The point (0,0) is a solution to which of these inequalities? ​

Answer:

8p + 2s <= 150

Step-by-step explanation:

Let p = number of a pizza.

Let s = price of a bottle of soda.

The inequality is

8p + 2s <= 150

Answer:

a) From the empirical rule we know that within 3 deviations from the mean we have 99.7% of the data

b) [tex] P(191.5<X<319.5)[/tex]

We can find the number of deviations from the mean for the limits using the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{191.5-255.4}{63.9}= -1[/tex]

[tex] z=\frac{319.3-255.4}{63.9}= 1[/tex]

So we have values within 1 deviation from the mean and using the empirical rule we know that we have 68% of the values for this case

Step-by-step explanation:

For this case we have the following properties for the random variable of interest "blood platelet counts"

[tex]\mu = 255.4[/tex] represent the mean

[tex]\sigma = 63.9[/tex] represent the population deviation

Part a

From the empirical rule we know that within 3 deviations from the mean we have 99.7% of the data

Part b

We want this probability:

[tex] P(191.5<X<319.5)[/tex]

We can find the number of deviations from the mean for the limits using the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And replacing we got:

[tex] z=\frac{191.5-255.4}{63.9}= -1[/tex]

[tex] z=\frac{319.3-255.4}{63.9}= 1[/tex]

So we have values within 1 deviation from the mean and using the empirical rule we know that we have 68% of the values for this case

Answer:

As the P-value (0.0107) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that listening to music while solving math problems will make a particular brain area more active.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that listening to music while solving math problems will make a particular brain area more active.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=35\\\\H_a:\mu> 35[/tex]

The significance level is 0.01.

The sample has a size n=1.

The sample mean is M=58.

The standard deviation of the population is known and has a value of σ=10.

We can calculate the standard error as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{1}}=10[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{58-35}{10}=\dfrac{23}{10}=2.3[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>2.3)=0.0107[/tex]

As the P-value (0.0107) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that listening to music while solving math problems will make a particular brain area more active.

Answer:

$450000*0.015=$6750

Step-by-step explanation:

1.5% as a decimal is 0.015

You then multiply the sale amount by the decimal to get $6750

Answer:

One solution

Step-by-step explanation:

12x+6=5x

7x+6=0

7x=-6

x=-6/7

Only one solution. Hope this helps!

Complete question:

Consider a binomial experiment with n = 20 and p = .70.

A. Compute f(12).

B. Compute f(16).

C. Compute P(x≥ 16).

D. Compute P(x≤15).

E. Compute E(x).

F. Compute Var(x).

Answer:

a) 0.1144

b) 0.1304

c) 0.2375

d) 0.7625

e) 14

f) 4.2

Step-by-step explanation:

Given:

n = 20

p = 0.70

q = 1 - p ==>  1 - 0.70 = 0.30

a) Use the formula:

[tex] P(x) = CC\left(\begin{array}{ccc}n\\x\end{array}\right) p^x q^(^n^-^x^) [/tex]

Thus,

[tex]P(12) = C\left(\begin{array}{ccc}20\\12\end{array}\right) (0.7^1^2) (0.3^(^2^0^-^1^2^) )[/tex]

[tex] = 125970*0.0138*0.00006 [/tex]

[tex] = 0.1144 [/tex]

b) [tex]P(16) = C\left(\begin{array}{ccc}20\\16\end{array}\right) 0.7^1^6 (0.3^(^2^0^-^1^6^))[/tex]

[tex] = 4845 * 0.0033 * 0.0081 [/tex]

[tex] = 0.1304 [/tex]

c) Compute P(x≥16):

P(x ≥ 16) = P(16) + P(17) + P(18) + P(19) + P(20)

[tex]= C\left(\begin{array}{ccc}20\\16\end{array}\right) 0.7^1^6 (0.3^(^2^0^-^1^6^)) + C\left(\begin{array}{ccc}20\\17\end{array}\right) 0.7^1^7 (0.3^(^2^0^-^1^7^) ) + C\left(\begin{array}{ccc}20\\18\end{array}\right) 0.7^1^8 (0.3^(^2^0^-^1^8^)) + C\left(\begin{array}{ccc}20\\19\end{array}\right) 0.7^1^9 (0.3^(^2^0^-^1^9^)) + C\left(\begin{array}{ccc}20\\20\end{array}\right) 0.7^2^0 (0.3^(^2^0^-^2^0^))[/tex]

[tex] = 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.2375 [/tex]

d) P(x ≤ 15):

= 1 - P(x ≥ 16)

= 1 - 0.2375

= 0.7625

e) E(x): use the formula, n * p.

