Answer:
Step-by-step explanation:
H0: μ1____ μ2For Q17(circle one: equal to, less than or equal to, greater than or equal to, not equal to )
H1 : μ1____ μ2For Q18(circle one: equal to, less than, greater than, not equal to )
Formula for calculating the the test:
t = [ (x₁ - x₂) - d ] / sqrt[(s₁²/n₁) + (s₂²/n₂)]
where x₁ = 37.6, x₂ = 39.3, d = 0 assuming equality = 37.6 - 39.3 = -1.7
s₁² = 4.92 = 24.01, s₂² = 2.72 = 7.29, n₁ = 50, n₂ = 58.
thus, t = [ (-1.7) - (0)] / √(24.01/50) + (7.29/58)
t = (-1.7) / (0.4802 + 0.1257)
t = -1.7 / 0.6059
t = -2.8057. = -2.81
P value:
Lets find the degree of freedom:
DF = (s₁²/n₁ + s₂²/n₂)² / { [ (s₁² / n₁)² / (n₁ - 1) ] + [ (s₂² / n₂)² / (n₂ - 1) ] }
DF = (24.01/50 + 7.29/58)² / {[(24.01 / 50)² / 50-1)] + (7.29/58)² / 58-1)]}
DF = (0.4802 + 0.1257)² /{[ (0.4802)²/49] + (0.1257)²/57)]}
DF = (0.6059)²/ (0.00471 + 0.00028)
DF = 0.3671 / 0.00499 = 75.37
Thus, P value = 0.9968 using a t distribution calculator.
Decision/Conclusion: Since the P value 0.9968 is greater than α (.05), Fail to Reject H0, There is not sufficient evidence to warrant the rejection of the claim.
Factor completely: x^2 - 5x - 6
Answer:
x×x-5x-6
x × -4X - 6
Step-by-step explanation:
x×x-5x-6
x × -4X - 6
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet
and the volume of each large box is 22 cubic feet. A total of 22 boxes of paper were
shipped with a combined volume of 324 cubic feet. Write a system of equations that
could be used to determine the number of small boxes shipped and the number of
large boxes shipped. Define the variables that you use to write the system.
Answer:
Small Boxes: 10
Large boxes: 12
Step-by-step explanation:
Solve for p. 6p-2(p+4)=12
Answer:
p=5
Step-by-step explanation:
please mark brainliest
What type of number is 12/3?
Choose all the answers that apply.
A.whole number
B.integer
C.rational
D.irrational
6th grade math :) ...
Answer:
Question 1) $0.08 per oz
Question 2) $0.09 per oz
Step-by-step explanation:
You have to divide the price by how many ounces there are.
$1.92 / 24 = $0.08
$1.35 / 15 = $0.09
Answer:
0.08.
0.09
Step-by-step explanation:
Look at this triangle.
B
8 cm
A
22 cm
С
Work out length AB.
Answer:
23,41 cm (if it's a square triangle)
Step-by-step explanation:
a²+b² = c²
22²+8² = c²
√548 = √c²
23,41 = c
which products result in a difference of of squares? check all that apply.
Answer:
B, D
Step-by-step explanation:
The product of a sum and a difference results in a difference of squares.
The product must be of the form (a + b)(a - b) to work.
Answer: B, D
Answer:
(w-2.5)(w+2.5) And (-4v-9)(-4v+9)
Step-by-step explanation:
E2020
Please help with this magic square
Answer:
-0.06 left-middle
0.28 right-middle
0.03 right-top
0.1 middle-top
0.12 middle-bottom
Step-by-step explanation:
column-row
what is the diameter of this circle?
Answer: 7
Step-by-step explanation: whhhhyyyy
Answer:
the answer is attached to the picture
Anyone plzzz this is due in an hour!!!! Will mark the brainliest
Answer:
C. Rectangle
Step-by-step explanation:
It will result in to a rectangle
write (2b^2)^3 without exponents.
