Answer:
[tex]z=\frac{931-1131}{\frac{333}{\sqrt{30}}}=-3.290[/tex]
Now we can calculate the p value using the alternative hypothesis:
[tex]p_v =P(z<-3.290)=0.0005[/tex]
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly less than 1131
Step-by-step explanation:
Information given
[tex]\bar X=931[/tex] represent the sample mean
[tex]\sigma=333[/tex] represent the population standard deviation
[tex]n=30[/tex] sample size
[tex]\mu_o =1131[/tex] represent the value to check
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if the true mean is less than 1131, the system of hypothesis would be:
Null hypothesis:[tex]\mu \geq 1131[/tex]
Alternative hypothesis:[tex]\mu <1131[/tex]
The statistic is given by:
[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)
Reaplacing we got:
[tex]z=\frac{931-1131}{\frac{333}{\sqrt{30}}}=-3.290[/tex]
Now we can calculate the p value using the alternative hypothesis:
[tex]p_v =P(z<-3.290)=0.0005[/tex]
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly less than 1131
Mrs. P made a large batch of clay. She gave out all of the clay in equal parts to 6 teachers. Each of those teachers gave out all of the clay they received. They each gave equal parts to 6 teachers. How many students received part of Mrs. P batch of clay?
PLEASE NEED HELP AND STEPS
Answer:
36 student gets the equal amount of Clay by Mrs p
Solve for xxx. Write the smaller solution first, and the larger solution second. Round to two decimal places. (x + 3)^2 - 3 = 0
Answer:
x=-4.73 and -1.26
Step-by-step explanation:
We need to solve the given equation for x.
[tex](x + 3)^2 - 3 =0[/tex]
Solving the above equation using formula (a+b)² =a²+2ab+b²
[tex](x + 3)^2 - 3 =0\\\\x^2+9+6x-3=0\\\\x^2+6x+6=0[/tex]
It is a quadratic equation.
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
We have, a = 1, b = 6 and c = 6
[tex]x=\dfrac{-6\pm \sqrt{(6)^2-4\times 1\times 6} }{2\times 1}\\\\x=\dfrac{-6+\sqrt{(6)^{2}-4\times1\times6}}{2\times1},\dfrac{-6-\sqrt{(6)^{2}-4\times1\times6}}{2\times1}\\\\x=-1.267, -4.73[/tex]
So, the values of x are -4.73 and -1.26
Please help it’s urgent!! Find the sine, cosine and tangent of angle B. Leave answers as reduced fractions.
Answer:
sin(B) = 4/5
cos(B) = 3/5
tan (B) = 4/3
Step-by-step explanation:
soh cah toa
Solve the quadratic equation: x^2+4x+17=8-2x
Answer:
-3
Step-by-step explanation:
Identify all values that are irrational.
-1/3
-3
13
Pi/3
Answer:
pi/3 irrational
Step-by-step explanation:
A rational number is the ratio of two integers
-1/3 is two integers rational
-3 can be written as -3/1 rational
13 can be written as 13/1 rational
pi/3 pi itself is irrational and cannot be written as an integer
Can someone help me with this? (Will give brainliest)
Answer:
In order, 10, 14, (7, 14), (10, 20)
Step-by-step explanation:
The slot for C - Number of Beads is 10
This is because the patern is that it is increasing by 3.
The slot for B - Length of Neclace (cm) is 14
This is because the patern is that it is X2 from the Number of Beads.
The slot for B - Ordered Pairs is (7, 14)
This is because its X value is the according Number of Beads and the Y value is the according Length of Necklace.
The slot for C - Ordered Pairs is (10, 20)
(See the explanation above)
Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When Javier was 15, the account had a total of $1012.50 interest paid on it. How much did Javier's parents set aside when he was born
Answer:
Javier's parents set aside $1500 when he was born
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this question, we have that:
[tex]E = 1012.50, t = 15, I = 0.045[/tex]
We have to find P. So
[tex]E = P*I*t[/tex]
[tex]1012.50 = P*15*0.045[/tex]
[tex]P = \frac{1012.50}{15*0.045}[/tex]
[tex]P = 1500[/tex]
Javier's parents set aside $1500 when he was born
the nth term of a sequence is 8(n+3)
what are the first four terms?
Answer:
32, 40, 48, 56
Step-by-step explanation:
[tex]a_n= 8(n+3)...(given) \\\\ a_1= 8(1+3) = 8 \times 4 = 32 \\ \\ \: a_2= 8(2+3) = 8 \times 5 = 40 \\ \\ a_3= 8(3+3) = 8 \times 6 = 48 \\ \\ a_4= 8(4+3) = 8 \times 7 = 56 \\ [/tex]
Which of the following equations has the same solution as m - (-62) = 45?
