The Venn diagram shows the number of employers
who ranked skills important for careers in their field.
C represents communication, T represents technical
skills, and M represents the ability to handle money
How many employers ask that employees be skilled in
communication and handling money?
47
50
67
86

Answer:

Option A

Explanation:

the ratio of radii to volume is ^3 "to the third power"

so 5^3 : 9^3 would be the ratio for volumes

125:729

Answer:

4.5 hours

Step-by-step explanation:

If you take both of their alone time

6 and 3

Add them together

Divide both of them By 2

Giving you your answer

It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the time that would take both Jane and Bill to clean the park, hence:

[(1/6) + (1/3)]t = 1

t = 2 hours

It takes Jane six hours to complete the job and it takes Bill three hours; if both of them did the job together, it would take them 2 hours.

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Answer:

3/5

Step-by-step explanation:

Out of the 5 cards, 3 of them are greater than 3 or less than 2 (1, 4, 5) so the answer is 3/5.

Answer:

3/5

Step-by-step explanation:

Total number of cards: 5

Cards greater than 3: 4, 5

Cards less than 2: 1

Total of (greater than 3 or less than 1): 3 cards

p(greater than 3 or less than 1) = 3/5

Answer:

15

Step-by-step explanation:

If it was 20 × 4 = 80, 80 + 3 = 83 and 80 + 5 = 85 but neither of those numbers are divisible by either 6 or 7 so we know it's not 20 × 4. If we did 20 × 5 = 100, 100 + 3 = 103 and 100 + 5 = 105. Since 105 / 7 = 15 the answer is 15.

Answer:

15

Step-by-step explanation:

We try every possibility.

20 is multiplied either by 4 or by 5

20 * 4 = 80

20 * 5 = 100

then the product is increased either by 3 or by 5

80 + 3 = 83

80 + 5 = 85

100 + 3 = 103

100 + 5 = 105

the sum is divided either by 6 or by 7

None of the numbers are divisible by 6 since they are all odd.

Only 105 is divisible by 7.

105/7 = 15

Answer: 15

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 3

For the alternative hypothesis,

H1: µ > 3

This is a right tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

x = sample mean = 3.1

µ = population mean = 3

s = samples standard deviation = 0.5

n = number of samples = 100

t = (3.1 - 3)/(0.5/√100) = 2

We would determine the p value using the t test calculator. It becomes

p = 0.024

Alpha = 1 - confidence level = 1 - 0.95 = 0.05

Since alpha, 0.05 > than the p value, 0.024, then we would reject the null hypothesis. Therefore, at 95% confidence level, it can be concluded that the mean of the population is significantly greater than 3.

Answer:

  34°

Step-by-step explanation:

Because AB and CB are tangents, the measure of angle B is the supplement of the measure of arc AC:

  180° -146° = 34°

Answer:

-32

Step-by-step explanation:

28=-7/8w

w=-32

Answer:

I don't think so

Step-by-step explanation:

Answer:

2z+6 or 2(z+3) are the equivalent expressions

Step-by-step explanation:

z+(z+6)

opening the brackets

z+z+6

=2z+6

or if we take 2 as common the answer is

=2(z+3)

i hope this will help you :)

Answer:

Given that the expression is z+(z+6)

The equivalent expression to the give expression

From the given expression z+ (z+6)

z+ (z+6)

=z+z+6

Adding the like terms

=2z+6

Taking the common term 2 outside of the above expression

=2(z+3)

Therefore z+ (z+6)  =2(z+3)

Therefore the other given optional expressions are not equivalent to the given expression.

The option 2(z+3) is correct and it is the equivalent expression.

Hence the given expression z+ (z+6)  is equivalent to the expression 2(z+3)

Answer:

36 squared units

Step-by-step explanation:

So you can draw "made up lines" or I guess lines you draw yourself to create 2 rectangles. Check attachment.

The first rectangle is a square and has sides 3 and 3, so you get the area of 9.

