which of the following numbers is a prime number greater than 23?
a)17 b)24 c)25 d)29 please no links
Choose all the expressions that have 23 as a product.
A. 45×56
B. 78×910
C. 13×23
D. 34×712
E. 67×79
Answer:
are you sure this is the right question? none of those have a sum of 23
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
i did this quick check
What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?
The volume of a hemisphere with a radius of 3.1 in. is 62.39 cubic inch
What is a hemisphere?The Hemisphere is the half part of a sphere.
What is the volume of a hemisphere?The volume of a hemisphere = (2/3)πr³ cubic units where r is the radius
Given radius is 3.1 in.
volume = (2/3)π(3.1)³
=62.39 cubic inch
Thus the volume of a hemisphere with a radius of 3.1 in. is 62.39 cubic inch
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which statements are true about angle b in this triangle?
Answer:
b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
e) [tex]\tan(B) = 1[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
The true statement about B
The given options show that we determine the correct trigonometry ratio of B.
So, we have:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(B) = \frac{a}{c}[/tex]
Where:
[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]
Also:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(B) = \frac{b}{c}[/tex]
Where:
[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
Lastly:
[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]
This gives:
[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]
[tex]\tan(B) = 1[/tex]
Hence, (b) and (e) are true
There are two cylinders.
The first has a radius of 7 and height of 5.
The second has a radius of 6 and height of 7.
Which cylinder has the larger surface area?
A-The first cylinder
B-The second cylinder
Answer:
b
Step-by-step explanation:
Zoe collects dinosaur models. she has 912 models and keeps them in different shoe boxes Zoe keeps 24 dinosaurs in each box how many boxes of dinosaurs does she have
Answer:
Zoe has 38 boxes.
Step-by-step explanation:
I found this answer by dividing 912 by 24 (912/24).
I hope this helped.
15. The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three U.S. women in this age group. What is the probability that at least one of the women has a Chlamydia infection
Answer:
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.
This means that:
[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]
Take a random sample of three U.S. women in this age group.
This means that [tex]n = 3[/tex]
What is the probability that at least one of the women has a Chlamydia infection?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 86 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminum wire, 105 met the specification. Let pX represent the population proportion units made with gold wire that meet the specification and let pY represent the population proportion units made with aluminum wire that meet the specification. Find a 95% confidence interval for the difference
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
[tex]pX = \frac{68}{86} = 0.7907[/tex]
[tex]sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439[/tex]
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
[tex]pY = \frac{105}{120} = 0.875[/tex]
[tex]sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302[/tex]
Difference:
[tex]p = pX - pY = 0.7907 - 0.875 = -0.0843[/tex]
[tex]s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533[/tex]
Confidence interval:
[tex]p \pm zs[/tex]
In which z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex], with [tex]\alpha[/tex] being 1 subtracted by the confidence level.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound of the interval:
[tex]p - zs = -0.0843 - 1.96*0.0533 = -0.1888[/tex]
Upper bound of the interval:
[tex]p + zs = -0.0843 + 1.96*0.0533 = 0.0202[/tex]
The 95% confidence interval for the difference is (-0.1888, 0.0202).
A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair.
Answer:
Step-by-step explanation:
If this class contains these types of hair color THEN the class will have
3/10 kids with black hair
1/10 kids have red hair
2/5 kids have brown hair
1/5 kids have blonde hair
_________________________
In total the class has 20 kids
It is found that the total number of students in the class is 20.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and also 2 with red hair.
If this class contains these types of hair colors of the students, then the class will have;
3/10 kids with black hair
1/10 kids have red hair
2/5 kids have brown hair
1/5 of kids have blonde hair
Total = 6 + 8 + 4 + 2 = 20
In total, the class has 20 students.
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The complete question is;
A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. What is the total number of students in the classes?
Subjects with pre-existing cardiovascular symptoms who were receiving subitramine, an appetite suppressant, were found to be at increased risk of cardiovascular events while taking the drug. The study included 9804 overweight or obese subjects with pre-existing cardiovascular disease and/or type 2 diabetes. The subjects were randomly assigned to subitramine (4905 subjects) or a placebo (4899 subjects) in a double-blind fashion. The primary outcome measured was the occurrence of any of the following events: nonfatal myocardial infarction or stroke, resuscitation after cardiac arrest, or cardiovascular death. The primary outcome was observed in 561 subjects in the subitramine group and 495 subjects in the placebo group. Do the data give good reason to think that there is a difference between the proportions of treatment and placebo subjects who experienced the primary outcome
I need help
SELECT ALL THAT APPLY.
WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?
A=3 h(b1 +
+ b2)
A. Rectangle
B. Square
C. Trapezoid
D. Triangle
E. Cube
Answer:
a
Step-by-step explanation:
An ice cream store sells 5 drinks, in 3 sizes, and 3 flavors. In how many ways can a customer order a drink?
Answer:
45 ways
Step-by-step explanation:
5*3*3 = 45
Answer:
45
Step-by-step explanation:
5*3*3
5*3=15
15*3=45
What is the answer ? What value is missing from the table?
