Solve inequality.
y-13<2

Answer:

28

Step-by-step explanation:

The total of the two cars is 0.46 + 0.34 = 0.8

The total of all probabilities needs to equal 1

The probability of not buying either car is 1 - the sum of the two probabilities

1-0.8 = 0.20

The probability of not buying either car is 0.20

Answer:

$11.6

Step-by-step explanation:

1.45 × 8 = $11.6

That's the Answer

Answer:

0.185 cents

Step-by-step explanation:

1.45÷8 =0.185

divide

Answer:

2

Step-by-step explanation:

2-2=4 which is equal to 4

Answer:

Sry i messed that up

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

For more such information on volume of triangular prism, visit:
https://brainly.com/question/31637705

#SPJ8

Given:

Fixed cost = $150

Additional cost = $22.50

To find:

The equation that showing the cost of the gala depends on the number of attendees.

Solution:

Let x be the number of attendees and y be the cost of the gala.

Total cost = Fixed cost +Variable cost

We have,

Fixed cost = $150

Variable cost = Additional cost × Number of attendees

                      = \(22.50\times x\)

                      = \(22.50x\)

Total cost of gala is:

\(y=150+22.50x\)

Therefore, the required equation is \(y=150+22.50x\).

Answer:

Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

Step-by-step explanation:

Given that:

Total number of shrimp contained in the bag of Emily = 75

Number of skewers available = A dozen

A dozen means 12.

Therefore, there are 12 number of skewers available.

Each skewer can have = 5 number of shrimp

Total number of shrimp on the 12 skewers = 12 \(\times\) 5 = 60

Total number of leftover = Total number of shrimp in the bag - Total number of shrimp on the 12 skewers = 75 - 60 = 15

Therefore, Emily's claim is correct that with 12 skewers which can hold 5 shrimp each, there will be 15 leftovers.

The value of k is 1/32, and the probability density function is f(x) = (1/32)(8 - x).

To find the value of k such that the function is a probability density function over the given interval, we need to ensure that the integral of the function over the specified range is equal to 1.

The function given is f(x) = k(8 - x) for 0 ≤ x ≤ 8.

Step 1: Integrate the function over the given interval:
∫(k(8 - x)) dx from 0 to 8

Step 2: Apply the power rule for integration:
\(k\int\limits(8 - x) dx = k(8x - (1/2)x^2)\ from \ 0\  to\  8\)

Step 3: Evaluate the integral at the bounds:
\(k(8(8) - (1/2)(8)^2) - k(8(0) - (1/2)(0)^2)\)

Step 4: Simplify the expression:
k(64 - 32) = 32k

Step 5: Set the integral equal to 1 to satisfy the probability density function condition:
32k = 1

Step 6: Solve for k:
k = 1/32

Now we have found the value of k, we can write the probability density function:
f(x) = (1/32)(8 - x)

So, the value of k is 1/32, and the probability density function is f(x) = (1/32)(8 - x).

To know more about probability density function refer here:

https://brainly.com/question/31039386

#SPJ11

Answer:

The slope is y=0.59x so 0.59

The y intercept is 0

Answer:

careful of taking pictures of problems. I got warnings and questions deleted when I had the picture of my question since it was violating the code of brainly since it was a different cite. -_-

Step-by-step explanation:

Answer:

x<13

Step-by-step explanation:

x < 13 is the solution of the inequality; 6x + 11 > 7x - 2

A relationship between two expressions or values that are not equal to each other is called 'inequality'.

Given that, an inequality 6x + 11 > 7x - 2

On solving for x, we get,

6x + 11 > 7x - 2

6x + 11 +2 > 7x

13 > x

x < 13

Hence, x < 13 is the solution of the inequality; 6x + 11 > 7x - 2

For more references on inequality, click;

https://brainly.com/question/28823603

#SPJ5

The genotypes in question are \(\( w^{a}w^{a} \), \( w^{a}w^{+} \), and \( w^{+}w^{+} \)\). Based on the information provided, the expected eye colors would be as follows:

1. \(\( w^{a}w^{a} \)\) : The genotype \(\( w^{a}w^{a} \)\) represents a homozygous condition where both alleles are \(\( w^{a} \)\). Since \(\( w^{a} \)\) allele is hypomorphic and reduces the normal function of the white gene, it is expected that the eye color will be lighter or have reduced pigmentation compared to the wild-type condition.

2. \(\( w^{a}w^{+} \)\): The genotype \(\( w^{a}w^{+} \)\) represents a heterozygous condition where one allele is \(\( w^{a} \)\) and the other is the wild-type allele \(\( w^{+} \)\). In this case, the presence of the \(\( w^{+} \)\) allele, which promotes normal eye color, is expected to partially restore the function of the white gene. As a result, the eye color may be closer to the normal pigmentation compared to the homozygous condition.

3. \(\( w^{+}w^{+} \)\): The genotype \(\( w^{+}w^{+} \)\) represents a homozygous condition where both alleles are the wild-type allele \(\( w^{+} \)\). Since the wild-type allele promotes normal eye color, it is expected that the eye color will be similar to the typical pigmentation observed in individuals without the hypomorphic \(\( w^{a} \)\) allele.

In summary, the presence of the \(\( w^{a} \)\) hypomorphic allele is likely to result in lighter or reduced pigmentation in the eye color. The homozygous genotype \(\( w^{a}w^{a} \)\) would exhibit the most significant effect, while the heterozygous genotype \(\( w^{a}w^{+} \)\) would have a partial restoration of normal eye color due to the presence of the wild-type allele \(\( w^{+} \)\). The homozygous wild-type genotype \(\( w^{+}w^{+} \)\) would exhibit the typical pigmentation observed in individuals without the hypomorphic allele.

