Answer:
answer is 8
Step-by-step explanation:
2/3(x+7)=10
2x/3+14/3=10
2x/3=10-14/3==>30-14/3
2x/3=16/3
x=16/3*3/2
x=8
A principle at a certain high school claims that the students in her school are above average in SAT. She collects a random sample of 50 students and given an SAT test that provided with a mean score of 541. Is there sufficient evidence statistically to support the principal’s claim? The mean population SAT score is 500 with a standard deviation of 100. SAT scores are normally distributed. Please show all the steps involved in a hypothesis testing including proper statistical symbols, formula used, and report/interpret results in complete sentences.
Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.
At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:
[tex]H_0: \mu \leq 500[/tex]
At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:
[tex]H_1: \mu > 500[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]
[tex]z = 2.9[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with the standard 0.05 significance level, is of [tex]z^{\ast} = 1.645[/tex].
Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.
A similar problem is given at https://brainly.com/question/25728144
A line passes through the point (-2, -6) and has a slope of
2
No
Write an equation in slope-intercept form for this line.
Find the slope of a line paprallel to the line below
Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearly simple interest rate of 1.82%
Marissa wants to know how much she would make using the simple interest calculation.
She will have $4,432.35
Given data
Principal = $3,900
Time = 7 years 6 months = 7.5 years
Rate = 1.82%
I = A - P = $532.35
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 1.82%/100 = 0.0182 per year.
Solving our equation:
A = 3900(1 + (0.0182 × 7.5)) = 4432.35
A = $4,432.35
The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.
Learn more about simple interest here:
https://brainly.com/question/20690803
Lindsay wrote checks from her checking account for $20 and $35. Finally, she deposited $63 into her account. Which number describes the change in the balance of her account?
Answer:
20 and 35 because it says that she wrote a check.
Step-by-step explanation:
A bag contains 4 red balls and 6 blue balls. If 3 balls are selected at random, find the probability of selecting 3 red balls?
Select the graph of the equation y + x + 3 = 0.
Answer:
the fourth image
Step-by-step explanation:
y + x + 3 = 0
y = -x - 3
meaning slope = -1
and y-intercept is -3
answer: image attached
because they all look similar, it is the one that moves exactly one block per unit
Help me please Asap!
Answer:
1/10
Step-by-step explanation:
The permutation only occurs once during the 10 trials hence 1/10
can anyone please help? I'm stuck on this problem
Answer:
I think 38.7 if you do<j it would be 38.7
Daniel made 32 ounces of soup for 5 people. How many ounces will each person get?
Answer:
6.4 ounces
Step-by-step explanation:
If there are 32 ounces total, you can divide the total by the number of people to get the amount of soup each person gets.
32 / 5 = 6.4
Answer: If there's a remainder, then it's 6 with a remainder of 2
If it's a decimal (depends on what grade your sister's in), it's 6.4
If it's a fraction (again, depends on what grade your sister's in), it's 6 2⁄5
Step-by-step explanation:
32÷5=6r2, 6.4, or 6 2⁄5
PLEASE HELP ILL GIVE A HEART AND 5 STARS
Answer:
I Think it's True (If it's not please don't hate)
A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 95% confidence interval for the proportion of college students who prefer drink A: (.262. .622). Identify the point estimate for estimating the true proportion of college students who prefer that drink.
A) .18
B) .622
C) .262
D) .442
===================================================
Explanation:
To get the point estimate, we average the endpoints of the given confidence interval. Add up the endpoints and divide by 2
(low+high)/2 = (0.262+0.622)/2 = 0.442
The value 0.442 is right in the middle of the confidence interval, so it's a natural point estimate for the population proportion.
--------------
Alternative Method:
Subtract the endpoints to find the confidence interval width
width = high - low = 0.622 - 0.262 = 0.36
Cut this in half to get the margin of error (MoE)
MoE = width/2 = 0.36/2 = 0.18
Then we can either add on the MoE to the low endpoint, or subtract it from the high endpoint, to land on the center
center = low + MoE = 0.262 + 0.18 = 0.442center = high - MoE = 0.622 - 0.18 = 0.442I’m begging you please please answer my question please please answer me please please
Both factors of 20 and 10
Factors of 20 but not 10
Neither factors of 20 and 10
Answer:
Factors of 20 and 10: P ∪ Q
Factors of 20 but not 10: U ∩ (P ∪ Q)c
Neither factors of 20 or 10: (P ∪ Q)c
Which equation shows the inverse property of multiplication?
4 + (-4) = 0
-8 + (-3) = -3 + (-8)
2 times one-half = 1
As a restaurant, you and four friends divide the bill evenly. Each person pays $7.35. How much is the total bill?
