Answer:
17 blocks
Step-by-step explanation:
1/2 = 0.5
10/0.5 = 20 blocks of clay
20 - 3 = 17 given to the students
Answer:
17
Step-by-step explanation:
Raw scores on a certain standardized test one year were normally distributed, with a mean of 156 and a standard deviation of 23. If
48,592 students took the test, about how many of the students scored less than 96?
Answer:
About 220 of the students scored less than 96
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 156 and a standard deviation of 23.
This means that [tex]\mu = 156, \sigma = 23[/tex]
Proportion that scored less than 96:
p-value of Z when X = 96. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{96 - 156}{23}[/tex]
[tex]Z = -2.61[/tex]
[tex]Z = -2.61[/tex] has a p-value of 0.00453.
About how many of the students scored less than 96?
0.00453 out of 48592.
0.00453*48592 = 220.1.
Rounding to the closest integer:
About 220 of the students scored less than 96
Answer:
220
Step-by-step explanation:
#platolivesmatter
The radius of a cylinder is 5 cm and the height is 7 cm.
Find the volume of the cylinder.
O 17517
7011
12011
No answer text provided.
Answer:
V = πr²h
V = 3.14 (5cm)²(7 cm)
V = 3.14 (25cm²) ( 7 cm)
V = 3.14 (175 cm³)
V = 549.50 cm³
20 points and brainliest!
Best answers please
Answer:
x = 12
Step-by-step explanation:
= 6 * (1/6 x)
= (6) * (2)
x = 12
Hope this helps....
Have a good day ahead :)
Answer:
The awnser is D) X=12
Step-by-step explanation:
Its not A because 1/12 times 1/6 is 1/72 and that's not equal to the sum.Its not B because 1/3 times 1/6 is 1/18 and that's not equal to the sum.Its not C because 1/6 times 3 is 1/2 and thats not equal to the sum.So, It has to be D. TO show my work, 12 times 1/6 is 2/1 and that is 2. It is equal to the sum.Sorry if its blurry:<
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
Select the favorable outcomes for rolling a sum of seven.
O (5-1) (5-2) (5-3) (5-4) (5-5) (5-6)
O (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)
O (1-1) (1-2) (1-3) (2-1) (2-2)(3-1)
O (1-1) (2-2) (3-3) (4-4) (5-5) (6-6)
Answer:
The second one
O (1-6) (2-5) (3-4) (4-3) (5-2) (6-1)
Step-by-step explanation:
Favorable outcome is the outcome that we are looking for
The outcome that we are looking for when rolling two = die is a sum of 7
The set (1-6) (2-5) (3-4) (4-3) (5-2) (6-1) all add up to equal 7
( 1 , 6 ) 1 + 6 = 7
( 2 , 5 ) 2 + 5 = 7
( 3 , 4 ) 3 + 4 = 7
etc.
Which means that they are the favorable outcomes for rolling a seven
You are going to use an incline plane to lift a heavy object to the too of shelving unit with a height of 7 ft. The base if the incline plane is 26 ft from the shelving unit. What is the length of the incline plane? FAST HELPPP MEE PLEASEE IM STUCK
Answer:
17.46 ft
Step-by-step explanation:
The inclined plane is in the shape of a right triangle, therefore we can use the Pythagorean theorem to find the length of the inclined plane. The formula for this theorem is the following
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where a and b are the two sides and c is the hypotenuse/inclined side. Therefore, we can simply plug in the lengths of the two sides into the formula and solve for c.
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]7^{2} + 16^{2} = c^{2}[/tex]
[tex]49 + 256 = c^{2}[/tex]
[tex]305 = c^{2}[/tex] ... square root both sides
17.46 = c
An equation with real coefficients has (1-i), 3, and 4 among its roots. What is the lowest possible degree of the equation?
A: 3
B: 4
C: 5
D: 6
Answer:
D
Step-by-step explanation:
Classify the following triangle. Check all that apply.
A
I A. Equilateral
B. Right
C. Acute
I D. Isosceles
O E Obtuse
O F. Scalene
Answer:
A and C
Step-by-step explanation:
The triangle given has three equal sides and three equal angles.
Since the sum of a triangle = 180°, therefore, each angle equals 60°
Thus, we can conclude that the triangle is an acute triangle because an acute triangle has all three sides measuring less than 90°. This implies that all it's angles are acute angles.
Also, since all its sides are equal and the same as well as it's three angles, based on this, we can equally say the triangle is an equilateral triangle.
The triangle can be referred to as an acute triangle and also as an equilateral triangle.
A leasing firm claims that the mean number of miles driven annually, , in its leased cars is less than miles. A random sample of cars leased from this firm had a mean of annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is miles. Assume that the population is normally distributed.
Is there support for the firm's claim at the level of significance?
Perform a one-tailed test.
null hypothesis?
alternative hypothesis?
type of test statistic?
value of the test statistic?
the p-value?
