Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\for\ a \ sample(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\where\ x=raw\ score,\mu=mean, \sigma=standard deviation[/tex]
Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL
a) For x < 210:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{210-260}{35/\sqrt{49} } =-10[/tex]
From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001
b) For x > 205:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{205-260}{35/\sqrt{49} } =-11[/tex]
For x < 215:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{215-260}{35/\sqrt{49} } =-9[/tex]
P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009
c) For x < 200:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{200-260}{35/\sqrt{49} } =-12[/tex]
From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001
d) For x > 222:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{222-260}{35/\sqrt{49} } =-7.6[/tex]
From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999
Can you help me please here is the image
Answer:
its c
i think
Step-by-step explanation:
the sum of three consecutive integers is -51 what is the value of the smallest number
Answer: Let's say the first number is x, the next one is x+1, and so on
Step-by-step explanation:
x + (x + 1) + (x + 2) = -51
x + x + 1 + x + 2 = -51
3x + 3 = -51
3x = -54
x = -18
Bill is in a class of 23 girls and 27 boys. 40% of the students in the class take the bus to school. How many students take the bus to school?
A. 15
B. 20
C. 30
D. 35
Answer: 20 students
Step-by-step explanation: 20 students who take the bus to school. Therefore thirty students do not take the bus to school.
A researcher wants to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost, 12 of the 50 plants in group 1 exhibited damage and 18 of the 50 plants in group 2 showed damage. Let p1 be the actual proportion of all tomato plants of this variety that would experience damage under the kelp treatment, and let p2 be the actual proportion of all tomato plants of this variety that would experience damage under the no-kelp treatment.
Required:
Construct and interpret a 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no-kelp treatment.
Answer:
The 95% confidence interval for the true difference in the proportion of tomato plants like these that would experience damage after receiving the kelp treatment and no kelp treatment is -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901
Step-by-step explanation:
The given data are;
The number of the group 1 plants that exhibited damage = 12
The number of plants in group 1, n₁ = 50
The number of the group 2 plants that exhibited damage = 18
The number of plants in group 2, n₂ = 50
The proportion of group 1 plants that exhibited damage, [tex]\hat p_1[/tex] = 12/50 = 0.24
The proportion of group 2 plants that exhibited damage, [tex]\hat p_2[/tex] = 18/50 = 0.36
The z-value at 95% = 1.64
The confidence interval is given by the following formula;
[tex]C.I. = \hat{p}_1-\hat{p}_2\pm z^{*}\sqrt{\dfrac{\hat{p}_1\left (1-\hat{p}_1 \right )}{n_{1}}+\dfrac{\hat{p}_2\left (1-\hat{p}_2 \right )}{n_{2}}}[/tex]
Plugging in the values, we get;
[tex]C.I. = 0.24-0.36\pm 1.64 \times \sqrt{\dfrac{0.24\left (1-0.24 \right )}{50}+\dfrac{0.36\left (1-0.36 \right )}{50}}[/tex]
Therefore, C.I. = -0.2690 < [tex]\hat{p}_1-\hat{p}_2[/tex] < 0.02901
How many miles are in 3227 feet? (1 foot=5280 miles) Round to the nearest tenth.
0.6111742 Miles
Please Mark Brainliest!
Answer:
.6
Step-by-step explanation:
will technically there is 0.6111742 in a 3227 because you divide 3227 by 5280
A piano turner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the piano turner charges for 4 hours of work?
Find the solution to -1/3y = -9
Answer:
y=27
Step-by-step explanation:
Hey There!
So the whole objective is to get y on one side and the constant on the other
to do so we use inverse operations
-1/3y=-9
divide each side by 1/3
-9/-1/3=-27
we're left with y=-27
If a=-3, then - (a4) =
A -12
B 81
C-81
D 12
Which of the points shown below are on the line given by the equation y = 2x?
Check all that apply
g A construction company has four trucks to carry sand to construction sites. The amount of sand that one truck can transport in one day can be modeled by an exponential distribution with mean of 4 tons for each of the four trucks. The trucks operate independently Find the probability that exactly two out of the four trucks transport more than 4 tons on a given day. What is the median load
Simplify. Write the answer as a decimal.
Answer:
what are we simplifying
plz help me with this
Answer:
11 shots
Step-by-step explanation:
60% of 18 = 10.8
10.8 rounded = 11
Why we did this:
Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18.
The answer we get is 10.8, but we can't have a part of a shot. That wouldn't make sense. Therefore, we have to round up to 11 shots.
What are the x-intercepts of the function f(x) = -2x2 – 3x + 20?
OAC) and (4,0)
O B.(-2, 0) and (5,0)
O C.(-4,
* (-4, 0) and (0)
O D.(-5,0) and (2.0)
Answer:
the interception of the function will be equals -2x+5 And x-4
I guess
What is the highest common factor of 72 and 96
What are two absolute value expressions that are equivalent to |7+9|.
You did not give is choices to choose from.
|7 + 9| is the same as |-7 - 9|.
|16| is the we same as |-16|.
Corresponding Angles are congruent.
Which angle corresponds with 4 3?
em
41 42
43 44
«[?]
