Alice skated 3.4 miles on Monday and 2.6 miles on Wednesday. How much farther did she skate on Monday ?

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

[tex]n = 1537, \pi = \frac{353}{1537} = 0.2297[/tex]

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].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507[/tex]

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Answer:

675 = variable expenses

Step-by-step explanation:

Take the total expenses and subtract the fixed expenses to find the variable expenses

1425-750 = variable expenses

675 = variable expenses

Answer:

The relative change from 6546 and 4392 is 49.04

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

In the figure attached,

BC is the angle bisector of angle ACD.

To prove ΔABC and ΔDBC congruent by SAS property we require two sides and the angle between these sides to be congruent.

Since BC ≅ BC [Reflexive property]

∠ABC ≅ ∠CBD ≅ 125°

And sides AB ≅ BD

Both the triangles will be congruent.

Therefore, additional information required to prove ΔABC ≅ ΔDBC have been given in option (1).

Therefore, Option (1) will be the answer.

The additional information that could be used to prove ΔABC ≅ ΔDBC

using SAS are;

Reasons:

The given information are;

[tex]\overline{CB}[/tex] bisects ∠ACD

The given information from the diagram are;

[tex]\overline{AC}[/tex] = 52 cm

[tex]\overline{BD}[/tex] = 29 cm

∠CBD = 125°

Solution;

First selected option; m∠ABC = 125° and [tex]\overline{AB}[/tex] ≅ [tex]\overline{DB}[/tex]

[tex]\overline{CB}[/tex] ≅ [tex]\overline{CB}[/tex] (reflexive property)

ΔABC ≅ ΔDBC (SAS rule of congruency)

Second selected option; ΔACD is isosceles, with base [tex]\overline{AD}[/tex]

∠ACB ≅ ∠DCB (definition of angle bisector)

[tex]\overline{CD}[/tex] ≅ [tex]\overline{AC}[/tex] (definition of isosceles triangle)

[tex]\overline{CB}[/tex] ≅ [tex]\overline{CB}[/tex] (reflexive property)

ΔABC ≅ ΔDBC (SAS rule of congruency)

Third selected option;  [tex]\overline{CD}[/tex] = 52 cm

∠ACB ≅ ∠DCB (definition of angle bisector)

[tex]\overline{CD}[/tex] ≅ [tex]\overline{AC}[/tex] (definition of congruency)

[tex]\overline{CB}[/tex] ≅ [tex]\overline{CB}[/tex] (reflexive property)

ΔABC ≅ ΔDBC (SAS rule of congruency)

The Side-Angle-Side, SAS, rule of congruency states that two triangles are

congruent if two sides and an included angle of one triangle are

congruent to the corresponding two sides and included angle on the other

triangle.

Learn more here:

https://brainly.com/question/7672200

Answer:

(B) [tex]\dfrac{10}{39}[/tex]

Step-by-step explanation:

Number of red marbles = 5

Number of white marbles = 8

Total =8+5=13

Event A = drawing a white marble on the first draw

Event B = drawing a red marble on the second draw

P(A)=8/13

P(B)=5/12

Therefore:

P(A and B)

[tex]=\dfrac{8}{13} \times \dfrac{5}{12}\\\\=\dfrac{10}{39}[/tex]

Answer:

Your answer is B

Step-by-step explanation:

Answer:

C (the third graph)

Step-by-step explanation:

This graph's function has a domain and range that both exclude one value, which is 0. The x and y values are never 0 in the function, as it approaches 0 but never meets it.