Can we support the leasing firm's claim that the mean number of miles driven annually is less than 12800 miles?
Complete question is;
A leasing firm claims that the mean number of miles driven annually, u , in its leased cars is less than 12800 miles. A random sample of 50 cars leased from this firm had a mean of 12499 annual miles driven. It is known that the population standard deviation of the number of miles driven in cars from this firm is 3140 miles. Is there support for the firm's claim at the 0.05 level of significance?
Perform a one-tailed test.
null hypothesis?
alternative hypothesis?
type of test statistic?
value of the test statistic?
the p-value?
Can we support the leasing firm’s claim that the mean number of miles driven annually is less than 12800 miles?
Answer:
A) Null hypothesis; μ ≥ 12800
Alternative hypothesis; μ < 12800
B) type of test statistic: z-score test
C) test statistic; z = -0.678
D) p - value = 0.2489
E) No, we can't support the leasing firms claim
Step-by-step explanation:
We are given;
Population mean; μ = 12800 miles
Sample mean; x¯ = 12499 miles
Sample size; n = 50
Population standard deviation; σ = 3140
Let's define the hypothesis;
Null hypothesis; μ ≥ 12800
Alternative hypothesis; μ < 12800
The alternative hypothesis is the claim.
Since sample size is greater than 30, we will use z-score test.
Formula for z-score;
z = (x¯ - μ)/(σ/√n)
z = (12499 - 12800)/(3140/√50)
z = -0.678
From online p-value from z-score calculator attached, using z = -0.678 with one tailed hypothesis and significance value of 0.05,we have;
p - value = P(z < -0.678) = 0.2489
The p-value is greater than the significance value, so we will fail to reject the null hypothesis and conclude that there is no sufficient information to support the leasing firm's claim
Please help I really need help. I am super confused and would really appreciate it
Answer:
[tex] a^{5} [/tex]
Step-by-step explanation:
Given the mathematical expression;
a⁸/a³
To rewrite the expression in the form [tex] a^{m} [/tex]
We would have to apply the law of indices.
[tex] Law \; of \; division = \frac {a^{x}}{a^{y}} = a^{x - y} [/tex]
[tex] Law \; of \; division = \frac {a^{8}}{a^{3}} = a^{8 - 3} [/tex]
[tex] a^{m} = a^{8 - 3} = a^{5} [/tex]
A watermelon that weighed 12 pounds cost $5.76. What was the cost per ounce of the watermelon?
Answer:
69.12
Step-by-step explanation:
12x5.76
Answer
69
Step-by-step explanation:
12×5.75=69
Please this a really easy question. Does this mean I got an A on this test?! Please answer!!!!!!!!!!!!!!!
Answer:
yes it does. good job on your A.
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Find the measure of the arc indicated.
John's parents deposited $1000 into a savings account as a college fund when
he was born. How much will John have in this account after 18 years at a yearly
simple interest rate of 3.25%?
Answer: 15850
Step-by-step explanation:
if johns account has 10000 dollars then each year he'll be making at 3.25% interest that's a total of $325 each year therefore in 18 years he'll have made 325 X the 18 years which you turn hall to 5850 as interest but now the question is it asking how much will John have in his account after 18 years at the yearly simple interest of the 3.25 there for the total will be 15850 dollars
an official playing field (including end zone) for the indoor football league has a length 39 yd longer than its width. the perimeter of the rectangular field is 162 yd. find the length
Answer:
42
Step-by-step explanation:
39+39 = 78
162 - 78 = 2 lengths =84
84/2 = 42
5x+25=75 pls help appreciated
Answer:
x=10
Step-by-step explanation:
I guess solve for x
5x=50
x=10
Answer:
x=10
Step-by-step explanation:
Subtract to 25 from both sides
5x+25-25=75-25
so 75- 25 is 50
then ur left with 5x=50 so u divide because 5 is by x which means multipy so u do the opposite which is divding
5÷50 =10
A market researcher would like to know how much time the average college student spends watching sports. Suppose he does a preliminary study based upon a sample of 25 college students. The mean amount of time spent watching sports, by those in the sample, is 90 minutes per day with a standard deviation of 15 minutes per day.
(a) Which of the following numbers gives the value of the point estimate?
a. 15.
b. 25.
c. 90.
d. 0.
e. 95.
(b) Using the information given above, calculate the margin of error (in minutes) of the point estimate. Assume we would like to estimate the population mean with 95% confidence.
(c) Suppose that the researcher is not content with the current margin of error. He would like the margin of error of the point estimate to be no more than 4 minutes with 95% confidence. The researcher is unwilling to trust that the sample standard deviation from his previous study accurately estimates the true population standard deviation. He does, however, know that college students tend to watch sports between 0 and 120 minutes per day. What is the minimum sample size needed to obtain this amount of precision?
Answer:
a) c. 90.
b) The margin of error of the point estimate is of 6.19 minutes.
c) The minimum sample size needed to obtain this amount of precision is 289.
