what is the diagonal of asquare with length 3cm​

Answer:

300/60=5 more words per minute

80+5 = 85 words per minute

or

80 x 60 = 4800 + 300 = 5100

5100 / 60 = 85 words per minute

Hope this helps

Step-by-step explanation:

Answer:

C:

Step-by-step explanation:

In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc

So

AQD = ARC AD/2

<AQD = 78/2

<AQD = 39°

Answer:

3 Pages

Step-by-step explanation:

In the first instance, the student has time to read 50 pages of psychology and 10 pages of economics.

The student could read 30 pages of psychology and 70 pages of economics.

Since the two situations take the same amount of time, we have:

50p+10e=30p+70e

Collect like terms

50p-30p=70e-10e

20p=60e

Divide both sides by 20

p=3e

Therefore, in the time it will take the student to read 1 page of psychology, the student can read 3 pages of economics.

Answer:

Yes. There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

Step-by-step explanation:

We want to test the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

To perform this test we have a sample of 500 students which have paid their balance in full each month. The sample mean is $825 and the estimated sample deviation is considered $200.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=905\\\\H_a:\mu< 905[/tex]

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=825.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{200}{\sqrt{500}}=8.94[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{825-905}{8.94}=\dfrac{-80}{8.94}=-8.94[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=500-1=499[/tex]

This test is a left-tailed test, with 499 degrees of freedom and t=-8.94, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-8.94)=0[/tex]

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

Answer:

6000 grams the formula would be multiply the mass value by 1000

Step-by-step explanation:

Answer:

6000 grams

Step-by-step explanation:

6 kilograms

To convert kg into grams, we multiply by 1000

So,

=> 6 * 1000 grams

=> 6000 grams

Answer:

[tex]y^2+88y+484[/tex]

Step-by-step explanation:

[tex]4(y+11)^2-3y^2= \\\\4(y^2+22y+121)-3y^2= \\\\4y^2-3y^2+88y+484= \\\\y^2+88y+484[/tex]

Hope this helps!

Answer:

807,205

Step-by-step explanation:

Take the eight hundred and seven thousand and express that has 807,000. Then, add the two hundred and five at the end to get 807,205

The given statement is written in figures 807,205.

The given statement is eight hundred and seven thousand, two hundred and five in figures.

We need to write the given statement as the number.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

Now, eight hundred and seven thousand, two hundred and five=807,205.

Therefore, the given statement is written in figures 807,205.

To learn more about the numbers visit:

https://brainly.com/question/17429689.

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Answer:

11.51% probability that the mean annual salary of the sample is between $71000 and $73500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 74000, \sigma = 2500, n = 36, s = \frac{2500}{\sqrt{36}} = 416.67[/tex]

What is the probability that the mean annual salary of the sample is between $71000 and $73500?

This is the pvalue of Z when X = 73500 subtracted by the pvalue of Z when X = 71000. So

X = 73500

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{73500 - 74000}{416.67}[/tex]

[tex]Z = -1.2[/tex]

[tex]Z = -1.2[/tex] has a pvalue of 0.1151

X = 71000

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{71000 - 74000}{416.67}[/tex]

[tex]Z = -7.2[/tex]

[tex]Z = -7.2[/tex] has a pvalue of 0.

0.1151 - 0 = 0.1151

11.51% probability that the mean annual salary of the sample is between $71000 and $73500

Answer:

C:second coordinates

Step-by-step explanation:

A range is the set of output coordinates

The domain is the input coordinates

Domain is the x, range is the y

Answer: its definitly c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You can plug in each combination to see what would work

C is the only combination that satisfies all the constraints: it earns him more than $800 and is less than 120 plates.

The combination of 40 plates of garlic shrimp was sold, and 80 plates of spicy shrimp were sold can Pedro sell to meet his goal.

Given that,

Pedro owns a shrimp truck near the beach.

He sells garlic shrimp for $8 a plate and spicy shrimp for $6 a plate.

Each day Pedro stocks enough shrimp to sell at most 120 plates total, but he would like to earn at least $800.

We have to determine,

Which combination of garlic shrimp plates and spicy shrimp plates can Pedro sell to meet his goal?

According to the question,

Let the x plates of garlic shrimp sold,

And y plates of spicy shrimp sold.

Each day Pedro stocks enough shrimp to sell at most 120 plates,

Then,

Plates of garlic shrimp + Plates of spicy shrimp = Total number of shrimp sell each day.

[tex]\rm x + y =120[/tex]

And He sells garlic shrimp for $8 a plate and spicy shrimp for $6 a plate.

He would like to earn at least $800.

Then,

Cost of garlic shrimp per plate + Cost of spicy shrimp per plate = Total earning,

[tex]\rm 8x + 6y = 800[/tex]

On solving both the equation,

[tex]\rm x+y = 120\\\\8x + 6y = 800[/tex]

From equation 1,

[tex]\rm y= 120-x[/tex]

Substitute the value of x in equation 2,

[tex]\rm 8x +6y = 800\\\\8(120-y) + 6y = 800\\\\960 - 8y + 6y = 800\\\\-2y = 800-960\\\\-2y = -160\\\\y = \dfrac{-160}{-2}\\\\y = 80[/tex]

Substitute the value of y in equation 1,

[tex]\rm x + y =120\\\\x +80=120\\\\x = 120-80\\\\x =40[/tex]

Hence, The combination of 40 plates of garlic shrimp was sold, and 80 plates of spicy shrimp were sold can Pedro sell to meet his goal.

For more details refer to the link given below.

https://brainly.com/question/475594

Answer:

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0141

The margin of error is:

M = T*s = 2.0141*170.5 = 343.4

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month

The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Answer:

A $3225

Step-by-step explanation:

Total = $3725

Dectuable = Able to be deducted

$3725 - $500 = $3225

Answer:

10x-15a

Step-by-step explanation:

Answer:

[tex] m_{fresh}= 1000 \frac{Kg}{m^3} * 2.5x10^{-4} m^3 = 0.25 Kg[/tex]

And we can do a similar procedure for the sea water:

[tex] m_{sea}= \rho_{sea} V_{sea} [/tex]

And after convert the volume to m^3 we got:

[tex] m_{sea}= 1030 \frac{Kg}{m^3} * 1x10^{-4} m^3 = 0.103 Kg[/tex]

And then the density for the mixture would be given by:

[tex] \rho_{mixture}= \frac{m_{fresh} +m_{sea}}{v_{fresh} +v_{sea}}[/tex]

And replacing we got:

[tex] \rho_{mixt}= \frac{0.25 +0.103 Kg}{2.5x10^{-4} m^3 +1x10^{-4} m^3} = 1008.571 \frac{Kg}{m^3}[/tex]

Step-by-step explanation:

For this case we can begin calculating the mass for each type of water:

[tex] m_{fresh}= \rho_{fresh} V_{fresh} [/tex]

And after convert the volume to m^3 we got:

[tex] m_{fresh}= 1000 \frac{Kg}{m^3} * 2.5x10^{-4} m^3 = 0.25 Kg[/tex]

And we can do a similar procedure for the sea water:

[tex] m_{sea}= \rho_{sea} V_{sea} [/tex]

And after convert the volume to m^3 we got:

[tex] m_{sea}= 1030 \frac{Kg}{m^3} * 1x10^{-4} m^3 = 0.103 Kg[/tex]

And then the density for the mixture would be given by:

[tex] \rho_{mixture}= \frac{m_{fresh} +m_{sea}}{v_{fresh} +v_{sea}}[/tex]

And replacing we got:

[tex] \rho_{mixt}= \frac{0.25 +0.103 Kg}{2.5x10^{-4} m^3 +1x10^{-4} m^3} = 1008.571 \frac{Kg}{m^3}[/tex]

Answer:

10  miles

Step-by-step explanation:

tree points form a right triangle with sides 8, 6 and x

x is the hypotenuse of the triangle

x²=8²+6²=100

x=√100=10  miles

Answer:

-16x^5

Step-by-step explanation:

f(x)=x^3+10x^2-25x-250

f(x) = x^3-15x+x^2-250

f(x) = x^5-15x-250

f(x) = x^5 -x + 16

f(x) = -x^5+16

f(x) = -16x^5

// have a great day //

Answer:

an example of a literal question is "what size do you wear", "what time does the show start", "who was the protagonist in your story"  etc

Step-by-step explanation:

Answer:

  698 cm²

Step-by-step explanation:

The volume is given by ...

  V = LWH

Filling in the given values, we have ...

  1020 = (17)(5)y . . . . . . . using L=17, W=5, H=y

  y = 1020/(17·5) = 12

The surface area is given by ...

  A = 2(LW +H(L+W))

  A = 2(17·5 +12(17+5)) = 2(85 +264) . . . . . . . using L=17, W=5, H=y=12

  A = 698 . . . . square centimeters

Answer:

The number of the possible outcomes are:

12,13,14,15,16,17

21,23,24,25,26,27

31,32,34,35,36,37

41,42,43,45,46,47

51,52,53,54,56,57

61,62,63,64,65,67

71,72,73,74,75,76

The total number of possible outcomes = 42

Step-by-step explanation:

Given that :

the numbers 1 through 7 are written on different pieces of paper; &

Two of these numbered pieces of paper are selected without replacement;

Also,

a 2-digit number is formed using the first number drawn in the tens place and the second number drawn used in the ones place.

Then:

if the first number drawn is 1 , then the possible outcomes will be :

12,13,14,15,16,17

If the  first number drawn is 2; then the possible outcomes will be:

21,23,24,25,26,27

If the  first number drawn is 3; then the possible outcomes will be:

31,32,34,35,36,37

If the  first number drawn is 4; then the possible outcomes will be:

41,42,43,45,46,47

If the  first number drawn is 5; then the possible outcomes will be:

51,52,53,54,56,57

If the  first number drawn is 6; then the possible outcomes will be:

61,62,63,64,65,67

If the  first number drawn is 7; then the possible outcomes will be:

71,72,73,74,75,76

The number of the possible outcomes are:

12,13,14,15,16,17

21,23,24,25,26,27

31,32,34,35,36,37

41,42,43,45,46,47

51,52,53,54,56,57

61,62,63,64,65,67

71,72,73,74,75,76

The total number of possible outcomes = 7 × 6 = 42

Answer:

Second option

Step-by-step explanation:

For a set to represent a function, each input value in the set domain should match with one and only one output value of set range.

The option that follows this rule os second option as 1 is matched with 2 only, and 3 is matched with 3 only, and 5 is matched with 7 only.

Answer:

900000cubic feet

Step-by-step explanation:

capacity of dump hole= 250*120*30

= 900000cubic feet

Answer:

c

Step-by-step explanation:

Answer:

80% or 4/5

Step-by-step explanation:

the probability of not choosing a black shirt

P = number of shirts that are not black ÷ total number of shirts

Total number of shirts = 10

Number of black shirts = 2

Number of shirts that are not black = 10-2 = 8

P = 8/10 = 4/5 or 80%

Answer:

The correct answer would be D) 4.8x + 1.2 = 3.6; x = 0.5 mile

Step-by-step explanation:

This is because laps would be the dependent variable, so we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant. Now we can solve to make sure this is the right equation.

4.8x + 1.2 = 3.6

4.8x = 2.4

x = 0.5

Answer:

D) 4.8x + 1.2 = 3.6; x = 0.5 miles

Answer:

7/10=0.7

3+0.7=3.7

3.7

Hope this helps

Step-by-step explanation:

Answer:

∠E≅∠P || Given

∠EKG≅∠PKM || Vertical angles

EK≅KP || Midpoint Theorem

EKG≅PKM || AAS(Angle Angle Side)

EG≅MP || CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

Step-by-step explanation:

Answer:

Step-by-step explanation:

  We know that = Liability

[tex]PLiability= \frac{6000}{1.05^{4} }[/tex]

[tex]\frac{6000}{1.05^{4} }=\frac{A}{1.05^{2} }+\frac{B}{1.05^{6} }\\\\6000(1.05^{2} ) = (1.05^{4} ) +B\\B= 6000(1.05^{2} )-(1.05^{4} )----------(1)\\\\[/tex]

dAssets =dLiability

[tex]4=2*\frac{\frac{A}{1.05^2} }{\frac{6000}{1.05^4} } +6*\frac{\frac{B}{1.05^6} }{\frac{6000}{1.05^4} } \\4={\frac{6000}{1.05^4}= 2*\frac{A}{1.05^2} +6*\frac{B}{1.05^6}\\\\4[6000(1.05^2)]= 2*A(1.05^4)+6*B[/tex]

From equation 1 we have

[tex]4[6000(1.05^2)]= 2*A(1.05^4)+6*6000(1.05^2)-6*A(1.05^4)\\4*A(1.05^4)=2*6000(1.05^2)\\A=\frac{2*6000(1.05^2)}{4*(1.05^4)} \\A=272.088435\\[/tex]

Going back to equation 1 we have

[tex]B= 6000(1.05^2)-A(1.05^4)\\B= 3307.5\\|A-B|= |2721.088435-3307.5|= 586.411565[/tex]

Answer:

When x is 2, y is 16

Step-by-step explanation:

If y is 48 and x is 6, then y is 8 when x is 1.

Because of this, when x is 2, y will be 16.

Please mark Brainliest

[tex] \purple \bold{a^2 - b^2} [/tex]

Step-by-step explanation:

X+4 is prime. X2-9can be factored using the [tex] \purple \bold{a^2 - b^2} [/tex] formula

[tex] x^2 - 9\\

=x^2 - 3^2 \\

= (x+3)(x-3)[/tex]

Answer: difference-of-squares

next one is (x+3)(x-3)(x+4)

Step-by-step explanation:

just took it on ed genuity :)

Answer:

  C.  y ≤ 1

Step-by-step explanation:

The maximum value of the function is 1. So, the range is all values of y less than or equal to that.

  y ≤ 1