= n*p

= 20 * 0.7

= 14

f) Var(x)

Use the formula: npq

npq = 20 * 0.7 * 0.3

= 4.2

σ

Answer:

Option c

Step-by-step explanation:

Systematic sampling is a probability type of samplng method in which elements are picked from a large population at a random start point and then the others are picked by constant periodic intervals which is usually done by dividing the population size by the chosen sample size. Then do a random start between 1 and the sampling interval, then repeatedly add the sampling interval to select subsequent elements.

Answer:

Please the read the answer below

Step-by-step explanation:

In order to find the 95% confidence interval for the difference of the two populations, you use the following formula (which is available when the population size is greater than 30):

CI = [tex](p_1-p_2)\pm Z_{\alpha/2}(\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2}})[/tex]     (1)

where:

p1: proportion of one population = 52/9853 = 0.0052

p2: proportion of the other population = 41/11541 = 0.0035

α: tail area = 1 - 0.95 = 0.05

Z_α/2: Z factor of normal distribution = Z_0.025 = 1.96

n1: sample of the first population = 52

n2: sample of the second population = 41

You replace the values of all parameters in the equation (1) :

[tex]CI =(0.0052-0.0035)\pm (1.96)(\sqrt{\frac{0.0052(1-0.0052)}{52}+\frac{0.0035(1-0.0035)}{41}})\\\\CI=0.0017\pm0.026[/tex]

By the result obtained in the solution, you can conclude that the sample is not enough, because the margin error is greater that the difference of proportion of each sample population.

Answer:

122 in2

Step-by-step explanation:

area = (2*tri area) + (3*rec area)

area = (2*0.5*4*3.5) + (3*4*9)

area = 14 + 108 = 122 Squared in

Answer:

4,500 x 5 = 22,500

4,500 divided by 5 = 900

4,500 plus 5 = 4,505

4,500 minus 5 = 4,495

Step-by-step explanation:

it is either one of those that u have to choose from good luck

Answer: -6

Step-by-step explanation: The slope of a line is rise divided by run. This is shown by the equation (y2-y1) / (x2-x1) = slope of a line.

For this specific line you can plug in two points such as (2,-4) and (1,2)

[2-(-4)] / (1-2) = -6

Hope this helps :)

Answer:

V = 512 ft^3

Step-by-step explanation:

The volume of a prism is length * width * height

V = 8*8*8

V = 512 ft^3

The volume of a rectangular prism is lwh.

V=lwh

V=8*8*8

V=8^3

V=512

Answer:

The probability that a basketball will weigh between 21.4 and 23.8 ounces is 0.62465.

Step-by-step explanation:

We have all this information from the question:

To answer this question:

Important concepts to remember:

For this, it is crucial three concepts: the standard normal distribution, the standard normal table, and z-scores:

Roughly speaking, the standard normal distribution is a normal distribution for standardized values. We can obtain standardized values using the formula for z-scores:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

And these values represent the distance from the population mean in standard deviation units. When they are positive, these values are above the population mean, [tex] \\ \mu[/tex]. In case they are negative, they are below [tex] \\ \mu[/tex].

We can obtain probabilities for any normally distributed data using the standard normal distribution. These values are tabulated into the standard normal table, available in Statistics books or on the Internet.

In general, these values are cumulative probabilities, that is, probabilities from [tex] \\ -\infty[/tex] to the value x in question (a raw value).

At this stage, we have enough information to solve the question.

Solving the question

Cumulative probability for [tex] \\ P(X<21.4)[/tex] ounces.

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{21.4 - 22}{1.2}[/tex]

[tex] \\ z = \frac{-0.6}{1.2}[/tex]

[tex] \\ z = -0.5[/tex]

That is, the raw score [tex] \\ x = 21.4[/tex] is 0.5 standard deviations below, [tex] \\ z = -0.5[/tex], the population mean.

Since [tex] \\ P(X<21.4) = P(Z<-0.5)[/tex], we can consult the standard normal table, using [tex] \\ z = -0.5[/tex] as an entry (using its first column).