Step-by-step explanation:
(a) Which of the following numbers gives the value of the point estimate?
The value of the point estimate is the sample mean, of 90 minutes. So the answer is given by option c.
(b) Using the information given above, calculate the margin of error (in minutes) of the point estimate. Assume we would like to estimate the population mean with 95% confidence.
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0639.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Here, we have [tex]s = 15, n = 25[/tex]. So
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 2.0639\frac{15}{\sqrt{25}}[/tex]
[tex]M = 6.19[/tex]
The margin of error of the point estimate is of 6.19 minutes.
Question c:
College students tend to watch sports between 0 and 120 minutes per day, which means that the standard deviation for population can be estimated as the standard deviation of an uniform distribution with [tex]a = 0, b = 120[/tex]. This standard deviation is:
[tex]\sigma = \sqrt{\frac{(b-a)^2}{12}}[/tex]
Then
[tex]\sigma = \sqrt{\frac{(120-0)^2}{12}}[/tex]
[tex]\sigma = 34.64[/tex]
Minimum sample size:
Now, since we have an estimate for the standard deviation of the population, we use the z-distribution.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The minimum sample size is n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 1.96\frac{34.64}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 1.96*34.64[/tex]
[tex]\sqrt{n} = \frac{1.96*34.64}{4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*34.64}{4})^2[/tex]
[tex]n = 288.1[/tex]
Rounding up:
The minimum sample size needed to obtain this amount of precision is 289.
If y =
ya
x and x = -18, find y.
Answer:
y
=
3
√
−
2
a
x
y
=
−
3
√
−
2
a
x
Step-by-step explanation:
Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each. They had a coupon for $2.00 off their purchase. They split the remaining cost equally. Which expression could be used to find the amount each person paid?
Answer:C. [12.35+(2.25x3)-2]÷3
A clock lost 2 minutes and 36 seconds in 78 days. How many seconds did it lose per day?
the clock lost 2 seconds per day
Daryl can jump 2 1/2 yards. sarah can jump 8 feet michell can jump 72 inches, witch statement is true.
Answer:
Where are the statements?
Step-by-step explanation:
Where are the statements?
If the measure of <4 = 105 degrees, what is the measure of <5?
IF U GET IT RIGHT ILL MARK BRAINLIEST
WHAT IS 5 TIMES 2 I NEED HELP ASAP BECAUSE I CANT KEEP UP UGHHHH
Answer:
2X2
Step-by-step explanation:
Answer: 10
Step-by-step explanation: 5 x 2 = 10
5 + 5 = 10
Are all cones similar?
Answer: all cones with the same height are always similar. False... radii could differ. ... Doubling the radius of a sphere doubles its surface area.
Step-by-step explanation:
pls help 10 pts
no links
Answer:
a
Step-by-step explanation:
the answer is A I hope that helps you for school
Which subtraction sentence shows the difference
Answer:
A
Step-by-step explanation:
because box is filled with four out of six and the second is filled with three out of six. So, you subtract the second one from the first one. I HOPE IT HELPS
pls pls help i realy need help
Answer:
a <= 3
Step-by-step explanation:
х
The table of values below represent an exponential function. Write an exponential equation that models the data.
у
-2 23
-1 16.1
0 11.27
1 7.889
2 5.5223
a.
y = 23(0.7)
y = 16.1(1.7)
C. y = 11.27(0.7)
d.
y = 11.27(1.3)
b.
9514 1404 393
Answer:
C. y = 11.27(0.7^x)
Step-by-step explanation:
The table value (x, y) = (0, 11.27) tells you the multiplier of the exponential term will be 11.27. The decreasing values tell you the base of the exponential term is less than 1. Only answer choice C matches these requirements.
Solve
W times 4 - 10=42
Please help quick thank you
Answer:
13
Step-by-step explanation:
4w-10=42
4w=52
w=52/4
w=13
X/4 < 1.5 show steps please
Step-by-step explanation:
x/4<1.5x<1.5×4x<6stay safe healthy and happy...A force of 350 pounds is resolved into component forces. If it makes an angle of 67° with the horizontal, find the larger component. 322 lb 235 lb 137 lb 380 lb
Answer: [tex]322\ lb[/tex]
Step-by-step explanation:
Given
The magnitude of the force [tex]F=350\ \text{Pounds}[/tex]
The force makes an angle of [tex]67^{\circ}[/tex] with the horizontal
So, the components of the force are
[tex]\Rightarrow F\cos 67^{\circ}, F\sin 67^{\circ}\\\Rightarrow F\cos 67^{\circ}=350\cos 67^{\circ}\\\quad \quad =136.75\ lb\\\text{Similarly, }\\\Rightarrow F\sin 67^{\circ}=350\sin 67^{\circ}\\=322.17\ lb[/tex]
The larger among the two is [tex]F\sin 67^{\circ}[/tex] i.e. [tex]322\ lb[/tex]