Answer:
you accept the alternative hypothesis
Step-by-step explanation:
The null and alternative hypothesis can be computed as follows:
[tex]H_o: p = 0.64 \\ \\ H_1: p \le 0.64[/tex]
The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{52}{100}[/tex]
[tex]\hat p = 0.52[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}[/tex]
[tex]Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}[/tex]
Z = -2.5
The P-value = 2( Z< -2.5)
From the tables;
The P-value = 2 (0.0062)
The P-value = 0.0124
The significance level = 0.01
Since the P-value is > significance level; we fail to reject the null hypothesis.
Conclusion: we accept the alternative hypothesis
Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.
At the null hypothesis, it is tested if the proportion is of 64%, that is:
[tex]H_0: p = 0.64[/tex]
At the alternative hypothesis, it is tested if the proportion is less than 64%, that is:
[tex]H_1: p < 0.64[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]n = 100, \overline{p} = \frac{52}{100} = 0.52, p = 0.64[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.52 - 0.64}{\sqrt{\frac{0.64(0.36)}{100}}}[/tex]
[tex]z = -2.5[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, using the z-distribution with a significance level of 0.01, is of [tex]z^{\ast} = -2.33[/tex]
Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.
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The sum of 7 and the cube of a number.
Answer:
7+x3
Step-by-step explanation:
Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.
Write the equation of the line that has a slope of 8 and passes through the point (9, -1).
Answer:
Y=8x-9
Step-by-step explanation:
The slope of a line on the coordinate plane can be calculated using any two points on the line and one outside point.
O True
O False
Answer:
true i think
Step-by-step explanation:
In a certain Algebra 2 class of 24 students, 9 of them play basketball and 13 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?
The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.
2+5+4 =11
Expect the 13 people/students who didn't play,
Total people 24
P = 24-13=11
P = 11/24
The probability will be equal to 11/24.
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if f(x) = x^2 + 2, which interval describes the range of this function
The interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).
What is domain and range of function?
Domain of a function is the set of all the possible input values which are valid for that function. Range of a function is the set of all the possible output values which are valid for that function.
The given function is,
[tex]f(x) = x^2 + 2[/tex]
The domain of this function is all real numbers. As the quadratic function has the constant value of 2. The vertex of the function is at 0,-2. Thus, the range of this function is,
[tex]y\in R, y\geq -2[/tex]
Thus, the interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).
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Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?
-1 1/8, -3/4, -1/2, 3/8
-1/2, -3/4, 1 1/8, 3/8
3/8, 1 1/8, -3/4 , -1/2
Answer:
the first one
Step-by-step explanation:
because the negative number is the least, and the positive is the greatest
SOMEONE PLEASEE SOLVE!!
4√-88
Answer:
37.5*i
Step-by-step explanation:
4√88*√-1
4*(9.4)*i
37,7*i
what is the slope of (0,0) , (3,3)
Answer:
The slope is 1
Step-by-step explanation:
[tex]\frac{3-0}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
Help me ASAP plssssssss
Answer:
crackhead
Step-by-step explanation:
he plays to much and needs exercise
Answer:
can you help me with my recent question??? pleaseeee
what is the equation of the line in slope intercept form.
1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140x) – (30x + 1200) represents the profits for one week, where x is the number of products sold. Which statement is true?
a) The slope of the function is 110, and it represents the change in net profit per product sold.
b) The slope of the function is 140, and it represents the initial operating costs of the business
c) The slope of the function is 110, and it represents the initial operating costs of the business.
d) The slope of the function is 140, and it represents the change in net profit per product sold.
Which mapping diagram does not represent a function?
Answer:
A.
Step-by-step explanation:
The definition of a function is that each input has only 1 output. That does not mean that 2 different inputs can not have the same output. A. shows that the number 3 has 2 outputs. My explaining is not that good but trust me.
An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?
Answer:
240
Step-by-step explanation:
Answer:
240 calories
Step-by-step explanation:
3,840 divided by 16 is 240 :)
A random sample of house sizes in major city has a sample mean of 1204.9 square feet and a sample standard deviation of 124.6 square feet. Use the Empirical rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet. Round your answer to the nearest whole number (percent).
Answer:
95% of house sizes lie between 955.7 and 1454.1 square feet.
Step-by-step explanation:
The empirical rule formula states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
In the above question,
Mean (μ)= 1204.9 square feet
Standard deviation (σ) = 124.6 square feet.
We are to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet.
Step 1
We have to find the number of standard deviation from the mean
μ – xσ
1204.9 - 124.6x = 955.7
1204.9 - 955.7 = 124.6x
249.2 = 124.6x
x = 249.2/124.6
x = 2
μ + xσ
1204.9 + 124.6x = 1454.1
124.6x = 1454.1 - 1204.9
124.6x = 249.2
x = 249.2/124.6
x = 2
Therefore from the calculation above, it is 2 standard deviations from the mean, hence: from the empirical formula above,
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ
The results of a survey of 150 students about whether they
own an electronic tablet or a laptop are shown in the two-way
frequency table.
Answer:
its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)
Two way frequency table: Pairs categorical values to list frequencies
Step-by-step explanation:
For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.
Lunch Bevarage
genders Juice. Milk. Water. Total
Girl : 10 13 17 40
Boy: 15 24 21 60
Total: 25 37 38 = 100
christian has six grades from tests and IXL. they are all weighted equally. if christian grades are 100,96,96,88,70 and 100, what is the current average grade (round to the nearest whole number)
Answer:
His average grade would be 91.6... (or 92% if you're rounding up)
Step-by-step explanation:
Add 100, 96, 96, 88, 70, and 100 to get 550, then divide by 6 because there are 6 total grades.