Answer:

see below

Step-by-step explanation:

This graph has an asymptote at y = 0 and x=0

This excludes these values

The domain excludes x =0

The range excludes y=0

Answer:

$2.70+/-$0.33

= ( $2.37, $3.03)

Therefore, the 90% confidence interval (a,b) = ( $2.37, $3.03)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $2.70

Standard deviation r = $0.93

Number of samples n = 22

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$2.70+/-1.645($0.93/√22)

$2.70+/-1.645($0.198276666210)

$2.70+/-$0.326165115916

$2.70+/-$0.33

= ( $2.37, $3.03)

Therefore, the 90% confidence interval (a,b) = ( $2.37, $3.03)

Answer:

So in this problem, we're told that a polynomial is fact herbal and it's not a perfect square. Try no meal or a difference of two squares. Can you factor the pie? Nomi bite or polynomial without finding the G C F. So no Jacey after is allowed. So if it's not a perfect squared, try no meal. So not a perfect square. We know it's not this, and we also know it's not a difference of two squirt if it's not any of these or if it's not either of these, but we can't find the G. C F. There are three different ways we could find the factored form. You could do it by grouping where you separating the polynomial into two parts and factor them individually before combining. You could also use the sum or a difference of cubes. This is for a cubic or a um, polynomial of third degree, and you could also use fractional or negative exponents. So even if you can't find the G c f or use these methods, there are still three ways you can factor the

Step-by-step explanation:

Glad i could help!

Step-by-step explanation:

Concepto    20 pies, 20´ × 8´ × 8´6" 40 pies High Cube, 40´ × 8´ × 9´ 6"

Ancho  2352 mm / 7´9" 2352 mm / 7´9"

Altura 2393 mm / 7´10" 2698 mm / 8´10"

Capacidad 33,2 m³ / 1172 ft³ 76, m³ / 2700 ft³

ESPERO QUE TE AYUDE :D

Answer:

3x+7

Step-by-step explanation:

Three times a number, let x be the number and 7 so plus 7

The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.

The given phrase is "the sum of three times a number and seven".

Variables and constants are combined to generate algebraic expressions using a variety of techniques. Terms comprise expressions. A term is the sum of several elements. Both numerical and algebraic (literal) factors are acceptable.

Let the unknown number be x.

Three times of a number = 3x

The number 7 is added to the  obtained sum.

That is, 3x+7

So, the expression is 3x+7

The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.

To learn more about an expression visit:

https://brainly.com/question/28170201.

#SPJ4

Answer:

(-1,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(1+-3)/2 = -2/2 = -1

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(-6+4)/2 = -2/2 = -1

(-1,-1)

Answer:

Brianliest!

Step-by-step explanation:

4

1 in 500

500 x 4 = 2000

4 in 2000

Answer:

Hope this helps!!

Answer:

the correct answer is ...... A

Step-by-step explanation:

Hope this helps

Given Information:

Mean daily demand  = 3.5 monitors

standard deviation daily demand = 1.2 monitors

Lead time = 25 days

customer service level = 90%

Required Information:

Safety Stock = ?

Answer:

Safety Stock = 8 monitors

Step-by-step explanation:

The  safety stock  of monitors that IM Systems should hold is given by

[tex]Safety \:\: Stock = z \times \sigma \times \sqrt{n}[/tex]

Where σ is the standard deviation of daily demand, n is the lead time and z is the z-score corresponding to 90% service level.

From the z-table, the z-score corresponding to 90% is found to be

z = 1.282

So the required safety stock  is

 [tex]Safety \:\: Stock = z \times \sigma \times \sqrt{n} \\\\Safety \:\: Stock = 1.282 \times 1.2 \times \sqrt{25} \\\\Safety \:\: Stock = 1.282 \times 1.2 \times 5 \\\\Safety \:\: Stock = 7.692\\\\[/tex]

Rounding off to nearest whole number yields

Safety Stock = 8 monitors

Therefore, IM Systems should hold 8 monitors.

Answer:

Second option is the correct choice.

Step-by-step explanation:

"The discriminant is −4, so the equation has no real solutions."

[tex]x^2-4x+5=0\\\\a=1,\:b=-4,\:c=5:\\\\b^2-4ac=\left(-4\right)^2-4\cdot \:1\cdot \:5=-4[/tex]

Best Regards!

