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astra-53 [7]
3 years ago
5

I need help on a and b

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Problem A

A rectangle has equal diagonals

So 9x + 20 = 10x + 8 Subtract 8 from both sides.

9x + 20 - 8 = 10x

9x + 12 = 10x Subtract 9x from both sides.

12 = 10x - 9x

12 = x Answer <<<<<

Problem B

The diagonals of a rhombus bisect the angle vertex that the diagonal is connect between. All that language says is that

2x + 15 = 5x + 3 Subtract 2x from both sides.

15 = 5x - 2x + 3

15 = 3x + 3 Subtract 3 from both sides.

15 - 3 = 3x

12 = 3x Divide by 3

12/3 = x

x = 4 <<<< Answer B

When x = 4 the two angles are equal.

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if the compound interest on a sum for 2 years at 4% p.a. is ₹408, then the simple interest on the same sum at the same rate and
Butoxors [25]

Given that:

CI = ₹408

years = 2 years

Rate of interest = 4%

A = P{1+(R/100)}^

A-P = p{1+(R/100)}^n - P

I = P[1+(R/100)}^n - 1]

408 = P[{1+(4/100)²} - 1]

= P[{1+(1/25)²} - 1]

= P[(26/25)² - 1]

= P[(676/625) - 1]

= P[(676-625)/625]

408 = P(51/625)

P = 408*(625/51)

= 8*625 = 5000

Sum = 5000

Simple Interest (I) = (P*R)/100

= 5000*2*(4/100)

= 50*2*4 = 400

From the given above options, option (a) ₹400 is your correct answer.

4 0
2 years ago
Question 6 of 10
Setler [38]

Answer:

D

Step-by-step explanation:

20% of 80= 16

20% of 70= 14

16+16+14+14+14=74

4 0
2 years ago
Mimi uses a 7.5-gal bucket to fill a wading pool. She pours 12 buckets full of water into the pool, which can hold up to 138 gal
Diano4ka-milaya [45]

Answer: 6 full buckets.

Step-by-step explanation:

138(pool)/7.5(a bucket)=18.4

18-12=6 full buckets.

7 0
3 years ago
Which distribution is used to test the claim that women have a higher mean resting heart rate than men?
xeze [42]

This question is incomplete, the complete question is;

Assume that two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Which distribution is used to test the claim that women have a higher mean resting heart rate than men?

A.t

B.F

C.Normal

D. Chi-square

Answer:

A) t  test

Step-by-step explanation:

A t-test uses sample information to assess how plausible it is for the population means μ1​ and μ2​ to be equal.

The formula for a t-statistic for two population means (with two independent samples), with unknown population variances shows us how to calculate t-test with mean and standard deviation and it depends on the assumption of having an equal variance or not.

If the variances are assumed to be not equal,

he formula is:

t =  (bar X₁ - bar X₂) / √( s₁²/n₁ + s₂²/n₂ )

If the variances are assumed to be equal, the formula is:

t =  (bar X₁ - bar X₂) / √ (((n₁ - 1)s₁² + (n₂ - 1)s₂²) / (n₁ + n₂ - 2)) ( 1/n₁ + 1/n₂)

it called t-test for independent samples because the samples are not related to each other, in a way that the outcomes from one sample are unrelated from the other sample.

hence option A is correct. t test

4 0
3 years ago
I need help on how to solve this problem?
Damm [24]
X = -2
..................
5 0
2 years ago
Read 2 more answers
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