Hi I rlly could use some help with this! I'm not the best at math and I'm rlly struggling with this assignment its a couple questions long! I will give brainiest and 10 given points!
Info:In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
1.The first step in modeling this situation is to track how much money the baseball team will take in. Write an equation to represent the amount of money collected in dollars, y, in terms of the number of cars washed, x. Ignore the setup cost.
2.The equation you wrote in part A accounts for money collected. However, it does not account for the money the baseball team spent to set up the car wash. What do you need to do to the equation in part A to account for the setup cost?
3.Now that you have an idea of how much money the baseball team will collect and how much it will spend, you’re ready to write an equation modeling the situation. Write an equation representing the profit made on the car wash in dollars, y, in terms of the number of cars washed, x, after expenses.
4.You now have an equation to model the finances of the car wash. What is the value of the profit when the baseball team washes 0 cars? What point represents this value? What does the y-value of this point mean in terms of the problem?
5.The baseball team will break even when the amount of money it has received equals the amount of money it spent. In other words, the team breaks even when the profit is equal to zero. How many cars does the baseball team have to wash to break even? What point represents this value? What does the x-value of this point mean in terms of the problem?
Pls help!!!
1. Let y represent the amount of money earned, and x the number of cars they wash. Then
y = 5x
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
y = 5x - 75
4. When x = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for x :
5x - 75 = 0
5x = 75
x = 75/5
x = 15
So the team has to wash at least 15 cars to break even.
Answer:
The setup cost is $75. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A.
Step-by-step explanation:
Ms. cooper goes to Panera Bread for dinner and orders the Green Goddess salad. Her total was $8.79. Ms. cooper gave the cashier $10, how much change did she receive?
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smal number
1. Define the variables: x = smaller number and y = larger number
2. Identify the key words: more than (addition), times (multiplication), is (equals)
3. Write the equations.
Which equation represents a larger number that is 2 more than 4 times a smaller number?
x=2+4y
x=4+2y
x=2+4x
y=4+2x
Which equation represents a larger number that is 8 more than 2 times a smaller number?
x=8+2y
x=2+8y
y=2+8y
y=8+2x
Answer:
ad
Step-by-step explanation:
Answer:
C and D
Step-by-step explanation:
Which expression best estimates
– 184-2į?
O 18-3
-18-3
0-18-(-3)
O 18-(-3)
Find the missing length.
9)
?
5
14
(Click on the picture)
Which of the following best describes the graph of the polynomial function below ?
Answer:
Presumably when they refer to the number of zeros, they're talking about co-ordinates with a y value of zero. In that case, the answer is C, The graph has no zeros.
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Robert wants to make a scarf and matching hat for his sister. The patterns call for 4/6 yard of fabric for the scarf and 1/6 yard of fabric for the hat. How much fabric should robert buy?
5/6 yards
Step-by-step explanation:
[tex] \frac{1}{6} + \frac{4}{6} = \frac{5}{6} [/tex]
Answer:
5/6 yards of fabric
Step-by-step explanation:
4/6 yards + 1/6 yards = 5/6 yards
Before your trip to the mountains your gas tank was 7/9 full. When you returned home, the gas gauge registered 1/3 of a tank. If your gas tank holds 18 gallons did you use to drive to the mountains and then back home?
4200 with a 35%markdown
Answer:
2,730
Step-by-step explanation:
4200 x 0.35 = 1470, 4200 - 1470 = 2730
Answer:
35% markdown of 4200 mean;
4200 - 35% of 4200
= 4300 - 1470 = 2730
Use the figure to find the measure of the angle.Explain your reasoning.
angle2=180-152=28
angle3=28
angle4=152
angle5=152
angle6=28
angle7=28
angle8=152
The values of the marked angles: angle 2, angle 3, angle 4, angle 5, angle 6, angle 7, angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.
What is an angle?When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.
Given, angle 1 = 152°
We know, angle 1 + angle 2 is 180°. (supplementary angles)
Therefore, angle 2 = (180° - 152°) = 28°.
Again, angle 2 = angle 3. (opposite angles)
Therefore, angle 3 = 28°.
Similarly, angle 1 = angle 4
Therefore, angle 4 = 152°.
Now, angle 1 = angle 5 (corresponding angle)
Therefore, angle 5 = 152°.
Now, angle 2 = angle 6 (corresponding angle)
Therefore, angle 6 = 28°.
Now, angle 3 = angle 7 (corresponding angle)
Therefore, angle 7 = 28°.
Now, angle 4 = angle 8 (corresponding angle)
Therefore, angle 8 = 152°.
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Solve for x. Round to the nearest tenth.
Answer:
x = 9.6
Step-by-step explanation:
So how do I graph y=2/5x+3
Which expression is equivalent to 8(x + 2)?
(A was wrong) C 8x + 16
B 8 + x + 8 + 2 D 8x + 10
Boden's account has a principal of $700 and a simple
interest rate of 3.7%. Complete the number line. How much
money will be in the account after 4 years, assuming Boden
does not add or take out any money?
Answer:
823.2
Step-by-step explanation:
Interest = 700 × 4.4/100 × 4 = 123.2
Balance = Principle + interest
700 + 123.2 = 823.2
Answer - 823.2
Hope this helps!!!