Answer:
29.4
Step-by-step explanation:
Graph the following inequality and then select the correct graph below x + 2 > 1
Answer:
The graph is attached below.
Step-by-step explanation:
First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.
This gives us x is greater than -1. So, we can graph:
Helppppp please quick
Answer:
a≥11
Step-by-step explanation:
Because the graph is 11 the minimum and there is no maximum, you can say that a can be equal to 11, or it can also be bigger than 11.
Consider the following function. f(x)= 4x+7 Place the steps for finding f -1(x) in the correct order.
Answer:
To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y. This will find f^-1(x).
Step-by-step explanation:
Convert 27 inches to feet in dimensional analysis .
Answer:
2.25 feet.
Step-by-step explanation:
Formula: divide the value in inches by 12 because 1 foot equals 12 inches.
So, 27 inches = 27 /12 = 2.25 feet.
Find the value of x given that the area of the triangle is 8 ft2.
(x + 1) ft
(3x - 7) ft
Answer:
Step-by-step explanation:
Hi, I'm going to be starting homeschooling most likely from 7th to 12th Grade mainly due to my Public School failing me miserably and C0vid. I was curious if anyone could recommend me any home-schooling programs? All I'm looking for in a home-school is one that's easy in math or one that potentially has a lot of multiple-choice questions as obviously i will be using this website a lot to help me get through the stuff i don't exactly fully understand. All replies are GREATLY appreciated, Thank you so much.
Answer:
I use connexus :)
Step-by-step explanation:
i need help for my bro
what’s the domain and range of this graph ? PLEASE HELP URGENT
Step-by-step explanation:
Domain -5 range 5 ,...............
When a guy says i cheated just to let the world know what does it mean?
Answer ASAP
Answer:
He says that because he thinks ur cheating for attention. When they say you 'let the whole world know' that you`re unloyal and can be with any guy, without a care, it`s an insult.
Answer:
it means that he was dating another person while already dating
Step-by-step explanation:
it like when ur dating 2 people at one time without the other person knowing
The mean hourly wage for employees in goods-producing industries was $24.57, April 12, 2012 (Bureau of Labor Statistics). Suppose a sample of 30 employees from the manufacturing industry is taken, in April 2012, to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.
a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
b. Suppose a sample of 30 employees from the manufacturing industry showed a sam- ple mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
c. With a = .05 as the level of significance, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
Step-by-step explanation:
a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:
Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries
Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries
b.
Because we know the population standard deviation, we can use a z test
Plugging in the values:
Expected population mean: 24.57
Sample average: 23.89
Sample size: 30
Population standard deviation: 2.4, we get 0.1207 as our p-value.
c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)
d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis
Monique mother is 23 years older than Monique. The product of their ages is 518. How old are Monique and her mother?
Answer:
14 and 37
Step-by-step explanation:
[tex]x-y =23\\xy=518[/tex]
x= mother's age
y= Monique's Age
[tex]y=\frac{518}{x}[/tex]
[tex]x=23+y[/tex]
[tex](23+y)y=518[/tex]
[tex]23y+y^{2} =518[/tex]
[tex]y^{2} +23y-518=0[/tex]
[tex](y-14)(y+37)=0[/tex]
[tex]y=14[/tex] monica is 14 years old
The mother: [tex]x-y=23\\x-14=23\\x=23+14 = 37[/tex]
Hope this helps
Solveee
8 ( x - 1 ) + 17 ( x - 3 ) = 4 ( 4x - 9 ) + 4
118 - 65x - 123 = 5x + 35 - 20x
Answer:
1)[tex]x = 3[/tex]
2) [tex]x = - \frac{4}{5} [/tex]Step-by-step explanation:
To know the solution with Proof .Refer To the above attachments .Hope this helps you !!Answer:
Step-by-step explanation:
distribute the 8,17,and 4 throughout the parentheses to get
8x-8+17x-51=16x-36+4
combine like terms
25x-59=16x-32
subtract 16x from both sides and add 59 to both sides to get
9x=27
divide both by 9
x=3
A 16-ounce bottle of Spring water is $2.08. A 20-ounce bottle of Fresh water is $2.40. Which statement about the unit price is true
hope this helps,
(Info is in attachment)
I have a Statistics question
Answer:
we're your question
Step-by-step explanation:
again please
Answer:
Yes
Step-by-step explanation:
what is it
help me pls guys! im being timed and need some help!
Answer:
B.
Step-by-step explanation:
she only has $60 to spend therefore, she has the option of spending all of it, or less. However she cannot spend money she doesn't have.
Answer:
I think it's B
Step-by-step explanation:
(So far she has spent $45.95, plus the extra gift, and that has to equal less than or equal to $60) =
45.95 + extra gift (x) ≤ 60