A zoo-keeper has 9 gorillas and 12 monkeys. He wants to keep the ratio of gorillas to monkeys the same. If the zoo-keeper buys 3 more gorillas, how many more monkeys will he need to buy?

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

x = 1, 5

Step-by-step explanation:

9514 1404 393

Answer:

  x ∈ {2, 3, 4}

Step-by-step explanation:

Your set builder notation describes the set of integers between 1 and 5, not including 1 or 5. Those integers are 2, 3, 4. In roster form, the set is ...

  {2, 3, 4}

Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.

The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.

Using the cosine ratio, we have:

Reference angle (∅) = 72 degrees

Hypotenuse length = 40 m

Adjacent length = distance between Dimitri and Sarah = x

Plug in the values:

cos 72 = x/40

x = cos 72 * 40

x ≈ 12.4 [to one decimal place]

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Answer:

Amount of Winter sealer for 2 coats[in square feet] = 576 square feet

Step-by-step explanation:

Given:

Length of drive way at garage door = 12 feet

Length of drive way at street = 20 feet

Length of total driveway = 18 feet

Find:

Amount of Winter sealer for 2 coats[in square feet]

Computation:

Amount of Winter sealer for 2 coats[in square feet] = 2[Area of trapezoid]

Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(Sum of parallel side)(Height)]

Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(12 + 20)(18)]

Amount of Winter sealer for 2 coats[in square feet] = 2[(1/2)(32)(18)]

Amount of Winter sealer for 2 coats[in square feet] = 32 x 18

Amount of Winter sealer for 2 coats[in square feet] = 576 square feet

Answer:

9/10

Step-by-step explanation:

you can only add fractions when the denominator is the same, so u either have to multiply or divide a fraction. In this case, we'll multiply 4/5 with 10/10 so that the denominator will be the same as 5/50, and so that the value, 4/5(10/10), would still equal 4/5

4/5(10/10) + 5/50

40/50 + 5/50

45/50

simplify it

9/10

Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

\(\text{Solve for z:}\\\\-p(51+z)=dz+84\\\\\text{Use the distributive property}\\\\-51p-pz=dz+84\\\\\text{Add 51p to both sides}\\\\-pz=51p+dz+84\\\\\text{Subtract dz from both sides}\\\\-pz-dz=51p+84\\\\\text{Factor out z}\\\\z(-d-p)=51p+84\\\\\text{Divide both sides by (-d - p)}\\\\z=\frac{51p+84}{(-d-p)}\\\\\text{The denominator shouldn't be zero, so we have to make it positive}\\\\\boxed{z=\frac{-51p-84}{d+p}\,\,or\,\,z=-\frac{51p+84}{d+p}}\)

Answer:

\( \boxed{\sf z = \frac{ - 51p - 84}{ p + d} \ \ \ OR \ \ \ z = - \frac{51p + 84}{ p + d} } \)

Step-by-step explanation:

\( \sf solve \: for \: z : \\ \sf \implies −p(51+z)=dz+84 \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies - 51p - pz = dz + 84 \\ \\ \sf Subtract \: d z - 51 p \: from \: both \: sides: \\ \sf \implies - 51p - pz - (dz - 51p)= dz + 84 - (dz - 51p) \\ \\ \sf - (dz - 51p) = - dz + 51p : \\ \sf \implies - 51p - pz - dz + 51p= dz + 84 - dz + 51p \\ \\ \sf - 51p + 51p = 0 : \\ \sf \implies - pz - dz = dz + 84 - dz + 51p \\ \\ \sf dz - dz = 0 : \\ \sf \implies - pz - dz = 84 + 51p \\ \\ \sf \implies z( - p - d) = 84 + 51p \\ \\ \sf Divide \: both \: sides \: by \: - p - d: \\ \sf \implies z = \frac{51p + 84}{ - p - d} \\ \\ \sf \implies z = \frac{51p + 84}{ -( p + d)} \\ \\ \sf \implies z = \frac{ - (51p + 84)}{ p + d} \\ \\ \sf \implies z = \frac{ - 51p - 84}{ p + d} \)

Answer:

x = 16

Step-by-step explanation:

\(-5+\frac{x}{-16} =-6\)

\(-5+\frac{16}{-16} =-6\)

\(-5-1=-6\)

\(-6=-6\)

Answer:

101

Step-by-step explanation:

-5 + ×/-16=-6

-5+x=96

x= 101

h = hours till they're 58 miles apart

Check the picture below.

so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.

Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)

Answer:

I believe it is the last choice

Step-by-step explanation:

square have equal sides      area= length x width

9x9=81

6x6=36

9 to power 2 is 81

6 to power 2 is 36

So the equation is 81-36

Answer: its the last choice i literally just took that test

Step-by-step explanation:

Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

Answer:

lower bound = 90 - 10 = 80 cm

upper bound = 90 + 10 = 100 cm

lower bound d = 1500 x 80 cm = 120,000 cm

upper bound d = 1500 x 100 cm = 150,000 cm

Distance of upper bond and lower bond is 120,000 and 150,000 centimeter

Given:

Number of steps walk = 1500 steps

Each step count = 90 centimetres

Correction in each step = 10 cm nearset

Find:

Lower bound and upper bound for d

Computation:

Lower bound step length = 90 - 10

Lower bound step length = 80 centimetres

Upper bound step length = 90 + 10

Upper bound step length = 100 centimetres

Lower bound d = 1500 × 80

Lower bound d = 120,000 centimetres

Upper bound d = 1500 × 100

Upper bound d = 150,000 centimetres

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Answer:

77.2%

Step-by-step explanation:

The average formula is:

\(Average = \frac{Sum/of/all/numbers}{How/many/numbers/there/are}\)

Let's first find the sum of all the numbers (remember sum means to add):

(2)(85) + (4)(78) + (3)(66) + 92 = ?

170 + 312 + 198 + 92 = 772

There are marks for 10 students so that is what goes at the bottom (10 students, 10 test scores)

Plug both things into the equation:

\(Average = \frac{772}{10} \\= 77.2\)

Therefore, the average mark on the test was 77.2%

Hope this helps!!

- Kay :)

Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

As we know,

Therefore,

Therefore, taking the ratio,

Thus, the correct ratio is 5:4

The area of a triangle is given by:

where:

b = base

h = height

hence:

ANSWER

389.5 in²

Answer:

A = Length × breath

A = 3 × 7

A = a × 4

A = m × m

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Answer:

social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%

Sample size 'n' = 625

Step-by-step explanation:

Step(i):-

Given data Apple launches an ad campaign for iPhone 12

Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign

probability of positive reactions p = 1/2

Probability of negative reactions q = 1-p = 1/2

we know that \(\sqrt{p(1-p}\leq \frac{1}{2}\)

Step(ii):-

Given margin of error  = 2 % =0.02

The margin of error is determined by

          \(M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }\)

         \(0.02 = \frac{\frac{1}{2} }{\sqrt{n} }\)

        \(\sqrt{n} =\frac{1}{2 X0.02}\)

        √n = 25

squaring on both sides, we get

       n = 625

Answer:

thanks for tha points

Step-by-step explanation:

Answer:

B) Mia Hamm helped her soccer team at the University of North Carolina at Chapel Hill win four NCAA titels.

Step-by-step explanation:

The first option is an opinion, not a fact.

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

slope = - 32 , y- intercept = 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 32x + 5 ← is in slope- intercept form

with slope m = - 32 and y- intercept c = 5

\(\frak{Hi!}\)

\(\orange\hspace{300pt}\above2\)

                          We have the equation \(\boldsymbol{\sf y=-32x+5}\).

                          We need to know its slope and y-intercept.

                         If an equation has the y=mx+c form,  the slope is always

                         multiplied by x, the x co-ordinate. Such is the case here,

                          thereupon we note that the slope is \(\boldsymbol{\sf{-32}}\).

                         As for the y-intercept, that's a constant. Do you remember

                         that constants have no variables attached to them?

                         Since the only number that has no variables attached to it is

                         5, we note that this is the desired value, the y-intercept.

done!!

\(\orange\hspace{300pt}\above3\)

                        \(\large\boldsymbol{\sf{calligraphy}}\)

For part a, you can use a chi-squared test to determine whether the variance in the sample exceeds the maximum acceptable variance in the population.