The first row of this table has a second digit in the decimal part for the value of z. In this case, this second digit is zero (or to be more precise, -0.00), because [tex] \\ z = -0.50[/tex]. With the intersection of these two values in the table, namely, -0.5 and -0.00, we finally obtain the cumulative probability, [tex] \\ P(Z<-0.50) = 0.30854[/tex].

Thus, [tex] \\ P(X<21.4) = P(Z<-0.50) = 0.30854[/tex]

Cumulative probability for [tex] \\ P(X<23.8)[/tex] ounces.

We can follow the same steps as before:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{23.8 - 22.0}{1.2}[/tex]

[tex] \\ z = \frac{1.8}{1.2}[/tex]

[tex] \\ z = 1.5[/tex]

[tex] \\ P(X<23.8) = P(Z<1.5) = 0.93319[/tex] using the standard normal table (z =1.5, +0.00).

Therefore, [tex] \\ P(X<23.8) = P(Z<1.5) = 0.93319[/tex]

Then, to answer the probability that a basketball will weigh between 21.4 and 23.8 ounces, we subtract (as we mentioned before) both cumulative probabilities:

[tex] \\ P(21.4 < X < 23.8) = P(-0.5 < Z < 1.5) = P(X<23.8) - P(X<21.4) = P(Z<1.5) - P(Z<-0.5) = 0.93319 - 0.30854 = 0.62465[/tex]

Then, the probability that a basketball will weigh between 21.4 and 23.8 ounces is 0.62465.

We can see this probability represented by the shaded area in the below graph.  

Answer: the slope is 2

Step-by-step explanation:

2x-y=16

-y=16-2x

y=2x-16

Answer:

Step 1

Step-by-step explanation:

Deepak given problem is: [tex]\dfrac52-3x-5+4x=-\dfrac74[/tex]

[tex]\left|\begin{array}{c|cc}$Steps&$Resulting Equation\\$1, Use the distributive property to simplify.&\dfrac52-5+4x-3x=-\dfrac74\\$2, Simplify by combining like terms&-\dfrac52+x=-\dfrac74\end{array}\right|[/tex]

[tex]\left|\begin{array}{c|cc}$3, Use the addition property of equality&-\dfrac52+\dfrac52+x=-\dfrac74+\dfrac{10}{4}\\$4, Simplify by combining like terms&x=\dfrac34\end{array}\right|[/tex]

In Step 1, he simply rearranged like terms. He did not use the distributive property. Therefore, the instruction in Step 1 was incorrect.

Answer:

step 1

Step-by-step explanation:

Answer:

D. e - 35

Step-by-step explanation:

We have that:

George earned e extra points.

Kate earned k extra points.

Kate earned 35 fewer extra credit points than George.

This means that k is e subtracted by 35, that is:

k = e - 35

So the correct answer is:

D. e - 35

Answer:

  15

Step-by-step explanation:

The general form of an exponential equation is ...

  f(x) = (initial value)(growth factor)^x

That is, the "growth factor" is the base of the exponent. In your equation ...

  f(x) = (1/5)(15^x)

the growth factor is 15.

Answer:

D

Step-by-step explanation:

because you put the one and the five and BOOM the inter carol makes the wheel go round and round.

Answer:

We have to multiply P(A) and P(B) which is 0.0045 * 0.01 * 100 (to make it a percentage) = 0.0045%.

Answer:

True

Step-by-step explanation:

We know that sales of store 1 and store 2 will be two independent sample and given that weeky sales are normally  distributed therefore we can use indepedence means method.

That is to say, we are affirming that what they say is correct therefore the correct answer is "true".

Answer:

Step-by-step explanation:

Using the compound interest formula

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

A = final amount after t years

P = amount borrowed = Principal = 6709R

r = rate (in %) = 12 1/3%

n = number of times the interest is applied = 2 months

t = time the period elapsed = 2 1/2 years

[tex]A = 6709(1+\frac{\frac{37}{300} }{\frac{2}{12} } )^{\frac{2}{12} *\frac{5}{2} } \\A = 6709(1+0.1233/0.1667)^{2\0.41667} \\A = 6709(1+0.7397)^{2\0.41667} \\A = 6709(1.7397)^{2\0.41667} \\A = 6709(3.81195)\\A = 25,574.373[/tex]

She will have to pay 25,574.373R after 2 and a half years

interest paid by her = Amount - Principal

Interest paid by her = 25,574.373 - 6709

Interest paid by her = 18,865.373R

Answer:

The factorized form will be {(2x^3)-1}×{(8x^3)+9}=0

The simplified form will be (16x^6)+(10x^3)-9=0

Answer:  b) they ARE similar because BRAD:KELY is 1:2

Step-by-step explanation:

In order for the shapes to be similar they must have congruent angles and proportional sides.

With the options a through d given, we can assume that their sides are proportional.  Since BRAD is smaller than KELY, BRAD would have the smaller number in the ratio.

Answer:

They are similar because Brad and Kelly are 1:2

Step-by-step explanation:

Answer:

g(-5) = 2

g(0) = -2

g(1) = 2

Step-by-step explanation:

g(-5) satisfies x <-2, since -5 is less than -2.

g(0) satisfies -2≤x≤1 since 0 is greater than 2 but less than 1. When we plug in 0 into (x+1)^2 -2, we get -2.

g(1) satisfies -2≤x≤1 since it says that x is less than OR EQUAL TO 1. We then plug in 1 into (x+1)^2 -2 and get 2.

Answer:

is that the question because I'm not sure

Answer:

whats the full question

Step-by-step explanation:

Answer:

  340 square feet

Step-by-step explanation:

If we "unwrap" the painted surface from the shed, it will have the shape shown in the attachment. It is essentially a 40' by 8' rectangle with two 10' wide by 2' high triangles added.

The rectangle area is ...

  A = LW = (40 ft)(8 ft) = 320 ft²

The total area of the two triangles is ...

  A = 2(1/2)bh = (10 ft)(2 ft) = 20 ft²

Then the painted area is ...

  total area = 320 ft² +20 ft²

  total area = 340 ft²

Answer: 90 minutes

Step-by-step explanation:

Area of the side = 15 x 18 = 270 sq. ft.

3 sq. ft take a minute to paint

270 sq. ft. will take 270 / 3

= 90 minutes

Answer:

c. number of items - discrete; total time - continuous

Step-by-step explanation:

The question is incomplete due to the lack of the following options:

to. number of items - continuous; total time - discrete

b. number of items - continuous; total time - continuous

c. number of items - discrete; total time - continuous

d. number of items - discrete; total time - discrete

Knowing this, the type of variables recorded by managers of the home improvement store are,

c. number of items - discrete; total time - continuous

Discrete variables are those that are well defined and in the finite set of values and continuous variables are variables that can take a value between any of the other two values.

Given Information:

Population proportion = p =  0.55

Sample size 1 = n₁ = 30

Sample size 2 = n₂ = 100

Sample size 3 = n₃ = 1000

Required Information:

Standard error = σ = ?

Answer:

[tex]$ \sigma_1 = 0.091 $[/tex]

[tex]$ \sigma_2 = 0.050 $[/tex]

[tex]$ \sigma_3 = 0.016 $[/tex]

Step-by-step explanation:

The standard error for sample proportions from a population is given by

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

Where p is the population proportion and n is the sample size.

For sample size n₁ = 30

[tex]$ \sigma_1 = \sqrt{\frac{p(1-p)}{n_1} } $[/tex]

[tex]$ \sigma_1 = \sqrt{\frac{0.55(1-0.55)}{30} } $[/tex]

[tex]$ \sigma_1 = 0.091 $[/tex]

For sample size n₂ = 100

[tex]$ \sigma_2 = \sqrt{\frac{p(1-p)}{n_2} } $[/tex]

[tex]$ \sigma_2 = \sqrt{\frac{0.55(1-0.55)}{100} } $[/tex]

[tex]$ \sigma_2 = 0.050 $[/tex]

For sample size n₃ = 1000

[tex]$ \sigma_3 = \sqrt{\frac{p(1-p)}{n_3} } $[/tex]

[tex]$ \sigma_3 = \sqrt{\frac{0.55(1-0.55)}{1000} } $[/tex]

[tex]$ \sigma_3 = 0.016 $[/tex]

As you can notice, the standard error decreases as the sample size increases.

Therefore, the greater the sample size lesser will be the standard error.

Answer:

? = 5

Step-by-step explanation:

Parallel lines are made with 2 lines having the same slope but different y-intercept.

Answer:

5

Step-by-step explanation:

Parallel lines have same slope

y= 5x+2

y= 5x+3