Answer:
The answer to this question is C. 40.274.
64% of students will apply for graduate school. from a sample of 100 students, 52 stating that they will apply for grad school. for alpha=.01 you ___ hypothesis
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%.
For more on the use of the z-distribution for hypothesis tests, you can check https://brainly.com/question/25584945
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a 5.
Give your answer as a fraction in its simplest form.
Answer:
1/5
Explanation:
There are five choices in the spinner. One of the choices is labeled '5'. That means you will have one out of the 5 choices to get the choice labeled '5'.
Good day :)
If two lines are perpendicular, their slopes are negative reciprocals.
A. True
B.False
please help picture included:)
Answer:
y = 75
z = 43.3
Step-by-step explanation:
To find the value of y we use the trigonometric identity Sine.
[tex]sin\ 30 = \frac{y}{150}\\\\y=150*sin30\\y= 75\\[/tex]
Now to find the value of z we can use the trigonometric identity Tangent.
[tex]tan\ 60=\frac{y}{z}\\\\z=\frac{y}{tan\ 60}[/tex]
We know the value of y is 75 so it becomes,
[tex]z=\frac{75}{1.732} \\\\z=43.3[/tex]
Answer:
y=-150 ' z = - 468
Step-by-step explanation:
Sin angle = opp/hyp
Cos 30 = y/150
y = 150 ×( cos30)
y= - 150
Tan angles = opp / adj
Tan 60 = - 150 / Z
Z = (-150) / tan 60
Z = (-150) / 0.32
Z= - 468
What is the slope of a line perpendicular to the line whose equation is 3x+y=-5 Fully reduce your answer.
Answer:
The answer is 1/3
Step-by-step explanation:
through: (-5, 4), parallel to y=--x+4
Answer:
y=-x-1
Step-by-step explanation:
1.) equation of line in slope-intercept form: y=4-x
2.) parallel of line is same as: m=-1
3.) equation of parallel line is: y=-x+b
4.) finding b: 4=(−1)⋅(−5)+b
b=-1
5.) therefore, equation is y=-x-1
y=-3x2 + 18x + 10?
What is the axis of symmetry
Answer:
x = 3
Step-by-step explanation:
The formula for the axis of symmetry is x = -b/[2a]. Here, a = -3 and b = 18.
-18
Thus, the axis of symmetry is x = - ------------ = 3, or x = 3
2[-3]
The Ferris wheel is the most popular ride. In 1 hour, the Ferris wheel had 240 riders. If that was 60% of the total number of riders, then how many riders did the Ferris wheel have?!!PLEASE ANSWER!!
Answer:
400 riders
Step-by-step explanation:
The Ferris wheel had 400 riders.
400*0.60=240.
Answer:
Y = 144
Step-by-step explanation:
60 times = 14400
14400 = y times 100
Find the value of the power 6 to the -4th
Answer:
6 to the -4th is 7.716 x 10^-4
Step-by-step explanation:
If 16g if a radioactive substance are present initially and 5yr later only 8g remain how much substance will be present after 9yr
9514 1404 393
Answer:
4.59 g
Step-by-step explanation:
The half-life is given as 5 years, so the amount remaining after 9 years will be ...
remaining = initial × (1/2)^(t/(half-life))
remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g
About 4.59 g of the substance will remain after 9 years.
Could someone help me
Answer:
its the last one
because the rest of them are wrong
3 inches
1.5 inches
1.5 inches
Answer:
6 inches
Step-by-step explanation:
ASAP please help me I need this quick
The question and answers are in the picture
Answer:
25
Step-by-step explanation:
maybe this will help you
Answer:
C. 125 cm^3
Step-by-step explanation:
Hope this helps!! Brainliest please :)
Using the table below,which statement best describes whether or not the relationship identifies a function?
Answer: I'm pretty sure the correct answer is (B) Let me know if i'm correct!
Step-by-step explanation:
Solve the system by substitution. y = 8x + 32 Y= -8x
someone help me please i don’t understand
Answer:
i need points lol .
Step-by-step explanation:
i need points :( i hope you find your answer i guess
A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. Compute a 95% confidence interval for the true proportion
Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Step-by-step explanation:
Let p = True proportion of people rent their residence.
Given: n= 500
People rent their residence = 260
[tex]p=\dfrac{260}{500}=0.52[/tex]
z-value for 95% confidence level = 1.96
A 95% confidence interval for the true proportion will be :
[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]
A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Pran ran 29 miles less than Robin last week. Pran ran 19 miles. How many
miles did Robin run?
It takes Andre 4 minutes to swim 5 laps. a.How many laps per minute is that?
Answer:
1.25 laps per minute
Step-by-step explanation:
19 X 6 fill in the blanks
Which proportion would be used to solve the following problem. The proportion of turtles to alligators at the reptile park is 5:9. Since Beth
counted 45 turtles, how many alligators are there?