448
56
Answer:it’s 5 trust
Step-by-step explanation:
determine the following
Answer:
function
Step-by-step explanation:
y = 6x^2 +x+7
This is an upward facing parabola
This relation will pass the vertical line test.
This relation is a function
Solve for x. Round your answer to the nearest tenth
[tex] {x}^{2} = {24}^{2} - {23}^{2} \\ \\ {x}^{2} = 576 - 529 \\ \\ {x}^{2} = 47 \\ \\ x = \sqrt{47} [/tex]
A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground. Find the length of the ladder.
Use the Pythagorean theorem:
7^2 + 24^2 = length^2
Simplify:
49 + 576 = length ^2
Add:
625 = length^2
Take the square root of both sides
Length = 25
The ladder is 25 feet long
Use the applet to select a random sample of 8 students.Repeat to generate many samples. The applet gives the sample proportion for each sample. Examine the variability in the sample proportions you generated with the applet. Which of the following sequences of sample proportions is most likely to occur for 5 random samples of 8 students from this population? Group of answer choices 0.250, 0.125, 0.500, 0.500, 0.875 0.600, 0.600, 0.600, 0.600, 0.600 0.375, 0.625, 0.500, 0.500, 0.875
Answer:
0.250, 0.125, 0.500, 0.500, 0.875
Step-by-step explanation:
Sampling method is used in statistics where the sample is extracted from the population. A random sampling means that there is equal chance of every proportion to be selected in the sample. In the given scenario the sampling method used is random sampling which has 5 random samples of 8 students. There can be sequence for the sampling starting from 0.250.
Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and makes a 45 degree angle with the ground.
How high is the kite?
Answer:
the Hight of kite is =12×sin45
therefore,8.5 feet
Use long hand division to determine if (x-1) is a factor of 4x^4 + 7x^2 - 5x + 1
Answer:
[tex] \bold{quotient } = {4x}^{3} + {4x}^{2} + 13x + 8 \\ \bold {remainder} = 9[/tex]
Step-by-step explanation:
See the attached image.
number 5 please yeah
Answer:
3x<45
Step-by-step explanation:
Simple
Calculate cose to two decimal places.
Answer: its b
Step-by-step explanation:
Find the missing side. Round your answer to the nearest tenth.
Answer:
x= 23.0 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
Find the value of x.
(13x+12)
129
X=
PLSS HELP
Answer:
The value of x would equal 9
Step-by-step explanation:
129 - 12 = 117
117/13 = 9
Besides using the proper formula, what must you be cautious of when calculating the area of geometric
figures? Why?
Answer:
Some units are inches and some are feet. In that case, you would need to convert in order for the equation to be solved.
Step-by-step explanation:
I got 100% on edgen
Cautious of when calculating the area of geometric figures is different unit.
What are units?A measurement unit is a standard quantity used to express a physical quantity.
The main caution while calculating the geometric figures is units.
Sometimes units are inches and some are feet.
In this case, we need to convert in order to get the correct calculation because different measurements can cause error in finding the solution.
Learn more about units here:
https://brainly.com/question/12629581
#SPJ2
Trevor was paid $960 last week for working 40hours. What is Trevor's hourly pay rate before taxes?
Answer:
He gets paid 24 dollars an hour 960/40=24
Cereal costs $2 per box. How many boxes did Joe buy if she spent $6?
Answer:
3 boxes
Step-by-step explanation:
Take the total spent and divide by the cost per box
$6/ $2
3
She bought 3 boxes
1. Andre earns $4000 a month at his new job. In order to track his spending and saving, he created a monthly
budget. Andre divided his income into five categories and created the following circle graph to represent the
budget he created for himself. Use this circle graph to answer the following questions.
Monthly Budget
Other, 22%
Rent
33%
Savings
25%
Groceries,
12%
Utilitites
8%
(a) Andre is planning on renting a new apartment, but he wants to stay within his budget on and
utilities. Andre is looking at two apartments: Apartment 1 and Apartment 2. Apartment 1 costs $1100
per month, plus $250 for utilities. Apartment 2 costs $1350 per month, plus $100 for utilities. Which
apartment should Andre choose?
(b) Explain your reasoning in a minimum of 3 sentences or more.
Answer:
Answer:
If Andre plans on staying within his budget, he should choose Apartment 1.
Step-by-step explanation:
Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly
Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly
Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.
If Andre plans on staying within his budget, he should choose Apartment 1.
Andre would choose apartment 1 because its cost of rent and utilities is less than the budgeted costs of rent and utilities
A pie chart is shows information in a circle. The sum of angles in a pie chart is 360 degrees and the sum of percentages is 100.
The first step is to determine the total amount Andre can spend on rent according to the budget.
Total amount of budget = percentage of budget to be spent on rent x total income
33% x $4000
= 0.33 x $4000 = $1320
The second step is to determine the total amount of the budget that would be spent on utilities
Total amount to be spent on utilities = percentage of utilities x total income
8% x $4000
0.08 x $4000 = $320
The cost of rent and utilities of apartment 1 is less than the cost of the budgeted cost. While the cost of rent of apartment 2 is greater than the budgeted rent and its utilities is less than the and the budget for utilities. This makes Apartment 1 more appropriate.
To learn more about pie charts, please check: https://brainly.com/question/5870339?referrer=searchResults