The second, has sides 9 and 3, so you get the area of 27

Since you are trying to find the entire thing, you add 27 and 9 to get 36

Answer:

Step-by-step explanation:

a^2+b^2=c^2

assuming that 11 and 10 are the shorter sides of the triangle

11^2+10^2=c^2

121+100=c^2

221=c^2

[tex]\sqrt{221}=\sqrt{c^2}[/tex]

this will equal 14.87 approximately

The missing side of the triangle is √221 yd .

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Let recall the Pythagorean theorem formula:

a² + b² = c²

Replacing by the values we have;

11² + 10² = c²

c² = 121 + 100

c² = 221

c = √221 yd

Therefore, the correct answer is √221 yd .

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Answer: 8 is the anwser

Step-by-step explanation:

Answer:

the correct answer is 15011.428571

Step-by-step explanation:

=525.4 ÷ 0.035

=15011.428571

hope this works out!!!!

The division of decimal values 525.4 ÷ 0.035 = 15011.428571........

To divide decimals we make them integers by multiplying the numerator and denominator by 10ⁿ, where n is the number of decimal places in the numerator or denominator, whichever has more.

Then we follow the steps of normal numeric divisions.

In the question, we are asked to divide the equation 525.4 ÷ 0.035.

We can write this as 525.4/0.035.

Now, 0.035 has more decimal places, with n = 3, where n is the number of decimal places.

Thus, we multiply the numerator and denominator by 10³ = 1000.

Therefore, 525.4/0.035

= (525.4*1000)/(0.035*1000)

= 525400/35

= 15011 3/7

= 15011.428571........

Thus, the division of decimal values 525.4 ÷ 0.035 = 15011.428571........

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Hey there! :)

Answer:

x = 1.117

Step-by-step explanation:

Graph the two equations:

p(x) = 5x² - 3

q(x) = 2x + 1

On the graph below, the positive point of intersection is at (1.117, 3.233).

Positive x-value = 1.117.

Answer:

[tex]z=\frac{180-150}{30}= 1[/tex]

And if we find the probability using the normal standard distribution we got:

[tex]P(z<1)=0.841[/tex]

And the the percentile would be approximately 84.1

Step-by-step explanation:

For this case we define the random variable of interest as "Score for girls" and we know the following parameters:

[tex]\mu =150, \sigma =30[/tex]

And we want to find the percentile for the score 180 and we can use the z score formula given by:

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

And replacing we got:

[tex]z=\frac{180-150}{30}= 1[/tex]

And if we find the probability using the normal standard distribution we got:

[tex]P(z<1)=0.841[/tex]

And the the percentile would be approximately 84.1

Answer: A) 45%

Step-by-step explanation:

The question is incomplete. The complete question is

Carl, Gilda, Conroy, and Kyla are the four candidates in a school election. Carl received 1/5 of the votes, Gilda received 10% of the votes, and Conroy received 1/4 of the votes. If Kyla received all of the remaining votes, what percentage of the votes did she receive? A. 45\% B. 55\% C. 20\% D. 50\%

Solution:

The total percentage of the votes that is spread among the 4 contestants is 100%

Carl received 1/5 of the votes. It means that the percentage of votes that Carl received is

1/5 × 100 = 20%

Gilda received 10% of the votes.

Conroy received 1/4 of the votes. It means that the percentage of the votes that Conroy received is

1/4 × 100 = 25%

Therefore, if Kyla received all of the remaining votes, then the percentage of the votes that she received is

100 - (20 + 10 + 25) = 45%

Answer:

40%

Step-by-step explanation:

Answer: A

Step-by-step explanation:

(f-g)(x) means f(x)-g(x). Since we are given f(x) and g(x), we can directly subtract them.

4x+1-(x²-5)           [distribute -1]

4x+1-x²+5            [combine like terms]

4x-x²+6                [rewrite in the order of exponents]

-x²+4x+6

Answer:

D.

Step-by-step explanation:

To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.

h(x) = sqrt(2x^2 + 5x - 3)

= sqrt(0^2 + 5 * 0 - 3)

= sqrt(-3)

Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.

If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.

Your answer will be D.

Hope this helps!!

Answer:

None of the above

Step-by-step explanation:

Answer:

None of the Above

Step-by-step explanation:

I got it right on Khan Academy :) Have a Great Day!

Answer:

None of the sides can be a triangle.