1.)25 - x = 8
2.)120 + x = 13
3.)120 - x = 13
4.)x + 25 = 8
Answer:
the answer to this is option 4.
Answer:
4, x = -17
Step-by-step explanation:
You are given f(x)=-5x2+10x-5
A) Express the function in factored form AND determine the vertex
B) Identify the zeros, the axis of symmetry, and the direction of opening
C) State the domain and range
Answer:
B
Step-by-step explanation:
A) The function in factored form is -5(x - 1)² and the vertex is (1, 0).
B) The zeroes are x = 1, the axis of Symmetry is x = 1 and the direction of the opening is downward.
C) The domain of the function is all real numbers and the range is
(-∞, 0].
We have,
A)
Factoring out the common factor (-5):
f(x) = -5(x² - 2x + 1)
The equation x² - 2x + 1 can be factored as (x - 1)(x - 1) or simply (x - 1)²:
f(x) = -5(x - 1)²
The equation of a quadratic function:
f(x) = a(x - h)² + k
In this case,
a = -5, h = 1, and k = 0 (since there is no constant term).
So, the vertex of the function is (h, k) = (1, 0).
B)
To find the zeros of the function, we set f(x) = 0 and solve for x:
-5(x - 1)² = 0
(x - 1)² = 0
Taking the square root of both sides:
x - 1 = 0
x = 1
The axis of symmetry is a vertical line that passes through the vertex of the parabola.
In this case, the axis of symmetry is x = 1.
The direction of the Opening:
Since the coefficient of the x² term is negative (-5), the parabola opens downward.
C)
The domain of the function f(x) is all real numbers since there are no restrictions or limitations on the possible input values of x.
The parabola opens downward and the vertex is at (1, 0), the range of the function is all real numbers less than or equal to 0.
The range can be expressed as (-∞, 0].
Thus,
A) The function in factored form: -5(x - 1)², Vertex: (1, 0).
B) Zeros: x = 1, Axis of Symmetry: x = 1, Direction of Opening: Downward.
C) Domain: All real numbers, Range: (-∞, 0].
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ4
4 1/2 + 2 3/4 + 1.5 + 2.25 + 2 + 2 1/2?
A. 16.25
B. 15
C. 14.5
D. 15.5
Answer:
14.5
Step-by-step explanation:
⇒4[tex]\frac{1}{2}[/tex] + 2[tex]\frac{3}{4}[/tex] + 1.5 + 2.25 + 2 + 2[tex]\frac{1}{2}[/tex]
⇒ 4.5 + 2.75 + 1.5 + 2.25 + 2 + 2.5
⇒ 14.5
Hope this helps!!!
whats the theoretical probability of popping a polka dot balloon? express your answer as a fraction, decimal and percent
solid 15
polka dot 5
striped 17
PLZZ HELP ME DUE TOMORROW
Answer:
5 / 37
Step-by-step explanation:
Solution:-
- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.
- There are three types of balloons clustered together. The distribution of each balloon is given as such:
Type Number
Solid 15
Striped 17
Polka Dot 5
- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.
- Define event ( A ) : The number of Polka dots balloon popped
- Then, the probability of event ( A ) would be defined as:
p ( A ) = [ Number of polka dots balloons available ] / [ Total balloons ]
- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:
p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]
p ( A ) = [ 5 ] / [ 37 ]
- The probabbility that an arrow pops a polka dot balloon is 5 / 37.
Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.
Out of a survey of 49 randomly chosen students 12 said they were going to attend a concert predict the number the number of students who attend the school
Answer:
Option C is correct.
The number of students who attend the school is approximately 980.
Step-by-step explanation:
The complete question is presented in the attached image to this question
It is known that 240 students bought concert tickets. That is, 240 students are attending the concert.
But out of a randomly chosen 49 students, 12 say that they are going for the concert.
Using the sample for a prediction or an approximation, the proportion of total number of students going for the concert = (12/49) = 0.245
Let x be the total number of students that attend the school.
This translates to the fact that
(0.245 × x) = 240
x = (240/0.245)
x = 979.6 = 980 to the nearest whole number.
Hope this Helps!!!
Answer: 613 students.
Step-by-step explanation:
Your question does not include the number of tickets sold as that will enable us to find out the number of students.
For that reason I will assume a number and you will then get a reference on how to solve this question.
