A parabola is defined by the equation x = 5y2 In which direction will the parabola open?
ОА.
up
OB.
down
O C. right
OD.
left

Answer:

1- b. False

2 b. We are 95% confident that the true mean is between 76.08 and 83.92.

Step-by-step explanation:

Confidence Interval is the estimated value that is computed from the statistic of data which is observed. The range value is plausible for unknown parameters. To find the critical value the confidence interval value is observed through the t-value table.

Answer:

Yes, triangle GYK is similar to triangle BAK.

Step-by-step explanation:

The sides of each triangle are proportional to each other.

Take the longest side of each triangle. You are comparing line AK with line KY.

The proportion is 15/25.

Now, take the shortest side of each triangle. You are comparing line KB with GK.

The proportion is 6/10.

To determine if the triangles are proportional, we can see if the two proportions are equal to each other:

15/20=6/10

3/5=6/10

Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.

Hope this helps :)

Answer:

O  Yes!

Step-by-step explanation:

We would check whether the proportionality of their sides is equal

Taking proportionality

= [tex]\frac{6}{10} = \frac{15}{25}[/tex]

Cross Multiplying

6 × 25 = 15 × 10

150 = 150

So, ΔABK is similar to ΔGKY

Answer:

(a)y=6x+33

(b)$117

Step-by-step explanation:

If a  customer uses 12 GB, the monthly cost will be $105.

If the customer uses 34 GB, the  monthly cost will be $237.

given that

We have the pairs: (12, 105) and (34, 237)

(A)To determine the straight-line equation, we first determine the slope, m.

[tex]m=\dfrac{237-105}{34-12}\\\\=\dfrac{132}{22}\\\\m=6[/tex]

Substitution into y = mx + b, we have: y=6x+b

Next, we determine the value of b

When y=105, x=12

105=6(12)+b

b=105-6(12)=33

Therefore, an equation in the form y = mx + b is:

y=6x+33

(B)

Total Cost, y=6x+33

When 14 GB are used, i.e. x=14

y=6(14)+33

y=$117

If 14 GB are used, the total cost will be 117 dollars.

Answer:

1 - c

2 - a

3 - e

4 - d

5 - b

Answer:  c, a, e, d, b

Step-by-step explanation:

1. Angle: (c) A figure consisting of two rays with the same endpoint.

2. Circle: (a) The set of all points in a plane that are a given distance from a point. That distance is called the radius.

3. Point: (e) A location, has no size.

4. Ray: (d) The portion of a line that starts at one point and goes off to infinity.

5. Vertex: (b) A point where two or more rays or "arms" of an angle meet.

Answer:

(a)[tex]V=\dfrac{NI+FC}{SP-VC}[/tex]

(b)V=240 Units

Step-by-step explanation:

NI=(SP-VC)V-FC

We are required to make V the subject of the equation

Add FC to both sides

NI+FC=(SP-VC)V-FC+FC

NI+FC=(SP-VC)V

Divide both sides by SP-VC

[tex]V=\dfrac{NI+FC}{SP-VC}[/tex]

When

Volume of Sales

[tex]V=\dfrac{5000+1000}{40-15}\\=\dfrac{6000}{25}\\\\=240[/tex]

Answer:

Biker = 25 mph

Walker = 16⅔ mph

Step-by-step explanation:

Distance = rate × time

If x is the walker's speed and y is the biker's speed, then:

1.5 y − 1.5 x = 12.5

y = 1.5 x

Solve the system of equations.

1.5 y − y = 12.5

0.5 y = 12.5

y = 25

x = 16⅔

Answer:

25%

Step-by-step explanation:

She watched in total 60 movies. Out of that total, she rated 15 of them as very good. Thus, she rated 15/60 or 1/4 or a quarter of them as very good.

To convert 1/4 into a percentage, simply divide them and you get 0.25. The percentage is the first two digits after the decimal, which is 25%.

Take an arbitrary vector (x, y, z), which goes from the origin to some point (x, y, z) on the plane we want to find.

Subtract from this vector, the vector that points to [tex]P_0[/tex], which is (-3, 3, 1). This translates the first vector so that it starts at the point [tex]P_0[/tex] and is directed at some point (x, y, z). We get a new translated vector, (x + 3, y - 3, z - 1), which lies in the plane.

The normal vector to the plane is orthogonal to every vector in the plane. So taking the dot product of any vector in the plane with the normal to the plane will always result in 0. We use this to find the plane's equation:

[tex]\vec n\cdot((x,y,z)-P_0)=(1,4,-3)\cdot(x+3,y-3,z-1)=0[/tex]

[tex]\implies(x+3)+4(y-3)-3(z-1)=0[/tex]

[tex]\implies x+4y-3z=6[/tex]

and so the answer is D.

please see the attached picture...

Hope it helps...

Good luck on your assignment.....

Answer:

The answers are

Step-by-step explanation:

7 X -3 = -21

24/ -12= -2

Answer:

x = 5

Step-by-step explanation:

2 = x-3

Adding 3 to both sides

2+3 = x

5 = x

OR

x = 5

Answer:

[tex] \times = 2 + 3 \\ \\ x = 5[/tex]

Answer:

sdvsdsdfdff

Step-by-step explanation:

Answer:

4+3n

Step-by-step explanation:

We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.

Answer:

You can choose the largest subset by using ; Earliest finish time first

Step-by-step explanation:

In the set of requests { 1,2,....n} where the ith request corresponds to an interval of time for you to choose the largest subset such that none will overlap is by employing/using EARLIEST FINISH TIME FIRST method.

This is because we will have to sort out the finish times of the set of requests before we can proceed to choosing the largest subset contained in the set of requests.

Answer:There you go X is the middle, a only brother, b only sister.

a X =11

b X =9

a b X =14 (20-6)

a b 2x=20

X=6

So 6 in the middle, 6 on the outside, 5 only brothers, 3 only sisters. let me know if I missed anything but we have a total of 20, 6 with none, 11 with brothers and 9 with sisters

Step-by-step explanation:

Answer:

answer in cents = (500 - 7g ) cents

answer in dollars = ((500 - 7g)/100 ) dollar

Step-by-step explanation:

Money with Kenneth = $5

we know that 1 dollar = 100 cents

Money with Kenneth in cents= 5*100 = 500 cents

Money spent in 1 day = g cents

Money spent in 1 day in dollar = g /100 dollar

(a) Give you answer in cents

One week has 7 days

money spent in 7 days = Money spent in 1 day*7 = g*7 = 7g cents

Money left with Kenneth  after one week= total money Kenneth had in cents - money spent in 7 days  = (500 - 7g ) cents

(b) Give you answer in cents dollars

One week has 7 days

money spent in 7 days in dollars = Money spent in 1 day*7 = g/100*7 = 7g/100 cents

Money left with Kenneth  after one week= total money Kenneth had in dollars - money spent in 7 days  = (5 - 7g/100 ) dollar

=  ((500 - 7g)/100 ) dollar

Answer:

9 bags

Step-by-step explanation:

130, 134, 136, 145, 145, 147, 147, 151, 154

9 bags had at least 130 peanuts.

Complete Question

The complete question is shown on the first uploaded image

Answer:

The number of color are possible  [tex]\left n} \atop }} \right. C _r = 1215450[/tex]

Step-by-step explanation:

From the question we are told that  

   The number of  colors is  r = 4

    The sample size n =  75

The number of color that are possible can be mathematically evaluated as

       [tex]\left n} \atop }} \right. C _r = \frac{n !}{ (n-r)! r!}[/tex]

substituting values

         [tex]\left n} \atop }} \right. C _r = \frac{75 !}{ (75-4)! 4!}[/tex]

       [tex]\left n} \atop }} \right. C _r = \frac{75 !}{ (71)! 4 !}[/tex]

       [tex]\left n} \atop }} \right. C _r = \frac{75 *74 * 73* 72 * 71!}{ (71)! (4*3*2 *1)}[/tex]

        [tex]\left n} \atop }} \right. C _r = 1215450[/tex]

62 = 12.

7 x 0 = 7.

Four hundred and eight is written as 4008.

0.10 = point ten.

0.5 x 10 = 0.50.

6 -:- ½ = 3.

- 5 + 3 = -8.

4% is 0.4 as a decimal.

Answer:

[tex]180[/tex]

Step-by-step explanation:

[tex]6 \times 2 \times 3 \times 5[/tex]

[tex]12 \times 15[/tex]

[tex]=180[/tex]

Steps to solve:

6 * 2 + 3 - 5

~Multiply

12 + 3 - 5

~Add

15 - 5

~Subtract

10

Best of Luck!

Answer:

Option D is correct

Step-by-step explanation:

Applying the cosine theorem for triangle ABC, you would have:

cos (angle BAC) = (BA^2 + CA^2 - BC^2)/(2*BA*CA)

                           = (10^2 + 18^2 - 20^2)/(2*10*18)

                           = 24/360

=> angle BAC = ~86 deg

Hope this helps!

[tex](x+3)(x+5)[/tex]

[tex]x(x+5)+3(x+5)[/tex]

[tex]x^2+5x+3x+15[/tex]

[tex]\displaystyle x^2+8x+15[/tex]

Corrected Question

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home.  Where is the gym?

Answer:

(D)15th Street and 14th Avenue

Step-by-step explanation:

Ping's Location: (3rd Street, 6th Avenue)

Ari's Location: (21st Street, 18th Avenue)

The gym is at point P which is [tex]\dfrac{2}{3}[/tex] the distance from Ping's home to Ari's home.

That is, Point P divides the line segment in the ratio 2:1.

We use the section formula:

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

m:n=2:1, [tex](x_1,y_1)=(3,6), (x_2,y_2)=(21,18)[/tex]

[tex]=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)[/tex]

The gym is located at 15th Street and 14th Avenue.

Answer:

The correct option is (a) 0.9780.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 [tex]\mu_{\hat p}=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

 [tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

As the sample selected is quite large, i.e. n = 110 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.

The mean and standard deviation are:

[tex]\mu_{\hat p}=p=0.70\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.70(1-0.70)}{110}}=0.044[/tex]

Compute the probability that the sample proportion of students living in the dormitories falls in between 0.60 and 0.80 as follows:

[tex]P(0.60<\hat p<0.80)=P(\frac{0.60-0.70}{0.044}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.80-0.70}{0.044})[/tex]

                              [tex]=P(-2.27<Z<2.27)\\\\=P(Z<2.27)-P(Z<-2.27)\\\\=0.98840-0.01160\\\\=0.9768\\\\\approx0.9780[/tex]

*Use a z-table.

Thus, the probability that the sample proportion of students living in the dormitories falls in between 0.60 and 0.80 is approximately equal to 0.9780.

The correct option is (a).

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer:  x = -2 + 2 i or x = -2 - 2 i

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: Cost of a previously owned Camry.

X: Mileage of a previously owned Camry.

Scatter plot in attachment.

As you can see in the scatter plot, the price of the previously owned Camry decreases as their mileage increases this suggest that there is a negative linear regression between these two variables.

Hypothesis test for the y-intercept

H₀: β₀ = 0

H₁: β₀ ≠ 0

Level of significance α: 0.01

p-value < 0.0001

The decision is to reject the null hypothesis. You can conclude that the population mean of the cost of a previously owned Camry, when the mileage is zero, is different from zero.

H₀: β = 0

H₁: β ≠ 0

Level of significance α: 0.01

p-value: 0.0003

The decision is to reject the null hypothesis. You can conclude that the population mean of the cost of a previously owned Camry is modified when the mileage increases in one unit.

Answer:

The amount of interest for this loan is 16.6%.

Step-by-step explanation:

Since Levi will make a purchase for $ 3000 with your credit card, you should explore the two options you have:

-On the one hand, a down payment of $ 1000, with fees of $ 125.

-on the other, a down payment of $ 1,300, with fees of $ 110.

In both cases, the fees are the same, and the interest too. Therefore, to determine the amount of installments and interest, the difference between the down payment of one option and the other must be taken and divided by the difference between the value of the installments of either option.

Thus, the difference of the down payment of 300 (1300 - 1000) must be divided by 15 (125 - 110). This yields a result of 20 (300/15), with which that will be the total of quotas until both have paid the same amount of money.

Thus, given that 1300 + 110 x 20 = 3,500, and that 1000 + 125 x 20 = 3,500, in both cases the total value to be paid is $ 3,500. Since 500 is 16.6% of 3000, the total purchase interest will be 16.6%.

Answer:

yesseinafhinks

Step-by-step explanation:

Dividing by 10² is also the same thing as multiplying by 10^-2. In that case, we simply move the decimal places only 2 places back. That would give us 7.516, not 0.7516 (which is 3 times, not 2).

Answer:

B and D

Step-by-step explanation:

edge 2021

Answer:

(a) The probability that the thickness is less than 3.0 mm is 0.119.

(b) The probability that the thickness is more than 7.0 mm is 0.119.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is 0.762.

Step-by-step explanation:

We are given that thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm.

Let X = thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village.

So, X ~ Normal([tex]\mu=5.0,\sigma^{2} =1.7^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                           Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean thickness = 5.0 mm

           [tex]\sigma[/tex] = standard deviation = 1.7 mm

(a) The probability that the thickness is less than 3.0 mm is given by = P(X < 3.0 mm)

    P(X < 3.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{3.0-5.0}{1.7}[/tex] ) = P(Z < -1.18) = 1 - P(Z [tex]\leq[/tex] 1.18)

                                                           = 1 - 0.8810 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(b) The probability that the thickness is more than 7.0 mm is given by = P(X > 7.0 mm)

    P(X > 7.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{7.0-5.0}{1.7}[/tex] ) = P(Z > 1.18) = 1 - P(Z [tex]\leq[/tex] 1.18)

                                                           = 1 - 0.8810 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

(c) The probability that the thickness is between 3.0 mm and 7.0 mm is given by = P(3.0 mm < X < 7.0 mm) = P(X < 7.0 mm) - P(X [tex]\leq[/tex] 3.0 mm)

    P(X < 7.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{7.0-5.0}{1.7}[/tex] ) = P(Z < 1.18) = 0.881

    P(X [tex]\leq[/tex] 3.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{3.0-5.0}{1.7}[/tex] ) = P(Z [tex]\leq[/tex] -1.18) = 1 - P(Z < 1.18)

                                                           = 1 - 0.8810 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

Therefore, P(3.0 mm < X < 7.0 mm) = 0.881 - 0.119 = 0.762.

Based on the information given, the null hypothesis will be that there's no difference in the distribution of current sales.

The alternate hypothesis will be that's there's a difference in the distribution of current sales.

Also, it should be noted that the test statistic is 23.0951. The p-value is 0.00003 and the conclusion is that the distribution of sales among the departments has changed.

Learn more about null hypothesis on:

https://brainly.com/question/15980493

The null hypothesis would be that there is no difference in the prevalence of current sales based on the information provided. This alternative hypothesis says there was variance in the distribution of current sales.

Learn more:

brainly.com/question/14578907