4}{6}[/tex]
[tex]\bar x_B =16.9[/tex]
Next, calculate the sample standard deviation
This is calculated using:
[tex]s = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
For A
[tex]s_A = \sqrt{\frac{\sum(x - \bar x_A)^2}{n-1}}[/tex]
[tex]s_A = \sqrt{\frac{(25.8-26.17)^2+(26.9-26.17)^2+(26.2-26.17)^2+(25.3-26.17)^2+(26.7-26.17)^2+(26.1-26.17)^2}{6-1}}[/tex]
[tex]s_A = \sqrt{\frac{1.7134}{5}}[/tex]
[tex]s_A = \sqrt{0.34268}[/tex]
[tex]s_A = 0.5854[/tex]
For B
[tex]s_B = \sqrt{\frac{\sum(x - \bar x_B)^2}{n-1}}[/tex]
[tex]s_B = \sqrt{\frac{(16.9 - 16.9)^2+(17.4- 16.9)^2+(16.8- 16.9)^2+(16.2- 16.9)^2+(17.3- 16.9)^2+(16.8- 16.9)^2}{6-1}}[/tex]
[tex]s_B = \sqrt{\frac{0.92}{5}}[/tex]
[tex]s_B = \sqrt{0.184}[/tex]
[tex]s_B = 0.4290[/tex]
Calculate the pooled variance
[tex]S_p^2 = \frac{(n_A - 1)*s_A^2 + (n_B - 1)*s_B^2}{(n_A+n_B-2)}[/tex]
[tex]S_p^2 = \frac{(6 - 1)*0.5854^2 + (6 - 1)*0.4290^2}{(6+6-2)}[/tex]
[tex]S_p^2 = \frac{2.6336708}{10}[/tex]
[tex]S_p^2 = 0.2634[/tex]
Lastly, calculate the test statistic using:
[tex]t = \frac{(\bar x_A - \bar x_B) - (\mu_A - \mu_B)}{\sqrt{S_p^2/n_A +S_p^2/n_B}}[/tex]
We set
[tex]\mu_A = \mu_B[/tex]
So, we have:
[tex]t = \frac{(\bar x_A - \bar x_B) - (\mu_A - \mu_A)}{\sqrt{S_p^2/n_A +S_p^2/n_B}}[/tex]
[tex]t = \frac{(\bar x_A - \bar x_B) }{\sqrt{S_p^2/n_A +S_p^2/n_B}}[/tex]
The equation becomes
[tex]t = \frac{(26.17 - 16.9) }{\sqrt{0.2634/6 +0.2634/6}}[/tex]
[tex]t = \frac{9.27}{\sqrt{0.0878}}[/tex]
[tex]t = \frac{9.27}{0.2963}[/tex]
[tex]t = 31.29[/tex]
The test statistic is 31.29
What is the difference In -4-(-7)
Answer:
Step-by-step explanation:The Apple iPhone 7 has a 4.7-inch size display, while the iPhone 7 Plus has a 5.5-inch display. The standard iPhone 7 has a 1334 x 750 pixel resolution, while the Plus has a Full HD resolution meaning their pixel densities are 326ppi and 401ppi, respectively.
A salesperson uses random digit dialing to call people and try to interest them in applying for a charge card for a large department store chain. From past experience, she is successful on 2% of her cals. in typical working, she makes 50 calls. Let X be the number of calls on which she is unsuccessful.
a. This is binomial distribution. Explain using the BINS method why this is so.
b. Find the mean and standard deviation of X. Leave answer to 4 d.p
c. Find the probablity of P(X>or equal to 48)
Answer:
a)
In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.
b) The mean is 1 and the standard deviation is 0.9899.
c) [tex]P(X \geq 48) = 0[/tex]
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
From past experience, she is successful on 2% of her calls.
This means that [tex]p = 0.02[/tex]
50 calls.
This means that [tex]n = 50[/tex]
a. This is binomial distribution. Explain using the BINS method why this is so.
BINS: Binary outcomes, Independent Trials, n is fixed, and same value of p for all trials.
In this question, for each call, there are only two possible outcomes, either it is successful, or it is not, so binary outcomes. For each call, the probability of a success or failure is the same, which means that the trials are independent, having the same value of p. And the number of trials, which is 50, is fixed. This means that this is a binomial distribution.
b. Find the mean and standard deviation of X.