Step-by-step explanation:

Answer:

[tex]\boxed{x^2 = 16}[/tex]

Step-by-step explanation:

Using Tangent Secant theorem:

(x)² = (2)(2+6)

x² = 2(8)

x² = 16

Answer:

r= 29.82

Step-by-step explanation:

r/7.1=4.2

r= 4.2*7.1

r= 29.82

Answer:

29.82         i did the unit test

Step-by-step explanation:

192.

2(8+4)÷2(8+8) = 1(4+8)×(8+8)

1×12×16=192.

Answer:

Step-by-step explanation:

[tex]2(4 + 8) \div 2(8 + 8)[/tex]

Any expression divided by itself equals 1

[tex]1(4 +8) \times (8 + 8)[/tex]

Add numbers

[tex]1 \times 12 \times 16[/tex]

Any expression multiplied by 1 remains the same

[tex]12 \times 16[/tex]

Multiply the numbers

[tex]192[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

Her sample is of a portion/part of the population of jewelers in her town

Her sample is also biased and id not a representation of the population in that she sampled on the biggest jewelers without considering the smaller one which might possibly have the latest jewelry trends.

Answer: It is Bias and not representative

Step-by-step explanation:

Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

Step-by-step explanation:

Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients

Here, 7+5i is a complex number.

So, it conjugate ([tex]\overline{7+5i}=7-5i[/tex]) is also a zero of a polynomial function.

Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate 7-i5.

If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

The standard form of writing complex numbers with real and imaginary values is expressed as:

z = x + iy

The conjugate of the complex number will be y = x - iy

Given the polynomial 7 + 5i. If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is its conjugate which is 7 - 5i

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Answer:

x = 2

Step-by-step explanation:

(2^x - 2)(5 * 2^x + 10) = 3 * 4^x + 12

5 * 2^(2x) + 10 * 2^x - 2 * 5 * 2^x - 20 = 3 * (2^2)^x + 12

2^x[5 * 2^(x)] - 20 = 3 * 2^(2x) + 12

2^x[5 * 2^(x)] = 3 * 2^(2x) + 32

5 * 2^(2x) - 3 * 2^(2x) = 32

2 * 2^(2x) = 32

2^(2x) = 16

2^(2x) = 2^4

2x = 4

x = 2

Answer:

[tex]b.\ cos 70 =\dfrac{4}x[/tex] is the correct answer.

Step-by-step explanation:

First of all, let us label the diagram as shown in the attached figure.

OR = 20'

QS = 16'

[tex]\triangle OPQ[/tex] is the right angled triangle that we get.

[tex]\angle P=90^\circ[/tex]

[tex]\angle O =70^\circ[/tex]

From the given figure symmetry, we can clearly see that:

Side OP = OR - QS

OP = 20 - 16 = 4'

Now, let us use trigonometric identity of cosine in [tex]\triangle OPQ[/tex].

[tex]cos\theta = \dfrac{Base}{Hypotenuse}[/tex]

[tex]cosO= \dfrac{OP}{OQ}\\\Rightarrow cos70^\circ= \dfrac{4}{OQ}[/tex]

Let the distance of ramp, OQ = x'

So, the above ratio becomes:

[tex]cos70^\circ= \dfrac{4}{x}[/tex]

So, the correct answer is:

[tex]b.\ cos 70 =\dfrac{4}x[/tex]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

An insurance company reported that, on average claims for a certain medical procedure are $942. an independent organization constructed a 95% confidence interval of ($930, $950) for the average amount claimed for the particular medical procedure. what conclusion best evaluates the truthfulness of the number reported by the insurance company?

a) with 95% certainty, the average claim for this medical procedure is $942.

b) with 95% certainty, the average claim for this medical procedure is not $942.

c) the confidence interval is consistent with an average claim of $942 for this medical procedure

Solution:

Confidence interval is used to express how confident we are that the population parameter that we are looking for is contained in a range of given values. Looking at the given confident interval, the lower limit is $930 and the upper limit is $950. We can see that the population mean, $942 lies within these values. The correct option would be

c) the confidence interval is consistent with an average claim of $942 for this medical procedure