Answer:
64 * b * b * b * b * b * b
Step-by-step explanation:
Apply exponent to number first, then expand the variable's exponent into repeated multiplication.
An exponent is a symbol that is written above and to the right of a mathematical expression to indicate the operation of raising a power.
The value of (2b²)³ without the exponents is 8 x b x b x b x b x b x b.
What is an exponent?A symbol that is written above and to the right of a mathematical expression to indicate the operation of raising to a power.
a², b³
a and b are base.
2 and 3 are exponents.
We have,
(2b²)³
This can be written as:
= 2³ x [tex]b^{2\times3}[/tex]
[ 2 x 2 x 2 = 2³ = 8 ], [ a². a³ = [tex]a^{2\times3}[/tex] ] and [ (a²)³ = [tex]a^{2\times3}[/tex] ]
= 8 x [tex]b^{6}[/tex]
Since we have to write without the exponents we have,
= 8 x b x b x b x b x b x b
Thus the value of (2b²)³ without the exponents is 8 x b x b x b x b x b x b.
Learn more about exponents here:
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It is well documented that active maternal smoking during pregnancy is associated with​ lower-birth-weight babies. Researchers wanted to determine if there is a relationship between paternal smoking habits and birth weight. The researchers administered a questionnaire to each parent of newborn infants. One question asked whether the individual smoked regularly. Because the survey was administered within 15 days of​ birth, it was assumed that any regular smokers were also regular smokers during pregnancy. Birth weights for the babies​ (in grams) of nonsmoking mothers were obtained and divided into two​ groups, nonsmoking fathers and smoking fathers. The accompanying data are representative of the data collected by the researchers. The researchers concluded that the birth weight of babies whose father smoked was less than the birth weight of babies whose father did not smoke.
Nonsmokers Smokers
4194 3522 3454 3998 3455 3066
3062 3771 3783 3150 2986 2918
3544 3746 4019 4216 3502 3457
4054 3518 3884 3493 3255 3234
4248 3719 3668 2860 3282 2746
3128 3290 3423 3686 2851 3145
3471 4354 3544 3807 3548 4104
3994 2976 4067 3963 3892 2768
3732 3823 3302 3769 3509 3629
3436 3976 3263 4131 3129 4263
a. Is this an observational study or a designed experiment? Why?
b. What is the explanatory variable? What is the response variable?
c. Can you think of any lurking variables that may affect the results of the study?
d. In the article, the researchers stated that "birthweights were adjusted for possible confounders …." What does this mean?
e. Determine summary statistics (mean, median, standard deviation, quartiles) for each group.
f. Interpret the first quartile for both the nonsmoker and smoker group.
g. Draw a side-by-side boxplot of the data. Does the side-by-side boxplot confirm the conclusions of the study?
Answer:
b. Use an AD/AS diagram to show how a decrease in the inflation target can keep inflation and short-run output from starting to rise in 2021. Explain your diagram and what it reveals about monetary policy.
Answer:
938583
Step-by-step explanation:
A square has an area of 16 square millimeters. What is the length of each side of the square?
2mm
8mm
12mm
4mm
NEED ASAP
Answer:
4mm.
Step-by-step explanation:
Area of a Square is: [tex]A=s^2[/tex]
's' -side length
We are given the area of 16 square mm.
[tex]16=s^2\\\sqrt{16} =\sqrt{s^2}\\\boxed {4=s}[/tex]
The length of each side of the square is 4mm.
Answer:
4 mm
Step-by-step explanation:
Hope this helps
the diagram shows a sector of circle radius 10 cm find the area of the sector to one decimal place
Answer:
314 cm²
Step-by-step explanation:
Area of a circle is A= πr²
pi is 3.14 and radius is 10:
A= 3.14(10)²
A= 314
Sam buys 4 boxes of the Crispy Crunch Cereal at Store A. What
fraction of the original price of each box of cereal does he pay per
box? Enter your answer and explanation in the box.
