Answer:
16 anos
Step-by-step explanation:
Match each compound inequality on the left to the graph that represents its solution on the right.
Answer: First answer goes with second graph
Second answer goes with third graph
Third answer goes with first graph :)
Step-by-step explanation:
The equation 1 matches option (B), equation 2 matches option (C), equation 3 matches option (A).
What is Graphs of inequalities?"An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region".
For the above situation,
The inequalities are given as
1. [tex]4x+3 > 15[/tex] or [tex]-6x > =12[/tex]
2. [tex]-8x > -24[/tex] and [tex]-10 < =2x-6[/tex]
3.[tex]-29 < =9x-2 < 16[/tex]
By finding the solution for these equations will give the points that to be plotted on the graph.
Equation 1:
[tex]4x+3 > 15[/tex]
⇒[tex]x > 3[/tex]
[tex]-6x > =12[/tex]
⇒[tex]x > =-2[/tex]
So the points are (3,-2).
Equation 2:
[tex]-8x > -24[/tex]
⇒[tex]x > 3[/tex]
[tex]-10 < =2x-6[/tex]
⇒[tex]x > =-2[/tex]
So the points are (3,-2).
Equation 3:
[tex]-29 < =9x-2[/tex]
⇒[tex]x > =-3[/tex]
[tex]9x-2 < 16[/tex]
⇒[tex]x < 2[/tex]
So the points are (-3,2).
Hence we can conclude that the equation 1 matches option (B), equation 2 matches option (C), equation 3 matches option (A).
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PLEASE HELP NO LINKS PLEASE In a certain town, 62% of the residents enjoy riding roller coasters. Alfred takes a sample of 75 residents from this, town. What is the probability that fewer than 58% of the residents in the sample enjoy riding roller coasters? Find the z-table here. O 0.238 O 0.433 O 0.714 O 0.762
Answer:
Option B
Step-by-step explanation:
Here ,
The mean value is 0.62
Z value formula is
z = (x' -mean)/(sigma/sqrt (n))
Substituting the given values, we get -
sigma = Sqrt {(x'-mean)^2/n}
Sigma = sqrt { (0.58-0.62)^2/75} = 0.09
z = (0.58-0.62)/(0.09)
z = -0.433
Hence, option B is correct
Answer:
im choosing A cause my answer shows 0.238 ill let yall know what i get
Step-by-step explanation:
I got a hundred
Standard Dev: 0.05604
0.58-0.62 / 0.05604 = (Z-Score) -0.713
Big babies: The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds. A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds. Do the data provide convincing evidence that the pediatrician's claim is true? Use the =α0.05 level of significance and the critical value method with the
Answer:
The pvalue of the test is 0.0012 < 0.05, which means that the data provides convincing evidence that the pediatrician's claim is true.
Step-by-step explanation:
A pediatrician claims that the mean weight of one-year-old boys is greater than 25 pounds.
This means that at the null hypothesis, we test that the mean is 25 pounds, that is:
[tex]H_0: \mu = 25[/tex]
At the alternate hypothesis, we test that it is more than 25 pounds, that is:
[tex]H_a: \mu > 25[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
25 is tested at the null hypothesis:
This means that [tex]\mu = 25[/tex]
The National Health Statistics Reports described a study in which a sample of 315 one-year-old baby boys were weighed. Their mean weight was 25.6 pounds with standard deviation 5.3 pounds.
This means that [tex]n = 315, \mu = 25.6, \sigma = 5.3[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{25.6 - 25}{\frac{5.3}{\sqrt{315}}}[/tex]
[tex]z = 3.04[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean above 25.6 pounds, which is 1 subtracred by the pvalue of z = 3.04.
Looking at the z-table, z = 3.04 has a pvalue of 0.9988
1 - 0.9988 = 0.0012
The pvalue of the test is 0.0012 < 0.05, which means that the data provides convincing evidence that the pediatrician's claim is true.
One can of Mountain Dew costs $1.25 in a vending machine.
A 12-pack of Mountain Dew costs $3.49 at the grocery store.
How much money would you save by purchasing a dozen cans of Mountain Dew at the grocery store instead of a dozen at the vending machine?
$2.24
$0.96
$11.51
$12.49
Need help with this problem!!
Answer:
Area:
4 x 4 = 16
Finding area of semi circle:
4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!
2^2<---your radius being squared = 4
4(radius squared) x 3.14(pi) = 12.56
12.56 divided by 2 since its a semi circle is = 6.28
6.28 + 16 = 22.28 is your area
Perimeter is:
4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12
Circumference:
Radius is 2,
2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56
12.56 divided by 2 = 6.28
6.28 + 12 = 18.28 is your perimeter.