Let us assume that 150 tickets were sold.
Now if 12 students out of a sample of 49 said they were going to attend and 150 tickets were sold, that means 150 tickets is the number of students that went from the general population.
This means that 12/49 should give us the same as 150/x with x being the total population of the school.
Solving for x,
12/49 = 150/x
12x = 150 * 49
12x = 7,350
x = 7,350 / 12
x = 612.5
x = 613 students.
Pleaaase helppp i will mark brainly
Answer:
C. x = 6Step-by-step explanation
since we have a right triangle then we can apply the Pythagorean theorem:
x² + 8² =10²
⇒ x² = 10² - 8²
⇒ x² = 36
⇒ x² = 6²
⇒ x = 6 (because x is positive)
Evelynn has a home that was recently appraised for $127,000, and the balance on the existing mortgage is $88,350. If a bank is willing to loan up to 75% of the appraised value, calculate the potential amount of credit available on a home equity loan.
Answer:
$6,900
Step-by-step explanation:
To calculate the potential amount of credit available on the home equity loan, first you have to calculate 75% of the appraised value:
$127,000*75%= $95,250
Then, as Evelynn has an existing mortgage, you have to subtract this amount from $95,250:
$95,250-$88,350= $6,900
According to this, the answer is that the potential amount of credit available on a home equity loan is $6,900.
Which factorization is equivalent to this expression?
30x + 70
Answer 10(3x+7)
Hopes this helps.
Answer:
[tex]10(3x+7)[/tex]
Step-by-step explanation:
we have the expression:
[tex]30x + 70[/tex]
To factor this expression we need to indentify the components that are common in both terms.
At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:
[tex]10*3=30\\10*7=70[/tex]
so we can substitute this into the expression:
[tex]10*3x+10*7[/tex]
and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:
[tex]10(3x+7)[/tex]
Answer:
The Answer is 10(3x+7)
Step-by-step explanation:
(Mark 1) Frequency x+2
(Mark2) Frequency x+1
(Mark3) Frequency x+5
(Mark4) Frequency 2x-5
(Mark5) Frequency x-1
If the average
the to 3 sf
mark is
73 /25Find
a) The variance
b) The Standard deviation
c( Coefficient of Variation
100 points to be given to the correct answer
:
-by-step explanation:
What is a 3 sided polygon with at least two sides the same length??
Answer:
An isosceles triangle
Step-by-step explanation:
An isosceles triangle has 3 sides and has two equivalent sides with the same measure
Answer:
Triangle Isosceles
Step-by-step explanation:
Triangle Isosceles is the 3 sided opygon wich has two sides the same lenght
Can you please help please please help me with this question i will give you a Brainiest
Answer:
They are all even
Step-by-step explanation:
What is the probability of selecting a jack then a 4 from a deck of cards
with replacement?
Answer:
[tex]\frac{4}{663}[/tex]
Step-by-step explanation:
A standard deck without jokers is 52 cards. Selecting a Jack would have a [tex]\frac{1}{13}[/tex] chance.
Then to select a 4 without replacing the Jack you took, you would have a [tex]\frac{4}{51}[/tex] chance.
[tex]\frac{1}{13}*\frac{4}{51}=\frac{4}{663}[/tex]
Answer:
1/169.
Step-by-step explanation:
Prob( a jack) = 4/52 = 1/13
Prob( a 4) = 4/52 = 1/13
Required probability = 1/13 * 1/13
= 1/169.
A customer buys a CD for $15 and a video game. The customer pays a total of $42.80 for the two items, which includes 7% sales tax. Which equation can be used to find x, the cost of the video game before tax?
Answer:
Step-by-step explanation:
Let x represent the cost of the video game before tax.
A customer buys a CD for $15 and a video game. The expression for the total cost of both items before tax is
15 + x
The customer pays a total of $42.80 for the two items. This includes 7% sales tax. The amount of tax paid by the customer for both items would be
7/100 × 42.8 = $2.996
The amount paid for the items before tax would be
42.8 - 2.996 = 39.804
Therefore, the equation that can be used to find x, the cost of the video game before tax is
15 + x = 39.804
Answer:
B
Step-by-step explanation:
7 A polygon has the following coordinates: A(2,-2), B(-4,-4), C(-4,-1), D(-2,3), E(1,3), F(2,5). Find the length of BC. A. 4 units B. 5 units C. 3 units D. 2 units Reset Submit Coordinate Geometry Tools Save Session Questions: 0 of 10 Answered 1 2 3 4 5 6 7 8 9 10 Answered Current Unanswered 6 of 10 Answered Session Timer: 5:33 Session Score: 33% (2/6)
Answer:
B.