B 1 u
X, Ω
Store Discounts
Sam shops at three stores and each store is having its own
sale as described below.
Store A Crispy Crunch Cereal: Buy 3 boxes, get 4th free!
Store B: Take off the original price of one item!
Store C: Mystery Discount! Percent off your total purchase will
be revealed at the register!
Answer: 3/4 of the original price.
Step-by-step explanation:
Ok, so Sam buys 4 boxes in Store A.
We know that in Store A you can get 4 boxes paying only for 3.
If P is the price of a Box, then he got 4 boxes and paid 3*P
then the amount that he paid for each box is equal to the total amount that he paid divided the number of boxes that he received.
this is: 3P/4 = (3/4)*P
Meaning that he paid 3/4 of the original price for each box.
A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water
is 4.75 feet. The equation 4.75 = x+(-0.25) can be used to find x, the original height of the water in a pool.
What was the original height of the water in the pool in feet?
4.5
Answer:
5 feet
Step-by-step explanation:
Add 0.25 to both sides of the equation:
4.75 +0.25 = x - 0.25 +0.25
5.00 = x
The original height of the water in the pool was 5.00 feet.
Answer:
5 feet
hope this helps
A club consisting of 6 juniors and 8 seniors is to be formed from a group of 13 juniors and 16 seniors. How many different clubs can be formed from the group?
Answer: 22,084,920 different clubs
Step-by-step explanation:
The club must have 6 juniors and 8 seniors
We have a total of 13 juniors and 16 seniors.
Now, we know that the possible combinations of N objects into a group of K is equal to:
[tex]C = \frac{N!}{(N-K)!*K!}[/tex]
For the juniors we have N = 13 and K = 6
[tex]Cj = \frac{13!}{7!*6!} = \frac{13*12*11*10*9*8}{6*5*4*3*2*1} = 1716[/tex]
For the seniors we have N = 16 and K = 8
[tex]Cs = \frac{16!}{8!8!} = \frac{16*15*14*13*12*11*10*9}{8*7*6*5*4*3*2*1} = 12870[/tex]
Now, as the group consist on both combinations togheter, the number of different clubs that can be formed are:
C = Cj*Cs = 1,716*12,870 = 22,084,920
Plz help will give brainliest
A crystal ball has a radius of 4 inches. What is the approximate volume of the crystal ball? Use 3.14 for Pi. Round to the nearest tenth.
Recall the formula Sphere Volume = four-thirds pi r cubed.
50.2 cubic inches
67.0 cubic inches
267.9 cubic inches
2,143.6 cubic inches
Answer:
Hi there!
To find the volume of the ball, we should follow this formula:
4/3*pi*r^3
Since the radius is 4, we can just plug the value in:
4/3*3.14*4^3
= 267.946667
Round to the nearest tenth:
= 267.9
Your answer is 267.9.
Hope this helps!
Answer: c
Step-by-step explanation:
The circumference of a circle is 20 cm. What is the approximate radius of the circle?
Answer:
The solution is attached here. Hope it helps ☺️
Answer:
[tex]r = 3.18cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
³d what is the anwser
Answer:
75%
Step-by-step explanation:
48 of 64 times 100
48/64 × 100
0.75 × 100
75
So 75% of the bottle of orange juice is water
Hope this helps!!
What’s the length of the apothem in this pentagon if all sides are 10in?
Answer:
10 inches
Step-by-step explanation:
It is 10 inches as you have chosen because the length from the midpoint to a side or the apothem is the length of one side. As given, a side length is 10 inches so, the length of the apothem is 10 inches.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
[tex]5\sqrt{3} inches[/tex]
Step-by-step explanation:
Aaron ate 1/2 of a blueberry pie and 2/3 of an apple pie how much pie did she eat
Answer:
7/6pie. i think
Step-by-step explanation:
1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 1/6
Answer:
1 and 1/6
Step-by-step explanation:
1/2 + 2/3 = 3/6 +4/6= 1 1/6
Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?