Just a refresh:
Circumference Formula:
2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius
Area of a Circle Formula:
Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)
Another thing you should remember:
Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!
A local boys club sold 136 bags of mulch and made a total of $538. It sold two types of mulch: hardwood for $4.25 a bag and pine bark for $3.75 a bag. How many bags of each kind of mulch did it sell?
Answer:
56 hardwood 80 pine bark
Step-by-step explanation:
H = hardwood B= pine bark
B +H = 136
B = (136-H)
4.25 H + 3.75 (136-H) = 538
4.25H + 510 - 3.75H = 538
0.5 H = 28
1H = 56 (56 Hardwood)
136-56= 80
56x 4.25 + 80 x 3.75 = 538
$238 + $300 = $538
A bakery offers a sale price of $2.80 for 3 muffins. What is the price per dozen?
Answer: 11.2$
Step-by-step explanation:
Jasmine is making 4 types of muffins. Each recipe uses 3/4 cup of sugar.
Answer: The answer is 3
porque es matematicas nos piden buscar la x?
Answer:
Em matemática, costumamos usar a letra “x” para representar a quantidade desconhecida. Mas agora x está em toda parte em nossa sociedade. As pessoas usam “x” para representar algo inexplicável ou desconhecido, como raio-X, arquivo X e i hope that helps :)
PLEASE HELP SO I CAN GO EAT LUNCH!!
Answer:
Average low temp. = 6. The fourth number is 9.
Step-by-step explanation:
To find the average of 7 low temperatures, add them and divide the sum by 7.
Average low temp. = (5 + 8 + 6 + 5 + 10 + 7 + 1) / 7 = 42 / 7 = 6
The mean is the average. Call the missing number x.
There are four numbers, three of which are given. Add all the number, including the unknown x, then divide the sum by 4. The result is 7 (given in the problem).
[tex]\frac{5+7+7+x}{4}=7\\\frac{19+x}{4}=7\\19+x=28\\x=9[/tex]
Calculate the P-value for the given scenario. Use 4 decimal places.:
Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of the one
of its competitors, which is $68,000. A random sample of 20 of the company's mechanical engineers has a mean salary of $66,900. Assume the
population standard deviation is $5500 and the population is normally distributed.
Answer:
The p-value is 0.1867.
Step-by-step explanation:
Employees at a construction and mining company claim that the mean salary of the company's mechanical engineers is less than that of the one of its competitors, which is $68,000.
At the null hypothesis we test that the salary is the same of the competitor, that is:
[tex]H_0: \mu = 68000[/tex]
At the alternate hypothesis, we test that it is more than 68000. So
[tex]H_a: \mu > 68000[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
68000 is tested at the null hypothesis:
This means that [tex]\mu = 68000[/tex]
A random sample of 20 of the company's mechanical engineers has a mean salary of $66,900. Assume the population standard deviation is $5500.
This means that [tex]n = 20, X = 66900, \sigma = 5500[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{66900 - 68000}{\frac{5500}{\sqrt{20}}}[/tex]
[tex]z = -0.89[/tex]
P-value:
The pvalue is the probability of finding a sample mean below 66900, which is the pvalue of z = -0.89.
Looking at the z-table, z = -0.89 has a pvalue of 0.1867.
The p-value is 0.1867.
which deduction is optional?
a.federal income tax
b. life insurance
c.medicare
d.social security
Answer:
Life insurance
Step-by-step explanation:
The rest are governm taxes
(NO LINKS)
How much compound interest is earned on a deposit of $6000 at 2.25%, compounded daily for 22 days?
Answer:
Total: $9,789.13
Interest: $3,789.13
Step-by-step explanation:
Pears are $1.98 a pounds. How much do 3.5 pounds of Pears cost?
A box has a length of 15 centimeters, a width of 22 centimeters, and a height of 9 centimeters. What is the surface area of the box? 1,326 cm 2 92 cm 2 5,940 cm 2 663 cm 2
The surface area of the figure will be equal to 1326 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called as the surface area.
Given that:-
A box has a length of 15 centimetres, a width of 22 centimetres, and a height of 9 centimetres.The surface area will be calculated as:
SA = 2 { LW + LH + WH )
SA = 2 { ( 9 x 12) + (15 x 22 ) + (15 x 9 )}
SA = 1326 square meters.
Therefore the surface area of the figure will be equal to 1326 square meters.