Answer:
25 I think not sure
Step-by-step explanation:
What is zw?
need help asapppppp
Answer:
2nd one
Step-by-step explanation:
Suppose y varies directly with x. When x is 2, y is 20. What is x when y is 50
Answer:
5
Step-by-step explanation:
x = 2 >>> (Multiply by 10) >>> y = 20
x = ? >>> (Multiply by 10) >>> y = 50
50 ÷ 10 = 5
x = 5 when y is 50
3.) Jimena used her calculator to divide 2 by 13.
The calculator screen shows the number: 0.1538461.
Round Jimena's answer to the nearest tenth. =
Answer: 0.2
Step-by-step explanation:
Solve for x.
0 ≤ 3x – 6 ≤ 18
Answer:
Inequality form: 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8
Interval Notation: [2,8]
Step-by-step explanation:
A police department reported that approximately 5% of the alarm calls they get each day are real emergencies and not false alarms. If they receive 120 alarm calls in one day, about how many of them would be false alarms?
Answer:
6
Step-by-step explanation:
5% of 120 is 6.
Well, if 5% of them are real, that means 95% of the calls they get each day are false alarms.
If we set up our inequality and multiply (Which i'm assuming you know how to do) We would get 114. Therefore, 114 calls would be false alarms.
A trade-in is most closely related to which of the following?
a.
A down payment, because it reduces the amount financed.
b.
An interest payment, because it represents value given to the dealer.
c.
The list price, because it is derived from the price of a car.
d.
Amortization, because it is a way of paying for car financing.
Answer:c.
The list price, because it is derived from the price of a car.
Step-by-step explanation:
Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.) ANSWER C
Answer: A. A down payment, because it reduces the amount financed.
Step-by-step explanation: I just took the quiz and got a 100%. Edge 2021
How many solutions does the equation 3x + 6 = −1 − 3 + 4x have? (5 points)
Two
None
One
Infinitely many
Answer:
The equation has only one solution which is:
[tex]x = 10[/tex]Step-by-step explanation:
Given the equation
[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]
Let us solve the equation to determine the type of the equation
[tex]3x\:+\:6\:=\:-1\:-\:3\:+\:4x[/tex]
subtract the number: -1 - 3 = -4
[tex]3x+6=4x-4[/tex]
subtract 6 from both sides
[tex]3x+6-6=4x-4-6[/tex]
[tex]3x=4x-10[/tex]
subtract 4x from both sides
[tex]3x-4x=4x-10-4x[/tex]
[tex]-x=-10[/tex]
Divide both sides y -1
[tex]\frac{-x}{-1}=\frac{-10}{-1}[/tex]
[tex]x=10[/tex]
Therefore, the equation has only one solution which is:
[tex]x = 10[/tex]Answer:
C one
Step-by-step explanation:
I toolk the test
A TV store buys TV's for $250 each, and then increases the price by 120%. What is the sales price of a TV at this store?
Answer:
$300
Step-by-step explanation:
Answer:
$300
Step-by-step explanation:
250 100
? 120
(250x120)/100
Geometry homework. Please help.
Answer: Sure
Step-by-step explanation:
Step-by-step explanation:
✬ Radius = 2.5 cm ✬
Step-by-step explanation:
Given:
Radius of spherical ball is 3 cm.
Radii of new spherical balls are 1.5 cm and 2 cm.
To Find:
Radius of third spherical ball ?
Solution : Let the radius of third spherical ball be x cm.
If something is melted and recasted into another thing then their volumes will be equal. In short
Volume of 1st thing = Volume of second one.
➯ Let's see here
Volume of big spherical ball will be equal to the sum of volumes of that three small spherical balls.
As we know that
★ Volume of Sphere = 4/3πr³ ★
[ Taking big spherical ball ]
Radius = 3 cm
⟹ Volume = 4/3 × π × (3)³
⟹ 4π/3 × 27
Volume we got = 4π/3 × 27 cm³
[ Taking 3 small spherical balls ]
Radius of first ball (r¹) = 1.5 cm
For second (R) = 2 cm
For third (x) = x cm
Volume = 4/3 × π( sum cubes of radii)
⟹ Volume = 4/3 × π(1.5³ + 2³ + r³)
⟹ 4π/3 (3.375 + 8 + x³)
⟹ 4π/3 ( 11.375 + x³)
Volume we got = 4π/3 (11.375 + x³) cm³
A/q
First volume = Second volume
➮ 4π/3 × 27 = 4π/3 (11.375 + x³)
➮ 27 = 11.375 + x³
➮ 27 – 11.375 = x³
➮ 15.625 = x³
➮ 15625/1000 = x³
➮ 3125/200 = 625/40 = 125/8 = x³
➮ ³√125/8 = x³
➮ 5/2 = x²
➮ 2.5 cm = x
Hence, the measure of radius of third spherical ball is 2.5 cm.