Answer A. 17
Step-by-step explanation: The cost, in dollars is increasing by $1.05 by 1’s. To get from 1.05 to 2.10 is 1.05. So to find the Gallons of Gas, you would keep adding 1.05 until you get 17.85 or you can multiply the numbers in the answer choice by 1.05 to get your answer.
A snowstorm dropped three and two-fifths inches of snow. The next day one and four-fifths inches melted, how much snow was left?
Answer:
After the melting there were one and three fifths of snow left.
Step-by-step explanation:
Given that a snowstorm dropped three and two-fifths inches of snow, and the next day one and four-fifths inches melted, the following calculation must be performed to determine how much snow was left:
2/5 = 0.40
4/5 = 0.80
3.40 - 1.80 = X
1.60 = X
0.60 = 3/5
Thus, after the melting there were one and three fifths of snow left.
A student paid 256.37 in school fees how much has he paid to the nearest hundred
Answer:
300
Step-by-step explanation:
256.37 5 and 6 is high enoughh to boost that 2 up to a 3
Answer:
uhhh 256.37 is rounded to the nearest hundreth
Unless you mean hundred thwn it would be 300
In a sale the normal price of a book is reduced by 30% what singles number must be i multiple by to reduce something by 30%
I need help
Step-by-step explanation:
This means the price of the book will decrease by 100%-30%=70%
70% decrease in x = 100% of x - 70% of x = 1x - 0.7x = (1 - 0.7)x = 0.3x So 0.3x represents a 70% decrease in x.
Notice that this multiplier .3 is the same as (30% of x).
the answer is 0.3.
Beginning at 8:30 A.M., tours of the National Capitol and
the White House begin at a tour agency. Tours for the
National Capitol leave every 15 minutes. Tours for the
White House leave every 20 minutes.
a) How often do the tours leave at the same time?
b) When is the next time the two tours will leave at
the same time?
Answer:
Step-by-step explanation:
if both tours start at 8:30 A.M, the NC (National Capitol) 8:45, and the WH (White House) leaves at 8:50.
NC
08:45 08:50
09:00 09:10
09:15 09:30
09:30 09:50
09:45 10:10
10:00 10:30
10:15 10:50
10:30 11:10
10:45
11:00
Both tours leave at 9:30, and then away at 10:30.
They leave at the same time every hour.
Which are solutions of
x/5= 1/+4?
A. -5 and 1
B. -1 and 5
C. 0 and 5
D. 0 and - 1
E. 2 and 3
Answer:
I think a is correct answer.
what numbers multiply to give 100 and when summed up give 25................................
The original price of a
42-inch TV is $399. An
electronics store is
offering the TV for
15% off of the original
price plus a $25
discount. How much
will the TV cost after
both the sale and
discount?
A) $314.15
B) $40.00
C) $326.85
D) $359.00
PLEASE HELP
Answer:
$314.15 (A)
Step-by-step explanation:
We start by subtracting the 15% discount. 15% can be represented by 0.15, and 100% can be represented by 1. So therefore, the new price of the TV will be 1-0.15 = 0.85 of the original price using just the 15% discount. Therefore, 0.85 x 399 = $339.15. We then take this number and subtract another $25 to get $314.15
Which function is linear?
A) y = x^2 + 4
B) 2y = 4x^2
C) 2y = x + 4
D) x^2=2y
Answer:
A
Step-by-step explanation:
its a
Answer:
C) 2y = x + 4
Step-by-step explanation:
all other functions include x²
HURRY Antoine is using a horse trailer to transport his horses to his new
ranch.
A. Complete the table by finding the weight, in pounds, of
Antoine's horse trailer and each horse.
+
Weight (T)
Weight (lb)
Horse
0.4
Trailer
1.5
SHIFT Draw circle
Answer:
Step-by-step explanation:
What is the surface area of a triangular prism
what are the lengths of sides a and c
Answer: a is 4 mm, c is 8 mm
Step-by-step explanation:
the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.
the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse
divide the adjacent side by [tex]\sqrt{3}[/tex] and we have the opposite side: 4
the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
The table represents equivalent ratios of x to y. Find the missing numbers in the table.
Х
y
15
20
16
25
o
30
24
Please please i need help i will mark u brill
Answer:
Step-by-step explanation:
8d + 54 = 150
Putting value of D = 12 in the equation
8(12) + 54 = 150
96 + 54 = 150
150 = 150
Bringing like terms on one side
150 - 150 = 0
Answer:
Correct.
Step-by-step explanation:
8d+54=150
Putting d=12 we get
8(12)+54=150
96+54=150
150=150
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
Why is buying a house a better investment than renting an apartment?
A. Housing prices increase faster than rents.
B. Mortgage payments increase the homeowner's equity.
C. Leases have higher interest than mortgages
D. Houses are generally larger than apartments,
SIM
Why buying a house is a better investment than renting an apartment is: B. Mortgage payments increase the homeowner's equity.
Why buying a house can tend to be better investment compared to renting an apartment is because of mortgage.
When a person pay for the mortgage, the person debt or loan balance will decrease and on the other hand the person homeowner equity will tend to increase.
Therefore the correct option is B.
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Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna