What is the completely factored form of 5k^2 - 46k + 77?

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

John has earned a 77, 76, and 84 on his first three projects of the semester.

He hopes to have an B quiz average (80 or above).

We need to find the lowest score John can make on his fourth and final project. Let the score is x.

Average = sum of numbers/total numbers

[tex]80=\dfrac{77+76+84+x}{4}\\\\320=237+x\\\\x=83[/tex]

So, he must score 83 or more on his fourth project so as to make average 80 re above.

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

[tex]z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25[/tex]

And

[tex]z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}[/tex]

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

There is no fraction bars

its just the number under 0 of ur table

Answer:

the answer is seven:7

Step-by-step explanation:

i got it right

Answer:

7

Step-by-step explanation:

I took the test before

Answer:

8000

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

We have the expression:

[tex](8+t)^3-6[/tex]

And we want to evaluate it when t=2.

Hence, we will substitute 2 for t and evaluate. Therefore:

[tex]=(8+2)^3-6 \\\\ =(10)^3-6\\ \\ =1000-6\\\\=994[/tex]

Therefore, our final answer is 994.

Answer:

The probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is:

[tex]\mu=21604\\\sigma=727\\n=193[/tex]

As the sample size is large, i.e. n = 193 > 30 the central limit theorem can be used to approximate the sampling distribution of sample mean per capita income.

Compute the probability that the sample mean would differ from the true mean by less than 36 dollars as follows:

[tex]P(\bar X-\mu<36)=P(\frac{\bar X-\mu}{\sigma_{\bar x}}<\frac{36}{727/\sqrt{193}})\\\\=P(Z<0.69)\\\\=0.7549[/tex]

Thus, the probability that the sample mean would differ from the true mean by less than 36 dollars is 0.7549.

Answer:

option C

Step-by-step explanation:

I hope now it's helped

Answer:

B. Investors will have to pay tax on the interest income received from the bonds.

Explanation:

Interest earned from corporate bonds and capital gained through corporate bond transactions is taxable income.  The interest earned from a corporate bond is subject to taxation by both the federal and state governments.

The government will not sell sin Qua corporation bonds as it is a public company.  Bonds do not pay interest quarterly but rather semi-annually or annually.  Again, the maturity of the bond is determined at the time they are issued. Creditworthiness will only affect the bond price but not its maturity period.

Investors will have to pay tax on the interest income received from the bonds is thus the correct statement.

Answer:

145

Step-by-step explanation:

Find the perimeter of the base

5*4=20

Find the surface area of the base

5*5=25

T.S.A.=[tex]\frac{1}{2}[/tex](20)(6)+25   = 145

Answer:

Step-by-step explanation:

surface area of a square pyramid

= Area of base + 1/2 base perimeter * slant height

= (5 x 5) + (1/2 x (5x4) x 6)

= 25 + 60

= 85 ft²

Answer:

Step-by-step explanation:

Given the equation of the unit price expressed as;

p = 7 + 2q1⁄3, we are to find the value of q when p = 20

20 = 7 + 2q1⁄3

20-7 = 2q/3

13 = 2q/3

Cross multiply

13 * 3 = 2q

39 = 2q

q = 39/2

q = $19.5

Hence the producer surplus is 1950 cents

Answer:8

Step-by-step explanation:

Answer:

1 Solution

Step-by-step explanation:

Answer:

x= 500 y= 1500

Step-by-step explanation:

Isolate x or y in the first equation

Isolating for x would be x= -y+2000

Substitute X=-y+2000 into equation 10x+20y=35000

10(-y+2000)+20y=35000

Exapnd the equation above and you should get y=1500

Same steps for finding x by isloating for y

Answer:

You multiply both sides by 4

Step-by-step explanation:

That's why we multiply by 4. Hope this helps

Answer:

multiply by 4

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I took the test and it was 1 inch equals 4 feet :)

The scale is  1 inch equals 4 feet.

When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.

Given:

Actual length if park = 48 feet

and, Scale drawing length= 12 inch

So, scale be choose be

= 48/ 12

= 4

Hence, the scale is  1 inch equals 4 feet.

Learn more about scale factor here:

https://brainly.com/question/22312172

#SPJ5

Answer:

b=-3

Step-by-step explanation:

-9b/-9=37/-9

b=-3

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference of a circle is expressed as;

C = 2πr

r is the radius of the circle

Given

C = 53.38cm

radius r = 8.5cm

Substitute into the formula to get π

From the formula;

π = C/2r

π = 53.38/2(8.5)

π = 53.38/17

π = 3.14cm

The value of pi is 3.14 cm

Answer:

It's C

Step-by-step explanation:

Answer:

It would be 993 with a remainder of 6

Step-by-step explanation:

993 x 7 = 6951

6957 - 6951 = 6 remainder

Hoped this helps

Answer:

993 ; Remainder: 6

Step-by-step explanation:

Calculator

[tex]\text{ Hi there! =)}[/tex]

[tex]\large\boxed{n = 15.4}[/tex]

[tex]\frac{11}{10} =\frac{n}{14} \\\\\text{ Cross multiply to solve for n:}\\\\11 * 14 = 10 * n\\\\154 = 10n\\\\n = 15.4[/tex]

Answer:

why have so many tabs lol

Step-by-step explanation:

Complete question :

The computer output and scatter plot output pertaining to the question can be found in the attached picture.

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Relationship between height and fastest serve speed :

According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

B.)

Equation of least square regression line :

From the computer output and scatter plot above :

Recall :

y = mx + c

y =predicted variable (s fastest serve)

m= slope

x = predictor variable (height)

c = intercept

y = 84.98x + 68.81

C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables

D.) fastest serve of tennis player with height 1.7m

y = 84.98x + 68.81

y = 84.98(1.7) + 68.81

y = 213.276km/hr

E.)

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

F.)

Height = 2.06m = x

y = 84.98(2.06) + 68.81

y = 243.8688 km/hr

Residual = Actual - predicted

Actual = 230 ; predicted = 243.8688

Residual = 230 - 243.8688

Residual = −13.8688

Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr

she has $7.85 in quarters and dimes

quarters = 25c

dimes = 10c

she has 12 more

so, we know she has AT LEAST 12 quarters

25 x 12 = 300 = $3.00

but we also know its not possible for her to have more dimes quarters

( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )

Answer:

6

Step-by-step explanation:

5x5=25

then add 17, 25+17=42

then divide by 7, 47÷7=6

Answer:

I think 22.2814177

Step-by-step explanation:

I used 3.14 that's what my teachers tell me to use sorry if it's wrong

Answer: 22.2927232313

Step-by-step explanation: *Pi = 3.14159265359

                                              *3.14159265359 x 2444.57 = 7,679.84315319

                                               *7,679.84315319 ÷ 344.5 = 22.2927232313

    Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)

Answer:

i think its E

Step-by-step explanation: