Jake earned $62.50 in 5 hours. At the
same rate, how much will he earn in
8 hours?​

Answer:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

Step-by-step explanation:

This is just something to keep in mind

Answer:

-2

Step-by-step explanation:

Well, lt me hope the expression is complete amd correct.

Let's go on with the information you submitted.

y² + 7y + 4

When y= -6.

Let's substitute the value, y= -6 in the expression. We'll have to be careful with the signs.

y² + 7y + 4

-6² + 7(-6) + 4

36 - 42 + 4

40 - 42 =

-2

Complete Question:

The typical lifespan for various mammal species in captivity (L) in years has been related to average adult size (M) in kilograms according to the regression equation seen below.

[tex]ln L = 2.468 + 0.2 (lnM)[/tex]

A typical adult Meerkat weighs about 0.9 kilograms. What is the predicted lifespan of a Meerkat incaptivity, according to this equation? * 2 points 11.6 years 2.4 years 14.1 years 2.6 years 28.8 years

Answer:

Option A) L = 11.6 years

Step-by-step explanation:

From the given equation:

[tex]ln L = 2.468 + 0.2 (lnM)[/tex]..........(1)

Average adult size, M = 0.9 kg

Putting the value of M into the regression equation in (1)

[tex]ln L = 2.468 + 0.2 (ln0.9)\\ln L = 2.468 + (-0.02107)\\ln L = 2.447\\L = e^{2.447} \\L = 11.55 years[/tex]

The question is an illustration of regressions.

The lifespan of a typical adult Meerkat that weighs about 0.9 kilograms is (a) 11.6 years

The regression equation is given as:

[tex]\ln(L) = 2.468 + 0.2\ln(M)[/tex]

From the question, we have:

M = 0.9

Substitute 0.9 for M in [tex]\ln(L) = 2.468 + 0.2\ln(M)[/tex]

[tex]\ln(L) = 2.468 + 0.2\ln(0.9)[/tex]

Take natural logarithm of 0.9

[tex]\ln(L) = 2.468 + 0.2\times -0.1054[/tex]

[tex]\ln(L) = 2.468 -0.02108[/tex]

[tex]\ln(L) = 2.44692[/tex]

Take exponents of both sides

[tex]L = e^{2.44692}[/tex]

[tex]L = 11.553[/tex]

Approximate

[tex]L = 11.6[/tex]

Hence, the lifespan is (a) 11.6 years

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Answer:

Step-by-step explanation:

The given function is

[tex]f(t)=-10t^{2}+40t+8[/tex]

To find the maximum height reached by the ball, we need to find the vertex of the parabolla represented by the given quadratic equation.

Remember that a vertex has coordinates (h,k), where [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex].

According to the given function, we have

[tex]a=-10[/tex] and [tex]b=40[/tex]

[tex]h=-\frac{40}{2(-10)}=\frac{40}{20}=2[/tex]

[tex]k=f(2)=-10(2)^{2} +40(2)+8=-10(4)+80+8=-40+80+8=48[/tex]

So, the vertex has coordinates of (2,48), which means the maximum height reached by the baseball is 48 feet.

Answer:

c

Step-by-step explanation:

√(x-5)²=±√3

x-5=±√3

x=5±√3

To solve the quadratic equation (x - 5)² = 3, take the square root of both sides to give x - 5 = ± √3, then add 5 to each side to give x = 5 ± √3. The two possible solutions are x = 5 + √3 and x = 5 - √3.

The question is asking to solve the equation (x - 5)² = 3. This is a quadratic equation in the form (x-a)² = b. To solve it, you should start by taking the square root on both sides.

Step 1: √[(x - 5)²] = √[3]

This leads to: x - 5 = ± √3

Step 2: Followed by adding 5 to both sides

x = 5 ± √3

So there are two possible solutions: x = 5 + √3 and x = 5 - √3.

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Answer:

The solution to the equation is

x = -4

Step-by-step explanation:

We want to find the solution to the equation

(1/4)x - 1/8 = 7/8 + (1/2)x

First, add -(1/2)x + 1/8 to both sides of the equation.