The mean is:
[tex]E(X) = np = 50*0.02 = 1[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.02*0.98} = 0.9899[/tex]
The mean is 1 and the standard deviation is 0.9899.
c. Find the probablity of P(X>or equal to 48)
This is:
[tex]P(X \geq 48) = P(X = 48) + P(X = 49) + P(X = 50)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 48) = C_{50,48}.(0.02)^{48}.(0.98)^{2} \approx 0[/tex]
[tex]P(X = 49) = C_{50,49}.(0.02)^{49}.(0.98)^{1} \approx 0[/tex]
[tex]P(X = 50) = C_{50,50}.(0.02)^{50}.(0.98)^{0} \approx 0[/tex]
So
[tex]P(X \geq 48) = 0[/tex]
I need help on this question
Answer:
11. Volume = 2181.2mm^3
12. Surface Area = 1204.49mm^2
Step-by-step explanation:
We first need to find the hypotenuse side of the triangle using the Pythagorean theorem:
a^2+b^2 = c^2
13.3^2+20.5^2 = c^2
176.89+420.25 = c^2
597.14 = c^2
24.44 = c
Now we can find the volume using the formula:
V = 1/4(16)sqrt-13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
V = 2181.2mm^3
To find the surface area using the surface area formula:
A = (13.3*16)+(20.5*16)+(24.44*16)+1/2sqrt
13.3^4+2(13.3*20.5)^2+2(13.3*24.44)^2
-20.5^4+2(20.5*24.44)^2-24.44^4
A = 1204.49mm^2
A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedroom units within a half-mile of campus and the rents paid. The sample mean is $550 and the sample standard deviation is $60.05. Provide a 95% confidence interval estimate of the mean rent per month for the population of one-bedroom units within a half-mile of campus. Assume that population is normally distributed.
Answer:
(507.05, 592.95)
Step-by-step explanation:
Given data:
sample mean = $550, sample standard deviation S = $60.05
95% confidence interval , n = 10
For 95% confidence interval for the mean
mean ± M.E.
where M.E. is margin of error = [tex]t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }[/tex]
Substituting the values in above equation
[tex]=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }[/tex]
= 2.62×18.99
=42.955
= 550±42.95
=(507.05, 592.95)
cuanto es 36x1000 por fa
Answer:
[tex]36 * 1000 = 36000[/tex]
Step-by-step explanation:
Have a nice day!
¡Que tenga un lindo día!
Answer:36000
Step-by-step explanatio:ESPERO TE AYUDE
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4 in and the height of the pyramid is 9.6 in. Round your answer to the nearest tenth of a cubic inch.
9514 1404 393
Answer:
21.6 in³
Step-by-step explanation:
The volume of a square pyramid is given in terms of perimeter and height by ...
V = (1/48)P²h
V = (1/48)(10.4 in)²(9.6 in) ≈ 21.6 in³
The volume is about 21.6 cubic inches.
pls help djehhxhxhxhxhxjjdndnd
Area of both the triangles :
= ½ × base × prepenicular
= ½ × 3 × 4
= 3 × 2
= 6 × 2 = 12 ( We have two triangles)
Area of semicircle :
= πr²/2
= 3.14 × 3 × 3 /2
= 28.26/2
= 14.13
Total area = 12 + 14.13 = 26.13 = 26.130
Solutions to quadratic equation 4x^2+5x+1=0
NEED HELP NOW!
Question 4(Multiple Choice Worth 5 points) (07.06A MC) What is the initial value of the function represented by this table?
A lab technician mixes a 10% acid solution with a 50% acid solution to create 40 ml of a 40%
solution. How much of each solution must be used?
Answer:
10 ml of 10%
30 ml of 50%
Step-by-step explanation:
x = amount of 10%
40 - x = amount of 50%
-------------------------------------
10x + 50(40 - x) = 40(40)
10x + 2000 - 50x = 1600
-40x + 2000 = 1600
-40x = -400
x = 10 ml of 10%
40 - x = 30 ml of 50%
A roller coaster begins at ground level, rises 63 feet, then falls 71 feet. What is the
elevation of the roller coaster, relative to the ground? *
134 feet
8 feet
- 8 feet
- 134 feet
Answer:
-8 feet
Step-by-step explanation:
63 - 71 = -8
Find the circumference of the circle.
Answer:
72 .22 inches is the answer bro
Answer:
72.22 inches
Step-by-step explanation:
Formula for circumference given diameter is:
c = πd
If you use 3.14 for pi, you get 72.22 inches:
c = 3.14(23)
c = 72.22
Pls help me I will mark is your right :)
the value of the variable which makes an equation a true sentence is called the ___ of the equation
Answer:
Solution
Step-by-step explanation:
the value of the variable which makes an equation a true sentence is called the solution of the equation
Andre drank 1.5 liters of water he brought. If he drank 80% of his entire hike, how much did he drink?
(please do explanation)
Answer:
He drank 1.2 liters
Step-by-step explanation:
1.5 X 0.8 (80%) = 1.2
Also the dude below also took my points when i asked a question :)
my math grade currently is a 96%. i get a 55% on a math test. the weight of the test is 50% of my grade. what would my grade be?
Answer:
h
Step-by-step explanation:
g
How many solutions do the systems of equations have?
y =-1/3 x + 9
y =- 2/6x
Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(4-2)
(8.2)
(-16-17)
(-1.-8)
(-40,-34)
Find the volume of the given prism. Round to the nearest tenth if necessary.
Find the surface area of the cylinder to the nearest whole number,
Answer:
18. 2,047.5 yd³
19. 3204 in.²
Step-by-step explanation:
18. Volume of triangular prism = triangular base area × height of prism
Height of prism = 21 yd
Triangular base area = ½*b*h
b = 15 yd
h = √(15² - 7.5²) = √168.75 ≈ 13 yd
Triangular base area = ½*15*13 = 97.5 yd²
Plug in the values into the formula of the volume of prism
Volume of prism = 97.5 × 21
= 2,047.5 yd³
19. Surface area = 2πrh + 2πr²
Where,
r = 15 in.
h = 19 in.
Plug in the values
Surface area = 2*π*15*19 + 2*π*15²
Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)
Which of the following are examples of irrational numbers? Select all that apply.
V4 + V16
15+ 36
√9+ /24
2.v4
49.81
Answer:
A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction. An irrational number is a number that is NOT rational. It's the complete opposite!
= 2 + 4 = 6 ↔ rational
= 2 * 2 = 4 ↔ rational
= 7 + 9 = 16 ↔ rational
Hope this helps!!
how many terms of AP - 6. - 11 by 2 .minus 5 are needed to be the sum -25
Given:
The terms of a sequence are:
[tex]-6,-\dfrac{11}{2},-5[/tex]
To find:
The number of terms whose sum is -25.
Solution:
We have, the given sequence:
[tex]-6,-\dfrac{11}{2},-5[/tex]
Here, the first term is -6.
[tex]-\dfrac{11}{2}-(-6)=-5.5+6[/tex]
[tex]-\dfrac{11}{2}-(-6)=0.5[/tex]
Similarly,
[tex]-5-(-\dfrac{11}{2})=-5+5.5[/tex]
[tex]-5-(-\dfrac{11}{2})=0.5[/tex]
The difference between consecutive terms are same. So, the given sequence is an arithmetic sequence with common difference 0.5.
The sum of n terms of an arithmetic sequence is:
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Where, a is the first term, d is the common difference.
Putting [tex]S_n=-25,a=-6,d=0.5[/tex], we get
[tex]-25=\dfrac{n}{2}[2(-6)+(n-1)0.5][/tex]
[tex]-50=n[-12+0.5n-0.5][/tex]
[tex]-50=-12.5n+0.5n^2[/tex]
[tex]0=0.5n^2-12.5n+50[/tex]
Splitting the middle term, we get
[tex]0.5n^2-2.5n-10n+50=0[/tex]
[tex]0.5n(n-5)-10(n-5)=0[/tex]
[tex](0.5n-10)(n-5)=0[/tex]
Using zero product property, we get
[tex](0.5n-10)=0[/tex] and [tex](n-5)=0[/tex]
[tex]n=\dfrac{10}{0.5}[/tex] and [tex]n=5[/tex]
[tex]n=20[/tex] and [tex]n=5[/tex]
Therefore, the sum of either 5 or 20 terms is -25.