Step-by-step explanation:
Well to find BC, you have to know B and C
B = (-4, 4)
C = (-4, -1)
The distance is:
√(4 + 1)^2 + (-4 + 4)^2
√25
5
Answer:
5 units
Step-by-step explanation:
What you know about rollin' down in the deep?
When your brain goes numb, you can call that mental freeze
When these people talk too much, put that poop in slow motion, yeah
I feel like an astronaut in the ocean, ayy
You randomly draw a marble out of a bag that contains 202020 total marbles. 121212 of the marbles in the bag are blue. What is \text{P(draw a blue marble})P(draw a blue marble)start text, P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, end text, right parenthesis? If necessary, round your answer to 222 decimal places.
Answer:
0.60Step-by-step explanation:
Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;
Probability = Expected outcome of event/total outcome of event
If a bag contains 20 total marbles, then the total outcome of event is 20.
If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.
Probability of drawing a blue marble P(draw a blue marble)= 12/20
= 0.60 (to 2dp)
The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.
What is the sum of net exports for Germany and China ?
a.
-80 billion dollars
c.
90 billion dollars
b.
180 billion dollars
d.
150 billion dollars
Answer:
d.) 150 billion dollars
Step-by-step explanation:
As per the given bar graph, we can draw the following conclusions:
Net exports for United States = ~ -110 Billion Dollars (It means import of 110 Billion Dollars)
Net exports for Denmark = ~ -30 Billion Dollars (It means import of 30 Billion Dollars)
Net exports for China = ~ 115 Billion Dollars
Net exports for Germany = ~ 35 Billion Dollars
We have to find the sum of net exports of Germany and China:
[tex]\Rightarrow[/tex] 35 + 115 = 150 Billion Dollars.
Hence, correct answer is d. 150 Billion Dollars.
Answer: d
Step-by-step explanation:
150 billion dollars
x²-5x divided by 2
= 0
Answer:
x = 10, x = 0
I dont know if you wanted an answer but yeah-
What is x? I really dont get it please help
25
Vertical angles are congruent/equal :
Answer:
25°
Step-by-step explanation:
Because its equal to the angle across it.
The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store sells plastic plates in packages of fteen for ve dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?
The question is incomplete:
The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?
Answer:
-The Webster family needs to buy 7 packages.
-The cost of the plates is $41.93.
Step-by-step explanation:
To calculate amount of packages that the Webster family need to buy, you have to divide the amount of people by the number of plates in each package:
100/15= 6.66
According to this, as they will need more than 6 packages, the Webster family needs to buy 7 packages to have one plastic plate for each person at the barbecue.
Then, the cost of the plates for the barbecue would be calculated by multiplying the price of each package for the number of packages needed:
$5.99*7= $41.93
The cost of the plates is $41.93.
Please answer question on attached sheet! x
Answer:
=7
Step-by-step explanation:
use Pythagorean.
7,24 ,25
Answer:
x=7
Step-by-step explanation:
we use physagorian law
b²+x²=a²
x²=a²-b²
25²-24²=x²
x²=49
x=7
VOLUME of Rectangle !!
Fill in the blanks -------
1. Length is 6.0, Width is 3.2, HEIGHT ?? ( ANSWER ) total volume 96 cm .
FIND THE HEIGHT HERE !!
2.LENGTH ?? ( ANSWER ) width is 2.0, height 1.1 total volume 22 cm .
FIND THE LENGTH HERE !!
3. length is 12.0, WIDTH ?? ( ANSWER ), Height is 4.0 and the total volume is 120 cm.
FIND THE WIDTH HERE !!
PLEASE....HELP !!! WRITE PROPERLY PLEASE... CORRECT ANSWER PLSS...
Answer:
see below
Step-by-step explanation:
V = l*w*h
1. V = l*w*h
96 = 6*3.2 h
96 = 19.2h
Divide each side by 19.2
96/19.2 =h
h = 5
2. V = l*w*h
22 = l*2 *1.1
22 = 2.2l
Divide each side by 2.2
22/2.2 =l
10 = l
3. V = l*w*h
120 = 12*w *4
120 = 48w
Divide each side by 48
120/48 = w
w =2.5
Explain how would you find 4% sales tax on a pair of sneakers that cost 54.99. You don't have to calculate it. Just explain how you would find it.
Answer:
2.2
Step-by-step explanation:
4% of 54.99 = 0.04*54.99