(1/4)x - 1/8 - (1/2)x + 1/8 = 7/8 + (1/2)x - (1/2)x + 1/8

[1/4 - 1/2]x = 7/8 + 1/8

x(1 - 2)/4 = (7 + 1)/8

-(1/4)x = 8/8

-(1/4)x = 1

Multiply both sides by -4

x = -4

Answer:

x=-4

Step-by-step explanation:

The answer is 17 free throws because I said so and that’s the correct answer

Answer:

my answer was gunna be his but that person answered first so ill just sound like i copied that person

Step-by-step explanation:

Answer:

C) The initial number of leaves on the plant was 3.

Step-by-step explanation:

The plant has initially 3 leaves and is multiplied by 2 every week. Therefore, the answer is C.

Answer: 265

Step-by-step explanation:

Add up all the numbers and divide this value by the total number of terms,in this case 6 terms.

(153+ 176+ 249+ 150+ 620+ 242)/6 =265

Answer:

a) to remove bias in the study

b) The number of barbell curls performed by group who was encourged was higher than the group who was not encouraged

c) H0: mean of barbell curls for group encouraged= mean of barbell curls for group not encouraged

Ha: mean of barbell curls for group encouraged≠ mean of barbell curls for group not encouraged

d)  two sample t-test.

Requirement has been met as there are two separate groups whose means have to be compared. Median of box plot is equal to mean. Standard Deviation is equal to range divided by four. Sample size will have to be assumed

e) Encouragement affects the number of barbell curl performed by an individua

Step-by-step explanation:

a) random assignemnt removes bias in any study.

b) box plot is attached

c) null hypthesis and alternate hypothesis would compare means of the two distributions

d) As we are comparing two groups, we will use two sample t-test.

The median of box plot is equal to mean for both groups.

The rnge/4 is equal to standard deviation.

mean of encouraged group= 30

mean of not encoouraged group=19

SD of encouraged group= (75-5)/4= 15

SD of not encouraged group= (60-0)/4= 15

Assume number of inidivudals in encouraged group =15

assume number of individuals in not encouraged group = 14

e) test statistic= (mean1-mean2)/√(SD1²/(N1-1)+ SD2²/(N2-1))

                      = (30-19)/(√(15²/14+ 15²/13)

                       = 1.9734

Since test statistic is greater than p-value, null hypothesis is rejected.

Encouragement affects the number of barbell curl performed by an individual

Answer:

26

Step-by-step explanation:

p = 19

p + 7 = 19 + 7

= 26

So, the value of p + 7 is 26

Hope it helps and is useful :)

Answer:

pi is the ratio if the circumference over the diameter

Step-by-step explanation:

Answer:

-A 90% confidence interval would be narrower than the 95% confidence interval if we don't need to be as sure about our estimate.

-This confidence interval is not valid since the distribution of spending in the sample data is right skewed.

-The margin of error is $4.4.

-This confidence interval is valid since the sampling distribution of sample mean would be approximately normal with sample size of 436.

-We are 95% confident that the average spending of all American adults over this holiday season is between $80.31 and $89.11.

Step-by-step explanation:

A 90% confidence interval would be narrower than the 95% confidence interval if we don't need to be as sure about our estimate.

TRUE. The 90% confidence is less strict in its probability of having the mean within the interval, so it is narrower than the 95% CI. It relies more in the information given by the sample.

In order to decrease the margin of error of a 95% confidence interval to a third of what is is now, we would need to use a sample 3 times larger.

FALSE. The margin of error is z*σ/(n^0.5). So to reduce it by two thirds, the sample size n needs to be 3^2=9 times larger.

This confidence interval is not valid since the distribution of spending in the sample data is right skewed.

FALSE. There is no information about the skewness in the sample.

The margin of error is $4.4.

TRUE. The margin of error is (89.11-80.31)/2=$4.4.

We are 95% confident that the average spending of these 435 American adults over this holiday season is between $80.31 and $89.11.