The null hypothesis for this test is that the variance in the sample is equal to or less than the maximum acceptable variance, and the alternative hypothesis is that the variance in the sample is greater than the maximum acceptable variance.

To perform the test, you need to first calculate the chi-squared statistic, which is given by:

X² = (n-1) * s² / σ²

where n is the sample size (in this case, 15), s is the sample standard deviation (in this case, 0.014 inches), and σ is the maximum acceptable variance (in this case, 0.0001 inches).

Plugging in the values, you get:

X² = (15-1) * .014² / .0001² = 27.44

Next, you need to determine the degrees of freedom for the test. In this case, the degrees of freedom is equal to the sample size minus 1, so the degrees of freedom is 14.

With the chi-squared statistic and the degrees of freedom, you can look up the p-value in a chi-squared table or use a chi-squared calculator to determine the p-value. The p-value is the probability of observing a chi-squared statistic as large or larger than the one you calculated, assuming the null hypothesis is true.

If the p-value is less than the significance level (in this case, .10), then you can reject the null hypothesis and conclude that the variance in the sample exceeds the maximum acceptable variance. In this case, the p-value is between 0.01 and 0.025, so you can reject the null hypothesis and conclude that the variance in the sample exceeds the maximum acceptable variance.

For part b, you can use a t-test to construct a 90% confidence interval estimate of the variance in the population. The confidence interval is an interval estimate of the true variance in the population, and the 90% confidence level means that there is a 90% probability that the true variance in the population falls within the confidence interval.

To construct the confidence interval, you first need to calculate the standard error of the variance, which is given by:

SE = s / √(n-1)

where s is the sample standard deviation and n is the sample size. Plugging in the values, you get:

SE = 0.014 / √(15-1) = 0.0041

Next, you need to determine the t-value for the confidence interval. The t-value is based on the degrees of freedom and the confidence level. With 14 degrees of freedom and a 90% confidence level, the t-value is 1.76.

With the standard error and the t-value, you can construct the confidence interval as follows:

Lower bound = s² - t * SE = .014² - 1.76 * 0.0041 = 0.00012 inches

Upper bound = s² + t * SE = .014² + 1.76 * 0.0041 = 0.00042 inches

Therefore, the 90% confidence interval estimate of the variance of the ball bearings in the population is .00012 to .00042 inches.

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I think its c

Step-by-step explanation:

The value of the piecewise function h(x) at x = 2 is (b) -1

From the question, we have the following parameters that can be used in our computation:

Part 1:

h(x) = x cubed for x less than negative 3

Part 2:

h(x) = 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4,

Part 3

h(x) = 5 times x plus 4, for x greater than or equal to 4

When the above statements are represented properly, we have the following equations

Part 1: h(x) = x³ for x < -3

Part 2: h(x) = 2x² - 9 for -3 ≤ x < 4

Part 3: h(x) = 5x + 4, for x ≥ 4

To calculate the function h(2), we use the domain -3 ≤ x < 4

So, we have the following function

h(x) = 2x² - 9

Substitute the known values in the above equation, so, we have the following representation

h(2) = 2(2)² - 9

Evaluate the expression

h(2) = -1

Hence, the value is (b) -1

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Complete question

The piecewise function h(x) is shown on the graph.

the function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4, and part 3 which is 5 times x plus 4, for x greater than or equal to 4

What is the value of h(2)?

Answer:

5 months

Step-by-step explanation:

because 1,1,1,1,1 = 5 4,4=8      5/8

Answer:

I got the answer 0.388888... by divided 7 by 18. (1) I added a zero to 7. (2)I times 3 to 18 to make 54 and subtracted my dividend by this. (3)The answer was 160 which I subtracted by 18x8 which equals 144. The answer of the was 160 and I could go on and on repeating step 3.

Step-by-step explanation:

I got the answer 0.388888... by divided 7 by 18. (1) I added a zero to 7. (2)I times 3 to 18 to make 54 and subtracted my dividend by this. (3)The answer was 160 which I subtracted by 18x8 which equals 144. The answer of the was 160 and I could go on and on repeating step 3.