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Which input-output rules could describe the same function (if any)? Be prepared to explain your reasoning.
Answer:
Step-by-step explanation:
the 1st and 2nd b/c they are both square the input number
Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming election. They conduct a random phone poll, where they contact 150 individuals and ask them whether or not they plan on voting for the levy. Of these 150 respondents, 78 people say they plan on voting for the levy. The school board wants to determine whether or not the data supports the idea that more than 50% of people plan on voting for the levy. Calculate the p-value for the one-sided Hypothesis test described in this example. (Hint: Find the test statistic and then use the tables to find the p-value.)
Answer:
The p-value for the one-sided Hypothesis test described in this example is 0.3121.
Step-by-step explanation:
Test the hypothesis that more than 50% of people plan on voting for the levy.
At the null hypothesis, we test that the proportion is 50%, that is:
[tex]H_0: p = 0.5[/tex]
At the alternate hypothesis, we test if this proportion is above 50%, that is:
[tex]H_a: p > 0.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.5 is tested at the null hypothesis:
This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]
Of these 150 respondents, 78 people say they plan on voting for the levy.
This means that [tex]n = 150, X = \frac{78}{150} = 0.52[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.52 - 0.5}{\frac{0.5}{\sqrt{150}}}[/tex]
[tex]z = 0.49[/tex]
Pvalue of the test:
The pvalue of the test is the probability of finding a proportion above 0.52, which is 1 subtracted by the pvalue of z = 0.49.
Looking at the z-table, z = 0.49 has a pvalue of 0.6879.
1 - 0.6879 = 0.3121
The p-value for the one-sided Hypothesis test described in this example is 0.3121.
If you add Natalie’s age and Fred’s age, the result is 41. If you add Fred’s age to 3 times Natalie’s age, the result is 67. Find how old Fred and Natalie are.
Answer:
Natalie is 13 years old, while Fred is 28 years old.
Step-by-step explanation:
Given that if you add Natalie’s age and Fred’s age, the result is 41, and if you add Fred’s age to 3 times Natalie’s age, the result is 67, to find how old Fred and Natalie are, the following calculation must be performed:
N + F = 41
3N + F = 67
(67 - 41) / 2 = N
26/2 = N
13 = N
13 x 3 + F = 67
39 + F = 67
F = 67 - 39
F = 28
28 + 13 = 41
Therefore, Natalie is 13 years old, while Fred is 28 years old.
What was the answer again?
Answer:
21
Step-by-step explanation:
Answer:
huh what are you asking
Step-by-step explanation:
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
11. Explain how to evaluate the expression 9 +(45 x 2) = 10.
The Answer Is 18
Order Of Operation laws says that you must do the parentheses first, 45x2.
45x2=90
The next thing you must do is divide 90 by 10 since division is before addition.
90/10=9
Now combine like terms.
9+9=18
apply the Pythagorean theorem to find the distance between two points (to the nearest tenth). which statements are correct
Answer:
options pls. or any image.......................................
The distance between two points is √29 unit.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, also known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
We have the points (-2, 3) and (3, 1).
Using Distance formula
= √(1-3)² + (3 - (-2))²
= √ (-2)² + (5)²
= √ 4 + 25
= √29 unit
Thus, the distance between two points is √29 unit.
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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.
7 + 6 + 36/7 + 216/49 + ...
If it is convergent, find its sum.
Answer:
- L < 1, so by series ratio test, It is convergent
- sum of the convergent series is 49
Step-by-step explanation:
Given the data in the question;
series = 7 + 6 + 36/7 + 216/49 + .........
⇒ 7 + 7 × 6/7 + 7 × 36/49 + 7 × 216/343 +........
⇒ 7 + 7 × 6/7 + 7 × 6²/7² + 7 × 6³/7³ .....
