Tara has 1 3/5

yards of fabric. She needs

2 1/2

times this amount to make a shopping bag. How much fabric does Tara need to make the bag?

Answer & Step-by-step explanation:

(2/5 + 3/4) * [ 3 - (1/4 : 1/5)]

When you see this sign, : , it usually means to divide the numbers because they represent some form of a ratio. So, we will divide 1/4 by 1/5.

First, do all of the operations in the parentheses ().

(2/5 + 3/4)*[ 3 - (1/4 : 1/5)]

(23/20) * [ 3 - (5/4)]

(23/20) * (7/4)

Now, we multiply 23/20 by 7/4.

(23/20) * (7/4)

161/80

This number can not be simplified so we will keep it as it is.

So, the answer to this expression is 161/80

Answer:

6 sqrt(5)

Step-by-step explanation:

(3√2) ( √10)

We know that sqrt(a) * sqrt(b) = sqrt(ab)

3 sqrt(2*10)

3 sqrt(20)

3 sqrt(4*5)

We know that sqrt(a) * sqrt(b) = sqrt(ab)

3 sqrt(4) sqrt(5)

3 * 2 * sqrt(5)

6 sqrt(5)

Answer:

Step-by-step explanation:

1) The distance that Lauren drove to the coast is the same as the distance he drove back from the coast. It means that the total miles that Lauren drove in this round-trip is

75 + 75 = 150 miles

2) time = distance/speed

Time spent in driving to the coast is

75/75 = 1 hour

His return speed is 25 mph

Time spent in driving back from the coast is

75/25 = 3 hours

3) Average speed = total distance/total time

Total distance = 75 + 75 = 150 miles

Total time = 1 + 3 = 4 hours

Average speed = 150/4 = 37.5 mph

Answer:

48+25=x

Step-by-step explanation:

Answer:

The answer is D :)

Thank me later.

Answer:

it should be 40.5 i believe

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we are dealing with binomial probability in this scenario, then the outcome is either a success or a failure. A success in this case means that a chosen adult has a bachelor's degree. The probability of success, p would be 20/100 = 0.2

The number of adults sampled, n is 100

The number of success, x is 60

The probability that more than 60 adults have a bachelor's degree P(x >60) would be represented as

d. P(x<60)=binomcdf (100.0.20.60)

binompdf is used when we want to determine P(x = 60)

Answer:

2.9375

Step-by-step explanation:

3/4×47/12

3×47/4×12

141/48

2.9375

Answer:

4x12=48

48+7=55

4 7/12 as an improper fraction is 55/12

multiply the numerator with numerator and denominator with denominator

3x55=165

4x12=48

165/48 can be divided by 3

165/3=55__48/3=16

55/16 is simplified

55/16=3 r 7 so the fraction is 3 7/16

Hope this helps

Step-by-step explanation:

Answer:

[tex]P(X \leq 3) = 0.1738[/tex]

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question, we have that:

[tex]n = 8, p = 0.6[/tex]

P(3 or fewer)

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.6)^{0}.(0.4)^{8} = 0.0007[/tex]

[tex]P(X = 1) = C_{8,1}.(0.6)^{1}.(0.4)^{7} = 0.0079[/tex]

[tex]P(X = 2) = C_{8,2}.(0.6)^{2}.(0.4)^{6} = 0.0413[/tex]

[tex]P(X = 3) = C_{8,0}.(0.6)^{3}.(0.4)^{5} = 0.1239[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0007 + 0.0079 + 0.0413 + 0.1239 = 0.1738[/tex]

Answer:

Option C.

Step-by-step explanation:

Solid in the given picture is a rectangular prism and a rectangular prism has 6 faces. Each face is formed by joining 4 vertices of the prism.

All the faces joining four vertices are: AFGB, BGHC, ADEF, DCHE, FEHG, ADCB.

From the given options,

Option (C). ADEF will be one of the face of the solid.

Answer:

Domain :  0 ≤ t ≤ 3

Range :   -4 ≤ d ≤ 0

Step-by-step explanation:

The graph attached models the depth of submarine as a function of time.

Points on x-axis represent the time and points on y-axis represent increase in height of the submarine.

Domain of a function is represented by the points on x-axis.

Therefore, Domain :  0 ≤ t ≤ 3

Range of function is represented by te points on y-axis.

Therefore, Range :   -4 ≤ d ≤ 0

Answer:

For 2 loaves of bread, 4 cups of flour, 24 tablespoons of water, and 2 teaspoons of salt are required

For 4 loaves of bread,  8 cups of flour, 48 tablespoons of water, and 4 teaspoons of salt are required

Step-by-step explanation:

Given: A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt

To find: the missing terms in the box

Solution:

As for 1 loaf of bread, 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt are required

So, for 2 loaves of bread, double the quantity.

So, for 2 loaves of bread, 2×2=4 cups of flour, 12×2=24 tablespoons of water, and 1×2=2 teaspoons of salt are required

For 4 loaves of bread, double the quantity used to make 2 loaves of bread.

For 4 loaves of bread,  4×2=8 cups of flour, 24×2=48 tablespoons of water, and 2×2=4 teaspoons of salt are required

See the image attached.

Answer:

a) 120

b) 10

c) 1/12

Step-by-step explanation:

The number of ways that a sample of r can be selected from a population of n is:

nCr = n! / (r! (n−r)!)

a) 3 people selected from a group of 10

₁₀C₃ = 120

b) 3 women selected from a group of 5

₅C₃ = 10

c) Of the 120 committees that can be chose, 10 are all women.  So the probability is 10/120 = 1/12.

Answer:

Step-by-step explanation:

h(x) = 2x + 3

f(2x+3)

2x+3 - 7

2x - 4

Answer:

[tex] s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And replacing we got:

[tex] s= 0.286[/tex]

And then the estimator for the standard error is given by:

[tex] SE= \frac{0.286}{\sqrt{4}}= 0.143[/tex]

Step-by-step explanation:

For this case we have the following dataset given:

20.05, 20.56, 20.72, and 20.43

We can assume that the distribution for the sample mean is given by:

[tex] \bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]

And the standard error for this case would be:

[tex] SE= \frac{\sigma}{\sqrt{n}}[/tex]

And we can estimate the deviation with the sample deviation:

[tex] s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And replacing we got:

[tex] s= 0.286[/tex]

And then the estimator for the standard error is given by:

[tex] SE= \frac{0.286}{\sqrt{4}}= 0.143[/tex]

Answer:

a) Check the bar graph in the picture attached

b) The two categorical variables are:

1) Type of owners

2) Likelihood to give CPR

c) Information on the population( in number or percentage) of the dog/cat owners.

Step-by-step explanation:

a) the bar chart is drawn with % of owners likely to give CPR to their pets on the y-axis and the owner types on the x - axis.

b) The two categorical variables are:

1) Type of owners

2) Likelihood to give CPR

c) To construct a 2 x 2 table, the percentage (or number) of either dog owners or cat owners.

Since we know that the total number of pet owners that were sampled = 1166.

If the number of dog owners is known, it can be subtracted from the total number of pet owners to know the number of cat owners and vice versa. If this information is gotten, then the 2 x 2 table can be constructed.

Answer:

0-9(n-1)

Step-by-step explanation:

We can tell the first term of the sequence is 0 and the common difference is -9. So the explicit formula would be h(n)=0-9(n-1)

The explicit formula for h(n) comes to be h(n)=9-9n.

An arithmetic progression is a list of numbers where the difference between consecutive terms is always constant.

[tex]h(n)=h(n-1)-9[/tex]

[tex]h(n)-h(n-1)=-9[/tex]

So the common difference of the arithmetic progression will be -9.

[tex]h(1)=0[/tex] means the first term of the AP is 0.

We know that [tex]n^{th}[/tex] term of an AP is given by:

[tex]h(n)=a+(n-1)d[/tex]

Where a is the first term and d is a common difference.

Fo the given series [tex]a=0[/tex] and [tex]d=-9[/tex]

So, [tex]h(n)=0+(n-1)(-9)[/tex]

[tex]h(n)=9-9n[/tex]

So, the explicit formula for h(n) is [tex]h(n)=9-9n[/tex]

Hence, the explicit formula for h(n) comes to be [tex]h(n)=9-9n[/tex].

To get more about arithmetic progressions visit:

https://brainly.com/question/6561461

Answer:

Step-by-step explanation:

(a)

   [tex]= kr^2(r_0 - r )[/tex]

 [tex]= ( kr_0)r^2 - kr^3 \\\\=>v '(r) = ( 2kr_0 )r -3kr^2\\\\= ( -3k)r^2 + ( 2kr_0 )r[/tex]

v has an absolute maximum when v '(r) = 0

v '(r) = 0 =>

( -3k )r2 + ( 2kr0 )r = 0 =>

r = [ -( 2kr0 ) ± sqrt[ ( 2kr0)2 - ( 4 )( -3k )( 0 ) ] ] / [ ( 2 )( -3k ) ]

= [ -2kr0 ± 2kr0 ] / ( -6k)

= 0 or ( -4kr0 / -6k )

= 0 or (2/3)r0

since [tex]r > (1/2)r_0[/tex] in the given interval,[tex]r =(2/3)r_0[/tex], which matches its experimental value.

Answer:

  y = 3

Step-by-step explanation:

It can work well to start by eliminating parentheses.

  6(y -1/3) = 4(3y -5)

  6y -2 = 12y -20

  18 = 6y . . . . . . . . . add 20-6y to both sides

  3 = y . . . . . . . . . . . divide by 6

Answer:

y=3

Step-by-step explanation:

6(y−13)=4(3y−5)

(6)(y)+(6)(−13)=(4)(3y)+(4)(−5)(Distribute)

6y+−2=12y+−20

6y−2=12y−20

Step 2: Subtract 12y from both sides.

6y−2−12y=12y−20−12y

−6y−2=−20

Step 3: Add 2 to both sides.

−6y−2+2=−20+2

−6y=−18

Step 4: Divide both sides by -6.

−6y−6=−18−6

y=3

Answer:

There are two possibilities:

[tex]x_{1} = 3.5[/tex] and [tex]y_{1} = 6.4[/tex]

[tex]x_{2} = 6.4[/tex] and [tex]y_{2} = 3.5[/tex]

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

[tex]x + y = 9.9[/tex]

[tex]x^{2} + y^{2} = 53.21[/tex]

First, [tex]x[/tex] is cleared in the first equation:

[tex]x = 9.9 - y[/tex]

Now, the variable is substituted in the second one:

[tex](9.9-y)^{2} + y^{2} = 53.21[/tex]

And some algebra is done in order to simplify the expression:

[tex]98.01-19.8\cdot y +2\cdot y^{2} = 53.21[/tex]

[tex]2\cdot y^{2} -19.8\cdot y +44.8 = 0[/tex]

Roots are found by means of the General Equation for Second-Order Polynomials:

[tex]y_{1} \approx \frac{32}{5}[/tex] and [tex]y_{2} \approx \frac{7}{2}[/tex]

There are two different values for [tex]x[/tex]:

[tex]y = y_{1}[/tex]

[tex]x_{1} = 9.9-6.4[/tex]

[tex]x_{1} = 3.5[/tex]

[tex]y = y_{2}[/tex]

[tex]x_{2} = 9.9 - 3.5[/tex]

[tex]x_{2} = 6.4[/tex]

There are two possibilities:

[tex]x_{1} = 3.5[/tex] and [tex]y_{1} = 6.4[/tex]

[tex]x_{2} = 6.4[/tex] and [tex]y_{2} = 3.5[/tex]