Answer: B

The discriminant is −4, so the equation has no real solutions.

Step-by-step explanation:

Just took quiz EDG2021

Mark Brainliest

Answer:

0.75 ML of insulin contains 75 units of insulin

Step-by-step explanation:

U - 100 insulin hold 100 units of insulin per ml

This means that:

1 ML = 100 units

∴ 0.75 ML = 100 × 0.75 = 75  units

Therefore 0.75 ML of insulin contains 75 units of insulin

Answer:

A. Shift down 2 units.

B. Vertically stretch by a factor of 4.

Step-by-step explanation:

Given the function

f(x)=x

If we stretch y vertically by a factor of m, we have: y=m·f (x)

Therefore:

Vertically stretching f(x) by a factor of 4, we have: 4x.

Next, if we take down f(x) by k units we have: y= f(x)-k

Therefore: Taking down 4x by 2 units, we obtain:

g(x)=4x-2

Therefore, Options A and B applies.

Answer:

  yes

Step-by-step explanation:

The domain is the set of x-values: {1, 2, 3, 4}. None of these are repeated, so this relation is a function.

Answer:

C

Step-by-step explanation:

A regular octagon has 8 lines of symmetry.

The point of intersection of the lines of symmetry of a regular octagon is the point of symmetry.

A regular octagon has both point and line symmetry. Thus, option C is the right choice.

The different types of symmetry are:

In the question, we are asked about the types of symmetry that a regular octagon has.

A regular octagon has 8 lines of symmetry about which the shape divides itself into equal halves.

These are the 4 lines joining each opposite vertex, and the other 4 are the lines passing through the midpoints of opposite sides.

A regular octagon is point symmetric as 180° rotation about the point of intersection of the lines of symmetry gives the same shape back.

Thus, we can say that a regular octagon has both point and line symmetry. Thus, option C is the right choice.

Learn more about symmetry at

https://brainly.com/question/16646684

#SPJ2

Answer:

y = x-2

Step-by-step explanation:

Pick two points on the line

(0,-2) and (2,0)

We can find the slope

m = (y2-y1)/(x2-x1)

   = (0--2)/(2-0)

   = (0+2)/(2-0)

   2/2

  =

We know the y intercept is -2 (  where it crosses the y axis)

y = mx +b is the slope intercept form of the equation  where m is the slope and b is the y intercept

y = 1x -2

y = x-2

Answer: [tex]y=x-2[/tex]

Step-by-step explanation:

I explained the other problem you asked, why couldnt you apply that info to this one? Either way, Ill explain it again.

We can see the slope intercept is -2, so b = -2

To get the slope, just from visualization. Look at the y value and x value direction for which you gotta take to get to the next coords. From the y-intercept, you go up 1 and then right 1. 1/1 = 1

Answer:

Step-by-step explanation:

a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S

Write the probability of energy supplied by these energy sources in the next 10 years  

P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = [tex]P(\bar F S)[/tex] ∪ [tex]P( \bar S F)[/tex] ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

[tex]=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)[/tex]

[tex]=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36[/tex]

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

Answer:

I think sample B is better.

Step-by-step explanation:

Its more careful and better

Answer:

AB = 37 units.

Step-by-step explanation:

Solve for AB using the Pythagorean theorem:

c² = a² + b² (c being AB in this instance)

Plug in the values of the legs of the triangle:

c² = 12² + 35²

c² = 144 + 1225

c² = 1369

c = √1369

c = 37

Therefore, AB = 37.

Answer:

Solution,

a. Given,

X=4

y=3

Now,

[tex]2x + y \\ = 2 \times 4 + 3 \\ = 8 + 3 \\ = 11[/tex]

b. Given,

a=-2

b=5

Now,

[tex] {a}^{2} + b \\ = {( - 2)}^{2} + 5 \\ = 4 + 5 \\ = 9[/tex]

hope this helps...

Good luck on your assignment..