⇒ 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )
⇒ 7 ∞∑_[tex]_{n=0[/tex] [tex]([/tex] 6/7 [tex])^n[/tex]
⇒ ∞∑_[tex]_{n=0[/tex] ( [tex]6^n[/tex]/[tex]7^{n-1[/tex] )
So, L = [tex]\lim_{n \to \infty} | \frac{a_{n} + 1}{a_n} |[/tex]
= [tex]\lim_{n \to \infty} | \frac{\frac{6^n+1}{7n} }{\frac{6^n}{7^n-1} } |[/tex]
= [tex]\lim_{n \to \infty} | \frac{6}{7} |[/tex]
= 6 /7
L < 1
so by series ratio test,
It is convergent
So we find the sun;
Sum of infinite geometric series is;
⇒ a / (1-r)
here, a = first number and r = common ratio
∑ = 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )
a = 1 and r = 6/7
so
∑ = 7( [tex]\frac{1}{1 - \frac{6}{7} }[/tex] )
= 7( [tex]\frac{1}{\frac{7-6}{7} }[/tex] )
= 7( [tex]\frac{1}{\frac{1}{7} }[/tex] )
= 7( 7 )
= 49
Therefore, sum of the convergent series is 49
The quantity y varies directly with the square of x. If y=24 when x=3, find y when x is 4
Answer:
[tex]y = \frac{384}{9}[/tex]
Step-by-step explanation:
Given
[tex]y\ \alpha\ x^2[/tex] --- direct variation
[tex](x,y) = (3,24)[/tex]
Required
y when x = 4
[tex]y\ \alpha\ x^2[/tex]
Express as an equation
[tex]y = kx^2[/tex]
Substitute: [tex](x,y) = (3,24)[/tex]
[tex]24 = k*3^2[/tex]
[tex]24 = k*9[/tex]
Solve for k
[tex]k = \frac{24}{9}[/tex]
To solve for y when x = 4, we have:
[tex]y = kx^2[/tex]
[tex]y = \frac{24}{9} * 4^2[/tex]
[tex]y = \frac{24}{9} * 16[/tex]
[tex]y = \frac{24 * 16}{9}[/tex]
[tex]y = \frac{384}{9}[/tex]
there is a picture. please help!!!!
Answer:
the answer should be B becaise just multiply and then round up that is what I got good luck
paulina made green paint by mixing blue paint and yellow paint in the ratio 3 : 4. she used 600 milliliters of yellow paint. find the volume of green paint paulina made
lest
Which of the following expressions are equivalent to 4+ (14 – 2)?
tickets to gone with the wind at the classic movie house cost $4.50 for adults and $2 for children. if 45 people attended the staurday matinee showing and t
The adults that attended the showing is 29.
The children that attended the showing is 16
What are the linear equations that represent the question?
$4.50a + $2c = $162.50 equation 1
a + c = 45 equation 2
Where:
a = number of adults tickets sold c = number of children's tickets soldHow many tickets for children and adults were sold?Multiply equation 2 by 2
2a + 2b = 90 equation 3
2.50a = 72.50 equation 3
a = 29
45 - 29 = 16
Subtract equation 3 from equation 1
Here is the complete question:
Tickets to Gone With the Wind, at the Classic Movie House, cost $4.50 for adults and $2 for children. If people attended the Saturday matinee showing and the Classic Movie House sold $162.50 worth of tickets: a.) How many adults attended the showing? b.) How many children attended the showing?
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Help pls show work if needed
Answer: The mode is 12
Step-by-step explanation: It is the most common number in the data set.
The following is a random sample of the annual salaries of high school counselors in the United States. Assuming that the distribution of salaries is approximately normal, construct a 98% confidence interval for the mean salary of high school counselors across the United States. Round to the nearest dollar. $45,860,$38,860,$64,820,$63,480,$36,710,$50,410,$33,080
Solution :
x [tex]$(x-\overline x)$[/tex] [tex]$(x-\overline x)^2$[/tex]
45860 -1742.8571 3037551.0204
38860 -8742.8571 76437551.0204
64820 17217.1429 296430008.1633
63480 15877.1429 252083665.3061
36710 -10892.8571 118654336.7347
50410 2807.1429 7880051.0204
33080 -14522.8571 210913379.5918
333220 0.0000 965436542.8571
Sample size, n = 7
Mean = [tex]$\frac{\sum x}{n}=\frac{333220}{7}$[/tex]
= 47602.8571
Variance = [tex]$\frac{(\sum (x- \overline x))^2}{(n-1)}=\frac{965436542.8571}{7-1}$[/tex]
= 160906090
Standard deviation = [tex]$\sqrt{Variance} = \sqrt{160906090}$[/tex]
= 12684.876
a). df = n - 1
= 7 - 1
= 6
Level of significance, α = 0.02
Critical, [tex]$t_c = 3.143$[/tex]
b). Sample mean, [tex]$\overline x = 47602.8571$[/tex]
Sample standard deviation, s = 12684.876
Sample size, n = 7
c). 98% confidence interval = [tex]$\overline x \pm t_c \times \frac{s}{\sqrt n}$[/tex]
[tex]$=47602.8571 \pm 3.143 \times \frac{12684.876}{\sqrt 7}$[/tex]
[tex]$=(32533.96,62671.76)$[/tex]