Answer:

The total length of the tunnel when the crew has finished digging is 1078 meters

Step-by-step explanation:

total length of the tunnel dug by the crew =  573 meters

let the halfway point of the tunnel = h

if the crew digs 34 meters past the halfway point, then we will this equation below;

h + 34 meters = 573 meters

h = 573 - 34

h = 539 meters

halfway point of the tunnel is 539 meters

Then, the total length of the tunnel when the crew has finished digging = 2h

= 2 x 539 meters

= 1078 meters

Therefore, the total length of the tunnel when the crew has finished digging is 1078 meters

Answer:

3. Vertical is the same as horizontal for linear equations because when moving the function up, it moves the whole line left along the x-axis too. When moving it down, it moves the equation right on the x-axis.

4. Alex is correct

5. g(x)=(2x-8)^2+5

6. This accomplishes these transformations because I made a graph about it

Step-by-step explanation:

Answer:

A: f(x) = (3/4 x)^2 - 1

Step-by-step explanation:

As you can see in the first image i attached, option A is the function that matches the one in your image. the "- 1" in the function is the y-intercept, and the 3/4 is what stretches your parabola which made it larger. You could also use process of elimination to get rid of option B and D since the y-intercepts do not match. Then you are left with A and C. the 4 in "(4x)^2" would make the parabola shrink, as you can see in the second image.

Answer:

The probability that a customer purchases a black SUV is 0.05.

Step-by-step explanation:

The question is incomplete:

At a certain car dealership, the probability that a customer purchases an SUV is 0.20. Given that a customer purchases an SUV, the probability that it is black is 0.25.

The probability that a customer purchases a black SUV can be calculated as the multiplication of this 2 factors:

We know then:

[tex]P(SUV)=0.25\\\\P(B | SUV)=0.20[/tex]

We can now calculate the probability as:

[tex]P(B\,\&\,SUV)=P(B|SUV)\cdot P(SUV)=0.25\cdot0.20=0.05[/tex]

Answer:

10.5 minutes

Step-by-step explanation:

Thinking about the problem

The modeling function is of the form P(t)=A⋅Bf(t), where B=4B=4B, equals, 4 and f(t)=\dfrac{t}{10.5}f(t)=

10.5

t

​

f, left parenthesis, t, right parenthesis, equals, start fraction, t, divided by, 10, point, 5, end fraction.

Note that each time f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111, the quantity is multiplied by B=4B=4B, equals, 4.

Therefore, we need to find the ttt-interval over which f(t)f(t)f, left parenthesis, t, right parenthesis increases by 111.

Hint #22 / 3

Finding the appropriate unit interval

fff is a linear function whose slope is \dfrac{1}{10.5}

10.5

1

​

start fraction, 1, divided by, 10, point, 5, end fraction.

This means that whenever ttt increases by \Delta tΔtdelta, t, f(t)f(t)f, left parenthesis, t, right parenthesis increases by \dfrac{\Delta t}{10.5}

10.5

Δt

​

start fraction, delta, t, divided by, 10, point, 5, end fraction.

Therefore, for f(t)f(t)f, left parenthesis, t, right parenthesis to increase by 111, we need \Delta t=10.5Δt=10.5delta, t, equals, 10, point, 5. In other words, the ttt-interval we are looking for is 10.510.510, point, 5 minutes.

Hint #33 / 3

Summary

The number of people who yawned quadruples every 10.510.510, point, 5 minutes.

Answer:

ⁱ ʰᵒᵖᵉ ᵗʰⁱˢ ʷᵒᵘˡᵈ ʰᵉˡᵖ ʸᵒᵘ ᵗᵒ ᵍᵉᵗ ʳᵉᵃˡ ᵃⁿˢʷᵉʳ...

Answer:

Pythagoras theorem: hypotenuse² = opposite² + adjacent²

Step-by-step explanation:

To know if a triangle is a right angle, we need to have the length of each sides of the triangle. Then we would apply Pythagoras theorem to determine if it is truly a right angled triangle.