To learn more about genotypes refer:

https://brainly.com/question/29551729

#SPJ11

The expected eye colors for the given genotype considering the white gene promoting eye color and the \(w^a\) allele's hypomorphic nature.

The expected eye colors for the given genotypes, assuming the white gene promotes eye color and the \(w^a\) allele is hypomorphic (reduces the normal function of white), would be as follows:

Genotype: W/W

Expected eye color: Normal or typical eye color for the species.

Genotype: \(W/w^a\)

Expected eye color: Slightly lighter or less pigmented compared to individuals with the W/W genotype, due to the presence of the hypomorphic \(w^a\) allele.

Genotype: \(w^a/w^a\)

Expected eye color: Even lighter or less pigmented compared to individuals with the \(W/w^a\) genotype, as both alleles are the hypomorphic \(w^a\) allele, further reducing the normal function of white.

To know more about genotype,

https://brainly.com/question/13869625

#SPJ11

The shaded sections of the trapezoid are triangles.

We know how to find the area of triangles

A = 1/2 bh

Lets start with the left triangle

The bases is 1.1 inches and the height is 3.8 inches

A left triangle is

A = 1/2 ( 1.1) * 3.8 = 2.09

The right triangle has the same dimensions

A right triangle is

A = 1/2 ( 1.1) * 3.8 = 2.09

Add the two triangles together

2.09+2.09 = 4.18 in^2

The area of the shaded region is 4.18 in^2

the unknown number is -12, 41+7=48  

48/-4=-12

the lcm of 16 and 18 is 144 !

Answer:

the answer is x = 4 + √13 or x = 4 − √13

Answer:

x=4+√13

x=4-√13

or

x=7.60555

x=0.394449

Step-by-step explanation:

9 minutes long will it take for the fire engine to reach the fire .

Given :

if a fire engine is traveling at 40 miles per hour to a fire that is 6 miles away .

we know that ,

speed = distance / time

where

distance = 6 miles

speed = 40 miles / hour

substitute

40 = 6 / times

cross multiplication

40 *  time = 6

time = 6 / 40 hours

converting hours to minutes

= 6 / 40 * 60 minutes

= 6 * 6 / 4

= 36 / 4

= 9 minutes

Learn more about the time here:

https://brainly.com/question/28050940

#SPJ4

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

Answer:

532

Step-by-step explanation:

The score that represents the top 20% = A score = 80%

Z score for 80% percentile = 0.842

We solve using the z score formula

z = (x-μ)/σ, where

x is the raw score = ??

μ is the population mean = 490

and σ is the population standard deviation = 50

Hence:

0.842 = x - 490/50

Cross Multiply

0.842 × 50 = x - 490

x = 0.842 × 50 + 490

x = 42.1 + 490

x = 532.1

Approximately = 532

Therefore, the test score = 532

Answer:

532

Step-by-step explanation:

edg 2020-2021

Answer:

d. $6

Step-by-step explanation:

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

3 hours (or 180 minutes)

3/4 of an hour = 45 minutes

45 minutes × 3 = 135 minutes or 2 hours and 25 minutes

2 hours and 25 minutes + 45 minutes = 3 hours (180 minutes)

La esculturas triangulares tendrán las siguientes medidas 16.66 cm, 40 cm y 23.32 cm.

Es la suma total de los lados del triángulo, en este caso el perímetro total es de 80.

Se pueden calcular usando el total y la información sobre cada lado:

Finalmente calcule cada lado:

Aprenda más sobre perímetro en: https://brainly.com/question/24514946

Answer: -2x

Step-by-step explanation: Very easy maths. Just add 4x + -6x, which is -2x. There's your answer.

To find the dimensions of the expanded rectangular garden, we'll start by considering the original square garden. Let's assume the side length of the square garden is x feet.

After expanding one side by 12 feet, the new length becomes x + 12 feet. Similarly, after expanding the other side by 15 feet, the new width becomes x + 15 feet.

The area of a rectangle is calculated by multiplying its length and width. According to the given information, the expanded rectangular garden will have an area of no more than 2,000 square feet.

Therefore, we can form the inequality: (x + 12)(x + 15) ≤ 2,000.

Simplifying the inequality - brainly.com/question/30228778

x^2 + 27x + 180 ≤ 2,000,

x^2 + 27x - 1,820 ≤ 0.

To find the values of x that satisfy the inequality, we can either solve the quadratic equation or use a graphing calculator. The solutions for x will give the maximum possible side length for the original square garden.

To learn more about Inequality - brainly.com/question/30228778

#SPJ11

The null and the alternate hypothesis are:

H0: p = 0.35; Ha: p ≠ 0.35

Given that:

\(p = 35\%\)

\(p = 0.35\)

The percentage that lie are not 35% means that they are not equal to 35%

Not equal to is represented as: \(\ne\)

So, the alternate hypothesis is:

Ha: p ≠ 0.35

The null hypothesis will be the direct opposite, i.e. equal to 35%

So, the null hypothesis is:

H0: p = 0.35;

Hence, the null and the alternate hypotheses are:

H0: p = 0.35;

Ha: p ≠ 0.35

Read more about null and hypotheses at:

https://brainly.com/question/13802969

Answer:

x = 6

Step-by-step explanation:

we can multiply the entire equation by 3 to simplify the numbers

-2x + 27 = 4x - 9

27 = 6x - 9

36 = 6x

x = 6