Answer:

It’s 0.12

Step-by-step explanation:

Took test

Answer:

[tex]\mathrm{12\sqrt{5} \: \: inches}[/tex]

Step-by-step explanation:

Use Pythagorean theorem, where:

[tex]a^2+b^2=c^2[/tex]

Substitute in the values.

[tex]24^2+12^2=c^2[/tex]

[tex]c^2=576+144[/tex]

[tex]c^2=720[/tex]

[tex]c=\sqrt{720}[/tex]

[tex]c=12\sqrt{5}[/tex]

[tex]c=26.83281[/tex]

Answer:

0.7396 = 73.96% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The components operate independently. So we use the binomial probability distribution 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.

Eight components:

This means that [tex]n = 8[/tex]

Probability of 0.45 of failing in less than 1,000 hours.

So 1 - 0.45 = 0.55 probability of working for longer than 1000 hours, which means that [tex]p = 0.55[/tex]

Find the probability that the subsystem operates longer than 1000 hours.

We need at least four of the components operating. So

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{8,4}.(0.55)^{4}.(0.45)^{4} = 0.2627[/tex]

[tex]P(X = 5) = C_{8,5}.(0.55)^{5}.(0.45)^{3} = 0.2568[/tex]

[tex]P(X = 6) = C_{8,6}.(0.55)^{6}.(0.45)^{2} = 0.1569[/tex]

[tex]P(X = 7) = C_{8,7}.(0.55)^{7}.(0.45)^{1} = 0.0548[/tex]

[tex]P(X = 8) = C_{8,8}.(0.55)^{8}.(0.45)^{0} = 0.0084[/tex]

[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2627 + 0.2568 + 0.1569 + 0.0548 + 0.0084 = 0.7396[/tex]

0.7396 = 73.96% probability that the subsystem operates longer than 1000 hours.

Answer:

(1) a. 0.0009

(2) d. 0.640

(3)

(4)Not disjoint

(5) a. nearly 0.

(6)b. 0.919

Step-by-Step Explanation:

(1)Probability of a baby being born with a birth defect =3%=0.03

The probability that both babies have birth defects=0.03 X 0.03= 0.0009.

(2)The probability of contracting the influenza virus each year = 20%=0.2

Therefore, the probability of not contracting the influenza virus =1-0.2=0.8

The probability that neither baby catches the flu in a given year:

=0.8 X  0.8

=0.64

(3)

P(A)=0.1

P(B)=0.6

P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7

P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06

(4)

P(A)=0.2

P(B)=0.9

Event A and B cannot be disjoint.

(5)

The probability of an American woman aged 20 to 24 having Chlamydia infection  [tex]=\dfrac{2791.5}{100000}[/tex]

The probability that three randomly selected women in this age group have the infection

[tex]=\dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \\\\=0.00002175\\\approx 0[/tex]

(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection  [tex]=1-\dfrac{2791.5}{100000}[/tex]

The probability that three randomly selected women in this age group do not have the infection

[tex]=\left(1-\dfrac{2791.5}{100000}\right)^3\\\\=0.9186\\\approx 0.919[/tex]

Answer:

8.33 grams of fat

Step-by-step explanation:

One serving of the milk contains 2.5 grams of fat.

2% milk has 70% less fat than whole milk.

This means 2% milk has 30% of the fat that whole milk has.

Let W = amount of fat in whole milk

30% of the fat that whole milk has

=30% × w

=30/100×w

=0.30×w

=0.30w

How many grams of fat are in an equivalent gram of whole milk

2.5g=0.30w

w=2.5g/0.30

=8.33 grams of fat

Answer:

3056.6 cm^2

Step-by-step explanation:

A = (pi)r^2 = 3.14 * 31.2 cm * 31.2 cm = 3056.6 cm^2

Answer: 3056.60 sq. cm.

Step-by-step explanation:

Area of a circle = π x r^2

= 3.14 x 31.2^2

= 3056.60