Pythagoras theorem is a theorem in the form of an equation which shows the relationship between the sides of a right angled triangle.

let the sides of the right angled triangle be:

opposite =a, adjacent = b and hypotenuse = c

Using Pythagoras theorem

hypotenuse² = opposite² + adjacent²

c² = a² + b²

If the left hand side of the equation = the right hand side of the equation, it is a right angled triangle.

Answer:

c) Population parameter or Population statistic

Step-by-step explanation:

Population:-

The totality of observation with which we are concerned , whether this number be finite or infinite is called population

Sample :

A sample is subset of a Population

Given data  the USA today internet poll is called Population

Given data 73 percent of readers are satisfied with their lives.

This is called Population parameter.

Answer:

D) -7

Step-by-step explanation:

[tex] \because \: PQ + QR = PR \\ \therefore \: 2x + 17 + 12 = 22 + x \\ \therefore \: 2x + 29 = 22 + x \\ \therefore \: 2x - x = 22 - 29 \\ \therefore \: x = - 7 \\ [/tex]

Answer:

10.99 inches

Step-by-step explanation:

7*2=14

diameter=14

circumference=diameter*pi

14*3.14=43.96

quarter circle

43.96/4=10.99

10.99 inches

Answer:

the quarter circle's perimeter = 24.99 inch

Step-by-step explanation:

1. Calculate circumference of a complete circle.

2. Divide by 4 and you have the quarter part. (This is the same as multiplying by 0.25).

3. Just like a pie chart, there are 2 sides from the center to the left and right side edge of the quarter circle. Both are equal to the radius r.

4. Add the numbers found in step 2 and step 3 and you will have found the quarter circle's perimeter.

Given: use 3.14 for pi and r = 7 inch

1. Circumference = 2* pi * r

2. 1/4 * ( 2 * pi * r )

1/4 * ( 2 * 3.14 * 7 ) = 10.99 inch

3 Since r = 7 and we have to sides.

So you just add 2 * 7 = 14 inch

4. Add 10.99 + 14 = 24.99 inch

Answer:

27.58% probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.2 inches

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(which is the square root of the variance) [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 = 211, \sigma = \sqrt{2.89} = 1.7, n = 86, s = \frac{1.7}{\sqrt{86}} = 0.1833[/tex]

What is the probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.2 inches.

Either greater than 211 + 0.2 = 211.2 or smaller than 211 - 0.2 = 210.8. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability of being less than 210.8:

This is the pvalue of Z when X = 210.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{210.8 - 211}{0.1833}[/tex]

[tex]Z = -1.09[/tex]

[tex]Z = -1.09[/tex] has a pvalue of 0.1379

Probability of differing from the population mean by greater than 0.2 inches :

2*0.1379 = 0.2758

27.58% probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.2 inches

Answer:

Probability is 86.24%

Step-by-step explanation:

We can solve this by using the Z-score formula.

Z = (X - μ)/σ

Where;

μ is mean = 211 inches

σ is standard deviation

Now, we are given variance as 2.89

Formula for standard deviation using variance is;

SD = √variance

SD = √2.89

SD = 1.7

To find the probability that the mean diameter of the sample shafts would differ from the population mean by greater than 0.2 inches, we will find the p-value of z and subtract 1 from it.

Since we are told that the sample shafts would differ by 0.2 inches, thus;

X = 211 + 0.2 = 211.2

Since we are working with sample mean of 86, then we have;

Z = (X - μ)/s

s = σ/√86

s = 1.7/√86

s = 0.1833

So,

Z = (211.2 - 211)/0.1833

Z = 1.0911

From z-score calculator, the p-value is gotten to be 0.1376

Thus, probability that mean diameter of the sample shafts would differ from the population mean by greater than 0.2 inches is;

Probability = 1 - 0.1376 = 0.8624 = 86.24%