Answer:
{6-√21, 6+√21}
Step-by-step explanation:
It usually works well to put the x-terms on one side of the equal sign. Then add the square of half the x-term coefficient.
x^2 -12x = -15 . . . . . . subtract 12x
The x-term coefficient is -12, so the square of half that is (-12/2)^2 = 36. Adding 36, we have ...
x^2 -12x +36 = -15 +36
(x -6)^2 = 21
x -6 = ±√21 . . . . . take the square root
x = 6 ±√21 . . . . . add 6
The solution set is ...
{6-√21, 6+√21}
A car is running at a velocity of 50 miles per hour and the driver accelerates the car by 10 miles/hr2. How far the car travels from this point in the next 2 hours, if the acceleration is constant.pls answer quick using algebraic identity.fastest will mark brainliest
Answer:
s=50*2+1/2*10*2^2=100+20=120 miles
The car travels 120 miles from this point in the next 2 hours, if the acceleration is constant.
What are equations of motion?There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.
They are listed below as:
[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]
where, the symbols have following meanings:
u = initial velocity of the considered object
v = final velocity of the object
a = acceleration of the object
s = distance traveled by the object in 't' time.
Given; A car is running at a velocity of 50 miles per hour and the driver accelerates the car by 10 miles/hr2.
We are asked that how far the car travels from this point in the next 2 hours, if the acceleration is constant.
s = 50*2 + 1/2*10*2^2
s = 100+20
s = 120 miles
Therefore, the car travels 120 miles from this point in the next 2 hours, if the acceleration is constant.
Learn more about equation of motion here:
https://brainly.com/question/5955789
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Hans deposits $6000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 4 years?
Answer:
Hans deposits $6000 into an account.
=> Principal P = 6000
Simple interest rate 5% per year.
=> Rate R = 5% = 5/100 = 0.05
The formula to calculate the amount of interest after 4 years:
A = P x R x years = 6000 x (5/100) x 4 = 1200$
Hope this helps!
:)
Larry graphs the inequality x less-than negative 5 using the steps below. Step 1: Draw a number line, and place an open circle at –5. A number line going from negative 10 to 0. An open circle is at negative 5. Step 2: Shade to the left of –5 to represent less than –5. A number line going from negative 10 to 0. An open circle is at negative 5. Everything to the left of the circle is shaded. Step 3: Check work by substitution. x = negative 5 Negative 5 less-than negative 5 False Larry concludes that he must have shaded the number line in the wrong direction. Which best describes the situation? Larry’s graph is incorrect. He should have used a closed circle at –5. Larry’s graph is incorrect. He should have shaded to the right of –5 because the numbers less than –5 are to the right of –5. Larry’s graph is correct. He should have checked his work using a number to the left of –5. Larry’s graph is correct. He should have checked his work using a number to the right of –5.
Answer:
Larry’s graph is incorrect.He should used a closed circle at -5
Step-by-step explanation:
Answer:
A)Larry’s graph is incorrect. He should have used a closed circle at –5.
Step-by-step explanation:
is the origin Located at the point (1,1)
Answer:
No, the origin is Located at (0,0)
Answer:
no
Step-by-step explanation:
The origin is located at the center of a graph, at (0, 0)
2. The National Safety Council routinely analyzes the benefit of seat belt use on driver safety. Their data showed that among 2823 drivers not wearing seat belts, 31 died as a result of injuries, and among 7765 drivers wearing seat belts 16 were killed. Test the hypothesis (at 95% confidence) that there is no difference in the proportion of deaths between the 2 groups. What do you conclude? Calculate the margin of error (E) at 95%.
Answer:
We conclude that there is difference in the proportion of deaths between the 2 groups.
Step-by-step explanation:
We are given that among 2823 drivers not wearing seat belts, 31 died as a result of injuries, and among 7765 drivers wearing seat belts 16 were killed.
Let [tex]p_1[/tex] = proportion of deaths when drivers were not wearing seat belts.
[tex]p_2[/tex] = proportion of deaths when drivers were wearing seat belts.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1=p_2[/tex] {means that there is no difference in the proportion of deaths between the 2 groups}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1\neq p_2[/tex] {means that there is difference in the proportion of deaths between the 2 groups}
The test statistics that would be used here Two-sample z test for proportions;
T.S. = [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] ~ N(0,1)
where, [tex]\hat p_1[/tex] = sample proportion of deaths when drivers were not wearing seat belts = [tex]\frac{31}{2823}[/tex] = 0.011
[tex]\hat p_2[/tex] = sample proportion of deaths when drivers were wearing seat belts = [tex]\frac{16}{7765}[/tex] = 0.002
[tex]n_1[/tex] = sample of drivers not wearing seat belts = 2823
[tex]n_2[/tex] = sample of drivers wearing seat belts = 7765
So, the test statistics = [tex]\frac{(0.011-0.002)-(0)}{\sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} } }[/tex]
= 4.438
The value of z test statistics is 4.438.
Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.
Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that there is difference in the proportion of deaths between the 2 groups.
Also, Margin of error (E) = [tex]1.96 \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }[/tex]
= [tex]1.96 \times \sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} }[/tex]
= 0.00397
Ayuda porfa, es urgente
La siguiente tabla muestra la estatura de los estudiantes de noveno año de educación básica.
Con esos datos complete la tabla y determine los valores de las medidas de tendencia central.
160,160,160,161,162,163,164,165,165,165,165,166,167,167,167,167,168,168,168,169,170, 170, 170,171,173,173,173,175,175,176.
Answer:
Media: 167.88 cm
Mediana: 167.6 cm
Modo: 166.67 cm
Step-by-step explanation:
Hola!
La variable de interés es:
X: estatura de un alumno de noveno año de educación básica.
1)
Primero debes ordenar los datos de menor a mayor y contar cuantos de ellos corresponden dentro de cada intervalo determinado, por ejemplo, el primer intervalo es:
[160;164)
Los intervalos están definidos con el límite inferior cerrado, es decir que incluye el valor de dicho límite, y el límite inferior abierto, es decir, que ese valor no está incluido en el intervalo.
160,160,160,161,162,163,164,165,165,165,165,166,167,167,167,167,168,168,168,169,170, 170, 170,171,173,173,173,175,175,176.
f(1)= 6 (seis valores de estatura corresponden a este intervalo)
La sumatoria de todas las frecuencias absolutas debe dar por resultado el total de observaciones n= 30
Para el segundo intervalo [164;168)
f(2)= 10
2)
hi representa la frecuencia relativa simple y esta se calcula como fi/n
Por ejemplo para el primer intervalo:
h(1)= f(1)/n= 6/30= 0.20
Esta indica la proporción de que las alturas estén entre 160 y 164 cm.
En porcentaje se expresa como hi*100, para el primer intervalo: 0.20*100)= 20%
Para el segundo intervalo h(2)= f(2)/n= 10/30= 0.33 y su porcentaje es 33%
Como indican la proporción de cada categoría de la distribución, la sumatoria de las frecuencias relativas simples de todas las categorías debe ser 1.
3)
Como lo dice su nombre, esta frecuencia es acumulada y se calcula como la sumatoria de las frecuencias absolutas simples, para el primer intervalo, dado que previo a él no hay "nada" es igual a la frecuencia absoluta simple:
F(1)= f(1)
Para el segundo intervalo, es la frecuencia absoluta simple del primer intervalo más la frecuencia relativa simple del segundo intervalo:
F(2)= f(1) + f(2)= 6 + 10= 16
4)
Esta frecuencia también representa la sumatoria de las frecuencias relativas simples.
