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LenKa [72]
3 years ago
15

Write an algebraic expression for “5 times the sum of a number and 3”

Mathematics
1 answer:
Firdavs [7]3 years ago
3 0

Answer:

5(x+3)

Step-by-step explanation:

:)

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The Venn Diagram below models probabilities of three events, A,B, and C.
Keith_Richards [23]

Answer: dependent

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
1. COST Mr. Rivera wants to purchase a riding lawn
antiseptic1488 [7]

Answer:

p(x) = 0.85x

t(x) = 1.065x

(t o p)(x) = 0.9x

$2700

Step-by-step explanation:

If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

p(x) = x(1 - \frac{15}{100}) = 0.85x

where x is the marked price.

Now, the function that gives the total cost with sales tax will be given by

t(x) = x(1 + \frac{6.5}{100}) = 1.065x

where x is the discounted price.

Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by

(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)

where x is the marked price.

If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),

(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)

8 0
3 years ago
A random sample of 49 statistics examinations was taken. the average score, in the sample, was 84 with a variance of 12.25. the
tester [92]

Since in this case we are only using the variance of the sample and not the variance of the real population, therefore we use the t statistic. The formula for the confidence interval is:

<span>CI = X ± t * s / sqrt(n)                      ---> 1</span>

Where,

X = the sample mean = 84

t = the t score which is obtained in the standard distribution tables at 95% confidence level

s = sample variance = 12.25

n = number of samples = 49

From the table at 95% confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t is around:

t = 1.68

 

Therefore substituting the given values to equation 1:

CI = 84 ± 1.68 * 12.25 / sqrt(49)

CI = 84 ± 2.94

CI = 81.06, 86.94

 

<span>Therefore at 95% confidence level, the scores is from 81 to 87.</span>

6 0
3 years ago
Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.
OlgaM077 [116]

Answer:

\sf \dfrac{1}{8}

Step-by-step explanation:

Spinner choices:  Red, Green, Yellow, Blue

Coin choices: Heads, Tails

\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf P(blue)=\dfrac{1}{4}

\implies \sf P(heads)=\dfrac{1}{2}

\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}

5 0
1 year ago
Alissa has 6 pink gumballs and 8 blue gumballs. What is the ratio of blue gumballs to pink gumballs?​
Elena L [17]

Answer:

8:6

Step-by-step explanation:

if you have 8 blue gumballs and 6 pink gumballs the ratio is 8:6

8 0
3 years ago
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