FALSE. The CI is related to the populations mean. We are 95% confident that the average spending of the population is between $80.31 and $89.11.

This confidence interval is valid since the sampling distribution of sample mean would be approximately normal with sample size of 436.

TRUE. This happens accordingly to the Central Limit Theorem.

95% of random samples have a sample mean between $80.31 and $89.11.

FALSE. The confidence interval refers to the population mean.

We are 95% confident that the average spending of all American adults over this holiday season is between $80.31 and $89.11.

TRUE. This is the conclusion that is looked for when constructing a confidence interval.

Answer:

9

Step-by-step explanation:

[tex] \frac{(15 + 39)}{6} \\ \frac{54}{6 } \\ ans = 9 \\ [/tex]

Answer:

The dimensions are 32 ft by 16 ft

Step-by-step explanation:

Area  of the coffee and recreation room=512 square foot

LB=512

L=512/B

Perimeter of the Room = Perimeter of north wall+Perimeter of east wall+ Perimeter of west wall =L+2B (West and East are opposite)

Cost of the Perimeter=16L+4(2B)

[tex]C(B)=16(\frac{512}{B})+8B\\C(B)=\frac{8192+8B^2}{B}[/tex]

To minimize cost, first, we take the derivative of C(B)

Using quotient rule

[tex]C^{'}(B)=\frac{8B^2-8192}{B^2}[/tex]

Setting the derivative equal to zero

[tex]8B^2-8192=0\\8B^2=8192\\B^2=1024\\B=32 ft[/tex]

[tex]L=\frac{512}{B}=\frac{512}{32}=16ft[/tex]

The dimension of the cheapest recreation area will be 32 ft by 16 ft

Answer:

28 - 4x

Step-by-step explanation:

[tex]18 -2 [x + (x - 5)] \\ = 18 - 2 [x + x - 5] \\ = 18 - 2 [2x - 5] \\ = 18 -4x + 10 \\ = 28 - 4x \\ [/tex]

Answer:

It's either B or A

Step-by-step explanation:

If I had to choose one I would pick B because I did the math; and logically, that answer makes the most sense.

Answer:

-7

Step-by-step explanation:

Given  : sequence  56, 49, 42, 35, ...

To find : Find the common difference.

Solution : We have given that 56, 49, 42, 35, ...

By the common difference of an arithmetic sequence is:

d = a_{2} -a_{1}a2−a1

Where, a_{1}a1 is the first term and  a_{1}a1 is the second term.

Then common difference =  49 -56

                                          = -7 .

To solve for an in the equation 3ab = c, divide both sides by 3b, yielding a = c / (3b), with the condition that b is not zero.

To solve the equation 3ab = c for a, we need to isolate an on one side of the equation. Starting with the original equation:

3ab = c

We divide both sides of the equation by 3b to get:

a = c / (3b)

This is the solution for an in terms of b and c. It's important to note that b cannot be zero, as division by zero is undefined.

In the first study, moose drool reduces the toxin levels on grass. In the second study, canned soup consumption increases urinary BPA concentrations. In the third study, overeating for four weeks leads to long-term weight gain.

Question 1:

The notation for the quantity being estimated is the mean level of the toxin ergovaline on the grass (in ppm). Scientists estimate the mean level after treatment with moose drool to be 0.183 ppm.

The quantity that gives the best estimate is the mean level of the toxin ergovaline on the grass after treatment with moose drool (0.183 ppm).

A 95% confidence interval for the quantity being estimated is (0.183 - 1.96 * 0.016, 0.183 + 1.96 * 0.016), which is approximately (0.152, 0.214) ppm. This means there is a 95% chance that the true mean level of the toxin ergovaline on the grass after treatment with moose drool is between 0.152 and 0.214 ppm.

Question 2:

This is a matched pairs experiment because each participant is subjected to both treatments (canned soup and fresh soup). It was used to eliminate individual differences and control for variables that might affect the urinary BPA concentrations.

The parameter being estimated is the difference in means (canned minus fresh) of urinary BPA concentrations.

The 95% confidence interval for the difference in means is (19.6, 25.5) μg/L. This means that we are 95% confident that the true difference in mean urinary BPA concentrations between canned soup and fresh soup is between 19.6 and 25.5 μg/L.

If the study had included 500 participants instead of 75, we would expect the confidence interval to be narrower because a larger sample size reduces the standard error, leading to a more precise estimate.

Question 3:

The relevant parameter is the mean weight gain for participants two and a half years after the experiment.

The actual exact value of the parameter cannot be found unless we measure the weight gain for all individuals in the population.

A 95% confidence interval for the parameter is (6.8 - 1.96 * 1.2, 6.8 + 1.96 * 1.2), which is approximately (4.44, 9.16) lbs. This means there is a 95% chance that the true mean weight gain for participants two and a half years after the experiment is between 4.44 and 9.16 lbs.

The margin of error is 1.96 * 1.2 lbs, which is approximately 2.35 lbs. This means that the estimated mean weight gain may vary by up to 2.35 lbs from the true mean weight gain.

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Answer:

Since Ashley swam more laps per minute, she's a faster swimmer than Austin.

Step-by-step explanation:

Austin:

She swam 1.4 laps per minute

Ashley:

9 laps in 6 minutes

So, per minute

9/6 = 1.5 laps per minute

Since Ashley swam more laps per minute, she's a faster swimmer than Austin.

Answer:

t

Step-by-step explanation:

Answer:3+4-1

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

It's E because you have to add 13 and 14 and as you can see there's 14 boys so it's E.

The probability that the person chosen is a boy is 14/27.

Number of girls = 13

Number of boys = 14

Total students = 27

Probability is a measure of the likelihood of occurrence of an event.

P(event) = Favorable outcomes / total outcomes

Favourable outcomes = 14 because there are 14 boys

Total outcomes =27

So, the probability that the person chosen is a boy will be given by:

P(boy)=14/27

So, the probability that the person chosen is a boy is 14/27.

Hence, the probability that the person chosen is a boy is 14/27.

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Answer: 3 foot

Step-by-step explanation:

Answer:

Q= 27/10

Step-by-step explanation:

Answer: [tex]q=\frac{27}{10}[/tex]

Step-by-step explanation:

[tex]\frac{10}{9}=\frac{3}{q}[/tex]

Multiply by q.

[tex]q*\frac{10}{9}=\frac{3}{q}*q[/tex]

[tex]\frac{10}{9}q=3[/tex]

Now multiply by the reciprocal of [tex]\frac{10}{9}[/tex] which is the inverted fraction. [tex]\frac{9}{10}[/tex]

[tex]\frac{9}{10}*\frac{10}{9}q=3*\frac{9}{10}[/tex]

[tex]q=\frac{27}{10}[/tex]

Answer:

$15.88

Step-by-step explanation:

[tex]\frac{(21.28 - 16.72)}{(69-31)}[/tex]

$4.56 / 38 min

$0.12 / 1 min

76 - 69 = 7 minutes

7 x .12 = .84

16.72 - .84 = 15.88

Answer:

c. Opt-out: Allow consumers to quest to be removed from have been contacted.

Step-by-step explanation:

The Caffe Gutoso is considering a marketing strategy to promote its business. The owner want to send emails to its potential customers. Before sending the email the sender must insert email permission strategy as send an email from Caffe Gutoso and place and Opt-out option for those customers who are not willing to receive any email from the Caffe.

Answer:

Possible options:

A.$182,343

B.$122,792

C.$109,406

D.$270,629

Answer C

Step-by-step explanation:

Under this method the percentage completion done in the Beginning Inventory is ignored while calculating the equivalent completed units during the current period. Beginning Inventory Units are treated as fresh units introduced for production.

Cost Accounted for:

- The cost of opening work-in-progress and cost of the current period are aggregated and the aggregate cost is divided by output in terms of completed equivalent units.

- The units of Beginning Inventory of WIP and their cost are taken in full under this method.