H(1)= h(1)= 0.20 como previo al primer intervalo no existe distribución definida, la frecuencia relativa acumulada es igual a la frecuencia relativa simple.
Para el segundo intervalo la frecuencia relativa acumulada es:
H(2)= h(1)+h(2)?= 0.20+0.33= 0.57
Adjunta a la respuesta encontrarás la tabla completa.
5)
Como no específica medidas de tendencia central requeridas, voy a calcular la media, mediana y modo utilizando la tabla.
Media
X[barra]= (∑x'fi)/n= ∑x'*hi
Dónde x' representa la marca de clase de cada intervalo. Para calcular la marca de clase de los intervalos debes realizar un promedio entre sus límites y su valor siempre debe encontrarse dentro de los límites del intervalo. Si no es así, has cometido un error de cálculos:
(Limite inferior + Limite superior)/2
1. [160;164) x₁'= (160+164)/2= 162
2. [164;168) x₂'= 166
3. [168;172) x₃'= 170
4. [172;176) x₄'= 174
Una vez que calculaste las marcas de clase, puedes calcular la media:
X[barra]= ∑x'*hi= (162*0.20)+(166*0.33)+(170*0.27)+(174*0.20)= 167.88 cm
Mediana:
La mediana es el valor de la variable que divide a la muestra en dos (50%-50%).
Para poder calcularla primero debes identificar su posición, en este tipo de presentación, debes identificar el intervalo en el que se encuentra incluida la mediana.
Para muestras pares, la posición de la mediana se calcula como:
PosMe= n/2= 30/2= 15
Esto significa que la mediana corresponde a la 15va observación de la muestra, observando la columna de las frecuencias absolutas (simples o acumuladas) debes identificar cual es el intervalo de la mediana:
Al segundo intervalo se corresponde una frecuencia acumulada de 16, lo que significa que la posición de la mediana está incluida en este intervalo:
[164;168)
Entonces puedes calcular la mediana como:
[tex]Me= Li + c [\frac{PosMe-F_{(i-1)}}{f_i} ][/tex]
Dónde
Li: es el límite inferior del intervalo de mediana.
c: es la amplitud del intervalo
F₍i₋₁₎: frecuencia absoluta acumulada del intervalo anterior al intervalo mediana
fi: frecuencia absoluta del intervalo mediana
[tex]Me= 164 + 4 [\frac{15-6}{10} ]= 167.6[/tex]
Me= 167.6 cm, como puedes notar, el valor de la mediana se encuentra entre los límites del intervalo.
Modo o Moda:
El modo o la moda de una distribución corresponde al valor más observado, es decir, al valor con mayor frecuencia absoluta simple. Al igual que la media, para calcular el modo primero debes identificar el intervalo que lo contiene. En este caso, el intervalo modal será aquel con la mayor frecuencia absoluta simple.
[164;168)
La fórmula para calcular el modo es:
[tex]Md= Li + c[\frac{(f_{max}-f_{ant})}{(f_{max}-f_{ant})+(f_{max}-f_{post})} ][/tex]
Li: es el límite inferior del intervalo modal
c: es la amplitud del intervalo
[tex]f_{max}[/tex]: es la frecuencia absoluta simple del intervalo modal.
[tex]f_{ant}[/tex]: es la frecuencia absoluta simple del intervalo anterior al intervalo modal.
[tex]f_{post}[/tex]: es la frecuencia absoluta simple del intervalo posterior al intervalo modal.
[tex]Md= 164 + 4[\frac{10-6)}{(10-6)+(10-8)} ]= 164+4[\frac{4}{4+2} ]= 166.67[/tex]
Md= 166.67 cm
¡Espero que tengas un buen día!
What is 100 times 10
Answer:
Your answer will be 1,000
Step-by-step explanation:
One thousand
Hope this helps : )
Answer:
1000
Step-by-step explanation:
Add 100 10 times and you will get 1000