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3 years ago

Translate the sentence into an equation. The sum of 8 times a number and 9 equals 4.

Mathematics

2 answers:

nata0808 [166]3 years ago

5 0

Answer:

$let \: n \: be \: the \: number \\ then \: 8n + 9 = 4$

Lesechka [4]3 years ago

3 0

The answer is 8x+9=4

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Figure TUVW ≅ figure ABCD, AB = 12, CD = 6, and DA = 4.

Olegator [25]

The measure of VW is 6. It's because since the figures are congruent their names are written in correspondence ....so since VW corresponds to CD , the answer must be 6.

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3 years ago

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If ∠1 and ∠2 are complementary and m∠1 = 17º, what is m∠2

Romashka [77]

Answer:

m<2 = 73

Step-by-step explanation:

Since <1 and <2 are complementary (which means that they equal 90), all you have to do is subtract 17 from 90 to find your answer:

90 - 17 = 73

thus, m<2 = 73

8 0

3 years ago

Evaluate the function f(x)=4•7^x for x=-1 and x2 show your work

boyakko [2]

When you evaluate the function f (x) = 4 • 7 ^ x for x = -1 you get:
f (-1) = 4 * 7 ^ -1
f(-1) = 4* 1/7
f (-1) = 0.5714
The next part of the question is not clear. If it refers to the function at x = 2 then:
f (2) = 4 * 7 ^ (2)
f(2) =4*49
f (2) = 196
If it refers to it in x ^ 2
f (x ^ 2) = 4 * 7 ^ (x ^ 2)

3 0

3 years ago

Please help and show steps so i could figure out how to do it , will give branliest!

erastova [34]

Answer:

Step-by-step explanation:

1. 3b - 2 (1 - b) / a - 2

2. 3(2) - 2 (1 - 2) / 3 - 2

3. 6 - 2 (-1) / 1

4. 6 + 2 / 1

5. 8 / 1

6. 8

3 0

3 years ago

Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask

Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

$P(x=r)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

$P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}$

$=56(0.4)^5 (0.6)^3$

$=0.12386304$

(b) the probability of the number that say they would feel secure is more than five

$P(X>5) = P(X=6)+ P(X=7) + P(X=8)$

$=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}$

$=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8$

$=0.04980736$

(c) the probability of the number that say they would feel secure is at most five

$P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)$

$=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}$

$=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3$

$=0.95019264$

8 0

3 years ago